The factored form of the expression is (x^2+2)(6x^2-5).
We have given the expression 6x^4 – 5x^2 + 12x^2 – 10
What is the factor of a polynomial?A factor of polynomial P(x) is any polynomial that divides evenly into P(x)
Factoring by grouping
Given the expression 6x^4 – 5x^2 + 12x^2 – 10
Group the terms to have
(6x^4 – 5x^2) + (12x^2 – 10)
Factor out the common values
x^2(6x^2-5)+2(6x^2 - 5)
(x^2+2)(6x^2-5)
Therefore the factored form of the expression is
(x^2+2)(6x^2-5).
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Simplify this equation...
Answer: 3) [tex]\frac{x+3}{x}[/tex]
Step-by-step explanation:
Start by factoring the numerator by grouping
[tex]\frac{x^3+2x^2-9x-18}{x^3-x^2-6x} \\\frac{(x^3+2x^2)+(-9x-18)}{x^3-x^2-6x} \\\frac{x^2(x+2)-9(x+2)}{x^3-x^2-6x} \\\frac{(x^2-9)(x+2)}{x^3-x^2-6x} \\\frac{(x-3)(x+3)(x+2)}{x^3-x^2-6x}[/tex]
Now factor the denominator
[tex]\\\frac{(x-3)(x+3)(x+2)}{x^3-x^2-6x}\\ \\\frac{(x-3)(x+3)(x+2)}{x(x^2-x-6)}\\[/tex]
Factor the trinomials by finding two numbers that add to get -1 and multiply to get -6. In this case the numbers are -3 and 2
[tex]\\\frac{(x-3)(x+3)(x+2)}{x(x^2-x-6)}\\\\\\\frac{(x-3)(x+3)(x+2)}{x(x-3)(x+2)}\\[/tex]
Cancel out the terms that are both in the numerator and denominator. In this case they are (x-3) and (x+2)
[tex]\\\frac{(x-3)(x+3)(x+2)}{x(x-3)(x+2)}\\\\\\\frac{(x+3)}{x}\\[/tex]
Jessica is 17 in five years her age will 5/2 the age of her sister
Given the information in the question, in three years, the age of Alica would be 53.
What are fractions?A fraction is a non-integer. It is made up of numerators and denominators. An improper fraction is a fraction where the numerator is larger than the denominator. An example is 5/2/
What will be Alicia's age in 3 years?The first step is to determine Jessica's age in 5 years : 17 + 5 = 22
The second step is to determine Alica's age in 5 years : 5/2 x 22 = 55
Now, subtract 2 from 55: 55 - 2 = 53
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What our data tells us is also known as the what?
A. Coefficient
B. Correlation
C. Proof
D. Guide
Barrett is 5 years less than half Cayden’s age. If Barrett is 11 years old, what is Cayden’s age?
(Someone help I’ve done this problem multiple times and I keep getting different answers)
The age of Cayden is given by the equation C = 32 years old
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the age of Cayden be C
Let the age of Barret be B = 11 years old
And , Barrett is 5 years less than half Cayden’s age
B = ( C / 2 ) - 5
On simplifying the equation , we get
11 = ( C / 2 ) - 5
Adding 5 on both sides , we get
16 = C / 2
Multiply by 2 on both sides , we getr
C = 32 years old
Therefore , the value of C is 32 years
Hence , age of Cayden is 32 years
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#SPJ7
4x2-16=0 gcf pre calc btw
(100 points) ASAP need help with khan academy practice
Answer:
125,
Step-by-step explanation:
the answer would be fifteen because 5 to the third power is 125.
The numbers 1-10 are placed in a bag. What is the probability of the number being between 2-7? PLEASE HELP, I will give BRAINLIEST to anyone that can answer me quickly. Professional or not, I seriously need help. Im giving 37 points.
The probability of picking a number beween 2 and 7 from the numbers placed in the bag is 2/5.
What is the probability?
Probability is a statistial measure used to determine the chances that a given event would happen. If the event would happen with certainity, it would have a value of 1. If it is certain the event would not happen, it would have a value of 0.
The probability of picking a number beween 2 and 7 = numbers between 2 and 7 / total numbers in the bag
4/10 = 2/5
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Which expressions are equivalent to ? Choose all the correct answers. Show your work in arriving at your answers.
