Answers
Answer:
[tex] \frac{x - 4}{x - 7} [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7} [/tex]
Answer:
Step-by-step explanation:
x² + 2x - 24 = x² + 6x - 4x - 4 * 6
= x(x + 6) - 4(x + 6)
= (x + 6) (x - 4)
x² - x - 42 = x² -7x + 6x - 6 * 7
= x(x - 7) + 6(x - 7)
= (x - 7) (x + 6)
[tex]\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}[/tex]
Related Questions
Can the polynomial in the numerator of the expression x^2-5x+7/x-9 be factored to derive (x − 9) as a factor
Answers
Answer:
Step-by-step explanation:
We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:
9 | 1 -5 7
____________
First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:
9 | 1 -5 7
______9____
1
Now add down the column to get:
9 | 1 -5 7
_____9____
1 4
Now multiply 4 by 9 and put that product up under the 7:
9 | 1 -5 7
______9__36
1 4
Now add to see what the remainder is:
9 | 1 -5 7
_______9_36
1 4 R43
we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.
So the answer is No.
Triangle A B F is shown. Line B F is extended through point G. Line F A is extended through point C. A line is drawn from point A to point D. A line is drawn from point F to point E. Which represents an exterior angle of triangle ABF? ∠BAD ∠AFE ∠CAD ∠CAB
Answers
Answer:
(D) [tex]\angle CAB[/tex].
Step-by-step explanation:
The diagram is attached below:
Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.
In the diagram:
[tex]\angle ABF$ and \angle AFB[/tex] are opposite interior angles.
The third angle is [tex]\angle BAF[/tex]
The angle which forms a supplementary angle with [tex]\angle BAF[/tex] is [tex]\angle CAB[/tex].
Therefore, the exterior angle of triangle ABF is [tex]\angle CAB[/tex].
Answer:
D
Step-by-step explanation:
Just took the test and got it right
What is the solution to the division problem below? (You can use long division
or synthetic division.)
2x - 3x2 -5x - 12
X-3
A. 2x2 + x + 4
B. 2x2 + 3x + 4
C. 2x2 + 7x + 4
O D. 2x2 + 5x + 4
SUBMIT
Answers
Answer:
I would say B.
Step-by-step explanation:
I used synthetic division for this, so I'm unsure if this is right. I have yet to learn exponents with it. Here's how I wrote it : 3] 2 -3 -5 -12. I bring down the 2 and multiply it by three to get six. After that, I multiply the sum of it (3) and got 9. I do the same, get -4 and multiply it another time, getting positive 12. I add the twelves together, get zero, and put it together as 2x^2+3x+4.
Hope this helps!
Given the function ƒ(x) = 9x2 + 27x + 2, find ƒ(2)
Answers
Answer:
92
Step-by-step explanation:
Please use " ^ " to indicate exponentiation, ok? Thank you.
If
ƒ(x) = 9x^2 + 27x + 2, and we are to find ƒ(2), substitute 2 for x"
f(2) = 9(2)^2 + 27(2) + 2
This becomes:
f(2) = 36 + 54 + 2 = 92
hlp me hlp me hlp me hlp me
Answers
The unit rate would be points per game.
To find the points per game, divide both numbers by 6:
288/6 = 48
the unit rate would be 48 points / 1 game.
The answer is the first choice.
Answer:
[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex] or the 1st option
Step-by-step explanation:
[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex]
We get this answer because to find the unit rate, we need to get however many points over one game.
Calving works totally for 3 hours in weekdays and 5 hours in weekends. How many hours does he works in 4 weeks?
A. 36 hours
B. 32 hours
C. 20 hours
D. 12 hours
Answers
Answer:
B. 32
Step-by-step explanation:
5+3=8
8×4=32
// have a great day //
Which regression equation best fits these data?
Answers
[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
which 3 sticks should he use (there’s a picture of the problem)
Answers
Answer:
The answer is number three
Step-by-step explanation:
I know this because the formula for pythageon theorm is. (A)squared + (B)squared = (C)squared so if you substitude the value of number three into the therom it would be equal to this 6x6+8x8=10x10
then if you simplify it would equal 36 + 64 = 100 and so this would satisfy the therom.
The junior class sells tickets to a talent show to raise money. Each ticket sells for $8. How much money do they raise?
Answers
Answer:
unsolvable
Step-by-step explanation:
you need to know how many people bought a ticket
WILL give brainliest, I need these for my grade :c. 1.Find the Slope 2.Find the Slope 3. Find the midpoint
Answers
Answer:
Hard to calculate first one is -1/2
Next one is 2.5/1.5 or 2 its hard to tell because of line (not clear)
Next one is -1/2 I think the numbers are small.
You can sign up for Khan academy for clear answers
A rectangle with a length of x + 5 has a perimeter of 4x + 14.
1. Write the expression for the width of the rectangle in terms of x.
Help plsss
Answers
Answer:
hope this helps you
Order the simplification steps of the expression below using the properties of rational exponents. [tex]\sqrt[3]{7}=7^{\frac{1}{3}}[/tex]
A.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}}\cdot ^{\frac{1}{3}}\cdot ^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7\\[/tex]
B.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7\cdot 7^{\frac{1}{3}}=3\cdot \frac{1}{3}\cdot 7=1\cdot 7=7[/tex]
C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}}+\:^{\frac{1}{3}}+\:^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]
D.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7\cdot \left(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\right)=7\cdot \frac{3}{3}=7\cdot 1=7[/tex]
Answers
The answer is C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]
what you plug in for calculator
\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7
A chemist bought 2390 test tubes and beakers.1034 of them were test tubes and the rest were beakers.How many more beakers did the chemist buy than test tubes?
Answers
Answer:
322
Step-by-step explanation:
The question explains that the total of both test tubes and beakers were
= 2390.
If 1034 of them were test tubes, then the number of beakers bought,
= 2390 - 1034
= 1356.
The question requires the answer to how many more beakers than test tubes were bought, and this would mean subtracting the number of beakers from the number of test tubes.
= 1356 - 1034
= 322
Therefore, 322 more beakers than test tubes were bought.
Please help! Correct answer only, please!
Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product?
A · B
A.
B.
C.
D.
Answers
Answer:
B)
Step-by-step explanation:
If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.
The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:
I = [1 0 ; 0 1]
(First line: 1 0, second line: 0 1)
So the correct option is B)
-5/3 x(-1/8)weurEzzrtx
Answers
Answer:
-5/3 x (-1/8 )= 5/24 = 0.2083333
Step-by-step explanation:
HELP TIMED! WILL MARK BRAINLIEST! What are the domain and range of the piecewise function below? Graph and answer choices are attached.
Answers
Answer:
Its the second choice.
Step-by-step explanation:
x does not have a value of -2 so is not in the domain
The range does not have values greater than 1 and less than or equal to 4.
solve 2x2 + 16x + 6 = 0 by completing the square. Round the solutions to the nearest hundredth
Answers
X= plus or minus the square root of 13 minus 4
Or in decimal form
X= -0.39. X= -7.61
If x = 4 and y = 8 , evaluate the following expression: x/y Give your answer as a fraction in its simplest form.
Answers
Answer:
X/Y = 4/8= 1/2
Step-by-step explanation:
This is the answer of this question
What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?
Answers
Answer| range: {15, 11, 7, -3, -7}
Step-by-step explanation:
Plug in the domain to find the range:
x = 4
2(-4) + y = 7
-8 + y = 7
y = 15
x = -2
2(-2) + y = 7
-4 + y = 7
y = 11
x = 0
2(0) + y = 7
0 + y = 7
y = 7
x = 5
2(5) + y = 7
10 + y = 7
y = -3
x = 7
2(7) + y = 7
14 + y = 7
y = -7
plz, help. plzzzzzzzzzzzzz
Answers
Answer:
[tex]Area = 26.75 \:units^2[/tex]
Step-by-step explanation:
[tex]Area =\:\frac{\left(3.5\right)\left(2+2+5\right)}{2}+\frac{\left(2\right)\left(2\right)}{2}+\left(2\cdot 2\right)+\frac{\left(2\right)\left(5\right)}{2}\\\\=26.75[/tex]
Simplify the radical expression.
Answers
Answer:
x^4y^9, the second option.
Step-by-step explanation:
A radical sign over an expression also means the expression is to the power of 1/2. In other words, the square root of n=n^1/2
(x^8y^18)^1/2
You divide the powers by 2
x^4y^9 is the answer
Answer:
b
Step-by-step explanation:
Which is the first step in simplifying the expression 2(x + 3) + 5?
Answers
Answer:
Step-by-step explanation:
Feel pleasure to help you.
Which word describes a triangle with three angles, if each angle measures less than 90°? Please help
Answers
Answer:
acute triangle
Step-by-step explanation:
If an angle measures less than 90 degrees it is an acute angle
A triangle with all acute angles is an acute triangle
what is the value of x?
6x+12= 3x-43
PLSS I NEED HELPP
Answers
Answer:
-55/3
Step-by-step explanation:
6x+12=3x-43
Subtract 3x from both sides:
3x+12=-43
Subtract 12 from both sides:
3x=-55
Divide both sides by 3:
x=-55/3
Hope this helps!
Answer:
x = -18.33 or x = -55/3 (fraction form)
Step-by-step explanation:
first, you need to get x on one side,
6x + 12 = 3x - 43
-3x -3x
3x + 12 = -43
then, get the x by itself.
3x + 12 = -43
-12 -12
3x = -55
divide both sides by three
3x/3 = -55/3
x = -18.33
and you have your answer!
What is the inverse of g(x) =
X +8
Answers
Answer:
The inverse is x-8
Step-by-step explanation:
g(x) = x+8
y = x+8
To find the inverse, exchange x and y
x = y+8
Solve for y
Subtract 8 from each side
x-8 = y+8-8
x-8 = y
The inverse is x-8
-1 1/8 - 5/8 answer plz
Answers
Answer:
-1 6/8
Step-by-step explanation:
Answer:
-2 answer this is 100% correct
Step-by-step explanation:
Which of the following is a function?
Click on the graph until the correct graph appears.
Answers
Answer:
The correct graph should have x values that have no more than one y value.
Step-by-step explanation:
A the inputs (x values) of a function can have no more than one y value. This is a "fact" for functions. So you should click on the graph until you see a graph where every x value has exactly 0 or 1 y value.
Can someone help me out solved this problem plz! I need help ASAP! Help me I will mark you as brainiest! Show steps!
Answers
Answer:
14 minutes...
Step-by-step explanation:
Wage for an hour: $11.50 per hour
Wage for first 35 hours: $11.50*35 = 402.5
Wage after 35 hours: $17.25 per hour
Earning in one week: $626.75
Therefore, hours worked :
$626.75 - 402.5 = 224.25
Now 224.25/17.25 = 13
Therefore total hours is
13+35 = 48 Hours
Mark as brainliest
factorize x^2/16+xy+4y^2
Answers
Answer:
[tex]\frac{x^2}{16} +xy+4y^2[/tex] can be factored out as: [tex](\frac{x}{4} +2\,y)^2[/tex]
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Now, let's try to identify the values of [tex]a[/tex] and [tex]b[/tex] in the given trinomial.
Notice that the first term and the last term are perfect squares:
[tex]\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2[/tex]
so, we can investigate what the middle term would be considering our [tex]a=\frac{x}{4}[/tex], and [tex]b=2y[/tex]:
[tex]2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y[/tex]
Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:
[tex](\frac{x}{4} +2\,y)^2[/tex]
Factor. m² + 10m + 25
(m + 5)(m - 5)
(m + 5)²
(m - 5)²
(m + 25)²
Answers
Answer:
[tex]\left(m+5\right)^2[/tex]
Step-by-step explanation:
[tex]m^2+10m+25\\\mathrm{Rewrite\:}m^2+10m+25\mathrm{\:as\:}m^2+2m\cdot \:5+5^2\\m^2+10m+25\\\mathrm{Rewrite\:}25\mathrm{\:as\:}5^2\\=m^2+10m+5^2\\\mathrm{Rewrite\:}10m\mathrm{\:as\:}2m\cdot \:5\\=m^2+2m\cdot \:5+5^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=m,\:b=5\\\left(m+5\right)^2\\[/tex]
