Answers
[tex]\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)[/tex]
Related Questions
what is (1/4)^2x+3=2^5x+4
find the value of x?
Answers
Answer:
[tex] x = - \frac{10}{9} [/tex]
what is. the solution to this equation: 6r=33
Answers
Answer:
5.5
Step-by-step explanation:
6 x 5.5 = 33
The solution for r is 5.5
Answer:
r = 5.5
Step-by-step explanation:
6r=33
1. divide both sides by 6
6/6=1
33/6= 5.5
2. r=5.5
awarding 4 out of 50 minions a place in a dancing
competition.
solve:
Answers
The combination shows that the number of ways to select 4 out of the 50 minions will be 230300.
How to solve the combination?From the information given, it can be noted that this involves a combination rather than permutation.
In this case, the number of ways to select 4 out of the 50 minions will be:
= 50! / (50-4)!4!
= 230300
Learn more about combinations on:
https://brainly.com/question/1216161
Help me. The questions are attached
Answers
Step-by-step explanation:
16.
x = Xien's age
2 + x/2 = 11
x/2 = 9
x = 18
so, Xien is 18 years old.
17.
4x - 5 = 7
first dividing everything by 4 is not a mistake. I would have done it as second step simply to avoid dealing with the fractions. but it works either way.
so, his way :
4x/4 - 5/4 = 7/4
4x/4 = 12/4
x = 3
my way
4x - 5 = 7
4x = 12
x = 3
can someone explain this pls
brainliest
Answers
For his new room, Darien's grandmother gave him a handmade quilt. The quilt is made up of 16 squares set in 4 rows of 4. The area of each square is 324 in? What are the dimensions of the quilt in inches?
Answers
Answer:
5184 sq ins.
Step-by-step explanation:
There are 16 squares each of area 324,
so total area of the quilt = 324 * 16
= 5184 in^2.
Kara is mixing paint. Each batch has twice as much blue paint as well as yellow paint. Plot points to represent the amount of blue and yellow paint used in three different sized batches.
Answers
(b, y) twice as much blue as yellow
(2, 1)
(4, 2)
(6, 3)
Which equation can be used to find the nth term of the sequence, an? 5, 20, 80, 320, 1280, ...
an=4⋅5n−1
an=1.25⋅4n−1
an=5⋅4n−1
an=4⋅1.25n−1
Answers
Answer:
C.) 5 * 4^n-1
Step-by-step explanation:
Use the given method you use for finding the sequence with the terms.
Also K12 moment.
If it's wrong, please forgive me, I'm in the middle of the test as well.
I checked and I'm 99% sure this is the answer
Hope this helped despite being a little late!
A ten sided die is rolled.
P (3 or 5)
Answers
Answer: 1/5 or 20%
Step by Step Explanation:
Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.
Formula: Number of outcomes divided by Favorable Outcomes
Are the ratios 2:4 and 3:6 equivalent?
Answers
Answer:
2:4 3:6 and 8:2, and 4:1 are equivalent pairs of ratios.
2 : 4 and 3 : 6 are an equivalent pair of ratios.
( to find equivalent ratios just multiply or divide both quantities by the same number. )
Part II: Analysis
5) How many seconds does the roller coaster last?
6) What is the roller coaster's starting height? How many seconds does it take the
roller coaster to reach maximum height?
7) Describe what the roller coaster is doing in the interval 7
8) Use your knowledge of function notation and piecewise functions to determine the
following:
a. f(10) =
i. Explain what this value means in real world context.
b. f(20) =
1. Explain what this value means in real world context.
c. If 16 seconds have passed since the roller coaster started, what is the height
of the roller coaster?
Bonus: When does the roller coaster reach 100 feet above the ground?
Answers
10 divided 20,then times mo 7 to 8
In order to qualify for letter sorting l, applicants are given a speed-reading test. The scores are normally distributed, with a mean of 80 and a standard deviation of 8. If only the top 15% of the applicants are selected, find the score needed to qualify
Answers
Using the normal distribution, it is found that the score needed to qualify is of 88.32.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 80[/tex] and [tex]\sigma = 8[/tex].
The top 15% of the applicants are selected, hence the score needed to qualify is the 85th percentile, which is X when Z = 1.04, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.04 = \frac{X - 80}{8}[/tex]
X - 80 = 1.04(8)
X = 88.32.
The score needed to qualify is of 88.32.
More can be learned about the normal distribution at https://brainly.com/question/24663213
what is 3x-1/5=10 equal
Answers
Answer:
x = 17
Step-by-step explanation:
3x - 1 / 5 = 10
3x - 1 = 5 * 10
3x = 50 + 1
x = 51/ 3
x = 17
The volume of a cylinder is 256pi in3. and the height of the cylinder is 1 in. What is the radius of the cylinder?
Answers
Answer:
9.03
Step-by-step explanation:
the formula is V=pir2h
(pi, radius squared, and height)
How much tax will be paid on an item with a 7.5% tax rate that is $1425.89? Round to the nearest cent and do not include a dollar sign
Answers
Answer:
1,616.00
Step-by-step explanation:
sorry if this is wrong
The tax on the item costs $1425.89 is 106.94175 dollars.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Given that, tax rate =7.5% and the cost of an item = $1425.89.
Here, tax = 7.5% of 1425.89
= 7.5/100 ×1425.89
= 0.075×1425.89
= $106.94175
Therefore, the tax on the item costs $1425.89 is 106.94175 dollars.
To learn more about the tax visit:
brainly.com/question/16423331.
#SPJ2
Match each word to its definition
Answers
All i know is that 1 is the fourth option and 3 is the last option. I would assume 2 is the first option, 4 is the second option, 5 is the fifth option, and 6 is the third option, but be sure to check yourself. I hope this helps!
Can someone explain this step by step? I'm very confused on how to solve it. Thanks!
Answers
Answer:
x = -8
Step-by-step explanation:
I will show each step algebraically. If you need further explanation, feel free to ask questions :)
[tex]\frac{x}{2} +7=3\\[/tex] Rewrite
[tex]\frac{x}{2} =-4[/tex] Subtract 7
[tex]x =-8[/tex] Multiply by reciprocal (2/1)
I hope this helps!
Answer:
X = -8
Step-by-step explanation:
So we will start with subtracting 7 from 3, which is -4.
So now you have x/2 = -4
Now we have to find what divided by 2 equals -4 so, we do 2 x -4, which is -8.
This is how we get our answer, x = -8
25. The sales tax rates 7.25
Part A How much taxis added on an item that costs $56.007
Part B $36.25 in taxis added to the price of an item, what was the original price of the item? pie y pie
Answers
Answer:
A:60.14
B:3,379.95
Step-by-step explanation:
I assume that .007 is supposed to be .07
56.07*1.0725=60.14
B.
36.25 is 1.0725 of ...
3,379.95
36.25 * 0.010725
If a=2, b= -1 and c=1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c
Answers
Answer:
Step-by-step explanation:
A. 2 + -1 - 1^2 = 1 - 1 = 0
B. 2^3 - -1 + 1 = 8 + 1 + 1 = 10.
C. 2 - -1 - 1 = 2 + 1 - 1 = 2.
=2+(-1-1)^2
=1-1
=0
B- a³-b+c2^3-(-1+1)
=8+1+1
= 10
C- a-b-c2-(-1-1)
=2+1-1
=2
A random number, x, is generated, where x is any real number.
(a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.
Show that y = 20 + 8x - x?.
Answers
Step-by-step explanation:
Say that x = 1, since x can be any real number.
From part a -> x +2 = 3
and -> 10-x =9
then multiply the two results to get y -> 3x9 = 27
Now look at y=20+8x-x and plug in the same value for x where x = 1
you get -> y = 20 + 8(1) -(1) which simplifies out to 27. Therefore the equation is proven since they equal the same value.
What is the third quartile of the 8, 9, 12, 14, 15?
Answers
Answer:
14.5
Step-by-step explanation:
Case 2
Q3 =
[tex]( \frac{3}{4} (n + 1 ) - \frac{1}{2} )th[/tex]
and
[tex]( \frac{3}{4} (n + 1) + \frac{1}{2} )th[/tex]
[tex] \frac{3}{4} (5 + 1) - \frac{1}{2} = 4th \: = 14[/tex]
[tex] \frac{3}{4} (5 + 1) + \frac{1}{2} = 5th = 15[/tex]
[tex] \frac{14 + 15}{2} = 14.5[/tex]
Graphing f(x)=(x+2)^2-3 in vertex form
Answers
Answer:
Step-by-step explanation:
This is a parabola shaped like a U.
