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grandymaker [24]
3 years ago
5

PLEASE HELP!! #8 k(x)=4x-2 on [3, 3+h]

Mathematics
1 answer:
zlopas [31]3 years ago
4 0
X=h/4+5/4 is the correct answer
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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)
guajiro [1.7K]

Answer:

Part 1) y=-\frac{1}{5}x-1

Part 2) y=3x-16

Part 3) y=4

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{-2+3}{5-10}

m=\frac{1}{-5}

m=-\frac{1}{5}

<em>Find the value of b</em>

we have

m=-\frac{1}{5}

point (10,-3)

substitute in the equation y=mx+b  and solve for b

-3=-\frac{1}{5}(10)+b

-3=-2+b

b=-3+2=-1

substitute

y=-\frac{1}{5}x-1

Part 2) we have

(6,2) (7,5)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{5-2}{7-6}

m=\frac{3}{1}

m=3

<em>Find the value of b</em>

we have

m=3

point (6,2)

substitute in the equation y=mx+b  and solve for b

2=3(6)+b

2=18+b

b=2-18=-16

substitute

y=3x-16

Part 3) we have

(4,4) (-7,4)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{4-4}{-7-4}

m=\frac{0}{-11}

m=0

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

<em>therefore</em>

The equation of the line is

y=4

6 0
3 years ago
Billy is making an ice-cream sundae.
puteri [66]

Answer:2

Step-by-step explanation:

6 0
3 years ago
Which statement is true ?
8090 [49]

Answer:

f(x)=4x^2

f(2)=4(2)^2

f(2)=4(4)

f(2)=16

2. g(x)=4*2^x

g(2)=4*2^2

g(2)=4*4

g(2)=16

f(2)=g(2)

Both is equal to 16

I hope this help you :)

Step-by-step explanation:

8 0
3 years ago
Please help me understand
puteri [66]

9514 1404 393

Answer:

  D.  86°

Step-by-step explanation:

Points D and F divide the circle into two arcs. The long arc is labeled 274°, and the short arc is the one you're asked to find. You know the total of these two arcs is the full circle, 360°.

  274° + DF = 360°

  DF = 360° -274°

  DF = 86°

__

There are other relationships you can use to find arc DF. One of the simpler ones is ...

  DF and the external angle at E are supplementary:

  DF = 180° -94° = 86°

5 0
3 years ago
Simplify this expression: 4(x+3)+3(5-x)
prisoha [69]

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

8 0
2 years ago
Read 2 more answers
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