Answer:
( 3x − 1) ( 5x^2 + 2 )
Step-by-step explanation:
15x^3 − 5x^2 + 6x − 2
= ( 3x − 1) ( 5x^2 + 2 )
Using factorization by grouping, the resultant expression is [tex](5x^{2} +2)(3x-1)[/tex].
What is factorization by grouping?Factorization by grouping means that we need to group the terms with common factors before factoring.
[tex]= 15x^{3} - 5x^{2} + 6x-2\\ =5x^{2} (3x-1)+2(3x-1)\\=(5x^{2} +2)(3x-1)[/tex]
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-7n2 + 5n + 2 = 0
Find the discriminant of each quadratic equation then state the number and type of solutions.
Answer:
Step-by-step explanation:
D=5^2-4*(-7)*2
D=25+56
D=81
two real rational solutions, since 81 is a perfect square
HEY PLEASE I NEED HELP IM OFFERING 30 POINTS
which point is a solution to the given system of inequalities
x+4y>12
3y>x+6
A.(-4,6)
B.(5,2)
C.(0,3)
D.(-2,3)
Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Answer:
(-4, 6)
Step-by-step explanation:
find the inverse of A(r)=15+3r
Answer:
A(r)=15-3r
Step-by-step explanation:
switch the sign of 3r to make it -3r
Solve the formula A= 8/2 for r.
Answer:
The steps are :
[tex]A = \pi {r}^{2} [/tex]
[tex] \frac{A}{\pi} = {r}^{2} [/tex]
[tex]r = \sqrt{ \frac{A}{\pi} } [/tex]
Therefore, the answer is B.
Answer: the answer is B.
t - 10 + t = 40 what is the value of t
Answer:
t = 25
Step-by-step explanation:
t - 10 + t = 40
2t = 40+10
2t = 50
t = 50/2
t = 25
Hope this helps.
Answer:
Step-by-step explanation:
How would you prove that the triangle below is equilateral?
A. Shows all angles to be congruent
B. Show all sides to be congruent
C. Show at least two sides to be congruent
D. Show two sides are of equal measure
Please help me with this I need help
Answer:
B. Show all sides to be congruent
Answer:
B. show all sides are congruent
Step-by-step explanation:
If two-thirds of a number is five-thirds more than the number, what is the number?
Can someone help me with this please
Answer:
63.6
Step-by-step explanation:
[tex]\sqrt{45^{2} + 45^{2}} = \sqrt{4050}[/tex]
plz answer this asap
pls help........................
Answer:
30 in
Step-by-step explanation:
idk how to explain, so yea:)
find the product of -8 (-12)
Answer:
-8(-12) = 96
Step-by-step explanation:
The word product, in mathematical terms, is the answer you get after multiplying something. So, to find the product of -8(-12), you have to multiply. A negative times a negative is equal to a positive, so -8 times -12 is equal to positive 96.
a number t decreased by 2 is at least 7
what are their means and extremes of the following proportion
Answer:
a and d are extremes b and c are meansStep-by-step explanation:
[tex]\frac{a}{b} =\frac{c}{d}[/tex]
another way to write the equality of the two ratios is :
a : b = c : d
as you can see in the equality a : b = c : d
a and d are extremes b and c are meansHow do I find the value of x to the nearest degree?
Answer:
I don't know if it's too advanced for you but you could use the arctangent function.
[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]
Which interval contains a local minimum for the graphed
function?
O [-4,-2.5)
O 1-2, -1]
O [1, 2]
O [2.5, 4]
will mark bianleast plz plz i really need this
The histogram shows the number of books read by people participating in a local book club. Which statement is best supported by this histogram?
Six people read more than 2 books.
Six people read between 6 and 8 books.
Most people read 3–5 books.
Three people read zero books.
Answer:
Six people read more than 2 books.
Step-by-step explanation:
Hope that helps
Vanessa has 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.
Answer:
A) 24*m + 40 ≤ 256
B) She could leave the house running for at most 9 minutes
Step-by-step explanation:
The missing questions are:
Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.
Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.
A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:
24*m + 40 ≤ 256
B) Solving the previous equation:
24*m ≤ 256 - 40
m ≤ 216/24
m ≤ 9
Insert a digit to make numbers that are divisible by 24 if it is possible:
38__36
Answer:
Step-by-step explanation:
24=8×3
sum of digits is divisible by 3
and last three digits are divisible by 8.
3+8+3+6=20
if we add 1 then sum=21 which is divisible by 3,also 136 is divisible by 8
so 38136 is divisible by 24.
other number is 38736
What is 3lna+lnb−lnc written as a single logarithm?
Answer: here's the answer
Easy way to get points: What is 1+2+3+4+5+6+7+8+9+10?
Answer:55
Step-by-step explanation:addition
Find the volume. :D (MARKING BRAINLIEST)
Answer:
720 cubic units
Step-by-step explanation:
Answer:
360 cubic units
Step-by-step explanation:
volume of prism = area of base * height of prism
The base is a triangle with base = 6 ad height = 8
area of triangle = bh/2
V = bh/2 * height of prism
V = 6 * 8/2 * 15
V = 360 cubic units
what is the area of this triangle
Answer:
Probably b or e
Step-by-step explanation:
this took me a while to answer this.
Find the value of y
mZ1 = 2y + 8
Answer:
y=4
Step-by-step explanation:
I need help
A.4
B.1/4
C.-4
D.-1/4
Answer:
The answer is C/-4.
Step-by-step explanation:
Mark me brainiiest.
Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account after 10 years? Express your answer rounded to the nearest cent.
Answer:
A = $ 34,162.89
Step-by-step explanation:
A = $ 34,162.89
A = P + I where
P (principal) = $ 20,000.00
I (interest) = $ 14,162.89
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Answer:
34,162.89
Step-by-step explanation:
Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2
Answer:
Step-by-step explanation:
Statements Reasons
1). M is the midpoint of segment AB 1). Given
B is the midpoint of segment MD
2). AM = MB and MB = BD 2). Definition of midpoint
3). MD = MB + BD 3). Segment Addition Postulate
4). MD = MB + MB 4). Substitution property of of Equality
5). MD = 2MB 5). Simplify
Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB
Determine which equation has the same solutions as the equation below.
4x^2 + 32x − 28 = 0
A.) (x + 4)^2 = 23
B.) 4(x + 4)^2 = 36
C.) 4(x + 8)^2 = 28
D.) (x + 8)^2 = 57
The answer is A.) (x + 4)^2 = 23
Proof that I am correct
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
A. 3 Gallons
B. 20 Gallons
C. 6 Gallons
D. 1 Gallon
A. 3 Gallons
Step-by-step explanation:
1/3÷1/9
1/3÷1/9=1/3 x 9/1
(Then Multiply)
1x9/3x1= 9/3= 3
3 Gallons of paint
3 Galoons of paint is needed to pain the total gate.
What is unit rate?Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.
Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,
Since,
1/3 gallons of paint is = 1/9 part of the gate,
Therefore,
1 gate = 1/3 x 9 = 3
Hence 3 Galoons of paint is needed to pain the total gate.
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(01.01 LC)
Evaluate the expression
5/7 - 4)2 + 3 + 11.
Answer:
Step-by-step explanation:
[tex](\frac{5}{7}-4)2+3+11=(\frac{5}{7}-\frac{4*7}{7})2+3+11\\\\=(\frac{5}{7}-\frac{28}{7})2+3+11\\\\=(\frac{-23}{7})2+3+11\\\\=\frac{-46}{7}+3+11\\\\=\frac{-46}{7}+14\\\\=\frac{-46}{7}+\frac{14*7}{1*7}\\\\=\frac{-46}{7}+\frac{98}{7}\\\\=\frac{-46+98}{7}\\\\=\frac{52}{7}\\\\=7\frac{3}{7}[/tex]
If BCDE is congruent to OPQR then BE is congruent to _____
Answer:
If BCDE is congruent to OPQR then BE is congruent to RO
