find the soluations to (x+3)^2=49

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Explanation:

If we were to keep the red curve completely fixed, but we moved the xy axis four units to the left, then this would give the illusion the red curve is moving four units to the right to arrive at the blue curve's location.

Shifting the xy axis four units to the left is the same as subtracting 4 from each initial input x value. So we go from x to x-4.

The parent function f(x) = x^2 then becomes g(x) = (x-4)^2 which is choice C.

As one way to check, plug in x = 4 and you should find that g(4) = 0. This is the x intercept of the blue curve. Something like g(x) = (x+4)^2 does not work because plugging x = 4 into this leads to g(x) = 64, so that rules out choice A. You can eliminate choices B and D for similar reasoning as well.

Answer:

C.) G(x) = ( x-4 )^2

Step-by-step explanation:

Took the test

Answer: Monica

Step-by-step explanation:

Given

Monica has a 20% chance of winning a prize

Brianne has a  [tex]\frac{1}{10}[/tex] chance of winning a prize

20% chance refers to

[tex]\dfrac{20}{100}=\dfrac{2}{10}[/tex]

As

[tex]\dfrac{2}{10}>\dfrac{1}{10}[/tex]

therefore, monica is more likely to win the prize.

Answer:

300

Step-by-step explanation:

6 × 10¹ ÷ 2 × 10-¹

= 300

no of aluminium is 300 times more than that of gold

Step-by-step explanation:

y2-y1/x2-x1

is how you can find the slope

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for complete question

First, we determine the cost function for all the three rides.

Ride A

From the graph, we have the following points

[tex](x_1,y_1) = (0,8)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Calculate slope

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

[tex]m = \frac{12-8}{2-0}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m =2[/tex] --- This represents the rate per ride

The equation is the calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 2(x - 0) + 8[/tex]

[tex]y = 2(x) + 8[/tex]

[tex]y = 2x + 8[/tex]

So, the cost function is:

[tex]C(x) =2x + 8[/tex]

Calculate the cost of admission i.e. x=0

[tex]C(0) = 2*0+8 = 8[/tex]

So, we have:

[tex]C(0) = 8[/tex] --- Admission Charge

[tex]C(x) =2x + 8[/tex] --- Cost function

[tex]m =2[/tex] --- Rate per ride

Ride B

From the table, we have the following points

[tex](x_1,y_1) = (0,12)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

Calculate slope

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

[tex]m = \frac{15-12}{4-0}[/tex]

[tex]m = \frac{3}{4}[/tex]

[tex]m = 0.75[/tex] --- This represents the rate per ride

The equation is the calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 0.75(x - 0) + 12[/tex]

[tex]y = 0.75(x) + 12[/tex]

[tex]y = 0.75x + 12[/tex]

So, the cost function is:

[tex]C(x) = 0.75x + 12[/tex]

Calculate the cost of admission i.e. x=0

[tex]C(0) = 0.75*0 + 12=12[/tex]

So, we have:

[tex]C(0) =12[/tex] --- Admission Charge

[tex]C(x) = 0.75x + 12[/tex] --- Cost function

[tex]m = 0.75[/tex] --- Rate per ride

Ride C

No additional fee;

So, the cost function is;

[tex]C(x) = 30[/tex]

In summary, we have:

Ride A

[tex]C(x) =2x + 8[/tex] --- Cost function

[tex]m =2[/tex] --- Rate per ride

Ride B

[tex]C(x) = 0.75x + 12[/tex] --- Cost function

[tex]m = 0.75[/tex] --- Rate per ride

Ride C

[tex]C(x) = 30[/tex] --- Cost function

By comparison

Ride A has the highest rate per ride of (#2), followed by ride B with a rate  of #0.75 per ride.

Ride C has no charges per ride

The impact on the total cost is that:

Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take

Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take

For A and B, the overall cost depends on the number of rides taken.

Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30

5. 153.86

4. 43.96

have an amazing day <3

Answer:

121

Step-by-step explanation:

EDG 21

Answer:

121

Step-by-step explanation:

Should be 6^3.

Have a good day!

Answer:

1,920 words

Step-by-step explanation:

60 divided by 4 is 15

15 times 128 is 1,920.

Hope it helps! :)

Answer:

1920

Step-by-step explanation:

We know that it takes her 4 minutes to type 128 words

So we need to figure out how many it takes her to type a word per minute

128 divided by 4=32

So multiply 32 word by 60 ( 60 mins = an hour)

Answer=1920

Answer:

x > 9.

Step-by-step explanation:

Here it is just simplifying the inequality.

6 - 2/3x < x - 9

Add 2/3x to both sides.

6 < 5/3x - 9

Add 9 to both sides.

15 < 5/3x

Multiply by 3/5.

9 < x

Flip it.

x > 9.

Answer:

x > 9

Step-by-step explanation:

I think I think I think I think

Answer:

5x-27y=-2

Step-by-step explanation:

-2x+7x=5x

y-3y=-27y

0-2=-2

5x-27y=-2

Answer:

9 gal

Step-by-step explanation:

Answer:

m<ACB=1/2 of m<AOB

so m<ACB=45⁰÷2

m<ACB=22.5⁰

I HOPE IT HELPS HAVE NICE DAY!

Answer:

m<ACB=22.5° [as inscribed angle is half to the central angle]

Answer:

18

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

6x = 144 - 36

6x = 108

x = 18

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{v} \huge\mathfrak\green{e} \huge\mathfrak\pink{d}\huge\mathfrak\orange{➔}\ [/tex][tex]2 + 2 = 4[/tex]

Answer:

[tex]( + 4h) {}^{2} \\ when \: h \: = 0 \\ (4 \times 0) {}^{2} \\ = 0[/tex]

Answer:

4

Step-by-step explanation:

The given equation of circle is:

[tex] (x+2)^2 +(y-3)^2 =4 [/tex]

[tex] (x+2)^2 +(y-3)^2 =2^2 [/tex]

Equating it with:

[tex] (x-h)^2 +(y-k)^2 =r^2 [/tex]

We find:

[tex] r^2=2^2 [/tex]

[tex]\therefore r=2 [/tex]

Radius of the circle = 2 units

Therefore,

Diameter of the circle = 2*2= 4 units

Answer:

x=4

Step-by-step explanation:

the ones on top of each other you are adding together so -10x + -2x equals -12x and -32+-16 equals -48 and -48 divided by -12x equals positive 4

Answer:

Step-by-step explanation:

you can see from the picture that adding 2y and -2y cancels out. So the remaining parts of the equations are

-10x=-32

-2x=-16

add the two together:

-12x=-48

x=4

Answer:

94.5 days

Step-by-step explanation:

We are asked to calculate the time.

The formula to calculate the time for half life =

t = t½ × In (Nt/No)/-In2

t½ = half life = 16 days

No = Initial substance = 120mg

Nt = Amount of substances after time t = 2 mg

t = 16 × In (2/120)/-In2

t = 94.510249529736 days

Approximately = 94.5 days

Therefore, the time it would take for the substance to decay from 120mg to 2 mg is 94.5 days.

Answer:

solution given;

length [l]=8in

breadth [b]=2in

height [h]=12in

we have

the surface area of the prism=2[lb+bh+lh]

=2[8×2+2×12+8×12]=272in²

272in² is your answer

Answer:

3.14

Step-by-step explanation:

area=pi times the square of radius

1^2 = 1 x 3.14=3.14

Answer:

Impuesto= $10.5

Step-by-step explanation:

Dada la siguiente información:

El impuesto sobre ventas de un DVD, de $16.000 es $1.40.

Primero, debemos determinar la tasa porcentual del impiesto:

Tasa impositiva= 1.4/16= 0.0875 = 8.75%

Ahora, el impuesto sobre $120:

Impuesto= 120*0.0875

Impuesto= $10.5

Answer:

It is a rational number.

Step-by-step explanation:

Rational numbers can be represented as a ratio/fraction. So whole numbers are rational with a denominator of 1.

This number can be written as 177/100. It is rational.

Answer:

there should be a "paper clip" sign

Step-by-step explanation:

then go to it click it and pick or take a photo

Answer:

sorry i dont know.

Step-by-step explanation:

Answer:

2.7cm

Step-by-step explanation:

11.016cm^3  = 3.4 x 1.2 x H

3.4x1.2=4.08

11.016/4.08 = 2.7

11.016cm^3 = 3.4 x 1.2 x 2.7

Answer:

I worked it out and got 19339.64 but there is a high chance I could be wrong so maybe your right.