The minimum value is at (-2, -3).
Find the zeroes:
(x + 2)^2 = 3
Find the zeroes:
x + 2 = +/- √3
x = +/-√3 - 2
x = -0.27, -3.73.
So the graph cuts the x axis at (-0.27, 0) and (-3.73, 0)
when x = -4 , f(x) = 1 and when x = 1, f(x) = 6.
So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2
help please if you can thanks!
Answers
Answer:
The last option 8.5
Step-by-step explanation:
hope it helps
Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate everyday. The cost of the job is in the chart below.
Which of the following equations, where “h” represents hours worked and “p” the amount paid in dollars, represent an hourly pay rate that is Greater than the painter’s hourly rate?
Day 1: 5 hours worked; Paid $300
Day 2: 4 hours worked; Paid $240
Day 3: 6 hours worked; Paid $360
Choose all answers that apply:
A) P=6.5h
B) P=50h
C) P=65h
D) P=70h
Answers
Answer:
a is the answer
Step-by-step explanation:
What is the surface area of the rectangular prism shown below?
A. 348 in2
B. 174 in2
C. 432 in2
D. 336 in2
Answers
The surface area of a rectangular prism with sides 9 inches, 8 inches and 6 inches is 348 inches²
Surface area of a rectangular prismsurface area = 2(lw + lh + wh)
where
l = lengthw = widthh = heightTherefore,
l = 8 inches
w = 6 inches
h = 9 inches
surface area = 2((8 × 6) + (8 × 9) + (6 × 9))
surface area = 2((48) + (72) + (54))
surface area = 2 (174)
surface area = 348 inches²
learn more on surface area here:https://brainly.com/question/3008257
Answer:
its 348, give other person branliest
Step-by-step explanation:
Using positive and negative integers, find four pairs of integers with a sum of 5.
Answers
Answer:
-8, 13
-3, 8
6, -1
10, - 5
Step-by-step explanation:
Expand & simplify
5
(
p
+
5
)
+
6
(
p
+
6
)
Answers
5(p+5) + 6(p+6)
First step: Distribute (PEMDAS --> Parenthesis)
5p + 25 + 6p + 36 Now, combine like terms
11p + 61
Thus, the answer is 11p + 61
[tex]5(p+5)+6(p+6)\\\\=5p+25+6p+36\\\\=11p+61[/tex]
The selling price of the Robertsons family house dropped from $500,000 to $250,000. What was the percent decrease in the value of their home?
( please solve, NOT in proportion please!! )
Answers
Answer:
50%
Step-by-step explanation:
You can literally do it mentally lol
$500,000
- $250,000
$250,000
so by common sense, it's 50%
Hope it helped!
Answer:
50%
Step-by-step explanation:
50% of the value of the house dropped.
So 50% of 500,000.
50 percent *500000 =( 50:100)*500000 =( 50*500000):100 =25000000:100 = 250000this is from gradpoint, please help me y’all :((
Answers
Answer if im not misstaken its no
Step-by-step explanation:
because ur working with fractions they dont = the same thing. lmk if im wrong
Answer:
No, these functions fail to be inverses of each other.
Step-by-step explanation:
We have two functions :
f(x) = 3x + 2g(x) = [tex]\frac{x-2}{3}[/tex]Let's take the function f(x) and take x = 1.
f(1) = 3(1) + 2f(1) = 5 [Keep this in mind]If f(1) is 5, then if g(x) is an inverse function, g(1) should be [tex]\frac{1}{5}[/tex]Let's try the same with g(x).
g(1) = [tex]\frac{1-2}{3}[/tex]g(1) = [tex]-\frac{1}{3}[/tex]Clearly, they are not inverse functions of each other.
Two pens and one eraser cost $35 and three pens and four erasers cost $65. Find the cost of the pencil and eraser separately.
Answers
Answer:
Pencil is $15 and erasers are $5