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Alona [7]
3 years ago
10

Solve each system by substitution. y = 2x + 5 3x - y= -6

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0
X=-1 and y=3

To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.

You now have 3x - (2x + 5) =-6

This can be solved like a normal equation. Multiply each term in the parenthesis by -1.

3x - 2x - 5 = -6

Subtract 2x from 3x

x - 5 = -6

Add 5 to both sides

x=-1

Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.

y= 2(-1)+5
y= -2+5
y=3

You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.
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You have 4 reindeer, Bloopin, Balthazar, Gloopin, and Prancer, and you want to have 3 fly your sleigh. You always have your rein
Ivahew [28]

Answer:

P43=4!(4–3)!=241=24

Step-by-step explanation:

There are four choices you can make for the lead reindeer. For each possible choice, there are then three remaining you can choose to fly second, making 4×3=12 choices for the lead pair. For each possible choice there are two remaining reindeer to take up the back position, making 12×2=24 choices for the team of three.

This type of problem is called a permutation problem, and we write Pnr for the number of ways of choosing r items from n possibilities when the order of the items matters. In this case we are choosing 3 reindeer from 4 possibilities, and the order they appear in the flying line does matter, so the answer we want is P43. The general formula is Pnr=n!(n−r)!. For the answer we are looking for we therefore have:

P43=4!(4–3)!=241=24

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4 years ago
Transform the given function f(x) as described.
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Answer:

D

Step-by-step explanation:

g(x) = (x - 2)^3 + 3

3 0
3 years ago
Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the di
san4es73 [151]

Answer:

682,000 miles

Step-by-step explanation:

Using the ratio of 186,000 miles per second:

\frac{miles}{second}=\frac{186,000}{1}

we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon

\frac{186,000}{1}=\frac{x}{\frac{11}{3}} where 'x' is the number of miles between the earth and the moon

Cross-multiply:  x = 186,000*\frac{11}{3}

Solve for x = 682,000 miles

7 0
3 years ago
How could you use translations to draw a cube
slamgirl [31]

Answer:

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Step-by-step explanation:

4 0
3 years ago
In the diagram below, every pair of segments which do not intersect are parallel, and the measure of angle k is 89 degrees. What
solong [7]
From the figure shown:
Given that k=89, then:
c=g=k=o=s=w=89
b=f=j=n=r=v=89
d=h=l=p=t=x=180-89=91
a=e=i=m=q=u=91
thus the sum of <span> s,e,q,u,o,i,a will be:
</span>s+e+q+u+o+i+a
=89+91+91+91+89+91+91
=633°

Answer: 633°
4 0
3 years ago
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