Answer:
f^-1(-32)=6
Step-by-step explanation:
Find the inverse of the function f(x)=4-6x:
f(x)=4-6x
y=4-6x
x=4-6y
x-4=-6y
(x-4)/-6=y
-1/6x+2/3=y
y=-1/6x+2/3
f^-1(x)=-1/6x+2/3
Plug in f^-1(-32) for f^-1(x) and simplify:
f^-1(-32)=-1/6(-32)+2/3
f^-1(-32)=16/3+2/3
f^-1(-32)=18/3
f^-1(-32)=6
Simplify: (6-21i)-(1-7i)
Answer:
-14i + 5
Step-by-step explanation:
( 6 - 21i ) - ( 1 - 7i )
6 - 21i - 1 + 7i
-21i + 7i + 6 - 1
-14i + 5
Mrs. Lee uses 9 cups of water for every
2 cups of rice. How many cups of water
are needed for 5 cups of rice?
If a system of two linear equations has infinitely many solutions, which of the following statements describes the graph of the corresponding two lines in the Iy-plane?
A The lines are coinciding.
B The lines are intersecting at only one point.
c The lines are parallel.
The lines are perpendicular.
Answer:
A.
Step-by-step explanation:
The lines touch along every point so they are on top of each other.
The given system of equations represent two coinciding lines.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
A linear equation in two variables represent a straight line.
As system of equations in two variables can be represented as
a₁x + b₊y + c₁ = 0
a₂x + b₂y + c₂ = 0
When there are two such equations having infinite solutions the relation between the coefficients is given as,
a₁/a₂ = b₁/b₂ = c₁/c₂
It implies that there are infinite points common between them which is possible only when these two lines are coinciding.
Hence, the graph of corresponding two lines in the x- y plane represents coinciding lines.
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Select all expressions that are equivalent to −4(+2)−2+4
A) −6−4
B) −4+2−2+4
C) −10
D) −4−2−8+4
Can someone help me
Answer:
Step-by-step explanation:
use the slope formula
Answer:
1) 3/2 2) 1 3)-5/3 4) 5/4 5) -5/9 6) 4/5 7) 8/5 8) 1/4 9) 1/2 10) 2/3 11) 0 12) -1/3 13) 1 14) -1
Step-by-step explanation:
Which angles are supplementary angles?
Answer:
∠RSQ and ∠RSV are supplementary because they form a straight line
Step-by-step explanation:
∠RSQ and ∠WXV are congruent because they are alternate-exterior ∠'s
∠RSQ and ∠UVS are congruent because they are corresponding angles
∠RSQ and ∠TSV are congruent because they are vertical angles
Rewrite the function by completing the square.
g(x)=4x^2-16x+7
g(x)=___(x+___)^2+__
Answer:
[tex]g(x) = 4(x - 2)^2 -9[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 4x^2 - 16x + 7[/tex]
Required
Complete the square
Rewrite so that [tex]x^2[/tex] has 1 coefficient
[tex]g(x) = 4(x^2 - 4x) + 7[/tex]
Take half of the coefficient of x
[tex]\frac{4}{2} = 2[/tex]
Square the result
[tex](\frac{4}{2})^2 = 2^2[/tex]
[tex](\frac{4}{2})^2 = 4[/tex]
Add and subtract the result in the bracket
[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]
Expand the bracket to remove -4
[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]
[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]
Expand the bracket
[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]
Factorize
[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]
Factor out x - 2
[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]
Express as square
[tex]g(x) = 4(x - 2)^2 -9[/tex]
Find the surface area of the prism 12in 7in 5in
Answer:
Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula
Step-by-step explanation:
least to greatest -2/5, -2/3, -0.8, -3/4
Answer:
-0.8 -3/4 -2/3 -2/5
Step-by-step explanation:
Answer:
-3/4, -0.8, -2/3, -2/5
Step-by-step explanation:
You and three of your friends buy tickets for a concert so that you sit together in the same row. Write an expression using factorials that could be used to find the probability that you will get the seat on the far left.
Answer:
[tex]Pr = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex]
Required
Probability that you seat on the far left
First, we calculate the total possible seat arrangements.
This is calculated using:
[tex]Total =n![/tex]
[tex]Total =4![/tex]
[tex]Total =4*3*2*1[/tex]
[tex]Total =24[/tex]
Next, the possible seat arrangements if you seat at the far left.
This implies that you can only seat 1 spot while your friends (3) can seat on any of the remaining 3 seats.
i.e.
[tex]You \to 1[/tex]
[tex]Friend\ 1,2,3 \to 3,2,1[/tex]
The number of arrangement is:
[tex]Arrangement = 1 * 3 *2 *1[/tex]
[tex]Arrangement = 6[/tex]
The required probability is:
[tex]Pr = \frac{Arrangement}{Total}[/tex]
[tex]Pr = \frac{6}{24}[/tex]
Simplify
[tex]Pr = \frac{1}{4}[/tex]
Pleaseee help easy math! no links. full explanation needed. (will give brainlyist) :))
Answer:
B is right becuase out of all of the answers this one is the least value with 26
Step-by-step explanation:
2x3x4+5 is false becuase the answer 29 which is the 2nd most value(2X3) + (4x5) is true because the answer 25 which is the least(2+3+4)x5 is false because the answer 45 which is the 3rd most value 2X(3+4)% is false because the answer 79 which is the 4th most value Hence B is rightBrainliist plsAccording to a town's census a household's number of visits to a gas station has a mode of 3 visits per week. Jane surveys 20
homes in her neighborhood and finds the mode to be 6 visits. How can she get her survey statistics to more closely approximate
the population parameters?
A)
Choose some different houses to survey.
