Which expression has an equivalent value to x^2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x +4)

The slope and the y-intercept of the equation y − 3(x − 1) = 0 are: slope = 3 and y-intercept = -3. The correct option is the fourth option (slope = 3 and y-intercept = -3)

To determine the slope and y-intercept of the equation, we will rewrite the equation in the form of the slope-intercept form of the equation of a straight line.

The slope-intercept form equation of a straight line is

y = mx + c

Where m is the gradient

and c is the y-intercept

From the question, the given equation is  y − 3(x − 1) = 0

This can be rewritten in form of the equation of a straight line as

y -3x +3 = 0

Then,

y = 3x - 3

Now, compare this to y = mx + c  (the slope-intercept form of the equation of a straight line)

Then,

m = 3 and c = -3

That is,

slope = 3 and y-intercept = -3

Hence, the slope and the y-intercept of the equation y − 3(x − 1) = 0 are: slope = 3 and y-intercept = -3. The correct option is the fourth option (slope = 3 and y-intercept = -3)

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No, the classmate is not correct. The difference between (x+2)² and (x²+4) is 4x.

No, your classmate is not correct. The difference between (x+2)² and (x²+4) is not necessarily 0. To find the difference, we need to expand both expressions and then simplify:

(x+2)² = x² + 4x + 4

(x²+4) = x² + 4

So, the difference between the two expressions is (x² + 4x + 4) - (x² + 4) = 4x. Hence, the difference is not 0.

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Answer:

A.) They are easier to get than both car loans and credit cards.

Step-by-step explanation:

Payday loans are also called cash advance loans or check advance loans.

These loans are comparatively very easy loans for a person to get. These are short term loans that come with high interest rates. The rates are based on the borrower's income and credit profile.

In this loan the principal amount is typically a small portion of the borrower's next paycheck.

Answer

A = 24.96 yd^2

Step-by-step explanation:

We need to find the area of the room

Area is length times width

A = lw

We know the length is 5.2 yds and the width is 4.8

A = 5.2 * 4.8

A = 24.96 yd^2

Answer:D. it’s the last one

Step-by-step explanation:

Hello!

The most logical answer would be a quiangular hexagon

I hope it helps!

Laura started with $60.00 before purchasing a shirt for $16.80 and a sweater for $24.75, and then had $18.45 remaining.

Calculating Laura's Starting Amount

To find out how much money Laura started with, we need to add the amount she spent on the shirt and sweater to the amount she had left over. Laura spent $16.80 on a shirt and $24.75 on a sweater. After these purchases, she had $18.45 remaining.

We calculate the total amount spent by adding the costs of the shirt and sweater together:

Cost of the shirt: $16.80

Cost of the sweater: $24.75

Total spent: $16.80 + $24.75 = $41.55

We now add the amount left after the purchases to find the total amount Laura started with:

Total spent: $41.55

Amount left: $18.45

Total amount Laura started with: $41.55 + $18.45 = $60.00

Answer:

The experimental probability of rolling a 4 is 0.14.

Step-by-step explanation:

Given : Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.

Number Rolled - Frequency - Experimental Probability

1                                 15                    0.15

2                                17                     0.17

3                                17                     0.17

4                                14                      ?

5                                21                     0.21

6                                16                     0.16

To find : What was the experimental probability of rolling a 4?

Solution :

Formula to find the experimental probability is

[tex]\text{Experimental Probability}=\frac{\text{Frequency of the number}}{\text{Total number of times cube roll}}[/tex]

We also notice that this pattern follows by other numbers also.

So, The experimental probability of rolling a 4 is

[tex]\text{Experimental Probability}=\frac{14}{100}[/tex]

[tex]\text{Experimental Probability}=0.14[/tex]

Therefore, The experimental probability of rolling a 4 is 0.14.

General Idea:

Arithmetic sequence is a sequence which have common difference. The [tex] n^{th} [/tex] term of arithmetic sequence is given by the below formula:

[tex] a_n=a_1+(n-1)\cdot d\\ \\ Where:\\ a_1 \; is \; the \; first\; term\; of\; the\; sequence\\ n is \; the\; number \; of\; terms\; in\; the\; sequence\\ d\; is\; the\; common\; difference\; =\; a_2-a_1 [/tex]

Applying the concept:

47,42,37,32, …

[tex] a_1=47\\ \\ a_2=42\\ \\ d=a_2-a_1=42-47=-5\\ \\ a_n=47+(n-1) \cdot -5\\ a_n=47-5(n-1)\\ Distributing \; 5\; inside \; the \; parenthesis\\ \\ a_n=47-5n+5\\ Combine\; like\; terms\\ \\ a_n=52-5n [/tex]

Conclusion:

The explicit rule for the sequence 47,42,37,32 is [tex] a_n=52-5n [/tex]

The area of the yard inside the fence will be 15,625 feet². Square centimeters and other similar units are used to measure area.

The space filled by a flat form or the surface of an item is known as the area.

lumber required to build the fence = 500 feet

The side of the square yard is ;

[tex]\rm a = \frac{500}{4} \\\\ a =125\ feet[/tex]

The fence is 5 feet tall. The area of the yard inside the fence is found as;

[tex]\rm A_f = side \times side \\\\ \rm A_f =125 \times 125 \\\\ \rm A_f =15,625 \ feet^2[/tex]

Hence the area of the yard inside the fence will be 15,625 feet².

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Answer:

A

Step-by-step explanation:

The correct answer is A. 6