Write the quadratic equation in standard form please
-5x^2-6x=-1+2x

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]

Answer:

LCM: 280

Step-by-step explanation:

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Answer:

x = 9 units

Step-by-step explanation:

[tex]\frac{x}{54}[/tex] = [tex]\frac{8}{48}[/tex]

x = [tex]\frac{54*8}{48}[/tex] = 9 units

Answer:

Step-by-step explanation:

1). f(x) = 2x

   f(-3) = 2(-3) = -6

   f(1) = 2(1) = 2

   f(4) = 2(4) = 8

   Ordered pairs → (-3, -6), (1, 2), (4, 8)

2). f(x) = 2x + 1

    f(-3) = 2(-3) + 1 = -5

    f(1) = 2(1) + 1 = 3

    f(4) = 2(4) + 1 = 9

   Ordered pairs → (-3, -5), (1, 3) and (4, 9)

     x       -3        1        4      

    f(x)     -5       3        9

3). f(x) = -3x

    f(-3) = -3(-3) = 9

    f(1) = -3(1) = -3

    f(4) = -3(4) = -12

    Ordered pairs → (-3, 9), (1, -3), (4, -12)

       x       -3       1        4

     f(x)       9      -3     -12

Answer:

Step-by-step explanation:

Answer:

The slope is 2/1. The y-intercept is 4.

Step-by-step explanation:

First graph 4 on the y-axis (0,4). From there your going to up by 2, and right 1. Keep going until you can’t graph no more. Now go back to your point (0,4) go backwards now so Down 2, left 1. Graph until you can’t anymore. And your done! Make sure to add arrows and write down the equation on the line.

Answer:

= 1, 2, 5, 8 and 26

Step-by-step explanation:

To find the first 4 terms, substitute n = 1, 2, 3, 4 into the formula

a₁ = 3(1) - 4 = 3 - 4 = - 1

a₂ = 3(2) - 4 = 6 - 4 = 2

a₃ = 3(3) - 4 = 9 - 4 = 5

a₄ = 3(4) - 4 = 12 - 4 = 8

The first 4 terms are

- 1, 2, 5, 8

Substitute n = 10

a₁₀ = 3(10) - 4 = 30 - 4 = 26

Answer:

Below.

Step-by-step explanation:

We get the first 4 terms by plugging in n = 1 2 3 and 4:

3(1) - 4 = -1 , 3(2) - 4 = 2 ...

First 4 terms are

-1, 2, 5, 8

10th term =   3(10) -4 = 26.

Step-by-step explanation:

Hope you understand. If you don't ask me anything

Answer:

0.27083333333 or 13/48

Step-by-step explanation:

Answer:

13/48

Step-by-step explanation:

Answer:

SLOPE = - 4

y-intercept = 9

Step-by-step explanation:

Slope = - 8/2 = - 4

Y-INTERCEPT = 18/2 = 9

Answer:

1. 4

Step-by-step explanation:

24 - 20, if you add the the square then the rectangle, then subtract

Answer:

x-intercept is also known as y=0

Answer:

(x , y - 6)

Step-by-step explanation:

The y-axis deals with up and down motions. To shift a point downwards six units, subtract 6 from the value do the y-coordinate.

Answer:

$52.50

Step-by-step explanation:

What you do is you move the decimal two times to the left from 75%.

0.75*?=?

Take the orginal price and multiply ($30) by 0.75.

0.75*30= $22.50

Take 22.50 and add that to your original amount.

$22.50+$30= $52.50 or $52.5

Answer:

The range of baskets per game is 5 baskets.

Answer:

we conclude that the given system of equations is consistent and independent.

Hence, option B is true.

Step-by-step explanation:

From the figure it is clear that the two lines intersect at one point.

In other words, there is only one point of intersection of the given system of equations.

It means the system of equations contains exactly one solution.

We know that If a consistent system contains exactly one solution, it is termed as an independent.

Therefore, we conclude that the given system of equations is consistent and independent.

Hence, option B is true.

Answer:

C) p + 24 = 56

Step-by-step explanation:

The total number of cookies baked = Number of cookies Ellie baked + Number of cookies Jamie baked

Ellie baked 24 chocolate chip cookies.

Jamie baked p peanut butter cookies.

Total of 56 cookies.

Hence:

56 = p + 24

Therefore, the equation that can be solved for p to find the number of cookies Jamie baked is

p + 24 = 56

Option C is the correct option

Answer:

The first choice

Step-by-step explanation:

I know this because I have one, but also, it says in the options to avoid monthly fee section.

slope of the line is given by

2x+4y=5

4y=-2x+5

y=(-2/4)x+5/4

y=(-1/2)x+5/4

from, y=mx+c

m=-1/2

slope of a line parallel to this line

from, m1=m2

slope, m=-1/2

slope of a line perpendicular to this line

from, m1m2=-1

(-1/2)m2=-1

m2=2

slope, m=2

Answer:

the answer is letter a

Step-by-step explanation:

ok there

Answer:

Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2

Step-by-step explanation:

Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2

Answer:

-1.6 | B

Step-by-step explanation:

Simple adding.

Answer:

She gives him 12 shells

Step-by-step explanation:

30/5=6

6*2=12

Lisa Gave Her Brother 12 Shells

Answer: The new amount is 0.78*5500. Which is 4290. The decrease is 5500-4290=1210.

Answer:

c) 10 cm

Step-by-step explanation:

EC = AC

AC = 10 then so does EC

Answer:

C

Step-by-step explanation: