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JulijaS [17]
3 years ago
14

What is an expression which represents the sum of (3x-7y) and (10x+3y) in simplest terms?

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

Answer:

3 x − 4 y + 10

Step-by-step explanation:

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Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each. Business exspenses c
notsponge [240]

Answer:

The owner's profit for a ten-day period is $4675

Step-by-step explanation:

Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each.

Let's find the revenue.

Revenue = 200($1.50) + 85($3.50)

= $300 + $297.50

Revenue per day = $597.50

Revenue for 10 days = 10($597.50) = $5975

Business expenses per day = $130

Business expenses for 10 days = 10($130) = $1300

Now let's find the profit.

Profit for 10 days = Revenue - Expense

= $5975 - $1300

= $4675

So the owner's profit for a ten-day period is $4675

6 0
4 years ago
A 1,300 kg car moving at 20 m/s and a 900 kg car moving at 15 m/a in precisely opposite directions crash head on. If we consider
Dmitry_Shevchenko [17]

Answer:

17.96m/s

Step-by-step explanation:

Based on law of conservation of momentum;

m1u1 +m2u2 =(m1+m2)v

v is the velocities of the car after impact

Substitute the given values

1300(20)+900(15) = (1300+900)v

26000 + 13500 = 2200v

39500 = 2200v

v = 39500/2200

v = 17.96m/s

Hence the speed of the cars after impact is 17.96m/s

5 0
3 years ago
Find the domain of each function. (Enter your answers using interval notation.)(a) f(x)=8/(1+e^x) .(b) f(x)=5/(1−e^x)
Alexus [3.1K]

Answer:

domain is  (-∞,∞)

(-∞,0) U(0,∞)

Step-by-step explanation:

f(x)=\frac{1}{1+e^x}

The domain is the set of x values for which the function is defined

In f(x) there is no restriction for x. the function is defined for all x values

so domain is  (-∞,∞)

f(x)=\frac{5}{1-e^x}

The domain is the set of x values for which the function is defined

when x=0, e^0=1 that makes the denominator 0

Denominator 0 is undefined. So x cannot be 0

domain is (-∞,0) U(0,∞)

3 0
4 years ago
A circle has a diameter of 14cm Work out the circumference of this circle. Give your answer in terms of 3.14 and state it's unit
Karolina [17]

C = 14π cm ( in terms of π )

the circumference (C) of a circle is calculated using the formula

C = πd ( where d is the diameter )

C = 14π cm ≈ 3.14 × 14 - 43.96 cm


3 0
4 years ago
Suppose y = f(x) + k. What effect does k have on the parent function?
maks197457 [2]

Answer:

k determines how many units up or down the parent function will be translated.

Step-by-step explanation:

y=f(x)+k, where k>0 ——> the parent function will be translated up k units

y=f(x)+k, where k<0 ——> the parent function will be translated down k units

8 0
3 years ago
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