MATHEMATICS HIGH SCHOOL

Faye and Andrew have written down the same negative number.Faye squares the number then multiplies by 2 and adds 4.
Andrew multiples the number by 21 then subtracts the result from 40.
They both finish with the same answer. What was the number?

Answers

Answer 1
Answer: x - the number

Faye squares the number: x²
then multiplies by 2: 2x²
and adds 4: 2x²+4

Andrew multiplies the number by 21: 21x
then subtracts the result from 40: 40-21x

They both finish with the same answer, so the results are equal.
2x^2+4=40-21x \n2x^2+21x+4-40=0 \n2x^2+21x-36=0 \n2x^2+24x-3x-36=0 \n2x(x+12)-3(x+12)=0 \n2x-3=0 \ \lor \ x+12=0 \n2x=3 \ \lor \ x=-12 \nx=(3)/(2) \ \lor \ x=-12

The number is negative so x=-12.

The number is -12.

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Gerard has $30 to spend on lunches this month. Lunch costs him $1.50 each day. After Gerard buys lunch for 8 days, which statement is true?Gerard has spent less than 12 of his lunch money.


Gerard has spent 12 of his lunch money.


Gerard has spent more than 12 of his lunch money.


Gerard has spent almost all of his lunch money.

Answers

Answer:  The correct option is

(A) Gerard has spent less than (1)/(2) of his lunch money.

Step-by-step explanation:  Given that Gerard has $30 to spend on lunches this month that costs him $1.50 each day.

We are to find the correct statement after Gerard buys lunch for 8 days.

We have

Cost of Lunch for one day = $1.50.

So, cost of lunch for 8 days will be

\$(1.50* 8)=\$12.

That is, Gerard has spent $12 of his lunch money in 8 days.

Also, the total amount of money Gerard has for lunch = $30.

So, half of the lunch money will be

(30)/(2)=\$15.

Since, 12 < 15, so Gerard has spent less than (1)/(2) of his lunch money.

Thus, option (A) is correct.

Gerard has spent less than 1/2 of his lunch money.

If 3x-1=11,what is the value of x^2+x

Answers

We can set the 2nd equation to y that way we have something to solve for
\left \{ {{3x-1=11} \atop {x^2+x=y}} \right.
First we solve our first equation by moving the one to the other side
3x=12
Then we divide by 3 on each side
x=4
So now we can plug 4 into the x's of the 2nd equation
4^2+4=y\n 16+4=y\n 20=y

Find the zeros of x3 +2X^2-23x-60

Answers

Hello,

P(x)=x^3+2x²-23x-60
P(-4)=(-4)^3+2*(-4)²-23*(-4)-60=0
P(-3)=(-3)^4+2*(-3)²-23*(-3)-60=0
P(5)=5^3+2*5²-23*5-60=0
Zeros are -4,-3,5

There is a sale on produce at the local supermarket. Strawberries are ½ price if you buy more than 45 ounces. The scale only measures in pounds. How many pounds would you have to buy to receive the discount

Answers

Answer:

3 pounds

Step-by-step explanation:

a pound is 16oz so 3x16=48

What percent increase is it to go from $1.25 to $1.50?

Answers

1.25x=1.50. Solve for X and covert 1.2 into a percentage by multiplying by 100 which is 120%.

What is negative 5/12 minus 7/9

Answers

-5/12 - 7/9 =-43/36
first find common denominators 36 so you multiply -5/12 by 3 and 7/9 by 4 to get -15/36-28/36 to get -43/36
either -1.194444444, or -43/36
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