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lapo4ka [179]
3 years ago
14

Write the equation of a linear function for which f=(-4)=0 and f=(0)=-2

Mathematics
1 answer:
densk [106]3 years ago
6 0

Answer:

y = -0.5x - 2

Step-by-step explanation:

equation: f(x) = mx + b

f(-4) : -4m + b = 0  ...(1)

f(0):   0m + b = -2            b = -2   ... plug in (1)

-4m - 2 = 0

m = - 1/2 = - 0.5

linear equation: y = -0.5x - 2

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9 + 22 = x + 1<br><br> HALPP
rosijanka [135]

Hey!

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Solution:

9 + 22 = x + 1

9 + 22 - x = x + 1 - x

31 - x = 1

31 - x  31 = 31 - 1

x = 30

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Answer:

x = 30

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Hope This Helped! Good Luck!

4 0
3 years ago
Read 2 more answers
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
3 years ago
Find the meaure of the central angle the sector area is 169.56 and the radius is 9
BaLLatris [955]
Since the area of a circle is πr^{2}, and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so: c = 360(.6663) ≈ 240°

240 degrees
4 0
3 years ago
As part of a science experiment, Giovanni measured the distance a caterpillar traveled over different time intervals. In the fir
777dan777 [17]

Step-by-step explanation:

its b

8 0
4 years ago
Can someone please explain to me how to find the answer 7+ 4x + 5x
EleoNora [17]
Since you have two numbers that have a (x) at the ends of them, you add those first then add seven which will end up being 9x+7
5 0
3 years ago
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