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3 years ago

Which linear equation represents on the graph

Mathematics

1 answer:

s2008m [1.1K]3 years ago

4 0

Remember, rise/run is the easiest way to determine slope

y=mx+b is form

mx is slope, whilst b is y int

so, answer? y=-3x-2

Or A.

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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0

3 years ago

Which of the following are examples of inferential statistics?

alexgriva [62]

The answer is B. Testing random samples of wild animals to decide whether they are healthy

5 0

3 years ago

Can you help me get the answer for <br> 1/3+1/4<br> plz

Ivahew [28]

7/12 is the answer :)

6 0

3 years ago

Read 2 more answers

The first time a census was taken in Esinville, the population was 12,621. Each year after that, the population was about 6% hig

Sedbober [7]

Step-by-step
Population was 12.621 when it was measured

Next year it rose by 6%, so add that 6% to 100% and multiply with population measured

12.621 × (100%+6%) = 12.621 × 106% = 13.379,24

Since a man cant be 0,24, we count that as +1

13.379,24 = 13.379 + 1 = 13.380

That was for a year after measurement, now let's calculate for another year
Now, add those 6% to a new population number

13.380 × (100%+6%) = 13.380 × 106% = 14.182,8

since 0,8 isn't a man, instead we add again +1

14.182,8 = 14.182 + 1 = 14.183

now let's do it for another year after last, by adding those 6% to a newest population number

14.183 × (100%+6%) = 14.183 × 106% = 15.033,98

round it again to +1, since 0.98 isn't a man

15.033,98 = 15.033 + 1 = 15.034

that is it, now graph is in the picture.

8 0

3 years ago

In the figure below an you can see the pic plis help

Anni [7]

The measure of angle 1 and 2 should add up to 180°, because it forms a straight line. The same goes for the sum of angle 3 and 4.

Since we are given the measure of angle 2, we can find the measure of angle 1 by subtracting 143° from 180°.

180°-143° = 37°

We know that the intersecting lines form 2 sets of vertical angles, which are congruent. This means that the angles opposite from each other have the same measure. Therefore, both angle 2 & 4 have a measure of 143°, while angle 1 & 3 have a measure of 37°.

4 0

3 years ago