All categories

3 years ago

Please solve the question with steps.

Mathematics

1 answer:

ad-work [718]3 years ago

8 0

9514 1404 393

Answer:

c. x + 6

Step-by-step explanation:

The factorization is ...

x(x -3)(x -6)

The factor on the list that is not part of the above expression is (x +6).

_____

<em>More detail</em>

Factoring x from each term gives ...

x(x^2 -9x +18)

Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).

= x(x -3)(x -6)

You might be interested in

Kendall is stacking boxes that are 7.5inches tall. Explain how to find the height (in inches)

LenKa [72]

You can find the height by finding out the number of boxes and plugging it into an equation. Height = 7.5(Number of Boxes)

5 0

4 years ago

Given 7x + 2 ≥ 58, which number is not in the solution set?

Natasha_Volkova [10]

Answer:

i can't see the rest of the question so i don't know the answer choices but:

since x≥8

whichever choice is less than 8 is incorrect

step-by-step explanation:

i can't see the rest of the question so i don't know the answer choices but:

7x≥56

x≥8

4 0

3 years ago

In which number is the value represented by the digit 9 equal to 1/10 of the value represented by the digit 9 in the number 73,9

marshall27 [118]

Answer: 90

Step-by-step explanation:

In the number 73,951, the digit 9 is on the third position, so you need to put the number of the position minus one zeros before it: ( position number 3, 3 - 1 = 2, so we put 2 zeros)

the 9 in that digit represents a 900.

now, 1/10 times that number is:

900*(1/10) = 900/10 = 90

then the answer is 90.

In the number 90, the value represented by the 9 is equal to 1./10 times the value represented by the 9 in 73,951

3 0

3 years ago

Elan Coil [88]

Answer: Initial height before launch

Step-by-step explanation:

Given

The equation $y=-9.8t+109.7t+7.4$ the height of toy rocket after t sec

when the rocket is launched, time is $t=0$

Substituting 0 for $t$ in the equation

$\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4$

Here, $7.4$ represents that rocket is already at a height of $7.4$ m before the launch.

5 0

3 years ago

3 bags and 4 pens together cost 950 dollars whereas 4 bags and 3 pens cost 1150 dollars write two simultaneous equations

Flauer [41]

-----------------------------------------------------------------------------------------
Given information
-----------------------------------------------------------------------------------------
3 bags + 4 pens = $950
4 bags + 3 pens = $1150

-----------------------------------------------------------------------------------------
Form the 2 equations
-----------------------------------------------------------------------------------------
Let x be the cost of 1 bag.
Let y be the cos of 1 pen.

3x + 4y = 950
4x + 3y = 1150

-----------------------------------------------------------------------------------------
Solve for x and y
-----------------------------------------------------------------------------------------
3x + 4y = 950 -------------- (1)
4x + 3y = 1150 ------------- (2)

----------------------------------------------------------------------------------------
Equation (1) x 4
----------------------------------------------------------------------------------------
12x + 16y = 3800 ------------- (1a)

----------------------------------------------------------------------------------------
Equation (2) x 3
----------------------------------------------------------------------------------------
12x + 9y = 3450 ------------- (2a)

----------------------------------------------------------------------------------------
Equation (1a) - (2a)
----------------------------------------------------------------------------------------
(12x + 16y) - (12x + 9y) = 3800 - 3450
7y = 350
y = 350 ÷ 7
y = 50

----------------------------------------------------------------------------------------
Substitute y = 50 into equation (1)
----------------------------------------------------------------------------------------
3x + 4 (50) = 950
3x + 200 = 950
3x = 950 - 200
3x = 750
x = 250

----------------------------------------------------------------------------------------
Find cost of a bag and a pen
----------------------------------------------------------------------------------------
Bag = x = $250
Pen = y = $50

----------------------------------------------------------------------------------------
Answer: The bag cost $250 and the pen cost $50
----------------------------------------------------------------------------------------

3 0

3 years ago