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3 years ago

7

I need help with number 6

1 answer:

antiseptic1488 [7]3 years ago

8 0

A. 63.23
That is the answer because you would add all the times together (57.38+60.92+58.47=176.77) then subtract that from 4 minutes (240 seconds) (240-176.77=63.23)

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If f(x) = x + 6, g(x) = 3x and h(x) = 10/x , find the value of f^-1(g(h(5))).

NNADVOKAT [17]

Start from inside to the out side of the function;
h(5)=10/5=2
g(h)=g(2)=3*2=6
now, get the f inverse of x;
f(x)=y=x+6
x=y-6
replace x with y and y with x
y=x-6
so f^-1= x-6
so f^-1(g)=f^-1(6)=6-6=0
I am not sure only of the last value, but pretty sure of the rest.

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3 years ago

What is the length of AA' ?

hram777 [196]

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4 years ago

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3 years ago

Plz help i need answer ASAP

Reika [66]

Answer:

y = 2x + 2

Step-by-step explanation:

<h3><u>Reading</u><u> </u><u>the</u><u> </u><u>graph</u><u>!</u></h3>

The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Intercepts</u><u>:</u></h3>

<em>When a line </em><em>meets</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>axes</em><em> </em><em>(</em><em>x-axis</em><em> </em><em>and</em><em> </em><em>y-axis</em><em>)</em><em>,</em><em> </em><em>it</em><em> </em><em>forms</em><em> </em>intercepts.

There are two types of intercepts:

x-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>x-axis</em><em>)</em>
y-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>y-axis</em><em>)</em>

Each of their length is equal to their distance from the Origin(0, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Equation of a line (intercept form):</u></h3>

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

$\boxed{ \mathsf{ \frac{x}{a} + \frac{y}{b} = 1 }}$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>in</u><u> </u><u>question</u><u>:</u></h3>

x-intercept (a) = -1
y-intercept (b) = 2

$\implies \mathsf{ \frac{x}{( - 1)} + \frac{y}{2} = 1 }$

<em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>is</em><em> </em><em>taken</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>numerator</em><em>:</em>

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

<em>Taking</em><em> </em><em>LCM</em><em>:</em>

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

<em>Cross</em><em> </em><em>multiplying</em><em>:</em>

$\implies \mathsf{ - 2x + y = 2 }$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<em>Isolating</em><em> </em><em>y</em><em>:</em>

<em> $\implies \mathsf{ \underline{ y = 2 + 2x }}$ </em>

That's the equation of the given line!

6 0

3 years ago

-8m - 12 > -5(m - 8) – 3(m - 7)<br> Write the solution to the inequality

horrorfan [7]

Answer:

No answer.

Step-by-step explanation:

- 8m - 12 > -5m + 40 - 3m + 21

combine terms

-8m - 12 > -8m +61

add 8m to both sides

-12 > 61

negative 12 is not greater than 61

4 0

3 years ago