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3 years ago

What is the solution to x=1/2y-3 and y=2x+6

Mathematics

1 answer:

Tom [10]3 years ago

3 0

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2 so we don't have fractions.

x = 1/2y - 3 becomes 2x = y - 6

Now substitute the second equation into the y-value of the new equation

2x = (2x + 6) - 6

2x = 2x

x can equal anything. this means there are infinite solutions

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What's the gcf of 47 and 17

ElenaW [278]

Answer:

The GCF of 47 and 17 is 1

Step-by-step explanation:

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2 years ago

Can someone help?

babymother [125]

Answer:

0, 3, 8, 15, 24
y = x² + 2x

Step-by-step explanation:

The pattern is

Step 1 ⇒ 1*3 = 3
Step 2 ⇒ 2*4 = 8
Step 3 ⇒ 3*5 = 15

Next step would be

Step 4 ⇒ 4*6 = 24

Step zero would be

Step 0 ⇒ 0*2 = 0

The equation

y = x(x + 2) = x² + 2x

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3 years ago

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Here is a linear equation: y = 1/4x +5/4

docker41 [41]

Step-by-step explanation:

(1,1.5) is the solution but (12,4) is not the solution of given equation.

1.5=1/4×1+5/4(which is true)

4=1/4×12+5/4(which is false)

3 0

2 years ago

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20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an

STatiana [176]

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

$n(A)=14$

$n(B)=11$

$n(A\cup B)=20$

We know that,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=14+11-n(A\cap B)$

$20=25-n(A\cap B)$

Subtract both sides by 25.

$20-25=-n(A\cap B)$

$-5=-n(A\cap B)$

$5=n(A\cap B)$

We need to find the number of people who have a school certificate only, i.e. $n(A\cap B')$ .

$n(A\cap B')=n(A)-n(A\cap B)$

$n(A\cap B')=14-5$

$n(A\cap B')=9$

Therefore, 9 people have a school certificate only.

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2 years ago

The cable provider's "triple play" package offers a land line, internet service, and cable TV for one fixed price. If you alread

cupoosta [38]

Answer:

$166.16, you would have to subtract 132 by 12% or .12 and would get 166.16 :)

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3 years ago

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