What's the equation of the parabola that has its vertex at (4,–1) and a y-intercept at (0,7)?
Question 2 options:

A)

y = –1∕2(x + 4)2 – 1

B)

y = 1∕2(x + 4)2 – 1

C)

y = 1∕2(x – 4)2 – 1

D)

y = 1∕2(x – 4)2 + 1

Answer:

0.5

Step-by-step explanation:

To find the midpoint, add the x values and y values respectively. Then divide the results by 2. So, the midpoint of CD will be (0.5,5.5). The x value is 0.5.

Hey there! :)

Answer:

0.5.

Step-by-step explanation:

Use the midpoint formula to solve for the coordinates:

midpoint = [tex]({\frac{x_{1}+x_{2}}{2} },{\frac{y_{1}+y_{2}}{2} } )[/tex]

Plug in the points for C and D:

[tex]({\frac{-2+3}{2} },{\frac{4+7}{2} } )[/tex]

Simplify:

[tex]({\frac{1}{2} },{\frac{11}{2} } )[/tex] These are the coordinates for the midpoint.

The x-value of the coordinate is 1/2, or 0.5.

Answer:

(4,8)

Step-by-step explanation:

6x-4y=-8

11x+4y=76  eliminate y

6x+11y=-8+76

17 x=68

x=68/17=4

substitute x :

6x-4y=-8

6(4)-4y=-8

-4y=-8-24

y=-32/-4

y=8

Answer:

x=1

Step-by-step explanation:

it is the point of intersection of both lines which (1,1)

for x=1 both produce same value i.e.,1

Answer:

sales tax rate = 4%

Step-by-step explanation:

In this problem formula to express one term in percentage is used

To express x as percentage of y is given by (x/y*100) %

______________________________________________

Cost of item = $480

sales tax = $19.20

we have to find sales tax rate.

sales tax rate is percentage of cost price which will levied as tax .

thus, we have to find sales tax as percentage of cost price.

using the percentage cost as given above

sales tax as percentage = sales tax/ cost of item *100

sales tax as percentage = 19.20/480 *100 = 4%

Thus, sales tax rate is 4%.

It means that if cost price of item is $100 then $4 will be the sales tax for the item.

Step-by-step explanation:

If the tickets given to employees = 40

Then tickets given to listeners = 2 x no of employees tickets

= 2 x40 = 80

Total tickets = 40+ 80 = 120

Answer: B )HDG This is the answer stay safe.

Answer:

b. HDG

Step-by-step explanation:

Three or more points that lie on the same line are collinear points. The points D is on the same line as H and G.

So the anwser would be B.

Answer:

Graph A is the answer

Step-by-step explanation:

Graph A is correct.

We have an inequality -

[tex]y < \frac{3x}{4}+2[/tex]

We have to graph this inequality and select the correct option.

Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.

We have in our question an inequality as -

[tex]y < \frac{3x}{4}+2[/tex]

Follow the following steps to reach the graph -

STEP 1 ->

Replace the ' < ' sign with ' = ' sign and plot the graph of the equation formed - [tex]y = \frac{3x}{4}+2[/tex]

which is same as y = mx + c.

On comparing : m = [tex]\frac{3}{4}[/tex]  and  c =2.

Therefore, this line intersects the y - axis at the point (0, 2).

STEP 2 ->

Since the line does not pass through (0,0) we can consider it as our test point. Substituting x = y = 0 in the inequality, we get -

0 < 0 + 2

0 < 2, which is true.

We will shade the area in which (0,0) lies.

STEP 3 ->

Since the inequality is a strict inequality, the line will be a dotted line.

Hence, Graph A is correct.

To solve more questions on plotting the graphs of inequality, visit the link below -

https://brainly.com/question/25851784

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Answer:

c = 90

Step-by-step explanation:

Answer:

127.28 (2dp)

Step-by-step explanation:

Using Pythagorean Theorem:

[tex]a^2+b^2=c^2\\90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\c=\sqrt{16200}\approx127.279221\\127.28[/tex]

Answer:

112

Since you stated 112 employees work for the company, and your question was how many work for the company, it is definetly

112.

Answer:112

Step-by-step explanation:

I ain’t making no explanation I’m just giving answers

Answer:

x>1

Step-by-step explanation:

12x+2>14

12x>12

x>1

Answer:

x > 1

Step-by-step explanation:

12x + 2 > 14

Subtract 2 on both sides.

12x > 14 - 2

12x > 12

Divide 12 into both sides.

x > 12/12

x > 1

Answer:

x = 3 + sqrt(13) or x = 3 - sqrt(13) or B)

Step-by-step explanation:

Solve for x:

x^2 - 6 x - 4 = 0

Hint: | Solve the quadratic equation by completing the square.

Add 4 to both sides:

x^2 - 6 x = 4

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 - 6 x + 9 = 13

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 3)^2 = 13

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 3 = sqrt(13) or x - 3 = -sqrt(13)

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 + sqrt(13) or x - 3 = -sqrt(13)

Hint: | Look at the second equation: Solve for x.

Add 3 to both sides:

Answer: x = 3 + sqrt(13) or x = 3 - sqrt(13)

Answer:

The addidtive inverse is 7y²- x²y - 3xy + 7x²

( here we need to change the sign of each of the term )

Answer:

7y2-x2y+3xy+7xy

Step-by-step explanation:

I got it right

Answer:

336.8 cubic meter or 336.8m³

Step-by-step explanation:

In other to solve the above question we would be using the volume of a square based pyramid.

The formula for the volume of a square based pyramid is

1/3a²h

In the above question we are given the following values as:

Side length of the base = a = 11.1 m

Height of the pyramid = h = 8.2m

Volume of the square based pyramid = 1/3 × 11.1² × 8.2

= 336.774 cubic meter or 336.774 m³

Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

[tex]-4x + 6 = 2x + 36[/tex]

Add -2x and -6 on both sides.

[tex]-4x + 6-2x-6 = 2x + 36-2x-6[/tex]

[tex]-4x-2x=36-6[/tex]

Combine like terms.

[tex]-6x=30[/tex]

Divide both sides by -6.

[tex]\frac{-6x}{-6} =\frac{30}{-6}[/tex]

[tex]x=-5[/tex]

Answer:

x = -5

Step-by-step explanation:

Group like terms together:  On the right side we get 2x + 4x = 6x.  On the left side we get 6 - 36 = - 30.

Then 6x = -30, and x = -5.

Answer:

d. (x+2)/(-x²-5)

Step-by-step explanation

 ƒ(x) = x + 2/(2x²)

The function is undefined when x =  0.

b. ƒ(x) = (2x + 4)/(3x + 3)

The function is undefined when 3x + 3 = 0, i.e., when x = -1.

c. ƒ(x) = (6x - 5)/(x² - 7)

The function is undefined when x² - 7 = 0, i.e., when x = √7.

d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)

The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.

This function has no excluded values.

Answer:

There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.

There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.

Probability = 16 / 2704 = 1 / 169

Answer:

8 gallons were in the tank beforehand.

Step-by-step explanation:

Answer:

8 gallons of gas

Step-by-step explanation:

13-5=8

Answer:

The answer is Parallelogram!

Step-by-step explanation: Unlike a square, a Parrallelogram has 2 same short sides, and 2 long! But a square has all same sides; so, it's not sqaure.

Answer:

square

Step-by-step explanation:

A rectangle is a quadrilateral with 4 right angles.

A square is a quadrilateral with 4 right angles and 4 congruent sides, so s square is a rectangle.

Answer:

D.

Step-by-step explanation:

" Sum" means "+".

The sum of the number of dogs and the 6 cats.

d + 6

Answer:

Option D

Step-by-step explanation:

Sum is Adding (+)

So,

The expression becomes

=> d+6

Answer: 14 cm

Step-by-step explanation:

First take out 1/4 of the pipe, the portion that is white.  Then, half of three quarters of the pipe is blue.  1/2 of 3/4 is 3/8.  3/8(blue) + 2/8(white) = 5/8.  Thus, 3/8 of the pipe is black.  Thus, take 5.25(The length of the black portion) and multiply it by 8/3(reciprocal of 3/8) to get 14.

Hope it helps <3

(If it does, please give brainliest, only need 1 more for rank up :) )

Answer:

Yes, because every x value corresponds to exactly one y value

Step-by-step explanation:

To be a function each x has to go to only one y

There is a one to one correspondence so this is a function

Answer:

5

hope your like this a swer

stay at home stay safe

bye bye

pls mark me as BRAINLIEST

Answer:

5

Step-by-step explanation:

If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.

Answer:

The correct answer is <XYZ

Step-by-step explanation:

Just took the quiz

Answer:

<XYZ

Step-by-step explanation:

Step-by-step explanation:

bodmas :3

1. 42 ÷ 8 x 2 = 5.25 x 2

= 10.5

2. 24 - 10.5 + 4 = 17.5

Answer:

17.5

Step-by-step explanation:

24-(42/8)×2+4

=24-(5.25×2)+4

=24-10.5+4

=13.5+4

=17.5

Answer:

From the information in the problem, the value of a is 2, the value of b is 2, and the value of c is -6.

Step-by-step explanation:

The first thing we have to do is factor the equation in order to find the value of a, b, and c.

2x³ - 8x² - 24x

Find a common factor that can be easily divisible among all the terms. This common factor is 2x. Factor the equation.

2x(x² - 4x - 12)

Now, we have to factor out the equation in the parentheses. we do this by multiplying the first term by the last term first. Since there is no coefficient number for x², then we assume this number to be 1.

1 × -12 = -12

Now, we have to find two numbers that multiply to get -12 but add together to get -4. These numbers are 2 and -6. Let's plug these numbers into the equation.

2x(x² + 2x - 6x - 12)

Group the first and second terms together and group together the third and last term together in the parentheses.

2x((x² + 2x) + (-6x - 12))

Factor the equation in parentheses.

2x(x + 2)(x - 6)

So, the value of a is 2, the value of b is 2, and the value of c is -6.

Answer:

Step-by-step explanation:B) x es un número impar

Answer:

B

Step-by-step explanation:

Answer:

the top right

Step-by-step explanation: