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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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In parallelogram PQRS, find the value of angle SPR if angle RSP is 75° and angle PRS is 39°.
Mazyrski [523]
The two angles given are two angles of a triangle, so the third angle must be:

SPR=180-RSP-PRS

SPR=66°
4 0
3 years ago
Write the decimal represented by each point.
victus00 [196]

Answer:

A) ,8

B) .3

C) .5

D) .2

5 0
3 years ago
Read 2 more answers
What number decreased by 3.5 equals to 12.7 ?
Snowcat [4.5K]
What number = x

x - 3.5 = 12.7

Isolate the x, add 3.5 from both sides

x - 3.5 (+3.5) = 12.7 (+3.5)

x = 12.7 (+3.5)

x = 16.2

16.2 is your answer


hope this helps
5 0
3 years ago
Read 2 more answers
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
nalin [4]

Answer:

$519

Step-by-step explanation:

Given the amount of profit made expressed as y=-2x^2+105x-859

At maximum profit, dy/dx = 0

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Substitute into the original function

y=-2x^2+105x-859

y=-2(26.25)^2+105(26.25)-859

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519

8 0
3 years ago
Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long
Ne4ueva [31]

We are given

Jim's backyard:

Length is

L=15\frac{5}{6} =\frac{95}{6} yards

width is

W=10\frac{2}{5} =\frac{52}{5} yards

Since, this is rectangle

so, we can find area of rectangle

A=L*W

A=(\frac{95}{6})*(\frac{52}{5})

A=\frac{494}{3} yard^2

Area of one sod:

length is

l=1\frac{1}{3} =\frac{4}{3} yards

width is

w=1\frac{1}{3} =\frac{4}{3} yards

Since, it is rectangle in shape

so,

Area=l*w

A=\frac{4}{3}*\frac{4}{3}

A=\frac{16}{9}yard^2

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

N=\frac{\frac{494}{3} }{\frac{16}{9} }

now, we can simplify it

N=\frac{741}{8} pieces need ..............Answer

7 0
3 years ago
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