The parabola y=[tex]x^{2}[/tex] is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola?

Answer:

Option B

Step-by-step explanation:

The complete question is

The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical

Solution

After 1 year the salary of delivery boy will be

[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]

Salary of delivery boy after 2nd year =

[tex]36050 + 36050*0.3 = 37131.5[/tex]

Salary after 3rd year

[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]

The growth in salary is linear as depicted from the values obtained.

Hence, option B is correct

Answer:

Part A

The system of equations are;

x = y/18

x + 1/6 = y/13

Part B

13/30 hours

Step-by-step explanation:

The path on which Anita is riding = The path on which Brad is riding

The point at which Anita starts riding = The start of the park

The rate at which Anita is riding = 18 miles per hour

The time at which Bras began = 10 minutes ahead of Anita

The rate at which Brad is riding = 13 miles per hour

Part A

Let 'x' represent the number of hours it takes Anita and Brad to travel 'y' miles along the path, we have;

The 'x' number of hours it takes Anita to travel 'y' miles is given as follows;

x = y/18

For Brad, we have;

10 minutes = 1/6 of an hour

The 'x'' number of hours it takes Brad to travel 'y' miles is given as follows;

x' = y/13

The duration Brad has traveled, when Anita has traveled for 'x'' hours = x + 1/6 hour

x' = x + 1/6

∴ x + 1/6 = y/13

Part B

Therefore, to travel the same 'y' mile as Anita , we have;

x + 1/6 = y/13

y = 13 × (x + 1/6) = 13·x + 13/6

y = 13·x + 13/6

For Anita, we had; x = y/18

∴ y = x × 18 = 18·x

Equating both y-values gives;

y = y

∴ 13·x + 13/6 = 18·x

18·x - 13·x = 5·x = 13/6

x = 13/(5 × 6) = 13/30 hours

The number of hours it will take Anita and Brad to meet on the path = 13/30 hours (equivalent to 13/30 hour × 60 minutes/hour = 26 minutes)

Answer: a) no. The p value of the appropriate test is greater than 0.05

Step-by-step explanation:

The statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Sample size n = 400 teachers

Sample mean X = 12.5 hours

Standard deviation S = 6.5 hours

Population mean u = 13 hours

Null hypothesis H0: u = 13

Alternativ hypothesis u <13

T-test:

[tex]\rm t = \frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]

[tex]\rm t = \frac{12.5-13}{\frac{6.5}{\sqrt{400} } }[/tex]

t = -1.5385

Now degree freedom df = n -1  = 400 - 1

df = 399,  α = 0.05

P-value = p[1+t<-1.5385]

P-value = 0.0624

∴ P-value is greater than α because of this the null hypothesis failed.

Thus, the statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

Answer:

42 degrees

Step-by-step explanation:

The measure of the inscribed angle is half of the angle of the measure bc

1/2 * 84 = 42

Answer:

The answer should be 18: 3 x 3 x 2

Answer and Step-by-step explanation:

1.

We are told to give the transformations needed to map the triangle ABC onto the triangle XYZ.

First off, we should move the triangle to the right. We need to have point B of triangle ABC to overlap point Y of triangle XYZ.

Once that is done, we need to do a dilation by scale 1.5. This would perfectly align triangle ABC onto triangle XYZ.

2.

To find the length of XZ, we need to find the dilation factor. Since we know that the triangles are similar, we can divide the bigger side by the little side (though only the sides that correspond).

We will divide side CB by ZY to get the dilation scale factor.

6 divided by 4 equals 1.5.

Now, to find the length, we will divide side CA by 1.5.

21 divided by 1.5 equals 14.

The length of ZY is 14.

#teamtrees #PAW (Plant And Water)

Answer:

1200

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

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Explanation:

Refer to the diagram below. I've added the points A, B, C, D, and E. Point A is the center of the circle while points B, C and D are along the circle's edge. The radius AC and chord BD intersect at point E.

Recall that whenever we have a radius perpendicular to a chord like this, it means that the radius bisects the chord. So that means chord BD is cut into two equal pieces BE and ED. The diagram given to you tells us that ED = x, so BE is also x units long as well. Overall, BD = BE+ED = x+x = 2x units.

Since BE = ED, the arcs formed are congruent as well. Minor arc BC is the same measure as minor arc CD. Both are 45 degrees. They combine to 90 degrees. In turn, this leads to central angle DAB to be 90 degrees.

Note how triangle DAB is an isosceles right triangle. The two equal legs are the two radii AB and AD, both which are 9 units long. The hypotenuse BD is equal to sqrt(2) times the leg length, so BD = 9*sqrt(2) units long.

