The graphs of f(x) = 10' and its translation, g(x), are
What is
shown.
O g(x
g(x)
у
460
fa)
go
O g(x)
O g(x)
120
100
(2. 100)
(5, 100)
80
60
40
20
(391) (4.10)
6
1 2 3
5
6
х
140
(1.10)
60
Answer:
The first option
Step-by-step explanation:
The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]
Option A is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and size.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
From the graph, we see that,
The coordinates in the line g(x) are (5, 100) and (4, 10).
Now,
g(x) = [tex]10^{x - 3[/tex] ______(1)
Substituting (5, 100) and (4, 10) in (1)
We get,
g(5) = [tex]10^{5 - 3[/tex] = 100
g(4) = [tex]10^{4 - 3[/tex] = 10
This is true.
Thus,
The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]
Learn more about translation here:
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Please help me 123 or 4........
Answer:
It's 2
Step-by-step explanation:
Hope this helps
Question 5 of 5
Find the length of side a.
13
a
12
O A. 1
O B. 313
O C. 25
O D. 5
Answer:
It's D. 5
Step-by-step explanation:
A^2 + B^2 = C^2
The third length of the right triangle is 5 units. Then the correct option is D.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
We have
P = a
B = 12
H = 13
Then
13² = a² + 12²
169 = a² + 144
a² = 169 – 144
a² = 25
a = 5
Then the correct option is D.
More about the Pythagoras theorem link is given below.
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please help me on this question
Answer:
The answer is A
Step-by-step explanation:
[tex] \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \\ \\ \frac{2 \times 2}{3 \times 2} = \frac{4}{6} [/tex]
A box of cereal states that there are 96 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are there in 3 cups of the cereal?
A) QS = 5, SR = 6
B) QS = 8, SR = 9.6
C) QS = 9.6, SR = 8
D) QS = 2, SR = 8
Answer:c
Step-by-step explanation:
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation:
For the following ordered pairs is the X value positive or negative?
(-2, 1)
(3, -4)
(-4, 6)
(1, -3)
What is 1/4 X 3/5= ?
Answer:
1/4 x 3/5 = 3/ 20
decimal form = 0.15
PlZ DO ALL question A B AND C ARE different question BRAINLY POINTS
Answer:
A is a, B is X=5 and y=6, C is B
Step-by-step explanation:
Because MATH!
Find the Missing side length for #8
Answer:
A
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{LM}{QR}[/tex] = [tex]\frac{KL}{PQ}[/tex] , substitute values
[tex]\frac{x}{15}[/tex] = [tex]\frac{28}{21}[/tex] ( cross- multiply )
21x = 420 ( divide both sides by 21 )
x = 20 → A
A 9-yard roll of white paper costs $1.98. What is the unit price?
Answer:
$0.22
Step-by-step explanation:
divide $1.98 by 9 to get the unit price
9.(06.04 MC)
Find x value for the point that splits segment CD in half if point C is located at (-2, 4) and point D is located at (3, 7). (5 points)
5.5
05
O 0.5
03
Answer:
took the test and its 0.5
Step-by-step explanation:
.
Answer:
The correct answer is C) 0.5
Step-by-step explanation:
I took the test and this was correct!!
Which expression is equivalent to 2(3+a)?
Answers:
A.) : 2a
B.) : 2a+6
C.) 6a+2
D.) 6+a
Answer:
the answer is b
Step-by-step explanation:
here you go mate
step 1
2(3+a) equation/question
step 2
2(3+a) simplify
(2)(3+a)
step 3
(2)(3)+(2a) add them up
answer
6+2a
Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.
If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.
Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.
Since they're money sum up to $95.34, the first expression will be;
x+y+z=95.34
Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;
y=x-12.12
Cesar_x_raised $35more than Dalila_z. So the equation will be;
x=z+35
making z the subject, z=x-35 .
Substituting the Second equation into the first one, we get;
x+x-12.12+z=95.34
Subtracting the third equation into the new equation we get;
x+x-12.12+x-35=95.34
Simplifying, we get 3x- 47.12= 95.34.
3x=142.46
Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!
Answer: did you ever get the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
?
Which equation best represents the line on
the graph?
3
y
B.
-
A. y--3-4
y
-x-4
C. y ---4
D. y-r+4
Answer:
B. y=3/2x - 4
Step-by-step explanation:
As you see in the graph the y intercept was lying on -4 and you rise 3 time and run 2 time to get to your next point.
Write the equation of the line with the given slope and y Intercept.
m=0 b = -11
If a=2 and b=-1 the expression 3ab^2 is equal to
Last year, the average monthly revenue at the Westford Times newspaper was $54,460.70. This year, the average monthly revenue so far has been $70,798.91. What is the percent of increase in the average monthly revenue?
