The linear functions would be given as follows:
a) Parallel: y = x + 3.
b) Perpendicular: y = -x - 1.
The equations have different slope and intercept.
What is a linear function?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which the coefficients are described as follows:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).For item a, we consider that if two lines are parallel, they have the same slope, hence the line would also have a slope of 1, that is:
y = x + b.
From point (-2,1), we have that when x = -2, y = 1, hence we can solve and find the intercept b as follows:
1 = -2 + b
b = 3.
Hence:
y = x + 3.
For item b, we consider that if two lines are perpendicular, the multiplication of their slopes is of -1, hence:
m = -1.
Then:
y = -x + b.
From the point (-2,1), we can find b as we did above, hence:
1 = -(-2) + b
2 + b = 1
b = -1.
Hence the rule is:
y = -x - 1.
The equations have different slope and intercept, that is, their coefficients are different.
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An outdoor store has 350 beach chairs on sale. The store sells 60% of the chairs by the end of the day.
An outdoor store has 350 beach chairs on sale. The store sells 60% of the chairs by the end of the day.
350 * 0.6 = 210 sold at end of day
350 - 210 = 140 remaining in inventory
Answer:
An outdoor store has 350 beach chairs on sale. The store sells 60% of the chairs by the end of the day.
Step-by-step explanation:
350 * 0.6 = 210 sold at end of day
350 - 210 = 140 remaining in inventory
of a cup of flour
3) A baker used 3 cups of flour to make 7 batches of brownies. He used
to make 1 batch of brownies.
0.428 cups of flour are required to produce one batch of brownies.
Explain Division.One of the four fundamental arithmetic operations is division, which is the process of combining two numbers to create a new number. The remaining operations are multiplication, addition, and subtraction.
Due to that, 7 batches of brownies use 3 cups of flour.
In order to determine how much flour is required to make one batch of brownies
To determine how much flour is needed in one batch of brownies, we divide 3 by 7.
3 cups/7 batches = 0.428 cups
0.428 cup of flour is therefore required to produce one batch of brownies.
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Please help me thank you ;)
Reason:
We have two pairs of congruent sides, and a pair of congruent angles between those sides. The tickmarks tell us which sides are congruent to one another.
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In one year, the total amount of water used in a certain town was 5.342 x 10¹⁸ gallons. In the same year, the town's population was 2.34 x 10¹⁵ people. Determine the approximate amount of gallons used per person in that town in one year.
The approximate amount of gallons used per person with the population of 2.34 x 10¹⁵ people is 2283 gallons.
How can the number of gallons be calculated?We were given the total amount of water used in a the town as 5.342 x 10¹⁸
We were also told that the total number of the people in that town is 2.34 x 10¹⁵ people.
Then we can determine the amount of gallons used per person by making the division of the total amount of the water used by the total number of the people in the town as :
( 5.342 x 10¹⁸)/(2.34 x 10¹⁵ )
= 2283 gallons.
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find the area of this circle
Answer:
A= πr²
where pi = 3
and r = 3
A = 3 x 3²
3 x 9
area = 27 ft²
What is the image of the point (-6,2)(−6,2) after a rotation of 180^{\circ}180 counterclockwise about the origin?
After a rotation of 180° counterclockwise about the origin, the image of the point will be (6, -2).
What is the image of the point after the rotation?A rotation of 180° counterclockwise (or clockwise, is the same thing actually) always moves our point two quadrants, and it will only change the signs of the coordinates of the point.
In this case, we start with the point whose coordinates are (-6, 2), so it is on the second quadrant.
Then, after the rotation is applied, the new coordinates of our point will be on the fourth quadrant, so we will have a positive x-value and a negative y-value.
Then the new coordinates are:
(- (-6), -2) = (6, - 2)
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Janet and her parents are going to visit scotsbury college, which is 420 miles from where they live. they plan to drive for 4.5 hours on the first day, then stop at a hotel for the night and complete the trip on the second day. they expect their average speed will be 60 miles per hour. which equation can janet use to predict how many hours, h, they will drive on the second day?
Janet can use an equation 60 = 420 / (4.5 + h) to predict the number of hours they will drive on the second day.
In this question, we have been given that the distance between Janet's college and Janet's home is 420 miles.
d = 420 miles
Janet and her parents plan to drive for 4.5 hours on the first day, then stop at a hotel for the night and complete the trip on the second day.
Let they drive for 'h' hours on the second day.
This means, total time = (4.5 + h) hours
They expect their average speed will be 60 miles per hour.
Using the formula of speed,
speed = distance / time
60 = 420 / (4.5 + h)
Janet can use above equation to predict the number of hours they will drive on the second day.
We need to find the value of h.
4.5 + h = 420 / 60
4.5 + h = 7
h = 2.5 hours
This means, they will drive for 2.5 hours on the second day.
Therefore, Janet can use an equation 60 = 420 / (4.5 + h) to predict the number of hours they will drive on the second day.
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the mean score of the insurance commission licensure examination is 75 with a standard deviation of 5. what minimum percentage of the data set that lies between 50 and 100
Minimum percentage: 96% of the data set lies between 50 and 100.
The value of k:
Mean – (k) (sd) = lower limit
75 – 5K - 50
75 – 50 = 5k
25 = 5k
K = 5
For the percentage, we are using:
1 – 1/k^2.
1 - 1/ 25 = 24/25 = 96%
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write square root 3 * square root 6 in the form b square root 2 where b is an integer
Answer:
3 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{3} *\sqrt{6}[/tex]
Multiply together
[tex]\sqrt{3*6}[/tex]
Rewriting
[tex]\sqrt{9 *2}[/tex]
[tex]\sqrt{9} \sqrt{2}[/tex]
3 [tex]\sqrt{2}[/tex]
please help me answer this question also I'm kind of in a rush you can take your time
a) We can compare the functions about their transformations, there are some rules of translation/transformation:
*f(x)+b shifts the function b units upward
*f(x)-b shifts the function b units downward
f(x+b) shifts the function b units to the left
f(x-b) shifts the function b units to the right
-f(x) reflects the function in the x-axis.
By this, we can say that g(x) is 3 units upward f(x). h(x) is 4 units upward f(x).
k(x) is 1 unit downward f(x).
b) By the same rules, we can say that (x) is translated 2 units to the left.
s(x) is translated 4 units to the left.
q(x) is translated 2 units to the right.
Solve the equation on the interval [0, 2\pi).
2cscx+17=15+cscx
Answer for Acellus please.
Help ASAP
The solution of the equation, 2cscx+17=15+cscx on the interval [0, 2π) will be7π/6 and 11π/6.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
2cscx+17=15+cscx
The interval is [0,2
The solution of the equation 2cosec x+17 = 15+cosec x is 7π/6 and 11π/6.
⇒ 2csc x + 17 = 15 + csc x
⇒ 2csc x - csc x = 15 - 17
⇒ csc x = -2
As we know,
csc x = 1/sinx
⇒ 1/sinx = -2
⇒ sinx = -1/2
⇒sin 30° = 1/2
As the value of sinx is negative, the x will be in the 3rd and 4th quadrants.
The values in the 3rd quadrant are,
= 180° + 30°
= 210°
The value in the 4th quadrant is,
= 360° - 30°
= 330°
As a result, the obtained value of x is,
x = 210°
x = 210 × π/180
x = 7π/6
x = 330°
x= 330 × π/180
x= 11π/6
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Consider the rectangular prism, The slices below are
made in this prism. Describe the resulting figure to
the corresponding slice and the dimensions for
slice A and slice B.
What is cross-section slicing ?
As per the figure, cross-sectional slicing means the division of the three-dimension into half and they are divided into the 3D view thus forming a
rectangular prisms.
All the 3 dimension figures include the cone, rectangle, and triangle. The volume of space that the cross-section of the plane makes tells us about the figure.
A slice parallel to the base of the rectangular prism, would result in two rectangular prisms. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle of dimension : 3cm x 4cm x 2cm.
A slice perpendicular to the base of the rectangular prism, would result in two rectangular prisms. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle of dimension : 1.5cm x 4cm x 2cm.
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How to solve (2i+6)-4i(3i-5)
Answer:
(2i + 6) -4ix (3i - 5)
18 + 22i
Eric must prove that the base angles of an isosceles triangle are congruent. he draws a line segment that connects the midpoint of the base to the opposite vertex. which postulate may be used to prove the angle congruence?
There are different kinds of triangles. The options that could be used as part of the proof that B = C are;
≅ because of the Symmetric Property
≅ because of the definition of a midpoint
≅ because of the definition of an isosceles triangle
∠ ≅ ∠ because corresponding parts of congruent triangles are congruent.
Isosceles triangles is known to have at least two congruent sides and also at least two congruent angles.
The congruent sides is referred to as legs that create the vertex angle. The other two congruent angles are known to be the base angles.
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Compute the slope of the line below. Enter your answer as a fraction or
decimal. Use a slash mark (/) as the fraction bar if necessary.
-10
10
(0,-2)
Answer here
(2, 2)
10
The slope of line thorough point (0,-2) and (2, 2) is 2.