B)
Get a more random sample from the town.
C
Increase the number of houses that she surveys.
D)
Recalculate because she must have made a mistake.
Answer:B Get a more random person sample from the town
Step-by-step explanation:
Answer each question. Explain the method you chose to solve each problem. For
example, changing the percent to a fraction, changing the percent to a decimal or
inverse (switching the percent and number).
1. How long is 50% of 75 minutes?
I
2. How long is 20% of 60 minutes?
3. How long is 75% of 60 minutes?
Answer:
1. 37.5 (70*0.50)
2. 12 (60*0.20)
3. 45 (60*0.75)
Step-by-step explanation:
m * p
(percentage in decimal form)
Stella rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that she will roll a number less than or equal to 5? \text{impossible}impossible \text{certain}certain \text{unlikely}unlikely \text{likely}likely
The probability of getting a number less than or equal to 5 is 5/6.
What is probability?"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".
For the given situation,
Stella rolls a standard six-sided die, numbered from 1 to 6.
The sample space for rolling a single die = {1, 2, 3, 4, 5, 6}
⇒[tex]n(s)=6[/tex]
The event is getting a number less than or equal to 5.
E = { [tex]{1, 2, 3, 4, 5}[/tex] }
⇒[tex]n(e)=5[/tex]
Thus the probability of getting a number less than or equal to 5,
[tex]P(e) =\frac{n(e)}{n(s)}[/tex]
⇒[tex]P(e)=\frac{5}{6}[/tex]
Hence we can conclude that the probability of getting a number less than or equal to 5 is 5/6.
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Henry has 15 coins in his pocket. 10 of the coins are pennies, 5 of the coins are quarters. Henry pulls one coin from his pocket and, without replacing it, pulls another coin. What is the probability that he pulled two pennies from his pocket?
Answer:
The probility is hight .
Step-by-step explanation:
because there are more pennies then quarters so there's about a 85 to 75% chance
9
Solve for x: 5x + 6 = 7
Correct Answer
SHOW HINT
Math
Answer:
1/5 or 0.2
Step-by-step explanation:
5(0.2)+6=7
plug in and multiply :)
Answer:
5x+6=7
or,5x=7-6
or,x=1/5
therefore,x=0.2
I hope this will help you
Please hurry! Giving branniest to correct answer! 6TH GRADE MATH!
Answer: A C D
Step-by-step explanation:
for what value of x does g(x)=0
Answer:
That happens at x = 6. ....
DIG DEEPER You and
a friend start riding bikes toward each other from opposite ends of a 24-mile biking route. You ride 2 miles every 4 hour.
Your friend rides 7
miles per hour.
a. After how many hours do you meet?
Answer:
1.5 hours
I traveled farther
2 miles
Step-by-step explanation:
My speed
Speed of my friend
Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let be the time taken to meet
So, we meet each other after 1.5 hours.
Distance traveled by me
Distance traveled by my friend
PLZ HELP IM ON A TIMER ALL THE ANSWERS IS ON THE SCREEN SHOT :{{{ plz hurry
Answer:
A) -10 + (-10)
Step-by-step explanation:
19. Linton's rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area of the garden?
Answer:
20 1/4
Step-by-step explanation:
since 4 1/2 we need to change the denominator 1/2 x 2 = 2/4 now multiply
4 2/4 x 5 3/4 = 20 1/4
I NEED THE ANSWER IN THE NEXT MINUTE
Answer:
BD is a diameter
Step-by-step explanation:
What is the product of -3 and 5? A. -15 B. -8 C. 8 D. 15
Answer:
A) -15
Step-by-step explanation:
Answer:
A. - 15
Step-by-step explanation:
Got it right
What percent of data is less than 20?
Answer:
100%
Step-by-step explanation:
The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.
30.16 = 17.56 + 5x what is x
Answer:
x = 2.52
feel free to hit the crown
Answer:
2.52
Step-by-step explanation:
30.16 - 17.56 = 12.6
12.6 / 5 = 2.52
To verify if you plug it in, 30.16 = 17.56 + 5(2.52)
I hope it helped :)
Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C
Answer:
A - B - C
Step-by-step explanation:
Tuan is an artist. He is painting on a large canvas which is 49 inches wide. The height of the canvas is 3 inches less than the width. What is the area of Tuan's canvas? The area of the canvas is square inches
Given:
Width of the canvas = 49 inches
The height of the canvas is 3 inches less than the width.
To find:
The area of the canvas.
Solution:
It is given that,
Width of the canvas = 49 inches
The height of the canvas is 3 inches less than the width
So, the height of the canvas is:
[tex]h=49-3[/tex]
[tex]h=46[/tex]
We know that the shape of the canvas is a rectangle and the area of the rectangle is:
[tex]A=length\times width[/tex]
The two dimensions of the canvas are 46 inches and 49 inches. So, the area of the canvas is:
[tex]A=46\times 49[/tex]
[tex]A=2254[/tex]
Therefore, the area of the canvas is 2254 square inches.
DOES ANYONE KNOW WHAT THUS WOULD BE !!!?
Answer:
120cm^3
Step-by-step explanation:
With the radius of 6, multiply 6 by itself to square it.
36
Then multiply that by the height of 10
360
Lastly divide by 3
120cm
Answer:
120
Step-by-step explanation:
Please solve these, I thank you my friends
Write and solve an equation to find the value of x
Answer:
180 - (52 + 28) = x and then x = 100.
Step-by-step explanation:
A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.
The equation we used to find that is: 180 - (52 + 28) = x.
52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.
Solve the inequality:
7x + 5 > 20 - 35
Answer:
x>-20/7
Step-by-step explanation:
Answer:
x > 2.8671
Step-by-step explanation: