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2 years ago

73, 81, 89, 75, 89, 86, 84, 78, 91, 78. What is the MAD

Mathematics

1 answer:

ruslelena [56]2 years ago

8 0

89 would be the correct answer

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11. Which statement is true about the characteristics of the three lines in

Vikki [24]

They have the same slope. All three lines are parallel. Any parallel lines have equal slopes.

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3 years ago

Find the inverse of the following function

KatRina [158]

f-¹(x)= $\frac{2-7x}{x+2}$

Answer:

Solution given:

f(x)= $\frac{-2x+2}{x+7}$

Let f(x)=y

y= $\frac{-2x+2}{x+7}$

Interchanging role of x and y

x= $\frac{-2y+2}{y+7}$

doing crisscrossed multiplication

x(y+7)=-2y+2

now solve it:

xy+7x=-2y+2

keep like terms in one side

xy+2y=2-7x

take common

y(x+2)=2-7x

make a value of y

y= $\frac{2-7x}{x+2}$

So,

f-¹(x)= $\frac{2-7x}{x+2}$

3 0

2 years ago

Read 2 more answers

Explain how to find the vertex of 2x^2+12x+16

Elina [12.6K]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

Use $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2$

<h3>Answer: (-3, -2).</h3>

Other method:

$f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)$

We have

$f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2$

<h3>Answer: (-3, -2).</h3>

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3 years ago

What can be measured by meters

shusha [124]

Meters are used to measure everything between the length of a ruler and the distance between things in a room. Most household objects such as tables, rooms, window frames, television screens, etc. would be measured in meters. Kilometers are used to measure long distances.

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3 years ago

How do you solve this

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7 divided by 1 is 7 so you would do long division

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3 years ago