Answers
Answer:
The system of equations will be:
p(x) = 0.9x + 6.80
m(x) = 0.65x + 7.30
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the linear equation
f(x) = mx+b
where
m is the rate of change or the slopeb is the y-interceptAnalyzing Papa's Pizzeria p function:
Given that A large pizza at Papa's Pizzeria cost $6.80 plus $0.90 for each topping.
Let p is the function of Papa's Pizzeria.As the fixed cost or initial cost of Papa's Pizzeria is $6.80.
Thus, the y-intercept b = 6.80As Papa's Pizzeria offers $0.90 for each topping.
Thus, the rate of change or slope m = 0.9We know that the slope-intercept form of the linear equation
f(x) = mx + b
In this case, the function is m.
now substituting m = 0.9 and b = 6.80 in the slope-intercept form of linear equation
p(x) = 0.9x + 6.80
Thus, the equation that represents the Papa's Pizzeria topping and cost model.
p(x) = 0.9x + 6.80
Analyzing Papa's Pizzeria p function:
Given that a large cheese pizza at Mama's Pizza costs $7.30 plus $0.65 for each topping.
Let m is the function of Mam's Pizzeria.As the fixed cost or initial cost of Mama's Pizza is $7.30.
Thus, the y-intercept b = 7.30As Mama's Pizza offers $0.65 for each topping.
Thus, the rate of change or slope m = 0.65We know that the slope-intercept form of the linear equation
f(x) = mx + b
In this case, the function is m.
now substituting m = 0.65 and b = 7.30 in the slope-intercept form of linear equation
m(x) = 0.65x + 7.30
Thus, the equation that represents the Mama's Pizza topping and cost model.
m(x) = 0.65x + 7.30
Conclusion:
The equation that represents the Papa's Pizzeria topping and cost model.
p(x) = 0.9x + 6.80
The equation that represents the Mama's Pizza topping and cost model.
m(x) = 0.65x + 7.30
Thus, the system of equations will be:
p(x) = 0.9x + 6.80
m(x) = 0.65x + 7.30
Hence, option D is correct.
Related Questions
Please help asap ll give brainliest!!!!!
Question 1
Evaluate
2y+8fory=−2
------------------------------------------------------------------------------------------------------------------------
Question 2
Evaluate
−5x+6forx=−8
-----------------------------------------------------------------------------------------------------------------------
Question 3
Evaluate
3r−2s+12forr=10ands=4
--------------------------------------------------------------------------------------------------------------------
Question 4
Evaluate
6y−4x−9forx=6andy=−3
-----------------------------------------------------------------------------------------------------------------------------
Question 5
Translate the expression
a number t decreased by 13
------------------------------------------------------------------------------------------------------------------------------
Question 6
Translate the expression
six times a number y
Group of answer choices
6y
6-y
6+y
6/y
---------------------------------------------------------------------------------------------------------------------------
Question 7
Translate the expression
three more than four times a number p
Group of answer choices
4p+3
3(4+p)
3p+4
(3+4)p
-------------------------------------------------------------------------------------------------------------------
Question 8
Translate the expression
two times a number v decreased by 7
Group of answer choices
2(v-7)
2v-7
2(7-v)
(2v)-7
----------------------------------------------------------------------------------------------------------------------
Question 9
Translate the expression
six times the sum of seven and a number x
Group of answer choices
6x+7
6(7+x)
7+6+x
6(7)+x
----------------------------------------------------------------------------------------------------------------------
Question 11
Simplify the expression
-8b-10b+7
-----------------------------------------------------------------
Question 12
Simplify the expression
13 + 7t -9
---------------------------------------------------------------------------------------
Question 13
Simplify the expression (remember to write the variables in alphabetical order)
-9n-8m+8-3n+6m-2
Flag this Question
Question 141 pts
Simplify the expression
-5x+3y+9x+7
---------------------------------------------------------------------------------------------------------------------
Question 15
Bonus Question (3 pts extra credit)
Simplify and evaluate the expression for x=2 and y=-4
-2y+4x-3y+6x-12
Answers
Answer:
Step-by-step explanation:
A lot to answer here, so lets get straight into it.
Question 1 :2y + 8 for y = -2
We just need to substitute :
2(-2) + 8
-4 + 8
4
Question 2 :
-5x + 6 for x = -8
Substitute :
-5(-8) + 6
40 + 6
46
Question 3 :
3r - 2s + 12 for r = 10 and s = 4
Substitute :
3(10) - 2(4) + 12
30 - 8 + 12
22 + 12
34
Question 4 :
6y - 4x - 9 for x = 6 and y = -3
Substitute :
6(-3) - 4(6) - 9
-18 - 24 - 9
-42 - 9
-51
Question 5 :
A number t decreased by 13
t - 13
Question 6 :
Six times a number y
6y
Question 7 :
Three more than four times a number p
4p + 3
Question 8 :
Two times a number v decreased by 7
2v - 7
Question 9 :
Six times the sum of seven and a number x
6(7 + x)
Question 11 :
-8b - 10b + 7
-18b + 7
Question 12 :
13 + 7t - 9
13 - 9 + 7t
4 + 7t
Question 13 :
-9n - 8m + 8 - 3n + 6m - 2
-9n - 3n = -12n
-8m + 6m = -2m
8 - 2 = 6
-2m - 12n + 6
Question 141? :
-5x + 3y + 9x + 7
-5x + 9x = 4x
3y = 3y
7 = 7
4x + 3y = 7
Question 15 / Bonus :
-2y + 4x - 3y + 6x - 12 for x = 2 and y = -4
Substitute :
-2(-4) + 4(2) - 3(-4) + 6(2) - 12
8 + 8 + 12 + 12 - 12
16 + 12 + 12 - 12
28 + 12 - 12
40 - 12
28
F(x)=4x^2+4x-15 Write the function D in intercept form. Use this form to list the zeros of the function.
Answers
Answer:
Zeros are x = 1.5, -2.5
Step-by-step explanation:
Given function is,
F(x) = 4x² + 4x - 15
= 4(x² + x - 3.75) [Since, intercept form of a quadratic equation is the factored form of the function]
F(x) = 4(x² + 2.5x - 1.5x - 3.75)
= 4[x(x + 2.5) - 1.5(x + 2.5)]
= 4(x - 1.5)(x + 2.5)
For 'x' intercepts,
f(x) = 0
4(x - 1.5)(x + 2.5) = 0
x = 1.5, -2.5
Therefore, zeros of the given function are x = 1.5, -2.5.
why doesn't an elephant smoke?
its the bottom columns i need help with i just need like the words....
Answers
Answer:
i tried looking it up but i just got this far
Step-by-step explanation:
solve for x using pythagoras theorem (please)
Answers
28.04996
Step-by-step explanation:
a² + b² = c²
(2x)² + x² = 62²
4x² + x² = 3844
5x² = 3844
x² = 3844÷5
x² = 768.8
x =
[tex] \sqrt{768.8} [/tex]
x = 28.04996
I hope this is right. Apologies if it is not.
What feature or features of the parabolic parent function f(x)=x^2 would change if f(x) was replaced with 2f(x-4)? Help please:)
Answers
Answer:
The y-intercept of the function and the vertex of the function would change. (III and IV) This answer doesn't seem to be in the answer list (but there is proof for the answers below), though.
Step-by-step explanation:
(Notice that [tex]2f(x-4) = 2(x-4)^2.[/tex])
The domain of the function won't change because quadratics can all take all numbers as their input (which, by definition, is the domain of a function).
The range of the function won't change either, because we have just moved the function with 4 to the right (by substituting [tex]x[/tex] with [tex]x-4[/tex]) and multiplied the graph with respect to the y-axis by 2. The range will stay as all non-negative real numbers.
The y-intercept of the function will change, because for [tex]f(x)=x^2[/tex] it is [tex]y=0[/tex], while for [tex]y=2(x-4)^2[/tex] substituting [tex]x=0[/tex] doesn't give [tex]y=0[/tex]. (Instead, it gives [tex]y=32[/tex].)
The vertex of the function will change, because we have moved the function with 4 to the right and multiplied the graph with respect to the y-axis by 2: the vertex will have at the very least moved to the right.
Rotate pentagon ABCDE 90 ° counterclockwise. Which point has the lowest x-coordinate?
Answers
Answer:
Just flip the points to the negative values in the 2nd quadrant
Use the quadratic formula to solve the equation, which has one solution. y2+2y+1=0
Answers
Answer :y=−1
Step-by-step explanation:
y2+2y+1=0
Step 1: Factor left side of equation.
(y+1)(y+1)=0
Step 2: Set factors equal to 0.
y+1=0 or y+1=0
y=−1
Simplify ratio 6:4 , please answer quick!!!
Answers
Answer:
3:2
Step-by-step explanation:
Hi there!
6:4 = 3:2
6*2=3
4*2=2
3:2
how can you guys helps me?
Answers
Answer:
A
Step-by-step explanation:
Have a good day. ;-)
Answer: A
Step-by-step explanation:
Given by the graph we know the slope is
y = 1/2x
So the person reads half a page every minute
meaning the answer is A
Kiera and Hannah have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Kiera earns a base wage of $6 per hour, as well as $1 for every subscription that she sells. Hannah gets $2 per subscription sold, in addition to a base wage of $4 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How many subscriptions would that be? Write a system of equations, graph them, and type the solution
Answers
Answer:
Hannah sold 4
Kiera sold 6
Total Subscriptions = 10
Step-by-step explanation:
K = number of Kiera subscriptions
H = number of Hannah subscriptions
T = hours
6+K = 4+2H
K = 2H-2
K+H = 10
K= 10-H
substitute for K
2H-2 = 10-H
simplify
3H = 12
H = 4
K = 6
Can Someone help me to answer the question
Answers
Answer: X = -4
Step-by-step explanation:
90 - 5x + 62 -2x = 180
152 - 7x = 180
-7x = 28
x = -4
Check your answer by pluging in the vaule of x
90 - 5(-4)
90 + 20 = 110
62 - 2(-4)
62 + 8 = 70
110 + 70 = 180
Checks out.
Answer: 110 degrees and 70 degrees
Step-by-step explanation:
These angles are same side (of the traversal line) interior (inside the parallel lines) angles. Same side interior angles sum to 180 degrees. Add the two angles together and set them equal to 180. (90-5x) + (62-2x) = 180
Combine like terms. 90+62= 152 and -5x + -2x = -7x rewrite the equation as 152 + -7x = 180
Subtract 152 from both sides of the equation.
-7x = 28. Now isolate x by dividing both sides by -7. X= -4. Now we can substitute -4 back into the original equations. 90 -5(-4) = 90 +20 = 110 and 62 - 2(-4) = 62 + 8 = 70
We can double check our work to see if these two indeed add up to 180. 110 + 70 = 180
I really need help with this equation
Answers
Answer:
it's answer is 8 / 3
Step-by-step explanation:
given
[tex]6 \ \: \frac{3}{4} \div 1 \frac{2}{3} \\ = \frac{6 \times 4 + 3}{4} \div \frac{1 \times 3 + 2}{3} \\ = \frac{27}{4} \div \frac{5}{2} \\ = \frac{27}{4} \times \frac{2}{5} \\ = \frac{27}{10} [/tex]
Answer:
it's answer is 8 /3.
Hope it helps
1. Find the area of the rectangle whose dimensions are:
(i) length 24.5 m, breadth 18 m (ii) length
12.5 m, breadth = 8 dm.
Answers
Answer:
i. Area(A)=L×B
24.5m×18
441m²
Can you guys please help me with these 3 problems I’m struggling.
Answers
Answer:
Question 1: 6
Question 2: 15
Sorry I dont know the last one but the other ones are correct
Step-by-step explanation:
A store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. What is the total weight in kilograms?
16.70 kilograms
1.670 kilograms
167 kilograms
1,670 kilograms
Answers
Think About the Process Van purchased a DVD player on sale. The original
selling price was $175.90. The sale price was $149.62. What is the first step in
finding the percent markdown? Find the percent markdown.
much appreciated if helped :(
Answers
Answer:
14.940306992% or 15%
Step-by-step explanation:
To solve for percent or price markdown, you first have to find the difference between the original selling price and the sale price.
$ 175.90 - $ 149.62 = $26.28
Then, find the percentage that $26.28 is of the original selling price. You are decreasing the original by this much to get to the sale price.
$26.28 / $175.90
= 0.14940306992
Finally, multiply by 100 and round up to reach a percentage.
15%
create an equation to match my polynomial
Answers
Apply the distributive property to the expression to write an equivalent expression. Complete the statements.
4x + 16
Find the GCF of
_______
.