Answer:A D but not sure for b
Step-by-step explanation:
The height of Mountain Pis 1,086 feet. The height of Mountain Q is 4 times the
height of Mountain P. The area model shown below represents one way to find
the height of Mountain
What is the height, in feet, of mountain Q?
Answer:
4,344 feet
Step-by-step explanation:
Mt. P is 1,086 feet tall. It says that Mt. Q is 4 times that. 1,086 x 4 is 4,344.
QUICKK HELP PLSSSSSS
Answer:
2/3 cupStep-by-step explanation:
Use the given proportion
4g = 6aSolve this for a, divide both sides by 6:
6a/6 = 4g/6a = (2/3)gIt means
2/3 cup of a guice is used for 1 cup of apple juiceSolve the inequality. 2(4 2x)≥5x 5 x≤−2 x≥−2 x≤3 x≥3
Answer:
x > 1, x5 < - 2/5
Step-by-step explanation:
In order to determine whether or not there is a significant difference between the mean hourly wages paid by two companies (of the same industry), the following data have been accumulated. Company A Company B Sample size 90 45 Sample mean $15.75 $15.25 Sample standard deviation $1.00 $0.95 The p-value is 0.0057. At the 5% level of significance, the null hypothesis should be rejected. should be revised. should not be rejected. should not be tested.
The p-value is 0.0057 and at the 5% level of significance, the null hypothesis should A. be rejected.
What is p-value?It should be noted that the p-value is used to validate a hypothesis against the observed data.
In this case, the p-value is 0.0057 and at the 5% level of significance, the null hypothesis should be rejected. This is because there's no enough evidence to conclude that there's a significant difference.
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Answer answer questions answer
Answer:
-16
Step-by-step explanation:
All you have to do is divide 4 from both sides, you do this so you can get W by itself
4w= -64
/4 /4
w= -16
Answer: the answer is option b
Step-by-step explanation:
4 times -16 is -64
Evaluate c/d if c= 4.75 and d=1 1/4 write your ancwer in simplest form. (Example3)
Hey there!
c/d
= 4.75 / 1 1/4
= 4.75 / 5/4
= 4.75 / 1.25
= 19/5
≈ 3 4/5
≈ 3.8
Therefore, your answers are:
• 19/5
• 3 4/5
• 3.8
(EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE ALL EQUIVALENT TO EACH OTHER)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which dog pens will take up the same area?
Simplify. 3(1 + 5x + y)
Answer:
Your simplified expression would be 15x + 3y + 3.
Step-by-step explanation:
Rearrange termsDistributeSolution = 15x + 3y + 3.
Vic's favorite cookie recipe uses 250250250 grams of flour for every 170170170 grams of butter. Imani made cookies using 750750750 grams of flour for every 630630630 grams of butter. What will Vic think of the amount of butter in Imani's cookies
Answer:
Vic would likely say that Imani is using too much butter. Vic is also using too much butter in their recipe, that much butter in any recipe can be lethal.
__________________________________________________________
Questions related to the topic? Ask me in the comments box.
Answer:
Vic has too much butter!!!
Step-by-step explanation:
A rectangle measures 4 1/2 inches by 2 3/4 inches what is its area?
Answer:
12.375
Step-by-step explanation:
Length x Width
L x W
4.5*2.75 = 12.375
Answer:
12 3/8
Step-by-step explanation:
4 1/2 x 2 3/4 = 99/8
99/8 simplified is 12 3/8
The figure is a parallelogram. Find the missing measures.
G is the center of the parallelogram, and the midpoint of both diagonals.
If CG = 7, then GE must also be 7.
CE = CG + GE = 7 + 7 = 14
CE = 14
If FD = 22, then FG must be half of 22, which is 11.
Hope this helps!
PLEASE HELP VERY URGENT
Suppose you know the following facts about angle ABC and angle DEF: (1) both triangles have sides of length a and b (2) For angle ABC, a^2 + b^2 = c^2 (3) For angle DEF, angle F is a right triangle. Use the list of expressions below to find the value of c in angle ABC and the length of the hypotenuse of angle DEF.
The value of c in angle ABC is _______ and the length of the hypotenuse of angle DEF is ________.
A. square root of a^2 + b^2
B. a^2 + b^2
C. b^2 - a^2
D. square root of a^2 - b^2
E. a^2 - b^2
F. square root of b^2 - a^2
(if u have trouble reading the text look at the attached photo for the question)
Answer:
√(a² + b²) is the answer as
Step-by-step explanation:
both ABC AND DEF are right triangles...
So Pythagoras theorem will work here
What is the product of 4 x 23? Type in the answer.
Answer:
92
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
What is the product of 4 x 23? Type in the answer?
=> 23 × 4
=> 92 answer
hope that helps...
The side lengths of △JKL are 60 cm, 80 cm, and 100 cm.
Which formula can be used to show that △JKL is a right triangle?
60^2+1002=80260 squared plus 100 squared is equal to 80 squared
60^2+802=100260 squared plus 80 squared is equal to 100 squared
60^2−802=100260 squared minus 80 squared is equal to 100 squared
80^2−602=100280 squared minus 60 squared is equal to 100 squared
Answer:
2nd option
Step-by-step explanation:
using the converse of Pyhagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 100 , then 100² = 10000
60² + 80² = 3600 + 6400 = 10000
then
60² + 80² = 100²
thus the triangle is right
A sandwich shop sells a foot-long grinder for $8 and a calzone for $6. Which equation shows the relationship between the amount of each type of product sold and the total sales, in dollars?
A. 14(x + y) = z; x represents calzones sold; y represents grinders sold; z represents total sales
В. 6x + 8y = Z, x represents calzones sold, y represents grinders sold: z represents total sales
C. 14(x + y) = z; x represents grinders sold, y represents calzones sold, z represents total sales
D. 6x + 8y = z; x represents grinders sold; y represents calzones sold: z represents total sales.
Answer:
B. 6x + 8y = z , x represents the calzones sold; y represents grinders sold; z represents total sales.
A small box contains 30 packets of cheese and onion crisps and 20 packets of salt and vinegar crisps
A large box contains 50 packets of cheese and onion crisps and 30 packets of salt and vinegar crisps
A packet of crisps in chosen at random
From which box are you more likely to choose a packet of salt and vinegar crisps
Answer: small box
Step-by-step explanation:
Large box probability is 30/80= 3/8
Small box = 20/50 =2/5
Which is bigger 3/8 or 2/5
15/40 or 16/40
please hepl check screenshot
Answer:
A) [tex]3x+1[/tex]
Step-by-step explanation:
[tex]\dfrac{6x^2+2x}{2x}[/tex]
Factor the numerator by factoring out the common term [tex]2x[/tex]:
[tex]\implies \dfrac{2x(3x+1)}{2x}[/tex]
Cancel the common factor [tex]2x[/tex]:
[tex]\implies 3x+1[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6x^2+2x}{2x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2x(3x+1)}{2x}[/tex]
Cancel 2x[tex]\\ \rm\Rrightarrow 3x+1[/tex]
Option A
True or false: The solution of 3x=9 is equal to the solution of x – 1=2.
Answer:true
Step-by-step explanation:
When finding an indefinite integral, your answer must include.
An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant.
What must an answer about a indefinite integral of a function include?
A definite integral is an infinitesimal sum derived from a integrable function, that is, a function that exist for all value x within the range of integration.
[tex]\int {f(x)} \, dx = \lim_{n \to \infty} \sum\limits_{i=0}^{n} f(x) \Delta x + C[/tex] (1)
Where C is the integration constant.
An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant. [tex]\blacksquare[/tex]
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g(a) = 3a + 2
f(a)=2a-4
Find (g/f)(3)
Answer:(gf)(3)=g(3)f(3) g(a)=3a+2 or g(3)=3(3)+2=9+2 =11 f(a)=2a−4 f(3)=2(3)−4=6−4=2 g(3)f(3)=112. Answer
Step-by-step explanation:
Capital Credit has offered Jackson a credit card loan of $5000 at an interest rate of
13.9% with a monthly payment of $170.65. If he was repay this loan in 3 years how much intrest will he pay?
Answer:
2000
Step-by-step explanation:
Steve noticed that there were 72 lights on and 78 lights turned off.
What percent of the lights are on?
Answer:
48% of the lights are on.
Step-by-step explanation:
First, gather the total amount of lights by adding the on and off lights.
72 + 78 = 150
There are 150 total lights.
Now set up a fraction to determine the percentage.
lights on/total lights = 72/150
Divide 72 by 150.
72/150 = 0.48
Multiply this by 100 to get the percent.
0.48 * 100 = 48%
48 percent of the lights are on.
Answer:
48 percent
Step-by-step explanation:
Your welcome!