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Bezzdna [24]
3 years ago
11

1. Factor. 4x2 + 20x

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0
1.
4x^2 + 20x
= 4x(x + 5)

2.
x^2 - 12x = 64
x^2 - 12x - 64 = 0
(x - 16)(x + 4) = 0
x - 16 = 0 or x + 4 = 0
x = 16 or x = -4
x = {-4, 16}
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4^2 -6 (4 to the second power minus 6) *
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Step-by-step explanation: you have to simplify for it to equal 10

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5 times a number increased by 2 is the same as 8 more than 3 times the number. Find the number
wariber [46]

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5 times a number increased by 2 is the same as 8 more than 3 times the number.

Step-by-step explanation:

8 0
3 years ago
Make a table of values and create a line of best fit
Anni [7]
<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}

As you can see, x increases in steps of 1 units. So let's check the difference in y:

\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope

Then:

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\boxed{y=2x}

4 0
3 years ago
What is 4 divided by 3/10
jarptica [38.1K]

Answer:

The answer is 40/3

Step-by-step explanation:

To find this answer, note that dividing by a fraction is the same as multiplying by its reciprocal.

4 ÷ 3/10

4 × 10/3

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6 0
3 years ago
Colin &amp; Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife &amp; th
Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets \frac{4}{4+1} = \frac{4}{5} of the prize.

\frac{4*2100}{5} = 1680

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets \frac{2}{2+3+5} = \frac{2}{10}, his wife gets \frac{5}{2+3+5} = \frac{5}{10} and his son gets \frac{3}{2+3+5} = \frac{3}{10}

Wife:

\frac{5*1680}{10} = 840

His wife got $840.

Son:

\frac{3*1680}{10} = 504

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0
3 years ago
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