The number line below shows five points ,labeled J,L,M,Q and R
Answers
The two points that have a distance of 3/8 between them are J and M.
We have,
The number line has 8 parts between 0 and 1.
This means,
One part = 1/8 units
Now,
The distance between two different points:
Between J and L:
= 2/8
Between J and M:
= 3/8
Between J and Q:
= 7/8
Between J and R:
= 1
Between L and M:
= 1/8
Between L and Q:
= 5/8
Between L and R:
= 6/8
Between M and Q:
= 4/8
Between M and R:
= 5/8
Between Q and R:
= 1/8
Thus,
The two points that have a distance of 3/8 between them are J and M.
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Related Questions
Which of the following steps is needed to inscribe a circle in a triangle?
Find the incenter of the triangle
Find the circumcenter of the triangle
Find the orthocenter of the triangle
Find the centroid of the triangle
Answers
Answer:
Find the incenter of the triangle
Step-by-step explanation:
Step 1: We draw angle bisectors for 2 angles and mark their intersection.
Step 2: Next, we drop a perpendicular line from the incenter of the circle to one edge of the triangle.
i need help. this is algebra 2 and im currently going “bootcamp for it*
Answers
A table of values for g(x) has been completed below;
x f(x) g(x)
-2 3 8
0 1 7
1 -4 1
3 -2 3
What is a translation?In Mathematics and Geometry, the translation a geometric figure upward simply means adding a digit to the value on the positive y-coordinate (y-axis) of the pre-image;
g(x) = f(x) + N
Since the parent function f(x) was translated 5 units up, we have the following transformed function;
g(x) = f(x) + 5
Therefore, the table of values should be completed as follows;
x f(x) g(x)
-2 3 8
0 1 7
1 -4 1
3 -2 3
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A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius are modeled by the equation (x+3)^2 + (y-1)^2 = 25. Which graph shows the position and radius of the wheels? * 1 point
Answers
Given the graph below, which of the following statements is true?
64 32
-5-4-3-2-11 1 2 3 4 5
-2
The graph represents a one-to-one function because every x-value is paired with only one y-value.
O The graph represents a one-to-one function because it is defined for all x-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-
values.
Answers
However, we can determine whether the graph represents a one-to-one function based on its shape. A one-to-one function is a function in which every x-value is paired with only one y-value. In other words, no two different x-values can have the same y-value.
Looking at the graph, we can see that for every x-value, there is only one corresponding y-value. Therefore, the graph represents a one-to-one function because every x-value is paired with only one y-value. This makes the statement "The graph represents a one-to-one function because every x-value is paired with only one y-value" true.
The graph doesn't represent a one-to-one function because certain y-values between 0 and 2 are paired with multiple x-values(D). A one-to-one function requires each x-value and y-value to be paired uniquely.
Explanation:Based on your question, it seems that the graph is displaying a situation where certain y-values between 0 and 2 are associated with multiple x-values(D). In this case, the graph does not represent a one-to-one function. This is because a one-to-one function, by definition, must have each y-value corresponding to exactly one x-value and each x-value corresponding to exactly one y-value. Passing through the origin, or being defined for all x-values, is not a necessary condition for a function to be one-to-one. The key definition of one-to-one functions lies in the uniqueness of the pairs.
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3x(x + 4) + 3(x + 4) = 0
Answers
The solution to the equation 3x(x + 4) + 3(x + 4) = 0 is x = -4 or x = -1.
What is the solution to the given equation?Given the equation in the question:
3x(x + 4) + 3(x + 4) = 0
To determine the solution to the equation.
First, factor out the common factor of (x + 4) from the left-hand side of the equation:
3x(x + 4) + 3(x + 4) = 0
3(x + 4)(x + 1) = 0
The equation is now in factored form, and we can use the zero product property to find the values of x that satisfy the equation:
3(x + 4)(x + 1) = 0
(x + 4)(x + 1) = 0 (Divide both sides by 3)
Using the zero product property, we know that:
(x + 4) = 0 and (x + 1) = 0
Solving for x, we get:
x + 4 = 0 and x + 1 = 0
x = -4 and x = -1
Therefore, the solution s are x = -4 and x = -1.
