Answer:
[tex]=-\left(4x+1\right)\left(2x^2+3\right)[/tex]
Step-by-step explanation:
[tex]-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)[/tex]
[tex]\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)[/tex]
Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?
Answer:
$ 809.78
Step-by-step explanation:
Given that
F = future value = $50,000
Interest rate = r = 1.45% = 0.0145
Number of period per year = 12months
Time expressed in years = 5years
The present value of a periodic deposit
P =( F ×r/n)/{ (1+r/n)^nt} -1
Substituting the values into the above formula
P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1
= 50000×0.001208/(1+0.0012)^60}-1
= 60.4/1.0012)^60}-1
60.416/1.074608-1
60.4/0.07460
= $ 809.779
His monthly deposit will be $ 809.78
Can someone plz help me solved this problem plz! I need help ASAP! Plz help me solved this problem
Answer:
1) 3.5
2) 0.875
5)7y -14
Step-by-step explanation:
1)7y= 0+2
Y= 2/7=
3.5
2)7y= 6+2=8
Y= 8/7=0.875
5) I just multiplied outside value which is7 with the value inside the bracket
I just solve the one I know.
HURRRYYYYYYY
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 4.
A).1/4
B).1/3
C).1/2
D).2/3
Answer:
(C) ¹/₂
Step-by-step explanation:
Given;
A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6
The probability of rolling a number less than 4 = 3, 2, 1
The probability of rolling 3, P(3) = ¹/₆
The probability of rolling 2, P(2) = ¹/₆
The probability of rolling 1, P(1) = ¹/₆
Probability of rolling a number less than = P(3) or P(2) or P(1)
= ¹/₆ + ¹/₆ + ¹/₆
= ³/₆
= ¹/₂
Therefore, the probability of rolling a number less than 4 is ¹/₂
Option (C) ¹/₂
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
w = -5x^2+20x+160/x
Step-by-step explanation:
Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.
I may be wrong, it's been a while since I solved these types
What is the value of this discriminant?
Answer:
The answer is A.
Step-by-step explanation:
The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :
D = b² - 4ac
D = (-4)² - 4(1)(4)
= 16 - 16
= 0
Solve y = 7x + 8 if the domain is {-4, -2, 0, 2}.
Answer:
y= -29 if domain is -4
y=-6 is domain is -2
y=8 if domain is 0
y=22 if domain is 2
Step-by-step explanation:
Urgent! Please help fast! Estimate using mental math: 903.6 ÷ 29.1. Show how you would estimate mentally, then show your estimated answer.
Answer:
31
Step-by-step explanation:
I would use my fingers mostly.
But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.
903.6 divided by 29.1
Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.
I hope this helps. I'm sorry if you get this wrong.
Answer:
30
Step-by-step explanation:
Round 903.6 to 900 and 29.1 to 30
So 900/30
= 30
This would be my estimated answer
Also 30^2
= 900
Which equation is equivalent to
(1/3)^x= 27^X+2
Answer:
x=-1½
Step-by-step explanation:
1/3^x=27^x+2
3^-x=3^3x+6
-x=3x+6
-6=3x+x
-6=4x
x=-1½
help me
Factor: 5x2 – 15x – 20.
(a) 5(x-4)(x+1),
(b) -2(x-4)(x+5),
(c) -5(x+4)(x-1),
(d) 5(x+4)(x+1).
Answer:
C
Step-by-step explanation:
5×2=10
10-15x-20
-10-15x
5(-2-3x), or -5(x+4)(x-1) solve it and find your answer
Math question do not guess
What are the x-intercepts of y=4x^2-16
Answer:
(-2,0) and (2,0)
Step-by-step explanation:
To find the x intercepts of a graph, you need to set the y to 0. This is because a graph only intersects the x axis at the line y=0. Hence:
[tex]4x^2-16=0[/tex]
Factor:
[tex]4(x^2-4)=0 \\\\4(x-2)(x+2)=0 \\\\x=2,-2[/tex]
The x intercepts are at (-2,0) and (2,0). Hope this helps!
Answer:
The x intercepts are -2 and 2
Step-by-step explanation:
y=4x^2-16
Set equal to zero to find the x intercepts
0 =4x^2-16
Factor
0 = 4(x^2 -4)
Factor again, noticing the difference of squares ( a^2 - b^2) = (a-b)(a+b)
0 = 4(x-2) (x+2)
Using the zero product property
0 = x-2 0 = x+2
x =2 x = -2
The x intercepts are -2 and 2
A small cube is cut off from a larger cube as shown .What is the number of FACES and EDGES in the cut cube as shown?
plz answer fast need it urgently
Answer:
All cubes, regardless of size, will have 6 faces and 12 edges.
Helen has only 10 questions left to do of her Math homework. She
has 120 minutes before it's her bedtime and it takes 5 minutes to do
each Math question. Describe the pattern and determine how much
time she will have available after her homework is complete.
A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.
B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.
C)Start at 120 and subtract 5 each time. She will have 75 minutes of free time after she finishes her Math questions.
D) Start at 120 and subtract 5 each time. She will not have enough time to complete all of her math questions.
a) Find the square number
7
12
20
25
27
b) Find the cube number
7
12
20
25
27
Answer:
a) 25
5² = 5×5 = 25
b) 27
3³ = 3×3×3 = 27
(a) The square number is 25.
(b) The cube number is 27.
The following information should be considered:
The square number is the number that should be multiplied by itself.While on the other hand, the cube number is the number that should be multiplied it by 3 times itself.So based on the given options, we can conclude that
(a) The square number is 25.
