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Work Shown:
p-q = -7
(p-q)^2 = (-7)^2
p^2-2pq+q^2 = 49
p^2-2(-10)+q^2 = 49
p^2+20+q^2 = 49
p^2+q^2 = 49-20
p^2+q^2 = 29
By the difference of cubes formula, we can say,
p^3 - q^3 = (p-q)*(p^2+pq+q^2)
p^3 - q^3 = (p-q)*(p^2+q^2+pq)
p^3 - q^3 = (-7)*(29-10)
p^3 - q^3 = -133
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Here's another way to solve:
p-q = -7
p = q-7
pq = -10
(q-7)*q = -10
q^2-7q = -10
q^2-7q+10 = 0
(q-5)(q-2) = 0
q-5 = 0 or q-2 = 0
q = 5 or q = 2
If q = 5, then p = q-7 = 5-7 = -2
If q = 2, then p = q-7 = 2-7 = -5
We can see that no matter what we pick for q, we'll get p*q = -10
Also, you should find that p^3-q^3 is equal to -133 for either case as well.
Which situation has a probability of 1/2?
A. picking the number “5” from the integers 1 to 10
B. rolling an odd number on a fair 6-sided number cube
C. randomly choosing the letter “s” from the word “Mississippi”
D. randomly choosing a boy out of a class containing 8 boys and 12 girls
Answer:
a
Step-by-step explanation:
1/2 of 10 is 5
Answer: b
Step-by-step explanation:
there are 6 numbers on a regular dice. 3 even, 3 odd
PLEASE HELP. !!!!!!!
in the diagram find angle mQR
Answer:
[tex]mSQR=1/2m~SR\\[/tex]
[tex]75=1/2m~SR[/tex]
[tex]mSR=150[/tex]
[tex]360=SR+QR+QS[/tex]
[tex]mQR=360-150-133[/tex]
[tex]mQR=77[/tex]
[tex]So, B ~ is ~ your~ answer[/tex]
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hope it helps...
have a nice day!
I need help Please and thank you
Answer:
Brett baseball went higher
Step-by-step explanation:
his maximum is a vertical that exceeds 80
The blueprint for the pelham's living room has a width of 12 inches using the scale of 2 inches = 7 feet.
The family wants to use a scale of 1 inch = 6 feet. What is the width of the living room on the new blueprint?
Answer:
The new blueprint's width will be 7 inches.
Explaination:
Find the width of the actual roomCreate a proportion: 2in:7ft
Divide 12 by 2 and multiply by 7 to find the real width: 6•7=42
Find new widthDivide actual width by 6 and multiply by 1 to find the new scale: (42/6) •1 = 7
Is this triangle similar? Why?
Answer:
IT'S NOT THE SAME BECAUSE THIS TWO TRIANGLE HAS DIFFERENT MEASUREMENT
Can someone solve this and show it step by step
−5x + 2[x − (4 + 2x)] ≥ 5 − 2(x − 1)
Step-by-step explanation:
-5x + 2(x -4 -2x) > 5 - 2x -2
-5x + 2x -8 -4x > 3 - 2x
-7x -8 > 3 - 2x
-5x > 11
x < 11:-5
x < -2.2
Answer:
x ≤ 3
Step-by-step explanation:
What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2
Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
PLz solve quick i need help asap. : )
Answer:
20 degrees
Step-by-step explanation:
the two angles must be congruent
4x - 23 = 2x + 17
2x = 40
x = 20
What are plane shapes
Answer:
A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a flat surface that extends into infinity in all directions. It has infinite width and length, zero thickness, and zero curvature.
Answer:
A closed two dimensional or flat shape figure is called plane shape.
Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
The equation of a line is expressed as y = mx + b
m is the slope of the lineb is the y-interceptFor the blue line;
m = 1
Since the line cuts the line at y = 1, hence the y-intercept is 1
The required equation of the red line will be y > x + 1
For the red line;
m = 1
Since the line cuts the line at y = -2, hence the y-intercept is -2
The required equation of the red line will be y < x - 2
Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
Learn more on inequality graph here: https://brainly.com/question/9774970
Answer:
B Or y < x – 2 and y > x + 1
Step-by-step explanation:
y < x – 2 and y > x + 1
A rhombus is not a A polygon B. Parallelogram C. Trapezoid
Answer:
Hi, there your answer is polygon
A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. A rhombus has 4 sides.
Hope this helps:) Have a great day!
Step-by-step explanation:
Which of the following is not a disadvantage to cash advances on a credit card?
a.
Cash advances are similar to loans in that they need to be paid back with interest.
b.
Cash advances require a lot of paperwork and are generally difficult to get.
c.
Cash advances are often the last thing to be paid when paying off your credit card.
d.
Cash advances often come with an interest rate much higher than your credit card.
(its not a)
Answer:
B
Step-by-step explanation:
it is b because I got it right on Edu and it was on quiz let
The width of a rectangle is represented by 2x and the length is represented by x2-x+ 3. Which expression represents the area of the rectangle?
Answer:
2x^3-2x^2+6x
Step-by-step explanation:
The area of a rectangle is
A = l*w
A = ( x^2 -x+3) * (2x)
Multiply
A = x^2 *2x -x*2x +3 *2x
A = 2x^3-2x^2+6x
The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed
function?
Answer:
B
Step-by-step explanation:
y=e^x+3
Solve the system of equations – 2x + y = –8 and 4x– 6y = –24 by combining
the equations.
Answer:
4
Step-by-step explanation:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
100 points my guys
what is the defenition ofmean , medium and mode
Please help fast!!
What is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14?
Answer:
y=-1/2x-4
Step-by-step explanation:
Hi there!
We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)
Parallel lines have the same slopes, but different y intercepts.
So let's find the slope of x+2y=14
we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides
2y=-x+14
divide both sides by 2
y=-1/2x+7
so the slope of x+2y=14 is -1/2
The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).
Here's the equation of that line so far:
y=-1/2x+b
we need to find b (y intercept)
as the equation will pass through (-8,0), we can use it to solve for b
substitute -8 as x and 0 as y
0=-1/2(-8)+b
multiply
0=4+b
subtract 4 from both sides
-4=b
substitute into the equation
y=-1/2x-4
Hope this helps! :)
Nancy made a scatter plot of how much money she had left at the end of each day her vacation which table represents the data in her scatter plot
Answer:
d
Step-by-step explanation:
Select all expressions that are
equivalent to 8x + 2 – (4x — 2)
(Select all that apply.)
8x + - 4x + 2 + 2
8x + 2 – 4x – 2
8x - 4x + 2 – 2
8x + 2 + - 4x - -2
8x + 4
Answer:
a) 8x + - 4x + 2 + 2
d) 8x + 2 + - 4x - -2
Step-by-step explanation:
Solving for the above expression
8x + 2 – (4x — 2)
Step 1
Expand the brackets
8x + 2 - 4x + 2
Step 2
Collect like terms
8x - 4x + 2 + 2
Step 3
4x + 4
Therefore, the expressions that are
equivalent to 8x + 2 – (4x — 2)
a) 8x + - 4x + 2 + 2
d) 8x + 2 + - 4x - -2
The perimeter of a rectangle is 10 feet, and the area is 6 square feet. What is the width of
the rectangle?
Hello,
Perimeter of a rectangle : 2 * (length + width)
Area of a rectangle : length * width
We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.
Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :
2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y
x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0
⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0
⇔ y = 2 ou y = 3
x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2
S = {(3 ; 2) ; (2 ; 3)}
The width of the rectangle is 2 or 3 feet.
:-)
Solve for y.
pls help
Answer:
y= -6
Step-by-step explanation:
Brainliest, 40 points
(4a³+6a²-10a-4)+(6a²+a²+a+7)
(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)
10a³+7a²-9a+3
OPTION D is the correct answer
Answer:
option d is the correct answer
I hope it helped U
stay safe stay happy
help hgfgghchjhgfuutfifiuiffiy
Answer:
105, n+5
Step-by-step explanation:
add five to each input
find the domain f(x)=√x-6
The domain of the square root function is:
x ≥6
How to find the domain of the square root function?Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.
Here we have the square root function:
f(x) = √(x - 6)
Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:
x - 6 = 0
x = 6
Then the domain is the set of all the values equal to or larger than 6.
The domain is: x ≥6
Learn more about domain at:
https://brainly.com/question/1770447
#SPJ1
Find the area of the figure. (Sides meet at right angles.)
Answer:
28 square feet
Step-by-step explanation:
the bottom rectangle has side lengths 10x2 and the top rectangle has side lengths 4x2.
10x2=20
4x2=8
20+8=28
NEED HELP! Will give brainiest!! And thanks if you even answer one of them
Answer:
In the questions you are asked to evaluate by substituting the variables to the given number.
PLZ EXCUSE MY HANDWRITING.
plz help me it worth 50% of my grade tell wethere it’s proportional of not
Answer:
2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.
Step-by-step explanation:
Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.
Number 3 does not go through the origin, so number 3 is also not proportional.
Number 5 is proportional since when you divide y by x, it is always 7.
Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.
I need help with this question. Whoever helps me I will mark branliest! <3
Answer: A, B, C
Step-by-step explanation:
AC is half of AB, so AB = 2AC
1/2 of AB will be AC, and AB
AC = CB