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Which will have a higher effective interest rate, a payday loan for $2300 due in
15 days with a fee of $120 or a payday loan for $2300 due in 13 days with a
fee of $120?
OA. A payday loan for $2300 due in 15 days with a fee of $120,
because it has the longer period
OB. A payday loan for $2300 due in 13 days with a fee of $120,
because it has the shorter period
OC. A payday loan for $2300 due in 13 days with a fee of $120,
because it has the longer period
OD. A payday loan for $2300 due in 15 days with a fee of $120,
because it has the shorter period
Answers
A payday loan for $2300 due in 13 days with a rate of $120, because it has the shorter period and this will have a higher effective interest rate, Therefore option B is correct.
The effective interest rate (EIR) takes into account the whole value of the loan such as fees and the period of the loan.
In this situation, both loans have the equal rate of $120, so the full price is the same.
However, the mortgage due in thirteen days has a shorter length, meaning that the hobby is being charged over a shorter amount of time, resulting in a better effective interest rate compared to the mortgage due in 15 days.
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6. Based on the table, what is the best prediction of a
person's blood pressure if he or she worked 32 hours a
week?
F. 97
G. 140
H. 130
J. 125
Answers
The best prediction of a person's blood pressure if he or she worked 32 hours a week is given as follows:
J. 125.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points for the data-set in this problem are given as follows:
(75, 172), (41, 130), (85, 170), (56, 142), (25, 125), (60, 141), (48, 138).
Inserting these points into a calculator, the linear regression equation predicting the blood pressure of a person that works x hours a week is given as follows:
y = 0.86x + 97.47
Hence the prediction when x = 32 is given as follows:
y = 0.86(32) + 97.47
y = 125.
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Which sequence below is geometric? 1, 2, 4, 7, 11, … 972, 486, 243, 121.5, … 25, 50, 75, 100, … 5, 10, 30, 60, … What is the rule for the geometric sequence?
Answers
The rule for the geometric sequence is [tex]a_n = a_{n-1} * (1/2).[/tex]
The sequence that is geometric is: 5, 10, 30, 60, ...
To determine if a sequence is geometric, we look for a common ratio between consecutive terms. If the ratio between any two consecutive terms is the same, then the sequence is geometric.
For the first sequence, the differences between consecutive terms are 1, 2, 3, 4, which are not constant. Therefore, the first sequence is not geometric.
For the second sequence, the ratio between consecutive terms is 486/972 = 1/2, and the ratio between any two consecutive terms is the same (1/2). Therefore, the second sequence is geometric.
For the third sequence, the differences between consecutive terms are 25, 25, 25, which are constant. Therefore, the third sequence is not geometric.
For the fourth sequence, the ratio between consecutive terms is 10/5 = 2, the ratio between the second and third term is 30/10 = 3, and the ratio between the third and fourth term is 60/30 = 2. Therefore, the fourth sequence is geometric.
The rule for the geometric sequence is that each term is found by multiplying the previous term by a constant factor, called the common ratio. In the second sequence, the common ratio is 1/2, and the rule is:
[tex]a_n = a_{n-1} * (1/2)[/tex]
where a_n represents the nth term in the sequence. So, for example, the fourth term in the sequence can be found by:
[tex]a_4 = a_3 * (1/2)[/tex] = 121.5 * (1/2) = 60
Therefore, the rule for the geometric sequence is[tex]a_n = a_{n-1} * (1/2).[/tex]
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Answer:
hope this helps
Step-by-step explanation:
John buys 100 shares of ABC Corporation at option pricing. The current price of the share is $12.00, and the strike price is $80. The option has to be exercised before the expiry of one month. The price of the stock increases to $120 and John exercises his option before the expiry date. What is John's position?
He gains $3,000
He loses $2,800
He gains $2,800
He loses $3,000
Answers
However, we can calculate the profit or loss that John makes from exercising the option based on the given information. If John exercises the option when the stock price is $120, he can buy 100 shares of ABC Corporation at the strike price of $80 per share, and then sell them in the market at the current price of $120 per share. Therefore, his profit would be:
Profit = (selling price - buying price) x number of shares
Profit = ($120 - $80) x 100
Profit = $4,000
However, this profit does not take into account the option price that John paid, which would reduce his overall profit. If the option price is less than $200, John would still make a profit from exercising the option, but if the option price is more than $200, John would make a loss.
pls help please i need this
Answers
Select the correct answer.
Rachael is giving a geometry test and wants to draw a regular polygon. Which geometric figure will help her to get such a geometric figure?
A.
a circle
B.
a square
C.
a triangle
D.
a rectangle
E.
a parallelogram
Answers
Answer:
A. Circle
To draw a regular polygon, one can use a circle as a geometric figure. A regular polygon is a polygon with all sides and angles equal. By inscribing a polygon inside a circle, the vertices of the polygon are evenly spaced on the circumference of the circle, and the radius of the circle is equal to the distance between the center of the circle and the vertices of the polygon. This ensures that all sides of the polygon are of equal length, and all angles between the sides are equal. Therefore, by using a circle as a geometric figure, Rachael can draw a regular polygon with ease.
Select the correct answer. What is the end behavior of the cube root function represented by this graph? The graph of radical function passes through (minus 5, 2), (3, minus 2), and (6, minus 5) also intercepts the x-axis at 2 units and y-axis at 1 unit A. As x decreases in value, decreases in value. As x increases in value, increases in value. B. As x decreases in value, increases in value. As x increases in value, increases in value. C. As x decreases in value, increases in value. As x increases in value, decreases in value. D. As x decreases in value, decreases in value. As x increases in value, decreases in value.
Answers
The end behavior of the cube root function represented by the graph is B. As x decreases in value, f ( x ) increases in value. As x increases in value, f ( x ) decreases in value.
The given data is
(-5, 2)
(0, 1) = y-axis at 1 unit
(2, 0) = intercepts the x-axis at 2 units
(3, -2)
(6, -5)
Examining the increasing and decreasing trend as represented by the ordered pairs it shows that
x ⇒ -∞ f(x) ⇒ ∞
x ⇒ ∞ f(x) ⇒ -∞
This end behavior is described by option B.
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Building codes generally require that the ventilating area be not less than
1/150 of the area of the floor of the attic space being ventilated. If the attic of a house is 70 feet by 65 feet, what is the minimum number of square inches of ventilation needed?
Answers
The minimum number of square inches of ventilation = 4,367
Given that;
Area of ventilation should not be less than 1/150
Attic of house = 70ft X 65ft
The attic floor's overall size is:
Area is = length x breadth.
Area of 70 ft X 65 ft = 4,550 square feet
We must now locate 1/150th of this area: 30.333 square feet
= 1/150 x 4,55
Convert square feet to square inches as it need the result in square inches.
1 square foot is 144 square inches,
Thus, 30.333 x 144 = 4,366.752 square inches.
Consequently, 4,367 square inches or less of ventilation space is required as a minimum.
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Find chord XW with the given information
Answers
The measure of arc XW in the circle shown in the image above is calculated as: m(XW) = 108°.
How to Find the Measure of an Arc?To find the measure of the arc indicated in the circle, recall that a circle measures 360 degrees.
Therefore, create an equation to find x as shown below:
m(XW) + m(XY) + m(WY) = 360° [full circle]
Given the following:
m(XW) = 37x - 3
m(XY) = 32x - 2
m(WY) = 51x + 5
Plug in the values:
37x - 3 + 32x - 2 + 51x + 5 = 360
Combine like terms:
120x = 360
Divide both sides by 120:
120x/120 = 360/120
x = 3
m(XW) = 37x - 3 = 37(3) - 3
m(XW) = 108°
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Data were collected on the weight, in ounces, of puppies for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 4.25 + 0.4d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.
What is the w-intercept of the line of fit and its meaning in terms of the scenario?
1) 0.4; a puppy who is just born is predicted to weight 0.4 ounces
2) 0.4; for each additional day after the puppy is born, its weight is predicted to increase by 0.4 ounces
3) 4.25; for each additional day after the puppy is born, its weight is predicted to increase by 4.25 ounces
4) 4.25; a puppy who is just born is predicted to weigh 4.25 ounces
Answers
Answer:
The correct answer is 4) 4.25; a puppy who is just born is predicted to weigh 4.25 ounces.
Step-by-step explanation:
The w-intercept of the line of fit is the value of w when d = 0. In other words, it is the predicted weight of a puppy when it is born.
From the equation w = 4.25 + 0.4d, we can see that when d = 0, the value of w is:
w = 4.25 + 0.4(0) = 4.25
Therefore, the w-intercept of the line of fit is 4.25.
This means that a puppy who is just born is predicted to weigh 4.25 ounces.
So, the correct answer is 4) 4.25; a puppy who is just born is predicted to weigh 4.25 ounces.
A city has a population of 210,000 people suppose that each year the population grows by 8.25% what will the population be after 12 years round to the nearest whole number
Answers
The required, we get a population of 543694 after 12 years.
To find the population of the city after 12 years, we need to apply the formula for compounding:
[tex]A = P(1 + r/n)^{(nt)}[/tex]
In this case, P = 210,000, r = 0.0825 (8.25% expressed as a decimal), n = 1 (since the growth is yearly), and t = 12. Plugging in these values, we get:
A = 210,000(1 + 0.0825/1)¹ˣ¹²
A = 210,000(1.0825)¹²
A ≈ 543693.51
Rounding this to the nearest whole number, we get a population of 543694 after 12 years.
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Please answer all the questions today
Answers
The word problem makes use of the division number sentence to find the answer which is given as 4 apples
How to solveDivision number sentence: 40 ÷ 10 = 4
Multiplication number sentence: 10 × (1/4) = 2.5
Word problem:
Mr. Oliveras has 40 apples and wants to divide them equally among 10 students. How many apples does each student receive?
This can be solved using the division number sentence: 40 ÷ 10 = 4.
Each student gets 4 apples.
Therefore, the word problem makes use of the division number sentence to find the answer which is given as 4 apples
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a. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
Answers
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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Janelle has $13,163 in a savings account that earns 14% annually. The interest
is not compounded. To the nearest cent.How much interest will she earn in 3 months?
Answers
Interest = Principal x Rate x Time
Where:
- Principal is the amount of money Janelle has in her savings account ($13,163)
- Rate is the annual interest rate (14%)
- Time is the length of time the interest will accrue (3 months, or 0.25 years)
Plugging in the values, we get:
Interest = $13,163 x 0.14 x 0.25 = $460.66
Therefore, Janelle will earn $460.66 in interest after 3 months.
To calculate the interest earned in 3 months, we need to first find the monthly interest rate.
The annual interest rate is 14%, so the monthly interest rate is:
14% / 12 months = 1.1667% per month
Next, we can calculate the interest earned in 3 months by multiplying the monthly interest rate by the principal (the amount in the savings account):
3 months * 1.1667% per month * $13,163 = $485.95
Therefore, Janelle will earn $485.95 in interest in 3 months.
Help please . Find The surface of area
Answers
The surface of area of the rectangular prism is 52 cm².
What is the surface of area of the prism?A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The surface of area of a rectangular prism is expressed as;
SA = 2( wl + hl + hw )
Where w is the width, h is height and l is length
From the diagram:
Length l = 3cm
Width w = 2cm
Height h = 4cm
Plug these values into the above formula and solve for the surafce area.
SA = 2( wl + hl + hw )
SA = 2( 2×3 + 4×3 + 4×2 )
SA = 2( 6 + 12 + 8 )
SA = 2( 26 )
SA = 52 cm²
Therefore, the surface area is 52 cm².
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When solved, which expressions below will have a 1 in the
tenths place?
Select all that apply.
A) 24.321 x 100
B) 25.671 x 10
C) 96.51 x 10
D) 89.15 x 100
Answers
When solved, the expressions below that will have a 1 in the tenths place is A) 24.321 x 100 and C) 96.51 x 10
How can the expressions that will have a 1 in the tenths place be known?From the question we were told to find the the expressions that will have a 1 in the tenths place which implies that we will need to find the simplification of each expression by perforimgmultiplication operation on eaqch of the given expression which can be done as ;
The first option;
24.321 x 100 = 2432.1
The second option;
25.671 x 10 = 256.71
The third option;
96.51 x 10 = 965.1
The fifth option;
89.15 x 100 = 8915
We can see that in option A and option C that the have a 1 in the tenths place.
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Find the surface area of this cube. Be sure to include the correct unit in your answer. 4 m 4 m 4 m
Answers
Answer: 96 cm2
Step-by-step explanation:
Surface area of a cube= (x)^2(6)
First we find the area of one face of the cube which is; 4x4 or 4^2 = 16
We know that a cube has 6 faces, therefore we take the area of one face multiply the total number of faces: 16x6= 96 cm2
Surface area = 6 x (4 m)^2 = 6 x 16 m^2 = 96 m^2
Therefore, the surface area of the cube is 96 square meters (m^2)
i need help. this is algebra 2 and im currently going “bootcamp for it*
Answers
Answers:
8
6
1
3
Reason:
Add 5 to each value in the f(x) column.
Example: 3+5 = 8 for the first row.
This will shift each point 5 units up. This is because we're moving 5 units up the y axis.
you need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for 3.29 a pound which is cheaper that your usual neighborhood store which sells it for $3.59 a pound
Answers
It is not worth the extra drive to the store across town for the cheaper chicken.
To determine if it is worth the extra drive to the store across town for the cheaper chicken, we need to consider the cost of gas and the time spent driving.
First, let's calculate the cost difference between the two stores. For 7 pounds of chicken, the neighborhood store would cost $3.59/pound x 7 pounds = $25.13. The store across town would cost $3.29/pound x 7 pounds = $23.03. So, by going to the store across town, we would save $2.10 on chicken.
Next, let's calculate the cost of gas. To drive to the store across town and back, we will travel a total of 17.6 miles (8.8 miles each way). With a car that averages 24 miles per gallon, we will use approximately 0.73 gallons of gas for this trip (17.6 miles / 24 mpg). At a cost of $3.85 per gallon, the cost of gas for this trip would be approximately $2.81.
Now, let's consider the time spent driving. Driving to the neighborhood store and back would take approximately 16 minutes (8 minutes each way). Driving to the store across town and back would take approximately 48 minutes (24 minutes each way). So, by going to the store across town, we would spend an extra 32 minutes driving.
In summary, if we go to the store across town for the cheaper chicken, we will save $2.10 on chicken, but spend $2.81 on gas and an extra 32 minutes driving. In this case, the cost of gas and time spent driving outweighs the savings on chicken.
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Complete question is:
you need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for 3.29 a pound which is cheaper that your usual neighborhood store which sells it for $3.59 a pound. Is it worth the extra drive?
Information you'll need:
How much chicken will you be buying? 7 pounds
How much far are the two stores? My neighborhood store is 2.3 miles away, and takes about 8 minutes. The store across town is 8.8 miles away, and takes about 24 minutes.
How kind of mileage does your car get? It averages about 24 miles per gallon in the city.
How many gallons does your car hold? About 16 gallons
How much is gas? About $3.85/gallon right now.
What’s the answer? Worth 20 pts!!
Answers
The correct statement regarding whether we can prove that the lines are parallel is:
Yes. Alternate Interior Angles Converse.
What are alternate interior angles?Alternate interior angles happen when there are two parallel lines cut by a transversal lines.
The two alternate exterior angles are positioned on the inside of the two parallel lines, and on opposite sides of the transversal line, and they are congruent.
The red sectors represents that the angles are alternate interior angles for the problem, hence the correct option is given as follows:
Yes. Alternate Interior Angles Converse.
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What is an equation for the circle? A circle graphed on a coordinate plane. The circle has center at (3, negative 1) and passes through the points (negative 2, negative 1) and (8, negative 1). A. (x + 1)2 + (y – 3)2 = 25 B. (x – 1)2 + (y + 3)2 = 25 C. (x + 3)2 + (y – 1)2 = 25 D. (x – 3)2 + (y + 1)2 = 25
Answers
The equation of the circle is (x – 3)² + (y + 1)² = 25.
D. is the answer.
How create the equation of the circle graph?The general equation of a circle is given by:
(x – h)² + (y – k)² = r²,
where (h, k) is the coordinate of the circle's center, and r is the radius.
Thus, (h, k) = (3, -1) and the circle passes through (-2, -1) i.e. (x, y) = (-2, -1). Substituting into the equation, we can get the radius. That is:
(x – h)² + (y – k)² = r²
(-2 – 3)² + (-1 – (-1))² = r²
(-5)² = r²
25 = r²
r² = 25
Substitute only h, k and r² back into the general equation to get the equation of the graph. That is:
(x – h)² + (y – k)² = r²
(x – 3)² + (y – (-1))² = 2
(x – 3)² + (y + 1)² = 25
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Where should the point P be chosen on line segment AB so as to maximize the angle ? (Assume a = 3 units, b = 5 units, and c = 8 units. Round your answer to two decimal places.)
Answers
The point P should be chosen at 1.07 units to maximize the angle.
How to use pythagoras theorem?From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.
Using pythagoras theorem,
tan M = a/(b - x)
M = tan⁻¹(a/(b - x))
Also, we can say that:
tan N = c/x
N = tan⁻¹(c/x)
Angle θ is given by:
θ = 180 - M - N
θ = 180 - tan⁻¹(a/(b - x)) - tan⁻¹(c/x)
Given that a = 3 units, b = 5 units, and c = 8 units. Thus:
θ = 180 - tan⁻¹(3/(5 - x)) - tan⁻¹(8/x)
To maximize angle θ, the differentiation of θ with respect to x must be equal to zero.
i.e. dθ/dx = - 3/(x² - 10x + 34) + 8/(x² + 64) = 0
8/(x² + 64) = 3/(x² - 10x + 34)
8(x² - 10x + 34) = 3(x² + 64)
8x² - 80x + 272 = 3x² + 192
5x² - 80x + 80 = 0
Using quadratic equation calculator gives:
x = 1.0718
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Write the fraction as a mixed number 10/20
Answers
Please Help Marked for all my points and will Brainliest
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π,√6,2√6,√7
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(B) Order the ribbon sizes from least to greatest.
Answers
The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6 < √7 < π < 2√6
(a)
π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)
√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)
2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)
√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)
(b)
Order from least to greatest:
√6 < √7 < π < 2√6
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Mr. Richardson is using a pump to drain the community pool. This function describes the depth of the pool, in feet, after x hours.
y = -0.6x + 4
What does the number 4 represent?
Answers
Answer:
the depth of the pool, in feet, before Mr. Richardson started draining it
Step-by-step explanation:
y = -0.5x + 4 is the in the slope-intercept form, whose general form is
y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is where the line intersects the x axis and in order to intercept the y-axis, x has to be 0.
Thus, when the y-intercept is 4, we know that x-value is automatically 4 and therefore Mr. Richardson's pool was already at a depth of 4 feet before the draining began.
