The vertex of this parabola is at -5, -2. when the x-value is 4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation

Answers

Answer 1

Answer:

4/81 = a

Step-by-step explanation:

The vertex form of a parabola is

y = a (x-h)^2 +k  where (h,k) is the is the vertex

y = a (x- -5)^2 -2

y = a (x+5)^2 -2

Substituting the point into the equation

2 = a( 4+5)^2 -2

2 = a( 9)^2 -2

2 = a (81) -2

Add 2 to each side

4 = 81 a

Divide each side by 81

4/81 = a

Answer 2

Answer:

a=4/81

Step-by-step explanation:

Hopefully this helps :)


Related Questions

Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below.

A rectangle with a length of 3 x and height of x.

If Kyle uses 18 feet of wood to make the frame, what is the length of the frame?

Answers

Answer:

D

Step-by-step explanation:

Answer:D

Step-by-step explanation: got it right

What is 1+1 * the square root of 199 and 198

Answers

Answer:2.14.07

Step-by-step explanation:

Ol
© The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many
students are girls?​

Answers

Answer:

16

Step-by-step explanation:

[tex]no \: of \: girls = \frac{4}{5 + 4} \times 36 \\ \\ = \frac{4}{9} \times 36 \\ \\ = 4 \times 4 \\ \\ = 16[/tex]

Answer:

Step-by-step explanation:

let the ratio of boys and girls be 5x and 4x

According to question,

5x+4x = 36

or, 9x= 36

x=4

number of boys = 5x

                            = 5·4= 20

number of girls = 4x

                         = 4.4=16

therefore the total no of boys is 20 ans girls is 16

A restkaurant worker is able to clean 32 dishes in 8 minutes. How many minutes would it take to clean 58 dishes?

Answers

Answer:

14.5

Step-by-step explanation:

Find the unit rate

Enter numbers into the table so that the paired values are in a proportional relationship. x 2 6 8 20 y 3 4 6 10

Answers

Answer: X 2,6,8,12,20

Y 1,3,4,6,10

Step-by-step explanation:

Divided by 2 too get the answers  or add 10 + 10 you’ll get the answer

Answer:

Y 1,3,4,6,10

Step-by-step explanation:

took the test c:

While shopping for clothes, Jocelyn spend $80 less than three times what Tracy spent. Jocelyn spend $10. Right and solve an equation to find out how much Tracy spent. Let X represent how much Tracy spent.

Answers

Tracy = x
Jocelyn = 3x - 80
When y = 10
y = 3x - 80
10 = 3x - 80
90 = 3x, x = 30
Solution: Tracy spent $30
If Daniel spent x
x dollars, then Tracy spent 3x−8
3x−8 dollars. Since Tracy spent $10, we can write the equation:

3x−8=10
3x−8=10

Solve for x
x. Add 8 to both sides:

3x=18
3x=18

Divide both sides by 3:

x=6
x=6

So, Daniel spent $6.

How can you best describe how to determine if a sequence is arithmetic or geometric?

Answers

Maybe finding out through calculator

When 17 is divided by K ; where k is a positive integer less than 17 the remainder is 3 .What is the remainder when the sum of the beta possible values of Kivided by 17.

Answers

Answer:

The remainder is 4.

Step-by-step explanation:

Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:

When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?

The explanation of the answer is now given as follows:

Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.

Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.

Therefore, we have:

Sum of the possible values of k = 7 + 14 = 21

Also, we have:

Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.

Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.

PLS HELP THIS IS TIMED

Answers

C because you divide both sides first

A company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to contribute an equal amount, x, to help pay for the losses.

Part A
Which expression shows the total loss after the owners contribute some money?

Answers

Answer:

x=$5400:8

$5400:8x = total loss after the owners contribution

The expression shows the total loss after the owners contribute some money is 8x = 5400

Equation

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount contributed by each owner as loss.

Since there are 8 owners sharing a loss of $5400, hence:

8x = 5400

x = 675

The expression shows the total loss after the owners contribute some money is 8x = 5400

Find out more on equation at: https://brainly.com/question/13763238

What is the area of the building below? *

Answers

you’ll need to split the shape into 2 rectangles then find the area of both the rectangles and add them together.
30*10=300
20*10=200
area=500

Find the nth term of this quadratic sequence
4,9, 16, 25, 36,​

Answers

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The terms are square numbers with each term shifted to the right by 1

That is 1, 4, 9, 16, 25, 36, .....

