Answer: A) f(x) = (x − 2)^2(x + 1)(x − 3)
Step-by-step explanation: The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.
When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...
f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)
f(x) = (x -2)^2(x +1)(x -3)
how do you surprise a blind person? you leave the plunger in the toilet !
Find the area of the figure.
area
units2
Answer:
[tex]33 units^{2}[/tex]
I counted the squares.
Bag contains 11 counters. 5 are white
a counter is taken out and not replaced. Second one is taken out. Prob that one of them is white
Answer:
6/11
Step-by-step explanation:
After taking 2 counters with no replacement, that only one of these is white. We will see that the probability is 6/11.
Given that;
there are 11 counters, 5 of them are white, 6 are not white
First we take the white one, the probability is equal to the quotient between the number of white counters and the total number of counters, so we have:
p = 5/11
And, also notice that there are 2 permutations:
first white, then non-white.
first non-white, then white.
So we need to add a factor 2.
P = 2*p*q = 2*(5/11)*(6/10) = 6/11
The probability is 6/11
We can also Do:
11/11 = Whole
11 - 5 = 6
Hence, Answer = 6/11
~Learn with Lenvy~
Originally a rectangle was twice as long as it was wide. When 4 m were added to its length and and 3 m subtracted
from its width, the resulting rectangle has an area of 600 m². Find the dimensions of the new rectangle.
Answer:
Step-by-step explanation:
Original rectangle
L = 2*w
w = w
New rectangle
2w + 4
w - 3
Area New rectangle
(2w + 4)(w - 3) = 600 Remove the brackets
2w^2 - 6w + 4w - 12 = 600 Combine the left
2w^2 - 2w - 12 = 600 Subtract 600 from both sides
2w^2 - 2w - 600 - 12 = 0 Combine
2w^2 - 2w - 612 = 0 This factors.
(w- 18)(w + 17) = 0
w + 17 will produce nothing useful. What is - 17 m ? Can you measure it?
w = 18
check
Original Triangle
w = 18
L = 36
Derived Triangle
L = 36 + 4 = 40
w = 18 - 3 = 15
LW = 600
Answer
L = 40W = 15please help ASAP!!! (75 points!!!)
Answer:
Image its not loading my man, try to re-upload it
Step-by-step explanation:
DO THIS FACTORISATION WITH STEPS!!! 4ax-3bx-8ay+6by
Step-by-step explanation:
x•(4a-3b)-2y•(4a-3b)
(x-2y)•(4a-3b)
Answer:
Step-by-step explanation:
4ax-3bx-8ay+6by
4ax-x-3bx-x-8ay+6by
4a-3b-2x-8ay+6by
4a-3b-2x-8ay+6by
4a-3b-b-2x-8ay+6b-by
4a-4b-2x-8ay+6y
4a+a-4b-2x-8a+ay+6y
5a-4b-2x-8y+6y
5a-4b-2x-2y
Please someone help please hurry ??????
You need a graph to do that
5x + 6y = -10
find x
5x+3y=20
find y
Assume the following angle is in standard position. Find a positive and negative angle whose absolute value is
less than 360° and is coterminal with the given angle. -485°
Answer:
Step-by-step explanation:
Negative angle: -485+360=-125 degrees
Positive angle: -485+720=235 degrees
An expression is shown below.
Which expression is an equivalent expression?
Please work it out to show how you got the answer.
C
Step-by-step explanation (A):
[tex]\frac{4}{5}(3x+5y)[/tex]
Apply the Distributive Property
[tex]\frac{4}{5}\times3x+\frac{4}{5}\times5y[/tex]
Cross out the common factor
[tex]\frac{4}{5}\times3x+4y[/tex]
Multiply the monomials
[tex]\frac{12}{5}x+4y[/tex]
Determine true/false
[tex]Determine\ whether\ \frac{12}{5}x+\frac{20}{3}y\ and\\ \frac{4}{5}(3x+5y)\ are\ equivalent\\ False[/tex]
Step-by-step explanation (B):[tex]\frac{4}{15}(3x-5y)[/tex]
Apply the Distributive Property
[tex]\frac{4}{15}\times3x-\frac{4}{15}\times5y[/tex]
Cross out the common factor
[tex]\frac{4}{5}x-\frac{4}{15}\times5y\\ \frac{4}{5}\times-\frac{4}{3}y[/tex]
Determine true/false
[tex]Determine\ whether\ \frac{12}{5}x+\frac{20}{3}y\ and\ \frac{4}{15}(3x-5y)\ are\ equivalent:[/tex]
[tex]False[/tex]
Step-by-step explanation (C):[tex]\frac{4}{15}(9x+25y)[/tex]
Apply the Distributive Property
[tex]\frac{4}{15}\times9x+\frac{4}{15}\times25y[/tex]
Cross out the common factor
[tex]\frac{4}{5}\times3x+\frac{4}{15}\times25y\\ \frac{4}{5}\times3x+\frac{4}{3}\times5y[/tex]
Multiply the monomials
[tex]\frac{12}{5}x+\frac{4}{3}\times5y\\ \frac{12}{5}x+\frac{20}{3}y[/tex]
Determine true/false
[tex]Determine\ whether\ \frac{12}{5}x+\frac{20}{3}y\ and\ \frac{4}{15}(9x+25y)\ are\ equivalent:\\ True[/tex]
Step-by-step explanation (D):[tex]\frac{4}{3}(3x-5y)[/tex]
Apply the Distributive Property
[tex]\frac{4}{3}\times3x-\frac{4}{3}\times5y[/tex]
Cross out the common factor
[tex]4x-\frac{4}{3}\times5y[/tex]
Multiply the monomials
[tex]4x-\frac{20}{3}y[/tex]
Determine true/false
[tex]Determine\ whether\ \frac{12}{5}x+\frac{20}{3}y\ and\ \frac{4}{3}(3x-5y)\ are\ equivalent:\\ False[/tex]
I hope this helps you
:)
What is the mode of the data set: 17,13,18,20,17,15,12
Answer:
17
Step-by-step explanation:
17 is the most frequent number showing in the set.
Step-by-step explanation:
Mode = Most frequently occurred data
Mode = 17 (as 17 occurred 2 times in the given set of data)
If f(x) = x^3, find x if f(x) = 1000
help!!
Answer:
x = 10
Step-by-step explanation:
[tex]\mathsf{given \ f(x)=x^3 \ and \ f(x)=1000}\\\\\mathsf{\implies x^3=1000}\\\\\mathsf{\implies x=\sqrt[3]{1000}}\\\\\mathsf{\implies x=10}[/tex]
Write the coordinates of the vertices after a translation 4 units left.
Answer:
Step-by-step explanation:
Question 5 (5 points)
(02.05 LC)
Which sequence of transformations creates a similar but not congruent triangle? (5 points)
a
Dilation and reflection
b
Reflection and rotation
с
Reflection and translation
d
Translation and rotation
Answer:
A
Step-by-step explanation:
dilation and rotation
100 POINTS!!!
What is the rate of change of the following table?
EXPLAIN
Answer:
4
I think it is 4
Estimate the following limit numerically.
limx→2x+3−2x−1
Answer:
Your answer is 0
Have a great day!
100PT AND BRAINLIEST! Two functions are graphed below. The exponential function is g. The linear function is h. Which option below gives the formula of k (x) = g(x) × h (x)?
A. k(x) = 2^x + 1
B. k(x) = x2^x + 1
C. k(x) = 2^x - 1
D. k(x) = x2^x - 1
Thanks so much in advance for your help, have a great day! :)
For h(x)
See line passes through
(0,2)(2,4)(3,6)The function is
y=2xFor g(x)
Line passes through
(0,1)(1,2)(2,4)Observe
2⁰=12¹=12²=4So
The function is
y=2^xNow
k(x)
g(x)×h(x)2^x(2x)2^{x+1}xx2^x+xAnswer:
Hope this helps! :)
Step-by-step explanation:
We can find the equations of the given functions as follows:
The linear function is h(x) = 2x + 1
The exponential function is g(x) = 2^x
To find k(x) = g(x) * h(x), we multiply the two functions:
k(x) = g(x) * h(x)
k(x) = 2^x * (2x + 1)
k(x) = 2^(x+1) * (x + 1/2)
So, the option that gives the formula of k(x) is:
k(x) = 2^(x+1) * (x + 1/2)
Therefore, the answer is:
k(x) = 2^(x+1) * (x + 1/2)
-2+8(b+3)=86
Can you help me in this question please
Answer:
b = 8
Step-by-step explanation:
-2 + 8(b + 3) = 86
Open the parenthesis
-2 + 8b + 24 = 86
Combine like terms
8b + 22 = 86
Subtract 22 from both sides of the equation
8b = 64
Divide both sides by 8
b = 8
From a standard deck of cards, calculate the probability of drawing a queen of hearts. Pls add formula to get to the conclusion
Answer:
1/52
Step-by-step explanation:
only one queen in a deck of cards
1/52
also the formula is
possibility of getting the outcome/total possible outcomes
get Money for answering this :)
Answer:
2
Step-by-step explanation:
hope it helps
Can u help me solve this pls
Answer:
2x +3(x +1.5)=12
Step-by-step explanation:
you do this because you are trying to find what x equals,
BTW I’m doing this right now as well
A triangle is rotated 90° about the origin. Which rule describes the transformarion?
Answer:
its either counterclockwise or clockwise 90 degree rotation
Step-by-step explanation:
each point of the given figure has to be changed from (x, y) to (y, -x)
Find the equation of the exponential function represented by the table below:
Answer:
y=a(b)^x
y=0.01(3)^x
a is start, b is multiplier
30 POINTS !! HELP ME PLEASE! WILL GIVE BRAINLIEST TO BEST ANSWER
SHOW STEPS PLEASE! THANK YOU SOO MUCH!
Solve the system of equations
{3x−y=6
{6x+y=21
Answer:
The easiest way to solve this is by elimination.
3x - y = 6
6x + y = 21
Since you have a negative and positive y with the same coefficients (1), they cancel, and you add the other terms so it would look like:
9x = 27
Then solving for x leaves you with x = 3
Then you take the x value of three and plug it into to either of the equations, so
3(3) - y = 6
9 - y = 6
subtracting 9
-y = -3
then dividing by -1
y = 3
so the solution is x = 3 y = 3 or (3,3)
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Add 3x + 6x, and execute the y, then -6 from 21 and you got ur answer of 15!
PLEASE HELP WILL MARK BRAINLIEST
Study the data and answer the question that follows.
July`:
New-35
Used-62
August:
New-45
Used-42
September:
New-20
Used-55
October:
New-27
Used-39
November:
New-51
Used-12
December:
New-38
Used-87
Which type of car had the largest range in monthly sales? Explain how you came up with your answer. PLEASE NO LINKS OR I WILL REPORT YOU
Answer: hi! December
Step-by-step explanation:
I added all the sails and now my concussion is December. Please mark branleyest! =^.^=
Solve the system of linear equations by elimination. Write your answer in the form (x,y)
-7x-8y=9
-4x+9y=-22
Answer:
Solution: (1,-2)
Step-by-step explanation:
System of Equations
Given the equations:
[tex]-7x-8y=9\qquad\qquad [1][/tex]
[tex]-4x+9y=-22\qquad\qquad [2][/tex]
We'll solve it by elimination. It means eliminating one of the variables by equating their coefficients. We select the variable y. To eliminate it, multiply the equation [1] by 9 and the equation[2] by 8:
-63x-72y=81
-32x+72y=-176
Adding up both equations:
-95x=-95
Solving:
x=-95/(-95)=1
x=1
Now to eliminate x and find y, multiply [1] by 4 and [2] by -7:
-28x-32y=36
28x-63y=154
Adding up both equations:
-95y=190
Solving:
y=190 / (-95) = -2
y=-2
Solution: (1,-2)
Help. When five times a certain number is subtracted from 40, the result is -15. Find the number.
Answer:
that number is 11
Step-by-step explanation:
if you call that number n, you can make the following equation:
40 - 5n = -15
add 5n to both sides of the equation
40 = -15 + 5n
add 15 to both sides of the equation
55 = 5n
divide both sides by 5
11 = n
Answer:
11
Step-by-step explanation:
I put 11 and got it right
You find a pair of jeans on a clearance rack that originally cost $64. They were marked down 50%. The clearance price sign says an additional 50% off. Johnny says that you do not need to pay anything for the jeans. Do you agree? Why or Why not? Make sure that your answer is given with at least four sentences.
Answer and explanation:
Original cost of jeans =$64
Markdown by 50%= 0.50*64= $32
Additional discount by clearance sign 50% =0.50*32= $16
Therefore I disagree with Johnny. First the original price $64 was reduced by half of the price 50% of $64 =$32. Secondly the new price $32 is then also reduced by half of it 50% giving us $16. Therefore the discounts did not wipe off all the price as suggested by Johnny.
what is 1 5/12 + 1 8/12 for iready
Answer:
3 1/12
Step-by-step explanation:
pls help me thx very desparate
Answer:
4) Dmytro drank more juice
5) Henrietta is older
Step-by-step explanation:
4)
Dmytro drank 7/4 bottles which is 1.75 bottles
Jitka drank 1 1/2 bottles which is 1.5 bottles
So, Dmytro drank more juice
5)
Henrietta is 7 2/3 years old which is 7.66
Jagdeep is 65/12 years old which is 5.41
So, Henrietta is older
.
Which expression is equivalent to (73)−2? (4 points)
1 over 7
1 over 7 times 7 times 7 times 7 times 7 times 7
negative 1 over 7 times 7 times 7 times 7 times 7 times 7
7
Answer:
The Answer is 1 over 7 times 7 times 7 times 7 times 7 times 7
Step-by-step explanation:
All you have to do is multiply the exponents.
[tex]7^{3*(-2)} =7^{-6}[/tex]
and the rule says :
[tex]x^{-a} = \frac{1}{x^{a} }[/tex]
So that means :
[tex]7^{-6} =\frac{1}{7^{6} } =\frac{1}{7*7*7*7*7*7}[/tex]
hope it helps ... have a good day
1 over 7 times 7 times 7 times 7 times 7 times 7 is equivalent to (73)−2.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here we have,
(7^3)(−2)
=7^(-6)
=1/7^6
=1/7*7*7*7*7*7
Hence, 1 over 7 times 7 times 7 times 7 times 7 times 7 is equivalent to (73)−2.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2