Write the ratio as a unit rate. Simplify. 216 diving student and 12 instructor

Answer:

(fog)(x) = f(x)g(x) = x^2 * 1/x = x

Answer:

300m

Step-by-step explanation:

20 Times 15=300

Answer:

1/7^32

Step-by-step explanation:

when multiplying two bases with different exponents, you keep the base and add the exponents, making the first step of this (7^5)(7^3)=7^8

but when you multiply a base and exponent by just an exponent, you keep the base and multiply the exponents, making the second step 7^8(^-4)=7^-32

you cannot have a negative exponent, and would therefore turn it into a fraction with the base and exponent at the bottom, making your final answer 1/7^32

Answer:

f(6)=2

f(2)=4

f(0)=7

f(5)=1.5

Step-by-step explanation:

Answer:

x = 7/3

Step-by-step explanation:

4x - 2 = x + 3 + 2

4x - 2 = x + 5

Rearranging the terms, we get,

4x - x = 5 + 2

3x = 7

x = 7/3

Hence, x = 7/3.

Answer:

The answer is 120(-3)= -360

Step-by-step explanation:

Apex Learning!

So the answer is the NEGATIVE 360!!

Answer:

120(-3)=-360

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:

Since the points X , Y and Z are collinear:

For the diagram, you just have to draw a line and mark the end-points of the line as X and Z and mark the mid-point of the line as Y

Since we are given that XY = YZ,

We will replace with the provided values:

XY = YZ

4(x + 5) = 2(x + 11)

4x + 20 = 2x + 22

2x = 2

x = 1

Since x = 1 and XY = YZ,

We can say that:

XZ = XY + YZ

XZ = XY + XY   or       XZ = 2XY

Now, replacing the variables for the value of XZ

XZ = 2XY

XZ = 2(4x + 20)

XZ = 2(4 + 20)              (Since x = 1)

XZ = 48 units

Answer:

80

Step-by-step explanation:

The first one is the answer

Answer:

C

Step-by-step explanation:

A, B, and D equal -4, while C equals 4.

A positive number times/divided by a negative number (or vice versa) is a negative number.  A negative number times/divided by a negative number (or vice versa) is a positive number.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 5) and (7, -1)

The distance between them is

[tex]d = \sqrt{ ({ - 3 - 7})^{2} + ({5 + 1})^{2} } \\ = \sqrt{( { - 10})^{2} + {6}^{2} } \\ = \sqrt{100 + 36} \: \: \: \: \: \: \: \\ = \sqrt{136} \\ = 2 \sqrt{34} \\ = 11.66190378...[/tex]

We have the final answer as

Hope this helps you

Answer:

vertical....

Step-by-step explanation:

NawfSide 38 Baby

Answer:

B vertical compression

Step-by-step explanation:

edge :)

Answer:

Time in hours (x) ==> distance in miles (y)

1 ==> 610

2 ==> 1,220

2.5 ==> 1,525

Note: constant of proportionality is same all through = 610

Step-by-step explanation:

Constant of proportionality = [tex] \frac{y}{x} = \frac{915}{1.5} = 610 [/tex]

To get the y-values (miles) for each given x-value (hours), multiply each x-value by the constant of proportionality, 610. Constant of proportionality is same all through.

Thus,

Time in hours (x) ==> distance in miles (y)

1 ==> 1*610 = 610

2 ==> 2*610 = 1,220

2.5 ==> 2.5*610 = 1,525

Answer:

x= 6, -7

Step-by-step explanation:

Answer:

x = 15/8

Step-by-step explanation:

x/3 = 5/8

Using cross products

8x = 3*5

8x = 15

Divide each side by 8

8x/8 = 15/8

x = 15/8

X= 1 7/8

Step-by-step explanation:

Answer:

x= -3 is the answer

UW=3 is the answer..

hope it helps you mate

please mark me as brainliast

Answer:

From the given figure, we can see that the 2 given line segments are equal in length

Hence,

11 + (x - 5) = 2x - 4

6 + 4 = x

x = 10

Now that we know the value of x, we can use it to get the length of the line segment UW

UW = 11 + (x - 5)

UW = 11 + (10 - 5)

UW = 11 + 5

UW = 16 units

csc(2x) + cot(2x) = 1 / sin(2x) + cos(2x) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / (2 sin(x) cos(x))

csc(2x) + cot(2x) = cos²(x) / (sin(x) cos(x))

csc(2x) + cot(2x) = cos(x) / sin(x)

csc(2x) + cot(2x) = cot(x)

Answer:

The quotient is : x+9

The remainder is : 13

Step-by-step explanation:

The question requires you to perform the long division method;

This will be;

[tex]x-2\sqrt{x^2+7x-5}[/tex]

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;

x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x

    -  x²-2x+0 ------------perform subtraction of like terms

---------------------

            9x-5  ----now divide this answer by x-2 ,starting with x and 9x

----------------------This will give , 9 then multiply  9 by x-2 to get 9x-18 and perform the subtraction operation as;

             9x-5

      -      9x-18

------------------------

                     13

So the answer will be; x+9 remainder 13

Answer:

12 minutes

Step-by-step explanation:

alan: 3, 6, 9, 12

beatrice: 4, 8, 12, 16

Both times meet at 12 minutes.

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

Work Shown:

B = amount Beth earned

P = amount Pam earned

amounts are in dollars

Pam earned $4 less than 3 times as much as Beth, so,

P = 3B-4

Together they earned $860, meaning

P+B = 860

Plug the first equation into the second. Solve for B

P+B = 860

3B-4+B = 860

4B-4 = 860

4B = 860+4

4B = 864

B = 864/4

B = 216

Use this to find P

P = 3B-4

P = 3*216-4

P = 648-4

P = 644

Beth earned $216 and Pam earned $644.

----------------------------------------

Check:

B+P = 860

216+644 = 860

860 = 860

First equation is true

P = 3B-4

644 = 3*216-4

644 = 644

Second equation is true

Both equations are true when (B,P) = (216,644) so the solutions have been confirmed.

Answer:

-729, so x9

Step-by-step explanation:

-81×9=-729 hope it helps!

Answer:

$746.24

Step-by-step explanation:

3.2/100 = 0.032

5,830 X 4 = 23,320

23,320 X 0.032 = 746.24

Answer:

425 miles

Step-by-step explanation:

65+.06m=48+.1m

65=48+.04m

17=.04m

425=m