Answer:
Greatest Common Factor
Step-by-step explanation:
Let [tex]55\cdot x^{3}-40\cdot x^{2}[/tex], we proceed to demonstrate the appropriate form to factor the polynomial:
1) [tex]55\cdot x^{3}-40\cdot x^{2}[/tex] Given.
2) [tex](5\cdot 11)\cdot (x^2\cdot x) +[5\cdot (-8)]\cdot x^{2}[/tex] Definition of multiplication and subtraction/[tex]a^{b+c} = a^{b}\cdot a^{c }[/tex]/[tex]-a\cdot b = (-a)\cdot b[/tex]/Associative property
3) [tex](5\cdot x^{2})\cdot (11\cdot x)+ (5\cdot x^{2})\cdot (-8)[/tex] Commutative and associative properties
4) [tex]5\cdot x^{2}\cdot (11\cdot x-8)[/tex] Distributive property/Definition of subtraction/Result
Hence, we conclude that this polynomial can be factored by Greatest Common Factor.
Find the length of D.
Answer:
root 50
Step-by-step explanation:
Pythagorean theorem d is the hypotenuse
Answer:
5/2
Step-by-step explanation:
/50 if you do a2+b2=c2 and c=d
Add the following Linear Expressions.
(-6y - 3) + 5 (3+2.5y)
leaving the freeway, denise slows from 55 mph to 35 mph in 4 seconds. what was her rate of deceleration?
Answer:
5 miles per hour/second
5(y+2)=4(x−3) find the slope
Answer:
4/5
Step-by-step explanation:
solved it
Answer:
4/5 = 0.8
Step-by-step explanation:
u can use
wolfram alpha to help u with stuff like that
Given that
9^-1/2 = 27^1/4 ÷ 3^x+1
Find the exact value of x.
Answer:
Find the exact value using trigonometric identities.
Exact Form: x=34
Decimal Form: x=0.75
Step-by-step explanation:
The value of x is 3.
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]
[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]
[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]
[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]
[tex]3^{-1}= 3^{1-x+1}[/tex]
[tex]3^{-1}= 3^{2-x}[/tex]
On comparing we get,
-1=2-x
x= 3
Hence, the value of x is 3.
Learn more about this algebra here:
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help plzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer: 1
Step-by-step explanation:
I tried search this but it wouldn’t work
Answer:
I dont know that try asking one of the tutors one here
To multiply 10 with 2/5
you should_________.
Answer:
convert 2/5 to a decimal, which is 0.4
multiplying a value by 10 means you should move the decimal point one unit to the right
so 10 x 2/5 = 4
Step-by-step explanation:
Answer:
i should multiply 10 by 2/5
10×2/5
=20/5
=4
You purchase a video game system for $150. You make a down payment of $25. You pay the rest of the money you owe in 5 equal monthly payments with no interest. How much is each monthly payment ?
Can you help me set the problem up too? thx
9514 1404 393
Answer:
$25
Step-by-step explanation:
Let p represent the monthly payment. There are 5 of them, so the amount of their total is 5p. That, together with the down payment, makes up the entire cost of the system.
5p +25 = 150 . . . . an equation representing the relationships
__
To solve this, subtract 25 and divide by 5.
5p = 125
p = 125/5 = 25
Each monthly payment is $25.
There is a third shower that uses 45 gallons of water in 15 minutes. What is the usage rate for this shower?
Answer:
3gallons per minute
Step-by-step explanation:
1 point
Draw a triangle with the following interior angles: Angle 1=71 degrees and
Angle 2= 82 degrees. FIND Angle 3. WRITE ANSWER AS THE FOLLOWING;
Angle Angle 3=#
Your answer
Answer:
angle 3 = 27 degrees
Step-by-step explanation:
Answer:
Angle 3 = 27
Step-by-step explanation:
Because the interior angles of a triangle always add up to 180 degrees, you can do 180 - 82 - 71 = 27 degrees for the third angle.
You set up a hot chocolate stand at a football game. The cost of your supplies is $75. You charge $0.50 for each cup of hot chocolate. Write a function that represents the profit P for selling c cups of hot chocolate.
Answer:
P = 0.5c - 75
Step-by-step explanation:
Profit is = selling price. - cost price
Cost price is the amount the supplies were bought = $75
The cost of c cups at $0.5 per cup will be
0.5 * c = $0.5c
The profit here is thus;
P = 0.5c - 75
Find the measure of angle 1.
a. 95
b. 100
d. 105
Answer:
split
Step-by-step explanation:
I will add two pictures for context for this question. I'll give brainliest
Her budget is $65 a month. To find out how many gigabytes of data she could use if she chose this plan, she writes C(x)=65 and solves for x. What value of x makes this equation true?
Remember the function is C(x)=30x+5.
Answer:
Consider all the info you are given:
The monthly allowance is 2 GB...this is basically how much data is included in the the plan so that the monthly pymt is the same every month. When the GBs used goes pass 2GB...there is a cost to that.
