Answer:
Step-by-step explanation:
If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get
[tex]x^2-3x-7x+21[/tex] which simplifies to
[tex]x^2-10x+21[/tex] and we distribute in the 4:
[tex]4(x^2-10x+21)[/tex] to get
[tex]4x^2-40x+84[/tex] which is another way to write the last choice you're given.
If F(x)= 3x-2 and G(x)= x^2+8, what is G(F(x))?
Answer:
(3x-2)^2+8= 9x^2-12x+12
Leila is arranging 11 cans of food in a row on a shelf. She has 4 cans of corn, 1 can of peas, and 6 cans of beets. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical.
Answer:
2310 ways
Step-by-step explanation:
We are given;
Number of cans = 11
Number of cans of corn = 4
Number of cans of peas = 1
Number of cans of beets = 6
Following the rule of combination and permutations and applying it to this question, we have;
Number of ways = 11!/(6! × 1! × 4!)
Number of ways = 2310 ways
What is the answer for this one
Answer: 2617 centimeters cubed
Step-by-step explanation:
The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]
The radius is half of the diamerter which will be 7 for this figure.
The height is marked 17
[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]
833π is about 2616.95
Rounded to the nearest whole number it is 2617
TIME REMAINING
54:56
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?
Round to the nearest hundredth if necessary.
y = 71 x minus 29.82
y = 25 x minus 66
y = 0.42 x + 71
y = 0.42 x + 55
Answer:
[tex]y = 0.42x+55[/tex]
Step-by-step explanation:
Given
Let:
[tex]x \to miles[/tex]
[tex]y \to amount[/tex]
[tex](x_1,y_1) = (138,112.96)[/tex] ---- Bobs'
[tex](x_2,y_2) = (209,142.78)[/tex] --- Carl
Required
The equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{142.78 - 112.96}{209 - 138}[/tex]
[tex]m = \frac{29.82}{71}[/tex]
[tex]m = 0.42[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 0.42(x - 138) + 112.96[/tex]
[tex]y = 0.42x - 57.96 + 112.96[/tex]
[tex]y = 0.42x+55[/tex]
To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps?
10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1
–32 and 2
–2 and 32
–2 and 2
–32 and 32
Answer:
-2 and -2
Step-by-step explanation:
What is the domain of the square root function graphed below?
Answer:
Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.
Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.
Step 3: Write the answer using interval notation.
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Kerri got a score of 80.8; this version has a mean of 62.1 and a standard deviation of 11. Cade got a score of 286.4; this version has a mean of 271 and a standard deviation of 22. Vincent got a score of 7.9; this version has a mean of 7.2 and a standard deviation of 0.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job
Answer:
Kerri
calculate z scores z= (x - xbar)/stdev
Kerri = 1.7
Cade = .7
Vincent = 1
Step-by-step explanation:
In the diagram, the lines dividing parking spaces are parallel. The measure of ∠1 is 110°. Identify the measures of each labeled angle to ensure cars can park safely.
Answer:
1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110
Step-by-step explanation:
its the answer
Select the correct answer.
What is the solution to this equation?
log3 (4x) – 2log3x =2
A. 36
B. 9/4
C. 4/9
D. 1/36
9514 1404 393
Answer:
C. 4/9
Step-by-step explanation:
There are a couple of ways you can do this.
[tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]
Help please !!! I will mark brainlist!!
Answer:
x= -0.182 and +4
hope it helps
have a nice day
Use I = PRT to solve.
Answer: 11%
Step-by-step explanation:
Since the formula for interest is:
I = PRT
where.
P = 1200
I = 99
T = 0.75
I = PRT
R = I/PT
R = 99/(1200 × 0.75)
R = 99/900
R = 11%
Therefore, the rate is 11%
Sam is proving the product property of logarithms.
Answer: c
Step-by-step explanation: edge 2021
ASAP please helppp
Answer:
1.3
Step-by-step explanation:
Raise/run = slope aka distance in this situation
8/6 = 1.3
Answer:
10 units
Step-by-step explanation:
use the distance formula as thought in school
Which of the following represents the graph of f(x) = 4X – 2?
Answer:
The bottom one.
Step-by-step explanation:
A fair coin is tossed 5000 times. What can you say about getting the outcome of exactly 2500 tails
Step-by-step explanation:
You can't expect to get exactly 2500 out of 5000 tosses more than a few times . You will come pretty close, but that's only good in horseshoes.
Of course I'm answering this on the basis of a computer language and not actually performinig this a million tmes, each part of a million consisting of 5000 tosses.
Simulations and not completely unbiased, but based on experience, 5000 is a very small number and getting 2500 more than a couple of times is unlikely
The probability of flipping a coin
coming up heads and tails is 1/2.
________⚛⚛⚛⚛⚛_________So, toss 5000 times 5000/2= 2500
heads: 2500
tails : 2500
Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.
Answer:
3, 5 and 15
Step-by-step explanation:
According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.
plz help worth 50 points
Answer:
The answer is A
Step-by-step explanation:
Starting from -3 in the Y values of option A. If you subtract three from each value, you will get the next value to the right.
-3 minus -3 = -6-6 minus -6 = -9
Answer:
Someone already answered it but I won't let 50 points go to waste. !!!!!
Step-by-step explanation:
l[tex]\lim_{n \to \0} \frac{sin x}{x}[/tex]
1
Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}[/tex]
Let
[tex]f(x)= \sin x[/tex]
[tex]g(x)=x[/tex]
We are going to use L'Hopital's Rule here that states
[tex]\displaystyle \lim_{x \to c}\dfrac{f(x)}{g(x)}=\lim_{x \to c}\dfrac{f'(x)}{g'(x)}[/tex]
We know that
[tex]f'(x) = \cos x[/tex] and [tex]g'(x)=1[/tex]
so
[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}=\lim_{x \to 0}\dfrac{\cos x}{1}=1[/tex]
A plane travels a distance of 22,000 km in a time of 3.6 hours.
What is its average speed rounded to the nearest whole number?
in km/h
Answer:
6111 km/hr
Step-by-step explanation:
Given
Distance travels by plane d=22,000 km
time taken t=3.6 hours
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
Factor the trinomial, or state that the trinomial is prime.
y2-9y+14
Please help
=====================================================
Explanation:
To factor this, we need to find two numbers that
A) multiply to 14 (last term)B) add to -9 (middle coefficient)Through trial and error, you would find that the two numbers are -2 and -7
-2*(-7) = 14
-2 + (-7) = -9
So that's why the given trinomial factors to (y-2)(y-7)
You can use the FOIL rule to go from (y-2)(y-7) back to y^2-9y+14 again.
There are 200 students in a particular graduate program at a state university. Of them, 110 are female and 125 are out-of-state students. Of the 110 females, 70 are out-of-state students. If two of these 200 students are selected at random, what is the probability that both of them are out-of-state students?
The table shows a linear relationship between x and y.
х
у
-20
96
-12
60
-6
33
-2
15
What is the rate of change of y with respect to x?
Answer:
[tex] -\frac{9}{2} [/tex]
Step-by-step explanation:
Rate of change of x and y can be calculated using the following formula and using any two given pair of values from the table:
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Using (-12, 60) and (-6, 33).
Where,
[tex] (-12, 60) = (x_1, y_1) [/tex]
[tex] (-6, 33) = (x_2, y_2) [/tex]
Plug is the values
Rate of change = [tex] \frac{33 - 60}{-6 -(-12)} [/tex]
Rate of change = [tex] \frac{-27}{6} [/tex]
Simplify
Rate of change = [tex] \frac{-9}{2} [/tex]
Rate of change = [tex] -\frac{9}{2} [/tex]
29. In the 2010-2011 NBA regular season, the Los Angeles Lakers won 7 more than twice as many games as they lost. The Lakers played 82 games. How many wins and losses did the team have?
Answer:
Loss 25 Games & Win 57 Games
Step-by-step explanation:
According to question,we have
The Los Angeles Lakers won 7 more than twice as many games as they lost.
Assume Total Loss=L & Thus Total Win = 2L + 7Total Win + Total Loss = Total Games Played
2L + 7 + L = 82
3L = 82-7
3L = 75 ⇔ L = 25
Thus, Total Loss=25 Games & Thus Total Win = 57 Games
Someone help please!!
Answer:
9 (a) [tex]d = \frac{\sqrt{e}}{\sqrt{3}}[/tex]
9 (b) [tex]d = \frac{\sqrt{7k}}{\sqrt{2}}[/tex]
Step-by-step explanation:
Hope this helped!
4n-6 in as a undistributed expression
Answer:
2( 2n-3)
Step-by-step explanation:
4n-6
2*2 n - 2*3
Factor out the greatest common factor
2( 2n-3)
The strongest winds of Hurricane Isabel extended 50 miles in all directions from the center.
What is the area of the hurricane in square miles? Leave your answer in terms of Pi
Answer:
20
Step-by-step explanation:
your mom
Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4
Answer:
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Step-by-step explanation:
[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]
Answer:
D. 1/(x+1)(x-2)
Step-by-step explanation:
i looked it up on a simplifier :)
Which of the following phrases are expressions?
Answer:
C ,D , E just follow it . thank me later if its right
Answer:
E
Step-by-step explanation:
(10+7)(50+1)
=17×51
=867
the equation x^2 + y^2 + 21 = 40 + 18y. What is the radius of this cookie?
Answer:
The radius is 10
Step-by-step explanation:
Given
[tex]x^2 + y^2 + 21 = 40 + 18y.[/tex]
Required
The radius
Rewrite as:
[tex]x^2 + y^2 - 18y = 40-21[/tex]
Subtract 81 from both sides
[tex]x^2 + y^2 - 18y +81= 40-21+81[/tex]
Expand
[tex]x^2 + y^2 - 9y - 9y +81= 40-21+81[/tex]
Factorize
[tex]x^2 + y( y- 9) - 9(y -9)= 40-21+81[/tex]
Factor out y - 9
[tex]x^2 + (y- 9) (y -9)= 40-21+81[/tex]
Express as squares
[tex]x^2 + (y- 9)^2= 100[/tex]
[tex]x^2 + (y- 9)= 10^2[/tex]
The equation of a circle is:
[tex](x - a)^2 + (y- b)= r^2[/tex]
By comparison:
[tex]r^2=10^2[/tex]
[tex]r = 10[/tex]
find all possible values for each expression
9514 1404 393
Answer:
D
Step-by-step explanation:
The sine function is negative only for angles greater than 180°. This eliminates choice B.
The sine function is periodic with a period of 360°, eliminating choices A and C.
The only viable choice is D, which is the correct one.
