Write the function in standard form.
f(x) = - 3(x - 7)2 + 15

Answer:

16, 5, 28

Step-by-step explanation:

1 liter is equal to 4 servings

Answer:

She made $105.75 working as a waitress

She made $367.50 working as a maths tutor

Step-by-step explanation:

Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress.

Hence, the number of hours worked as a maths tutor =

30 - 9

= 21 hours

When she works as a waitress she receives $11.75 per hour

Hence, $11.75 × 9 hours

= $105.75

Hence, she made $105.75 working as a waitress

When she works as a math tutor she received $ 17.50 per hour.

$17.50 × 21 hours

$367.50

Hence, she made $367.50 working as a waitress

Answer: The probability of Dana selecting a hockey card will be a 4/36 or 1/9.

Work:

1.I added all of the cards together.

2.I saw that the number of hockey cards was 4 and divided it by 36 (the total number of cards)

3.Simplified

Answer:

it will be shrunk by a factor of 0.8

Step-by-step explanation:

i just got it right

The parent absolute value function will be contract by factor 0.8.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.

We have,

f(x) = 0.8 |x|

We know the 0.8 represent the scale factor which leads to dilation.

As, 0.8 < 1 then it means that the figure is going to be contract or smaller than original figure.

Thus, the Function will be contract by factor 0.8

Learn more about Dilation here:

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is C

Step-by-step explanation:

From the question we are told that

  The sample  size for  Math SAT is  [tex]n_1 = 28[/tex]

   The  sample  size for  Verbal  SAT  is  [tex]n_2 = 25[/tex]

Generally the test statistics is mathematically represented as

 [tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

substituting  668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for  [tex] \sigma_1^2[/tex] , 6944.827 for  [tex]\sigma_2^2[/tex]

So

     [tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]  

=>   [tex]t =  1.627[/tex]

Answer:

C. x - y = 0

Step-by-step explanation:

Step 1: find the slope (m) and y-intercept (b) of the graphed line.

Using the two points on the line (0, 0) and (2, 2),

Slope = [tex] \frac{rise}{run} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]

The y-intercept (b) is the point at which the line intercepts the y-axis. Therefore, the y-intercept (b) = 0

Step 2: Generate an equation for the line in slope-intercept form using b = 0 and m = 1.

Substitute m = 1 and b = 0 into y = mx + b

y = 1(x) + 0

y = x

Step 3: rewrite the equation from slope-intercept form to standard form.

To express I'm standard form, take all terms with coefficient to the left, and leave the constant on the right side of the equation.

y = x

Subtract y from both sides

y - y = x - y

0 = x - y

x - y = 0

Answer:

g+14=64

Step-by-step explanation:

Answer:

64=14+g

Step-by-step explanation:

Sum of two numbers is 64, so that means you put 64 before the equals sign. All that remains is g and 14. It says the sum of 14 and g (gregs height) equals 64, so you know that in the equation they have to be added together.

Answer:

x=24

Step-by-step explanation:

HE= 1/3(HG)

x-3=1/3(4x-15)

3x-9=4x-15

-x=-24

x=24

Answer:

HE=3

Step-by-step explanation:

Equations

With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.

Data:

HE=1/3 HG

HE=x-3

HG=4x-15

Replacing the last two equations in the first:

x-3=1/3(4x-15)

Multiply both sides by 3:

3(x-3)=4x-15

Operate:

3x-9=4x-15

Moving x's to the left and numbers to the right:

3x-4x=-15+9

Joining like terms:

-x=-6

Multiply by -1:

x=6

Since HE= x-3:

HE=6-3

HE=3

Answer:

Step-by-step explanation:

N=503

P=0.7

Sqrt(503×0.7(1-0.7))=10.28

The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.

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

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

We have:

The value of n = 503

The value of p = 0.7

For the binomial distribution:

As we know,

The formula for the standard deviation:

σ = √[p(1 - p)n]

Plug the values of p, and n, we get:

σ = √[0.7(1 - 0.7)503]

σ = √[0.7(0.3)503]

σ = √[0.21x503]

σ = √[105.63]

σ = 10.277 ≈ 10.28

Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.

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Given parameters:

Length of the suitcase  = 24 inches

Length of the diagonal = 30 inches

Unknown:

Length of zipper required to cover the perimeter  = ?

The length of this zipper is the same as the perimeter of the rectangular suitcase.

  Perimeter of a rectangle  = 2(L + B)

where L is the length and B is the breadth

Now, let us find the find the unknown breadth;

  Using Pythagoras theorem;

           30²  = 24² + Breadth²

            Breadth²  = 30² - 24²  = 324

             Breadth = √324  = 18 inches

Perimeter of the suitcase  = 2(24 + 18)  = 84 inches.

