The equation which shows the one way to determine the factors of provided equation by grouping is,
[tex]2x^2(6x-1)+3(6x-1)[/tex]
What is a factor of polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The provided polynomial equation is,
[tex]12x^3 - 2x^2 +18x - 3[/tex]
To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.
[tex]12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)[/tex]
Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,
[tex]2x^2(6x-1)+3(6x-1)[/tex]
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There are 2 cups in 1 pint.
Use the drop-down menus to help write the equation that can be used to find the
number of cups, c, given the number of pints, p.
The equation that shows the relationship between the number of cups and pints is c = 2p.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:
c = 2p
When p = 2; c = 2(2) = 4
When p = 3; c = 2(3) = 6
The equation that shows the relationship between the number of cups and pints is c = 2p.
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Answer:
What is an equation?
An equation is an expression used to show the relationship between two or more variables and numbers.
Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:
c = 2p
When p = 2; c = 2(2) = 4
When p = 3; c = 2(3) = 6
The equation that shows the relationship between the number of cups and pints is c = 2p.
Is it A, B, C, or D?
Answer:
The answer is C.
What is the slope of the graph of 5x - 2y = 20?
Answer:
slope
5/2
y-inter
-10
The slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the equation of the line as 5x - 2y = 20.
We have the equation of the line as -
5x - 2y = 20
2y = 5x - 20
y = (5/2)x - 10
[m] = 5/2
Therefore, the slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2
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A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 9 hours? What is the rate of speed of the jet?
Answer:
235 miles per hour and 2,115 miles in 9 hours
Step-by-step explanation:
First determine how many miles the jet files in one hour:
470/2 =235 miles/hour
We want to know how many hours the jet could fly in 9 hours, so we multiply this value by 9.
235 x 9 = 2115 miles
Therefore, the jet could fly 2115 miles in 9 hours.
Paolo is solving the inequality 15+2x>31.
To solve the inequality, he begins by solving the equation as shown.
Which number line represents the solution to the inequality?
Answer:
The number line that shows x > 8
Step-by-step explanation:
First, subtract 15 from both sides
15 + 2x -15 > 31
2x > 16
Then divide both sides by 2
2x ÷ 2 > 16 ÷ 2
x > 8
The answer is:
x > 8
Work/explanation:
To solve this inequality, we need to isolate x.
So first, I subtract 15 on each side:
[tex]\sf{2x > 31-15}[/tex]
[tex]\sf{2x > 16}[/tex]
Now, divide each side by 2:
[tex]\sf{x > 8}[/tex]
Hence, the answer is x > 8.HELP ASAP I give total 100 points and big brain!! answer these pless
1.A system of equations consists of two lines. One line passes through (0, 4) and (1, 7) . The other line passes through (−1, −5) and (5, 13) .
Does the line through the first pair of points intersect the line through the second pair of points?
yes or no
2.
Select the correct choices to complete the sentence.
A system of equations consists of two lines. One line passes through (0, 2) and (9, −1) . The other line passes through (12, 7) and (−6, −5) .
Does the line through the first pair of points intersect the line through the second pair of points? yes or no
Step-by-step explanation:
Find the slopes of the lines and compare. The lines intersect if slopes are different.
Q1Slopes are
[tex]m_1= (7-4)/(1-0)=3\\[/tex][tex]m_2= (13+5)/(5+1)=3\\[/tex]Slopes are same, lines are parallel
Q2Slopes are
[tex]m_1= (-1-2)/(9-0)=-3/9=-1/3\\[/tex][tex]m_2= (-5-7)/(-6-12)=-12/-18=2/3\\[/tex]Lines intersect as slopes are different
Slopes must not be equal to get intersection
#1
For first line
m=7-4/1-0=3/1=3For second
m=13+5/5+1=18/6=3No,Parallel
#2
First
m=-1-2/9-0-3/-9=1/3Second
m=-5-7/-6-12=-12/-18=2/3Yes, Intersect
The equations below were created by students who were asked to write equivalent expressions on either side of the equals sign. Imagine you are a teacher. Your job is to decide whether their work is right or wrong. If you see an equation that is false, then: Say it is False. Then how you know it is false. 2(n + 3) = 2n + 3 *
Answer/Step-by-step explanation:
Given that a student wrote the following equation:
[tex] 2(n + 3) = 2n + 3 [/tex]
Looking at the expression on both sides, they don't seem equal. To be sure, use any value to represent "n" in the equation. Then, simply. If what you have on your left is equal to what you have in your right, then the equation is TRUE. If otherwise, it is FALSE.
Let n = 2
[tex] 2(n + 3) = 2n + 3 [/tex]
[tex] 2n + 6 = 2n + 3 [/tex]
Plug in the value of n
[tex] 2(2) + 6 = 2(2) + 3 [/tex]
[tex] 4 + 6 = 4 + 3 [/tex]
[tex] 10 = 7 [/tex]
This is not FALSE. 10 ≠ 7.
Therefore, the equation written by the student is FALSE.
A race car game takes 6 points from a player each time the player hits a cone. What integer represents the change in total points if the player hits 10 cones?
Given:
A race car game takes 6 points from a player each time the player hits a cone.
To find:
The integer which represents the change in total points if the player hits 10 cones.
Solution:
According to the given information,
1 hit = -6 points
Here, negative sign represents the reduction in points after hitting a cone.
If the player hits 10 cones.
(1 × 10) hit = (-6 × 10) points
10 hit = -60 points
So, the change in total points if the player hits 10 cones is -60.
Therefore, the required integer is -60.
Answer: 60
Step-by-step explanation:
based on the given conditions, formulate:
Calculate the product or quotient: 60
get the result Answer: 60
Good luck
Select the correct answer.
Find the solution(s) for x in the equation below.
So
x=4 and x=5Option B
Answer:
B(x=4,x=5)
Step-by-step explanation:
Here,
[tex]x^{2} -9x+20=0[/tex]
We can find the value of x by various methods.
Method 1
By using formula
x=-b±√b²-4ac/2a
For ax²+bx+c=0
Here,
a=1, b=9, c=20
Putting the values.
x=-b±√b²-4ac/2a
x=-(-9)±√9²-4×1×20/2×1
Taking positive one.
[tex]x=\frac{-(-9)+ \sqrt{81-80} }{2} \\\\x=\frac{9+1}{2} \\\\x=5[/tex]
Taking negative one.
[tex]x=\frac{-(-9)- \sqrt{81-80} }{2} \\\\x=\frac{9-1}{2} \\\\x=4[/tex]
x=5,x=4
Method 2
[tex]\hookrightarrow x^{2} -9x+20=0\\\\\hookrightarrow x^{2}-4x-5x+20=0\\\\\hookrightarrow x(x-4)-5(x-4)=0\\\\\hookrightarrow (x-5)(x-4)=0[/tex]
x-5=0....I
x-4=0.....II
Solving equation I
x-5=0
x=5
Solving equation II
x-4=0
x=4
The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 flat fee for shipping. If the school orders 15 T-shirts, how much will the total cost be?
Answer:
$95
Step-by-step explanation:
Step one: Multiply the number of shirts and cost of the shirt. Which is $45.
Step two: Add the shipping fee ($50) to $45
Step three: After adding those you should get $95 as your answer.
*Sorry if I'm incorrect*
What is the solution set for - 4x + 10 > 5x + 55?
Answer:
x<−5
Step-by-step explanation:
Let's solve your inequality step-by-step.
−4x+10>5x+55
Step 1: Subtract 5x from both sides.
−4x+10−5x>5x+55−5x
−9x+10>55
Step 2: Subtract 10 from both sides.
−9x+10−10>55−10
−9x>45
Step 3: Divide both sides by -9.
