Answers
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]
Related Questions
The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?
Answers
Answer:
Step-by-step explanation:
Your answer
816 dollars
Mark it as Brainlist answer. Follow me.
3x2/5=6/5=
Please I need help with this problem
Answers
Answer:
1.2
Step-by-step explanation:
[tex]\frac{3x2}{5}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2
Answer: 6/5
Step-by-step explanation:
BCD is a straight line.
ABC is a triangle.
Show that triangle ABC is an isosceles triangle.
Give a reason for each stage of your working.
Answers
Using the exterior angle is equal to the interior angles property, angle A is equal to 117 - 54 (which is 63).
Because these two angles are equal to eachother, the triangle is isosceles.
Hope this helps and please mark me brainliest
Yes, Triangle ΔABC is an isosceles triangle.
What are the properties of Triangle?The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.We can prove that triangle ABC is an isosceles triangle using the fact that BCD is a straight line, and the angles of a triangle add up to 180 degrees.
First, we note that the angles of triangle ABC add up to 180 degrees:
∠ABC + ∠ACB + ∠BAC = 180 degrees
Since ∠ACD and ∠ACB are adjacent angles, we know that:
∠ACD + ∠ACB = 180 degrees
Substituting the value of ∠ACD (117 degrees) into this equation gives:
117 degrees + ∠ACB = 180 degrees
Simplifying, we get:
∠ACB = 63 degrees
Now we can rewrite the equation for the sum of the angles of triangle ABC as:
∠ABC + 63 degrees + ∠BAC = 180 degrees
Substituting the value of ∠ABC (54 degrees) and simplifying, we get:
∠BAC = 63 degrees
Since ∠ABC = ∠BAC, we have shown that triangle ABC is an isosceles triangle.
Reasoning:
The angles of a triangle add up to 180 degrees.Adjacent angles on a straight line add up to 180 degrees.Substituting the value of ∠ACD into the equation for adjacent angles on a straight line gives ∠ACB = 63 degrees.Substituting the value of ∠ABC and simplifying the equation for the sum of the angles of triangle ABC gives ∠BAC = 63 degrees.Since ∠ABC = ∠BAC, triangle ABC is an isosceles triangle.Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
Debra is buying prizes for a game at her school's fundraiser. The game has three levels of prizes, and she has already bought the second and third prizes. She wants the first prize to be nice enough to attract people to the game. The game's manufacturer has supplied her with the probabilities of winning first, second, and third prizes. Tickets cost $3 each, and she wants the school to profit an average of $1 per ticket. How much should she spend on each first prize
Answers
Answer:
$9.19
Step-by-step explanation:
We are given that
Cost of each ticket=$3
Average profit per ticket=$1
Expect gain for ticket purchaser must be -$1
Let x be the cost of first prize
Probability of first prize=0.15
Probability of second prize=0.30
Probability of third prize=0.45
Cost of second prize=$1.15
Cost of third prize=$0.74
Total probability=0.15+0.30+0.45=0.9
Probability of winning =0.9
Probability of losing=1-0.9=0.1
According to question
[tex]x(0.15)+0.30(1.15)+0.74(0.45)-3(0.1)=-1[/tex]
[tex]0.15x+0.378=-1[/tex]
[tex]0.15x=-1-0.378[/tex]
[tex]0.15x=-1.378[/tex]
[tex]x=-\frac{1.378}{0.15}=-9.19[/tex]
Hence, she spend money on each first prize=$9.19
Find an equivalent expression -2(6d-1) + 2(d-4)
PLSSSSS I need help
The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4
thankyouuu
Answers
Answer:
3 . - 10d - 6
Step-by-step explanation:
-2(6d-1) + 2(d-4)
= - 12d + 2 + 2d - 8
= - 10d - 6
Hope it will help :)❤
how many solutions does the problem c*r*(a+f+t)=21 have if different letters represent different digits
Answers
Step-by-step explanation:
Factors of 21 are 1, 3, 7 and 21.
a + f + t cannot be 1 or 3 as it cannot be written as a sum of 3 distinct digits, so it is 7.
The smallest 3 remaining digits are 2, 5 and 6 which add to 13.
So there are no solutions.
Answer: 12
Step-by-step explanation:
21 = 21 x1 3x7
=1x3 expand over3= 12
I don’t know it help!
Answers
Answer: The answer is (4, 600)
Step-by-step explanation:
If anyone understands this pls helpp me
Answers
Lets say they have 20 each
95% of 20 is 19
19/20 of 20 is 19
0.9 of 20 is 18
So Lopez and Foster
Answer: D - Mr. Lopez and Mrs. Foster
Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. (a) If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations
Answers
Answer:
0.04
Step-by-step explanation:
We are given that
The probability that the alumnus did not provide response=5%
The probability that the alumnus did not provide response=[tex]\frac{5}{100}=0.05[/tex]
The probability that the alumnus would say their experience fell short of expectations=26%=0.26
The probability that the alumnus would say their experience met expectations=65%=0.65
We have to find the probability that the alumnus would say their experience surpassed expectations.
We know that
Sum of all probabilities =1
Using the property
The probability that the alumnus would say their experience surpassed expectations=1-(0.05+0.26+0.65)
The probability that the alumnus would say their experience surpassed expectation=0.04
State the hypothesis and claim:
The expense of moving the storage yard for the consolidated Package Delivery Service is justified only if it can be shown that the daily average travel distance is less than 214 mi. In 12 trial runs the average distance was 198 mi with a standard deviation of 42 mi At a = .01 test the claim that the average daily travel distance is less than 214 mi.
the claim is _____. H0: ___ H1: ____
Answers
Answer:
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 12
The mean of the Population = 214 miles
The mean of the sample = 198 miles
The standard deviation of the sample = 42 miles
Level of significance = 0.01
Step(ii):-
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{198 -214}{\frac{42}{\sqrt{12} } }[/tex]
|t| = |- 1.319| = 1.319
Degrees of freedom = n-1 = 12 -1 =11
critical value [tex]t_{(0.005 , 11)} = 3.4966[/tex]
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
Which expression is equivalent to
3x + 2(4y + x)?
Hurry please, thanks!
Answers
Answer:
A.
Step-by-step explanation:
Mrs law bought 1/2 of a cake. She cut it into 4 equal pieces. What fraction of the whole cake is each piece. A. 1/4. B. 1/2. C. 2/3. D. 1/8
Answers
Answer:
d
Step-by-step explanation:
Answer:
It would be d since its 1/2 and there asking for the whole cake
What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?
Answers
Answer:
59049
Step-by-step explanation:
I calculated it and got 59049
Help me with this math please
Answers
Answer:
Step-by-step explanation:
2
the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot K, the stick number of K, denoted by stick (K), is the smallest number of edges of a polygonal path equivalent to K.
Given the function f(x) = [tex]\frac{|x|}{x}[/tex] , find [tex]\lim_{x \to \00^-} f(x) and \lim_{x \to \00^+} f(x) and \lim_{x \to \00} f(x)[/tex]
Answers
Answer:
[tex]\displaystyle \lim_{x \to 0^-} f(x) = -1 \\ \lim_{x \to 0^+} f(x) = 1 \\ \lim_{x \to 0} f(x) = DNE[/tex]
General Formulas and Concepts:
Algebra I
Graphing FunctionsFunction NotationCalculus
Limits
Evaluating Limits GraphicallyIf [tex]\displaystyle \lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex], then [tex]\displaystyle \lim_{x \to a} f(x)[/tex] existsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{|x|}{x}[/tex]
Step 2: Graph/Evaluate
Graph the function so we can evaluate the given limits. See attachment.
We see from the function that when we approach 0 from the left, we will get a -1.
∴ [tex]\displaystyle \lim_{x \to 0^-} f(x) = -1[/tex]
We see from the function that when we approach 0 from the right, we will get a 1.
∴ [tex]\displaystyle \lim_{x \to 0^+} f(x) = 1[/tex]
Since the limit from the left does not equal the limit from the right, the limit as x approaches 0 of f(x) does not exist (DNE).
6 is 30% of what number
Answers
Answer:
1.8
Step-by-step explanation:
Answer:
6 is 30 percent of 20 STEP 1 6 = 30% × Y
STEP 2 6 =
30
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:
STEP 3 Y = 6 ×
100
30
STEP 4 Y = 6 × 100 ÷ 30
STEP 5 Y = 20
Finally, we have found the value of Y which is 20 and that is our answer.
You can easily calculate a similar type of calculation by using any regular calculator, simply enter 6 × 100 ÷ 30 and you will get your answer which is 20
Step-by-step explanation:
Brianna measured the length of the cafeteria table in inches. She measured the same table in feet. Which unit would Brianna need more of to measure the length of the table? feet or inches and why?
