Factor the expression below.
4x2 - 1
A)
(2x – 1)(2x – 1)

B)

(4x – 1)(x + 1)

C)

(2x + 1)(2x – 1)

D)

(4x + 1)(x + 1)

Answer is in the photo. I can only upload it to a file hosting service. link below!

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Answer:

Step-by-step explanation:

Answer:

The average rate of change is 2.

Step-by-step explanation:

We are given the function:

[tex]g(x)=-x^2+x+5[/tex]

And we want to find the average rate of change over the interval:

[tex]-4\leq x\leq 3[/tex]

The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.

Our first endpoint is given by:

[tex]g(-4)=-(-4)^2+(-4)+5=-15[/tex]

And our second endpoint is given by:

[tex]g(3)=-(3)^2+(3)+5=-1[/tex]

This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:

[tex]\displaystyle ARC=\frac{-1-(-15)}{3-(-4)}=\frac{14}{7}=2[/tex]

The average rate of change is 2.

Answer:

2000mL=2L

Step-by-step explanation:

Answer:

d. 22

Step-by-step explanation:

(PQ + QR) × QR = (TS + SR) × SR => two secants intersecting theorem

PQ = ?

QR = 2

TS = 8

SR = 4

Plug in the values

(PQ + 2) × 2 = (8 + 4) × 4

2PQ + 4 = 12 × 4

2PQ + 4 = 48

2PQ + 4 - 4 = 48 - 4

2PQ = 44

2PQ/2 = 44/2

PQ = 22

Answer:

I think the answer might be 700.

Step-by-step explanation:

If you divide 1,750 and 5 it equals 350. Then I multiplied the 2 by 350. That got me 700. Hope this helps!

Answer:

i believe that would be 5t-8

Step-by-step explanation:

hopefully this helps :)

have a nice day !!

**please let me know if this was wrong**

Answer:

5:20

Step-by-step explanation:

When working with the min hand

Starting from 12, each number of a clock adds an additional 5 mins until you reach the 12, where it starts at 0 again. So

1 = :05

2= :10

3 =:15

4 = :20

...and so on

When its 5:00, the hour hand is on the 5. As it moves towards 6:00, the hour hand will start to gradually get pulled towards the 6 until it becomes 6:00, where it will finally reach the 6.

Answer:

x=11

Step-by-step explanation:

use SOH, CAH, TOA

adjacent and opposite given so use TOA

tan(θ)=opposite/adjacent

tan(54)=x/8

x=11

Answer:

78.5

Step-by-step explanation:

A=πr^2 is the formula. Since you're using pi as 3.14, 3.14 times 5^2 is 78.5 (5^2 is 25 because 5x5=25)

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Answer:

Any number 5 and below

Step-by-step explanation:

We are given the expression that the difference between a number and 3 is no more than 2. Break down the expression and spot the key word of "difference," therefore meaning that the unknown number "x" and 3 is equal or less than 2. We can create the algebraic expression of x - 3, now since the answer must equal 2 or below 2, we can create the inequality :

x - 3 ≤ 2

Now the only numbers that are allowed to be inputted here is 5 and below.

The solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.

Let us denote the number as "x," we can express the given statement as an inequality:

|x - 3| ≤ 2

This inequality states that the absolute value of the difference between x and 3 is less than or equal to 2.

If x - 3 ≥ 0 (x ≥ 3)

In this case, the absolute value can be removed:

x - 3 ≤ 2

x ≤ 2 + 3

x ≤ 5

and if x - 3 < 0 (x < 3)

The absolute value becomes negative:

-(x - 3) ≤ 2

x + 3 ≤ 2

x ≤ 2 - 3

x ≤ -1

x ≥ 1

Combining the results from both cases, we have:

x ≤ 5 or x ≥ 1

Therefore, the solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.

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Answer:

18

Step-by-step explanation:

The LCM is 18.

9x2=18

2x9=18

Answer: Radius is always half of the diameter so the answer is 5

Step-by-step explanation:

Answer:

P = 9

Step-by-step explanation:

Answer:

Quarterly

Step-by-step explanation:

Answer:

27.02% of boys aged 16 to 17 will not be able find shoes that fit in this​ store

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.

This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]

These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this​ store?

Less than 24.6:

The proportion is the pvalue of Z when X = 24.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]

[tex]Z = -0.64[/tex]

[tex]Z = -0.64[/tex] has a pvalue of 0.2611

More than 28.8:

The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]

[tex]Z = 2.36[/tex]

[tex]Z = 2.36[/tex] has a pvalue of 0.9909

1 - 0.9909 = 0.0091

0.2611 + 0.0091 = 0.2702

0.2702*100% = 27.02%

27.02% of boys aged 16 to 17 will not be able find shoes that fit in this​ store

Answer:

John invested $6550 into Qantas

Step-by-step explanation:

Let's mark his investment into Qantas as x. We can rewrite the problem statement as:

(x+$1500) * 0.11 + x * 0.09 = $1475

0.11x + 0.11 * $1500 + 0.09x = $1475

0.2x + $165 = $1475

0.2x = $1310

x = $6550

Answer:

C I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: 5.22

Step-by-step explanation:

Given

[tex]\angle A=103^{\circ}[/tex]

Sine law is    [tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\\[/tex]

Here, a=8, c=5

Putting values

[tex]\Rightarrow \dfrac{8}{\sin 103}=\dfrac{5}{\sin C}\\\\\Rightarrow \sin C=\dfrac{5}{8}\sin 103^{\circ}=0.6089\\\Rightarrow C=37.51^{\circ}[/tex]

[tex]\Rightarrow \angle B=180^{\circ} -103^{\circ}-37.51^{\circ}\\\Rightarrow \angle B=39.49^{\circ}[/tex]

If b=m, then

[tex]\Rightarrow \dfrac{8}{\sin 103^{\circ}}=\dfrac{m}{\sin 39.49^{\circ}}\\\\\Rightarrow m=\dfrac{\sin 39.49^{\circ}}{\sin 103^{\circ}}\times 8=5.22[/tex]

Answer:Tbh I'm not for sure but I believe it would be B.

Step-by-step explanation:$11 per month for 12 months is $11×12 but it is deducted so that would be (-$11)×12

Answer:

19/12 or 1/7/12

Step-by-step explanation:

Answer:

In the problem 3/4+ 5/6 a common denominator is 12 because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers.

Therefore, 4*6 = 24

Hope it helps

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Thank you

Answer:7

Step-by-step explanation:

43 - 9 bc the sandwitch and then divde that number by 5

Answer:

0.367 = 36.7% probability that the student gets fewer than 2 questions correct

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he guesses the correct answer, or he does not. The probability of guessing the correct answer on a question is independent of any other question. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

8 questions on it

This means that [tex]n = 8[/tex]

4 choices.

One of them is correct, which means that [tex]\pi = \frac{1}{4} = 0.25[/tex]

What is the probability that the student gets fewer than 2 questions correct?

This is

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.25)^{0}.(0.75)^{8} = 0.1[/tex]

[tex]P(X = 1) = C_{8,1}.(0.25)^{1}.(0.75)^{7} = 0.267[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.267 = 0.367[/tex]

0.367 = 36.7% probability that the student gets fewer than 2 questions correct

Answer:

A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answer to each question.

What is the probability that the student gets fewer than 2 questions correct?

Round to 3 decimal places.

0.367

Step-by-step explanation:

the correct answer is A) y = -2/5x + 1

Step-by-step explanation:

2x + 5y - 5 = 0

2/5x + y - 1 = 0

y = - 2/5x + 1

Answer:

78/100 i dk hope it helps soo sory if its wrong if its wrong use slader itlll give answers to your textbook cuz it looks like your using one

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24 dividing by 3 equals 8.

The number of vanilla cupcakes at the party will be 8.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that at a party, the ratio of chocolate cupcakes to vanilla cupcakes is 4 to 3. If there are 24 chocolate cupcakes.

The number of cupcakes will be calculated as:-

4 / 3 = 24 / V

V = ( 24 x 3 ) / 4

V = 18

Hence, the quantity of vanilla cups is 18.

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Answer:

1920

Step-by-step explanation:

Answer:

1,920

Step-by-step explanation:

Hope this helps!

Lmk if you have any questions!

Have a great day! :)

Answer: He can buy 5 restaurant gift cards and 7 movie gift cards

Step-by-step explanation: