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horsena [70]
3 years ago
13

Factor completely. (X^2+ x – 6)(2x^2 + 4x) = What’s the answer

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0

Answer:

(X^2+x−6)⋅2x(x+2

Step-by-step explanation:

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En said the value of the expression 72-8^2 +6*3 is 50. What mistake did Ben make? Correct Ben’s mistake and give the value of th
posledela

Given:

72-\frac{8}{2}+6\times3

He does mistake in the order of giving preference.

We should give preference in the order, division, multiplication, addition, subtraction.

But, he gave the first preferrence to the subtraction.

72-8=64

Next, he used division

64/2=32

Next he adds 32 with 8.

So, he gets 50.

But the actual simplification is,

Simplifying we get,

\begin{gathered} 72-\frac{8}{2}+6\times3=72-4+18 \\ =68+18 \\ =86 \end{gathered}

Hence, the correct value of the expression is 86.

7 0
1 year ago
What's the answer? pls help
Sunny_sXe [5.5K]

Answer: -2

I'm not so sure what it means by slope, but because I saw a pattern between x and y (it decreases by 2 every x value and decreases by 4 every TWO x values) values so I would pick -2. BUT I don't know if the answer is -4.

Step-by-step explanation:

7 0
3 years ago
A company donates 2,292 gifts to a school. the gifts are diveded evenly among 19 classrooms. The rest of the gifts are given to
BARSIC [14]

Answer:

<em>Each classroom received 120 gifts and the hospital received 12 gifts</em>

Step-by-step explanation:

<u>Division As Evenly Distribution</u>

The first concept we manage when learning about divisions is how to distribute an amount N among m elements such as everyone receives the same amount.

If the nature of the problem allows distributing decimal portions of N, then every receiver gets exactly the same amount N/m.

But things are different when the division must be an integer number. For example, if we wanted to divide gifts, we cannot give partial gifts. So the correct division is a matter of the study of integer numbers.

If N is divisible by m, i.e. there is no remainder in the division, then each element will receive N/m gifts. But what if they are not divisible? We must divide and take the integer part of the division and discard the remainder

We want to divide 2,292 gifts to the school, where there are 19 classrooms. If we divide 2,292/19 we get 120 and a remainder of 12.

Answer. Each classroom received 120 gifts and the hospital received 12 gifts

6 0
3 years ago
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.
noname [10]

Answer:

Width = 4ft

Height = 4ft

Length = 8ft

Step-by-step explanation:

Given

Volume = 128ft^3

L = 2W

Base\ Cost = \$9/ft^2

Sides\ Cost = \$6/ft^2

Required

The dimension that minimizes the cost

The volume is:

Volume = LWH

This gives:

128 = LWH

Substitute L = 2W

128 = 2W * WH

128 = 2W^2H

Make H the subject

H = \frac{128}{2W^2}

H = \frac{64}{W^2}

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

A = LW + 2(WH + LH)

The cost is:

Cost = 9 * LW + 6 * 2(WH + LH)

Cost = 9 * LW + 12(WH + LH)

Cost = 9 * LW + 12H(W + L)

Substitute: H = \frac{64}{W^2} and L = 2W

Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)

Cost =18W^2 +  \frac{768}{W^2}*3W

Cost =18W^2 +  \frac{2304}{W}

To minimize the cost, we differentiate

C' =2*18W +  -1 * 2304W^{-2}

Then set to 0

2*18W +  -1 * 2304W^{-2} =0

36W - 2304W^{-2} =0

Rewrite as:

36W = 2304W^{-2}

Divide both sides by W

36 = 2304W^{-3}

Rewrite as:

36 = \frac{2304}{W^3}

Solve for W^3

W^3 = \frac{2304}{36}

W^3 = 64

Take cube roots

W = 4

Recall that:

L = 2W

L = 2 * 4

L = 8

H = \frac{64}{W^2}

H = \frac{64}{4^2}

H = \frac{64}{16}

H = 4

Hence, the dimension that minimizes the cost is:

Width = 4ft

Height = 4ft

Length = 8ft

8 0
3 years ago
What is the solution to the inequality? 17 &lt; 9 + x
dezoksy [38]

Answer:

x > 8

Step-by-step explanation:

Given

17 < 9 + x ( subtract 9 from both sides )

8 < x , hence

x > 8

7 0
3 years ago
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