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3 years ago

5

How do i find the inverse function of h(x) =(5-2x^2)/(3x+10)

1 answer:

sergeinik [125]3 years ago

5 0

Inverse function: you need to exchange the position of x and y, in other words,

x = (5-2y^2)/(3y+10) , then, if you need a representation of y with respect to x, then you need to perform some math.

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Paha777 [63]

33,155.22 is the correct answer for this

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3 years ago

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krek1111 [17]

Answer:

Part a) The radii are segments AC and AD and the tangents are the segments CE and DE

Part b) $DE=4\sqrt{10}\ cm$

Step-by-step explanation:

Part a)

we know that

A <u>radius</u> is a line from any point on the circumference to the center of the circle

A <u>tangent</u> to a circle is a straight line which touches the circle at only one point. The tangent to a circle is perpendicular to the radius at the point of tangency.

In this problem

The radii are the segments AC and AD

The tangents are the segments CE and DE

Part b)

we know that

radius AC is perpendicular to the tangent CE

radius AD is perpendicular to the tangent DE

CE=DE

Triangle ACE is congruent with triangle ADE

Applying the Pythagoras Theorem

$AE^{2}=AC^{2}+CE^{2}$

substitute the values and solve for CE

$14^{2}=6^{2}+CE^{2}$

$CE^{2}=14^{2}-6^{2}$

$CE^{2}=160$

$CE=\sqrt{160}\ cm$

$CE=4\sqrt{10}\ cm$

remember that

CE=DE

so

$DE=4\sqrt{10}\ cm$

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3 years ago

In an orchard, there are 16 apple trees, 22 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees? O

AlladinOne [14]

Answer:

C. 16 : 22

Step-by-step explanation:

Given:

Apple trees = 16
Orange trees = 22
Cherry trees = 1

Ratio of apples trees to orange trees:

⇒ apple : orange

⇒ 16 : 22

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2 years ago

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: To receive gym credit without taking a gym class. J.T. must complete 75 hours of exercise throughout the semester. J.T. has al

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Answer:

H >= 6.25

6.5 hours per week

Step-by-step explanation:

75-50=25

JT must complete 25 more hours of exercise in 4 weeks. 25/4=6.25. So JT has to exercise 6.5 hours each week.

>= (means greater than or equal to)

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Sandra needs to obtain a random sample of 20 students from her school, in order to do a project for her statistics class. Which

ser-zykov [4K]

Answer: D) At the next school assembly, choose one student from each of 20 randomly selected rows.

Step-by-step explanation:

A wouldnt be correct because it is all students from the spots program

B isnt correct because it is 10 girls and 10 boys from the girls' and boys' soccer teams

C wouldnt be correct because it would be the first 20 students she sees once she leaves statistics class

D is the only unbiased, completely random selection choice.

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