1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novay_Z [31]
2 years ago
14

The product of (4z^2 + 7z - 8) and (-z + 3) is -4z^3 + xz^2 + yz - 24. What is the value of x? What is the value of y?

Mathematics
2 answers:
ycow [4]2 years ago
8 0

Answer:

x=5+\frac{29}{z}-\frac{y}{z}

y=5z+29-xz

Step-by-step explanation:

Given: (4z^2+7z-8)(-z+3)=-4z^3+xz^2+yz-24; find x and y.

Let's start with finding x first. Let's distribute the left side of the equation.

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

Let's move everything we can to the left side of the equation. Some things will cancel out.

5z^2+29z=xz^2+yz

Now, let's move the term that includes x to the left side of the equation. Everything else should be moved to the right.

-xz^2=-5z^2-29z+yz

Let's get rid of the negative sign in front of x by dividing both sides by -1.

xz^2=5z^2+29z-yz

To get x completely isolated, divide both sides by z^2.

\frac{xz^2}{z^2}=\frac{5z^2}{z^2}+\frac{29z}{z^2}-\frac{yz}{z^2}

Simplify.

x=5+\frac{29}{z}-\frac{y}{z}

Let's solve for y. We will start with the distributed and simplified equation to make it easier.

5z^2+29z=xz^2+yz

Now, let's move the term that includes y to the left side of the equation. Everything else should be moved to the right.

-yz=-5z^2-29z+xz^2

Again, let's get rid of the negative sign in front of the y by dividing both sides by -1.

yz=5z^2+29z-xz^2

To isolate y, divide both sides by z.

\frac{yz}{z}=\frac{5z^2}{z}+\frac{29z}{z}-\frac{xz^2}{z}

Simplify.

y=5z+29-xz

snow_tiger [21]2 years ago
6 0

Answer:

x = 5

y = 29

Step-by-step explanation:

Edge Answer

You might be interested in
The formula for the perimeter of a rectangle is P = 2L + 2W. The length of a rectangle is 3 times its width. Which expression re
omeli [17]

The perimeter of a rectangle is given by the following formula:     P = 2W + 2L

To solve this formula for W, the goal is to isolate this variable to one side of the equation such that the width of the rectangle (W) can be solved when given its perimeter (P) and length (L).

     P = 2W + 2L

          subtract 2L from both sides of the equation

     P - 2L = 2W + 2L - 2L

     P - 2L = 2W

           divide both sides of the equation by 2

     (P - 2L)/2 = (2W)/2

     (P - 2L)/2 = (2/2)W

     (P - 2L)/2 = (1)W

     (P - 2L)/2 = W

Thus, given that the perimeter (P) of a rectangle is defined by    P = 2W + 2L ,

   then its width (W) is given by    <span>W = (P - 2L)/2</span>

3 0
3 years ago
What is the sum of -6 4/5 and 6 4/5​
galben [10]

Answer:

0

Step-by-step explanation:

thanks for the points :)

4 0
2 years ago
According to a certain​ country's department of​ education, 39.9​% of​ 3-year-olds are enrolled in day care. what is the probabi
Yuliya22 [10]
The probability would be 39.9%

The given probability states that 39.9% of the 3 years olds are in daycare. Therefore, it would be obvious to assume that if you randomly selected a 3 year old, that would be the probability that he/she is in daycare.
8 0
3 years ago
If sales tax is 7.75%, what is the total cost of an 11$ purchase including tax?
Akimi4 [234]

Answer:

$11.8525

Step-by-step explanation:

To find the total price of purchase including sales tax, we need to add sales tax to our total. This can be done as follows: Purchase price + percentage of purchase price as according to sales tax. In the case of your problem, this takes the form of $11 + 0.0775(11). This expression is equivalent to 11.8525.

7 0
3 years ago
Read 2 more answers
Identify the slope and y-intercept of this equation and then show the steps to convert to standard form
kirill [66]

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7    (the implicit function form)

or

y-7 = 9*(x-0)  (the point-slope form)

Lmk if you have questions.

5 0
3 years ago
Other questions:
  • Which is greater 1 9/16 or 1 5/8
    13·1 answer
  • What is the scale factor of 5ft=15yd?
    9·1 answer
  • Standard form (1.5*10^-3) * (2*10^4)
    5·1 answer
  • Can someone help me please ❤️
    9·1 answer
  • Evaluate expression 15/x for x=3
    13·2 answers
  • Would like to know the answer
    15·1 answer
  • Please answer question on attachment. THANK YOU SO MUCH!!
    8·1 answer
  • There are 4 fruit trees in a yard and each tree produced 15 kilograms of fruit this year. If the fruit is evenly split between 6
    13·2 answers
  • WILL GIVE BRAINLIEST PLS HELP !!
    8·1 answer
  • 45% to a decimal ples help out
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!