What is slope?A line's slope can be used to determine a line's direction and steepness. Without actually using a compass, determining the slope of lines in a coordinate plane can help infer whether the lines are parallel, perpendicular, or none at all.
Any line's slope can be calculated using just two clearly separated points along the path. The slope of a line formula compares the "vertical change" to the "horizontal change" in each case when two different points on a line are taken into account.
The slope of the line is given by the point-slope formula
[tex]m =\frac{y_2 -y_1 }{x_2 - x_1}[/tex]
we have (x1,y1) = (0,-2) and (x2,y2) = (2, 2)
Substituting the values we get
[tex]m =\frac{2 -(-2) }{2 - 0}[/tex]
m = 4/2
m = 2
Thus, The slope of line thorough point (0,-2) and (2, 2) is 2.
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Find area and perimeter
The perimeter and area of the given polygon is 24 inches and 20 square inches respectively.
According to the question,
We have a figure with each side being 2 inches.
We know that the perimeter of a figure is sum of all of its sides.
Now, the total number of sides we have are 12.
So, we have:
Perimeter of the polygon = sum of all 12 sides
Perimeter of the polygon = 12*2 (because each side is equal)
Perimeter of the polygon = 24 inches
Now, we know that in a square all four sides are equal. If we observe the given polynomial then we notice that there are 5 squares in it. Out of these 5 squares, 4 are formed with real lines and 1 imaginary line and there is 1 imaginary square in the center with its sides as 2 inches.
We know that the area of square is (side*side).
Area of 5 squares = 5*(side*side)
Area of 5 squares = 5*(2*2) square inches
Area of 5 squares = 5*4 square inches
Area of 5 squares = 20 square inches
Hence, the correct option is A (the first one with 24 inches of perimeter and 20 square inches of square).
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PLEASE I LOVE YOU What is the slope of the line passing through the points (−4, 7) (−8, 5) ?
Answer:
The slope is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
The formula for slope is rise over run.
The rise is the difference between 5 and 7, which is 2.
The run is the difference between -4 and -8, which 4.
2 over 4 simplifies to 1 over 2, which is [tex]\frac{1}{2}[/tex].
Hence, the slope is [tex]\frac{1}{2}[/tex].
Answer: 1/2 or 0.5
Slope formula: (y1-y2) / (x1-x1)
In this example we can set (-4,7) and (-8,5) as:
(-4,7) —> (x1,y1)
(-8,5) —> (x2,y2)
once we plug in our values for x1,y1,x2 and y2 we get:
slope=(7-5)/(-4-(-8))
(double negatives, so it simplifies to -4 + 8)
slope=2/4
slope=1/2
Hope this helped!
PLEASE HELP WITH LOG MATH questions 9 and 10 attached below I WILL GIVE BRAINEST
Ignore the answer I put someone please help me, it keeps trying to give me a answer about Euros.
After solving basic arithmetic, The correct option is A. 7366.10, Yes, we have saved enough money to visit Spain in august.
What is arithmetic?
Mathematics' arithmetic discipline focuses on the study and application of numbers, their relationships, and observations on them.
The word "arithmetic," which is derived from the Greek word "arithmos," or "number," generally refers to the fundamental concepts in number theory, measurement, and computation (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
However, how it has been applied mathematically has not always been consistent. Carl Friedrich Gauss, a renowned German mathematician, first used the term to refer to more complex topics in his Disquisitiones Arithmeticae (1801), and other mathematicians still use it today.
Referrals to the article number theory are made to readers who are interested in the latter.
Our monthly gross salary is $2770.22
So our semi-monthly salary = 2770.22/2
= 1385.11
Social security payment = 6.2% × 1385.11
= $85.87
= 171.74
Medicare payment = 1.45% × 1385.11
= $20.08
= = 40 .16
Monthly expenses = $1200
State tax semi monthly = $52
State tax Monthly = $104
Federal tax semi monthly = $101
Federal tax monthly = $202
Adding all these monthly expense we get a total of
171.74 + 40 .16 + 1200 + 104 + 202
= 1717.9
His saving every month = 2770.22 - 1717.9
= 1052.32
Salary saved in 7 months = 1052.30 × 7
= 7366.10
Thus, The correct option is A. 7366.10, Yes, we have saved enough money to visit Spain in august.
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What equals 4.50??????????????????????????
Answer:
200 I think that is it. If not I'm not sure.
A certain cell phone data plan costs $10 per month plus $5 per GB used. Write an
expression for the monthly cost of the data plan using x GBs. Evaluate the expression
to find the cost of the data plan if 7 GBs of data were used.
Answer:
Expression= 10 + 5x
45 dollars is money used for 7 gigabytes
Step-by-step explanation:
Money used = 10 + 5x
45 dollar is money used for 7 gigabytes
Answer:
y=5x+10
Step-by-step explanation:
the x axis is the amount of GB
the y axis is the money
if we have 5 dollars for every gb then its: y = 5x + 10
Original Problem: 6x−10+4x−6=14x+20+4
Step 1: Combine Like Terms
Step 2: Subtraction Property to combine like variables
Step 3: Simplify
Step 4: Addition Property to combine constants
Step 5: Simplify Step 6: Division Property Final Answer:
Answer: x=-10
Step-by-step explanation:
What is the value of 8b - 3c when b = 3 and c = 4?
Answer:
12
Step-by-step explanation:
substitute b = 3 and c = 4 into the expression
8b - 3c
= 8(3) - 3(4)
= 24 - 12
= 12
Answer:
the answer is 12
Step-by-step explanation:
8×3-3×4=
=24-12
=12
karl is baking a loaf of bread and needs 0.8kg of flour. he has 72g of flour. how much more flour does he need
karl is baking a loaf of bread and needs 0.8kg of flour. he has 72g of flour. So he needs 728g of flour.
What is Subtraction?The arithmetic operation of subtraction simulates the process of deleting items from a collection. The minus symbol or stands for subtraction.For instance, there are 5 2 peaches, which is 5 peaches with 2 subtracted, making a total of 3 peaches. Consequently, 5 – 2 = 3; that is, 5 – 2 = 3.Subtraction can mean eliminating or decreasing physical and abstract quantities utilizing a variety of things, including negative numbers,7, irrational numbers, vectors, decimals, functions, and matrices.In arithmetic, however, subtraction is most commonly linked with natural numbers.There are several key patterns in subtraction. It is anticommutative, therefore altering the sequence alters the answer's sign.Simplification:
Karl has = 72g of flour
More flour needed for baking = 800 - 72 = 728 g
So, Karl needs 728g more flour for baking a loaf of bread.
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Caleb was comparing the price of salmon at two stores. At SuperGrocery B, 2 pounds of salmon costs $21.36. The table below represents the total cost, in dollars and cents, y, that it costs for x pounds of salmon at SuperGrocery A. How much more expensive is it, per pound, to buy salmon at Store B than at Store A?
Using proportional relationships, it is found that it is $0.91 more expensive per pound to buy salmon at Store B.
Proportional relationshipIn a proportional relationship, the output variable y is given by the multiplication of the constant of proportionality k and the input variable x as follows:
y = kx.
In this problem, in each store, the price of the salmon per pound is given by the constant of proportionality of the relation.
At Store B, the price is given as follows:
k = 21.36/2 = $10.68 per pound.
At Store A, the price is given as follows:
k = 97.70/10 = $9.77 per pound.
The difference in prices is given as follows:
10.68 - 9.77 = $0.91 per pound.
Missing InformationThe graph for the prices at Store A is given by the image at the end of the answer.
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20 pts!!!!!!!!!!!
what is (-1678 / 345) +64
The value of (-1678 / 345) + 64 will be -60.86.
What is PEDMAS?In this situation, it's important to use PEDMAS. This implies that the parentheses will be solved first.
The value of (-1678 / 345) +64 is illustrated thus:
= (-1678 / 345) + 64
= -4.86 + 64
= -60.86
In this case, the concept was to solve the numbers in the parentheses before addition
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Pre Calculus help!!!!
it is negative 19 money la china lava tis calsones
Find the slope of the line containing the pair of points.
(3,-1) and (2, - 10)
Answer: The slope is 9.
Step-by-step explanation:
(y2 - y1)/(x2 - x1)
(-10 - -1)/(2 - 3)
-9/-1
9
Select the correct answer from each drop-down menu.
The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.
The consecutive even numbers are
and
.
The consecutive even numbers which are as described in the task content are; 12 and 14.
What are the two consecutive integers which are as described in the task content?It follows from the task content that the numbers which are as described are to be determined.
Let the consecutive even integers in discuss be; x and x+2.
Therefore, since the sum of their squares is; 340; we have;
x² + (x +2)² = 340
2x² + 4x + 4 = 340.
2x² + 4x -336 = 0.
Divide through by 2;
x² + 2x - 168 = 0
By solving quadratically, we have;
(x +14) (x -12) = 0
Therefore, x = -14 or x = 12.
And also, the second number, (x +2) is; -12 or 14.
Therefore, by choosing the positive pair, the required consecutive even integers are; 12 and 14.
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A = 2h solve for h please