Earlier I mentioned that BD = 2x also. We'll equate the two right hand side expressions and solve for x like so:

2x = 9*sqrt(2)

x = (9*sqrt(2))/2

x = (9/2)*sqrt(2)

x = 4.5*sqrt(2)

x = 6.36396103067892

That value is approximate. Rounding to the nearest tenth leads to the final answer of 6.4; therefore, the answer is choice A.

Answer:

Ameilia will receive 42 candles.

Step-by-step explanation:

5+7=12

72/12=6

6*7=42

Ameilia will recieve 42 candles.

6*5=30

Amanda will recieve 30 candles.

hope this helped have an amazing day! :)

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

Answer:

18

Step-by-step explanation:

You would have 27 then add 7 subtract 10 and subtract 6 to get 18.

Answer:

Multiply row 1 by [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

[tex]\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Where [tex]a_{11} = 2[/tex], if we need to create [tex]a_{11} = 1[/tex], we need to multiply row 1 by [tex]\frac{1}{2}[/tex], that is to say:

[tex]\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Hence, the correct answer is: Multiply row 1 by [tex]\frac{1}{2}[/tex].

Answer:

Hello! answer: radius is 6

Step-by-step explanation:

It shows that the diameter is 12 the radius is half of that therefore the radius is 6 hope that helps!

Answer:

B. 24 inches of ribbon

Step-by-step explanation:

Since her picture frame is a square we can multiply 6 × 4 to get our answer.

6 × 4 = 24

You can also add.

6 + 6 + 6 + 6 = 24

So, your answer is, B. 24 inches of ribbon.

Have a beautiful day! :)

Answer:

10 median number

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

So, the median is the middle number, so first we have to arrange our numbers in order:

4, 5, 7, 8, 10, 11, 11, 12, 13  

Now, as you can see, the middle number is 10

So the median of the set is 10

hope this helps:)

Answer:

'

Step-by-step explanation:

'

Answer:

Option A that is best describes the given scenario is option A that is “LaTricia is not correct. The word product does mean to multiply, but 12 should be the product and 3 should be one of the factors.”

Step-by-step explanation:

Given that LaTricia wrote a sentence as an equation.  Given sentence is “Twelve is the product of three and a number”

Expression written by LaTricia =

Lets first concentrate on sentence and we will create our expression based on sentence and check it against the expression created by LaTricia.  Let the number represented by variable w.

So product of 3 and the number will be represented by

And as Twelve is the product of three and a number

That is three is one of the factor and result product is 12. Hence option A that is best describes the given scenario is option A that is “LaTricia is not correct. The word product does mean to multiply, but 12 should be the product and 3 should be one of the factors.”

Step-by-step explanation:

3. a & d

4. b

5. d

-----------

Answer: See the image below for the filled out table.

The other root is x = -2

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Explanation:

The turning point is at (1, -45) which is the vertex. This is where the graph goes downhill, and then turns around to go uphill, or vice versa. Depending on the direction, the vertex is the lowest point or the highest point on the parabola.

We have (h,k) = (1,-45) as the vertex, so h = 1 and k = -45

y = a(x-h)^2 + k

y = a(x-1)^2 + (-45)

y = a(x-1)^2 - 45

Now plug in any other point from the table. You cannot pick (1,-45) or else you won't be able to solve for the variable 'a'. Let's go for (0,-40)

We'll plug x = 0 and y = -40 into the equation above to solve for 'a'

y = a(x-1)^2 - 45

-40 = a(0-1)^2 - 45

-40 = a(-1)^2 - 45

-40 = a - 45

a-45 = -40

a = -40+45

a = 5

Therefore, the equation for this parabola is

y = 5(x-1)^2 - 45

As a way to check, we can plug in something like x = -3 to find that...

y = 5(x-1)^2 - 45

y = 5(-3-1)^2 - 45

y = 5(-4)^2 - 45

y = 5(16) - 45

y = 80 - 45

y = 35

Which matches what the table shows in the first column. I'll let you verify the other columns. As you can probably guess at this point, we'll plug in the x values to get the corresponding y values.

So for x = -2, we get...

y = 5(x-1)^2 - 45

y = 5(-2-1)^2 - 45

y = 5(-3)^2 - 45

y = 5(9) - 45

y = 45 - 45

y = 0

The result of 0 here indicates we have a root at x = -2. This is the other x intercept. The x intercept already given to us was x = 4.

The rest of the table is filled out using the same idea. You should get what you see below.

Answer:

[tex]x = \frac{d - b}{a - c} [/tex]

Answer: 3902.4633

Step-by-step explanation: 3902.46 from deltamath

Answer:

$2400

Step-by-step explanation:

Given data

Principal= $6000

Rate= 8%

Simple interest= ???

Time= 5 years

The expression for the simple interest is

Simple interest= PRT/100

Simple interest= 6000*8*5/100

Simple interest= 240000/100

Simple interest= $2400

Hence the simple interest after 5 years is $2400

Answer:

hahah 0x

Step-by-step explanation: