"not more" means "less than or equal to". We just have to use the inequality sign "less than or equal to" which means 5 is less than or equal to x.
Having said that, we can express the statement as follows
[tex]5\leq x[/tex]The logarithmic functions, f(x) and g(x), are shown on the graph.
What is the equation that represents g(x)? Explain your reasoning.
The image of the function after the translation is g(x) = log(x + 1) + 4
How to determine the equation of g(x)?From the graph, the given parameters are:
f(x) = log(x)
From the graph, we can see that:
The graph of f(x) is translated left by 1 unitThe graph of f(x) is translated up by 4 unitsThis transformation is given as
g(x) = f(x + 1) + 4
Mathematically, this transformation can be represented as
(x, y) = (x + 1, y + 4)
When represented as a function, we have
g(x) = f(x + 1) + 4
Substitute the equation f(x) = log(x)
f(x + 1) = log(x + 1) + 4
So, we have the following equation
g(x) = log(x + 1) + 4
Hence, the equation of g(x) is g(x) = log(x + 1) + 4
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44/9
Write as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
4.8888889
Step-by-step explanation:
44/9 is basically the same as 44 ÷ 9.
44 ÷ 9 = 4.8888889.
The 8 is terminating, and because I cannot add a line above the 8, I have placed multiple 8s.
Hope this helps!
Btw, could I get Brainliest? Thanks!
Answer:
4.88889
Step-by-step explanation:
14. pls help will mark brainliest to someone !!!!
The given equation is:
y - 5 = 1/2 (x-4)
On simplifying this,
⇒ y - 5 = (x - 4)/2
⇒ (y - 5) *2 = x - 4
⇒ 2y - 10 = x - 4
⇒ 2y = x - 4 + 10
⇒ 2y = x + 6
Now, let x = 0,
2y = 0 + 6
⇒ 2y = 6
⇒ y = 3
let y = 0,
x + 6 = 0
⇒ x = -6
So, two points of the given equation are (0,3) and (-6,0)
On plotting these points of the graph, we will get the line on the graph.
What is a Line?A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends. Two points on a line can be used to refer to that line.Because there are so many different geometries in modern mathematics, the definition of the geometry and the idea of a line are tightly related. In analytical geometry, for example, a line in the plane is frequently defined as the collection of points whose coordinates satisfy a given linear equation. However, in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.To learn more about Lines, refer to:
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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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60% of 10 is what number?
Percentage is expressed in terms of 100. Thus,
60% of 10 would be expressed as
60/100 * 10
= 6
Thus, 60% of 10 is 6
Which statement about the following sequence is true?
-10, -3, -10, -3, -10, ...
It is arithmetic.
It is geometric.
It is neither arithmetic nor geometric.
The statement about the sequence that is true is (c) It is neither arithmetic nor geometric.
How to determine the true statement?The sequence is given as
-10, -3, -10, -3, -10, ...
Test for arithmetic sequence:
An arithmetic sequence is any seqeunce that has a common difference
The sequence -10, -3, -10, -3, -10, ... does not have a common difference
This is so because the first two terms are repeated through out
Test for geometrics equence:
A geometric sequence is any seqeunce that has a common ratio
The sequence -10, -3, -10, -3, -10, ... does not have a common ratio
This is so because the first two terms are repeated through out
Hence, the true statement is (c)
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How to solve (2i+6)-4i(3i-5)
Answer:
(2i + 6) -4ix (3i - 5)
18 + 22i
2025 cm²
[tex] \times [/tex]
2025 cm²
[tex] = [/tex]
2025 cm² × 2025 cm² = 4100625cm^4
What is Square?
A number is multiplied by itself to form a square. To describe this operation, the term "to square" is employed. For example, the square of 3 can be expressed as 32, which is the number 9, because squaring is the same as raising to the power 2, and it is indicated by a superscript 2. The notations x2 (caret) or x**2 may be used in place of x2 when superscripts are not always an option, such as in programming languages or plain text files. Quadratic is the adjective that describes squaring.
So we have to simply multiply :
2025 cm² × 2025 cm²
By multiplying we get
2025 cm² × 2025 cm² = [tex]4100625cm^{4}[/tex]
Hence, 2025 cm² × 2025 cm² = [tex]4100625cm^{4}[/tex]
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Find the output, yyy, when the input, xxx, is -1−1minus, 1.
y=y=y, equals
On observing the given line graph, we found that the value of y when x = -1 is 3.
What is a line graph?
A line graph is frequently used to display data that varies over time. It can be seen using a series of points connected by straight lines. The x-axis and the y-axis are two of its axes. The x-axis and y-axis are the names of the horizontal and vertical axes, respectively. It reflects the change in a quantity with regard to another quantity.
