Answers
Step-by-step explanation:
a. 3x²+10x+8 = (3x+4)(x+2)
b. 4x²+21x-18 = (4x-3)(x+6)
c. 3x²+8x+5 = (3x+5)(x+1)
d. 6x²+5x-4 = (2x-1)(3x+4)
e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)
f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)
g. 6x²-7x-3 = (2x-3)(3x +1)
h. 6x²-43x+72 = (3x-8)(2x-9)
Related Questions
The radius of a circle is 2 meters. What is the area of a sector bounded by a 135 degree arc? Give the exact answer in simplest form
Answers
Answer:
Area of circle bounded by a 135 ° arc is 4.71 m ²
Step-by-step explanation:
Given that :-Radius of circle, r = 2 m
Angle of the circle , θ = 135 °
To Find :-Area of circle bounded by a 135 ° arc.
Solution :-Using Formula
Area of circle = θ/ 360 × π × r ²
substitute the values,
Area of circle = 135 /360 × 3.14 × ( 2 m) ²
solve it
Area = 27 / 72 × 3.14 × 4 m ²
Area = 27 / 18 × 3.14
Area = 1.5 × 3.14
Area = 4.71 m ²
Therefore, Area of circle bounded by a 135 ° arc is 4.71 m ²
Answer:
it's 3/2pi
Step-by-step explanation:
.
Which of the following is a fifth degree binomial?
Answers
Answer:
C)
Step-by-step explanation:
[tex]2xy^{2}-5y^{5}[/tex]
Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5
Please I need help with this!!!!!!!
Answers
Answer:
Step-by-step explanation:
1). Step 4:
[tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]
[tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]
[tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]
Step 5:
[tex]x=\sqrt[3]{(5)^3\times 5}[/tex]
[tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
[tex](3x-1)^{\frac{1}{5}}=2[/tex]
Step 1:
[tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]
Step 2:
[tex](3x-1)=2^5[/tex]
Step 3:
[tex]3x=32+1[/tex]
Step 4:
[tex]x=11[/tex]
4). By substituting [tex]x=11[/tex] in the original equation.
[tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]
[tex]=(2^5)^\frac{1}{5}[/tex]
[tex]=2[/tex]
There is no extraneous solution.
1). Step 4:
x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31
x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a
x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5
Step 5:
x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5
x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
(3x-1)^{\frac{1}{5}}=2(3x−1)51=2
Step 1:
(3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215
Step 2:
(3x-1)=2^5(3x−1)=25
Step 3:
3x=32+13x=32+1
Step 4:
x=11x=11
4). By substituting x=11x=11 in the original equation.
(3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51
=(2^5)^\frac{1}{5}=(25)51
=2=2
There is no extraneous solution.
m (slope) =
b ( y - intercept) =
x - intercept =
Answers
Answer:
Step-by-step explanation:
The line is parallel to the x axis, so its slope is 0
m = 0
the y intercept is -2.5
the line doesn’t intercept the x axis because is parallel to it
The graphs of f(x) and g(x) are shown below.
o o
00
f(x)
4
2
5
21
2
-2 -1
-2
3
-4
g(x)
-6
-8
-12
-147
What are the solutions to the equation f(x) = g(x)?
Answers
a vertical stick is 8 cm high and the length of its shadow is 6 cm find the distance between the top of the stick and it's shadow
Answers
Answer:
10
Step-by-step explanation:
8 and 6 are the numbers you work with
using the formula [tex]a^{2} + b^{2} = c^{2}[/tex]
we get : [tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]
64 + 36 = [tex]c^{2}[/tex]
100 = [tex]c^{2}[/tex]
[tex]\sqrt{100} = \sqrt{c^{2} }[/tex]
10 = c
A right triangle has side lengths d, e, and f as shown below use these lengths to find sinx, cosx, and tanx
Answers
Answer:
sinx= d/f
cosx= e/f
tanx= d/e
Zikri wins a cash prize of one million ringgit. She invests the money into an investment institution that offer
a return of 6% per year. The total amount of Zikris investment after n years is calculated by using the formula
J = P(1 + k)" with p is the initial investment and k is the rate of return per year. Find Zikris total investment
after 15 years.
Answers
Answer: 2,396,558 Ringgit
Step-by-step explanation:
J = P * ( 1 + k)^n
P = initial investment of 1,000,000 Ringgit
k = rate of return of 6% per annum
n = Number of years of investment
J = 1,000,000 * ( 1 + 6%)¹⁵
= 1,000,000 * 2.396558193
= 2,396,558 Ringgit
What is 4-3 written in expanded form?
Answers
Answer:
four minus three
Step-by-step explanation:
your welcome
Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.
Answers
Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.
Step-by-step explanation:
Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.
Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.
Answer: A
Step-by-step explanation:
solve these simultaneous linear equation
3x - 4y = 1
6x + 7y = 13
Answers
9514 1404 393
Answer:
(x, y) = (59/45, 11/15) ≈ (1.311, 0.733)
Step-by-step explanation:
A graphing calculator shows us the solution is not integer values, so we may find it easiest to solve these equations using the "cross-multiplication method."
Writing the equations in general form, we have ...
3x -4y -1 = 0
6x +7y -13 = 0
Then we can form an array of the coefficients, repeating the first column:
[tex]\begin{array}{cccc}3&-4&-1&3\\6&7&-13&6\end{array}[/tex]
Forming differences of cross products involving adjacent pairs of columns gives ...
d1 = (3)(7) -(6)(-4) = 45
d2 = (-4)(-13) -(7)(-1) = 59
d3 = (-1)(6) -(-13)(3) = 33
Then the solutions are found from ...
1/d1 = x/d2 = y/d3
or
x = d2/d1 = 59/45
y = d3/d1 = 33/45 = 11/15
The solution is (x, y) = (59/45, 11/15) ≈ (1.311, 0.733).
_____
Additional comment
This takes longer to explain than to do. One reason we like it is that the number of math operations is slightly smaller than the number of math operations required for substitution or elimination. It is especially nice when the solution is not a pair of integers.
Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?
Answers
Answer:
1/12 of the lasagna was left
Step-by-step explanation:
To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).
Answer:
[tex]\frac{1}{4}[/tex] of the lasagna
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]
4 = 2 × 2
3 = 3
6 = 2 × 3
LCM = 2 × 2 × 3
LCM = 12
4 × 3 × 6 = 72
[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]1-\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
• What score does Tyrone need in the fifth game so that his mean score is 125?
• Explain your reasoning or show all of your work.
Answers
Answer:
He should measure the length of the bowling alley using meters
Step-by-step explanation:
The score does Tyrone need in the fifth game so that his mean score is 125 is 168.
What is an arithmetic mean?
It is defined as the sum of all observations divided by the number of observations.
Given
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
[tex]\frac{120+123+105+109+x}{4+1} =125[/tex]
⇒ [tex]\frac{457+x}{4+1} =125[/tex]
⇒ [tex]\frac{457+x}{5} =125[/tex]
⇒ [tex]{457+x} =125[/tex] × [tex]5[/tex]
⇒ [tex]{457+x} =625[/tex]
⇒ [tex]x =625-457[/tex]
⇒ [tex]x =168[/tex]
Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.
Learn more about mean here
https://brainly.com/question/23706022
#SPJ2
The perimeter of a rectangle is 84 cm. If the length is 29 cm write an equation you can use to answer this question
Answers
Answer:
The perimeter of a rectangle has the general formula P=2L+2W. Since you know P and L, you can plug those values into the formula and solve for W.
Hope this answer is right!!
Answer:
Width: 13
Area: 42
Step-by-step explanation:
A rectangle has equal opposite sides, so if you know one side, you know that the opposite side will be the same. Then you can subtract it from the perimeter, and divide the remaining number in half because it represents the other opposite sides. If you were trying to find the area, do that to find the length and width. 29x13=42, so the area is 42. If you were trying to find the width, that would be 13 because
29+29=58
84-58=26
And 26/2=13
Suppose a publishing company estimates that its monthly cost is
C(x) = 600x2 + 300x and its monthly revenue is
R(x) = -0.423 + 700x2 – 600x + 500, where x is in thousands of
books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?.
Answers
Tim has 5 yellow and 10 blue marbles in a bag. What is
the probability of choosing a yellow marble from the
bag?
Answers
Answer:
1/2 chance
Step-by-step explanation:
5 and 10 can be divided down to 1/2
What is the missing number that will complete the factorization?
Answers
Answer:
I don't know what the answer choices are because this question is used twice But if im guessing correctly you mean the one where the answer choices are 6, 8, 12, and 24. The Correct answer is 6
a2 + 8a + 12 = (a + 2)(a + )
The answer is 6
Step-by-step explanation:
Fill in the blanks on the unit circle.