−9x
−9
>
45
−9
x<−5
Sara buys 2 pounds of grapes every
8
week for 12 weeks. How many pounds of
grapes did Sara buy over the 12 week
period?
Answer:
I think 24 weeks that's my answer
Help meeeeeeeeeeeee question 1 !!!!
Answer:
7 times $8 = 56
Step-by-step explanation:
Question 1:
So, we are going to multiply 7 by $8.
If Brandie earns 8 dollars an hour, then we can multiply 8 by 7 to find out how much money Brandie earns in 7 hours.
Now multiply 8 by 7.
8 * 7 = 56
The independent variable is the hours. The hours can change, but this affects what the dependent result is.
The amount of money stays the same.
The dependent variable is the result, which is the total amount of money earned.
Hope this helps!
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Please help I know how to do this but there’s too much
Answer: See attached images
Step-by-step explanation:
For third period:
Minimum = 67
1st Quartile: 79.5
Median/2nd Quartile: 85
3rd Quartile: 90.5
Maximum = 99
I've attached the image for this class's box plot.
For Sixth Period:
Minimum = 70
1st Quartile: 79.5
Median/2nd Quartile: 88
3rd Quartile: 90.5
Maximum = 95
I've also attached the image for this class's box plot
Look at this table:
x y
1 15
3 6
3 8
12 18
Is this relation a function?
Answer:
No, because the you have two of the same inputs.
Which number is farthest from 2 on the number line? StartRoot 2. 1 EndRoot StartRoot 2. 4 EndRoot StartRoot 2. 5 EndRoot StartRoot 2. 9 EndRoot.
A number line is a representation of a graded straight line. The value that is farthest from 2 is √2.1.
What is a number line?A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are indicated by the symbol 'R'. A real number is considered to correspond to every point on a number line, and a point to every real number.
On the number line, positive numbers are on the right side of the number line while negative numbers are on the left side of the number line. Now, the value of all the given options can be written as,
[tex]\sqrt{2.1}=1.45 \\\\\sqrt{2.4}=1.55\\\\\sqrt{2.5}=1.58\\\\\sqrt{2.9}=1.7[/tex]
As we can see that the approximate value of the square root values is written above the value that is farthest from 2 is 1.45.
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.A car travels 480km in 4 hours. How long would it travel in 18 hours.
Answer:
2160
Step-by-step explanation:
18/4= 4.5
480km * 4.5= 2160
Answer:
2160
Step-by-step explanation:
Find the area of the shaded region of circle F below. Round your answer to the
nearest tenth if necessary.
Check the picture below, so the shaded area is really just the area of one quarter of a circle's area with a radius of 7, and a triangle whose base is 7 and height is 7, so let's simply sum both of them up.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{quarter of a circle}}{\cfrac{1}{4}(\pi)(7)^2}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(7)(7)}}\implies \cfrac{49\pi }{4}~~ + ~~\cfrac{49}{2}~~ \approx~~63.0[/tex]
Find 12.48+(-10.636) Write your answer as a decimal.
Answer:
1.844
Step-by-step explanation:
easyy
The gas mileage of two trucks was compared from two different advertisements. The information is shown in the table. If the best gas mileage is the highest rate, which truck has the BEST gas mileage?ATruck A, because for every mile the truck uses 19 gallons. BTruck A, because for every gallon the truck goes 19 miles. CTruck B, because for every mile the truck uses 18 gallons. DTruck B, because for every gallon the truck goes 18 miles
The gas mileage of the trucks is the number of miles traveled per gallon of gas
The truck that has the best gas mileage is (b) Truck A, because for every gallon the truck goes 19 miles.
How to determine the true statementAs stated above, gas mileage measures the miles traveled by one gallon of gas.
This means that options (a) and (c) cannot be true, because these options measure the number of gallons used per mile
From the complete question, truck A uses 1 gallon for 19 miles, while truck B uses 1 gallon for 18 miles.
19 miles per gallon is greater than 19 miles per gallon
This means that truck A has the greater mileage
Hence, option (B) is true
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When asked to draw a triangle with two 45 angles and a side length of 8 cm, Diego drew this triangle.
Do you agree with Diego’s answer?
Is there a different triangle Diego could have drawn that would answer the question? Explain or show your reasoning
The triangle is an equilateral triangle, therefore, Diego didn't draw the right triangle.
What is a triangle?A triangle simply means a polygon that has three edges and vertices. It's a shape in geometry.
In this case, I don't agree with Diego's drawing as the triangle is an equilateral triangle and this means that each side is 60° and not 45° as illustrated.
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7 times the quantity of 3 times a number reduced by 10
Answer:
3 times a number:
3x
Reduced by 10 means we subtract 10:
3x - 10
7 times this quantity:
7(3x - 10)
Therefore, your answer is 7(3x - 10).
☆Hoepfully this helps!!
You ask a question with 4 possible responses. Each possible response is given by at least
10 customers. What is the maximum number of customers giving any one response?
a) 10
b) 20
c) 40
d) 70
Answer:
40
Step-by-step explanation:
4•10(10 answers at 4 people)
Given AC=BD, and AB and CD bisect each other. Prove: <A = <B
Step-by-step explanation:
so <A=<B
Hope it helps
for any question comment me ❤❤❤
Lewis recently filed bankruptcy and now has a poor credit rating. he moved into an apartment and is setting up new accounts for his electric and cable. the deposits and connection fees for customers based on their credit rating are shown below. electric deposit electric connection fee cable deposit cable connection fee good rating $90 $50 $65 $75 poor rating $205 $75 $150 $110 how much more in deposits and fees will lewis pay to have his electric and cable turned on because of his bankruptcy? a. $260 b. $280 c. $360 d. $540
Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.
What is bankruptcy?Bankruptcy is a legal proceeding involving a person or business that is unable to repay its outstanding debts.
Had Lewis not filed bankruptcy, he would have paid = 90+50+65+75
He would have paid (let us say amount A)= $280
After filing for bankruptcy he has to pay = 205+75+150+110
He has to pay (let us say amount B)= $540
Difference between amount A and amount B = $540-$280
Difference between amount A and amount B = $260
Therefore, Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.
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In a cafeteria 1/10 of the students are eating salads, and, 2/5 are eating sandwiches. there are 20 students in the cafeteria. how many students are eating lunches other than salads or sandwiches
20 x 1/10 have salads = 2 students
and
20 x 2/5 have sandwiches = 8 students
so 10 students are eating lunches other than salads or sandwiches
(20 - 2 - 8)
or 1/10 + 2/5 = 1/10 + 4/10 = 5/10 have salad and sandwich
so 5/10 have no salad no sandwich
and 5/10 x 20 = 10
Answer:
5/10, or 1/2
Step-by-step explanation:
2/5 = 4/10
4/10 + 1/10 = 5/10
10/10 - 5/10 = 5/10
Simplified, 1/2
pls mark brainlnst
Elliot's dinner bill, including a 15% tip, is $12.65. what was the amount of the bill before the tip?
Answer:
Step-by-step explanation:
Very simple, if the total was $12.65, and they included a 15% tip, so we do 12.65 *15%=1.8975
So we subtract that by 12.65 and our answer is approximately $10.75
Answer:
The Correct Answer Is : 11
Step-by-step explanation:
I Just Took The Test
Select the reason that best supports Statement 6 in the given proof.
Answer: D. Subtraction property of equality
Step-by-step explanation:
They are subtracting 6 from both sides of the equality.
Four brother each bought two hotdogs and a bag of chips at the football
concession stand. If the bag of chips was $1.25, and the total was $18.20.
what was the price of ONE hotdog?
$1.65
$2.11
$2.27
$3
Answer:
A-$1.65
Step-by-step explanation:
You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the left over amount from subtracting the chips you get how much each hot dog is worth.