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3 years ago

Find the intersection. { 2 2, 3 3, 5 5, 7 7} intersect ∩ { 1 1, 3 3, 7 7, 8 8}

1 answer:

5 0

Intersection mean what are the common number so in my point of view the intersection will be (33,77).i think its 100% right

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Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa

Anni [7]

Answer:

1. $\( f\circ g(x)=0.05x-150$

2. $\( g\circ f(x)=0.05x-3000$

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

$f\circ g(x)=f(g(x))$

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

f(x) = 0.05x
g(x) = x - 3000

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

2. The composition of the function

$g\circ f(x)=g(f(x))$

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

$g(f(x))=((0.05x)-3000)=0.05x-3000$

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

4 0

3 years ago

I need help on ratio of x-coordinates and ratio of y-coordinates

ad-work [718]

Answer:

Ratio of x-coordinates:

$\frac{-1}{-2}=\frac{1}{2}$

$\frac{2}{4}=\frac{1}{2}$

$\frac{-2}{-4}=\frac{1}{2}$

Ration of y-coordinates:

$\frac{2.5}{5}=\frac{1}{2}$

$\frac{1}{2}=\frac{1}{2}$

$\frac{-2}{-4}=\frac{1}{2}$

Step-by-step explanation:

The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image. The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value. Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor. In this case, the second figure is 1/2 the size of the original figure.

5 0

3 years ago

Round 1.965 to the nearest tenth. please

Alona [7]

I’m pretty sure it’s 2.0 have a nice day!

6 0

3 years ago

While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top o

Vlada [557]

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

= 150 × 1.1106

= 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

7 0

3 years ago

Pls help I’m so confused

solniwko [45]

Answer:

Yes

Step-by-step explanation:

First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.

Set up an equation using the Pythagorean theorem:

$13^2+35^2=C^2$

Solve for C:

169 + 1225 = C^2

1394 = C^2

C ≈ 37.34

Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.

Again, set up an equation using the Pythagorean theorem, and solve for the new C:

$13^2+37.34^2=C^2$

1563.2756 = C^2

C = 39.54

The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.

Have a nice day! :)

7 0

3 years ago

Find the intersection. ​{ 2 2​, 3 3​, 5 5​, 7 7​} intersect ∩ ​{ 1 1​, 3 3​, 7 7​, 8 8​}

Find the intersection. { 2 2, 3 3, 5 5, 7 7} intersect ∩ { 1 1, 3 3, 7 7, 8 8}