Answer:
2a^3 -3a^2 -45a +50
Step-by-step explanation:
The expansion of the product of polynomials is an application of the distributive property. Usually, it needs to be applied several times.
(2a^2+7a-10)(a-5)
= 2a^2(a -5) +7a(a -5) -10(a -5)
= 2a^3 -10a^2 +7a^2 -35a -10a +50
= 2a^3 -3a^2 -45a +50
A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
Answer:
248.91500
Step-by-step explanation:
Answer: $1493.49
Step-by-step explanation:
Mark-up formulas:
price=cost+mark-up
mark-up=mark-up percentage×cost
Discount formulas:
discount price=original price–discount
discount=discount percentage×original price
solve
First find the original price. Write 100% as the decimal 1.00 before using it in the equation.
price
= cost+mark-up
= 995.66+1.00×995.66
= 995.66+995.66
= 1,991.32
The original price was $1,991.32.
Now find the discount price. Write 25% as the decimal 0.25 before using it in the equation.
discount price
= original price–discount
= 1,991.32–0.25×1,991.32
= 1,991.32–497.83
= 1,493.49
The discount price was $1,493.49.
express the ratio below in its simplest form.3:12:9
Answer:
Step-by-step explanation:
Divide by 3
1 : 4 : 3
What is the area of this trapezoid
16.
.
What is the sum of the geometric series Σ2
Σ(3)
rounded to the nearest whole number?
(1 point)
χ 0
O4
Ο0
O2
O3
What is the sum of the geometric series Σ2
Σ(3)
rounded to the nearest whole number?
Answer: O2
What is 43 percent as a decimal and a fraction?
43
%
is
43
100
, so move the decimal
2
places.
43
becomes
.43
.
Answer:
decimal: 0.44, Fraction: 43/100
Step-by-step explanation:
Simplify.
(x2+4x)−(x2+6x−3)
10x−3
2x2+10x−3
−2x+3
−2x
Solution:
Note that:
Given expression: (x² + 4x) − (x² + 6x − 3)Remove the brackets
(x² + 4x) − (x² + 6x − 3)=> x² + 4x - x² - 6x + 3Combine like terms
x²(1 - 1) + x(4 - 6) + 3=> x²(0) + x(-2) + 3=> -2x + 3Write an equation that states (x, y) is the same distance from (4, 1) as it is from the x-axis.
The equation that gives all the points (x, y) that are at the same distance from (4, 1) as from the x-axis is:
y = (1/2)*(x - 4)^2 + 1/2.
How we can find the point (x, y)?
First, remember that for a point (x, y), the distance to the x-axis is equal to y.
And we also know that the distance between two points (x₁, y₁) and (x₂, y₂) is:
[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]
The distance between (x, y) and (4, 1) is:
[tex]d = \sqrt{(x - 4)^2 + (y - 1)^2}[/tex]
And this must be equal to y, so we can write:
[tex]y = \sqrt{(x - 4)^2 + (y - 1)^2}[/tex]
This is the equation we need to solve.
We will get:
[tex]y^2 = (x - 4)^2 + (y - 1)^2\\\\y^2 = (x - 4)^2 + y^2 - 2y + 1\\\\0 = (x - 4)^2 - 2y + 1\\\\2y = (x - 4)^2 + 1\\\\y = (1/2)*(x - 4)^2 + 1/2[/tex]
This equation gives all the points (x, y) that are at the same distance of (4, 1) as from the x-axis.
If you want to learn more about distances between points, you can read:
https://brainly.com/question/7243416
16. Read the bar graph and answer the following questions
(1) What is the information given by the bar graph?
(ii) How many tickets of Assam State Lottery were sold by the agent?
(ii) of which state, were the maximum number of tickets sold?
Answer:
Hope it helps!!!!!!Brainliest pls!!!!!!!Candy is paving a narrow pathway with pebbles. She needs 100 pebbles for each four feet of path. How many feet can she pave if she has 525 pebbles?
Please Help!
The graph shows the vertical displacement y, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds, x.
From its resting position, how long does it take the weight to bounce one direction, then the other, and then return to its resting position?
-3s
-6s
-16s or
-32s
It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position
What is a periodic function?
A periodic function is a function that repeats itself at regular intervals. The period of this function is the time taken to complete one oscillation while the amplitude is the distance from the origin to peak.
From the diagram:
Time taken for the weight to bounce one direction, then the other, and then return to its resting position = 7.5s - 1.5 s = 6 s
It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position
Find out more on periodic function at: https://brainly.com/question/8636691
a closed rectangular tank measures 12 meters by 6 meters by 10 metersfind the surface area of the shape
Answer:
Just Took The Test
C!!
Step-by-step explanation:
Trust
Identify the congruent corresponding parts.
Answer:
5 angles and 5 sides
Step-by-step explanation:
Hope this is the answer you are looking for.
Answer:
ABCDE is congruent to SRQPT(you can work out the sides from here)
ABC = SRQ
Find the range of the function in the image.
solve it asap please
no irrelevant answers.
(question in the image)
Answer:
0 < f(x) ≤ 3/4, or (0, 3/4]
Step-by-step explanation:
x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4
It is always positive and has a minimum value of 3/4 at x = 1/2
So f(x) is always positive (not equal zero) and has a maximum value of 3/4
Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]
* C is twice as close to A as it is to B (there is more than one
answer)
Answer:
Angle at the center is two times the angle at circumferance
Help help math math math
Answer:
-2x+y=6
Step-by-step explanation:
You subtract 2x from both sides to get -2x+y=6
:)
Answer:
-2x+y = 6
Step-by-step explanation:
Standard form is ax + by = c.
So we need to move the x term to the left side.
y = 2x + 6
Subtract 2x from each side
-2x + y = 6
Rachel had 7/8 of a spool of yarn. She used 3/4 of her yarn for a project. What fraction of the spool was used for the project?
if I did the math correctly the answer should be 6/8
what is 12 x q greater than 12 but less than 24 Enter a positive value for q that makes this statement true.
12 x q is greater than 12 but less than 24.Immersive Reader
(3 Points)
2 3/4
2 1/2
1 6/8
1 3/4
1 1/2
5/6
5Question
(1 Point) wich one is it and i need 2 answer's
Answer:
2 1/2 and 1 1/2
Step-by-step explanation:
help pls ill mark brainliest
Answer:
A. 2,310 sq ft
Step-by-step explanation:
Rectengle below:
A = l × bA = 74 × 15A = 1,110ftRectangle Above:
A = l × bA = 50 × 24A = 1,200ftArea of the Playground:
1,110ft + 1,200ft1,310 sq ft (A)What is 77+33
w e e e e e e e e e e e e e e e e e e e e e e e e e e e e e e
Answer:
110
Step-by-step explanation:
Answer:
77+33=110
Step-by-step explanation:
just add em duh
pls helpp !
During a sale, a store offered a 15% discount on a bed that originally sold for
$350. After the sale, the discounted price of the bed was marked up by 15%.
To the nearest whole number, what percent of the original price was the price
after markup?
Answer:
342
Step-by-step explanation:
85% of 350 is 297.5, 115% of 297.5 is 342.125
Open the graphing tool to see the data on a scatter plot, where the month is the independent variable and the principal balance is the dependent variable.
1. Select Relationship.
2. Select Linear.
3. Check the Best fit box.
4. Observe the best fit function calculated and provided underneath the graph.
What is the best fit function for the data?
Answer:
y = -465.4569x + 17,267.6
Step-by-step explanation:
edmentum
There are t boys in class. There are 7 fewer girls in class. How many students are in class in terms of t?
Answer:
[tex]2t-7[/tex]
Step-by-step explanation:
Let "t" represent the boys in the class then the amount of girls will be:
[tex]t-7[/tex]
Total Students = Number of Boys + Number of Girls
Total Students = [tex]t+t-7[/tex]
Total Students = [tex]2t-7[/tex]
Let's use a few example numbers to see if this equation is true...
[tex]t=10[/tex]
[tex]t-7=10-7=3[/tex]
[tex]10+3=13[/tex]
This means that [tex]2t-7[/tex] must also be equivalent to 13...
[tex]2(10)-7=20-7=13\rightarrow $ Correct![/tex]
Another example...
[tex]t=15[/tex]
[tex]t-7=15-7=8[/tex]
[tex]15+8=23[/tex]
This means that [tex]2t-7[/tex] must also be equivalent to 23...
[tex]2(15)-7=30-7=23\rightarrow$ Correct![/tex]
Both examples have been proven to be true therefore there are...
[tex]2t-7[/tex] students in the class
Wrote a cpital letter the appears to have perpendicular line segments
A prism is completely filled with 72 cubes that have edge lengths of 1/2 in.
What is the volume of the prism?
Enter your answer in the box.
in
The volume of the prism that is completely filled with 72 cubes that have edge lengths of 1/2 in. is 9 in³.
What is a prism?A prism is a 3-dimensional shape, with two identical shapes facing each other.
To calculate the volume of the prism, we use the formula below.
Formula:
The volume of the prism (V) = 72×volume of one cubeV = 72L³............. Equation 1Where:
V = Volume of the prismL = Length of the cubeFrom the question,
Given:
L = 1/2 inSubstitute these values into equation 1
V = 72(1/2)³V = 72(1/8)V = 9 in³Hence, the volume of the prism is 9 in³.
Learn more about prisms here: https://brainly.com/question/23741714
when julia goes from home to school she can walk half-way and half-way she can go by bus. if she only walks, she will spend 45 minutes more. how much less time does it take her to go to school if she uses only the bus?
Answer:
15 minutes
Step-by-step explanation:
1 hour is =to 60 minutes
60minutes minus 45 minutes is equals to 15 minutes
45+15=60minutes which is 1hr
so my answer is 15 minutes. ..
thank you
pliz follow. .
Find the surface area of the square pyramid shown below.
17 in
-15 in
16 in
What is the surface area of the pyramid in square inches?
0 736 square inches
o 800 square inches
0 1280 square inches
O 1451 square inches
Answer:
800
The surface area of the square pyramid is 800.
S.A.= area of base+area of four triangles.
Therefore the answer is 800.
Claire is a salesperson who sells computers at an electronics store. She makes a base pay of $80 each day and then is paid a $20 commission for every computer sale she makes. Write an equation for P,P, in terms of x,x, representing Claire's total pay on a day on which she sells xx computers.
WHAT TIME IS TWENTY FIVE TO EIGHTT???
Answer:
7:35
Step-by-step explanation:
60 minutes in an hour, 25 minutes back from 8:00 is 7:35, 35+25=60
Can someone please explain how to do this
Answer:
A.
Step-by-step explanation:
the ratio of shaded is 8:12 simplified to 3:4
the ration of shaded but with a cross is 7: 12. simplified it least value.
the ration of shaded with a cross and just shaded is 8:12 to 7:12, subtract those and you get 1:12
sooo you're answer is 8:12 - 1:12 to see the shaded with cross
hope this helped </3
help me with his please :(