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4vir4ik [10]
3 years ago
11

What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=1/3x−1?

Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0

Answer:

B

Step-by-step explanation:

sope intercept form: (y=mx+b)

m = slope

m = 1/3 (slope of parallel lines are the same)

10 = 1/3(6)+b

10 = 2+b

b = 8

write with slope and b

y = 1/3x+8

The answer is B

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If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ? (w0r)(x)
TiliK225 [7]

Answer:

The range would be all real numbers

Step-by-step explanation:

In order to find (wor)(x), we need to start with the w(x) equation and then input the r(x) equation for every x in the w(x) equation.

w(x) = x - 2

(wor)(x) = (2 - x^2) - 2

(wor)(x) = -x^2

Given this equation, we know that x can be all real numbers

4 0
3 years ago
Read 2 more answers
Question 2 of 10
artcher [175]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo
taurus [48]

Answer:

We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

  • Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

  1. 1+2+4+8+16+32+64+128+256+489=1000
  2. Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
  3. If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since x-489\leq511, by 2) we know that this would be possible.

4 0
3 years ago
How many gallons of a 70​% antifreeze solution must be mixed with 60 gallons of 20​% antifreeze to get a mixture that is 60​% ​a
Flura [38]

We have 60 gallons of 20% antifreeze.

How much 70% antifreeze do we add to get 60% antifreeze?

We'll make "x" the gallons of 70% we must add.

.20 * 60 + .70 x = .60 * (60 + x)

12 + .70x = 36 + .60x

.10x = 24

x = 240 gallons of 70% antifreeze.

Source

1728.com/mixture.htm (see example B)


4 0
3 years ago
(Please help with these) (Im stuck on these)
Dvinal [7]
1 is B.
2 is x > 3
4 is d+0.06d

I don't know 3, but I'll ask it for you, since you don't have many points.
3 0
3 years ago
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