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Mandarinka [93]
3 years ago
14

Select the correct answer. Find the value of F(-3) for the function below. fx) = 2x + 10

Mathematics
2 answers:
egoroff_w [7]3 years ago
6 0

Answer:

f(- 3) = 4

Step-by-step explanation:

Substitute x = - 3 into f(x)

f(- 3) = 2(- 3) + 10 = - 6 + 10 = 4

Shkiper50 [21]3 years ago
6 0
F(-3x) jekcmwkfkemdkcmdmlfcuroqlfjc
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Short sleeve t-shirts cost $10 and long sleeve t-shirts cost $15. If the t-shirt shop made $485 selling 38 total t-shirts, how m
BartSMP [9]

Answer:

The t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Step-by-step explanation:

To solve this problem, we should create a system of equations.  Let's let short sleeve t-shirts be represented by the variable s and long sleeve t-shirts be represented by the variable l.  

We know that the shop sold 38 total shirts, or in other words, the amount of long sleeve and short sleeve shirts combined is 38.  If we write this as an equation, we get: s + l = 38.

We can make another equation with the prices of the shirts.  If we take each type of shirt and multiply each price by the number sold and add them together, we should get the shop's total profits.  Represented as an equation, this is: 10s + 15l = 485.

Now that we have two equations, we should try to solve the system.  In this case, it is easiest to use substitution, so we are going to rewrite the first equation in terms of one variable.

s + l = 38

s = 38 - l

If we substitute this equivalent value for the variable s into the second equation, we get:

10s + 15l = 485

10(38 - l) + 15l = 485

Now we have an equation that only has one variable, so we can simplify both sides and then isolate the variable.

380 - 10l + 15l = 485

380 + 5l = 485

5l = 105

l = 21

Now, we can substitute this value for l back into the first equation to solve for the variable s.

s + l = 38

s + 21 = 38

s = 17

Therefore, the t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Hope this helps!

5 0
3 years ago
What THREE integers have a sum of 300?
quester [9]

Answer:

Here we will use algebra to find three consecutive integers whose sum is 300. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 300. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 300

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 300

3X + 3 = 300

3X + 3 - 3 = 300 - 3

3X = 297

3X/3 = 297/3

X = 99

Which means that the first number is 99, the second number is 99 + 1 and the third number is 99 + 2. Therefore, three consecutive integers that add up to 300 are 99, 100, and 101.

99 + 100 + 101 = 300

We know our answer is correct because 99 + 100 + 101 equals 300 as displayed above.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
-3 3/7 * 2 1/2 Has o be in simplest form!
OverLord2011 [107]

Answer:

-8.57142857143

Step-by-step explanation:

-8.57142857143

6 0
3 years ago
Read 2 more answers
563 percent as a fraction
Bogdan [553]

Answer: 5 63/100

Since the numerator is greater than the denominator, we got an IMPROPER fraction. So we can also express it as a MIXED NUMBER, although we know that 563/100 is also equal to 5 63/100 when written as a mixed number.

6 0
3 years ago
Read 2 more answers
Mariah wanted to buy a new pair of shoes she compares prices at two stores. At the store Shoes! the shoes cost $49.99 with a 10%
Dima020 [189]

Answer:

B

Step-by-step explanation:

10% of 49.99

0.1 x 49.99 = 4.99

49.99 - 4.99 = 45.00

30% of 60.00

0.3 x 60 = 18

60 - 18 = 42.00

4 0
2 years ago
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