Answer: you have to divide
Step-by-step explanation:
Khan Academy
Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(x)=
Answer:
p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Step-by-step explanation:
(x+3) is the factor of polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex]
So, we can divide [tex]p(x) = x^3 + 7x^2 - 36[/tex] by (x+3) to find other factors
The division is shown in figure attached.
The quotient is: x^2+4x-12
Now factoring the quotient to find linear factors
[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]
The factors are [tex](x+3)(x-2)(x+6)[/tex]
So, p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Each of the points $A, B, C, D, E,$ and $F$ in the figure below represents a different digit from 1 to 6. Each of the five lines shown passes through some of these points. The digits along each line are added to produce five sums, one for each line. The total of the five sums is 47. What is the digit represented by $B$ ?
Answer:
(E) 5Step-by-step explanation:
Refer to picture
Calculating sums, we get a result of:
2A + 3B + 2C + 2D + 2E + 2E = B + 2(sum of all digits) = 47Sum of all digits is:
1 + 2 + 3 +4 + 5 + 6 = 1/2*6*(1 + 6) = 21Considering this in the equation above, we get:
B + 2*21 = 47B = 47 - 42B = 5Correct answer is (E) 5
A rancher has a square cow pen with side length x. He decides to change the shape
of the pen while still using the same amount of fencing materials. The equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
of the pen and its area (in square feet).
a. If 300 represents the area of the new cow pen, what do the expressions
(x + 10) and (x - 10) each represent?
b. Find x, the original side length (in feet) of the square pen. Show your reasoning.
Answer:
a) x+ 10 is the length of the ranch
x - 10 is the width of the ranch
b) 20 feet
Step-by-step explanation:
Area of the square ranch = L²
L is the side length of the ranch
If the equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
Then we can find x where;
x + 10 is the new length of the ranch
x - 10 is the new width of the ranch
Open the parenthesis
equation
(x + 10)(x - 10) = 300
x²²-10x + 10x - 100 = 300
x² - 100 = 300
x² = 300+100
x² = 400
x = √400
x = 20
Hence the original length of the square pen is 20 feet
The values (x + 10) and (x - 10) represents the length and width of the new pen.
The value of x, the original length of the pen is 20 cm
How to find the side of a square?The pen is a square. It was later reconstructed to form the following expression.
(x + 10)(x - 10) = 300
where
area = 300 feet squaredTherefore,
(x + 10)(x - 10) = 300
x² - 10x + 10x - 100 = 300
x² - 100 = 300
x² = 300 + 100
x² = 400
x = √400
x = 20 ft
Therefore, the original side length of the square pen is 20 ft.
learn more on square here: https://brainly.com/question/23821172
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Need this to be solved thanks
Answer:
The answer is B
Is it possible for you to get brainliest if correct?
Step-by-step explanation:
pear+apple=3
3pear+3apple=9
10.50-9=1.50
apple = 1.50
If he saves $50 a week , about how many months will it take to have enough to buy the motorcycle
Answer:
Step-by-step explanation:
There is not enough info.
But you would take-
price of the motorcycle=50(x) x is the number of months. I can't give the exact amount without the price of the bike.
please help me I need this for school
Answer:
It would be c!
Step-by-step explanation:
Describe the shape of the distribution
Answer:
it is bimodal
Step-by-step explanation:
pls make me ur brainliest
Answer:
it is skewed
Step-by-step explanation:
What's 84 divided by 10 1/5? Thanks.
Answer:
8.23529412
Step-by-step explanation:
Do long division to get the answer as simple as that!
Answer:
168
Step-by-step explanation: (10 1 ÷5) ÷ 84
F=1.8C+32 solve for given variable
Answer:
Step-by-step explanation:
The formula F = 1.8C + 32 can be used to find the temperature in degrees Fahrenheit F when the temperature is given in degrees Celsius C. For what value is the temperature in degrees Fahrenheit equal to the temperature in degrees Celsius? Justify your reasoning by writing and solving an equation. (Hint: If Fahrenheit and Celsius are equal, they can be assigned the same variable.)
Roxanna has a collection of silver spoons from all over the world.
- If the spoons are arranged in sets of 7, there are 5 left over.
- If the spoons are arranged in sets of 8, there is 1 left over.
- If the spoons are arranged in sets of 15, there are 14 left over.
If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?
Which statements are TRUE? Select all that apply.
A. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
B. If 6 pens cost $7.74, then 7 pens cost $9.03.
C. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
D. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
E. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
Answer:
A, B, D are true
Step-by-step explanation:
A) Speed = Distance travelled ÷ time taken
= 112 ÷ 1.75
= 64 miles per hour
True
B) Cost of 6 pens = $7.74
Cost of 1 pen = 7.74 ÷ 6 = $ 1.29
Cost of 7 pens = 1.29 * 7 = $ 9.03
TRUE
C) Speed = 57 miles per hour
4 hour 10 minutes = 250 minutes
Distance traveled in an hour = 57
Distance traveled in 250 minutes = (57* 250) ÷ 60 = 237.50 miles
FALSE
D) Cost of 17 cans = $ 38.59
Cost of 1 can = 38.59 ÷ 17 = $2.27
Cost of 3 cans = 2.27 * 3 = $ 6.81
TRUE
e) Cost of two dozen eggs = $ 8.40
Cost of an egg = 8.40 ÷ 24 = $ 0.35
FALSE
Pls answer 55-62 I will give brainlist
Roxanna has a collection of silver spoons from all over the world.
If the spoons are arranged in sets of 7, there are 5 left over.
If the spoons are arranged in sets of 8, there is 1 left over.
If the spoons are arranged in sets of 15, there are 14 left over.
If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?
Answer: 89
Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89
Wich calculation will ALWAYS have a result greater than 1
Step-by-step explanation:
number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1
-2/3 x 3/4
Please help!
Answer:
-1/2
Step-by-step explanation:
Answer:
-9/8.
Step-by-step explanation:
-3/2 * 3/4
= -3*3 / 2*4
= -9/8.
2 4/5 ___ 2.45
(>,<,=)
Answer:
2 and 4/5 > 2.45
Step-by-step explanation:
2.8 is greater than 2.45
Answer:
2 4/5 is equal to 2.8 so 2 4/5 > 2.45
Step-by-step explanation:
PLEASE HELP!!
The blue dot is at what value on the number line?
Pictrure Below:
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the length of the rectangle.
Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So
[tex]Area = 135yd^2[/tex]
[tex]L=3W - 12[/tex]
Required
Determine the length of the rectangle:
Area is calculated as thus:
[tex]Area = L * W[/tex]
Substitute 3W - 12 for L and 135 for Area
[tex]135= (3W - 12) * W[/tex]
[tex]135= 3W^2 - 12W[/tex]
Reorder:
[tex]3W^2 - 12W - 135= 0[/tex]
Divide through by 3
[tex]W^2 - 4W - 45 = 0[/tex]
Expand:
[tex]W^2 - 9W + 5W - 45 = 0[/tex]
[tex]W(W - 9) + 5(W - 9) = 0[/tex]
[tex](W + 5)(W-9) = 0[/tex]
[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]
[tex]W = -5[/tex] or [tex]W = 9[/tex]
But width can't be negative
So:
[tex]W = 9[/tex]
Recall that: [tex]L=3W - 12[/tex]
[tex]L = 3 * 9 - 12[/tex]
[tex]L = 15[/tex]
Hence, the length 15 yards
factor 2w+6
Please explain? I'd like to understand how you did it so that I can do it myself the next time, thanks a mil :)
Answer:
2( w + 3 )
Step-by-step explanation:
Well first off, since theres no common term to factor out, I had to split 6 in half
so 2 w + 6 becomes 2w + 2 x 3.
I then factored out 2 because it's a common term,
which then leaves: 2( w + 3 )
basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.
The rectangle shown as a perimeter of 70 cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a system of equations to find the dimensions of the rectangle.
The length of the rectangle is ___cm and the width of the rectangle is ___cm.
width of the rectangle = b = x
length of the rectangle = l = 8 + 2x
Perimeter of the rectangle = 70cm
Also, perimeter of the rectangle = 2(l + b)
70 = 2[x + (8 + 2x)]
70 = 2(x + 8 + 2x)
70 = 2(3x + 8)
70 = 6x + 16
70 - 16 = 6x
54 = 6x
54/6 = x
9 = x
Therefore, b = x
b = 9cm
l = 8 + 2x
I = 8 + 2×9
I = 8 + 18
I = 26cm
What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
Answer:
x=8
Step-by-step explanation:
Follow the order of operations to simplify the equation:
5(x-3) +2x=41
Start by multiplying into the parenthesis: 5x-15+2x=41
Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41
Add 15 to both sides: 7x=56
Divide both sides by 7 to get x by itself: x=8
Hope this helps! (^-^)
There were 935 offenses in 2000 and 2448 offenses in 2019. What is the percentage increase?
Answer:
Approximately 262%
Step-by-step explanation:
To find the percentage increase divide the new amount of offenses by the old amount of offenses:
2448/935 = 2.618
2.618 rounds to 2.62. Convert 2.62 into a percentage: 262%
The percentage increase between the amount of offenses in 2000 and the amount of offenses in 2019 is approximately 262%.
All changes saved
4. Calculate the federal income taxes. In 1862, the federal income tax was 3 percent on incomes between $600 and $10,000 per year and 5 percent on incomes
over $10,000 per year. In 1862, you made $750. How much did you pay in income taxes?
O $37.50
O $225
O $22.50
$2,250
Answer:
$22.50
Step-by-step explanation:
My bad lol, I posted the answer under the wrong thing.
If Triangle ABC is congruent to Triangle SRT, find the possible value(s) for x
Answer:
x = 2 or x = -3
Step-by-step explanation:
Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.
Thus:
[tex] RT = BC [/tex]
[tex] (x^2 + x) = 6 [/tex]
Solve for x
[tex] x^2 + x = 6 [/tex]
Subtract 6 from each side
[tex] x^2 + x - 6 = 6 - 6 [/tex]
[tex] x^2 + x - 6 = 0 [/tex]
Factorise
[tex] x^2 + 3x - 2x - 6 = 0 [/tex]
[tex] x(x + 3) -2(x + 3) [/tex]
[tex] (x - 2)(x + 3) [/tex]
x = 2 or x = -3
what is 0.125 in a percent
What is the slope of the line that passes through the points (2, -3) and (2, 13)
Write your answer in simplest form.
Answer:
The answer is undefined
Step-by-step explanation:
The slope of the line that passes through points (2, -3) and (2, 13) is not defined.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through points (2, -3) and (2, 13)
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Plug the values to find the slope of the line:
m = (13 + 3)/(2-2) = 16/0 = not defined
Thus, the slope of the line that passes through points (2, -3) and (2, 13) is not defined.
Learn more about the linear equation here:
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You spend half of your money on a movie ticket. Then you spend half of what you have left to buy a large popcorn. Then you spend half of what remains to buy a small drink. Which expression equals the fraction of money you have left?
Answer:
1/8
Step-by-step explanation:
1 divided by 2 = 1/2
1/2 divided by 2 = 1/4
1/4 divided by 2 = 1/8
PLS HELP. URGENT
Serena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer)
1. Here is a number line. Write the two missing numbers in the boxes.
0
2
Answer:
The box on the left is 0.4 and the box on the right is 1.8
Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?
Answer:
14.4 there sorry for the wait