We have to factorise?
Let's see
#1
-10a²c+20ac-5ac³-5ac³-10a²c+20acTake -5ac common
-5ac(c²+2a-4)#2
10c³d-8cd²+2cd2cd(5c²-4d+1)Done!
Answer:
Question d
[tex]\sf -10a^2c+20ac-5ac^3[/tex]
Factor out common term -5:
[tex]\sf \implies -5(2a^2c-4ac+ac^3)[/tex]
Factor our common term a:
[tex]\sf \implies -5a(2ac-4c+c^3)[/tex]
Factor out common term c:
[tex]\sf \implies -5ac(2a-4+c^2)[/tex]
Question f
[tex]\sf 10c^3d-8cd^2+2cd[/tex]
Factor out common term 2:
[tex]\sf \implies 2(5c^3d-4cd^2+cd)[/tex]
Factor out common term c:
[tex]\sf \implies 2c(5c^2d-4d^2+d)[/tex]
Factor out common term d:
[tex]\sf \implies 2cd(5c^2-4d+1)[/tex]
Find the interest on a loan with Principal =
$1000, Rate = 6%, Time = 2 years
Answer:
changing the currency $ to #
$1000 = #415,640.00
i=prt (formular)
given:
I =?
p = $1000 or #415,640.00
r = 6%
t = 2 years
i= 415,640.00×6×2÷100
i= #49876.8
without changing currency
i= 1000×6×2÷100
i=120
pa help guys,
probability distribution
Answer:
14
Step-by-step explanation:
Hope it helps
Can someone help me do these i don't understand them?
Answer:
they are extension in computer
Find the area of this triangle
Answer:
22
Step-by-step explanation:
22 is the area of the given traingle
The diagram represents the factorization of a2+8a+12.
A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12.
What is the missing number that will complete the factorization?
6
8
12
24
Answer:
The answer is 6
Step-by-step explanation:
Answer: 6
Step-by-step explanation: took the quiz
Solve the following equations
|3x-4(x+1)|=2
Answer:
x = -6 or x = -2
Step-by-step explanation:
|3x-4(x+1)|=2
Simplify inside the absolute value by distributing
|3x-4x-4|=2
Combine like terms
|-x-4|=2
Now separate into two equations, one positive and one negative
-x-4 = 2 or -x-4 = -2
Add 4 to each side
-x-4+4 = 2+4 or -x-4 = -2+4
-x = 6 or -x =2
Multiply by -1
x = -6 or x = -2
match the function equations to their graphs. please help!
Answer:
y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.
Step-by-step explanation:
Brainliest! :)
The length of a rectangle is 1 ft more than twice the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.
Answer:
[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]
Step by step explanation:
[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]
Answer:
Length 10 ft.
Width 4.5 ft.
Step-by-step explanation:
If the width is x ft then the length is 2x + 1 ft.
Area = width * length, so:
45 = x(2x + 1)
45 = 2x^2 + x
2x^2 + x - 45 = 0
2x^2 + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9)(x + 5) = 0
x = 4.5, -5.
So x = 4.5 ( as the width cannot be negative).
Therefore the dimenions of the rectangle are
width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.
At a local grocery store, each apple cost $1.89 and each orange cost $2.59. A total of 35 apples and oranges were purchased for a total of $79.95. Let x= number of apples and y=number of oranges. Write a system of linear equations that model the given information. Solve the system to determine the number of apples and oranges that were purchased.
x+y=35
1.89x+2.59y=79.95
y=35-x (and now we put this instead of 'y' in the second equation)
1.89x+2.59(35-x)=79.95 (now we solve this equation)
1.89x+90.65-2.59x=79.95
0.7x=10.7
x=15
y=35-15=20
ANSWER:
15 apples
20 oranges
Fit two 1/8 pieces together.What larger fraction pieces do they match?
Answer: 1/4
Step-by-step explanation: 1/8 plus 1/8 is 2/8. it can be simplified to 1/4
Spencer divided his baseball cards equally among 4 friends. Each friend received 16 cards. To find the number of cards c that Spencer had originally, he solved the equation Ask Your Teacher. How many baseball cards did Spencer originally have?
Answer:
64 cards
Step-by-step explanation:
16*4 = 64
Answer:
64!!
Step-by-step explanation:
Reason? If spencer devided amongst all of his friends of 4, and they all recieved a total of 16, then you work backwards! 16*4=64! Or, just do the amount they got, 16, and multiply by the number of friends, 4, and you should get the answer!!
Hope this helps! (brainliest please)
A perimeter of a square field is 160, what is the area of that field?
Answer: 1,600 sq units.
Step-by-step explanation: The perimeter of a square field is 160. When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160. You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40. To find the area of a square, you need to multiply one side by the other. All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units. Therefore, 1,600 sq units is your answer.
Have a great day! :)
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In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?
Using the box plot, it is found that 200 is the median, that is 50% of the books had 200 or fewer pages.
What is a box plot?It is a plot that focuses the interquartile range of the population, that is, it gives:
The first quartile.The median.The third quartile.In this problem, they are given as follows:
The first quartile is of 175.The median is of 200.The third quartile is of 250.Hence, 50% of the books had 200 or fewer pages.
More can be learned about box plots at https://brainly.com/question/14277132
ANSWER THE FOLLOWING:
Step-by-step explanation:
2. since there are 15 shirt
the probability of her wearing a blue shirt is 5/15
the probability of her wearing a blue shirt is 4/15
Will give brainliest for right answer! :)
Answer:
155.52mm
Step-by-step explanation:
the area of the rectangle. 16×16=256. the area of the semicircle. 3.14×8×8=100.48. subtract the semicircle from the rectangle 256_100.48= 155.52mm
Answer:
27.47 square mm
Step-by-step explanation:
Area square = 16x16= 256
Half square= 255/2=128
Area circle pi x 64 = 201.06...
semicircle 201.06.../2 = 100.53
128-100.53 =27.47
Find the maturity value of a loan of $800 after three years. The loan carries a simple interest rate of 9 1/4% per year.
1.) The maturity of the loan is $___
Answer: $9
Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.
If x - m is a factor of 2x^2 - x - 3, what is the value of m?
Answer:
The given quadratic expression can be factored as (2x - 3)(x + 1).
So x + 1 = x - m ⇒ m = -1.
Step-by-step explanation:
Answer:
I hope this helps, you can ask any questions for clarification
Company A has three times as many customers as company B. Company C has 10 customers more than company B. Let x represent the number of customers held by company B. What is the expression that represents the total number of customers held by all three companies?
The expression that represents the total number of customers held by all three companies is 5x + 10
System of equationSystems of equations are made of several equations with unknown variables.
Let the amount of customers company B has be x
If Company C has 10 customers more than company B, then the total customers for company B is x + 10
If Company A has three times as many customers as company B, the total customers for company A is 3x
Total customers = x + 10 + x + 3x
Take the sum
Total customers = 5x + 10
Hence the expression that represents the total number of customers held by all three companies is 5x + 10
Learn more on system of equation here: https://brainly.com/question/847634
How do you tell if a table shows y as a function of x?
like if i have a chart that looks like this:
x: 14 15 16 17 18
y: 100 80 110 100 90
Answer:
you have to find the common ratio between the y and the x, like what you have to multiply x by to get y
Step-by-step explanation:
like if your table is
x / y
-2. 6
-1. 3
0. 0
1. -3
2. -6
the ratio would be -3
On a coordinate plane, 2 lines are parallel to each other. This system of equations has
Answer:
no solution
Step-by-step explanation:
This is because they never intersect so there is no solution.
Answer:
no solution
Step-by-step explanation:
Luis is proving that the sum of the
measures of the interior angles of a
triangle is 180°. Which statement correctly
completes Luis's proof?
Answer:
Step-by-step explanation:
4. m < 1 + m < 4 + m < 5 = 180
help!!!!!!!!!!!!!!!!!!!!!!
Answer:
8
Step-by-step explanation:
$600 invested at 6% compounded annually for six years
Answer:
The final balance is $851.11.
The total compound interest is $251.11.
Step-by-step explanation:
BRAINLIEST :D?
Find the length of c. Round your answer to the nearest tenth.
Answer:
c = 12
Step-by-step explanation:
This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:
hypotenuse = 2xline opposite of 30° = xline opposite of 60° = x√3With that being said....
c = 2x
6 = x
a = x√3
We know that x = 6, so now solve for a & c:
c = 2(6) = 12
a = 6√3
Hope this helps!
5, 5, 9, 11, 13
Mean:
Median:
Range:
Answer:
The median is 9
The Range is 13-5=8
The mean is 5+5+9+11+13/5=43/5=8 3/5=8.6
please help I'll mark branliest
kirsty and Flo are raising money for charity; Kirsty raises /ive times as much as Fio, Tiesa
amount they raise is £172.50. How much do they each raise?
THANK U
Answer:
Kirsty raised £143.75 and Flo raised £28.75
Step-by-step explanation:
x = money raised by Flo
5*x = money raised by Kirsty
6*x = money raised together
6x = £172.50
Now divide each side by 6:
x = £172.50:6
x = £28.75 (money raised by Flo)
£172.50-£ 28.75 = £143.75 (money raised by Kirsty)
Kirsty raised £143.75 and Flo raised £28.75
Help picture below problem 20
Answer:
it's.. parallelogram..
Step-by-step explanation:
mark me brainliest
Answer:
That is a parallelogram.
Step-by-step explanation:
Not a square, not a rectangle, not a trapezoid.
A number x when added to its half, is equal to its third increased by 35.
Answer:
x=30
Step-by-step explanation:
x = x
half of x = (1/2) x = "its half"
third of x = (1/3) x = "its third"
"A number x when added to its half" = x + (1/2)x
"its third increased by 35" = (1/3)x + 35
according to the prompt, these two are equal, so
x + (1/2) x = (1/3)x + 35
x = 1x = (2/2)x to match denominators
(2/2)x + (1/2)x = (1/3)x + 35
= (3/2)x
(3/2)x = (1/3)x + 35
subtract (1/3)x from both sides to isolate the variable and its coefficients
(3/2)x - (1/3)x = 35
multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)
9x - 2x = 35*6
7x = 210
divide both sides by 7 to isolate x
x = 30
Bob plans to complete a 375 mile trip in hours. At what rate is he planning to travel?
Answer: 55 mph
Step-by-step explanation: rate=distance/time=275/5=55 miles per hour