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3 years ago

Determine the slope and y-intercept of the line. y = 8.5x + 6

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

5 0

The slope is 8.5, the y-intercept is 6, y=mx+b was the original formula and m=slope and b=y-intercept :)

Setler79 [48]3 years ago

3 0

Answer: Slope = 8.5 and y-intercept = 6

Step-by-step explanation:

The intercept form of a linear equation is given by :_

$y=mx+c$ , where m( coefficinet of x ) is the slope and c (constant term) is the y-intercept.

The given equation in intercept form : $y = 8.5x + 6$

Here , the coefficient of c = 8.5

thus , the slope = 8.5

Also, the constant term = 6

Thus, the y-intercept =6

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Which system of linear inequalities is graphed below?

andrezito [222]

Answer:

y > 2x - 1

y ≤ 0.5x + 4

Step-by-step explanation:

solid line: (0,4) (-8,0)

m: (0-4)/(-8-0) = -4/-8 = 0.5

b: 4

y = mx + b y = 0.5x + 4

dotted line: (0,-1) (-2,-5)

m = (-5 - -1)/(-2-0) = 2

b = -1

equation: y = 2x - 1

System: y ≤ 0.5x + 4

y > 2x - 1

6 0

3 years ago

Please solve question above

Lana71 [14]

Answer

(f ο g)(2)= 1/17 =0.058 and (f+g)(2)= 17.5

Step-by-step explanation:

f(x)=1/x ; f(2)=1/2

g(x)=4x+9 ; g(2)=4(2)+9

As,

1. (f ο g)(x)=f(g(x)) (Composite Function)

(f ο g)(2)=f(g(2))=f(4(2)+9)=f(8+9)=f(17)=1/17

=0.058 (in decimal)

2. (f+g)(x)= f(x)+g(x) (Sum of Functions)

(f+g)(2)=f(2)+g(2)=1/2 +(4(2)+9)=1/2+(8+9)=1/2+17 (taking L.C.M)

=[1+17(2)]/2=(1+34)/2=35/2

=17.5 (in decimal)

8 0

4 years ago

The equation y minus two-thirds = negative 2 (x minus one-fourth) is written in point-slope form. What is the equation in slope-

Lena [83]

Answer:

(B) $y=-2x+ \dfrac{7}{6}$

Step-by-step explanation:

Given the point-slope form of the equation of a line below:

$y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)$

We are required to write it in the slope-intercept form, y=mx+c.

$y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)\\\\y-\dfrac{2}{3}=-2x+ \dfrac{2}{4}\\\\y=-2x+ \dfrac{2}{4}+\dfrac{2}{3}\\\\y=-2x+ \dfrac{7}{6}$

The slope intercept form is:

$y=-2x+ \dfrac{7}{6}$

<u>The correct option is B.</u>

5 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!<br> (do not answer if you do not know, so the points go to people who do know.)

zheka24 [161]

Answer:

1a = 8 cu. in.

1b = 48 cu. yd.

1c = 15 cu. ft.

2a. 36 cu. yd.

2b = 126 cu. ft.

2c = 90 cu. ft.

3a = 112 cu. in.

3b = 60 cu. yd.

3c = 189 cu. ft.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

how much would 500 invested at 4% interest compounded continuously be worth after 7 years? round your answer to the nearest cent

vladimir1956 [14]

Answer: the answer is 661.55

Step-by-step explanation:

interest formula: F = Pe^(rt)

4 0

2 years ago