A. She will need more inches than feet since feet are larger.
B. She will need more inches than feet since inches are larger.
C. She will need need more feet than inches since feet are smaller.
D. She will need the same number of inches and feet since they are the same size.
Answers
Answer:
A .she will need more inches than feet because feet are larger
Step-by-step explanation:
Distribute 28(2b + 1f + 1p)
Answers
Answer:
56b + 28f + 28p
Step-by-step explanation:
i think
(b) (7.5 x 10^5) - (8.6 x 10^4) + (2.7 x 10^3) +(1.4 x 10^4)
Answers
Answer:
680700
Step-by-step explanation:
this method can calculate more quickly
A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)
Answers
Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042
This outcome would warrant a replacement cup.
Step-by-step explanation:
Let x be a random variable that represents the temperature of hot chocolates.
GIven: Mean temperature = 175 degrees
standard deviation = 8.1 degrees
The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]
[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]
Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)
i.e. this outcome would warrant a replacement cup.
one glacier advanced 3.63 cm in 3 days. Another glacier retreated 5.75 cm in 5 days. If each glacier moved the same amount each day, which glacier is moving faster? justify your answer.
Answers
Answer:
glacier one is moving faster
Step-by-step explanation:
rate at which Glacier 1 is moving:
3.63 / 3 = 1.21 cm per day
rate at which Glacier 2 is moving:
5.75 / 5 = 1.15 cm per day
is this graph a function?
Answers
Answer:
yessss my dear
I hope to help you
A bookstore pays $4.50 for a novel. The percent of markup is 45%. Find the novel's selling price. 55 TE OME TELE mm
Answers
Answer:
Selling price= $6.53
Step-by-step explanation:
Giving the following information:
A bookstore pays $4.50 for a novel. The percent of markup is 45%.
To calculate the selling price, we need to use the following formula:
Selling price= purchase price*(1 + mark up percentage)
Selling price= 4.5*1.45
Selling price= $6.53
Noah spent some of his allowance on monday,1/8 of his allowance on Tuesday,1/8 of it on Wednesday and 2/8 of it on thursday.noah has none of his allowance money left.what fraction of his allowance did he spend on monday?explain
Answers
Answer:
Noah spent 4/8 of his allowance on Monday.
Step-by-step explanation:
Given that Noah spent some of his allowance on Monday, 1/8 of his allowance on Tuesday, 1/8 of it on Wednesday and 2/8 of it on Thursday, and has none of his allowance money left, to determine what fraction of his allowance did he spend on Monday the following calculation must be performed:
8/8 - (1/8 + 1/8 + 2/8) = X
8/8 - 4/8 = X
4/8 = X
Therefore, Noah spent 4/8 of his allowance on Monday.
13. (07.05 MC) What is the solution to the equation 5x + 2(x - 4) = 5x + x - 10? (1 point) O
Answers
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan
What’s the side length of x2+4x+4
Answers
Answer:
(x+2)^2
Step-by-step explanation:
(10-3)x(3-2^5) Use pemdas.
Answers
Answer:
-203
Step-by-step explanation:
(10−3)×(3−2^5 )
Subtract 3 from 10 to get 7.
7(3−2^5 )
Calculate 2 to the power of 5 and get 32.
7(3−32)
Subtract 32 from 3 to get −29.
7(−29)
Multiply 7 and −29 to get −203.
−203
So first we start with the parenthesis
(10-3) which is 7 and
(3-2^5) since exponents is next it would be (3-32) which is -29
So now we have 7 x -29 which is -203
Write an expression that is equivalent to
5(a+3b)+6+8a+12
Answers
Answer:
13a+15b+18 is the answer hope it helps
Answer:
[tex]5(a+3b)+6+8a+12=13a + 15b + 18[/tex]
Step-by-step explanation:
Expanding rules (and rearranging) gives us that
[tex]5(a+3b)+6+8a+12\\= (5a + 15b) + 8a + (6 + 12)\\= (5a + 8a) + (15b) + (18)\\= 13a + 15b + 18[/tex]
How do you Estimate the quotient of 1246 divided by 4
Answers
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 is 4 2/3 + 5 1/12
You did not give me even close to the correct answer
Answers
Answer:
9 3/4! I hope this helps!
Step-by-step explanation: