4. If f(x) = x2, g(x) = 5x, and h(x) = x +4, find each value.
Find h[f(4)].

You get vertical asymptotes because the x-value causes you to try to divide by 0.  

If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.  

    You find these by solving  3x(x-1)(x+5)=0.

That's your answer: 0, 1, and -5

Answer:

any negative number less than -8

x<-8

Step-by-step explanation:

|x|>8

we know x<0

so

-x>8

x<-8

Answer:

C x<4

Step-by-step explanation:

get x by itself

-x>3-7

-x>-4

dividing by a negative number with inequalities means you have to flip the sign

x<4

Using quadratic function concepts, it is found that the discriminant is zero, hence option A is correct.

A standard quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The relation between the discriminant and the number of zeros(roots) is:

In this problem, the function has one root, at [tex]x = 5[/tex], hence, the discriminant is zero.

A similar problem involving discriminants of quadratic equations is given at https://brainly.com/question/19776811

Answer:

b=3

Step-by-step explanation:

(5b-9)_3(8-2b)=o: reorder the terms-9+5b+-3(8+-2b)=0; remove bracket (-9+5b)

Answer:

25

Step-by-step explanation:

a) Starting with

(¬r ∧ p ∧ q) ∨ (¬r ∧ ¬p ∧ q)

distribute the disjunction (∨) :

((¬r ∧ p ∧ q) ∨ ¬r) ∧ ((¬r ∧ p ∧ q) ∨ ¬p) ∧ ((¬r ∧ p ∧ q) ∨ q)

and once more among the grouped statements:

(¬r ∧ p ∧ q) ∨ ¬r ≡ (¬r ∨ ¬r) ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)

(¬r ∧ p ∧ q) ∨ ¬p ≡ (¬r ∨ ¬p) ∧ (p ∨ ¬p) ∧ (q ∨ ¬p)

(¬r ∧ p ∧ q) ∨ ¬p ≡ (¬r ∨ q) ∧ (p ∨ q) ∧ (q ∨ q)

So, the original statement is equivalent to

[(¬r ∨ ¬r) ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)] ∧ [(¬r ∨ ¬p) ∧ (p ∨ ¬p) ∧ (q ∨ ¬p)] ∧ [(¬r ∨ q) ∧ (p ∨ q) ∧ (q ∨ q)]

which reduces to

[¬r ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)] ∧ [(¬r ∨ ¬p) ∧ (q ∨ ¬p)] ∧ [(¬r ∨ q) ∧ (p ∨ q) ∧ q]

and further to

¬r ∧ (p ∨ ¬r) ∧ (¬r ∨ ¬p) ∧ (q ∨ ¬p) ∧ (p ∨ q) ∧ q

For any statements X and Y, we have the identity

• X ≡ (X ∨ Y) ∧ (X ∨ ¬Y)

so another step of simplification reduces the underlined expressions to

¬r ∧ ¬r ∧ q ∧ q

which leaves us with

¬r ∧ q

###

b) Recall the identity,

p ⇒ q ≡ ¬p ∨ q

Then

(p ⇒ q) ⇒ q ≡ (¬p ∨ q) ⇒ q ≡ ¬(¬p ∨ q) ∨ q

Distributing the negation gives

(p ⇒ q) ⇒ q ≡ (p ∧ ¬q) ∨ q

and distributing the disjunction gives

(p ⇒ q) ⇒ q ≡ (p ∨ q) ∧ (¬q ∨ q)

from which it follows that

(p ⇒ q) ⇒ q ≡ p ∨ q

Answer:

15

Step-by-step explanation:

According to the information given, using the z-distribution, it is found that a sample of 1066 is needed.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions, according to the z-distribution.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, the estimate is of 52%, hence [tex]\pi = 0.52[/tex].

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The minimum sample size is n for which M = 0.03, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.52(0.48)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.52(0.48)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.52(0.48)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.52(0.48)}}{0.03})^2[/tex]

[tex]n = 1065.4[/tex]

Rounding up, a sample of 1066 is needed.

A similar problem is given at https://brainly.com/question/14515126

The total area of the three-petal motif is [tex]93937cm^2[/tex]

The three petal motif has the structure shown in the accompanying image. the dark gray area is the equilateral triangle. The light gray areas are the major segments of each of the circles.

The area of the three-petal motif, then, is the sum of the area of the equilateral triangle and the three major segments (all of which have the same area)

From the second image

Area of equilateral triangle = [tex]16129cm^2[/tex]

Area of each major segment = [tex]25936cm^2[/tex]

Therefore,

Area of three-petal motif = [tex]16129cm^2+3(25936cm^2)=93937cm^2[/tex]

Check the link for another solved problem on areas of composite shapes:

https://brainly.com/question/11952845

Answer:

[tex]\boxed{\boxed{\sf x=4}}[/tex]

Step-by-step explanation:

[tex]\sf 5 = 2x -3[/tex]

1) Switch Sides:

[tex]\longmapsto\sf 2x-3=5[/tex]

2) Add 3 to both sides:

[tex]\longmapsto\sf 2x-3+3=5+3[/tex]

[tex]\longmapsto\sf 2x=8[/tex]

3) Divide both sides by 2:

[tex]\longmapsto\sf \cfrac{2x}{2}=\cfrac{8}{2}[/tex]

[tex]\longmapsto\sf x=4[/tex]

_____________________________

By a change of units, we will get that 108 mi/h = 158.4 ft/s

Here we want to transform 108 mi/h to feet per second.