Thus to obtain 4 in the first position, then

n = 1 → (1 + 1)² = 2² = 4

To obtain any term add 1 to its position in the sequence, that is

[tex]a_{n}[/tex] = (n + 1)²

Help me please. I need helpppppoooooopppppopopppp

Answers

Answer:

0

Step-by-step explanation:

The minimum number of cavities a patient had was 0 cavities.

Answer:

0

Step-by-step explanation:

The smallest number that indicates cavity is '0' therefore it is the minimum number of cavities

Which company has the highest charge per attendee?

Answers

Step-by-step explanation:

As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.

So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.

What is the answer to it?

Answers

Answer:

The answer is

[tex] - 6x + 17[/tex]

5x^2+2x-3=0 by factorisation method​

Answers

Answer:

x = - 1, 0.6

Step-by-step explanation:

[tex]5 {x}^{2} + 2x - 3 = 0 \\ \\ 5 {x}^{2} + 5x - 3x - 3 = 0 \\ \\ 5x(x + 1) - 3(x + 1) = 0 \\ \\ (x + 1)(5x - 3) = 0 \\ \\ x + 1 = 0 \: \: or \: 5x - 3 = 0 \\ \\ x = - 1 \: \: or \: \: x = \frac{3}{5} \\ \\ x = - 1 \: \: or \: \: x = 0.6 \\ \\ x = - 1, \: \: 0.6[/tex]

Answer:

X= -1 or X=3/5

Step-by-step explanation:

5x^2+2x-3=0

(x+1)(5x-3)=0

x= -1 or 5x/5=3/5

x=3/5

I have a half-full bottle of water and it has more than 8 ounces in it. What would be the expression

Answers

Answer:

The equivalent expression is [tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex].

Step-by-step explanation:

The best approach consists in translating the sentence given in the question into mathematical terms until an expression is complete:

(i) I have a half-full bottle of water

Translation: I use a bottle with a maximum volume capacity [tex]V_{max}[/tex], measured in ounces, a half of it is full of water:

[tex]\frac{1}{2}\cdot V_{max}[/tex]

(ii) And it has more than 8 ounces in it

Translation: The volume occupied by the water is greater than 8 ounces. Hence, we get the following inequation:

[tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex]

​If ​y ​= 80 when ​x ​= 32, find ​x ​when ​y ​= 100.

Answers

Answer:

when y=80 the value of x is 32 and when y=100 what is the value of x so Criss cross 80=32

and 100= x so the answer will be 32*100 divided by 80 is equal to 40 I guess it's 40 the value of x is 40 in my guess

There are 20 sweets in a box.
x of the sweets are red.
The rest of the sweets are yellow.
Tom takes at random a sweet from the box.
Write down an expression, in terms of x, for the probability that Tom takes a yellow sweet.

Answers

Answer:

[tex]probability \: of \: getting \: red \: sweets = \frac{x}{20} \\ probability \: of \: getting \: yellow \: sweets \: = \frac{(20 - x)}{20} [/tex]

The probability of getting red sweets is x/20 and the probability of getting yellow sweet is (20-x)/20.

What is a probability?

Probability is about estimating or calculating how likely or 'probable' something is to happen.

Given that x is the number of red sweets.

The total number of sweets is 20.

The number of yellow sweets = 20 - x.

The probability of getting a red sweet is given by

P(x) = x/20

The probability of getting a yellow sweet is given by

P(20-x) = (20-x)/20

Hence, x/20 is the probability of getting a red sweet and (20-x)/20 is the probability of getting yellow sweet.

To learn more about probability, use the link given below:

https://brainly.com/question/11234923

#SPJ2

can someone help please

Answers

Answer:

1.6

Step-by-step explanation:

Tawanna is asked to find the GCF of each term in the expression 2 a b + 8 b. Her work is shown below.

Factors of 2ab: 1, 2, a, and b
Factors of 8b: 1, 2, 4, 8, and b
GCF: (1) (1) (2) (2) (b) (b)

Which best describes the error in Tawanna’s solution?
Tawanna factored one or both pieces of the expression incorrectly.
Tawanna did not include each factor in the GCF.
Tawanna should have used each common factor once.
Tawanna included only one of the variables in her solution.
Mark this and return

Answers

Answer:

Tawanna should have used each common factor once.

Step-by-step explanation:

Tawanna is asked to find the GCF of each term in the expression 2 a b + 8 b.

Factors of 2ab: 1, 2, a, and b

Factors of 8b: 1, 2, 4, 8, and b

GCF: (1) (1) (2) (2) (b) (b)

GCF = Greatest common factor

She has calculated the GCF incorrectly as she should use each common factor once only. But she has taken all the common factors twice which is wrong.

Hence, the error in Tawanna’s solution is that "Tawanna should have used each common factor once.". Hence, the correct option is (c).

Answer:

C - Tawanna should have used each common factor once.

Step-by-step explanation:

Just gotit right on edge 2021! :) have a good day!

Find the slope of the line
that goes through the given
points
t
(1,2) (3,-4)
I
1

Answers

Answer:

Step-by-step explanation:

y2-y1=

x2-x1

2--4=6(negatives cancel out)

3-1=2

so 6/2 =3

3 is slope

Is -4 a integer yes or no

Answers

Answer:

Yes

Step-by-step explanation:

A integer is any number that's not a fraction.

Answer:

yes

Step-by-step explanation:

integer are numbers that aren't a fraction

Choose the number sentence whose product is 5.85.
A. 1.7 x 3.5
B. 26 x 2.25
C. 4.5 x 2.3
D. 1.3 x 4.5

Answers

Answer:

D

1.3 times 4.5 is 5.85

Answer:

D

Step-by-step explanation:

BRAINLYEST please


Need help with question

Answers

Your answer is gonna be the second one!

9. Determine which of the following sequences is a geometric sequence. Check all that apply.
3,9, 27, 81, ...
100, 90, 80, 70, ...
5, 10, 20, 40, ...
2, 10, 18, 26,...
625, 125, 25, 5, ...
-2, 6, -18, 54, ...

Answers

Step-by-step explanation:

first geometric sequence

3^1, 3^2 ,3^3, 3^4,......

3, 9, 27, 81.......

second

5^1, 5^2, 5^3, 5^4,........

5, 25, 125, 625,........

third

2, 10, 18, 26,.....

which has the difference of 8

fourth

100, 90, 80, 70,......

what would be the slope of (1,-2) and (3,0)

Answers

Answer:

1

Step-by-step explanation:

Hello :)

So to answer this problem, we can use the rise over run formula.

The rise is the difference of any two y values.

The run is the difference of the x values from the same two y values.

This question gives us 1,-2 and 3,0

We can use them for the formula:

-2 - 0 divided by 1 - 3

-2/-2 = 1

Answer:

[tex]m=1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (1, -2)

Point (3, 0)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{0+2}{3-1}[/tex]Evaluate Addition/Subtraction:              [tex]m=\frac{2}{2}[/tex]Evaluate Division:                                   [tex]m=1[/tex]

What is the solution to the equation -6x + 9 – 4x = 14?

Answers

[tex] - 6x + 9 - 4x = 14 \\ - 6x - 4x = 14 - 9 \\ - 10x = 5 \\ x = \frac{5}{ - 10} \\ x = - \frac{1}{2} \\ x = - 0.5[/tex]

PLEASE HELPpppppppppppppppp

Answers

Answer: 140%

Step-by-step explanation:

Cost of the coats = $45 each

Selling price of the coat = $63 each

The percent of the purchase price that is the sales price would be:

= 63/45 × 100

= 7/5 × 100

= 140%

Therefore, the answer is 140%.

What time is it exactly 1,440,000 minutes after 10 pm

Answers

Answer:

The answer is 11 PM

Step-by-step explanation:

1,440,000 minutes is the same as 24,000 hours. Then, you add that to 10pm of that day and you get 11 pm. It is the same as multiplying 24 x 1000 hrs. it is like adding 1000 days to that since it is 24 hrs in one day. Hope this helped!!

Answer:

11:00 pm

Step-by-step explanation:

1,440,000 minutes, convert it into hours and you get 24,000 hours. Since 24 hours equal a day 24,000 is 1,000 days. Attach 10:00 pm since its exactly 1,000 days after and you get 11:00 pm.

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