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3 years ago

8-2x=-4x+4 answer help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

rodikova [14]3 years ago

7 0

Answer:

Step-by-step explanation

subtract 8 from both sides

8-2x-8=-4x+4-8

simplify

-2x=-4x-4

add 4x to both sides

-2x+4x=-4x-4+4x

Simplify

2x=-4

divide both sides by 2

2x/2=4/2

simplify

x=-2

Leviafan [203]3 years ago

7 0

You would do substitution.

8-2x=-4x+4

-2x -2x

__________

8=-6x+4

-4 -4

________

4=-6x Then divide both sides by -6 that will give you your x value

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I -72 –54 -36 y 25 13 1 What is the y-intercept of the line?

Allisa [31]

Answer:

-23

Step-by-step explanation:

As I increases by 18, y decreases by 12. From the last value in the table, I needs to increase by 2·18 for it to become zero. Hence the y-intercept will be 2·12 less than the last value in the table:

1 - 2·12 = -23 . . . the y-intercept

6 0

3 years ago

Answer this question!

aksik [14]

Answer:

I would tell you

Step-by-step explanation:

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8 0

2 years ago

You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod

lorasvet [3.4K]

Answer:

a. $y=830*(0.87)^x$

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

$13\%=\frac{13}{100}=0.13$

Upon substituting our given values in exponential decay function we will get

$y=830*(1-0.13)^x$

$y=830*(0.87)^x$

Therefore, the exponential model $y=830*(0.87)^x$ represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

$y=830*(0.87)^2$

$y=830*0.7569$

$y=628.227\approx 628.23$

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be $\frac{830}{2}=415$ .

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

$415=830*(0.87)^x$

Upon dividing both sides of our equation by 830 we will get,

$\frac{415}{830}=\frac{830*(0.87)^x}{830}$

$0.5=0.87^x$

Let us take natural log of both sides of our equation.

$ln(0.5)=ln(0.87^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.5)=x*ln(0.87)$

$\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}$

$\frac{ln(0.5)}{ln(0.87)}=x$

$\frac{-0.6931471805599}{-0.139262067}=x$

$x=4.977286\approx 4.98$

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

5 0

3 years ago

Find the perimeter of the following shapes.

DerKrebs [107]

Answer:

4. (a) = 12 m

(b) = 27 cm

(d) = 18 km

(e) = 10 m

(f) = 36 cm

Step-by-step explanation:

Perimeter is sum the distance round a figure.

if a shape has those, they signify that the shape has two side that are equal

a) 4 + 4 + 2 + 2 = 12. The top part is equal to the bottom part signified by those two lines. And the left is equal to the right .

b) 10 + 10 + 7 = 27

c) 5 + 5 + 8 + 6 = 24

d) 3 + 3 + 6 + 6 = 18

e) 2.5 + 2.5 + 2.5 + 2.5 = 10

f) 12 + 7 + 7 + 5 + 5 = 36

If you need any clarification or more explanation pls do mention in the comment section. i would like to help more.

Hope this helps and if it does pls mark as branliest answer thx.

6 0

3 years ago

Simplify ‐19 ‐ 7( ‐17z + 13) 4n ‐ 3( ‐9n + 13)

nataly862011 [7]

Answer:

for the first one it's 119z−110

the second one is 31n−39

i'm not sure if you wanted both together

so here just incase

31n+119z−149

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers