Answer:
8(2x² - y)(2x² + y)
Step-by-step explanation:
32[tex]x^{4}[/tex] - 8y² ← factor out 8 from each term
= 8(4[tex]x^{4}[/tex] - y²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
4[tex]x^{4}[/tex] - y²
= [tex](2x^2)^{2}[/tex] - y²
= (2x² - y)(2x² + y)
Thus
32[tex]x^{4}[/tex] - 8y² = 8(2x² - y)(2x² + y)
THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.
Answer:D
total 450 marks 90 of which are maths
90/450= 0.2
0.2=20%
20% is D
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
90/450=2/10
Herman and his dad are leaving early in the morning for his lacrosse tournament. Their house is 210 miles from the tournament. They plan to stop and eat after 2 hours of driving, then compete the rest of the trip. Herman's dad plans to drive at an average speed of 60 miles per hour. How long will the second part of the trip take
The second part of the trip took 1.5 hours.
Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:
Average Speed = total distance ÷ total time
Given that the distance from the house to the tournament is 210 miles, hence:
Total distance = 210 miles
Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:
Total time = t + 2
The average speed of 60 miles per hour, hence:
60 = 210 ÷ (t + 2)
60(t + 2) = 210
60t + 120 = 210
60t = 90
t = 1.5 hours
Therefore the second part of the trip took 1.5 hours.
Find out more at: https://brainly.com/question/9834403
Chanyeol makes a rectangle whose area is x^2 - 24x - 52. Find the possible dimension of the rectangle.
A. (x - 2) (2x - 1)
B. (x + 3) (x)
C. (x + 2)(x + 4)
D. (x + 2) (x - 26)
Answer:
D
Step-by-step explanation:
Factor the equation.
x² - 24x - 52
Two numbers when multiplied equals to -52 and added equals to -24 are -26 and +2.
Therefore,
(x+2)(x-26) is the right answer.
solve the equation and show work
2 (f - 2) = 3 (2f + 5) -8
Answer:
f=-2.75
Step-by-step explanation:
2(f-2)=3(2f+5)-8
2f-4=6f+15-8
2f-6f=7+4
-4f=11
f=-11÷4
=-11/4=-2/3/4=-2.75
What should I write ?
Answer:
It is true because 3/6 is that smallest fraction or "simplest form" of 6/12
Step-by-step explanation:
Find the linear correlation coefficient for the table below. Keep 4 numbers AFTER the decimal
х
у
1
5
3
7
1.5 6
0
1
5
9
10 10
5
8
11
12
15 20
Answer:
no answer sorry I only study in class 7
Write this ratio as a fraction in the simplest form without any units. 8 yards to 15 feet. full anwser.
Answer:
8/3
Step-by-step explanation:
15 feet = 3 yards
8 yards to 3 yards
Your welcome!
Kayden Kohl
8th Grade Student
An airplane on autopilot took 5 hours to travel 3,475 kilometers. What is the unit rate for kilometers per hour?
Answer:
695/kph
Step-by-step explanation:
Divide the kilometers (3475) by the number of hours (5)
to get 695
how to find the mean for negative numbers
You can find the mean of negative numbers just the same as for positive numbers. It doesn't hurt for the mean to be negative.
For example, with the number -9, -5, -4, -3, -1 you can find the mean jsut as any other numbers
-9+-5+-4+-3+-1=-22
-22/5=-4.4
the mean for those set of numbers is -4.4
Help please i need the answer by tonight for my grades
Answer:
X equals negative 11
Step-by-step explanation:
The angles in a triangle add up to be 180 degrees, and we already have 80 as one angle and 60 as the other. That equals 140 degrees. But now we have x+51. That would equal 191 degrees, so 191-180=11, so x= -11
Answer:
x=-11
What we know=
Angles A'=x+51
Angle B=60
Angle C=80
Angle B' and C'=?
Due to the vertically opposite angle rule, we know angle B' and C' are the same as angle B and C.
So, angle B' is 60 degrees. Angle C' is 80 degrees.
We can add them together to get 140 degrees.
So we have 140, x+51. We can make an equation.
[tex]180=140+51+x[/tex] We can combine like terms (140 and 51) to get 191
A triangle only adds up to 180 degrees. So now you can subtract 180-191=to get x.
Some friends played a board game. During the game, one unlucky player had to move back 4 spaces 5 turns in a row.
Find a number to represent that player's movements for those 5 turns
Answer:
-9 * 7 = -63
Step-by-step explanation:
Four less than the product of three and n
Answer:
Statement should be : "4 less than the product of 3 and some number x is y" => 3x-4 = y
Step-by-step explanation:
Let "Four less than the product of three and n"
From the given statement we get an algebraic expression 3x - 4 = y.
What is an algebraic expression?An algebraic expression in mathematics exists as an expression that stands created up of variables and constants, along with algebraic operations like addition, subtraction, etc. x exists a variable, whose value exists unspecified to us and can take any value.
An algebraic expression exists as an indication acquired by a finite number of the fundamental operations of algebra upon characters symbolizing numbers.
Let "Four less than the product of three and n". From the given statement we get an algebraic expression 3x - 4 = y.
To learn more about algebraic expression
https://brainly.com/question/19864285
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what are the rules for adding and subtracting negatives and positives?
Answer:
Adding positive numbers results in a higher number
Add negative numbers result in a low number
Adding them together just brings the integer closer to 0
Answer:
When adding positive numbers, count to the right. ------>
When adding negative numbers, count to the left. <-------
When subtracting positive numbers, count to the left. <-------
When subtracting negative numbers, count to the right. ------->
Link to Khan Academy to help you better understand: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/v/adding-and-subtracting-negative-number-examples
Khan Academy is a great place to get helpful videos for math homework. Hope this helps (:
1/4 to the power of 7 times 1/4 to the power of -4
Answer:
0.015625
Step-by-step explanation:
the answer is 0.015625
Answer:
1/4^3
Step-by-step explanation:
1/4^7 x 1/4^-4 = 1/4^ 7+-4
=1/4^3
Which value in scientific notation is the best estimate for 0.0000058102?
A.
5 × 10-5
B.
6 × 10-5
C.
5 × 10-6
D.
6 × 10-6
Answer:
option C 5×10-6 is right answer
Answer:
[tex]c \: ) \: 5 \times 10 - 6[/tex]
c is the answer
if x:y = 2:5, find the value of (x + y) : (2x-3y)
Answer:
(x + y) : (2x-3y) = - 7/11
Step-by-step explanation:
The ratio is denoting:
x = 2
y = 5
Substitute your values into the equation's variables (x and y). Then solve.
(x + y) : (2x-3y)
(2 + 5 ) : [2(2) - 3(5) }
7 : [4-15]
7: -11
ratios can be turned into fractions.
7: -11 is the same thing as - 7/11
4/5 of the money collected from a fundraiser was divided equally among 8 grades
What fraction did each grade receive?
Answer:
1/10
Step-by-step explanation:
your equation is 4/5 divided by 8/1.
Lets solve that problem with the acronym KCF, or
Keep
Change
Flip.
K: "keep" the first fraction, or the one you are multiplying with, so 4/5 stays the same.
C: "change" the division sign to a multiplication sign, so 4/5x8/1
F: "flip" the second fraction, so 8/1 becomes 1/8.
now our equation is 4/5x1/8. If we solve that, we get 4/40, which reduced is 1/10.
find the slope of the line
Each scatter plot below shows the same data.
Which scatter plot has the most reasonable line of best fit?
Answer:
bottom right corner
Step-by-step explanation:
Answer:
Step-by-step explanation:
Scatter plots' primary uses are to observe and show relationships between two numeric variables. ... Relationships between variables can be described in many ways: positive or negative, strong or weak, linear or nonlinear. A scatter plot can also be useful for identifying other patterns in data.
Quadrilateral MARK will be reflected across the z-axis and then rotated 90° clockwise about the origin to create quadrilateral M"A"R"K". If M is located at - (-3,7)
What will be the y-coordinate of M”?
The answer is 3
Step-by-step explanation:
I have the answer key pdf and, that is what the answer said, so I am pretty sure this is right.
Evaluate the expression
-2(12 – 2(-4))?
John wants to make cupcakes. To make cupcakes, he needs 5/7 of a cup of flour per
batch of cupcakes. If John has 10 cups of flour, then how many batches of cupcakes can
John make?
f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0
The functions f(x) and g(x) combine to form a composite functions
The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
How to determine the function (fg)(x)The functions are given as:
[tex]f(x) = \sqrt{2x[/tex]
[tex]g(x) = \sqrt{8x[/tex]
To calculate (fg)(x), we have:
[tex]f(x) = \sqrt{2x[/tex]
This gives
[tex]f(g(x)) = \sqrt{2g(x))[/tex]
Substitute [tex]g(x) = \sqrt{8x[/tex]
[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]
Simplify
[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]
Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
Read more about composite functions at:
https://brainly.com/question/10687170
Answer:
f.g x = 4x
Step-by-step explanation:
5 divided by 29.95 show work please
0.167
Step-by-step explanation:
5 ÷ 29.95
= 5 ÷ 2995/100
= 5 × 100/2995
= 500/2995
≈ 0.167
Rewrite without parentheses and simplify.
(x-6)?
Answer:
x-6
Step by step explanation:
1. If x equaled 3 then we would replace x with three.
2. We would then take the simplified equation and subtract.
3. 3-6 = 3
If this helped please consider marking this answer brainliest!!
A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatterplot. One school in the report, Springside Elementary, is labeled in the graph.
Which is a true statement regarding Springside?
Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.
Interpreting the scatterplot, it is found that the correct option is:
Springside weakens the correlation shown in the scatterplot.
In the scatterplot, the mean test score is plotted as function of the mean class-size.From this, we can verify that as the mean class size increases, the mean score decreases, that is, there is a negative correlation between the mean class size and the mean test score.However, for Springside, the mean test score is greater than most other schools with smaller class sizes, which is a different result than expected, thus, it weakens the correlation, and the correct option is:Springside weakens the correlation shown in the scatterplot.
A similar problem is given at https://brainly.com/question/13961820
Cameron had a balance of $450.00 in his account, and then he made a purchase for $517.50. What is the
new balance in his account?
Answer:
-$67.50
450 - 517.5 = -67.5
A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the model? Round to the nearest tenth if needed.
Answer:
50.2in or 4.2ft
Step-by-step explanation:
This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.
Mb = model building = 18in
Mw= model window = [tex]\frac{1}{9}[/tex]in
Rb = real building = 678ft = 8136in
Rw = real window = ?
[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]
[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]
[tex]\frac{8136}{162}[/tex] = Rw
[tex]\frac{452}{9}[/tex] = Rw
Rw ≈ 50.2in ≈ 4.2ft
Pleaseee Help me plzz
Answer:
70
Step-by-step explanation:
Help me please
x/3+12=2
Answer:
x = -30Step-by-step explanation:
minus 12 on both sides
updated equation: x/3=-10
multiply 3 on both sides
updated equation
x = -30