Answer:
Step-by-step explanation:
x^2(3x - 7) + 2(3x - 7)
(x^2 + 2)(3x - 7)
[tex]\huge\text{Hey there!}[/tex]
[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]
[tex]\bold{Step-by-step\downarrow}[/tex]
[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]
[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]
[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]
[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]
[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]
[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
12+22+32+...+102 =?
Answer:
750 is the answer. Hope it helps!
HELP ME PLEASE THIS IS LOCKING ME OUT IN 5 MINUTES
Answer:
Your answer is A
Step-by-step explanation:
Is 16:14 equivalent to 64:60
Answer:
no
Step-by-step explanation:
64/16 = 4
60/14 = 4.28...
) Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question.
i need help plzzz an could you show your work thanks love
Answer:
how to make change for 50 cent.
Step-by-step explanation:
1. 3 dimes and 4 nickels
3 x 10 = 30. 4 x 5 = 20.
30 + 20 = 50
2. 2 quarters
25 + 25 = 50
3. 1 quarter and 2 dimes and 1 nickel
25 + 20 + 5 = 50
4. 5 nickels and 1 quarter
5 + 5 + 5 + 5 +5 + 25
Which graph represents the parametric equations x = 1 – t2 and y = 2t, where 0 ≤ t ≤ 5?
ANSWER: A
After plotting the above equation on the coordinate plane, we can see the graph of the function.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
We have two parametric equations:
x = 1 – t² and
y = 2t
t = y/2 and
0 ≤ t² ≤ 5
1 ≤ 1 - t²≤ 4
1 ≤ x≤ 4
Plug the above value in x = 1 – t²
x = 1- (y/2)²
x = 1 - y²/4
4x = 4 - y²
y² = 4(1 - x)
Thus, after plotting the above equation on the coordinate plane, we can see the graph of the function.
Learn more about the parametric function here:
brainly.com/question/10271163
#SPJ2
A cylinder has a height h, and a radius (3h-2)
The area of the base is pi (3h-2)^2
The volume of the clinder is V= pi(3h-2)^2h
10. Multiply the polynomials to simplify the expression for the volume:
V=pi(3h-2)^2h by
Answer:
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
Step-by-step explanation:
Given
Shape: Cylinder
[tex]Radius = 3h - 2[/tex]
[tex]Height = h[/tex]
[tex]Base\ Area = \pi (3h - 2)^2[/tex]
Required
Simplify the volume
The volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Substitute values for Base Area and Height
[tex]V= \pi(3h-2)^2*h[/tex]
Expand the bracket
[tex]V= \pi(3h-2)(3h-2)*h[/tex]
Open brackets
[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]
[tex]V= \pi (9h^2 -12h + 4) *h[/tex]
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
what is the perimeter of this tile 6in 2in
Answer:
16in
Step-by-step explanation:
Most tiles a quadrilaterals meaning they have four sides, if it is 6in by 2 in, that means tou multiply both by two since there are two of each side length.
6 times 2 is 12
2 times 2 is 4
4 + 12= 16
Answer:
16 in
Step-by-step explanation:
Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77 and total payback of $4,596.96
Option B: 3 years at 4.7% interest with monthly payments of $125.31 and total payback of $4, 511.16
Which loan should Wilbert choose and how much will Wilbert save with that loan?
Answer:
85.8
Step-by-step explains
4596.96-4200=396.96
4511.16--4200=
396.96-311.16=85.8
so 85.8 and b
what is the solution to the equation y=2x+5
Answer:
x = -5/2
Step-by-step explanation:
y= 0
I dont know but i believe this is it.
Answer:
2x-y=-5
Step-by-step explanation:
y=2x+5
-2x+y=5
-(-2x+y=5)
answer: 2x-y=-5
what is the slope of (-20,-3), (19,-15)
Answer:
m= - 4/13
Step-by-step explanation:
Answer:
-4/13
Step-by-step explanation:
Hopefully this helps :)
which table shows a proportional relationship between x and y ?
Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
[tex]k = \frac{y}{x}[/tex]
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{4}{2}[/tex]
[tex]k = 2[/tex]
x = 4, y = 9
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{9}{4}[/tex]
[tex]k = 2.25[/tex]
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{4}{3}[/tex]
[tex]k = 1.33[/tex]
x = 9, y = 16
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{16}{9}[/tex]
[tex]k = 1.78[/tex]
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{12}{4}[/tex]
[tex]k = 3[/tex]
x = 5, y = 15
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{15}{5}[/tex]
[tex]k = 3[/tex]
x = 6, y = 18
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{18}{6}[/tex]
[tex]k = 3[/tex]
This shows a proportional relationship because all values of k are the same for this table
Write the numerical co-efficient of each term of the following expressions:
A) − xyz – 3oy + 6yz +4
Answer:
Uncertain if the second term is 30 and not 3o. IF 30, then the coefficients are
-1, 30 and 6.
Step-by-step explanation:
Coefficients are numbers ahead of the variables (letters).
The number 4 is called a constant. A constant is not a coefficient.
The coefficient (number ahead of the letters) of -xyz is -1.
Hope this helps.
The tape diagram a way to model 5/8x11
Answer:
55/8
Step-by-step explanation:
here u gooo good luck
Fill in the table using this function rule.
y=-2x +4
Answer
i think this is what you mean
Step-by-step explanation:
x y
2 0
1 2
0 4
-1 6
-2 8
How do you Estimate the quotient of 1246 divided by 4
Answer:
See inside.
Step-by-step explanation:
Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.
what are the next 3 terms in this:O,T,T,F,F
Answer:
Step-by-step explanation:
S, S, E.
Come on, do I have to spell it out for you? :)
What is the factors for x squared plus 5x - 6
Answer:
=[tex](x-1)(x+6)[/tex]
Step-by-step explanation:
Answer:
[tex]x^{2} +5x-6=(x-1)(x+6)[/tex]
Step-by-step explanation:
a classroom is 30 feet wide the ceiling is 10 feet above the floor what is the volume
Answer:
300 sqft
Step-by-step explanation:
30 times ten is 300 and the measure is feet squared
Answer:
9000 ft 3
Step-by-step explanation:
Find c. Round to the nearest tenth.
Answer:
Here,
150+10=180
162-180=18
Answer is 18°
Step-by-step explanation:
So the round of nearest tenth is 18°
Hope it will help have a great day at school. ^_^
solve and recieve brain list I took a better picture
Solve the proportion: 9 is to 16 as M is to 32.
(please show working out!)
Answer:
Step-by-step explanation:
9 : 16 :: M : 32
Means of extremes = means of means
= 9 x 32 = 16 x M
= 288 = 16M
288/16 = M
18 = M
Worth 20 points
Please answer these all in a fraction form! :) <3 ily all have a AMAZING day.
1. 1/8 ÷ 3/4 = ?
2. 3/5 ÷ 3/2 = ?
3. 4/1 ÷ 2/3 = ?
4.9/4 ÷ 6/5 = ?
5.22/4 ÷ 2/5 = ?
Answer:
1. 1/8 ÷ 3/4 = 1/6
2. 3/5 ÷ 3/2 = 2/5
3. 4/1 ÷ 2/3 = 6
4.9/4 ÷ 6/5 = 15/8
5.22/4 ÷ 2/5 = 261/80
Step-by-step explanation:
Hope this Helped
Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ?
Answer:
$2000Step-by-step explanation:
Let the monthly rent be x.
Then we have:
x + 0.5x + 0.4x = 38001.9x = 3800x = 3800/1.9x = 2000Monthly rent is $2000
Answer:
the answer to your question is $2000
help! is it e? I’ll give u Brainly
Answer:
B
Step-by-step explanation:
If you look at 3 on the X-axis and go down 4 then you will get point B as your answer.
Answer:
E is the correct answer because A is (-4,-3), B is (-4,3), C is (5,1), D is (4,-3), E is (3,-4), and F is (-2,-4)
What is the missing side length?
Answer:
the answer is 3 miles
Step-by-step explanation:
1 +2 = 3 so 3
What is the discriminate of y=x^2-8x+2
Answer:
56
Step-by-step explanation: Use the values of a, b, and c to find the discriminant.
Answer:
[tex]\Delta =56[/tex]
Step-by-step explanation:
We are given:
[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]
So, a = 1, b = -8, and c = 2.
The discriminant (symbolized by Δ) is given by:
[tex]\Delta =b^2-4ac[/tex]
So, our discriminant in this case will be:
[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]
Since our discriminant is a positive value, our equation has two real roots.
what is :
2x + 10 = ?
Answer:
x = -5
Step-by-step explanation:
2x = -10
x = -10/2
x = -5
The surface covered by a rectangular field is 375 square yards. The width of the field is 10 yards longer than its length. Using factors, determine the length and the width of the field
Answer:
L= 15
W= 25
Step-by-step explanation:
w(w-10) =375
w^2-10w-375=0
w=25 or -15
Length=25-10 =15
The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let L and W be the length and width of the rectangle.
The area of the rectangular field is 375 square yards
W = 10 + L
As we know,
Area = LW
375 = L(10 + L)
375 = 10L + L²
L²+ 10L - 375 = 0
After solving the above quadratic equation:
L = 15 yards
L = -25 (length cannot be negative)
Plug L in the equation W = 10 + L to get the width of the rectangular field
W = 10 + 15
W = 25 yards
Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
There are some apples and 8 pears in a basket. Each of them is either green or yellow. There are three more apples than the total number of green fruit. There are 6 yellow pears. How many yellow apples are there in the basket?
Answer:
5 yellow apples
Step-by-step explanation:
Pears = p ; apples = a
p = 8 ; let Number of apples = x
All fruits are either green or yellow
Total green fruits = x - 3
Number of yellow pears = 6
Green pears = total pears - yellow pears
Green pears = 8 - 6
Green pears = 2
Green fruits = green pears + green apples
x - 3 = 2 + green apples
Green apples = x - 3 - 2
Green apples = x - 5
Apples = green apples + yellow apples
Yellow apples = apples - green apples
Yellow apples = x - (x - 5)
Yellow apples = x - x + 5
Yellow apples = 5
Hence, there are 5 yellow apples
There are 5 yellow apples in the basket.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:
There are some apples and 8 pears in a basket:
c + d = 8
There are three more apples than the total number of green fruit:
a + b = a + c + 3
b = c + 3
c = b - 3
There are 6 yellow pears, d = 6. Since:
c + d = 8, hence:
b - 3 + 6 = 8
b = 5
There are 5 yellow apples in the basket.
Find out more on equation at: https://brainly.com/question/2972832
PLZ ANSWER THESE QUESTIONS IF YOU KNOW ALGEBRA PLZ PLZ PLZ PLZZZZZZZZZZZZ I WILL GIVE BRAINLY AND ALL MY POINTS PLZZ HELP ME
I AM A YOU TUBER I WILL CHEAT IF I HAVE TO
Answer:
Algebra (from Arabic: الجبر al-jabr, meaning "reunion of broken parts"[1] and "bonesetting"[2]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols;[3] it is a unifying thread of almost all of mathematics.[4] It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.
Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[5] For example, in {\displaystyle x+2=5}x+2=5 the letter {\displaystyle x}x is an unknown, but applying additive inverses can reveal its value: {\displaystyle x=3}x=3. In E = mc2, the letters {\displaystyle E}E and {\displaystyle m}m are variables, and the letter {\displaystyle c}c is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.
The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.
A mathematician who does research in algebra is called an algebraist.