Which transformation maps the pre-image to the image? A. dilation B. stretch C. reflection D. rotation

Answer:

x⁴-32x³+384x²-2048x+4100

Step-by-step explanation:

f(g(x))= g(x)⁴+4

and simplify it

Answer:

a = - 1

Step-by-step explanation:

Given the points are equidistant from A then AP = AQ

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = P(3, - 3)

AP = [tex]\sqrt{3-0)^2+(-3-a)^2}[/tex] = [tex]\sqrt{3^2+(-3-a)^2}[/tex] = [tex]\sqrt{9+(-3-a)^2}[/tex]

Repeat with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = Q(- 2, 2)

AQ = [tex]\sqrt{(-2-0)^2+(2-a)^2}[/tex] = [tex]\sqrt{(-2)^2+(2-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex]

Equating AP and AQ

[tex]\sqrt{9+(-3-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex] ( square both sides )

9 + (- 3 - a)² = 4 + (2 - a )² ← expand parenthesis on both sides

9 + 9 + 6a + a² = 4 + 4 - 4a + a² ( subtract a² - 4a from both sides )

18 + 10a = 8 ( subtract 18 from both sides )

10a = - 10 ( divide both sides by 10 )

a = - 1

The value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

A(0,a) is equidistant from P(3,-3) and Q(-2,2).

It is required to find the value of a:

Using the distance formula:

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AP = AQ

[tex]\rm \sqrt{(3-0)^2+(-3-a)^2} = \sqrt{(-2-0)^2+(2-a)^2}[/tex]

After simplification:

9 + (3 + a)² = 4 + (2 - a)²

9 + 9 + 6a + a² = 4 + 4 - 4a + a²

18 + 10a = 8

10a = - 10

a = - 1

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

Thus, the value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1

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Answer:

Add 5 to both sides.

Step-by-step explanation:

3.7 = x + (-5)

3.7 + 5 = x + ( -5) + 5

5 cancels on the right

8.7 = x

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3.7=x+(-5).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 3.7=x-5

Add 5 to both sides of an equation, we get

3.7+5=x-5+5

x=8.7

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

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Answer:

the average cost if you go to ten classes plus the 200 plus 100 it will equal 300

Step-by-step explanation:

200 annual fee then 10+10+10+10+10+10+10+10+10+10 equal 100   so 200+100 equal 300 for the 10 classes plus the annual fee.

Answer:

X = 5

Step-by-step explanation:

3x + 12 + 9x = 72

okay hopefully i can explain so when your doing this combine like terms so

3x + 9x = 12x

12x + 12 = 72

then you would subtract both sides by 12

+12 = subtract x+12=2

- 12 = add x-12=2

there just flipped so in this case i would subtract 12

12x + ( 12-12) = ( 72-12 )

so 12-12 = 0 and 72-12 is equal to 60

12x = 60

the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5

so X = 5

hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So there are five candy bars.

Herself and two sisters equals 3 people in total.

This is a graph of 5 candy bars, each line being 1/2.

━ ━

━ ━

━ ━

━ ━

━ ━

If she ate half of one... the graph would become this.

━ ━

━ ━

━ ━

━ ━

━

Now there are 9 halves. You need to split the 9 halves for 3 people. 9 divided by 3 is 3.

Each person gets 3 halves, or 1 and 1 half.

Mai: ━ ━ ━

Sister 1: ━ ━ ━

Sister 2: ━ ━ ━

Altogether that is 9 halves, AKA the number of halves Mai had after she ate 1/2.

The amount Mai ate in the first place: ━

9 halves plus 1 half, equals 10 halves. Each whole has 2 halves. 10 divided by 2 is 5, AKA the number of candy bars she had in the first place.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

1) 85+(-96)=-11

2) 86+(-38)=48

3) 22+(-41)=-19

Step-by-step explanation:

1)

Here you are adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.

Think about it like 96-85=11, but it was flipped so negative 11.

-11

2)

86+(-38) is the same as 86-38

48

3)

Here you are also adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.

Think about it like 41-22=19, but it was flipped so negative 19.

-19

Hope this is helpful :-)

Answer:

y = [tex]\frac{1}{x}[/tex]

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 3 when x = [tex]\frac{1}{3}[/tex] , then

3 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )

3 × [tex]\frac{1}{3}[/tex] = k

1 = k

y = [tex]\frac{1}{x}[/tex] ← equation of variation

Answer:

GCF-12

Step-by-step explanation:

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12

Answer: The GCF is 12

Step-by-step explanation:

84=2*2*3*7

120=2*2*2*3*5

So, the GCF is 2*2*3=12

Answer:

6

Step-by-step explanation:

The opposite of -3 is 3. Opposite numbers are numbers that when added, sum to 0. The distance between 3 and -3 is |3 - (-3)| = |3 + 3| = |6| = 6.

Answer: x= 2, y= -1/2

Step-by-step explanation:

The value of x is 2 and y is -1/2

equations are  3x-2y=7 --1

                         7x+2y=13 --2

lets  consider  3x-2y=7 as equation 1,

       consider  7x+2y=13 as equation 2

by putting both the equations :-

              3x-2y=7

               7x+2y=13

we get  10x=20

           x=20/10

           x=2

Now by putting the value of x in equation 1;

3(2)-2y=7

6-2y=7

-2y=1

y=-1/2

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y. They are called simultaneous equations because the equations are solved at the same time. Each of these equations on its own could have infinite possible solutions.

algebraic equation, a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

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Answer:

Volume of a cylinder=1/2πr^2h.

1/2×3.142×10^2×5.

1/2×3.142×100×5.

1/2×1571

=785.5

Answer:

About 1570.8

Step-by-step explanation:

Start by looking at the equation for solving a cylinder, which is V = π x r² x h. Since r = radius (5) and h = height (10), you add those numbers into the equation. Now you have to solve V = π x 5² x 10, which will get you your repeating decimal of 1570.79633...which then can be rounded your answer of 1570.8.

Answer:

4x+2=22

4x+2-2=22-2

4x=20

4x/4=20/4

x=5

Answer: KE= 900,000t^2

Step-by-step explanation:

answer:

A.7/5 is the correct answer because numerator is more than denominator.

thank me plz

Answer:

the answer is A

Step-by-step explanation:

Answer:

Rational number

Step-by-step explanation:

Rational is the only one that repeat.

Answer:

Step-by-step explanation:

1). [tex]a^{3}\times a^5=a^8[/tex]

2). [tex](a^3)^3[/tex] = [tex]a^{9}[/tex]

3). [tex]\frac{a^{10}}{a^3}=a^{10-3}=a^7[/tex]

4). [tex]\frac{a^2}{a^7}=\frac{1}{a^{7-2}}=\frac{1}{a^5}[/tex]

5). [tex]\frac{a^5\times a^2}{a^7}=\frac{a^{5+2}}{a^7}=1[/tex]

6). [tex]\frac{16a^5b^3}{8a^2b}=(\frac{16\times 5}{8})(\frac{a^5}{a^2})(\frac{b^3}{b})[/tex]

              [tex]=\frac{80}{8}(a^{5-2})(b^{3-1})[/tex]

              = 10a³b²

7). [tex]\frac{2a^3b^3}{2b^2}=(\frac{2}{2})(a^3)(\frac{b^3}{b^2})[/tex]

             = a³b

8). [tex](\frac{a^{-8}}{b^{11}})^{-2}=(\frac{b^{11}}{a^{-8}})^2[/tex]

                 [tex]=(b^{11}a^8)^2[/tex]

                 = [tex]a^{16}b^{22}[/tex]

9). [tex]\frac{(2a^3)(a^4)^2}{8a^{11}}=(\frac{2}{8})(\frac{1}{a^{11-3}})(a^4)^2[/tex]

                   [tex]=\frac{1}{4}(\frac{a^8}{a^8})[/tex]

                   [tex]=\frac{1}{4}[/tex]

10). [tex]\frac{5a^7b^2}{15a^{10}b^{-3}}=(\frac{5}{15})(\frac{a^7}{a^{10}})(b^{2+3})[/tex]

                   [tex]=\frac{1}{3}(\frac{b^5}{a^3} )[/tex]

                   [tex]=\frac{b^5}{3a^2}[/tex]

11). 3a⁰ = 3(1) = 3

12). (a²b)⁴ = (a²)⁴(b)⁴

                = a⁸b⁴

Answer: [tex]3x^6+x^5-x^4-6x^3+x^2+3x-1[/tex]

Step-by-step explanation:

 (3x^2+x-1)(x^4-2x+1)

=3x^6-6x^3+3x^2+x^5-2x^2+x-x^4+2x-1

=3x^6+x^5-x^4-6x^3+x^2+3x-1

Hope this helps!! :)

Please let me know if you have any question

Answer:

the thing below xd

Step-by-step explanation:

[tex](3x^{2} +x-1)(x^4-2x+1)\\\\=3x^2(x^4-2x+1)\\+x(x^4-2x+1)\\-1(x^4-2x+1)\\\\=3x^6-6x^3+3x^2\\+x^5-2x^2+x\\-x^4+2x-1\\\\=3x^6+x^5-x^4-6x^3+(3-2)x^2+(1+2)x-1\\\\=3x^6+x^5-x^4-6x^3+x^{2} +3x-1[/tex]

Answer:

100 minuets aka 1 hour and 40 minuets

Step-by-step explanation:

It would be 100 because 500÷5=100

Answer:

Step-by-step explanation:

[tex]8+9\div3\times6-5\\= 8+9\div \:3\times \left(6-5\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(6-5\right)\::\quad 1\\=8+9\div \:3\times \:1\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\div \:3\times \:1\::\quad 3\\=8+3\\\\= 11[/tex]

[tex]5+3-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=5+3-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:5+3-2-2\::\quad 4\\=4[/tex]

[tex]\left(5+3\right)-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5+3\right)\::\quad 8\\=8-8\div \:4-2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=8-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-2-2\::\quad 4\\=4[/tex]

Answer:

It will change the x by -1 and the y by +6

Step-by-step explanation:

Translating is sliding a shape up or down, thus coordinates will be changed

Answer:

5.48

Step-by-step explanation:

Given length of three strings:

[tex]\text{Length of first string}, L_1=7.68\ inches\\\text{Length of second string}, L_2=3.9\ inches\\\text{Length of third string}, L_3=2.2\ inches[/tex]

To find:

The difference in length between the longest and the shortest string?

Solution:

First of all, let us compare the given three decimal numbers.

We check the number before decimal first of all.

We can see that the numbers are 7, 3, and 2.

7 being the largest [tex]L_1[/tex] is the longest string.

2 being the smallest [tex]L_3[/tex] is the shortest string.

So, the difference is:

[tex]L_1-L_3=7.68-2.2\\\Rightarrow \bold{L_1-L_3=5.48 }[/tex]

So, the answer is 5.48.

Answer:

[tex]5x= 15[/tex]

Step-by-step explanation:

Given

[tex]3x - 5 = -2x +10[/tex]

Required

Write the variables and constants on different sides

[tex]3x - 5 = -2x +10[/tex]

Add 2x to both sides

[tex]2x + 3x - 5 =2x -2x +10[/tex]

[tex]5x - 5 =10[/tex]

Add 5 to both sides

[tex]5x - 5 + 5 = 10 + 5[/tex]

[tex]5x= 10 + 5[/tex]

[tex]5x= 15[/tex]

Hence, the equation is

[tex]5x= 15[/tex]

Solving further [divide both sides by 5]

[tex]x = 3[/tex]

I think it is -5=x

Step-by-step explanation:

Answer:

hundred thousands

Step-by-step explanation:

You would move it to the left one place, so it would be the hundred thousands place.

Answer: The answer is hundred thousands place.

Step-by-step explanation: The question is wanting you to name the space the 8 is in. So 10's, 100's, 1000's and so on. But in this case an 8 in the hundred thousand's place has 10 times more value then an 8 in the ten thousand's place.

Answer:

The first one is a linear function with the slope of 3 with no shift. the second is a vertical line on the 2 of the x axis. the third is a horizontal line on the -3 of the y axis.

Answer:

We have this equation:

[tex]3(y+3)+7(2y-8)-(y-1)=0​[/tex]

First, we do the parenthesis:

[tex]3y+9+14y-56-(y-1)=0\\[/tex]

When there is a minus (-) in front of a parenthesis, all signs change inside it:

[tex]3y+9+14y-56-y+1)=0\\[/tex]

Now we operate:

[tex]16y-46=0[/tex]

We add 46 on both sides:

[tex]16y - 46 + 46 = 0 +46[/tex]

[tex]16y = 46[/tex]

And divide 16 on both sides:

[tex]\frac{16y}{16}=\frac{46}{16}[/tex]

[tex]\bol{x = \frac{46}{16}}[/tex] = [tex]\frac{23}{8}[/tex]

Answer:

Step-by-step explanation:

3(y+3)+7(2y-8)-(y-1)=0​

3y + 9 + 14y - 56 - y + 1 = 0

16y - 46 = 0

16y - 46 + 46 = 0 + 46

16y = 46

16y/16 = 46/16

y = 23/8

Answer:

c.) 20%

Step-by-step explanation:

•1/3 chnace of picking Strawberry flavor

•2/3 chance of picking a milkshake or cone serving

(1/3)*(2/3)=2/9=0.222...(approx.)=0.20=20%

Edit for more clarification:

If you have a situation where multiple outcomes are favorable ("or" statements) then you add the odds together. The customer here wouldn't have minded a milkshake or a cone, so we add their odds together to get 2/3.

If you have a situation where a specific combination of outcomes is favorable ("and" statements) then we multiply the odds. The customer would be getting a flavor and a type of serving, so we multiply the odds of each combination together.

(Note that this is technically a simplified version of the general formulas/equations for probabilities so if you go look them up on the internet they might include some other ideas.)

Answer:C

Step-by-step explanation:

quiz says it was right

Answer:

The elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet

Step-by-step explanation:

Let every 1,000 feet of elevation be [tex]x[/tex]. Hence, we can write

[tex]T = 212[/tex] [tex]- 1.72x[/tex]

Where [tex]T[/tex] is the boiling temperature of water at different elevations

Now, to the determine the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex].

We will determine [tex]x[/tex] by putting [tex]T = 190[/tex] °[tex]F[/tex].

Hence,

[tex]T = 212[/tex] [tex]- 1.72x[/tex]

[tex]190[/tex]  [tex]= 212[/tex]  [tex]- 1.72x[/tex]

[tex]190 - 212[/tex]    [tex]= - 1.72x[/tex]

[tex]- 22[/tex]  [tex]= - 1.72x[/tex]

[tex]22 = 1.72x\\x = \frac{22}{1.72} \\x = 12.79070[/tex]

Since [tex]x[/tex] represents every 1,000 feet of elevation, then the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex]

[tex]12.79070[/tex] × [tex]1000\\[/tex] [tex]= 12790.70[/tex] feet

Hence,  the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet