The graph of y = 12x2 will be more narrow than the graph of the parent function, y = x².

Question 2 options:
True
False

The quadratic function shown can be written in the form y = ax². Determine the equation of the quadratic function.



Question 4 options:

y = x²


y = -x²


y = 2x²


y = -2x²

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

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:

Reducing the length of the loan and increasing the down payment

Step-by-step explanation:

Assuming Francis has the ability to choose the length of his loan and the amount of the down payment.

The method that would help Francis to decrease the total cost of the loan is - reducing the length of the loan and increasing the down payment.

When a person pays more amount in down payment, then he will have to loan out a smaller amount. And he will have to pay less interest. If the loan is short, the interest to be paid will be less. If the loan term is long, the interest also increases. One has to pay interest for the whole tenure of the loan.

So, if someone wants to reduce the loan amount, he must pay more in down payment.

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.

To learn more about the area refer to the link;

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Answer:

a) 30 pages b) 22.5 or 45/2 c)50/3 or 16.67 d) 1/8 e) 73/3 or 24.33 f)1/9 g) 1/27

Step-by-step explanation:

a) If Natalie has read 3/4 then all that's left is 1/4 of the book to read a whole book since 3/4+1/4=4/4=1

1/4 of 120=30 pages

b) One half of 45 is the same as dividing it by two or multiplying by  1/2.

1/2*45=45/2 =22.5

c) One third of 50, is the same of multplying by 1/3 then 1/3*50≈16.67

d) Take a look back at letter b. One half (1/2) of 1/4 is :

[tex]\frac{1}{2}*\frac{1}{4}=\frac{1}{8}[/tex]

e) One third of something, is 1/3 times something like previous cases above so 1/3*73=73/3≈24.33

f) One third of One third, is 1/3 times 1/3:

[tex]\frac{1}{3}*\frac{1}{3}=\frac{1}{9}[/tex]

g) One third of 1/9 is 1/3 times 1/9:

[tex]\frac{1}{3}*\frac{1}{9}=\frac{1}{27}[/tex]

Do not forget the rules of multiplying fractions. Numerator times Numerator, Denominator times Denominator. When we read a third, half,.. of this means one half times

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:

A

Step-by-step explanation:

The correct answer is A. 6

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:

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.

No!  Triangle ABC is not similar to triangle ADE.

Triangle ABC is not similar to triangle ADE because the sides of triangle ADE is not corresponding to that of Triangle ABC.

Similar triangles are triangles that share the same shape but may differ in size. This means that while their corresponding angles are equal, their corresponding sides are proportional.

For two triangles to be considered similar:

In practical terms, this means that if you were to resize one triangle while maintaining the same angle measurements, you could transform it into the other triangle. The concept of similarity plays a crucial role in various mathematical fields, including geometry, trigonometry, and calculus. It enables us to solve problems involving indirect measurements, scale drawings, and geometric relationships.

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]

Hello!

The most logical answer would be a quiangular hexagon

I hope it helps!

Answer:D. it’s the last one

Step-by-step explanation: