The function y = x2 + 3 is a transformation of the function y = x2. How is the y-intercept of the function affected by the transformation?

The y-intercept of the graph of y = x2 is shifted down 3 units.
The y-intercept of the graph of y = x2 is shifted to the left 3 units.
The y-intercept of the graph of y = x2 is shifted to the right 3 units.
The y-intercept of the graph of y = x2 is shifted up 3 units.
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Answer on Edmentum is:

The y-intercept of the graph of y = x2 is shifted up 3 units.

Explanation:
The graph of a function in the form y = f(x) + k is the graph of f shifted up k units. The graph of y = x2 + 3 is the graph of y = x2 shifted 3 units up, so the y-intercept of the graph of y = x2 is shifted up 3 units.

Answer:

  x = 2

  m = 15/4

  a = 5/4

Step-by-step explanation:

When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.

We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.

  x/3 = 2/3   ⇒   x = 2

__

The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...

  a/3 = 5/(3+6+3) = 5/12   ⇒   a = 5/4 = 1 1/4 . . . . . multiply by 3

and

  m/(6+3) = 5/12   ⇒   m = 15/4 = 3 3/4 . . . . . multiply by 9

__

  x = 2

  m = 15/4

  a = 5/4

Division is one of the four fundamental arithmetic operations. Iko paid for 11 months.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Iko paid $176 total for a premium streaming video service that costs $16 per month. Therefore,

The total amount Iko paid  = $176

The amount paid per month = $16

The number of months to pay $176

= 176 / 16

= 11

This means Iko paid for 11 months.

Thus, Iko paid for 11 months.

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Answer:

Step-by-step explanation:

If 60% failed then 40% passed

.4n=500

n=1250 so there are 1250 candidates of which

.6(1250)=750 failed

So 750 candidates failed.

Answer:

i'd say at least 2 waffle irons on the floor

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

im still typing becausei have to

The amount of sugar, in ounces, that is needed to make 28 ounces of hummingbird nectar is 7 ounces.

Hummingbird nectar is said to be made by using a ratio of 1 part sugar to 3 parts water. For every 1 ounce of sugar therefore, there would be 3 ounces of water.

Put together, this would give 4 ounces. And the percentage of sugar in this 4 ounces would be:

= 1 / 4

= 25 %

If 28 ounces of hummingbird nectar needed to be made, the sugar needed is :

= Percentage of sugar x Ounces of hummingbird nectar

= 25 % x 28

= 7 ounces of sugar

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The best way to determine percent interests is by using the simple interest formula which is given below:

S.I = Principal × Rate × Time / 100.

This is defined as the cost of borrowing money and does not include the effect of compounding.

We can get the percent interest from the simple interest formula.

Interest Rate = (Simple Interest × 100)/(Principal × Time).

This is therefore the best way to determine percent interests and is therefore the most appropriate choice.

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For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

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Answer:

50%

Step-by-step explanation:

35/70 = 50%

Answer:

debe ser 30 porque la distancia entre 70 y 35 es 40.

Step-by-step explanation:

70 - 35 = 35

The correct answer is to Apply names in the spreadsheet.

A spreadsheet's chosen cells are referred to as a range. It is an adjacent range if the cells are arranged in a rectangle or square pattern. The cell reference in the top left and bottom right corners of the selection, separated by a colon, indicates a contiguous range. (For instance, A3:B5) In this case, all cells at the rectangle created by starting the highlighting in cell A3 and dragging down to cell B5 would be included in the range. The colon can be seen as the word "through." Cells A3 through B5 would be included in the range in this instance.

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Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Answer: 12

Step-by-step explanation:

With respect to the linear function, the monthly cost for 68 minutes of calls is $19.28 if 51 minutes and 95 minutes cost $17.24 and $22.52 respectively.

The slope of the cost function which is the same as the variable charge per minute of call is determined by:

(the total costs of the highest activity - the total cost at the lowest activity) /the difference between the number of call minutes slope (cost per minute)

= ($22.52-$17.24)/(95-51)

Slope (cost per minute) =$0.12y

=a+bxy

=total cost

=$22.52

Note that:

a = fixed charge = unknown

b = slope = $0.12x = number of minutes = 9522.52

= a+(0.12*95)22.52

= a+11.40a =22.52-11.40a

=11.12y

= 11.12+0.12x

when x = 68y

= 11.12+(0.12*68)y

= total cost for 68n minutes

=$19.28

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The monthly cost for 68 minutes of calls is $19.28

What is the equation of straight-line?

The equation of straight-line considers the fixed charge of using phone plan per month plus the total variable cost of minutes of call, I mean the cost per minute of the plan can be determined by computing the slope of the straight-line equation

slope=(total cost for 95 minutes-total cost of 51 minutes)/(95-51)

total cost for 95 minutes=$22.52

total cost of 51 minutes=$17.24

slope=($22.52-$17.24)/(95-51)

slope= variable cost per minute=$0.12

We can determine the fixed charge per month using the straight-line equation and cost for 95 minutes

y=a+bx

y=total cost=$22.52

a=fixed charge per month=unknown

b=cost per minute=$0.12

x=number of minutes=95

$22.52=a+($0,12*95)

$22.52=a+$11.40

a=$22.52-$11.40

a=$11.12

total cost(68 minutes)=a+bx

a=$11.12

b=$0.12

x=68

total cost=$11.12+($0.12*68)

total cost=$19.28

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Answer:

350,000 add ten more zeros

Step-by-step explanation:

350,000¹⁰ 350,000 000,0000

Answer:

The expression $11.75x + $20 represents the total price for the order, including delivery to the school.

In this expression, 'x' represents the number of boxes of paints being purchased, and $11.75 represents the cost of each box. The term $11.75x represents the total cost of the boxes of paints based on the number of boxes being purchased.

The term $20 represents the delivery cost to the school, which is added to the total cost of the boxes of paints.

By multiplying the cost per box ($11.75) by the number of boxes (x) and adding the delivery cost ($20), you can calculate the total price for the order, including delivery.

Answer:

4750

Step-by-step explanation:

you add the equation together and find the answer

Answer: 4500 and 250 = 4750

Step-by-step explanation: 10 to the power of 3 is 1000 because it’s 10x10x10 and if you multiply it by 4.5 it’s 4500 and then 10 times 10 is 100 times 2.5 is 250. And because we’re looking for the sum it wants the total so 4500 plus 250 is 4750

Answer:

They are perpendicular

Step-by-step explanation:

the first graph has 1/3 as its slope.

The inverse of 1/3 is the negative reciprocal, or -3/1, which is the same as -3.

Thus, as the second graph’s slope is -3, it is the inverse of the first graphs slope, which means the two graphs represent lines which are perpendicular to each other.

Answer:

A=πr^2

=3.142×(0.168)^2

=3.142×0.028224

=0.088679808

=0.0887m^2

or

=8.87×10^-2m^2

Step-by-step explanation:

This question is asking the area on which has to add more cheese. A pizza usually has the shape of a circle and the are of a circle is πr^2 . You'd have to multiply the value of π by the radius of the pizza (7 inches=0.168 metres)

Answer:

8=41

7=49

10=41

9=49

Step-by-step explanation:

angle 8 is given and since 7 and 8 make 90 then 7 =49 because 90-41=49. 10 and 8 are the same size (at least it looks like it) therefore 7 and 9 are the same too. So that is how I got the answers.

Answer:

Refer to step-by-step

Step-by-step explanation:

Prove the following, \(\lim_{x \to \ 2} 2^{x}=4\), \(\lim_{z \to \ -1} 3^{x}=\frac{1}{3}\), and \(\lim_{x \to \ 1} e^{x-1} = 1\).

For part f:

Plug in the value of the limit, 2,

\((2)^{2} =4\)

Thus we proved the limit.

For part g:

Plug in the value of the limit, -1,

\(3^{(-1)}\)=>\(3^{-1}\)=>\(\frac{1}{3^{1} }=\frac{1}{3}\)

Thus we proved the limit.

For part h:

Plug in the value of the limit, 1,

\(e^{(1)-1}\)=>\(e^{1-1}\)=>\(e^{0}=1\)

Thus we proved the limit.

Answer:

Step-by-step explanation:

20 = 8x + 4r can be rewritten in multiple ways.

1.  Reduce the coefficients:  5 = 2x + r

or

2.  Solve for r:  r = 5 - 2x

or

                                 5 - r

3.  Solve for x:  x = -----------

                                    2

By using the division property of equality we can divide both sides by -12 to get the solution x = -4

An equation:

A = B

Says that the number A is equal to the number B, so basically, are the same number.

So, if we divide both A and B by the same number C, we will get:

A/C and B/C

And A and B are the same numbers, then A/C and B/C also are the same numbers.

So in an equation, we can divide both sides by the same number (except 0) and the equation will not change.

In this case we have:

-12*x = 48

We could divide both sides by -12, so we will get:

-12*x/-12 = 48/-12

x*(-12/-12) = -4

x = -4

And thus we used the division property of equality to solve the equation.

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Answer: 5,000

Step-by-step explanation:

Hey there!

\(Answer:\boxed{5,000}\)

\(Explanation:\)

Let's review the place value so we know how we got our answer.

7(70,000) 5(5,000), 9(900) 8(80) 4(04)

The one we are looking for is the place value of 5. The number 5 is in the thousands place. So now we have our answer!

\(\boxed{5,000}\text{ is the answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

Yes (1, 9) is a solution

Step-by-step explanation:

Plug in 9 for y and 1 for x.   (x, y) = (1, 9)

y = 5x + 4

9 = 5 (1) + 4

9 = 9     true

y = 2x + 7

9 = 2(1) + 7

9 = 9   true

Answer:

25.12 inches

Step-by-step explanation:

To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.

Answer is 4 times 2 times 3.14 which is 25.12