Please help
generator 1: C(x) = 0.03x^2+26x+24
generator 2: K(x) = 0.01x^2+38x+118

write a function rule for the sum of the costs of these two generators. Enter your answers in the boxes.

T(x) = C(x) + K(x)

T(x) = (0.03+ ? )x^2 + (26+38)x +(24+118)
T(x) = ?x^2 + ?x + ?

SOLVE FOR THE BLANKS. PREFERABLY WITH STEPS SHOWN.
Thank you ​

Answers

Answer 1

Answer:

[tex]T(x)= 0.04x^2+64x+142[/tex]

Step-by-step explanation:

Sum of Functions

We are given the functions for the cost of two generators:

[tex]C(x) = 0.03x^2+26x+24[/tex]

[tex]K(x) = 0.01x^2+38x+118[/tex]

We are required to find the function for the sum of the costs of the two generators:

T(x)= C(x)+K(x)

We'll add both functions:

[tex]T(x)= 0.03x^2+26x+24+ 0.01x^2+38x+118[/tex]

To find the sum of both functions, we collect like terms:

[tex]T(x)= (0.03+0.01)x^2+(26+38)x+(24+118)[/tex]

[tex]\boxed{T(x)= 0.04x^2+64x+142}[/tex]


Related Questions

Thirty-two of 50 marbles are blue. What percent of the marbles are blue?​

Answers

Answer:

64%

Step-by-step explanation:

Thirty-two of 50 marbles = 32/50[tex]\frac{32}{50} = \frac{64}{100}[/tex]  64/100 = 64%

I hope this helps!

i do believe the answer is 64%! :)

Which number has a 6 in the tenths place

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Answer:

c

Step-by-step explanation:

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Answer: 3234 cubic units

Step-by-step explanation:

Volume of cylinder: πr²h

The diameter of the cylinder is 14 units so the radius is 7 units.

Now we'll substitute.

π = 22/7

h = 21

πr²h

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22/7 × 49 × 21 = 3,234

The volume is 3,234 cubic units.

The length and breadth of a rectangular field are in the ratio 5:4 if the perimeter is 90m find its area?

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Answer:

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Step-by-step explanation:

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Percent increase

Answers

ANSWER :

about a 1.076% increase

EXPLANATION :

1. Set up your equation

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2. Cross multiply

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3. Divide by thirteen on both sides

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4. Transform it into percent [ divide by a hundred ]

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Jerry lives 3 1/2 miles away from Jake. Jerry and Jake decided to meet half between their houses and then walk to the park together. The park is located 3/5 mile from the halfway point. How far did Jerry walk in all to get to the park?

Answers

Answer: Jerry walked 2 7/20 miles to get to the park

Step-by-step explanation:

1/2 of 3 1/2

1/2 of 7/2 = 7/4

7/4 + 3/5

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LCM of 4 and 5 = 20

35/20 + 12/20 = 47/20 = 2 7/20

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HELPPPP!!!
(WILL MARK BRAINLIEST)

Answers

Answer:

y÷8

Step-by-step explanation:

quotient is just a fancy word for division

Y divided by 8 is your answer. Quotient means dividing


In the diagram below, RS and ST are perpendicular.

Which equation represents ST ?
А.
-x+ 3y = 9
В.
3x + y = 13
C
-3x+y=-13
D
3x + y=23

Answers

Answer:

A==−x+3y=9

Step 1: Add -3y to both sides.

−x+3y+−3y=9+−3y

−x=−3y+9

Step 2: Divide both sides by -1.

−x

−1

=

−3y+9

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x=3y−9

Answer:

x=3y−9

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Answers

Answer:

10x + 5

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Step-by-step explanation:

Question 5 Multiple Choice Worth 4 points)
(04.07A)
What is the y-intercept of the line shown?
6-
5-
4-
3
2-
0
0
3
4
1
2
0
1
3
3.5

Answers

Answer:

3

Step-by-step explanation:

The y-intercept is the line that crosses the y axis on the gragh

What rational number in fraction form is equivalent to 0.15 ? ​

Answers

Answer:

0.15 as a fraction is 3/20

Step-by-step explanation:

Use Pythagorean Theorem to determine the missing side.
How high is the end of the ladder
against the building?
h ft
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Answers

the ladder is 12.4 feet high

Melanie wrote an equivalent expression to the one shown. Which expression could Melanie have written?
6a+6(2a−3)+3


A
18a

B
18a + 15

C
3(6a - 5)

D
3(4a - 5)

Answers

Answer:

c.

Step-by-step explanation:

3(6a-5)

is the answer of question given above

Answer:

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Step-by-step explanation:

By using the distributive property and combining like terms, the expression becomes eighteen a minus fifteen. Three can then be factored from both terms to write the expression as three times the quantity six a minus five.

determine the quotient for 1/3 ÷ 7/7​

Answers

Your answer is 1/3 hope this helps you out

9(x - 2) = 7x + 5 a) true for all values of x b) true for one value of x c) true for no values of x

Answers

Answer:

b) true for one value

Explanation:

If you solve for x, there is only one value of x

Answer:

(b)

Step-by-step explanation:

9(x - 2) = 7x + 5 ← distribute left side

9x - 18 = 7x + 5 ( subtract 7x from both sides )

2x - 18 = 5 ( add 18 to both sides )

2x = 23 ( divide both sides by 2 )

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Isaiah is working two summer jobs, making $16 per hour tutoring and $10 per hour clearing tables. Isaiah must earn at least $110 this week. Write an inequality that would represent the possible values for the number of hours tutoring, tt, and the number of hours clearing tables, cc, that Isaiah can work in a given week.

Answers

Answer:

16t + 10c > 110

Step-by-step explanation:

Cost of tutoring per hour = $16

So, cost of tutoring t hours = $16t

Cost of clearing tables per hour = $10

So, cost of clearing tables c hours = $10c

Since, Isaiah must earn at least $110 this week.

Therefore, the required inequality will be given as:

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Answers

Answer: $72

Explanation:

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40%=0.4

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Answers

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Answers

Answer:

126

Step-by-step explanation:

  70

+ 56

 126

If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that the Candice is deep-sea diving with two friends

Whitney is exploring a coral reef 56 feet in front of Candice

The distance between Whitney and Candice is 56 feet.

Ed is floating on the surface directly above Candice.

Ed and Whitney are 70 feet apart, we need to find the distance between Ed and candice.

By using Pythagoras theorem we can find this.

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4900-3136=x²

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Hence, If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.

To learn more on trigonometry click:

https://brainly.com/question/29002217

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please help me out ASAP​

Answers

2) 7
3) 5
4) 9
5) 6
6) 8

partial products of 2.3 × 2.6

Answers

Answer:

The answer of the study guide bis 0.

Step-by-step explanation:

Answer:

this is the answer

Step-by-step explanation:

5.98

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Answers

Answer:

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6. (0,-4)

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8. (0,-4)

9. (0,5)

10. (0,0)

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The Kid Laroi

1.
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Answers

Answer:

Step-by-step explanation:

1.

James goes to an arcade.

He has one go on the Teddy Grabber.

He has one go on the Penny Drop.

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The probability that he wins on the Penny Drop is 0.3.

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Penny Drop

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0.2

Lose

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Answers

Answer:

3.85

Step-by-step explanation

7.7 divided by 2 = 3.85

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Let the number they are thinking of be X.

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They then add 20, which would be 2x +20

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Answers

Answer:

The answer to the question provided is 72.

I need help on this question

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Multiple the sides I think

An arithmetic sequence has this explicit formula: an = 14 + (n - 1)3. What is the recursive formula?​

Answers

Answer:

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Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

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What is the
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Answers

Answer:

56

Step-by-step explanation:

4, 7 and 8 all go into 56

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