8.
Write the equation of the parabola in vertex form.



A. y = –x^2 + 4

B. y = –x^2 + 3

C. y = –(x – 1)^2 + 3

D. y = –x^2 – 4

Answer:

The answer is reflection on the y-axis

Step-by-step explanation:

Reflection on the x-axis will change the y-intercept

Horizontal shrink will change the slope but not to the point of making the 3 negative

Horizontal stretch is the same concept

Thus Reflection on the y-axis on the y-axisis the answer

Hope this helps!

Answer:

x=5

Step-by-step explanation:

I took the test. Hope this helps

The solution of the given equation is when the x = 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}

First, substitute the values from the given set;

When x = -1

1/4x−3/4=1/2

1/4(-1) − 3/4 = 1/2

-1/4 - 3/4 = 1/2

-4/4 = 1/2

-1= 1/2

This is not the solution to the given equation.

When x = 1

1/4x−3/4=1/2

1/4(1) − 3/4 = 1/2

1/4 - 3/4 = 1/2

-2/4 = 1/2

-1/2 = 1/2

This is not the solution to the given equation.

When x = 5

1/4x−3/4=1/2

1/4(5) − 3/4 = 1/2

5/4 - 3/4 = 1/2

2/4 = 1/2

1/2 = 1/2

This is the solution to the given equation.

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The first digit of the whole- number quotient will be in the hundred place.

To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;

[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]

From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)

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Your answer should be 876.

Answer:

876,000

Step-by-step explanation:

876,000

Answer:

first one is -3/4a^3b^2

Step-by-step explanation:

i dont know the second one and i need help on that one too im sorry

The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

the expression are;

1. - 27/64 a⁹b⁶

2. - 0.001 a³n³ⁿ⁺³

Now,

Solve the expression as;

1. - 27/64 a⁹b⁶

Take cube root, we get;

∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²

                     = - 3/4 a³b²

And,  - 0.001 a³n³ⁿ⁺³

∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹

                         = - 0.1 aⁿ⁺¹

Thus, The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

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[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

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Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The intersection of a line segment's two endpoints is known as the midpoint. From the midpoint to one endpoint and the midpoint to the other endpoint, you will be given two equal distances.

The formula for calculating the midpoint is given below:

For example, let us try solving this sample problem below using the midpoint formula:

Sample problem: A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5, -3) and the coordinates of the second existing tower are (9, 13). What are the coordinates of the point where the new tower will be placed?

From inspection on the given problem:

Substitute the given values into the midpoint formula and solve for M:

Therefore, the coordinates of the point are (2, 5).

[tex]\\[/tex]

Now, wasn't that easy? Try this other sample problem:

From the sample problem above, you may solve it on your own to enhance your skill on calculating the midpoint.

Cheers!

Answer:

y = 5x +4

Step-by-step explanation:

x has to equal 1

y = 5(1) +4 = 9

Answer:

b = -9

Step-by-step explanation:

-12 = 24 + 4b             [tex]\longmapsto\\[/tex]            Subtract 24 from both sides

-12 - 24 = 24 + 4b - 24

-36 = 4b                    [tex]\longmapsto\\[/tex]            Divide all sides by 4

-36 ÷ 4 = 4b ÷ 4

-9 = b

-Chetan K

Answer:

-9 = b

Step-by-step explanation:

-12 = 24 + 4b

-12 - 24 = 4b

[tex]\frac{-36}{4} = \frac{4b}{4} \\[/tex]

Hope this helps!

Answer:

i think its 150

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

rise = -2

run = 2

Slope = rise / run

= -2/2 = -1

Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .

Answer:

Slope = -1

Step-by-step explanation:

You are provided with two points on the line (-5, 7) and (1,1).

[tex]Slope = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

[tex]Slope = \frac{7-1}{-5-1} =\frac{6}{-6} =-1[/tex]

Answer:

Either 2.34 or 2.345

Step-by-step explanation:

Answer:

a. f = 3.50 + 0.15d

b. please see the analysis

Explanation and graph given in the picture

I hope it helps.

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.

Answer:

Yes it is an isosceles triangle

Step-by-step explanation:

We just need to see if the distance between two points is the same as the distance with two others

Distance between AB = (4 -(-1))² + (7 - 2)² = c²

                                        5² + 5² = c²

                                        25 + 25 = c²

                                        c = √50

Distance between AC = (11-(-1))² + (8 - 2)² = c²

                                        12² + 6² = c²

                                        144 + 36 = c²

                                        180 = c²

                                        c = √180

Distance between CB = (11-4)² + (8 - 7)² = c²

                                        7² + 1² = c²

                                        49 + 1 = c²

                                        50 = c²

                                        c = √50

Hence, this is an isosceles triangle because AB and CB are congruent in length.

-Chetan K

We need to verify if any of two sides are equal then it is an isosceles triangle.

Refer to the attachment now

Answer:

Short leg: 7cm

Long leg: 7√3

Step-by-step explanation:

This is a 30 60 90 triangle.

Picture shows how to solve.

Answer:

Step-by-step explanation:

y=-2x - 7/6    .............1

By using the slope-intercept form:

y=mx+c  ............2

By comparing equations 1 and 2:

m = -2

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Given, ∠POR=120

o

Hence, ∠POR=2∠PQR (half angle property)

∠PQR=

2

1

​

×120

o

=60

o

PQRS is a cyclic quadrilateral

∴∠PQR+∠PSR=180

o

∠PSR=180−60

∠PSR=120

o

Answer:

The slope is unidentified

Step-by-step explanation:

The equation of the line is x=4

Answer:

D) 39

Step-by-step explanation:

There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.

First step, find g(8):

g(x) = 3x - 2

When x = 8,

g(8) = 3(8) - 2

Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:

g(8) = (3 * 8) - 2

g(8) = (24) - 2

g(8) = 22

Next step, find g(-5):

g(x) = 3x - 2

g(-5) = 3(-5) - 2

g(-5) = (3 * -5) - 2

g(-5) = (-15) - 2

g(-5) = -17

Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:

22 - (-17) = 22 + 17 = 39

D) 39 is your answer.

~

Answer:

a.

Step-by-step explanation:

Answer:

A, B, E

Step-by-step explanation:

I just put the number of fiction books over the number of nonfiction books. Then I plugged it into a calculator and if the answer was the same as 15/22, then it was right!

2385/3498=15/22

3945/5786=15/22

2340/3588≠15/22

2480/3410≠15/22

4650/6820≠15/22

2310/3696=15/22

Answer:

B) y=3x-2

Step-by-step explanation:

The y-intercept would be -2, as you can see on the graph. Also, the slope would be 3. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Now you can plug in with numbers. y=3x-2.

Answer:

Is the answer you put correct? if not, i'll put it down underneath step-by-step.

If you're trying to find the y-intercept (its helpful), go to the 0  on the graph and try to find where the crosses (hint: y=-2). I think b is correct, either b or d. because y=-2 and those two only have 2 in them. Happy to help if i did!

You can give the other one brainliest

Answer:

19.17 ounces

Step-by-step explanation:

If she uses 6.39 ounces for 1 recipe and she wants to "triple" the recipe we then know that triple also means 3 times.

Due to that fact we now know what our equation is:

6.39 x 3  which equals 19.17

I hope this helps have great day :)

Answer: 19.17

Step-by-step explanation:  6.39 x 3 = 19.17

Answer:

Step-by-step explanation:

ford would be 250 in metres and the decimal would be the smallest

jerry, Simon, curst, carl, ford

The intervals of the domain over which the function is continuous is - option (C) (-infinity, infinity).

A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks. If some function f(x) satisfies these criteria from x=a to x=b, for example, we say that f(x) is continuous on the interval [a, b]. The brackets mean that the interval is closed -- that it includes the endpoints a and b. In other words, that the interval is defined as a ≤ x ≤ b. An open interval (a, b), on the other hand, would not include endpoints a and b, and would be defined as a < x < b.

we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

So the  the intervals of the domain over which the function is continuous is (-infinity, infinity) .

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