HELP ASAP
Answers
top right: rad 2/2, rad 2/2
small one on the right: 30
small one on bottom left: 225
bottom left: -1/2, rad 3/2
bottom right: 1/2, -rad 3/2
6,347.2184 to the nearest thousandth
Answers
Answer: 6347.218
Step-by-step explanation:
Answer:6,347.218
Step-by-step explanation:
look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004
Help please help please
Answers
Answer:
12.57 in⠀⠀⠀⠀⠀
Answer:
12.56 inches
Step-by-step explanation:
A= pie x r^2
= 3.14 × 2^2
= 3.14 × 4
= 12.56
HELLPPPP YALLLLLLLLK ASAPPPPP
Answers
4) Let the number be : N
Given : 10% of this number is 25
[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]
[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]
[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]
[tex]\sf{\implies N = 250}[/tex]
Now we need to find 60% of 250
[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]
[tex]\sf{\implies 6 \times 25}[/tex]
[tex]\sf{\implies 150}[/tex]
5) Given : James left the home at 10 : 00 AM
First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.
So, James reached the skate park 10 : 15 AM
Second : They stayed at the skate park for an hour
So, till 11 : 15 AM James and Tom were at skate park
Third : Then they will take a 10 minutes walk over to the Burger bar
So, James and Tom reached the Burger bar at 11 : 25 AM
6) First let us find 75% of 80
[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]
[tex]\sf{\implies 15 \times 4}[/tex]
[tex]\sf{\implies 60}[/tex]
Now let us find 40% of 30
[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]
[tex]\sf{\implies 12}[/tex]
Now, (60 - 12) = 48
Answer: 75% of 80 is 48 greater than 40% of 30
7) Given : Journey to school takes 70 minutes
We know that : 1 hour = 60 minutes
So, 70 minutes = 1 hour + 10 minutes
Given : Boy leaves the home at 0715
Answer: The Boy arrives at 0825
Type the missing number in this sequence: 10, 100, 1,000, 10,000,
Answers
Answer:
10, 100, 1,000, 10,000, 100,000
If you are adding one zero in the end for every number, then 100,000 will be your next number
To get the next number in the sequence, all you need to do is add one 0 to the end of the last digit.
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answers
Answer:
in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right
A) 80/140 is the portion that describes the book readers over all people surveyed
B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.
that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie
C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city
which point is a solution to the inequality shown in this graph
(0, 5)
(3, 2)
(-3, -6)
(5, 0)
Answers
Answer:
(0,5)
Step-by-step explanation:
if the point is graphed in the blue area then it is a solution to the inequality
Note: because the line is dashed points graphed on the line are not solutions
(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.
even though we may have found the answer let's check the rest just to be safe
(3,2) and (-3,-6) are graphed on the line
remember because the line is dashed points that fall on it are not solutions
therefore (3,2) and (-3,-6) are not Solutions
(5,0) when graphed is not in the shaded area and is therefore not a solution
we can conclude that a is the answer
2x/7-3=2
What is the value of x
Answers
Answer:
35/2 or 17.5
Step-by-step explanation:
2x / 7 - 3 = 2
2x / 7 - 3 + 3 = 2 + 3
2x / 7 = 5
(2x /7) x 7 = 5 x 7
2x = 35
x = 35/2 or 17.5
Answer:
[tex]x = \frac{35}{2} [/tex]
Step-by-step explanation:
[tex] \frac{2x}{7} -3=2[/tex]
[tex] \frac{2x}{7} = 2 + 3[/tex]
[tex]\frac{2x}{7} = 5[/tex]
[tex]x = \frac{7}{2} \times 5[/tex]
[tex]x = \frac{35}{2} [/tex]
Decimal Form:
[tex]x = 17.5[/tex]
Mixed Number Form:
[tex]x = 17 \frac{1}{2} [/tex]
Hope it is helpful...help pls i will give brain list to whoever answers first
Answers
Answer:
not a answer
Step-by-step explanation:
try using demos graphing calculator
A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?
Answers
Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
why does reflexive property exist
Answers
Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
Answers
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.
Answers
=====================================
Work Shown:
area = base*height
area = 16*7
area = 112 square cm
----------------
Extra info (optional section):
The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.
Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.
