Solve the following quadratic function by utilizing the square root method. y = x2 - 64
Answers
Answer:
[tex]x=\pm\sqrt{y+64}[/tex]
Step-by-step explanation:
All you need to do is isolate the x.
First, add 64 to both sides:
[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]
Then, take the square root of both sides:
[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]
Actually, that is:
[tex]x=\pm\sqrt{y+64}[/tex]
Here's the reason for that. An example would be:
[tex]x^2=4[/tex]
Here, you'd take the square root of both sides to solve for x.
[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]
Right? But X could also be a -2, because a negative times a negative is a positive.
[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]
Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]
[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]
Related Questions
Solve the following
5 3/4 + (6 2/3 - 4 5/6) =
Answers
Answer:
7 5/12
Step-by-step explanation:
first, subtract 4 5/6 from 6 2/3 by converting 6 2/3 to 6 4/6
5 3/4 + (6 4/6 - 4 5/6) = 5 3/4 + 1 4/6
* I borrowed 6/6 or '1' from the 6 and made 4/6 into 10/6
5 3/4 equals 5 9/12 and 1 4/6 equals 1 8/12
adding them gives you:
6 17/12 which is the same as 6 + 1 5/12, or 7 5/12
The quotient of 7 and twice a number equals 5
Answers
Let the number be x.
[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]
Answer:[tex]x = \frac{7}{10} [/tex]
Hope it helps.
Do comment if you have any query.
In a factory, 53 workers receive a wage of 7,576 each per month. Find the total wages received by all the workers for one financial year. Also, find the annual wage of 1 worker.
Answers
Step-by-step explanation:
as you know, there are 12 months per year.
also, the word "annual" means "per year" (of again 12 months).
each worker gets 7,576 per month.
that means each worker gets an annual salary of
7,576 × 12 = 90,912
the salaries/wages of all 53 workers together in a year are then
90,912 × 53 = 4,818,336
PLS HELP, I WILL MARK U BRAINLIEST!How many natural numbers less than 200 are divisible by the given number.
4 but not divisible by 12.
Answers
Step-by-step explanation:
6, 9, 12, 18, 24, 27, 30, 36, 42, 45, 48, 54, 60, 63, 66, 72, 78, 81, 84, 90, 96, 99, 102, 108, 114, 117, 120, 126, 132, 135, 138, 144, 150, 153, 156, 162, 168, 171, 174, 180, 186, 189, 192, 198
I think that's your answer
Answer:
34
Step-by-step explanation:
numbers divisible by 4 :
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200
numbers divisible by 12 :
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192
numbers divisible by 4 but not by 12 :
4, 8, 16, 20, 28, 32, 40, 44, 52, 56, 64, 68, 76, 80, 88, 92, 100, 104, 112, 116, 124, 128, 136, 140, 148, 152, 160, 164, 172, 176, 184, 188, 196, 200
34
Can someone solve 33 and 34 for me
Answers
Answer:
33. 320 (D)
34. 5 (A)
Step-by-step explanation:
33.
(14+3+3) x (10+3+3)
17+3 x 13+3
17x16
320
34.
P(28)=x+x+(x+4)+(x+4)
28=4x+8
-8 -8
20=4x
/4 /4
5=x
Help me pleaseee asap !!!
Answers
Step-by-step explanation:
5x+3x-14=180
8x-14=180
8x=180+14
8x=174
x=174/8
x= 21.75°
if x is 21.75°, then 5x is 108.75°
which means 3x-14 is 51.25°
therefore, f +108.75+51.25=180
f = 180-160
f=20°
Could a circle have both a diameter of 7.2 inches and a circumference of 28 inches?
Answers
Answer:
no if the diameter was 7.2 inches the circumstance would be 22.62 :)
Paul was thinking of a number.Paul doubles it and gets a answer of 13.1.What was the orginal number?
Answers
Answer:
See below:
Step-by-step explanation:
So first, Paul has a number that he got before he multiplied it, we can call that [tex]p[/tex], and for his answer after doubling it. we'll call it [tex]n[/tex].
So with this information, we know that [tex]n=13.1[/tex] so we can use that to make an equation.
[tex]p*2=n\\p*2=13.1[/tex]
We can solve it by first dividing on both sides and getting our answer.
[tex]p=\frac{13.1}{2} \\p=6.55[/tex]
Cheers! We get our final answer of 6.55.
If you add the lengths of the focal radii of an ellipse, what other value will you produce?
Answers
Answer: the length of the major axis
Step-by-step found it on Quizlet and got it right on the quiz
If we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
What is the major axis of an ellipse?
