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notsponge [240]
3 years ago
9

The function y = 250 + 75x describes the amount of money, y, in dollars that Carisma has in her bank account after working x wee

ks at the grocery store. In this situation what does the 75
represent?
Mathematics
2 answers:
Sergio039 [100]3 years ago
6 0

y = the amount of money in her bank account

x = the number of weeks she works

y = 250 + 75x

[$250 is the amount she already/initially has in the account + $75 for each week she works(x) = amount of $ in account(y)]

75 represents the amount of money she earns per/each week.

Andru [333]3 years ago
3 0

Hi,

75 is the amount of money Carisma earns in one week.

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The equation $1.50p + $5.00 = $14.00 shows the total cost of picking p pounds of blueberries at a local blueberry farm. how many
Afina-wow [57]
1.5p + 5 = 14
1.5p = 9
p = 6 pounds
7 0
3 years ago
Let f(x)=x^2+2x+3 . What is the average rate of change for the quadratic function from x=−2 to x = 5?
miskamm [114]
To find the average rate of change of  given function f(x) on a given interval (a,b):

Find f(b)-f(a), b-a, and then divide your result for f(b)-f(a) by your result for b-a:


f(b) - f(a)
------------
    b-a

Here your function is f(x) = x^2 - 2x + 3.  Substituting b=5 and a=-2,
f(5) = 5^2 -2(5)+3 =?                          and f(-2) = (-2)^2 - 2(-2) + 3 = ?


Calculate           f(5) - [ f(-2) ]
                         ------------------ using your results, above.
                              5 - [-2]

Your answer to this, if done correctly, is the "average rate of change of the function f(x) = x^2+2x+3 on the interval [-2,5]."
5 0
3 years ago
Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
ki77a [65]

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

8 0
2 years ago
A scientist wishes to estimate the mean breaking strength of a certain type of steel rod within 3.0 psi with 95% confidence. Bas
yaroslaw [1]

Answer:97 rods

Step-by-step explanation:

The number of steel rods for 95% confidence level

n=\left ( \frac{Z_\frac{\alpha }{2}\times \hat{\sigma }}{E} \right )^2

Z_\frac{\alpha }{2}=1.96

E=3

\hat{\sigma }=15

Substituting values

n=\left ( \frac{1.96\times 15}{3}\right )^2

n=96.04\approx 97

Thus 97 rods is tested

6 0
3 years ago
What is the mean of this set 18,21,20,14,17
konstantin123 [22]

Answer: 18

Step-by-step explanation:

Add them all up

18+21+20+14+17=90

Divide by 5 since that is how many numbers there are

90/5=18

6 0
3 years ago
Read 2 more answers
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