(b) The cube number is 27.
Learn more: brainly.com/question/17429689
Help please!
How does the function f(x)=x^2−4x−21 illustrate the Fundamental Theorem of Algebra?
Fill in the blanks. (Hint: Your answers are numbers.)
The degree of f(x) is _____. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly _____ zeros. Those zeros are 7 and _____.
f(x)=x²−4x−21
The degree is the biggest power of x. That's a polynomial of degree 2, also called a quadratic function. Let's find its zeros.
0 = x²−4x−21 = (x - 7)(x+3)
x=7 or x=-3
The fundamental theorem guarantees every non-constant polynomial with complex coefficients has a complex zero, let's call it r. If we divide the polynomial by x-r there won't be any remainder and we'll get a new polynomial, one degree less. The fundamental theorem again applies and (if it's not a constant polynomial) we are assured of another zero, s. We divide by x-s and get a new polynomial of degree one less. We repeat all this until we get a constant polynomial (degree zero). So we get a zero for every degree. They're not necessarily all different.
Answer:
The degree of f(x) is 2. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly 2 zeros. Those zeros are 7 and -3.
Solve the equation.
y + 6 = –3y + 26
Answer: y=5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
y+6=-3y+26
Taking like terms to both side, y+3y=26-6
4y=20(Dividing both sides by 4)
y=5
What is 3x^2-10x-8 fully factored?
Answer:7678
Step-by-step explanation:
Answer:
Step-by-step explanation:
The diameter of a circle is 222 units. What is the radius of the circle?
Answer:
111 units
Step-by-step explanation:
the diameter is double the radius so divide 222 by 2 to get 111 units.
What is the volume of box B?
Answer:
Answer: The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..
Step-by-step explanation:
is this the answer you were looking for
Hhhhhhheeeeelllllpppppppp
Answer:
tan 41 = 0.87
sin 63 = 0.89
cos 14 = 0.97
Step-by-step explanation:
No explanation since the question states to use the ALEKS calculator so you just make sure the calculator is in degrees then simply press tan 41 etc.
HELP PLEASE I DON'T UNDERSTAND THIS AT ALL
Answer:
PV/nR = T
Step-by-step explanation:
PV = nRT
Divide each side by nR
PV/nR = nRT/ nR
PV/nR = T
Answer:
So we know that P*V = n*R*T im guessing
So that means that we divide it by how much we are multiplying by T aka n*R
so PV/nR = T
I am guessing that this is no physics fomula or math formula with things I dont know but if these are just random vars this is the answer.
Step-by-step explanation:
if a number of 721 students enrolled to a school & the number increases by 7%, by the next year how many students will there be?
Answer:
771
Step-by-step explanation:
Answer:
771
Step-by-step explanation:
Find the angle A if angle B is 60 degrees and angle A and angle B are complementary
Answer:
30 degrees
Step-by-step explanation:
Complimentary = 90 degrees
90 - 60 = 30 degrees
Can u please answer this question in the picture below or above I guess
Answer: B. 72ᴼ alternate exterior angles theorem
Step-by-step explanation:
Alternate exterior angles because they’re angles on the outside of the transversal.
Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ
Which statement best explains why pollution stays within the Earth's atmosphere? *
Answer:
Because of cars, and factories making it everyday.
Step-by-step explanation:
Yang–Mills existence and mass gap. Solve that ur a genius
Answer: DescriptionIn mathematical physics, the Yang–Mills existence and mass gap problem is an unsolved problem and one of the seven Millennium Prize Problems defined by the Clay Mathematics Institute, which has offered a prize of US$1,000,000 for its solution. The problem is phrased as follows: Yang–Mills Existence and Mass Gap.
Please help me I’m stuck.
Answer:
Step-by-step explanation:
We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.
[tex]A=\frac{1}{2}absinC[/tex] , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,
a = 17, b = 15 and C = 35 degrees. Filling in:
[tex]A=\frac{1}{2}(17)(15)sin35[/tex]
Do that on your calculator in degree mode and you'll find the area to be
73.1 meters squared
What is the volume in cubic units of a cube with a side length of 1/2 unit?
Answer:
1/8
Step-by-step explanation:
[tex]\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}[/tex]
the two-way table below shows the intended careers among the incoming class of first-year college students, divided by gender. If a student is chosen and random, what is the probability of the student is female who intends to be a research scientist?
Answer:
c. 2.2%
Step-by-step explanation:
The total number of all students in all fields, male and female is 4663.
There are 103 female research scientists.
p(female scientist) = 103/4663 = 0.022 = 2.2%
The length of a rectangle is 2 units greater than the width. The area of the rectangle is 24 square units. What is it's width?
Answer:
4 units
Step-by-step explanation:
Length would be 6 units and width would be 4 units
6*4 = 24 proving my claim to be true
Answer:
Width = 4 units
Step-by-step explanation:
Let us pose the width as w, and the length as l. If the length is 2 units greater than the width, consider the following;
[tex]l = 2 + w,\\\\w = width,\\l = length[/tex]
The area of this rectangle can be determined through length * width / l * w, and is given to be 24 square units. We can say l = 2 + w instead, solving for the width ( w );
[tex]( 2 + w ) * w = 24,\\2w+w^2=24,\\\left(w-4\right)\left(w+6\right)=0,\\w = 4, w = - 6\\\\Solution - width = 4 units[/tex]
As the width couldn't be a negative value, we had to take the positive of 4 and - 6, which was 4 units.