We are given a line graph which shows the relation between the x and y variables.
We are asked to find the value of y when x = -1.
Since it is a line graph, we can find the value just by looking into the graph as it is continuous.
So on observing the graph, x = -1 is the line between 0 and -2.
When x = -1, the corresponding y value is the point between 2 and 4 between the y-axis, which is 3.
Since each unit on the x and y axes have a value of 2, the line midway between a single unit has a value of 1.
Therefore from the line graph the value of y when x = -1 is 3.
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A = 2h solve for h please
My classesExample 5: The number of calories in a piece of pie is 20 less thanthree times the number of calories in a scoop of ice cream. The pieand ice cream together have 500 calories. How many calories are ineach?x = pie, y = ice creamMULTIPLE CHOICE QUESTIONx= 3y - 20x + y = 500How many calories are in a scoop of icecream?1090370250130
We will investigate the number of calories in ice cream and pie. We will define the variables as such:
[tex]\begin{gathered} x\text{ = Number of calories in pie} \\ y\text{ = Number of calories in ice-cream} \end{gathered}[/tex]From the given data a relationhsip between the number of calories in a pie ( x ) and the number of calories in an ice-cream scoop are given by the following statement:
" The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. "
We will go ahead and decrypt the above given statement and express it mathematically in terms of declared variables ( x and y ) as follows:
[tex]\times\text{ = 3y - 20 }\ldots\textcolor{#FF7968}{Eq1}[/tex]The next statement gives us the combined calories in both ice-cream scoop and a pie:
" The pie and ice cream together have 500 calories. "
We will go ahead and decrypt the above given statement and express it mathematically in terms of declared variables ( x and y ) as follows:
[tex]x\text{ + y = 500 }\ldots\textcolor{#FF7968}{Eq2}[/tex]We have two equations ( derived ) and two variables ( x and y ):
[tex]\begin{gathered} \times\text{ - 3y = -20 }\ldots Eq1\text{ } \\ x\text{ + y = 500 }\ldots Eq2 \end{gathered}[/tex]We will solve the two equations ( Eq1 and Eq2 ) simultaneously using elimation method as follows:
[tex]\begin{gathered} x\text{ - 3y = -20 --- > }\text{\textcolor{#FF7968}{-x}}\text{ + 3y = 20} \\ \textcolor{#FF7968}{x}\text{ + y = 500} \\ =================== \\ 4y\text{ = 520 } \\ y\text{ = }\frac{520}{4} \\ \textcolor{#FF7968}{y}\text{\textcolor{#FF7968}{ = 130 calories}} \end{gathered}[/tex]We first multiplied the ( Eq1 ) by ( -1 ) then added the modified ( Eq1 ) to ( Eq2 ) whilst eliminating ( x ) and solved for the number of calories in an ice-cream scoop ( y ) i.e 130 calories.
Then we will back substitute the value of ( y ) into ( Eq2 ) and solve for ( x ):
[tex]\begin{gathered} x\text{ + y = 500} \\ x\text{ + 130 = 500} \\ \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 370 calories}} \end{gathered}[/tex]Therefore, the number of calories in each confectionary is as such:
[tex]\begin{gathered} \textcolor{#FF7968}{x=370}\text{\textcolor{#FF7968}{ calories in pie}} \\ \textcolor{#FF7968}{y=130}\text{\textcolor{#FF7968}{ calories in an ice-cream scoop}} \end{gathered}[/tex]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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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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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
H name seven segments that skew to segment vw
Segments that skew to segment VW are mentioned below.
Define skew.A deviation from the symmetrical bell curve, or normal distribution, in a set of data is referred to as skewness. The curve is said to be skewed if it is displaced to the left or right. Skew lines are two lines in three-dimensional geometry that neither cross nor are parallel. The two lines that pass through the opposing edges of a normal tetrahedron are a straightforward illustration of a pair of skew lines. A distribution is said to be "skewed right" if the tail is to the right. A distribution is said to be "skewed left" if the tail is to the left. The histogram on top represents a right-skewed distribution.
Given,
Segments that skew to segment VW are:
UZ
TY
SX
ZY
XY
TU
ST
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Look at the image. I dont get it not at all.
The fraction of the larger rectangle that is shaded is 4[tex]c^{-8}[/tex]
What fraction of the larger rectangle is shaded?A rectangle is a two-dimensional shape that has four sides and four right angles. The opposite sides of a rectangle are parallel.
The area of a rectangle is the product of its width and its length. When multiplying numbers that have exponents, multiply the bases and add the exponents.
Area of a rectangle = length x width
Area of the larger rectangle = [tex]4c^{8}[/tex] x [tex]2c^{10}[/tex]
= (4 x 2)[tex]c^{10 + 8}[/tex]
8[tex]c^{18}[/tex]
Area of the smaller rectangle = 8c² x [tex]4c^{4}[/tex]
(8 x 4)[tex]c^{2 + 4}[/tex]
32[tex]c^{6}[/tex]
Fraction of the larger rectangle that is shaded = area of the smaller rectangle / area of the larger rectangle
32[tex]c^{6}[/tex] / 8[tex]c^{18}[/tex] = 4[tex]c^{-8}[/tex]
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PLEASE RESPOND THIS IS VERY URGENT AND ITS FOR TOMORROW.
I WILL MARK YOU AS BRAINLIEST
Giorgio fills up his car which is 60 liters.
After a certain distance, 340 deciliters remained in the tank.
How many liters did it consume?
How much did you spend if 1 liter costs € 1.45? How many liters of petrol can you buy for € 58?
My book has the answer but not step by step explanation
[ 26 liters; €37,70; 40 liters ]
The answers to all the subparts are shown:
(A) Using the conversion factor we know that the consumption of fuel was 26 liters.(B) Giorgio spends €87 on 60 liters of fuel.(C) Giorgio can buy 40 liters of fuel for € 58What is the conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an equal value. For instance, 12 inches equals one foot when converting between inches and feet.(A) So, we know that: 1 liter = 10 decilitre
Similarly, 60 liter = 600 decilitreThen, 340 decilitre = 34 literSo, the consumption of the fuel = 60 - 34 = 26 litres.
(B) Cost of 60 liters of fuel if 1 liter is € 1.45:
60 × 1.45 = €87Giorgio spends €87 on 60 liters of fuel.(C) Liters of fuel he could buy from € 58:
58/1.45 = 40 litresHe can buy 40 liters of fuel for € 58Therefore, the answers to all the subparts are shown:
(A) Using the conversion factor we know that the consumption of fuel was 26 liters.(B) Giorgio spends €87 on 60 liters of fuel.(C) Giorgio can buy 40 liters of fuel for € 58Know more about conversion factors here:
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The correct question is given below:
Giorgio fills up his car which is 60 liters. After a certain distance, 340 deciliters remained in the tank.
(A) How many liters did it consume?
(B) How much did you spend if 1-liter costs € 1.45?
(C) How many liters of petrol can you buy for € 58?
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.
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 it's due tomorrow and I somehow can't understand.
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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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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Armand plans to save money every month for the next six months. The function f(x)=2x−1 represents the amount of money, in dollars, Armand will deposit into his savings account at the end of x months since the time he started saving. Which of the following represents the amount of money, in dollars, Armand deposits into his savings account at the end of 3 months since the time he started saving? Select all that apply.
f(x) represents the total savings for x months. If the number of months is 3, then x = 3.
f(x) = 2x - 1
f(3) = 2(3) - 1
= 6 - 1
f(3) = 5
Find the
inverse of the function
y = 2x^2+2
Answer: (It could just be the first one you did not give enough information for your question so I wasn't sure)
[tex]\sqrt{\frac{x-2}{2} } , -\sqrt{\frac{x-2}{2} }[/tex]
Step-by-step explanation:
Replace y with x:
[tex]y=2x^{2} +2[/tex] ⇒ [tex]x=2y^{2} +2[/tex]
Subract 2 from both sides:
[tex]x-2=2y^{2} +2 -2\\[/tex] ⇒ [tex]x-2=2y^{2}[/tex]
Divide 2 from both sides:
[tex]\frac{x-2}{2} = \frac{2y^{2} }{2}[/tex] ⇒ [tex]\frac{x-2}{2} =y^{2}[/tex]
Square root both sides:
[tex]\sqrt{\frac{x-2}{2} } =\sqrt{y^{2} }[/tex] ⇒ [tex]y=\sqrt{\frac{x-2}{2} }[/tex]
I hope this helps you have a bright blessed day.
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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Find the product of G(x) and H(x) and write it in standard form.
G(x) = 2x + 5
H(x) = x + 4
Answer:
the product of h(x) and g(x) = 2x²+13x+20
Step-by-step explanation:
to do the product of functions you have to multiply all the values of the function by themselves with parentheses . so g(x)×h(x)= (2x+5)(x+4)
because there are parentheses being used you need to foil and thus you will get
2x(x+4)+5(x+4)
simplify and get
2x²+8x+5x+20
continue to simplify and get
2x²+13x+20
this is your answer because it is already in standard quadratic form of ax²+bx+c.
What equals 4.50??????????????????????????
Answer:
200 I think that is it. If not I'm not sure.
134 x 0.01 what is it
PLEASE HELP WITH LOG MATH questions 9 and 10 attached below I WILL GIVE BRAINEST
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
