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Gwar [14]
4 years ago
12

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-

intercept of -2.
Find the slope of both lines. In the answer box give the slope of the steeper line.

Mathematics
1 answer:
Lesechka [4]4 years ago
3 0

Answer:

The linear equation in the slope-intercept form will be:

y\:=\:\frac{2}{3}x+64

Step-by-step explanation:

From the line graph, taking two points

  • (21, 78)
  • (27, 82)

Finding the slope between (21, 78) and (27, 82)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(21,\:78\right),\:\left(x_2,\:y_2\right)=\left(27,\:82\right)

m=\frac{82-78}{27-21}

m=\frac{2}{3}

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (21, 78) and m = 2/3 in the slope-intercept of the line

y = mx+b

78=\frac{2}{3}\left(21\right)+b

switch sides

\frac{2}{3}\left(21\right)+b=78

14+b=78

b=64

substituting b = 64 and m = 2/3 in the slope-intercept of the line

y = mx+b

y\:=\:\frac{2}{3}x+64

Therefore, the linear equation in the slope-intercept form will be:

y\:=\:\frac{2}{3}x+64

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Answer:

r = \frac{k}{pt}

Step-by-step explanation:

I think that you mean

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\frac{k}{pr} = \frac{prt}{pr}  On the right sides the pr's on the top and bottom cancel each other out and you are left with

r = \frac{k}{pr}

6 0
2 years ago
Simplifique la expresión hallando<br>(o, 5 + .6 - 0,05 ) x 10<br>3. 1 - 2,06​
steposvetlana [31]

Answer: 1.05 • 103.1 - 2.06

Step-by-step explanation:

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6 0
4 years ago
Simplify polynomial
Kay [80]

Answer:

j² - 5j²k - 2

Step-by-step explanation:

3j² - j²k - 6 - 4j²k - 2j² + 4

To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.

We have three groups of like terms:

The j-squares (j²), the j-squared k (j²k) and the constants (no variable).

Remember to include the negatives!

The j-squares are: 3j² ; -2j²

The j-squares k are: - j²k ; - 4j²k

The constants are: - 6 ; 4

Simplify:

3j² - j²k - 6 - 4j²k - 2j² + 4

Rearrange the polynomial by like terms

= (- j²k - 4j²k) +  (3j² - 2j²) + (- 6 + 4)

Add or subtract the like terms

= (-5j²k) + (j²) + (-2)

Remove brackets and rearrange so the negative is not first

= j² + - 5j²k + - 2

Simplify where two signs are together. Adding a negative is subtraction.

= j² - 5j²k - 2                  Simplified

8 0
4 years ago
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Mariana [72]
60 - 18 = 42 

The answer is 42 yards of fabric. :)
3 0
4 years ago
The sum of two numbers is 56. the sum of the smaller and 5 times the larger is 192. find the numbers.
Kamila [148]

Let the numbers = x,y

x+y = 56      1st eqn

x+5y = 192   2nd eqn

56-y+5y = 192

4y = 136

y = 34

substitute that in 1st eqn, x = 56-34 = 22

So, smaller number = 22 & Larger number = 34



3 0
3 years ago
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