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3 years ago

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On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 30), R(−20, 30), S(−20, −10),

and T(10, −10), and represents the floor plan of a room. Find the perimeter and area of the room.

1 answer:

maks197457 [2]3 years ago

4 0

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Choose yes or no to tell whether the expression represents a 20% discount off the price of an item that originally costs d dolla

tester [92]

Answer:

Option A and C is correct.

Step-by-step explanation:

Discount is defined as a reduced price on something being sold or at a price lower than that item is normally sold for.

For a 20% discount,

Given:

Initial prices = $ d

Discounted price = % discount × original/initial cost

= 20/100 × d

= 0.2 × d

Selling price = original cost - discounted price

= d - 0.2d

= 0.8 × d

= 0.8d

8 0

2 years ago

For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.

Rufina [12.5K]

Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$ .

To find $(f \circ g)(x)$ , substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$ , substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$

5 0

1 year ago

Two jets leave an air base at the same time and travel in opposite directions. One jet travels 94 mi/h slower than the other. If

maw [93]

Answer:

1478 mi/h

Step-by-step explanation:

The rate of change is the distance divided by the time.

$\text{Rate of change} = \dfrac{\text{distance}}{\text{time}} = \dfrac{\text{2956 mi}}{\text{2 h}} = \textbf{1478 mi/h}$

4 0

2 years ago

What is 27/33 is the lowest term?

MariettaO [177]

9/11

Hope this helps

6 0

2 years ago

Read 2 more answers

Whats the answer to -3a+8-8(7-2a)

Serga [27]

Answer:3.1875

Step-by-step explanation: Simplifying

-3 + 8 + -8(7 + -2a) = 0

-3 + 8 + (7 * -8 + -2a * -8) = 0

-3 + 8 + (-56 + 16a) = 0

Combine like terms: -3 + 8 = 5

5 + -56 + 16a = 0

Combine like terms: 5 + -56 = -51

-51 + 16a = 0

Solving

-51 + 16a = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '51' to each side of the equation.

-51 + 51 + 16a = 0 + 51

Combine like terms: -51 + 51 = 0

0 + 16a = 0 + 51

16a = 0 + 51

Combine like terms: 0 + 51 = 51

16a = 51

Divide each side by '16'.

a = 3.1875

Simplifying

a = 3.1875

5 0

3 years ago

Read 2 more answers