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Illusion [34]
3 years ago
10

Find the slope and the y-intercept of the line with equation 9x + 10y = 91.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

y=mx+b

M is also slope. b= y-intercept

9x + 10y = 91

move 9x to the other side

sign changes from +9x to- 9x

9x-9x+10y=-9x+91

10y=-9x+91

Divide both sides by 10 to get y by itself

10y/10=-9/10x+91/10

y=-9/10x+91/10

y-intercept (x=0)

9x + 10y = 91

9(0)+10y=91

0+10y=91

10y=91

Divide both sides by 10

10y/10=91/10

y=91/10

Answer:

slope (m)=-9/10

y-intercept :(0, 91/10)

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2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.
Elza [17]

First, simplify the expression 2r^2 + 3s^3 - r^2 + 4t^2 - r^2. Here you have three terms with r^2, group them in the following way:

2r^2 + 3s^3 - r^2 + 4t^2 - r^2=2r^2-r^2-r^2+3s^3+4t^2=(2r^2-r^2-r^2)+3s^3+4t^2=

=r^2(2-1-1)+3s^3+4t^2=3s^3+4t^2.

Then substitute s=-3 and t=5:

3s^3+4t^2=3\cdot (-3)^3+4\cdot 5^2=3\cdot (-27)+4\cdot 25=-81+100=19.

Answer: 19.

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3 years ago
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Please help Urgent giving brainlist!
notsponge [240]

Answer:

f=-\frac{5}{3}

Step-by-step explanation:

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f=-\frac{5}{3}

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3 years ago
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Consider the function f(x) = |x|. Let g(x) = |–4(x – 7)|.
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Answer:

B

Step-by-step explanation:

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3 years ago
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zlopas [31]
The answer would be C. 5(5) + 2(2) = 29
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3 years ago
I need help to this question:Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $1
Iteru [2.4K]

Answer:

The total cost charged by the two companies will be the same for 10 square yards of carpeting .

Step-by-step explanation:

Let us assume that the number of square yards for carpeting  used be x.

Let us assume that the total cost of the  charged by the companies be y.

As given

Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100.

Than the equation becomes

y = 22x + 100

As given

City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.

Than the equation becomes

y = 25x + 70

Than the two equations are

y = 22x + 100 and y = 25x + 70

Than compare the two equations are

22x + 100 = 25x + 70  

25x - 22x = 100 - 70

3x = 30

x = \frac{30}{3}

x = 10 square yards .

Therefore the total cost charged by the two companies will be the same for 10 square yards of carpeting .


3 0
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