MATHEMATICS HIGH SCHOOL

The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + xz2 + yz – 24. What is the value of x? What is the value of y?

Answers

Answer 1

Answer:

Answer:

Hence, the value of x is 5 and y=29

Step-by-step explanation:

We are asked to find the product of $4z^2+7z-8$ and $(-z+3)$ and equate it to the equation:

$-4z^3 + xz^2 + yz-24$ and find the values of x and y in the second equation.

The product of $4z^2+7z-8$ and $(-z+3)$ is:

$(4z^2+7z-8)*(-z+3)= (4z^2+7z-8)*(-z)+3* (4z^2+7z-8)\n=-4z^3-7z^2+8z+12z^2+21z-24=-4z^3+5z^2+29z-24$

Hence on comparing with $-4z^3 + xz^2 + yz-24$ we have:

$-4z^3 + xz^2 + yz-24=-4z^3+5z^2+29z-24$

so we get that x=5, y=29

Answer 2

Answer: x = 5
y = 29

When you multiply the trinomial and the binomial, you get
-4z^3 + 5z^2 + 29z - 24 . The coefficient of the z^2 term is 5 and the coefficient of the z term is 29.

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The 162-room BeeGee Hotel, located just outside Philadelphia, Pennsylvania, requires room attendants to clean 18 rooms per day. If the hotel is forecasting a full house next Monday, how many guest room attendants will be needed to cover the day's cleaning tasks?

a big cruise ship dropped anchor off the Caribbean island of antigua. the heavy anchor dropped into the water at a rate of 2.5 meters per second after 45 seconds the anchor was 40 meters below the waters surface. from what height above the water surface was the anchor released? how long did it take the anchor the reach the water surface?

Answers

Falling at the rate of 2.5 m/s for 45 seconds, the anchor fell

(2.5 m/s) x (45 s) = 112.5 meters .

If it wound up only 40 meters underwater, then it must have fallen

(112.5 m - 40 m) = 72.5 meters

from its storage position on the big cruise ship,
before it ever reached the water.

Since it was falling at the rate of 2.5 m/s, it took

(72.5 m) / (2.5 m/s) = 29 seconds

to get down to the water surface after it started dropping.

What does one half divided by four equal?

Answers

the answer is 1/8 or 0.125 or it can be 12.5%

1/2/4=
1/2*1/4
=1/8
20 charrr

Find the value of the combination.A farmer buys three cows, two pigs, and ten sheep from a seller who has seven cows, four pigs, and ten sheep. How many choices of animals does he have?

54,264
210
42

Answers

It's past my bed-time and there's a whopping 5 points at stake, so
I'm going to violate my own #1 Prime Cardinal Rule here, and just
give a stripped down answer without going through a full explanation.

The number of combinations of 3 cows out of 7 is (7·6·5) / 3! = 35 .

The number of combinations of 2 pigs out of 4 is (4·3)/2 = 6

The number of combinations of 10 sheep out of 10 is 1 .

The number of ways he can select his animals is (35 · 6 · 1) = 210 .

What is an equation of the line that passes through the point (-2, -3) and isparallel to the line 4x - y = 12

Answers

Answer: y = 4x + 5

Step-by-step explanation:

Find the slope of the second line.

4x - y = 12

-y = -4x + 12

y = 4x - 12

slope = 4

Therefore, the slope of the second line must also be 4.

Use point-slope form to write the equation.

y + 3 = 4(x + 2)

y = 4x + 5

the amount of a persons paycheck p varies directly with the numbers of hours worked t. for 16 hours of work, the paycheck is $124.00 write a equation for the relationship between hours of work and pay

Answers

Answer:

$p=7.75t$

Step-by-step explanation:

We have been given that the amount of a persons paycheck p varies directly with the numbers of hours worked t.

Since we know that the equation for direct variation is in form: $y=kx$ , where, k represents the constant of variation.

We are also told that for 16 hours of work, the paycheck is $124.00. We can represent our given information as:

$p=k*t$

Upon substituting p=124 and t=16 in directly proportional equation we will get,

$124=k*16$

Let us divide both sides of our equation by 16 to solve for k.

$(124)/(16)=(k*16)/(16)$

$7.75=k$

Upon substituting the value of constant of variation in our equation we will get,

$p=7.75t$

Therefore, the equation $p=7.75t$ represents the relationship between hours of work and pay.

Given:

Let t = number of hours worked
Let p = money in the paycheck

And the relationship between the two variables varies DIRECTLY, thus they are equated with one another.

Well anyway, you can write this simple equation for their relationship:

16t=124p

Then you derive if you want to get the number of hours or the amount paid:

1) 16t/16= 124p
t = 124p/16
t=7.75p

or

2) 124p=16t
124p/124= 16t/124
p = 0.129t

Round the decimal number to the nearest tenth: 285.429

Answers

the decimal rounded to the nearest tenth is 285.43.

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