Answer:C.
−y2−5xz+z2−x2
Step-by-step explanation:
Took the test got it right
The solution is Option C = ( -y² - 5xz + z² - x² )
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Expression 1 = y² - 4xz + z²
Expression 2 = x² + xz + 2y²
Let Expression 1 - Expression 2 = A
To find Expression 1 - Expression 2 = A
A = y² - 4xz + z² - ( x² + xz + 2y² )
By grouping the like terms , we get
A = ( y² - 2y² ) - ( 4xz + xz ) + z² - x²
Therefore,
A= - y² - 5xz + z² - x²
Hence , the solution is ( -y² - 5xz + z² - x² )
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In order to solve the inequality -1/4 x > 8, which of the following steps must be done?
A.divide by -4 and flip the inequality symbol
B.multiply by -4 and keep the inequality symbol
C.divide by -4 and keep the inequality symbol
D. multiply by -4 and flip the inequality symbol
Answer:
multiply by -4 and flip the inequality symbol
Step-by-step explanation:
I just did the lesson.
· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?
Answer:
$4,504.69
Step-by-step explanation:
An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?
Answer:
V = 19200 - 12m
Step-by-step explanation:
The pool contains 19200 gallons of water.
Now we are told that water drains from the pool at the rate of 12 gallons per minutes.
Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.
Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.
Thus, total volume V left after m minutes can be expressed as;
V = 19200 - 12m
Megan scored 80% on a test. She got 20 questions correct. How many questions were on the test?
Answer:
25
Step-by-step explanation:
I'm writing this to get to the 20 character minimum
Answer:
26 Questions
Step-by-step explanation:
Scott High School is holding a fundraiser and plans to use 1/2 of the money collected to build a new library. Of the money directed towards building the new library, 5/8 will go towards purchasing computers. What fraction of the money raised will go towards purchasing computers for the library?
Answer:
[tex]Computer = \frac{5}{16}[/tex]
Step-by-step explanation:
Given
[tex]Library = \frac{1}{2}[/tex]
[tex]Computers = \frac{5}{8}[/tex] of library.
Required
Determine the fraction going towards computer purchase.
We have:
[tex]Computers = \frac{5}{8}[/tex] of library.
This can be rewritten as:
[tex]Computers = \frac{5}{8}[/tex] * library.
Substitute [tex]Library = \frac{1}{2}[/tex]
So, we have:
[tex]Computer = \frac{5}{8} * \frac{1}{2}[/tex]
[tex]Computer = \frac{5}{16}[/tex]
Hence:
The fraction is [tex]\frac{5}{16}[/tex]
Write 9.84 as a mixed number in simplest form
Answer:
[tex]9\frac{21}{25}[/tex]
Step-by-step explanation:
Simplify the 0.84. It is 84/100, or divided by 4, it is 21/25.
Hope this helped! :))
Answer:
Step-by-step explanation:
Mixed numbers are a whole number and a fraction together
sooo 9.84= 9 84/100 but we can reduce 84 /100 to 42/50 and that can be reduced to 21/25
so write 9 21/25
12=6x+3y solve for y
Answer:
1 1/3 = y
Step-by-step explanation:
12 = 6x + 3y
12 = 9y
12/9 = y
1 1/3 = y
Hope this helped!
what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?
The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
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The number 4 and the number 4/1 are
exactly the same. Explain why.
Step-by-step explanation:
Hey there!
It's obvious that 4 and 4/1 are exactly same.
Reason: something divided by 1 is always a a number same in a numerator.
Example;
1. 7/1 = 7
2. 5/1 = 5
Hope it helps..
Help me please now...
Answer:
see below
Step-by-step explanation:
sqrt(24) = sqrt( 4*6)
sqrt( 4) sqrt(6)
2 sqrt(6)
Ella played a math game and had the five cards shown.
-5, -7, 4, -4, 10
Her score was the sum of the numbers on these five cards. What was Ella's score?
Answer:
-2
Step-by-step explanation:
-5 + -7 = -12
-12 + 4 = -8
-8 + -4 = -12
-12 + 10 = -2
Answer:
Answer:
-5
Step-by-step explanation:
7-4+2-10= -5
Step-by-step explanation:
The points in the table lie on a line. Find the slope of the line.
The slope of the line is [tex]-\frac{3}{4}[/tex]
First, you must find 2 points.
(-6,8) (-2,5)
Then, you must substitute the value of the points in.
[tex]\frac{5-8 }{-2+6}[/tex]
Finally, simplify the fraction.
[tex]-\frac{3}{4}[/tex]
Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?
Answer:
if you round, its 99. if you ignore the decimal, its 98
Step-by-step explanation:
2/3 of 148 is 98.66
A diver started at 4 feet above ground. After diving he ended at 58 feet below the surface
of the water. What was the change in elevation of the diver? Solve and write an equation,
then model with a number line.
Answer:
62
Step-by-step explanation:
If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:
[tex]|4+58|[/tex] = 62
14+14 plaxdivu nfnvhwijqco n uhfen uew9 nfh nf hfn feuh
Answer:
28?