You're given C(x) = 30x + 50, the monthly cost of the plan
'x' is the GB of data used OVER the allowance (2GB.)
They put over in italics to give you a hint to the solution.
(a) C(0.7) is the cost when the data used goes over 2GB by 0.7 GB. C(0.7) = 30(0.7) + 5 = 26
The college student would pay $26 when they use an extra 0.7GBs (pass the allowance.)
(b) This part to the problem wants you to figure out how much the overage, pass the 2GBs, the college student can go and only end up paying $50 (the set budget)
So you the solve for x by setting C(x) = 50
30x + 5 = 50
30x = 50 - 5 = 45
x = 45/30
x = 1.5
Remember x is the overage (the GBs over the allowances), so to stay at budget, the college student can use 3.5 GBs of data (2GBs + 1.5 GBs) only pay $50 that month.
Hope this helps...
HELP ASAP: How far apart are the spider and the fly?(it needs to be written in a equation, then round to the nearest 10 if necessary)
It is a right triangle. The distance is the hypotenuse of the triangle.
Use the Pythagorean theorem:
Distance = sqrt(3^2 + 2^2)
Distance = sqrt( 9 + 4)
Distance = sqrt(13) (exact distance)
As a decimal sqrt(13) = 3.60555
8th grade math homework, I need help
Answer:
c = √18
Step-by-step explanation:
c² = 3² + 3² = 18
so c = √18 = 3√2 ≈ 4.24
Which is the correct simplified version of the expression 32x + 8 - 34x? *
66x + 8
-2x + 8
74X
6x
Answer:
-2x+8
32x+8-34x
32x-34x=-2x
-2x+8
2.67 times .43
show work
what is f (-2) if f (x) = 1/2x?
[tex]f(x) = \dfrac{1}{2x} \\~\\~\\f(-2) = \dfrac{1}{2\cdot(-2)} \\~\\~\\f(-2) = -\dfrac{1}{4} \\~\\~\\f(-2) = -0.25[/tex]
Find the volume of the rectangular prism.
The volume of the rectangular prism is
centimeters cubed.fill in the blank
what are traits that most religions share in common
Answer:
Something that the five major world religions (Christianity, Judaism, Buddhism, Hinduism and Islam) have in common is a sense of community. A sense of community provides group cohesion and identity, as well as a way for rituals and traditions to be passed down from generation to generation.
A plane is beginning to descend when it is 10,000 feet in the air. The straight line distance (hypotenuse) to the airport is 25,000 feet. What is the angle of depression at which the plane began its descent? Round your answer to the nearest degree.
Answer: 35,000
Step-by-step explanation:
(x+a)^2-(x-b)^2+x^2+(a-b)x-ab by (a+b)
Answer:
(a+b)(2x−ab+a−b)+x(a−b)+x²
Step-by-step explanation:
I can't make a good explanation, so here's a graph.
Also, this wouldn't be a proportional relationship because of exponents on the last term.
This is really a parabola.
Anyone who know,s this please help?
The body of a 154-pound person contains approximately 2 x 10-1 milligrams of gold and 6 x 101 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
Answer:
About 32 times
5. A system of equations is below. For what value would
you multiply the first equation to eliminate the x-term?
(y=x+2
3x + 3y = 6
Answer:
We would multiply the first equation by -3 to eliminate the x-term.
Step-by-step explanation:
Given the system of equations
y = x+2 Equation 1
3x+3y = 6 Equation 2
Multiply the Equation 1 by -3
-3y = -3(x+2) ⇒ -3y = -3x-6 ⇒ -3x+3y = 6
Thus, equation 1 becomes
-3x+3y = 6
Now, adding equation 2
-3x+3y = 6
+
3x+3y = 6
________
0x + 6y = 12
6y = 12
y = 2
Therefore, we would multiply the first equation by -3 to eliminate the x-term.
Someone help!
Graph the solution to the inequality on the number line.
h > 75.5
Answer:
DStep-by-step explanation:
hope it helps....... .
The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
h > 75.5
The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.
More about the number line link is given below.
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Please answer the question please. The question is down below.
PLEASE HELP ON ALL OF THEM!!
i WILL MARK BRAINLY
Answer:
on what
Step-by-step explanation:
Answer:
Nothing showed up :/
Step-by-step explanation:
Find the indicated measurement for the pair of similar figures.
Answer:
CAN U PLSS HELP ME ILL GIVE U 60 POINTS IM BEGGING U PLSSS PLSS I REALLY NEED HELP ILL GIVE U 60 POINTS
Step-by-step explanation:
Include a Claim, Evidence, Explanation, and Conclusion for full credit.
Cells were obtained from a patient with a viral infection. The DNA extracted from these cells consisted of two forms: double-stranded human DNA and single-stranded viral DNA. The base composition of these two forms of DNA are shown in the image.
Construct an argument based on evidence to determine which form was the viral DNA and which form was the human DNA.