Answer:
f(-7) = 63
General Formulas and Concepts:
Order of Operations: BPEMDAS
Substituting and EvaluatingStep-by-step explanation:
Step 1: Define
f(t) = t² - 2t
f(-7) is t = -7
Step 2: Solve
Substitute: f(-7) = (-7)² - 2(-7)Exponents: f(-7) = 49 - 2(-7)Multiply: f(-7) = 49 + 14Add: f(-7) = 63If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball costs $28 to make, plus $15,000 per month in overhead costs (mostly Gabe's extravagant salary) find: a. The average cost c(x) of producing each soccer ball b. Algebraically find the number of soccer balls Gabe's company must produce per month in order to break even (Profit = 0). Profit = Total Revenue – Total Cost c. Algebraically find the number of soccer balls Gabe's company must make to earn a profit of $10,000 per month. d. If Gabe took a pay cut to reduce the overhead costs to $8,000 per month, how many fewer balls would the company have to sell to break even. (There are multiple ways to get this result).
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Selling price= $60
Unitary variable cost= $28
Fixed costs= $15,000
First, we need to calculate the average total cost:
Average cost= total cost / number of units
For example, for 1 unit and 10,000 units:
1 unit:
Average cost= 15,028/1 = 15,028
10,000 units:
Average cost= (15,000 + 28*10,000) / 10,000
Average cost= $29.5
Now, we can calculate the break-even point in units:
0= (60*x) - (28*x) - 15,000
x= number of units to break-even
0= 32x - 15,000
15,000/32= x
468.75=x
break-even point in units= 469
For the desired profit of $10,000:
10,000 = (60*x) - (28*x) - 15,000
25,000= 32x
781.25= x
Break-even point= 782 units
Finally, fixed costs dropped by $8,000:
0= 32x - 7,000
x= 7,000/32
x= 218.75
Break-even point= 219
Difference= 250 units
Help me please be correct tysm <3
Answer:
the answer is yes
because it is within the shaded region of both inequalities
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
Answer:
$15.75
Step-by-step explanation:
30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75
Sam has a total of 43 quarters and nickels in her purse. If her change is worth $7.75, how many nickels and how many quarters does Sam have?
Warning: This is Algebra 1
Answer:
i need help with this too\
Step-by-step explanation:
In 1992, Disney created a one-of-a-kind special pin. Each year, the pin’s value appreciates by a constant amount. In 1997, the pin was valued at $350. In 2002, it was valued at $600. Let x be the number of years since 1992 and y be the value of the pin in dollars. Write a linear equation in slope-intercept form that models this situation.
Answer:
[tex]y = 50x + 50[/tex]
Step-by-step explanation:
Given
x = years since 1992.
y = value of pin
This means that
[tex]x = 1[/tex] ----- in 1992
[tex]x_1 = 6[/tex]; [tex]y_1 = 350[/tex] ---- in 1997
[tex]x_2 = 11;[/tex] [tex]y_2 = 600[/tex] ---- in 2002
Required
Determine the line equation in slope intercept form
First, we need to determine the slope (m) of the line
[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]
[tex]m = \frac{600 - 350}{11- 6}[/tex]
[tex]m = \frac{250}{5}[/tex]
[tex]m = 50[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Recall that
[tex]x_1 = 6[/tex]; [tex]y_1 = 350[/tex]
[tex]m = 50[/tex]
So, we have:
[tex]y - 350 = 50(x - 6)[/tex]
[tex]y - 350 = 50x - 300[/tex]
[tex]y = 50x - 300 + 350[/tex]
[tex]y = 50x + 50[/tex]
Which graph represents the equation 6x−5y=10 ? A image 1ab24067a1a445c6b2cc4633bfedfbb0 B image 28e91cd406af4c89bbd5cef1ec880a48 C image cfe6c7f17af74557ac6084f98e5bf5e0 D image 6fe8450f191547f885106542b28826f1
Answer:
i'm sorry
Step-by-step explanation:
what do you mean
please help me out with this question.
much appreciation. Thanks.
Answer:
there is nothing
Step-by-step explanation:
Evaluate the expression | 9 | + | - 2|
Answer: 11
Step-by-step explanation:
|9| + |-2| =
9 + 2 = 11
Math Trick
43 x 67 = ?
Answer:2881
Step-by-step explanation:
Answer:
2881
Step-by-step explanation:
Please answer this giving brainliest and 20 points. If you say something weird i will make sure you get banned.
Answer:
C. The value of a is the number that the x-values are multiplied by to get to the corresponding y-values. So, a = 3.
Step-by-step explanation:
Given the points (5, 15) and (-5, -15) are plotted using the equation y = a•x, this shows a proportional relationship between y and x.
Thus using any of the points, say (5, 15), x = 5, and y = 15, thus:
a = y/x = 15/5
a = 3
Therefore, the value of a, which is 3, is the number that the x-values, 5 and -5, are multiplied by to get the corresponding y-values, 15 and -15.
As we can see, if we multiply each of the x-values by 3, it will give us their corresponding y-values.
Which values from the given replacement set make up the solution set of the inequality?
m+7<18 ; {8, 9, 10, 11}
{9, 10, 11}
{8, 9, 10}
{8, 9}
{10, 11}
Answer:
B: 8,9,10
Step-by-step explanation:
ILL GIVE BRAINLIST IF YOU ARE RIGHT 1. (05.01 LC)
The graph shows the distance, y, that a car traveled in x hours:
What is the rate of change for the relationship represented in the graph? (1 point
55
54
1/54
1/55
Answer:
55 (A) (I understand you bro)
because here, 1 (x) is = to 55 (y), the rate is 1:55 (x:y). This is a ratio, it's gonna bother you later
Please help me! Im not good at this topic.
Answer:
I THINK IT IS C.
Step-by-step explanation:
which is closer to 0 3/8 or -1/3
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0
Can anyone help me on these 2 questions
Answer:
Nope lol
Step-by-step explanation:
Sara borrows $56 from her mother to buy a new pair of jeans. If
Sara decreases her debt by $4 each week, how many weeks will
it take her to pay off the whole amount she owes her mother?
Answer:
Have an amazing night/day!
Step-by-step explanation:
14 i think ill edit if im wrong
For the equation 3(2x − 5) = 6x + k, which value of k will create an equation with infinitely many solutions?
Answer: K = -14
Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable
Answer:
the correct answer is -15 for the equation:
3(2x − 5) = 6x + k
Hope this helped!
Find the slope of the line passing through the points (9,3) and (9,-5).
Answer: its 8
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Which diagram can be used to prove △ABC ~ △DEC using similarity transformations?
Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.
Triangle A B C is reflected across side A C and then is dilated to form smaller triangle C E D.
Triangles A B C and C E D have different angle measures.
Right triangle A B C is shown. Line segment D E is drawn near point C to form triangle D E C.
Answer:
A
Step-by-step explanation:
I like math
Answer:
Answer is A
Step-by-step explanation:
edge2021
What is 1232456 * 789456? I will mark brainliest!!
Answer:
972,969,793,936Step-by-step explanation:
972,969,793,936 is the answer when the numbers and multiplied.
You have to multiply according to the different places you put the numbers in.
Hope this helped,
Kavitha Banarjee
789101112
Step-by-step explanation:I need help with this question ASAP
Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
-4.3 -0.43 -0.043 -0.34 -3.4
-4.3, -3.4, -0.43, -0.34, -0.043
-4.3, -0.43, -0.043, -3.4, -0.34
-0.043, -0.43, -0.34, -3.4, -4.3
Answer:
-4.3, -3.4, -0.43, -0.34, -0.043
The cost y (in dollars) to spend an evening bowling is proportional to the
number of games x that are bowled.
It costs $16 to bowl 4 games.
5. Write an equation that represents the situation.
6. How much does it cost in dollars) to bowl 6 games?
Answer:
y = 4x
Bowl 6 games cost $24
Step-by-step explanation:
Proportional Relationship
We have a situation where the cost y in dollars to spend an evening bowling is proportional to the number of games x bowled.
A proportional relationship is written with the equation:
y = k.x
The value of k will be determined by using the given information: 4 games bowled cost $16, thus:
16 = k.(4) = 4k
Solving:
k = 16 / 4 =4
Thus, the function is:
y = 4x
x=6 games bowled cost:
y = 4*6
y = $24
Bowl 6 games cost $24
Solve the simultaneous equations:
3a-2b=14
12a+9b=39
Warm-Up: Solve each equation for x.
1. x + 5 = 15
Answer:
x = 10
Step-by-step explanation:
x + 5 = 15
x = 15 - 5
x = 10
Thus, x = 10
-TheUnknownScientist
Jack has 27 pencils. Shane has 3 more than twice the amount that Jack has. Which equation shows the relationship between the number of pencils Jack (j) has and the number of pencils Shane (s) has?
Answer:
s=27*2+3
rrefrewhtefghttrfdgh
5(x - 6) + 2 = 7x - 8
what is x
Answer:
x = -10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties
DistributiveStep-by-step explanation:
Step 1: Define equation
5(x - 6) + 2 = 7x - 8
Step 2: Solve for x
Distribute 5: 5x - 30 + 2 = 7x - 8Subtract 5x on both sides: -30 + 2 = 2x - 8Add: -28 = 2x - 8Add 8 on both sides: -20 = 2xDivide 2 on both sides: -10 = xRewrite: x = -10Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-10 - 6) + 2 = 7(-10) - 8Subtract: 5(-16) + 2 = 7(-10) - 8Multiply: -80 + 2 = -70 - 8Add/Subtract: -78 = -78Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answer:
points
Step-by-step explanation:
3g-2+7g+8=
What is this
Answer:
10g+6 is the answer
Step-by-step explanation:
1. So far, Marta has correctly predicted the winner of 6 out of 13 football games. She wants to know how many consecutive games she would have to predict correctly to raise the percent of correct predictions to 65%. (a) Write an equation to represent this situation. (3 points) (b) Solve the equation. Show all steps. (5 points) (c) Answer the question. How many consecutive games must she predict correctly to raise her percent to 65%? (1 point)
Answer:
[(6 + x) / 13+x] = 0.65
7
Step-by-step explanation:
Given that:
Total number of games = 13
Number of correct prediction = 6
Number of correct predictions needed to raise prediction % to 65%
(Number of correct predictions) / (total number of games) = 0.65
Let x = number of additional consecutive correct predictions
[(6 + x) / 13+x] = 0.65
Where x = number of consecutive predictions required
6 + x = (13 + x) * 0.65
6 + x = 8.45 + 0.65x
x - 0.65x = 8.45 - 6
0.35x = 2.45
x = 2.45 / 0.35
x = 7
7 consecutive correct predictions