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3 years ago

13

What is the inverse of h?

1 answer:

Paha777 [63]3 years ago

4 0

H(x) = 6x + 1

turn h(x) into y

y = 6x + 1

switch the x and the y

x = 6y + 1

solve for y

6y = x - 1
y = 1/6x - 1/6
y = 1/6(x - 1)

now stick the inverse notation in for y....h -1(x)

h-1(x) = 1/6(x - 1).....I think I did that right

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A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from po

Ronch [10]

<em>Directed numbers</em> are numbers that have either a <u>positive</u> or <u>negative </u>sign, which can be shown on a <em>number line</em>. Therefore, point F is Fifteen-halves of line <em>segment</em> DE.

A <u>number line</u> is a system that can show the positions of <em>positive</em> or <em>negative</em> numbers. It has its <em>ends</em> ranging from <em>negative infinity</em> to <em>positive infinity</em>. Thus any <em>directed</em> number can be located on the line.

Directed numbers are numbers with either a <u>negative</u> or <u>positive </u>sign, which shows their direction with respect to the <em>number line.</em>

In the given question, the <u>distance</u> between points D and E is <em>9 units</em>. So that <em>dividing</em> 9 units in the ratio of 5 to 6, we have;

$\frac{5}{6}$ x 9 = $\frac{45}{6}$

= $\frac{15}{2}$

Therefore, the <em>location</em> of point F, which <u>partitions</u> the directed line segment from d to E into a 5:6 ratio is $\frac{15}{2}$ . Thus the<em> answer</em> is <u>Fifteen-halves.</u>

For further clarifications on a number line, visit: brainly.com/question/23379455

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2 years ago

What is the explicit formula for this sequence -7, -4, -1, 2, 5

Nataliya [291]

Answer:

$\large\boxed{a_n=3n-10}$

Step-by-step explanation:

It's an arithmetic sequence.

$-4-(-7)=-4+7=3\\-1-(-4)=-1+4=3\\2-(-1)=2+1=3\\5-2=3$

The difference is constant.

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

Substitute:

$a_1=-7,\ d=3$

$a_n=-7+(n-1)(3)$ <em>use distributive property</em>

$a_n=-7+3n-3\\\\a_n=3n+(-7-3)\\\\a_n=3n-10$

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3 years ago

Write an equation of the line that passes through the points (2,−1) and (0,1).

Alina [70]

0,1 is the y-intercept

5 0

3 years ago

Read 2 more answers

48:PLEASE HELP Find the x-intercept of -x+2y=22

ella [17]

Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

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3 years ago

A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How

Novay_Z [31]

Answer:

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is $V=\frac{4}{3}\pi r^3$

Differentiate the above formula with respect to time.

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Substitute the respective values in the above formula,

$3=4\pi 6^2\frac{dr}{dt}$

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The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

When d=16

$3=4\pi 8^2\frac{dr}{dt}$

$\frac{3}{256\pi}=\frac{dr}{dt}$

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0

3 years ago