Then we will use two relations:

Then we can just transform as:

108mi/h = (108*5,280 ft)/h = 570,240 ft/h

570,240 ft/h = 570,240 ft/(3,600 s) = 158.4 ft/s

So we have:

108 mi/h = 158.4 ft/s

If you want to learn more, you can read:

https://brainly.com/question/2566034

Answer:

$310

Step-by-step explanation:

62,000 * 0.005 = 310

Answer:

3.7x+2.5y .

Step-by-step explanation:

i did the quiz.

The sum of two given algebraic expressions is  3.7x+2.5y. Therefore, option A is the correct answer.

Given that, (2.3x−1.2y)+(1.4x+3.7y).

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

Now, (2.3x−1.2y)+(1.4x+3.7y)

= 2.3x+1.4x-1.2y+3.7y

= 3.7x+2.5y

The sum of two given algebraic expressions is  3.7x+2.5y. Therefore, option A is the correct answer.

Learn more about the addition of algebraic expressions here:

https://brainly.com/question/21443100.

#SPJ2

Answer:

25

Step-by-step explanation:

To model the situation, we can write an equation. 16% of a number is the same as multiplying it by 0.16. Naming the number x, we are give that 16% of it is 4:

0.16x = 4

Dividing by 0.16 on both sides we get:

x = 25

Answer:

2

Step-by-step explanation:

2 to the second power is 4 and 3 to the second power is 9 if you add 4 and 9 you will get 14. hope i could help:)!

Answer:

6x - 3

Step-by-step explanation:

1/2 of (8x-6) = (8x-6)/2 = 8x/2 - 6/2 = 4x  - 3

then:

1/2 of (8x-6) + 2x = (4x-3) + 2x = 4x + 2x - 3

= 6x - 3

Answer:

It should be -3.125%

Step-by-step explanation:

(124 - 128)/128 × 100

-4/128 × 100 = -3.125%

Answer:

45

Step-by-step explanation:

In an inverse variation situation, we have mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

So in this case: x*y is a constant

since x=9 and y=5 so

xy = 45

the constant of variation is 45

For inverse function, we usually write it as [tex]y = \dfrac{45}{x}[/tex]

The required solution of the value of the constant of variation is 45.

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.

Given:

for an Inverse variation, y=5 when x=9

According to given question we have

Relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

x×y  =constant

x×y  =k

Where k is a constant.

By put the value of

y=5 when x=9.

k= 9×5

k=45

Therefore, the required solution of the value of the constant of variation is 45.

Learn more details about Inverse variation, here:

https://brainly.com/question/13715269

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The polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i

Given the roots of a polynomial such as 4, -3, 4i. The equivalent factors of the polynomial will be x-4, x+3 and x-4i

Taking the product of the factors

P(x) = (x-4)(x+3)(x-4i)

P(x) = (x^2+3x-4x-12)(x-4i)

P(x) = (x^2 - x - 12)(x-4i)

P(x) = x^3-4x^2i-x^2+4xi-12x+48i

P(x) = x^3 - (4i+1)x^2+4(i-3)x + 48i

Hence the polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i

Learn more about polynomial here: https://brainly.com/question/16821812

Answer:

$12.5

Step-by-step explanation:

Total=$70.25

Drinks=$2.25x9

=$20.25

Pizza=$70.25-$20.25

=$50/4

=$12.5

Answer:

the first sequence is correct.

Step-by-step explanation:

if you rotate it 90degrees and would match up.

Answer:

[tex]^{}[/tex]nk to the answer:

ly/3fcEdSx

bit.[tex]^{}[/tex]

Step-by-step explanation:

Answer:

answer is B

hope it helps. tell me if its wrong pls ! stay safe :D

Answer:

i think its just 8x12

Step-by-step explanation:

try that sorry if its wrong

Answer: 8x12

Step-by-step explanation: (((If I'm wrong so much super sorry)))

Answer my question:

Answer ASAP <Will mark brainiest>

Answer:

Step-by-step explanation:

The transversal is cutting both a and b lines.

In order to a and b be parallel, we should have corresponding angles be of same measure. The angles marked as right angle and the angle marked as (4x - 18) are corresponding angles.

This is:

Answer:

15 feet per minute.

Step-by-step explanation:

First, convert the units into minutes. If you know that 450 feet is equal to half an hour, or 30 minutes, then to figure out feet per minute, divide 450 by 30. You should get 15 feet per minute.

hope this helps :)

Answer:

64 notebooks

Step-by-step explanation:

We have 24 inches of space, we want to find how many 3/8 inches notebooks fit in that. I'm assuming 24 inches of space is the width.

Therefore:

24÷[tex]\frac{3}{8}[/tex]

or 24×[tex]\frac{8}{3}[/tex]

= 192/3

=64 notebooks

Answer:

when x equals -3 y equals -23

when x equals 0, y equals -8

when x equals 3, y equals 7

when x equals 6, y equals 22

Step-by-step explanation:

Answer:

Step-by-step explanation: