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3 years ago

Help me solving number 22 & 24. Thanks:)

Mathematics

1 answer:

aksik [14]3 years ago

5 0

Answer:

Question 22

x intercept is 7

y intercept is 4

The answer is C

Question 24

x intercept is -4

y intercept is 7

The answer is B

Step-by-step explanation:

x and y intercepts are the points at which the graph meets x and y axes.

x and y intercepts can be found the following way,

y intercept - substitute 0 to x

x intercept - substitute 0 to y

Question 22

$7y=28-4x$

Substitute x=0 to find the y intercept

$7y=28-4*0$

= $7y=28$

= $y=4$

Substitute y=0 to find x intercept

$7*0=28-4x$

= $0=28-4x$

= $4x=28$

= $x=7$

Therefore,

x intercept is 7

y intercept is 4

The answer is C

Question 24

$4y=7x+28$

Substitute x=0 to find the y intercept

$4y=7*0+28$

= $4y=28$

= $y=7$

Substitute y=0 to find x intercept

$4*0=7x+28$

= $0=7x+28$

= $-7x=28$

= $x=-4$

Therefore,

x intercept is -4

y intercept is 7

The answer is B

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In other words, new enrollmeny is 57.1% of the previous one

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3 years ago

Which of these expressions are equivalent to 4x+2(2x−5)−(3−5x) ? Choose the TWO correct answers. 3x−13

Julli [10]

Answer: 4x+2(2x−5)−(3−5x) = 8x-10-3+5x

Step-by-step explanation: We need to find the equivalent expression to 4x+2(2x−5)−(3−5x).

Using distributive property as follows :

a(b+c) = ab+ac

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Option (e)

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3 years ago

An employee worked 36 hours last week. This week, she worked 15% less hours. How many hours did she work this week?

Lelu [443]

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3 years ago

What is the nth term rule of the quadratic sequence below? 8,14,22,32 ,44, 58, 74...

DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

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3 years ago

QUICKLY PLEASE!! 18POINTS! 6(3p – 2) = 24

Gekata [30.6K]

Answer:

p= 2

Step-by-step explanation:

So first you want to distribute the 6 to 3p-2 which basically means multiply

6(3p – 2) = 24

6 times 3p is 18 and 6 time -2 is -12

* remember a negative and a positive equal a negative*

18p-12=24

you want to get 18p by itself, so in order to do that you can add 12 to both sides because if you add 12 on the left side it cancels out -12 and whatever you do to one side you have to do it to the other so add 12 to 24 which is 36

18p = 36

since you want to get p by itself you divide p on both sides so it can cancel out 18 and 36/18 is 2

so p = 2

if you are wondering why i divide it and not subtract or add it is because 18 and p are stuck together so you have to divide but if it was like 18 + p you can subtract because 18 and p arent together

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3 years ago