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ivann1987 [24]
3 years ago
11

Can anybody show me how to do this

Mathematics
2 answers:
mixas84 [53]3 years ago
7 0
To find the x-intercept, substitute in <span>00</span> for <span>yy</span> and solve for <span>xx</span>.<span><span><span>(0)</span>=<span><span><span>−<span>x2</span></span>+<span>10x</span></span><span>−16</span></span></span><span>0=<span><span><span>-<span>x2</span></span>+<span>10x</span></span><span>-16</span></span></span></span>Since <span>xx</span> is on the right side of the equation, switch the sides so it is on the left side of the equation.<span><span><span><span><span>−<span>x2</span></span>+<span>10x</span></span><span>−16</span></span>=0</span><span><span><span><span>-<span>x2</span></span>+<span>10x</span></span><span>-16</span></span>=0</span></span>Factor the left side of the equation.Tap for more steps...<span><span><span><span>−<span>(<span>x<span>−8</span></span>)</span></span><span>(<span>x<span>−2</span></span>)</span></span>=0</span><span><span><span>-<span>x<span>-8</span></span></span><span>x<span>-2</span></span></span>=0</span></span>Set <span><span>x<span>−8</span></span><span>x<span>-8</span></span></span> equal to <span>00</span> and solve for <span>xx</span>.Tap for more steps...<span><span>x=8</span><span>x=8</span></span>Set <span><span>x<span>−2</span></span><span>x<span>-2</span></span></span> equal to <span>00</span> and solve for <span>xx</span>.Tap for more steps...<span><span>x=2</span><span>x=2</span></span>The solution is the result of <span><span><span>x<span>−8</span></span>=0</span><span><span>x<span>-8</span></span>=0</span></span> and <span><span><span>x<span>−2</span></span>=0</span><span><span>x<span>-2</span></span>=0</span></span>.<span><span>x=8,2</span><span>x=8,2</span></span>To find the y-intercept, substitute in <span>00</span> for <span>xx</span> and solve for <span>yy</span>.<span><span>y=<span><span><span>−<span><span>(0)</span>2</span></span>+<span>10<span>(0)</span></span></span><span>−16</span></span></span><span>y=<span><span><span>-<span>02</span></span>+<span>100</span></span><span>-16</span></span></span></span>Solve the equation.Tap for more steps...<span><span>y=<span>−16</span></span><span>y=<span>-16</span></span></span>These are the <span>xx</span> and <span>yy</span> intercepts of the equation <span><span>y=<span><span><span>−<span>x2</span></span>+<span>10x</span></span><span>−16</span></span></span><span>y=<span><span><span>-<span>x2</span></span>+<span>10x</span></span><span>-16</span></span></span></span>.x-intercept: <span><span><span>(<span>8,0</span>)</span>,<span>(<span>2,0</span>)</span></span><span><span>8,0</span>,<span>2,0</span></span></span>y-intercept: <span>(<span>0,<span>−16</span></span><span>)</span></span>
Naddik [55]3 years ago
3 0
You want to write this equation in the form (x+...)(x+...) (maybe with a minus sign). To do this, find numbers that, when multiplied, give 16, and when added give -10.

What whole numbers give 16?
1*16 and -1*-16
2*8 and -2*-8
4*4 and -4*-4

Which of these solutions, when changed into a sum, give -10?
Try them one by one and find it is:

-2-8 = -10.

So (x-2)(x-8) is the factorization!

This is really a bit of trial and error, but since most of the time the assignments deals with whole numbers, there aren't that many possibilities.

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hukh

8 0
3 years ago
Miles and Lucy decide to sell lemonade to earn some money. They buy pitchers, ice, and mix for a cost of $13.50. The mix makes 8
sleet_krkn [62]

Answer:

Altogether they made $24 which is enough to earn $12 each

Step-by-step explanation:

Important information:

1 cup: $0.75

4 cups = 1 quart

8 quarts of lemonade altogether

If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart

Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply

0.75 × 4 = 3

They make $3 per 1 quart

We are looking for the amount for 8 quarts though, not just 1. Again we must multiply

3 × 8 = 24

They will make $24 if they sell all 8 quarts

The questions ask if they will <em>each</em> earn $12

Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people

24 ÷ 2 = 12

$12

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3 years ago
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