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dybincka [34]
3 years ago
14

Algebra 2.. Please help!

Mathematics
2 answers:
leva [86]3 years ago
7 0
Only C works because -168 +160 gives -8
Artist 52 [7]3 years ago
7 0
Given 
\left \{ {{2x-4y=24} \atop {-6x+20y=-8}} \right.,
we can use Gaussian elimination to find the point of intersection.

Let's find a term we want to cancel. We could either multiply the first equation by 3 to cancel the x-terms, or multiply by 5 to cancel the y-terms.

5(2x-4y=24) = 10x-20y=120


10x-20y=120 \\  \\ -6x+20y=-8 \\ \\ \\ 4x=112 \\ \\ x = 28

We have now solved for x, but we need to find y. We can substitute our value for x back into any of the two equations.

2(28)-4y=24  \\  \\ 56-4y=24  \\  \\ -4y=-32 \\  \\ y = 8

So, the point is (28, 8).

Answer choice C.

If your teacher doesn't require you to show your work (and this tip is especially useful for the SAT and ACT), you can save a lot of time by simply plugging-in the solutions from the answer choices to see which one works.
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Diano4ka-milaya [45]
13 - (x+2) = 8
subtract 13 from both sides
-(x+2) = -5
divide by -1 to get rid of negative
(x+2) = 5
subtract 2 from both sides
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7 0
3 years ago
Write the equation for the following relation. R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .} and show work
timama [110]

Let

A(4,5) B(8,7) C(12,9) D(16,11)

1) Find the slope AB

m=(y2-y1)/(x2-x1)

m=(7-5)/(8-4)=0.5

2) Find the slope BC

m=(9-7)/(12-8)=0.5

3) Find the slope CD

m=(11-9)/(16-12)=0.5

The points represent a linear function

so

<u>Find the equation of the line with m=0.5 and the point A(4,5)</u>

we know that

y-y1=m*(x-x1)

y-5=0.5*(x-4)

y=0.5*x-2+5

y=0.5*x+3

therefore

<u>the answer is</u>

The equation is equal to y=0.5*x+3

8 0
2 years ago
The following spinner has four sections. There are equal sections for 1, 4, and 3. The section for 2 is twice as large as each o
Airida [17]

Answer:

gorge bush doesn't care

Step-by-step explanation:

about black people ~ ye

6 0
2 years ago
As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first 6 bicycles he sells, $12
wlad13 [49]

Answer:

A. I only

I. y>2x

Step-by-step explanation:

I. y>2x

He sold x bicycles last week and y bicycles this week,  this week, he earned more than twice as much as he did last week. Therefore more than twice means greater than 2 x or

y>2x

II. y>x This is not true because y could be greater than x and less than twice of x (2x)

III. y>3 This is also not true because the least he would be earning would be $ 20 and he could get earn greater than 3 and less than $ 20 which would again be contradictory to the given statement

4 0
3 years ago
According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

5 0
3 years ago
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