The length of zipper that will cover this suitcase is 84inches.

Answer:

4 5/8"

Step-by-step explanation:

quizlet will have all the answers btw

Answer:

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole

Answer:

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

Answer:

ITS B

Step-by-step explanation:

HOPEFULLY THIS WORKS!!!

idek dwjejdjjriiwknansns

Step-by-step explanation:

nmjwjw

Answer:  No solutions.

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

Work Shown:

4c + 5 < 4c + 3

4c+5-4c < 4c+3-4c ... subtract 4c from both sides

4c-4c+5 < 4c-4c+3

0c+5 < 0c+3

0+5 < 0+3

5 < 3 ... statement is false

Since that statement is false, this means the original inequality is false regardless of what you pick for c.

There are no solutions.

Answer: True

Explanation: The domain of a quadratic function in standard format is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

Linear function is almost always going to be all real numbers. The range of a non-horizontal linear function is all real numbers no matter how flat the slope might look.

Answer:

Step-by-step explanation:

Least to greatest:

7.083, 7.2, 7.21

Greatest to least:

7.2, 7.2, 7.083

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

Answer:

B

Explanation: dont got one

Answer:

5 and 6 or 25 and 36

Step-by-step explanation:

Answer:

10,955,072,115

Step-by-step explanation:

As we can see it's right angle triangle

so:

Answer:

16

Step-by-step explanation:

5x + 2y - 7z    

(x = 2, y = 10, z = 2)

First things first you would want to take the letters that the numbers are equal to and replace them with the numbers.

5(2) + 2(10) - 7(2)

Then you multiply the number that's beside the parentheses, 5(2) is the same as 5 x 2.

5(2) = 10

2(10) = 20

7(2) = 14

so now you have

10 + 20 - 14

10 + 20 = 30

30 - 14 = 16

and 16 is your final answer!

Answer:

The answer is 3 and 5

Step-by-step explanation:

3 and 5 is 15 (correct)

10 and 25 is 250 (not correct)

30 and 60 is 1800 (not correct)

60 and 75 is 450 (not correct)

Answer:

Step-by-step explanation:

Trapezoid 1 with vertices

and

Trapezoid 2 with vertices

It can be observed by comparison that:

and

So the rule of translation is:

Answer:

Step-by-step explanation:

another way is by graphing. (see attached)

the translation is:

   3 units right, 2 units down.

or (x, y) = (x + 3, y - 2)

Answer:

2\3x60=40

3\5x20=12

12+40=52

60-52=8

Answer:

x=1.6

y=4.8

z=9

Step-by-step explanation:

Answer:

X=12.5

Y=3.2

Z=6

Step-by-step explanation:

Answer:

1st picture: (0,4)

The lines intersect at point (0,4).

2nd picture: Graph D

2x ≥ y - 1

2x - 5y ≤ 10

Set these inequalities up in standard form.

y ≤ 2x + 1

-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2

When you divide by a negative number, you switch the inequality sign.

Now you have:

y ≤ 2x + 1

y ≥ 2/5x - 2

Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).

In this case, it is all of them.

Next, you would look at the shaded regions.

The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.

That would mean Graph B or D.

Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.

Answer:

  A) (-4, 1)

  B) graph C

Step-by-step explanation:

A) The point that is in the doubly-shaded area is the solution. The point at (0, 4) is on the dashed line, so is NOT a solution. See the first attachment.

__

B) Look at the given inequalities. You are looking for two things:

Here, you can identify which line goes with which equation a couple of ways. One way is to look at the x- or y-intercept. To find the x-intercept, set y=0 and solve for x. For the first equation, that gives ...

  2x ≥ -1

  x ≥ -1/2

The steep line, the one that intersects the top of the graph, is the one that has an x-intercept at x = -1/2. You will also note that the solution x ≥ -1/2 means the shading is to the right of that line. (Only graphs C and D have shading to the right of that line.)

For determining which side of the line is shaded, it is useful to pick a variable term with a positive coefficient. For the second inequality, that is 2x. Considering only that term and the relationship in the inequality, we see that we have 2x ≤. This means values of x that are in the solution set are less than (or equal to) those on the boundary line. In other words, shading is to the left of the line with the shallow slope. This is true only for graphs A and C. We have already eliminated graph A, so the desired graph is C.

See the second attachment for what we're talking about here.

Answer:

9:5

ratios are just putting the numbers next to each other with ':' in the middle

Step-by-step explanation: