Determine the number of solutions based on the graph for the following system of equations. 3x + 5y = 12 −32 + 15y = −9x .

Answers

Answer 1

Answer: There is no solutions when you solve this algebraically, it ends up with 4 = 0 which is not true. When you graph it, the two equations are parallel, so there is no real solution.

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Tell whether x and y show direct variation.
xy=5

Answers

Form of direct variation looks like y = kx, where k is any constant number (2, 3/4, 1/3, etc)

So here you have xy = 5.

Divide both sides by x, and you have y = 5/x.

So it is not direct variable, it is inverse variation.

direct variation is when a=x/y a stays constant so when x goes up, then y also goes up so lets say a=2 then 2=x/y so if x is 2 then y=1 if x is 4 then y=2

indirect variation is a=xy where when x goes down y goes up so less say a=2 then if x=2 then y=1 if x=1 then y=2

for number 9. it shows direct variation because when x goes up, y also must go up

Suppose you earn $6 per hour at your part-time job.What will your new hourly rate be after a 2.5% raise? Explain.

Answers

The new hourly rate after a 2.5% raise will be $6.15.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Suppose you earn $6 per hour at your part-time job. The new hourly rate is after a 2.5% raise.

Let x be the new hourly rate. Then the equation is given as,

x = $6 x (1 + 2.5%)

x = $6 x (1 + 0.025)

x = $6 x 1.025

x = $6.15

The new hourly rate after a 2.5% raise will be $6.15.

More about the percentage link is given below.

brainly.com/question/8011401

#SPJ2

First change 2.5% to a decimal by dividing by 100. 2.5÷100=0.025. Then multiply 6 by 0.025. 6×0.025=0.15. Finally add 0.15 to 6 for the answer. 6+0.15=6.15.
So the answer is $6.15.

Need help what’s the correct answer for this question?

Answers

Answer:

Step-by-step explanation:

A scale factor of 4/5 means that each side length or distance is multiplied by 4/5. 10*4/5=8. Hope this helps!

Find the GCF of 200 and 75. A.
15

B.
25

C.
50

D.
75

Answers

the answer for your question

is b.25

1. Find three consecutive integers such that the sum of the first and twice the thirdinteger is 93 more than the second integer

Answers

Answer:

Step-by-step explanation:

Let (x), (x+1), and (x+2) be the three consecutive integers.

Put the words into expressions

Sum of the 3rd and twice the 3rd: (x)+2(x+2)

93 more than the second integer: 93+(x+1)

Now you can set up the equation and solve:

(x)+2(x+2)=93+(x+1)

Distribute and combine like terms

x+2x+4=94+x

3x+4=94+x

2x=90

x=45

So the 3 consecutive integers are 45, 46, 47.

Plug back in to check.

Prove the identity cos(x-y)-cos(x+y)=2sinx siny

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Addition/ Subtraction formulae for cosine

Consider the left side

cos(x - y) - cos(x + y)

= cosxcosy + sinxsiny - (cosxcosy - sinxsiny) ← distribute

= cosxcosy + sinxsiny - cosxcosy + sinxsiny ← collect like terms

= 2sinxsiny = right side ⇒ proven

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