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3 years ago

Let f(x) = -4x + 7 and g(x) = 10x - 6 find f(g(x))

2 answers:

max2010maxim [7]3 years ago

7 0

F(x) = -4x + 7
g(x) = 10x - 6

f(g(x)) = -4(10x - 6) + 7
f(g(x)) = -4(10x) + 4(6) + 7
f(g(x)) = -40x + 24 + 7
f(g(x)) = -40x + 31

Westkost [7]3 years ago

6 0

F(g(x)) = -4(10x-6) + 7
= -40x + 24 + 7
= -40x + 31

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Question 12 (2 points)

elena55 [62]

Answer:

A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.

Step-by-step explanation:

Ordering the data given :

24,28,32,34,40,44,49

We can calculate the 5 number summary required to give the appropriate boxplot that can be produced :

Minimum = 24

Maximum = 49

Median = 1/2(n+1)th term

n = 7

Median = 1/2(8) = 4th term

Median = 34

Lower quartile, Q1 = 1/4(n+1)th term

n = 7

1/4(8) = 2nd term

Q1 = 28

Upper quartile : 3/4(n+1)th term

n = 7

Q3 = 3/4(8) = 6th term

Q3= 44

3 0

3 years ago

Sloane kicked a soccer ball off the ground at a speed of 36 feet per second. the height of the ball can be represented by the fu

deff fn [24]

The total time in seconds the ball will take to travel before returning the ground is 2.25 seconds.

<h3>What is factorisation?</h3>

The breaking or breakdown of an entity (such as an integer, a matrices, or a polynomials) into a products of another unit, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring in mathematics.

Calculation for the time;

Let 't' be the time in second the ball will travel.

Let H(t) be the total height travelled by the ball.

The equation of the height is given as

$H(t)=-16 t^{2}+36 t$

As soon as the ball will return to the ground the total height will become zero.

So, put equation of height equal to zero.

$-16 t^{2}+36 t=0$

Factorise the above equation;

$-16 t\left(t-\frac{9}{4}\right)=0$

Put each value equals to zero to get the value of time.

$\begin{aligned}&t=0 \mathrm{sec} \\&t=9 / 4=2.25 \mathrm{sec}\end{aligned}$

As, time can not be zero

Therefore, the total time taken by the ball to return to the ground is 2.25 sec.

To know more about factorisation, here

brainly.com/question/25829061

#SPJ4

4 0

1 year ago

A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 421.2 squar

Oksanka [162]

The area of the base is:
A = root ((s-a) * (s-b) * (s-c) * (s))
Where,
a, b, c: sides of the triangle
s = (a + b + c) / 2
We have then:
s = (9 + 9 + 9) / 2
s = 13.5
A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
A = 35.07
Then, the surface area of the prism is:
S.A = 2 * A + 9h + 9h + 9h
Where,
h: height of the prism:
Substituting values:
421.2 = 2 * (35.07) + 9h + 9h + 9h
Clearing h:
27h = (421.2 - 2 * (35.07))
h = (421.2 - 2 * (35.07)) / (27)
h = 13
Answer:
the height of the box is:
h = 13 inches

8 0

3 years ago

The mean cost for a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.

djverab [1.8K]

Answer:

The correct answer is:

0.01$ (c)

Step-by-step explanation:

Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:

$s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\$

Variance is a measure of the squared differences from the mean.

Variance is simply the square of the standard deviation. It is mathematically shown as:

$s^2 = \frac{\sum(x - \bar x)}{n} }$

Now in our example,

Stabnard deviation = $0.10

Variance = (standard deviation)²

Variance = (0.10)²

Variance = $0.01

6 0

3 years ago

40.8-10 to the power of 2

EleoNora [17]

Answer:

-4

Step-by-step explanation:

8-10 = -2

-2^2 = -4

5 0

3 years ago

Read 2 more answers