Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

This deals with negative exponents.

[tex]x^{-2}=\frac{1}{x^2}[/tex]

27 and 9 are both powers of 3, so we need to find a way to make both of these into a base 3.

9 is easy, thats just:

[tex]9=3\times3=3^2[/tex]

1/27 is a little more difficult. Start with 27:

[tex]27=9\times3=3\times3\times3=3^3[/tex]

and because its a 1/27, that exponent has to be negative.

[tex]3^3=27\\3^-^3=\frac{1}{27}[/tex]

Now we can get both of them to base 3, so do that in the given equation:

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

Same as last time, the bases can be canceled out as the exponents have to be equal for this equation to be true.

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

Finally, solve for x:

[tex]-3(4-x)=2(2x-1)\\-12+3x=4x-2\\-10+3x=4x\\x=-10[/tex]

The solution of the given equation is (3,6). The correct option is B.(3,6)

[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]

putting the value of y from equation (1) in equation (2) , we get

[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]

substitute the value of x=3 in equation (1) we get,

[tex]y=3+3\\y=6[/tex]

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

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Answer:

1 ft=18 in or 1ft=11in

Step-by-step explanation:

:D

Answer:

If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault

School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)

Answer:

160 servings

Step-by-step explanation:

Step One:

1 gallon=16 cups

1 cup=10 servings

Step Two:

Multiply 16 by 10

which gives you your answer 160

Equation Form:

w x 2 [tex]\geq[/tex] 19

Divide both sides by 2:

w [tex]\geq[/tex] 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

Hello! :p

Original: 8+3x=-9y

standard form:  3x + 9y = -8

I hope this helps! Have a wonderful day! :)

Answer:

hope it helps have a great day

Answer is option C

Julio's down payment was 22.08% of the purchase price.

Given that Julio just bought a $ 267,900 house, and he had a 20 year mortgage with a fixed rate of 5.875%, and Julio's monthly payments are $ 1,558, to determine what percent of the purchase price was Julio's down payment the following calculation must be performed:

(267,900 x 1.05875) - (1558 x 12 x 20) = X

582,682.50 - 373,920 = X

208,762.50 = X  

267,900 = 100

208,762.50 = X

208,762.50 x 100 / 267,900

77.92 = X

100 - 77.92 = 22.08

Therefore, Julio's down payment was 22.08% of the purchase price.

Learn more about maths in https://brainly.com/question/25917920

Answer:

1. 550 miles

2. $103

Step-by-step explanation:

y = total rental cost

m = initial fee

x = cost per mile

n = number of miles

Plan 1: y = m + xn = 59 + 0.08n

Plan 2: y = m +xn = 48 + 0.10n

Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550

Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103

Answer:

488

Step-by-step explanation:

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

      = (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²

     = 20 - 18 = 2 ( take square root of both sides )

BD = [tex]\sqrt{2}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²

Answer: 871195

Step-by-step explanation:

Pilar climb 6.5 feet and Jake climbed 9.5 feet.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

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#SPJ5

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

Reasons:

The data in the table are presented as follows;

[tex]\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right][/tex]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ $24

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Answer:

$24 or D, Hope this helps :D

Step-by-step explanation:

Answer:

XD   [tex]\frac{1}{12}[/tex] is the answer.

Step-by-step explanation:

So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.

Hopes This Helps

Answer:

eight years

Step-by-step explanation:

at year one: nabisco 30k and keebler: 36k

year two: nabisco: 33k and keebler: 38k

year three: nabisco: 36k and keebler: 40k

year four: nabisco: 39k and keebler: 42k

year five: nabisco: 42k and keeber: 44k

year six: nabisco: 45k and keebler 46k

year seven: nabisco: 48k and keeber 48k

year eight: nabisco: 51k and keebler 50k

Answer:

REFER TO ATTACHEMENT

13

x=15

because of the other one is the only thing

Answer:

-9 and +4 are the factors

Step-by-step explanation:

-9 times +4 is -36 and if you add +4 to -9, you get -5.

After this your function will look like this:

[tex]x^2-9x+4x-36[/tex]

and then:

[tex]x(x-9)+4(x-9)[/tex]

so the answer is:

[tex](x-9)(x+4)[/tex]

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

Not a quadratic function.

Step-by-step explanation:

A function is a relation wherein each input or x-value corresponds exactly to an output or y-value.  In other words, a relation is a function if there are no repeating x-values.  

A way to determine whether a given graph represents a function is to perform the Vertical Line Test.  Using the Vertical Line Test, we must draw vertical lines across the graph.  If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.  

⇒  The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1.   Hence, the given horizontal parabola is not a quadratic function.

The given graph represents a horizontal (or sideways) parabola.

The vertex form of the horizontal parabola is: x = a(y - k)² + h.  

where:

a = Determines the direction of the graph's opening.

y = k is the horizontal axis of symmetry

k = determines the vertical translation of the graph

h = determines the horizontal translation of the graph

The vertex of the given graph occurs at the point of origin, (0, 0).

Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :

x = a(y - k)² + h

1 = a(1 - 0)² + 0

1 = a( 1 )²

1 = a

Equation of the given horizontal parabola in vertex form:  

      ⇒     x = (y - 0)² + 0  or  x = y²

It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.

                          x = 1 has two y-values: y = -1, and y = 1.

                           x = 4 has two y-values: y = -2, and y = 2.

Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.  

Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Answer:

the value of ST is 2 of its x is 2

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

Work Shown:

1 inch : 7 feet

5*(1 inch) : 5*(7 feet)

5 inches : 35 feet

5 inches on paper correspond to 35 feet in the actual house.

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

Answer:

  35/132

Step-by-step explanation:

The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...

  (7/12)(5/11) = 35/132 . . . P(b=P&g=VP)

__

We can also look at this another way.

The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.

_____

Additional comment

These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.