The vertex form of the equation of
a parabola is y = 2(x +4)^2 - 7.What is the standard form of the equation?

Answers

Answer 1

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25


Related Questions

(17 Points) Kenzie makes quilts with some blue squares and some green squares. The ratio of blue squares to green squares is shown in the diagram.

Answers

Answer:

Quilt A: 35 green squares.

Quilt B: 12 blue squares.

Step-by-step explanation:

Based on the diagram, there are 3 blue squares for every 5 green squares. Then the ratio can be expressed as:

[tex]3:5\ or\ \frac{3}{5}[/tex]

Therefore, knowing the ratio, you can calculate:

- The number of green squares (G) in quilt A, as following:

[tex]\frac{3}{5}=\frac{21}{G}\\\\G=\frac{21*5}{3}\\G=35[/tex]

- The number of blue squares (B) in quilt B, as following:

[tex]\frac{3}{5}=\frac{B}{20}\\\\B=\frac{20*3}{5}\\B=12[/tex]

Answer:

Step-by-step explanation:

35 green, 12 blue.

Is this True or False ?

Answers

Answer:

Option B True

Step-by-step explanation:

we know that

A function relates each element of a set  (input) with exactly one element of another set  (output)

1) "...each element..." means that every element in X (input)  is related to some element in Y (output)

2) "...exactly one..." means that a function is single valued. It will not give back 2 or more results for the same input

therefore

f(x) is a function

Need help ASAP ?!?!?!??!?!??!!?!?!?!?!

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]96units^2[/tex]

Step-by-step explanation:

The total surface area of a cube is given by [tex]6l^2[/tex].

The first cube has side length [tex]l=6[/tex] units.

This cube has total surface area, [tex]6(6)^2=216units^2[/tex].

If the second cube is reduced in size by [tex]\frac{2}{3}[/tex], then the corresponding change in area is [tex]\frac{2^2}{3^2}=\frac{4}{9}[/tex].

the total surface area of the new cube is [tex]=\frac{4}{9}\times 216[/tex].

[tex]=96units^2[/tex]

The polynomial (x-2) is factor of the polynomial 5x^2-6x+4

Answers

Let's simplify step-by-step.

5x^2−6x+4

There are no like terms.

Answer:

=5x^2−6x+4

Answer:

there is no way to simplify this equation therefore, the answer is

5x^2-6x+4

hope this helps :0

Step-by-step explanation:

15-1.3
[tex]15 - 1.3 = [/tex]

Answers

Answer:

13.7

Step-by-step explanation:

Rewrite 15 - 1.3 as 15.0 - 1.3.

Then rewrite this result as

15.0

-  1.3

--------

and subtract as indicated.

First note that 15-1 = 14, and that 15-2= 13.  Thus, the correct answer will be between 13 and 14.

Subtract:

15.0

-  1.3

--------

This results in 13.7.

15 - 1.3 simplifies to 13.7 is the numeric result obtained after subtracting 1.3 from 15.

When we simplify the expression 15 - 1.3, we are performing basic arithmetic operations, specifically subtraction.

The step-by-step process is:

1. Write down the expression: 15 - 1.3

2. Perform the subtraction: Subtract 1.3 from 15

15 - 1.3 = 13.7

The result 13.7 is the difference between 15 and 1.3.

B=pw+p, for w. What is the solution for w?​

Answers

Answer:

B/p -1 =w

Step-by-step explanation:

B=pw+p

Subtract p from each side

B-p=pw+p-p

B-p=pw

Divide each side by p

(B-p) /p = pw/p

(B-p) /p = w

B/p -1 =w

Please help! Question is in the image! Will mark brainest

Answers

Answer:

−8x−8x+13

for the first -8x it has a 2 for an exponient

hope im not you late :)

Jack is mowing lawns. He mows lawns at a constant rate of 1/3 acre every 3/4 hour. At this rate, which fraction represents the acres Jack can mow per hour?

Answers

Answer:

1/4 acre every 1 hour

Step-by-step explanation:

divide 1/3 with 3/4 to find unit rate

Answer:

[tex]\frac{4}{9}acres/hr[/tex]

Step-by-step explanation:

Givens

The constant rate is 1/3 acre per every 3/4 hour.

To find the fraction that represents the constant per hour, we just need to divide both expression, like this

[tex]\frac{1}{3}acre \div \frac{3}{4}hr=\frac{1}{3}\times \frac{4}{3} =\frac{4}{9}acres/hr[/tex]

Therefore, the expression that represents the acres Jack can mow per hour is

[tex]\frac{4}{9}acres/hr[/tex]

What number is 40% of 200

Answers

That number is 80.

Move 40 two decimal places to the left:

0.40

Multiply

0.40 × 200

This equals

80

Answer: 80

Step-by-step explanation:

(40/100)*200

you are stacking boxes that have 250 boxes to load, at the end of the shift you have 17 complete loads of boxes and 141 boxes as a partial load. how many total boxes did you stack for the day​

Answers

Answer:

92

Step-by-step explanation:

question how many total boxes did u stack one day?

how i subtracted 250-12=233

then 233-141= 92

92 boxes stacked

Which of the following options have the same value as 25% of 64?

Choose 2 answers:

A) 25 • 64
B) 25/100 • 64
C) .25 • 64
D) 64 divided by 25/100
E) 25 divided by 64/100

Answers

Answer:

A) 25 • 64

B) 25/100 • 64

C) .25 • 64

D) 64 divided by 25/100

E) 25 divided by 64/100

B and C i believe

Final answer:

The values that have the same value as 25% of 64 are Options B) 25/100 · 64 and C) .25 · 64, both yielding the correct value of 16 when calculated.

Explanation:

To find the same value as 25% of 64, we need to express 25% in different formats and apply it to 64. Option B) 25/100 · 64 translates the percent into a fraction, then multiplies by 64. Option C) .25 · 64 converts the percentage directly into a decimal, again multiplying by 64. Both expressions will yield the same result, which is the value of 25% of 64.



Options A), D), and E) do not give the correct value. A) is simply multiplication without considering the percentage, D) is incorrect because dividing 64 by a fraction is equivalent to multiplying by its reciprocal, and E) is an incorrect fraction division that does not represent 25% of 64.



Therefore, the correct answers are B) and C).

Find the sum of the even numbers shown below. 2+4+6+8+...+66+68+70​

Answers

The sum its +2

2+2=4

4+2=6

6+2=8

8+2=10

And so on the numbers just keep sum for 2

Final answer:

To find the sum of even numbers from 2 to 70, we use the arithmetic sequence sum formula, resulting in a total sum of 1260.

Explanation:

The student's question is asking to find the sum of even numbers from 2 to 70. To do this, we can recognize that this is an arithmetic sequence, where the first term (a1) is 2, the last term (an) is 70, and the common difference (d) is 2, as we are stepping through even numbers only. This sequence has (70/2) terms, which gives us 35 terms.

The sum of an arithmetic sequence is given by the formula S = n/2 (a1 + an), where S is the sum, n is the number of terms, a1 is the first term, and an is the last term. By applying this formula, we can calculate the sum as follows: S = 35/2 (2 + 70) = 35 (72/2) = 35 (36) = 1260.

Therefore, the sum of the even numbers from 2 to 70 is 1260.

Plz help me i need it

Answers

Answer: I believe the correct answer is always because function of a function would be function. So, the answer would be A. always:)

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:   sometimes

Step-by-step explanation:

Examples:

Given the function: y = x

The inverse is: x = y, which IS a function.  

Given the function: y = x²

The inverse is: x = ±√y, which is NOT a function  

Solve for “a”
a - 40 = 21

Answers

Answer:

a = 61

Step-by-step explanation:

Isolate the variable a by adding 40 to each side.

a = 21 + 40

a = 61

The student council at Woodland middle school is planning a field trip. They pulled it randomly selected teachers and students and asked what they want to eat for lunch. Results are shown in the table below.

Answers

I may be the second one because the first one says 19 percent of the people who polled that are teachers prefer burgers. And the second one says 19 percent of the teachers polled prefer burgers, so I think it is the second answer.

Answer:

Step-by-step explanation:

First question:  19% of those who prefered burgers were teachers.  This is true.  We focus on the "Burgers" column and ignore the rest of the table.  

Second question:  19% of the teachers polled prefered burgers.  This is false.  If we look at the "teachers" line, we see that 6 teachers prefered pizza and 4 prefered burgers.  The percentage of teachers prefering burgers was 4 / (4+6), or 4/10, or 40%.

Third question (impossible to read):  19% of the people polled prefer ..... .

False.  That 19% does not pertain to the entire group of people polled.

494.4 80% of what amount​

Answers

80% × 494.4 =

(80 ÷ 100) × 494.4 =

(80 × 494.4) ÷ 100 =

39,552 ÷ 100 =

395.52;

proof

395.52 ÷ 494.4 =

0.8 =

0.8 × 100/100 =

0.8 × 100% =

(0.8 × 100)% =

80%

╦___________________________________╦

│Hope this helped  _____________________│

│~Xxxtentaction ^̮^ _____________________│

╩___________________________________╩    

Which are solutions to 3sin^2 θ - 2sin θ = 0, 90°≤θ≤90°

Answers

Answer:

The solutions of the equation are -41.8° , 0.0° , 41.8°

Step-by-step explanation:

∵ 3 sin²Ф - 2 sinФ = 0 is a quadratic function

∵ The domain of the function is -90° ≤ Ф ≤ 90°

- Lets take sinФ as a common factor

∴ sinФ (3 sinФ - 2) = 0

- Two terms multiplied by each other = 0

∴ One of them must be equal zero

∴ sinФ = 0 or 3 sinФ - 2 = 0

- If sinФ = 0 ⇒ Ф = 0.0°

- If 3 sinФ - 2 = 0 ⇒ 3 sinФ = 2 ⇒ sin Ф = 2/3

∵ sinФ 2/3

∴ Ф = 41.8° ⇒ Ф ≤ 90° (in first quadrant)

∵ -90° ≤ Ф ≤ 90°

∴ Ф = -41.8° ⇒ Ф ≥ -90° (in fourth quadrant)

∴ The solutions of the equation are -41.8° , 0.0° , 41.8°

Step-by-step explanation:

Correct Answer is B and C 0.0, and 41.8

True or False: mean and median sometimes have the same values

Answers

Answer: True

For example, the mean and median of any arithmetic function is equivalent.

Answer:

True

Step-by-step explanation:

Averages are sometimes called "measure of central tendency". In a distribution with a positive skew, the median has a higher value than the mean. In a normal distribution, the mean, median and mode have the same value. The median has only 50% of the cases below it ONLY in a normal distribution.

Mr. Finch buys a pack of ground coffee. He uses the same amount of ground coffee for each cup of coffee he brews. The equation below describes the relationship between the number of cups brewed (x) and the ounces of coffee (y) remaining in the pack.



How much ground coffee, in ounces, was in the full pack?

A: 3
B: 6
C:15
D:18

Answers

I think it was C:15 but I am not exactly sure

Final answer:

The equation that relates the number of cups brewed to the ounces of coffee remaining is necessary to determine the initial amount of coffee in the pack, which is not provided in the question.

Explanation:

The question does not provide the specific equation that describes the relationship between the number of cups brewed (x) and the ounces of coffee (y) remaining in the pack. However, the task is to determine how much ground coffee, in ounces, was in the full pack when Mr. Finch purchased it. To solve this, we would typically need to know how much coffee is used per cup and have an initial amount representing the full pack. If the equation was provided, we could use it to calculate the initial amount of the coffee. Without the equation, we cannot proceed with the calculation. Ensuring all critical information is provided in a word problem is crucial for solving it.

Is a centimeter more or less then a meter

Answers

Answer:

A meter is 100 times larger than a centimeter

Step-by-step explanation:

A meter is larger than a cm. u can try it on a ruler. look  at the cm notice how it is smaller than a meter.

Answer:

It depends.

Step-by-step explanation:

I won't say centimeter is less or more than a meter, because 1 meter is equal to 100 center centimeter. But when you compare different measurement it can, for example:

2 m = 200 cm (Both are same)

3 m > 250 cm (m is greater, actually 3m = 300 cm)

4 m < 450 cm (cm is greater, 4 m = 400 cm)  

//Hope it helps.

NEED HELP PLEASE!!!!!


Write an equation for g(u) in terms of u.


-3u + 6 = 18v - 6

Answers

Answer:

-1/6 u + 2/3 = v

Step-by-step explanation:

You can solve for v here so that the equation is in terms of u.

-3u + 6 = 18v - 6                Add 6 to both sides

-3u + 12 = 18v                    Divide everything by 18

-3/18 u + 12/18 = v             Simplify fractions

-1/6 u + 2/3 = v

How much money will you have if you started with $1250 and put it in an account that earned 6.7% every year for 14 years?

Answers

Answer:

$3098.93

Step-by-step explanation:

We can use the formula for compound growth to solve this. The formula is:

[tex]F=P(1+r)^t[/tex]

Where

F is the future value (the value at end of 14 years, our answer)

P is the initial amount invested ($1250)

r is the interest rate, in decimal (6.7% is 0.067)

t is the time in years (14, in our case)

Plugging in all the information we have:

[tex]F=P(1+r)^t\\F=1250(1+0.067)^14\\F=1250(1.067)^14\\F=3098.93[/tex]

The account will accrue $3098.93 after 14 years.

A pizza restaurant offers the following deals

Answers

Answer:

Step-by-step explanation:

Deal #1: One pizza= $8.99  

Deal #2: One pizza= $6.00  

Deal #1: Two pizzas= $13.99  

Deal #2: Two pizzas= $12.00  

Deal #1: Three pizzas= $18.99  

Deal #2: Three pizzas= $18.00  

Deal #1: Four pizzas= $23.99  

Deal #2: Four pizzas= $24.00  

Therefore, after FOUR pizzas, deal #1 becomes a better deal.  

Tip: Practice some math. You should be able to answer something like this within two minutes MAXIMUM.

Which mathematical expression is equivalent to the number sentence below?

Add 18 to 24, and then multiply by 6

a
24 + 18 x 6

b
24 + (18 x 6)

c
18 + ( 24 x 6)

d
(24 + 18) x 6

Answers

your answer is option D

add 18 to 24

(24 + 18)

now multiply by 6

(24+18)× 6

The answer is D (24+18)*6

HELP ME PLZ
******************

Answers

Answer:

504 km

Step-by-step explanation:

divide 180 by 15 (because 3 hours is 180 minutes)

after you divide you get 12

then multiply 12 by the 42 kilometers and you get 504

Answer:

504 km

Step-by-step explanation:

What is 72 x 1/4?
I have no clue!​

Answers

Answer:

18

Step-by-step explanation:

Honestly you can just use a calculator for this.

But if you want to know how to actually do it, multiplying something by a fraction is just dividing it by its reciprocal (just flipping the numerator and the denominator).

Therefore...

72/4 is 18, 72 x 1/4 = 18

Answer:

without a calculator u can solve by divideing 72 by 4

answer is 18

Plz help me with it

Answers


[tex] \sqrt{x + 8} = \sqrt{2x + 5} \\ x + 8 = 2x + 5 \\ - x = - 3 \\ x = 3[/tex]

Answer:   3

Step-by-step explanation:

[tex]\sqrt{x+8}=\sqrt{2x+5}\\\\(\sqrt{x+8})^2=(\sqrt{2x+5})^2\\\\x+8=2x+5\\\\8=x+5\\\\3=x\\\\\\Check:\\\sqrt{(3)+8}=\sqrt{2(3)+5}\\\\\sqrt{11}=\sqrt{11}\ \checkmark[/tex]

Use the distributive property to write an expression equivalent to m x 49

Answers

Answer:

1(m x 49)

Step-by-step explanation:

You cannot do too much with this problem, however multiplying by one will give you the same answer.

event q is more likely to occur then event t. the probability of event t is 1/2. what is a possible probability of event q?​

Answers

Among the given options, option C) 2/3 is a possible probability for event Q that is greater than 1/2. Therefore, the correct answer is C) 2/3.

If event Q is more likely to occur than event T and the probability of event T is 1/2, then a possible probability of event Q could be any value greater than 1/2.

Let's dive deeper into the concept of probability and explore why option C) 2/3 is a possible probability for event Q.

When we say that event Q is more likely to occur than event T, it means that the probability of event Q is greater than the probability of event T. In this case, we are given that the probability of event T is 1/2.

To find a possible probability for event Q, select a value greater than 1/2. Option C) 2/3 fits this criterion. It indicates that event Q has a probability of 2/3, which is greater than 1/2.

Complete question

Event Q is more likely to occur than Event T. If P(Event T) = 1/2, what is a possible probability of Event Q? A)1/4 B)1/2 C)2/3 D)It cannot be determined.

The possible probability of event q is  is  [tex]\(\frac{3}{4}\).[/tex]

Since event Q is more likely than event T, the probability of event Q must be greater than the probability of event T.

The probability of event T is [tex]\(\frac{1}{2}\),[/tex] so the probability of event Q must be greater than [tex]\(\frac{1}{2}\).[/tex]

This satisfies the condition that event Q is more likely than event T because [tex]\(\frac{3}{4}\) (or 0.75)[/tex] is greater than [tex]\(\frac{1}{2}\) (or 0.5).[/tex]

 It is important to note that there are infinitely many probabilities that are greater than [tex]\(\frac{1}{2}\)[/tex] and less than or equal to 1 (the maximum probability for any event).

However, the question asks for a possible probability, and [tex]\(\frac{3}{4}\) is[/tex] a valid example that meets the given criteria.

A certain type of bacterial cell divides into two cells every hour. So, in a colony of these cells, the population doubles every hour. ANSWER QUICK AND PLEASE BE RIGHT.

Which of the following describes the rate of population growth in this colony?

A. linear
B. both linear and nonlinear
C. nonlinear
D. neither linear nor nonlinear

Answers

Answer:

I don't fully know but my best guess would be Linear?

Step-by-step explanation:

Answer: the answer is nonlinear

Step-by-step explanation:

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