Answers
Answer:
the answer is (x-1)^2=4
Related Questions
ASAP PLEASE HELP!!! 100PTS BRAINLIEST!!!
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −9
0 −1
1 7
g(x)
g(x) = 3x − 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answers
Answer:
Part A: The slope f(x) is greater than slope g(x).
Part B: f(x) has a greater y-intercept.
Step-by-step explanation:
Part A:
The slope of the line is (y2 - y1)/(x2 - x1), so now we have to find the slope f(x).
-1 - (-9) / 0 - (-1) = 8/1 = 8
That would be the slope, and for g(x) it would be 3x-2 = 3.
Which means the slope f(x) is greater than slope g(x).
Part B:
First the y-intercept has to be put on 0.
So, the when function f(x) passes through point (0, -1), then y-intercept is -1.
Now we compare g(x) = 3x-2 with the slope-intercept form and b = -2 is the result. form and b = -2 is the result.
Which means the slope of g(x) is -2. Therefore, f(x) has a greater y-intercept than g(x).
Answer:
A) Slope of f(x) is 8. Slope of g(x) is 3
B) f(x) has the greater y-intercept
Step-by-step explanation:
Part A
To find the slope of function f(x), use the slope formula:
[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{7-(-1)}{1-0}=8[/tex]
Therefore, the slope of f(x) is 8.
Linear function
[tex]y=mx+b[/tex]
where:
m is the slopeb is the y-interceptGiven:
[tex]g(x)=3x-2[/tex]Therefore, the slope of g(x) is 3.
Part B
The y-intercept is when x = 0. Therefore, from inspection of the table, the y-intercept of f(x) is -1.
The y-intercept of function g(x) is -2.
Therefore, as -1 > -2, function f(x) has the greater y-intercept.
2. a survey of 200 college graduates who have been working for at least three years found that 75 owned only mutual funds, 35 only stocks, and 90 owned both. a. what is the probability that an individual owns a stock
Answers
Using it's concept, it is found that there is a 0.625 = 62.5% probability that an individual owns a stock.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 200 graduates, 35 + 90 = 125 of them own stocks, hence:
p = 125/200 = 0.625.
There is a 0.625 = 62.5% probability that an individual owns a stock.
More can be learned about probabilities at https://brainly.com/question/14398287
7.3 reteaching with practice 415-420
Answers
Please help I will give brainliest.
Answers
Answer:
The weight, in pounds, of one bag of beans.
Step-by-step explanation:
Since we know that there are 15 bags of beans, we can eliminate the first option and anything about something other than th e beans. Also, we know that we are not given the information on how heavy the bag of beans are, so with process of elimination, the 3rd one is the answer.
I hope this helped!
It would be greatly appreciated if you marked this answer as brainliest!
Evaluate the expression when a=5 and b=28.b+(30)/(a)
Answers
Answer:
34
Step-by-step explanation:
Just substitute in the valuesThis would give 28 + 30/5 = 28 + 6 = 34A frog starts jumping from the middle of a circular pond.
The pond is 12 metres across, from one side to the other.
43
The frog always jumps half the distance left to the edge of the pond.
How far is the frog from the edge after 3 jumps?
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Answer:
Step-by-step explanation:
Remark
You could do this simply by taking 3 jumps, without using a formula. That would work as well, but I think it is easier just to make 3 jumps.
Jump One
The frog starts out 6 meters from an edge. (He/she starts at the middle). The frog makes 1 jump.
He lands 3 meters (1/2 the distance) from the edge.
Jump Two
He jumps in such a way that he is 1/2 the distance from the edge. So far he is 3 meters away. His jump puts him 1 1/2 meters from the edge.
Jump Three
The frog makes one last jump. It is 1 1/2 meters from the edge. The third jump takes it 1/2 * 3/2 = 3/4 a meter away from the edge.
Answer: 3/4 of a meter from the edge.
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
O x2 + x = 42
O x2 + 2x = 42
O x2 + x + 42 = 0
O x2 + 2x + 42 = 0
ark this and return
Answers
Answer:
x² + x = 42
Step-by-step explanation:
let x = a number
then x² is the square of the number
x² + x is the sum of the square of the number and the number.
x² + x = 42
Solve the word problem below.
Jane took out $135 from her checking account. If Jane now has a balance of $650 in her
account, how much did Jane have in the account before she took out any money?
Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.
Step 2: Write an equation to model the situation.
Step 3: Solve the equation and write your answer in sentence form. Show your work.
Answers
Answer:
x = the amount of money Jane had before she took out any
x - 135 = 650
x = 785
Step-by-step explanation:
Let x = the amount of money Jane had before she took out any
Set up the equation
x - 135 = 650
To solve the equation, we must add 135 on both sides to cancel the -135 on the left side of the equal sign.
x - 135 = 650
x = 785
I hope this helps and please mark me as brainliest!
is (1,9) included in the graph p=3m+6
Answers
Jacob has $4,800 to invest in a saving account. He receives a steady interest rate of 3. 35% compunded quarterly. He would like to save or the next 5 years and then take his money out. What would be his balace at the end of the 5 years?
$9,354. 20
$7,211. 74
$5,671. 30
$5,604. 0
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Answer:
5671.30
Step-by-step explanation:
periods = 5 years quarterly = 20 periods
interest per period .0335/4 (4 periods per year)
initially 4800
FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30
The graph of the function is of the form
f(x) = a * sin(kc – c) + h.
Answers
Explain
There 0,3 on the graph
You use this formula
f(x)=asin(kx-c)+h
and the maximum and minimum value of this function
a+ h and -a+ h
So a=3 and h=0
So we have
We have; f(x)= 3sin(kx - c)
and we have from the graph;
f(O)=3
So
Sin(-c) =-1
Therefore C=. Pi/ 2 +2pi n
We have period of the function is pi
2pi/ k
k=2
So it will equal Pi
Do you have any doubts ?
Find the value of A+B
5/x²+6x+8 = A/x+2 + B/x+4
Answers
Step-by-step explanation:
[tex] \frac{5}{ {x }^{2} + 6x + 8} = \frac{a}{x + 2} + \frac{b}{x + 4} \\ factorizing \: the \: denominator \: of \: the \: first \: term \\ {x}^{2} + 6x + 8 \\ {x}^{2} + 4x + 2x + 8 \\ ( {x}^{2} + 4x)( + 2x + 8) \\ x(x + 4) + 2(x + 4) \\( x + 2)(x + 4) \\ \\ \\ \\ \frac{5}{(x + 2)(x + 4)} = \frac{a}{x + 2} + \frac{b}{x + 4 } \\ multiplying \: by \: the \: lcm = (x + 2)(x + 4) \\ 5 = a(x + 4) + b(x + 2) \\ put \: x = - 4 \\ 5 = a( - 4 + 4) + b( - 4 + 2) \\ 5 = a(0) + b( - 2) \\ 5 = 0 - 2b \\ 5 = - 2b \\ b = \frac{5}{ - 2} \\ b = - 2 \ \frac{1}{2} \\ substituting \: b = - 2 \frac{1}{2} and \: put \: x = - 2 \\ 5 = a( - 2 + 4) + b( - 2 + 2) \\ 5 = a(2) + b(0) \\ 5 = 2a \\ a = 2 \frac{1}{2} \\ a + b = 2 \frac{1}{2} + ( - 2 \frac{1}{2} ) \\ 2 \frac{1}{2} - 2 \frac{1}{2} \\ a + b = 0[/tex]
What is the absolute value of -|-4| ?
Answers
Answer:
- 4
Step-by-step explanation:
the absolute value function always give a positive result , that is
| - a | = | a | = a
then
- | - 4 | = - | 4 | = - 4
What is the period of rotation of the wheel for which the height of a rider (in feet) above the ground after riding the wheel for t seconds dunce passing the farthest right position on the wheel given by h(t)=60+45 sin (30t)?
Answers
According to the given sine function, it is found that the period of rotation is of 0.21 seconds.
What is the period of a sine function?Suppose a sine function modeled by:
[tex]y = A\sin{[B(x + c)]}[/tex]
The period is given by:
[tex]P = \frac{2\pi}{B}[/tex].
In this problem, the function is:
h(t)=60+45 sin (30t).
The vertical shift and the amplitude do not interfer in the period, hence B = 30 and:
[tex]P = \frac{2\pi}{30} = 0.21[/tex]
The period of rotation is of 0.21 seconds.
More can be learned about the period of a sine function at https://brainly.com/question/16818112
Karina gets a 3% interest rate per year for her savings account. She has $8,500 in her savings account. How much money does she have in her account after 1 year?
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Answer:8755
Step-by-step explanation:100%+3%=103% in decimal form 1.03
8500x1.03=8755
16+(5 to the 2nd power -7)divided by 3
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answer:
11.3(repeating) or [tex]\frac{34}{3}[/tex]
explanation:
attached
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if this helped, please consider giving brainliest !
Look at attachment below please help
100 POINTS AND BRAINLYIEST
Answers
Answer:
x = 28 unitsy = 14 unitsStep-by-step explanation:
Given is 30 x 60 x 90 right triangle
The side ratios of this triangle is
y : 14√3 : x = 1 : √3 : 2Find the value of x and y using this ratio
y = 14√3/√3 = 14x = 2y = 2*14 = 28Let's find
sin60=14√3/x√3/2=14√3/xx=14×2x=28unitsAnd
tan60=14√3/y√3=14√3/yy=14unitsExpand and simplify (x+6)(x−11)
Answers
Answer:
x^2 - 5x - 66
Step-by-step explanation:
1. Distrubute the x to the x and -11 so you will get x^2 - 11x
2. Distrubute the 6 to x and -11 and you get 6x - 66
3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66
The answer is C, but I don't understand why- can anyone tell me?
Answers
Answer:
It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.
Hope this helped and wasn't too confusing
What is 8 1/3 - 3 1/2?
Answers
Answer:
4 5/6
Step-by-step explanation:
Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).
8 1/3 = 25/3
3 1/2 = 7/2
Then, try and make the denominators the same by finding the LCD (least common denominator).
The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).
[tex]\frac{25*2}{3*2}[/tex] = [tex]\frac{50}{6}[/tex]
[tex]\frac{7*3}{2*3}[/tex] = [tex]\frac{21}{6}[/tex]
So, then subtract (50/6 - 21/6).
50/6 - 21/6
= 29/6 = 4 5/6
So, 8 1/3 - 3 1/2 is 4 5/6.
Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on speakers that cost $43.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$466.43 < $43.00x + $1,059.35
B.
$1,059.35 < $43.00x + $1,059.35
C.
$466.43 + $43.00 + x < $1,059.35
D.
$43.00x + $466.43 < $1,059.35
Answers
Answer:
D. $43.00x + $466.43 < $1,059.35
Step-by-step explanation:
He has $1,059.35.
The amount of speakers he buys is x.
Each speaker is $43.00, and he is buying one television, which is $466.43.
All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.
Hope this helps!
Answer:
D
Step-by-step explanation:
its $43 each and he wants to buy more than one so that means thats x
that marks out C
so 43.00x +466.43 is less than 1,059.35
I really feel like one of them should have less than/greater than or equal to sign but without I think its D
Convert equation to standard form
18) y+1=4/5(x-5)
Answers
Answer:
4x - 5y = 25
Step-by-step explanation:
Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below. Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction Variance squared = StartFraction (9) squared minus (32) squared +
BACK
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Answer:
The answer is 274
Step-by-step explanation:
Given;Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78.To Find;Variance:-Now,
Definition of Variance:
Variance is the value of the squared variation of the random variable from its mean value, in probability and statistics.So,
[tex] \frac{ {(87 - 78)}^{2} + ( {46 - 78)}^{2} + (90 - 78) {}^{2} + ({78 - 78)}^{2} + ( {89 - 78)}^{2} } {5} [/tex]
[tex]Var(X) \: = \frac{1370}{5} = 274 \\ [/tex]
Thus, The variance of the sequence is 274.
Find the length of the third side. If necessary, round to the nearest tenth.
9
13
Answers
Answer:
15.8
I think there is a part of the question missing (the triangle is a right triangle)
hope this helps
+let me know if you need an explanation
PLS HELP
it is the last question ignore the lesson and pg number ;)
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Answer:
the last answer is -1 :))))))
A triangle has two angles with measures of 90 and 20 degrees joined by a side with a length of 12 centimeters.
Which figure represents this triangle?
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Answer: C
Step-by-step explanation:
We know that A and D will not be the correct answers. For A, it's only one 90 angles, but the questions said that has two angles. For D, it's two angles : 90 and 12, but in the question, 12 is the length, not the angle.
The correct answer is C.
what is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?
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Answer: 45
Step-by-step explanation:
The Median is the Middle # in the set.
I hope this helps!
Please help. this is beyond confusing. it’s stressing me out.
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Answer:
D = 1120
Step-by-step explanation:
Given:
W = 70T = 4Substitute the values into the equation:
⇒ D = WT²
[tex]\text{D = WT}^{2} \ \text{can also be written as D = (W)(T)(T)}[/tex]
⇒ D = (W)(T)(T)
⇒ D = (70)(4)(4)
Simplify the RHS:
⇒ D = 280(4)
⇒ D = 1120
Tyger spends 25 minutes studying mathematics, 35 minutes studying science and 40 minutes studying history. What percentage of his time is spend studying science?
Answers
Answer:
35%
Step-by-step explanation:
First, we add :)
25 + 35 + 40 = 100
Now we divide :)
35/100 = 0.35 = 35%
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
30%
Step-by-step explanation:
You Do it
Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium
Answers
The pints of water left in the aquarium is 2.5 pints
Converting cups to pintUsing the conversion rule sho below:
1 cup = 0.5 pint
If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:
Total pint = 2 pints + 0.5 pint
Total pint = 2.5 pints
Hence the pints of water left in the aquarium is 2.5 pints
Learn more on pints and cups here: https://brainly.com/question/26941359