Answers
Answer:
STEP
1
:
Equation at the end of step 1
((3 • (x3)) - 32x2) - 12x = 0
STEP
2
:
Equation at the end of step
2
:
(3x3 - 32x2) - 12x = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)
Trying to factor by splitting the middle term
4.2 Factoring x2 - 3x - 4
The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization
Equation at the end of step
4
:
3x • (x + 1) • (x - 4) = 0
STEP
5
:
Theory - Roots of a product
5.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Step-by-step explanation:
I hope this helps
Related Questions
What Is the answer to this geometric problem?
Answers
you can NOT assume points A, B, and F are collinear, since they could just be close together. also, they aren't all on a solid line, the line breaks halfway through.
also, the rest of the options could be proven by looking at the graph
hope this helps!! (sorry if i'm wrong, but i dont think i am)
M Is the midpoint of AB. If AB = 3x +14, and AM = 2x-1, find x and MB.
Answers
Answers:
x = 16
MB = 31
==================================================
Work Shown:
M is the midpoint of AB
This means AM is half as long as AB and AM = MB
Put another way, AB is twice as long as AM
AB = 2*AM
3x+14 = 2*(2x-1)
3x+14 = 4x-2
14+2 = 4x-3x
16 = x
x = 16
AM = MB
MB = AM
MB = 2x-1
MB = 2*16-1
MB = 32-1
MB = 31
Write the standard form of the equation of the line that passes through (-2, -3) and (2, -5).
Answers
the slope is 6-2/2-(-2)=4/4=1
point slope form: y-6=1(x-2)
slope-intercept form: y=x+4
Standard form: -x+y=4 change to x-y=-4
Hope that had helped
Have a nice day :)
What would i^7 be simplified to?
Answers
Answer:
-I
Step-by-step explanation:
The Hu Family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
PLEASE HELP I WILL MARK BRAINLIEST
Answers
Answer:
i think its 64.66
Step-by-step explanation:
07x53=3.71
0.15x53=7.95+53=60.95+3.71=64.66
Answer:
$64.66
Step-by-step explanation:
find the amount of tax 53 x .07 = 3.71
find the amount of the tip 53 x .15 = 7.95
53 + 3.71 + 7.95 = 64.66
Write the following equation in standard form.
y=-2x-7
Answers
Answer:
2x+y=−7
Step-by-step explanation:
HELP , ILL GIVE BRAINLIEST. Answer 5-8 please .
Answers
Answer:
#5. 17, #6. 22, #7. 14, and #8. 13
Step-by-step explanation:
Which expression is equal to √520−√345?
11√5
-√5
−11√5
√5
Answers
The value of the expression when simplified is equal to √5. The correct option is D.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given radical expression can be simplified as shown below,
5√20 - 3√45
Write the under root values in the factored form,
= 5√(4×5) - 3√(9×5)
Simply the function that can be simplified,
= 5(√4 × √5) - 3(√9 × √5)
= 5(2√5) - 3(3√5)
= 10√5 - 9√5
Take √5 as the common term from the two of the given terms,
= (10 - 9) √5
= 1 √5
= √5
Hence, the value of the expression when simplified is equal to √5.
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how much money is 18 figures?
Answers
Answer:
2.
Step-by-step explanation:
I don't know if it is right but thats what i got. You didnt really give enough information for me to solve it.
We have that an 18 figure is a Quintilllion=10^{18}
18 figure=10^{18}
Quintilllion
From the question we are told
How much money is 18 figures
Generally the denominations of money is is mathematically given as
Hundred=100
Thousand=1000
Million=1000000
Billion=1000000000
Quintilllion=10^{18}
Therefore
Therefore and 18 figure is a Quintilllion=10^{18}
18 figure=10^{18}
Quintilllion
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Which statement is a correct interpretation of the vertical line test?
If only one vertical lire intersects the graph at exactly one point, the graph represents a function
Off only one vertical lire intersects the graph at exactly one point, the graph does not represent a function
• If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function
✓ x
the
Answers
Answer:
A and D
because those are the correct ones :)
Answer:
D. If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
Explanation:
I took the quiz and got it right.
Hope this Helps!
2 1/2 divided by 5/2 = ?
Answers
Answer:
I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.
Step-by-step explanation:
0.00054 - (3.2 x 10-4)
in scientific notation and standard notation
Answers
Answer:
in scientific notation it is − 32x+4.00054
Step-by-step explanation:
thats all i know
Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P
charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must
be purchased in order for the total cost at Carnival M and Carnival P to be the same?
Answers
I put the information into this equation 5+0.65x=10+0.45x
I solved the equation by first subtracting the 0.45x from both sides to get the variable on one side. I was left with 5+0.20x=10. Then I subtracted the 5 from both sides and got 0.20x=5. Finally I divided both sides by 0.20 to get the X by itself and got X=25
⚠️WILL GIVE BRAINLIEST ANSWER⚠️
In complete sentences describe how you solve the expression below:
[tex] - 36 \div ( - \frac{4}{9} [/tex]
Answers
Answer:
81
Step-by-step explanation:
put -36 over 1 and -4/9 in its reciprocal which is -9/4 and multiply.. -36(-9)=324
then multiply -1 by -4=4 now you have 324/4 which is simplified to 81..
PLEASE GIVE BRAINLIEST REALLY NEED IT
round 63.796 to the nearest tenth
Answers
Answer:
63.8
Step-by-step explanation:
The tenths place is the number right after the decimal and the number in he hundredths place is greater than 5, therefore bumping up the 7 to an 8 and getting rid of the rest of the decimals.
Cómo se escribe el doble de un número en lenguaje algebraico
Answers
HELPPPP!!!! PLEASE AND THANK YOU ALL FOR ANYONE WHO ANSWER :)
simplify the expression
-d – 10.25(16d – 4)
Answers
Answer:
−165d+41
Step-by-step explanation:
Sergio wants to go the Empire State Building. The shortest path from the airport to the Empire State Building is about 14.4 miles long. What will be the cost of using Uber rush ?
Answers
Answer:
$5.76 should be the answer as 14.4 divided by 2.50 gets the answer.
Step-by-step explanation:
A smoothie shop receives a delivery of 682 ounces of grape juice and 570 ounces of orange juice.
If the Royal Purple smoothie requires 22 ounces of grape juice and the Orange Tango smoothie requires 19 ounces of orange juice, how many more Royal Purple smoothies than Orange Tango smoothies can be made with the shipment of juices?
A 2 smoothies
B 1 smoothie
C 13 smoothies
D 3 smoothies
Answers
ASAP definition for unit rate
Answers
Examples:
• 100 cars pass by in 2 hours. The unit rate is 50 cars per hour.
• You can paint 3 boards in half an hour. The unit rate is 6 boards per hour.
• 200 sausages were eaten by 50 people. The unit rate is 4 sausages per person.
• They need 5 m of thread to make 2 cm of cloth. The unit rate is 2.5 m per cm.
Answer:
the ratio of two measurements in which the second term is 1.
Step-by-step explanation:
Hope this helps! UwU
The ratio to boys to girls is 3:4.
If there is 12 boys how many girls are there?
Answers
Answer:
16
Step-by-step explanation:
3:4 to 12:?
3*4=12
so 4*4=16
12:16
What is the difference of –89.16 – 154.81?
–243.97
–65.65
65.65
243.97
Answers
Answer:
-243.97
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Point U is on line segment
TV
. Given TV=8 TU=2, determine the length uv
.
Answers
Answer:
Step-by-step explanation:
TV = VU + TU
Subsitute.
8 = VU + 2
-2 -2
VU = 6
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment UV is 6 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that Point U is on the line segment TV. Therefore, it can be said that point U will lie between TV. Thus, we can write,
TV = TU + UV
As given the length of TV is 8 units, the length of TU is 2 units,
8 units = 2 units + UV
8 units - 2 units = UV
UV = 6 units
Hence, the length of the line segment UV is 6 units.
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MAX POINTS ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST ONLY CORRECT ANSWER
A conjecture and the two-column proof used to prove the conjecture are shown.
Given: the measure of angle C B D equals 90 degrees. Prove: triangle A B C is a right triangle. Ray B D extends down and perpendicular from point B on segment B C.
Drag an expression or phrase to each box to complete the proof.
Statement Reason
1. m∠CBD=90° Given
2. ∠ABC and ∠CBD are supplementary. Response area
3. Response area Definition of supplementary
4. m∠ABC+90°=180° Response area
5. Response area Subtraction Property of Equality
6. ∠ABC is a right angle. Definition of right angle
7. △ABC is a right triangle. Definition of right triangle
Answers
Answer:
I took the test
Step-by-step explanation: Linear pair postulate
m<abc + m<cbd =180°
subtraction property of equality
m<abc -90°
All expression and phrase are filled below.
Here,
We have to filled all expression and phrase.
What is right angled triangle?
A right-angled triangle is a triangle, which has one of its interior angles equal to 90 degree.
Now,
Given that;
⇒ m∠CBD = 90 degree ….(i)
We have to prove triangle ABC is right angled triangle.
We can see that the line extends down and perpendicular to the line segment BC at point B.
We can also see that ∠ABC and ∠CBD are supplementary angle.
Hence, We prove as;
Statement Reason
1) m∠CBD = 90 degree ( Given )
2) ∠ABC and ∠CBD are supplementary. ( Because ABD is a line and
∠ABC and ∠CBD are linear
pair)
3). ∠ABC+∠CBD = 180 degree ( Definition of supplementary)
4) ∠ABC+ 90 = 180 degree ( m∠CBD = 90 degree )
5) ∠ABC + 90 - 90 = 180° - 90° ( subtraction property of equality)
∠ABC = 180° – 90° (from (i))
∠ABC = 90 degree
6) ∠ABC is a right angle. ( Definition of right angle)
7) Δ ABC is a right triangle. ( Definition of right triangle)
Therefore, according to definition of right angled triangle,
The triangle ABC is a right angled triangle.
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Plss help!!Need this ASAP!!Daniel began filling an empty swimming pool
at 8:00 AM. After 5 hours, the pool contained
230 gallons of water. If the water input continues
at a constant rate, how many more hours are
needed to completely fill the 920-gallon pool?
Answers
Answer:
15 hours
Step-by-step explanation:
To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.
help please thank you
Mary did the following problem.
57 - 6^2 + (10 + 2)
57 - 6^2 + 12
57 - 36 + 12
57 - 48
9
Which of the statements is true?
It is wrong because 6^2 is 12.
It is correct.
It is wrong because the subtraction should have been done before the addition.
It is wrong because 57 - 48 is 11
Answers
Answer:
its C
Step-by-step explanation:
i got this right on my quiz
Answer: it's wrong because subtraction comes before addition
Step-by-step explanation:
in the order of operations, there is PEMDAS
parentheses
exponents
multiplication
addition
subtraction
from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...
57-36+48
moving left to right you would do 57-36 first
given the value of mean of 4,7,x,9,8 is 6. Calculate x.
Answers
Answer:
2
Step-by-step explanation:
mean=6
number of terms=5
mean =sum of the terms/number of terms
6 = 4+7+x+9+8/5
by cross multiplying,
4+7+x+9+8 = 6 × 5
x+28=30
x=30-28
x=2
hope this helps you!
Help me solve this please ill give good rating...
Answers
Answer: For the first part, her total savings would be $88, and for the second part, (let's pretend s = the total savings) the equation would be s = 40 + w x 6.
Step-by-step explanation: As for the first part, we would need to multiply her money per week times the amount of weeks she works. We can do this by simply multiplying the amount she makes (6) by the amount of weeks she works (8), resulting in 48, but we still have to add that number to the amount she already has, or 40, making $88 in total, as for the second part, this does a great job of explaining the reasoning behind that as well. Hope this answered your question!
A rectangular field measures 400m by 900m, what is the perimeter of the field:
(A) in meters
(B)kilometers
Answers
Answer:
a) 1790 b) 1.79
Step-by-step explanation:
a) you just add to get the perimiter 2(900) + 2(400) to get 1790
b) 1000 meters makes a kilometer so we divide by 1000 and get 1.79 for the kilometers
Write the following equation in standard form.
y=-3/7x-3
Answers
[tex]y = - \frac{3}{7}x - 3 \\ [/tex]
Multiply sides by 7
[tex]7y = - 3x - 21[/tex]
Plus sides 3x
[tex]3x + 7y = 3x - 3x - 21[/tex]
[tex]3x + 7y = - 21[/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️