The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,
therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).
The choice that correctly describes how the graph of g(x) compares with f(x)
is the option; H. The graph of g(x) is translated unit(s) up compared to graph
of f(x).
Reasons:
The given function is f(x) = 5·x - 4
The function g(x) = f(x) + 12
Required:
To select the correct choice from the given options
Solution:
The difference between f(x) and the required function, g(x), is the addition
of a constant positive value of 12 to the function f(x).
Therefore, each f(x) output value is further increased by 12 to obtain the
graph of g(x), which gives;
The graph of g(x) is translated 12 units up compared to the graph of f(x),
which corresponds with the option H.
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5 positive integers are arranged in ascending order, as follows:
5, 7, 10, 11, X
The mean and the median are equal.
Find X.
Below is a recipe for chocolate chip cookies. The recipe makes 27 cookies. How many teaspoons of vanilla extract do you need to make 24 cookies? Round to the nearest hundredth if needed.
Answer: 1.78 teaspoons
Step-by-step explanation:
The recipe says: 27 cookies/2 teaspoons Vanilla extract. Let's abbreviation this conversion factor as (27/2)C/V, where C is cookie and V is 1 teaspoon vanilla extract. We have both 13.5C/V and 1V/13.5C as conversion factors. 13.5 cookies is equivalent to 1 teaspoon vanilla, or 1 teaspoon vanilla is equivalent to 13.5 cookies. We can multiply ofr divide either of these factors, since they are both equivalent to 1, and you can mukltiply or divide anything by 1 without changing it's accuracy. The atual numbers will change, but the units will also change, making it a valid result.
We want 24 cookies. Use one of the conversion factors to find the teaspoons vanilla extract required:
1) We can divide by (27C/2V)
24C/((27C/2V) = 1.78 teaspoons
or
2) we can multiply by (1V/13.5C)
24C*(1V/13.5C) = 1.78 teaspoons
Todd is buying material to fence his new garden. He buys 2 strands of barbed wire and a post for every 3m of fence. Each post costs 300 dollars and barbed wire costs 20 dollars per meter. What is the shape of the largest area Todd can enclose if he spends 3000 dollars on fence material? Show your work.
fence material 268 is your answer..
I'm really bad at age chart problems.
Can someone help me with this and provide an explanation?
Answer: 10
Step-by-step explanation:
tony is 5 years younger than Marvin's age 1 year from now.
t = (m+1) - 5
t = m - 4
6 years ago tony was half as old as marvin was then.
t - 6 = 1/2(m - 6)
Get rid of the fraction, multiply both sides by 2
2(t-6) = m - 6
2t - 12 = m - 6
2t = m - 6 + 12
2t = m + 6
from the first statement, replace t with (m-4)
2(m-4) = m + 6
2m - 8 = m + 6
2m - m = 6 + 8
m = 14 is Marvin's present age
:
how old is tony now?
t = 14 - 4
t = 10 yrs is tony's age
Help needed ASAP!!!!!!!
Answer: 4 is 110 degrees and 3 and 1 is 70 degrees.
Step-by-step explanation: 4 is equal to 2 so 4 is 110 degrees 4
110 x 2 = 220 360 - 220 = 140/2 = 70 so 3 and 1 = 70 degrees
How do you shift exponential functions?
Answer:
Shift the graph of f(x)=bx f ( x ) = b x left c units if c is positive and right c units if c is negative. Shift the graph of f(x)=bx f ( x ) = b x up d units if d is positive and down d units if d is negative.
Question number seven.
Answer:
A
Step-by-step explanation:
you divided everything in blankets 3 /-3 is equal to zero
Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?
Answer:
The slope remains a constant [tex]m=\frac{5}{3}[/tex] as it is parallel.
Explanation:
1. Line Q is defined as a slope of [tex]\frac{5}{3}[/tex]; i.e. [tex]y=\frac{5}{3}[/tex]
2. Line R is defined to be parallel of Line Q.
3. Line Q is linear and has no domain restrictions.
The definition of being parallel requires the same slope.
How many faces does a right rectangular prism have if it has 8 vertices and 12 edges?
A. 4 faces
B. 6 faces
C. 8 faces
D. 10 faces
Answer:
B
Step-by-step explanation:
I think
Chris
goes to a shop to buy meat, vegetables and fruit.
(a) The costs of the meat, vegetables and fruit are in the ratio
meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Calculate the total cost of the meat, vegetables and fruit.
Answer:
meat = $2.40
vegetables = $ 2.40
fruit = $2.40 + X
= 2.40 ÷ 2
= 1.2
therefore 2.40 + 1.2
=$3.6 (For fruits )
= $3.6 + $2.40 + $2.40
= $ 8.4
Hope this helps .Plzz mark me brainliest
The total cost of the meat, vegetables and fruit is $8.4.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the costs of the meat, vegetables and fruit are in the ratio meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Let the total cost of the meat, vegetables and fruit be x.
Now, 2+2+3=7
So, 2/7 ×x=2.40
2x=2.40×7
2x=16.8
x=8.4
Therefore, the total cost of the meat, vegetables and fruit is $8.4.
To learn more about the ratio visit:
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can someone please help me with this
Answer:
45.625cm²
Step-by-step explanation:
To solve this, we need to do the area of the circle - the area of the rectangle:
Area of the circle
a = πr² (r is the radius, half the diameter)
a = π × 4²
a = π × 16
a = 16π or 50.265cm²
Area of the rectangle
a = length × width
a = 5 × 1
a = 5cm²
50.265 - 5 = 45.265
Hope this helps!
What’s 2+2 as a decimal
Answer:
4.0
Step-by-step explanation:
pls pls pls help meeee!
Answer:
x is 90 because it is a right triangle
20% of a number is 17. Find the number.
Answer:
85
Step-by-step explanation:
20% x X = 17
20/100 x X = 17
X = 17 x 100/20
= 17 x 5
= 85
the number is 85
Answer:
17 is 20% of 85
Step-by-step explanation:
20%= 1/5 so 17 = 1/5 of that number if you multiple 17 by 5 that would equal 85.
17 is 20% of 85
(a-b)^2+2c when a=13,b=6,and c=5
Answer:
59
Step-by-step explanation:
Given: a = 13, b = 6, and c = 5
(13-6)^2+2 x 5 (=10)
(13-6)^2+10
=59
Answer:
59
Step-by-step explanation:
Given,
a = 13
b = 6
c = 5
To find : ( a - b )^2 + 2c
Answer : -
( a - b )^2 + 2c
= ( 13 - 6 )^2 + 2 ( 5 )
= ( 7 )^2 + 10
= 49 + 10
= 59
Therefore,
the value of ( a - b )^2 + 2c is 59.
The diagram shows a triangle.
P-42 degrees
P-21 degrees
P-36 degrees
What is the value of p?
Answer:
The value of p is not measure through brain but through the fire
Solve UV,RS,RT Please And Thank You
Answer:
⬇️
Step-by-step explanation:
UV = 1/2 TS
UV = 1/2 42
UV = 21
RS = 2* UW
RS = 2*23
RS = 46
RT = 2 * VW
RT = 2*19
RT = 38
Perimeter of RST = RT + TS + RS
Perimeter of RST = 38 + 42 + 46
Perimeter of RST = 128
PLEASE HELP!! 20 POINTS EACH
Joe's dog ate 8 cans of dog food this week. Each can contained 58.7 grams of protein. How much protein was this in all?
Please and thank you!!
Answer:
443.2 grams
Step-by-step explanation:
Each can contains 55.4 grams of protein, and there are 8 cans, so the answer would be 55.4*8 = 443.2 grams.
A number n decreased by 8 is 19
Answer:
n-8=19
Step-by-step explanation:
6/8 of a gallon of orange juice is left. Six thirsty people want an equal amount of orange juice. How much does each person get?
Answer:
they each get 1/8 of a gallon of orange juice
Step-by-step explanation:
Please help me !!!!!!
Answer:
2
Step-by-step explanation:
-2+4=2
plssssssssssssss help it is due to 30 minutes, i mark as brainliest if answered thank you
If c-d=7 and c=3-8i what is d
a) -4+8i
b)-4-8i
c)4+8i
d)4-8i
Answer:
Step-by-step explanation:
c - d = 7
c = 3 - 8i Substitute into the top equation
3 - 8i - d = 7 Subtract 3 from both sides
- 8i - d = 7 - 3 Combine
-8i - d =4 Add 8i to both sides
-d = 4 + 8i Multiply through by -1
-1*-d = -4 - 8i
d = - 4 - 8i
Looks like B is the answer.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
First:
A. (First Option)
Second:
C. (Third option)
(Brainiest and thanks are appreciated)
Answer:
Question 3:
O (7 x 50) - (7 x 2) = 350 – 14 = 336
Question 3:
O (9 x 80) + (9 x 1) 729
Step-by-step explanation:
Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1, since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).
-kiniwih426
can someone help on number 7 and 8
show work please aswell this is due tmr!
Answer:
In the picture
Step-by-step explanation:
For #8, make sure you combine the like terms on the parantheses due to PEMDAS, then distribute and solve for the variable.
Given, OA = OV, what congruency statements can
you make? Check all that apply.
BC = ZY
BE = 2x
CB = Y Z
OZDAB = ZZVX
DE = WX
O BE =ZX
Answer: Look at Explanation
Step-by-step explanation:
Your Welcome <3
determine the intercepts of the line 4x-3y=17
Answer:
x-intercept = 17/4 and y = -17/3
Step-by-step explanation:
To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.
To
4x - 3y = 17
4(0) - 3y = 17
0 - 3y = 17
y = 17 /-3
y = -17/3 = -5 2/3 y-intercept = -5 2/3.
The ordered pair on the graph is (0, -17/3)
4x - 3(0) = 17
4x - 0 = 17
4x = 17
x = 17/4 x-intercept = 17/4
The ordered pair on the graph is (17/4, 0)
Solve for the value of c.
Step-by-step explanation:
(8c-5)°=(6c-3)°
8c°-5°=6c°-3°
8c°-6c°=-3°-5°
2c°=-8°
c°=-8/2
c°= -4
Substitute the value
{8(-4)-5}
-32-5
-37°
(6c-3)
{6(-4)-3}
-24-3
-27
find the surface area of a open box of cardboard whose dimensions are 24cm, 18cm and 14cm
Answer:
hope this helps
Step-by-step explanation:
l = 24 cm
b = 18 cm
h = 14 cm
S.A of cuboid = 2 (l+b) × h
= 2 (42) × 14
= 84 × 14
= 1,176 cm²
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
,a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.