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
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!!! 3ill MoB !!!
The lines represented by the equations y = -X – 3 and
5y + 5x = -15
Answer:
your y= is
y−intercept=− 1 /3 =−3.00000
Step-by-step explanation:
A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.
What is the approximate sales tax rate?
Answer:
the approximately sales tax rate is 7%
Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5
Answer:
[tex]\fbox{y = -3x + 5}[/tex]
Step-by-step explanation:
You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];
where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]Plugging these values into slope-intercept form gives:
[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.
The point that the line passes through is the y-intercept: [tex](0,5)[/tex].
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]
Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.
[tex]y-(5)=-3(x-(0))[/tex]Simplify the equation on both sides.
[tex]y-5=-3(x)[/tex]Add 5 to both sides of the equation.
[tex]y=-3x+5[/tex]This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.
The answer is [tex]D) \ $y = -3x+5[/tex].
Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
Circumference of the circle = 17.8 units
Area of the circle = 25.1 square unit
Step-by-step explanation:
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)
r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]
r = [tex]2\sqrt{2}[/tex] units
Therefore, circumference = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
Drag numbers to complete the table for missing values of x, x2, and x3.
Answer:
Values are:
x x²
10 100
5
Helps me solve this problem please
Answer:
I Think D.
Step-by-step explanation:
the question is in the photo
Answer:
yes
Step-by-step explanation:
half of x which is 4 = y which is 2
you keep doing that with the rest of the xs and ys
can ya'll do my math homework too pleaseee? again I'll give brainliest and be rlly happy.
also you gotta write show all the work you did to get the answer cuz my math teacher keeps yelling at me to do that.
f + 6 = -3
-3x = 21
2x + 6 = -12
15 - 3r = -45
21 + 3y = 5y + 8 - 2
3(2x - 1) = 4
-5(f - 3) = 2 - 3(2f - 2)
x + 1/2 = x - 3/7
7x + y + 8 = 0
2x + 2y + 6 = 0
6x - 4y + 8 = 0
Danny parks his car at a parking lot for a flat fee of $2.00 plus $0.25 per hour that his car is parked.
a) Write an equation to represent Danny's total parking cost, C, in dollars, for t hours.
b) How much will it cost Danny to park his car for a full 24 hours?
c) If Danny has $6, for how many hours can he park his car in the parking lot?
Jodi wants to buy a book that costs $18 before taxes. The taxes are 13% HST.
a) Write an equation for the total cost, C, after taxes for a book that costs r dollars.
b) Find the total cost of the book after taxes.
c) Suppose the cost of another book after taxes is $36.80. What was the total cost of the book before taxes?
ya I know it's a lot but I'd rlly appreciate it if ya'll could do at least some of it. I'm like drowning in over due assignments and it's not cute.
thank youuuu
Answer:
1. f = -9
2. x = -7
3. x = -9
4. x = -20
5. y = 7.5
Step-by-step explanation:
Hope this helps
20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8
Answer:
-2.5
Step-by-step explanation:
-4 5/8 = -4.625
2 1/8 = 2.125
-4.625 + 2.125 = -2.5
Answer:
-20/8 or -2 1/2
Step-by-step explanation:
-4 5/8 + 2 1/8
Convert mixed numbers into improper fractions
-37/8 + 17/8
Add the numerators but NOT the denominators
Final Answer: -20/8 or -2 1/2
can i get brainiest
Does the equation y=-2x-3 represent a linear function
Answer:
For example, the linear equation 3y + 2x = 6 has an x intercept when y = 0, so 3(0) + 2x = 6. The x-intercept is (3, 0). Likewise the y-intercept occurs when x = 0. The y-intercept is (0, 2).
...
Graph the linear equation y + 3x = 5.
x values 5 – 3x
Step-by-step explanation:
hope this helps
alr please help add: 21 / 100 + 6/10 =
Answer:
The answer is 81/100.
Step-by-step explanation:
Multiply the denominator of the second fraction by 10 to get 100, then the numerator as well to get 60. Now that you have 21/100+60/100, all you have to do is add.
One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.
Answer:
The numbers are 410 , 82
Step-by-step explanation:
Let the another number be x
Positive number = [tex]\frac{1}{5}x[/tex]
Their difference = 328
[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]
x = 410
Positive number = [tex]\frac{1}{5}*410=82[/tex]
The numbers are 410 , 82
solve the inequality 809>-11+5/8n write the solution in set notation
Answer:
-798>n
Step-by-step explanation:
emilythompson35464
hope this helps srry if it doesn't tho
Answer:
1312
Step-by-step explanation:
i just did it and got it right
Find the LCM (least common multiple) of 25 and 35.
LCM =
175
Step-by-step explanation:Hi there !
25 = 5²
35 = 5×7
Lcm = multiply together each of the prime numbers with the highest power
Lcm(25 ; 35) = 5²×7 = 25×7 = 175
Good luck !
[-4.5 + 12] = what is the anserw
Answer:7.5
Step-by-step explanation:
Answer:
The answer will be 8.5