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3 years ago

Mike scored 10 points less than twice the

Mathematics

1 answer:

vladimir1956 [14]3 years ago

5 0

Mike = the lowest score possible - 10
Mike = 96
96 + 10 =106.
The answer should be 106.

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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)

Find the slope

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

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

substitute

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

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

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)

Find the slope

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

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

substitute

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

$m=\frac{3}{1}$

$m=3$

Find the value of b

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)

Find the slope

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

therefore

The equation of the line is

$y=4$

6 0

3 years ago

Solution -9-8(1+4h)= -17

geniusboy [140]

Step 1. Add 9 to both sides

 $-8(1+4h)=-17+9$

Step 2. Simplify $-17+9$ to $-8$

$-8(1+4h)=-8$

Step 3. Divide both sides by $-8$

$1+4h=1$

Step 4. Cancel 1 on both sides

$4h=0$
Step 5. Divide both sides by 4

$h=0$

Done! :) Hope this helps! :)

To check $-9-8(1+4h)=-17$ follow these steps below:

Step 1. Let h = 0

$-9-8*(1+4*0)=-17$

Step 2. Simplify 4 * 0 to 0

$-9-8*(1+0)=-17$

Step 3. Simplify 1 + 0 to 1

$-9-8*1=-17$

Step 4. Simplify 8 * 1 to 8

$-9-8=-17$

Step 5. Simplify -9 -8 to -17

 $-17=-17$

Done! :)

5 0

3 years ago

Read 2 more answers

Kahn academy question:

Rufina [12.5K]

Answer:

2.97×10³

Step-by-step explanation:

3600 - 6.3×10² = 3600 -6.3×100 = 3600 -630 = 2970

= 2.97×1000

= 2.97×10³

_____

Your calculator can accept and display numbers in scientific notation.

8 0

3 years ago

A total of 2 yards of frabric is used to make 5 identical pillows. How much fabric is used for each pillow?

S_A_V [24]

2 divided by 5 is .4

6 0

3 years ago

Read 2 more answers

The sum of two numbers is 14 and sum of their squares is 100.Find the numbers

Misha Larkins [42]

Answer:

8 and 6

Step-by-step explanation:

8*8=64

6*6=36

36+64=100

6 0

3 years ago