Now factor out the GCF by dividing each term in the expression by
.__________
4x divided by the GCF is _________
, and 16 divided by the GCF is _______
.
The equivalent expression is _______
.
Answers
Answer:
4(x+4)
Step-by-step explanation:
Find to GCF of 4x+16.
Now factor out the GCF by dividing each term in the expression by 4.
4x divided by the GCF is x, and 16 divided by the GCF is 4.
The equivalent expression is 4(x+4).
peopl3 what is x÷2=6.5
Answers
Answer:
X=13
Step-by-step explanation:
Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.
What is the value of n A p A ?
What is the value of n A ( 1 − p A ) ?
What is the value of n B p B ?
What is the value of n B ( 1 − p B ) ?
Is the shape of the sampling distribution approximately Normal?
____, these values _____ all at least 10.
Answers
Answer:
6 ; 24 ; 5.4 ; 24.6
Step-by-step explanation:
Given that:
Number of samples from each high school = 30
Proportion of students from high school A = 20%
Proportion of students from high school B = 18%
Number of sample A ; n(A) = 30
Proportion of sample A ; p(A) = 0.20
Number of sample B ; n(B) = 30
Proportion of sample B ; p(B) = 0.18
1.)
n(A).p(A) = 30 * 0.20 = 6
2.)
n(A). (1 - p(A))
30 * (1 - 0.20)
30 * 0.8 = 24
3.)
n(B).p(B) = 30 * 0.18 = 5.4
4.)
n(B). (1 - p(B))
30 * (1 - 0.18)
30 * 0.82
= 24.6
Shape of sampling distribution is not approximately normal ;
Both nApA and nBpB are < 10
Solve
Y/-7 = 1/14
Y= ?
Answers
Answer: -1/2
Step-by-step explanation:
y/-7=1/14 (cross multiply)
14y=7 (divide both sides)
y=-1/2
a) Which of the shapes is a heptagon?
b)Which of the shapes is a septagon?
c)
Which of the shapes is an nonagon?
Answers
Answer:a) Which of the shapes is a heptagon?
Step-by-step explanation:a) Which of the shapes is a heptagon?
-5+i/2i simplify&show work if you can :)
Answers
Answer:
Alright the answer is, -11/2 (Exact Form) Or -5.5 (Decimal) Or -5 1/2 (In Mixed Number Form.
Plz help me i just need the name..thankyou!
Answers
Answer:
You can try E, G, D, N, L, and F. I will help you if you have any questions on it, but I will give you a little hint that do the way I did. It will make it much more easy to understand it. Hope this helps, thank you :) !!
Can some plz find the measure of the number angles in the diagram
///32 points
Answers
Answer:
∠1 = 41
∠2 = 41
∠3 = 128
∠4 = 87
use properties of angles, and use the parallel lines
Need help due todayy !!!
Answers
Answer:
A.
Step-by-step explanation:
Its a
i give you brainline if you hep me its ez
Answers
Answer: 2 1/6
Step-by-step explanation:
13/6 simplified is 2 1/6
A certain flagpole that is 286 feet tall cast a shadow 137 feet long. Find the angle of elevation of the sun.
Answers
Answer: The angle of elevation of the sun [tex]=64.40^{\circ}[/tex]
Step-by-step explanation:
According to the trigonometry,
In a right triangle,
[tex]tan A=\dfrac{Perpendicular}{Base}[/tex]
Let angle of elevation of the sun = x
From the given figure, Perpendicular = 286 feet
Base = 137 feet
[tex]\tan x =\dfrac{286}{137}\\\\ \tan x = 2.0876\\\\ x=\tan^{-1}(2.0876)\\\\ x=64.40^{\circ}[/tex]
The angle of elevation of the sun [tex]=64.40^{\circ}[/tex]
3( 5x+10x -2)=
I NEED HELP
Answers
Answer:
45x-6
Step-by-step explanation:
math
way
Step by step answer:
3(5x+10x-2)
3•5x=15x
3•10x=30x
3•-2=-6
15x+30x=45x
So then just put the -6 after 45x
45x-6
Write and solve the equation. Show all work.
Jeramiah received $200 for his birthday this year. This was $20 less than half the amount he received last year. How much money did Jeramiah receive last year?
Answers
440 is your answer
Answer:
x/2-20=22
440 is your answer
Step-by-step explanation: