Rewrite the function y = 2(x – 4)^2 – 5 in standard form.

Answer:

(a)

[tex]b = 6[/tex] and [tex]a = 5[/tex]

(b) [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,2)[/tex]

[tex](x_2,y_2) = (4,b)[/tex]

[tex](x_3,y_3) = (a,8)[/tex]

[tex](x_4,y_4) = (6,10)[/tex]

See attachment

Solving (a): The values of a and b

First, calculate the slope of the line:

[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]

Let c = 4 and d = 1

[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]

So, we have:

[tex]m = \frac{10 - 2}{6 - 2}[/tex]

[tex]m = \frac{8}{4}[/tex]

[tex]m = 2[/tex]

To solve for the value of b, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 2 and d = 1

So, we have:

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

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]

[tex]\frac{b - 2}{2} = 2[/tex]

Multiply both sides by 2

[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]

[tex]b - 2 = 4[/tex]

Add 2 to both sides

[tex]b - 2 +2= 4 + 2[/tex]

[tex]b = 6[/tex]

To solve for the value of a, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 3 and d = 1

[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]

[tex]\frac{8 - 2}{a- 2} = 2[/tex]

[tex]\frac{6}{a- 2} = 2[/tex]

Cross Multiply

[tex]2(a-2) = 6[/tex]

Open bracket

[tex]2a-4 = 6[/tex]

Add 4 to both sides

[tex]2a-4+4 = 6+4[/tex]

[tex]2a= 10[/tex]

Divide both sides by 2

[tex]a = 5[/tex]

Solving (b): The value of y when x = 0.

This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]

Apply slope formula

[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex]   [tex](x_5,y_5) = (x,0)[/tex]

[tex]\frac{0 - 2}{x - 2} = 2[/tex]

[tex]\frac{- 2}{x - 2} = 2[/tex]

[tex]-\frac{2}{x - 2} = 2[/tex]

Cross Multiply

[tex]-2 = 2 * (x - 2)[/tex]

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

Collect Like Terms

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

[tex]2 = 2x[/tex]

Divide both sides by 2

[tex]1 = x[/tex]

[tex]x = 1[/tex]

Answer:

x+24<100

Step-by-step explanation:

Answer:

Rewrite the equation as y−6=35 .

y−6=35

Move all terms not containing y to the right side of the equation.

y=41

Step-by-step explanation:

Answer:

the answer would be A because when u subtract it the answer is $5.21

Answer:

point

Step-by-step explanation:

because it's a point and it doesn't have a line.

Answer:

the relation is NOT a function

domain: { 1,-2,1}

range:  { -2, 0, 2, 3}

Step-by-step explanation:

Answer:

4

I just know this, theres no explanation.The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Answer:

Vertical Angles, the other answers are wrong, as they represents other angle orientations

Answer:

right triangle

Step-by-step explanation:

A Right triangle is a triangle that has one of its angle as 90°.

Since the triangular shaped tiles has a right angle, the kind of triangle Kevin found will be a right triangle.

A right triangle has two acute angles (angles less than 90°) and a right angle

Answer:

The correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Step-by-step explanation:

Note: This question is not written in the proper form. It is therefore properly rewritten before answering the question as follows:

Frank thinks that 2x + 3x^2 is the same as 5x^3. Which statement shows that it is NOT the same?

A. 2x+3x^2 = 5x^2

B. 2(6) * 3(6)^2 ≠ 5(6)^3

C. 2x +3x ≠ 5x

D. 2(4) +3(4)^2 ≠ 5 (4)^3

The explanation of the answer in now given as follows:

The answer is determined by verifying which of the options has the same functional form as the functional form in the question and it is NOT disproved.

As it can be seen, only option has the same functional form as the functional form in the question.

Given 2(4) +3(4)^2 ≠ 5 (4)^3

By doing the calculation of each side, we have:

2(4) +3(4)^2 = (2 * 4) + (3 * 4^2) = 56

5 (4)^3 = 5 * 4^3 = 320

Therefore, 2(4) +3(4)^2 ≠ 5 (4)^3

Since the calculation does not disprove that 2(4) +3(4)^2 ≠ 5 (4)^3, the correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Answer:  D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Step-by-step explanation: I got it write on one of my tests.

Answer is when you look at the problem the first thing you should notice is the variable. Now we’re on to the solving to make this Easyer for you lets put this problem in the correct order 5 + n = -4 so we have to get negative 4 so we can not solve this problem until we replace the variable so we will replace the variable with 9, now the problem will look like this 5 + 9 = -4 and theirs your answer you substitute the variable for 9. Hope this helps pls mark brainlyest.

Step-by-step explanation:

Answer:

The amount is 4/5 of 5/6 is in 2/3.

Step-by-step explanation:

There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

We have to determine how many 5/6 are in the fraction 2/3.

The numbers are given in the question below

2/3 and 5/6

According to the given question, the required solution would be as:

⇒ 2/3 ÷ 5/6

⇒ (2/3) / (5/6)

Reciprocal the terms of the numerator in the above expression

⇒ (2/3) × (6/5)

Apply the multiplication operation,

⇒ 12 / 15

Reduce the fraction in the simplest form,

⇒ 4/5

Therefore, there 4/5 is 5/6 in the fraction 2/3.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Answer:

The length of the missing leg:

Step-by-step explanation:

Given

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

We can find the length of the leg b using the formula

[tex]b=\sqrt{c^2-a^2}[/tex]

substituting c = 10 and b = 6 in the formula

[tex]b=\sqrt{10^2-6^2}[/tex]

[tex]b=\sqrt{100-36}[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=\sqrt{8^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]b=8[/tex] mi

Therefore, the length of the missing leg:

Answer:

a = 2

b = 4

c = 8

Step-by-step explanation:

Remember the relationship:

[tex](a^{x})^{y} = a^{x*y}[/tex]

First, in "a" we have:

a) [tex]8^{1/3} = \sqrt[3]{8} = 2[/tex]

then in the next ones, we can use the result that we obtained in the part a:

b) [tex]8^{2/3} = (8^{1/3})^2 = (2)^2 = 4[/tex]

Now we can do exactly the same in c:

c) where first we need to know that:

2*2*2*2 = 4*4 = 16

then:

2^4 = 16

then:

[tex]\sqrt[4]{16} = 16^{1/4} = 2[/tex]

Now let's solve the problem:

[tex]16^{3/4} = (16^{1/4})^3 = (2)^3 = 2*2*2 = 8[/tex]

9514 1404 393

Answer:

  y = -3.75

Step-by-step explanation:

Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.

  0.10(y -7) +0.02y = 0.20y -0.4

  0.10y -0.70 +0.02y = 0.20y -0.40

  -0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms

  -0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y

  -0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y

Answer:

What's the "x" in -3x + 17 = -4?

Step-by-step explanation:

What's the "x" igcugxxugutdffifiyfiyfiyfuydutdtuuffufuyfufutyfufufutfuyfufutfuttfuuffufuufugfiyfygugutuyuggiygiyyfiygiufiyfiyfiyin -3x + 17 = -4?

Answer:

x=7

Step-by-step explanation:

-3x + 17 = -4

-3x=-4-17

-3x=-21

x=7

Answer:

250 feet

Step-by-step explanation:

If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.

a= 200

b= 150

c= ?

40,000 + 22,500 = c^2

62,500 = c^2

c = √62,500

∴ c = 250

Answer:

4.5

Step-by-step explanation:

3+1.5=4.5

Answer:

600 im pretty sure

Step-by-step explanation:

Answer:

the answer is the option B 35

Step-by-step explanation:

first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35

[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]

Answer:

[tex]\frac{x - 61}{x}[/tex]

Step-by-step explanation:

Let x = total number of hats sold

hat left after sales = x - (47 + 14 ) = x - 61

x - 61 / x

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

Answer:

'-18' is the constant in the expression -18 - 3a​.

Step-by-step explanation:

We know that in an algebraic expression the constant term has a fixed value and it can not be changed.

For example,

The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.

IN OUR CASE,

Given the expression

-18 - 3a​

As '-18' is a fixed number and its value can not be changed.

Therefore, '-18' is the constant in the expression -18 - 3a​.

Answer:

ASA and AAS are two postulates that help us determine if two triangles are congruent. ASA stands for “Angle, Side, Angle”, while AAS means “Angle, Angle, Side”. ... ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side

Step-by-step explanation:

[tex]\huge\sf\red{Answer : - }[/tex]

Four walls area of the hall = 2h(l+b)

where,

By substituting values according to the formula,

➙ 2 × 4m(12m + 10m)

➙ 8m(22m)

➠ 176m²

It's option B

Answer:

$40

Step-by-step explanation:

Let y represent the amount of money that Byron earned mowing the neigbours's lawn.

Since he spent one fourth of his money to see a movie, it means that the amount spent to see a movie would be y/4

Them he spent $6 on porpcon and drinks; which means that the total amount spent

= y/4 + 6

The amount left would be

y - (y/4 + 6) = y - y/4 - 6

When he went home, he had $24.00 left which means that;

y - y/4 - 6 = 24

y - y/4 = 24 + 6

3y/4 = 30

Cross multiply

3y = 120

y = $40

Therefore, Byron earned $40 mowing the neighbour's lawn.

Answer:

40 give him brainliest

Step-by-step explanation:

Answer:

33x - 14

Step-by-step explanation:

5x - 7 (2 - 4x)

5x - 14 + 28x

33x - 14

Answer:

it's 18x-10 and I'm also new and I searched it up in the internet

Step-by-step explanation:

ik online school is hard but they to download Every app thats for school so you can cheat