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3 years ago

If f(x+5)=x^+kx+30,k=

Mathematics

1 answer:

Vilka [71]3 years ago

5 0

30 divided by 5 is 6, so the other term is (x+6). (x+5)(x+6) becomes x^2+11x+30, so k is equal to 11.

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The average cost of 2 storybooks was 2.45. One of the books cost 2.80. Find the cost of the other book

alexandr402 [8]

Answer:

The answer is simply 26,25/3 which gives that each book costed 8,75 dollars assuming of course that all books have the same price.

7 0

2 years ago

Which system of equations can be used to find the roots of the equation 12 x 3-5x=2 x 2+x+6

kirill [66]

Answer:

Option (a) is correct.

The system of equation becomes

$y=12x^3-5x\\\\ y=2x^2+x+6$

Step-by-step explanation:

Given : Equation $12x^3-5x=2x^2+x+6$

We have to construct a system of equations that can be used to find the roots of the equation $12x^3-5x=2x^2+x+6$

Consider the given equation $12x^3-5x=2x^2+x+6$

To construct a system of equation put both sides of the given equation equal to a same variable.

Let the variable be "y", Then the equation $12x^3-5x=2x^2+x+6$

becomes,

$12x^3-5x=y=2x^2+x+6$

Thus, The system of equation becomes

$y=12x^3-5x\\\\ y=2x^2+x+6$

Option (a) is correct.

8 0

3 years ago

Read 2 more answers

The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i

Margarita [4]

Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

$Area= 3.955m*3.955m\\Area= 15.642 m^2$

Now we need to know the uncertainty, the uncertainty of a multiplication is:

$\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|}$ (1)

$δ_A$ : Area uncertainty

$δ_L$ : Length uncertainty

$δ_W$ : Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

$δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area$ (2)

$δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2$

$δ_A= 0.040 m^2$

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

6 0

3 years ago

Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combi

Alenkinab [10]

Given:
cost: 26,500
option: 725
total 27,225
tax (27,225 * 6%) 1,633.50
total 28,858.50
license & reg. fee 50.00
total cost 28,908.50 Choice D.

5 0

3 years ago

Read 2 more answers

(Brainliest for fastest right answer!!!) Which is correct?

zavuch27 [327]

Answer:

Step-by-step explanation:

ax² + bx + c = a(x - $x_{1}$ )(x - $x_{2}$ )

D = b² - 4ac

$x_{12}$ = ( - b ± √D ) / 2a

~~~~~~~~~~~~

Let x² = y , then y² + 8y - 9

Find the roots of equation y² + 8y - 9 = 0

D = 64 + 36 = 100 = 10²

$y_{1}$ = ( - 8 - 10) / 2 = - 9

$y_{2}$ = ( - 8 + 10) / 2 = 1

y² + 8y - 9 = (y - 1)(y + 9) = (x² - 1)(x² + 9)

x² = 1 ⇒ $x_{12}$ = ± √1

$x^{4}$ + 8x² - 9 = (x - 1)(x + 1)(x² + 9)

5 0

3 years ago