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2 years ago

Simplify (8m² + 3m - 5) + (m² - 7m - 1)

Mathematics

1 answer:

Rus_ich [418]2 years ago

8 0

Answer:

9m^2 - 4m - 6

Step-by-step explanation: hope this helps!

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

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

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

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

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

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

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

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Question 4 please help me and show working out

zimovet [89]

B 12:3 = 4-1=3 C 10- 7=3 And A 2+15x=x=15-2=13

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2 years ago

P+q=1 and pq=-20. What are the values of p and q?

andrey2020 [161]

Answer:

Step-by-step explanation:

5, -4

5-4=1

5(-4)=-20

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2 years ago

What Is a median ,mode,range and IQR ?

Katarina [22]

Median: is the number in the middle when the set data set is in order
mode: it the number that occurs the most in the set
range:difference between the smallest and largest number
IQR: interquartile range is a measure of a data set separated into quartiles

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2 years ago

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How do you tell if a table is linear

Phantasy [73]

Answer:

If x, y increase at a constant rate, it is linear.

Step-by-step explanation:

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2 years ago