9514 1404 393
Answer:
30% increase
Step-by-step explanation:
The percentage change can be computed from ...
percent change = ((new value)/(old value) -1) × 100%
= (70798.91/54460.7 -1) × 100% = (1.30 -1) × 100%
= 30%
The average monthly revenue increased by 30% from last year.
P(Red Blue) =
Probability
ANSWER FAST ILL GIVE BRAINLIEST!!
Find the surface area of the pyramid to the nearest whole number.
Given:
A square base pyramid whose base length is 10 in. and height of triangular surface is 4 in.
To find:
The surface area of the pyramid to the nearest whole number.
Solution:
A square base pyramid contains square base with edge 10 in. and 4 congruent triangles with base 10 in. and height 4 in.
Area of a square is
[tex]A_1=(edge)^2[/tex]
[tex]A_1=(10)^2[/tex]
[tex]A_1=100[/tex]
So, area of square base is 100 sq. in.
Area of a triangle is
[tex]A_2=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_2=\dfrac{1}{2}\times 10\times 4[/tex]
[tex]A_2=20[/tex]
So, area of each triangular surface is 20 sq. in.
Now, the total surface area of the pyramid is
Total area = Area of square base + Area of 4 congruent triangles.
[tex]A=A_1+4\times A_2[/tex]
[tex]A=100+4\times 20[/tex]
[tex]A=100+80[/tex]
[tex]A=180[/tex]
Therefore, the area of the pyramid is 180 sq. in.
26) One third of the students earned an A on the test. If 9 of the students earned an A, how many students are there in total?
Answer:
27
Step-by-step explanation:
9 students = 1/3, 9 students = 1/2, 9 students = 1/3 so 9 x 3 =27
Peter is folding brochures for his Dad's new company. After 1 hour, he has 330 brochures left to fold. After 4 hours, he only has 90 brochures left to fold.
(From the above statements you should be able to create two ordered pairs. I will create one for you..... (1,330). Now you create the other ordered pair and continue with the problem.)
Write an equation in slope-intercept form, y=mx+b, that represents the number of brochures Peter has left to fold, , after a given number of hours, x.
Answer:
y = -80x + 410
Step-by-step explanation:
(1,330) is the first point, the other point is (4,90)
m = y2 - y1/x2 - x1
m = 90 - 330/4 - 1
m = -240/3
m = -80/1
m = -80
y - y1 = m(x - x1)
y - 330 = -80(x - 1)
y - 330 = -80x + 80
y = -80x + 80 + 330
y = -80x + 410
What is the measure of ZABC?
A
/(x + 45)
(3x)
(6x + 5)º
B
С
D
Enter the correct answer in the box.
Please help!! :)
Answer:
I think <ABC is 83° but I am not sure sorry if is wrong
i need help with a question.
Martin is paid an hourly rate of d dollars per hour for the first 40 hours he works per week. He is paid one-and-a-half times his
hourly rate for each hour he works in excess of 40 hours per week.
If Martin was paid $770 for working 50 hours in one week, which equation can be used to calculate d, Martin's hourly rate of pay?
Answer:
40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.
Step-by-step explanation:
Given that:
Hourly rate = d
Earning to first 40 hours = 40d
Earning of more than 40 hours = 1.5d
Amount paid per week = $770
Hours worked = 50 hours
first 40 hours + 10 hours = total earned
40d + 10(1.5d) = 770
Hence,
40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.
The coach of a track team is standing on
the outside of a circular track. What is the
maximum distance he can be from one of
his track teammates if the distance from the
coach to the center of the track is 52.4
· feet? Explain how you know your answer is
correct.
,.....................
Sonya had 20 dollars to spend on 3 gifts. She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C?
Answer:
6 19/20 dollars
Step-by-step explanation:
Sonya had 20 dollars to spend on 3 gifts.
She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.
Gift A + Gift B + Gift C = $20
Gift C = $20 - (Gift A + Gift B)
Gift A = $8 1/4
Gift B = $4 4/5
Hence:
The amount she had left for gift C is :
Gift C = $20 - ($8 1/4 + $ 4 4/5)
Gift C = $20 - $13 1/20
Gift C = $ 6 19/20
What is the surface area?
Answer:
0.5 X 15 X 20 = 150m squared
150 X 2 = 300m squared (that's the two triangles done)
25 x 7 = 175m squared (front)
15 X 7 = 105m squared (base)
20 X 7 = 140m squared (back)
now add them all together
300 + 175 + 105 + 140 = 720
SA = 720cm squared
Answer:How do u find the surface area of a cube?
To determine the surface area of a cube, calculate the area of one of the square sides, then multiply by 6 because there are 6 sides. This is the same as solving using the formula SA = 6s2. If you are given the surface area, you can determine the side length by working backwards.
Step-by-step explanation: I was bored