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3 years ago

I need quick! 20 points!

1 answer:

7 0

Given is h(x) = 4x − 5 and t(x) = 2x + 4.

Part A: Finding (h + t)(x)
$(h + t)(x) = (4x - 5) + (2x + 4) \\ (h + t)(x) = 4x - 5 + 2x + 4 \\ (h + t)(x) = 4x + 2x - 5 + 4 \\ (h + t)(x) = 6x - 1$

Part B: Finding (h ⋅ t)(x)
$(h ⋅ t)(x) = (4x - 5)(2x + 4) \\ (h ⋅ t)(x) = 4x(2x + 4) - 5(2x + 4) \\ (h ⋅ t)(x) = 8 {x}^{2} + 16x - 10x - 20 \\ (h ⋅ t)(x) = 8 {x}^{2} + 6x - 20$
Part C: Finding h[t(x)]
$h[t(x)] = 4 \times t(x) - 5 \\ h[t(x)] = 4(2x + 4) - 5 \\ h[t(x)] = 8x + 16 - 5 \\ h[t(x)] = 8x + 11$

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The United States of House of Representatives has 35 members more than four times the number of members in the United States Sen

Zanzabum

Answer:

House of representatives=h

United states senate= u

h=4u+35

If u=100:

h=4(100)+35

h=400+35

h=435

Hope this helps :}

7 0

2 years ago

If you were to graph the linear equation 4x+6y=−12 on the semester test, you would need to determine the x- and y-intercepts, pl

goblinko [34]

The x intercept is -3, and the y intercept is -2

Step-by-step explanation:

The equation given is 4x+6y= -12

Rewrite the equation in slope intercept form of y=mx +c where c is the y intercept

y=mx+c

6y=-4x-12

y= -4/6 x -12/6

y=-2/3x -2

c= -2

To get x intercept replace value of y in the equation with 0;

y= -2/3 x -2

0= -2/3 x -2

2= -2/3 x

2*3=-2x

6=-2x

6/-2 =x

-3 =x

x intercept is -3

Learn More

Linear equations : brainly.com/question/9994201

Keywords : graph, linear equation, intercepts, plot

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through the following points

Lilit [14]

A and B: m = 3/4

C and D: m = 1/2

E and F: m = 1/6

5 0

3 years ago

What is 34,569,072 rounded to the nearest million

strojnjashka [21]

For this, look at the 6th digit (hundred-thousands). If that digit is more than or equal to 5, then the next digit is rounded up. Since it is, the answer becomes 35,000,000.
Answer: 35,000,000

4 0

3 years ago

Read 2 more answers

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$