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pantera1 [17]
2 years ago
7

-3 \cdot f(-8) + 7 \cdot g(2) =−3⋅f(−8)+7⋅g(2)=minus, 3, dot, f, left parenthesis, minus, 8, right parenthesis, plus, 7, dot, g,

left parenthesis, 2, right parenthesis, equals

Mathematics
1 answer:
dsp732 years ago
3 0

Answer:

-22

Step-by-step explanation:

The graph from which the information is to be read is attached below.

We want to find the value of −3⋅f(−8)+7⋅g(2).

From the graph:

  • f(-8)=-2
  • g(2)=-4

Therefore:

−3⋅f(−8)+7⋅g(2)=−3(-2)+7(-4)

=6-28

=-22

−3⋅f(−8)+7⋅g(2)=-22

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In ΔXYZ, x = 71 cm, y = 91 cm and z=71 cm. Find the area of ΔXYZ to the nearest square centimeter.
anyanavicka [17]

since its an isoscelies trangle, they probably wanted you to do base times height

make a 71-91/2-x x triangle

where x is the height of the triangle to the base 91 and 71 is the hypothenuse

and then do bh/2

or

use heron's formula

s= 71+91/2

area= \sqrt{(71+91/2)(71+91/2-71)(71+91/2-71)(71+91/2-91)}

have fun solving that

5 0
2 years ago
In a class of students, the following data table summarizes how many students have a cat or dog. What is the probability that a
nadezda [96]

Answer:

from this we know there is 30 people in the class and 14 of them have a cat so the probability is 14/30

14/30

7/15

7/15 as a percent is 46.6667%

7 0
2 years ago
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the
klio [65]

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

  • If the price of an item is discounted, that mean its new price will be less its initial price
  • The taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y (\frac{88}{100})

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = \frac{106}{100} × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

4 0
2 years ago
What are the coordinates of the image of vertex R -3,4 after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)
Feliz [49]
The coordinate of the image after being reflected is R(3,4).

When dealing with reflection of a line or shape or a figure in the coordinate plane, especially if it is reflected across the y- axis, you just have to give the opposite of the given (original) x- coordinate in order to give a symmetric figure.
7 0
2 years ago
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An airplane's fuel tank is being filled with fuel at the rate of 150 gallons per minute. Which graph best represents y, the numb
beks73 [17]

Answer:

D

Step-by-step explanation:

Because 150 times 4 = 600.

3 0
2 years ago
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