The major axis of an ellipse is the line segment connecting the two vertices.
Since, the sum of focal distances of a point on ellipse is constant.
And it is equals to the length of major axis.
Hence, if we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
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Which inequality is a true statement?
Select each correct answer.
−4 = −5
−4 ≤ −5
−4 < −5
−4 > −5
−4 ≥ −5
Answers
Answer:
i think -4>-5
Step-by-step explanation:
because (-4)is greater than (-5)
You bought a shirt for $13.50 that was originally $45.00. In terms of percent, what discount did you get on the shirt?
Answers
Answer:
30%
Step-by-step explanation:
How would you solve for x and y and what are x and y? Not sure what to do.
Answers
Answer:
x = 26 2/3
y = 50
Step-by-step explanation:
you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles
2y - 3x = -3x + y + 50
add 3x to each side to get:
2y = y + 50
y = 50
also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line
3/2y + 25 - 3x = 180
subtract 25 from each side to get:
3/2y - 3x = 155
substitute 50 for 'y' to get:
3/2(50) - 3x = 155
75 - 3x = 155
-3x = 80
x = 26 2/3
Cristian comió un 3/8 de pizza y Adriana comió 1/4 de la misma pizza. ¿Quién comió mas?
Answers
Use this table of average number of three-point shots per game: graph the points, then choose the sentence that best describes this function.
Year Attempts
1991 28.0
1992 29.8
1993 33.0
1994 34.3
1995 34.0
Answers
Answer:
The average number of three-point shots has increased since 1991.
Step-by-step explanation:
i got it right on my test
plz give me brainlist if this helps :)
The average number of three-point shots has increased since 1991 option (A) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The table is given in the picture.
The graph is shown in the picture
From the graph,
The average amount of three-point shots has grown since 1991
1991 28.0
1992 29.8
1993 33.0
1994 34.3
1995 34.0
Thus, the average number of three-point shots has increased since 1991 option (A) is correct.
The options are:
The average number of three-point shots has increased since 1991.
The average number of three-point shots has remained unchanged since 1991.
The average number of three-point shots increased, then decreased greatly since 1991.
The average number of three-point shots has decreased since 1991.
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Blake delivers food for Uber eats. He charges customers a $3 delivery fee plus $0.25 per mile. Write a function that can be used to find t, the total Blake would charge if he delivered food that is m miles away
Answers
The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.
From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.
Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:
= 3 + (0.25 × m)
= 3 + 0.25m
In conclusion, the function is 3 + 0.25m.
Read related link on:
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find the slope and y intercept.
Answers
Answer:
slope: 2/3
y intercept: -1
Step-by-step explanation:
slope: rise/run
What is the solution to the equation 1/4x−3/4=1/2, given the replacement set {−1, 1, 5} ?
Answers
Answer:
x=5
Step-by-step explanation:
I took the test. Hope this helps
The solution of the given equation is when the x = 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}
First, substitute the values from the given set;
When x = -1
1/4x−3/4=1/2
1/4(-1) − 3/4 = 1/2
-1/4 - 3/4 = 1/2
-4/4 = 1/2
-1= 1/2
This is not the solution to the given equation.
When x = 1
1/4x−3/4=1/2
1/4(1) − 3/4 = 1/2
1/4 - 3/4 = 1/2
-2/4 = 1/2
-1/2 = 1/2
This is not the solution to the given equation.
When x = 5
1/4x−3/4=1/2
1/4(5) − 3/4 = 1/2
5/4 - 3/4 = 1/2
2/4 = 1/2
1/2 = 1/2
This is the solution to the given equation.
Learn more about equations here;
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please help with this question
Answers
Answer:
(B) $58.48Step-by-step explanation:
Total cost of nuts, including the discount and the tax:
(0.1 + 0.13 + 0.26)*20*[(100- 30)/100]*[(100 + 5.25)/100] = 7.22 (rounded)Total cost of bolts, including the discount and the tax:
(0.45 + 0.52 + 0.63+0.93)*35*[(100- 45)/100]*[(100 + 5.25)/100] = 51.26 (rounded)Total amount Carl paid:
7.22 + 51.26 = 58.48Correct choice is B
Solve each equation.
1. r-38= 9 _____
2. h+17=40 _____
3. n + 75= 155 ____
4. q - 17= 18 _____
Answers
Answer:
1. r - 38 = 9
=> r = 9 + 38
=> r = 47
2. h + 17 = 40
=> h = 40 - 17
=> h = 23
3. n + 75 = 155
=> n = 155 - 75
=> n = 80
4. q - 17 = 18
=> q = 18 + 17
=> q = 35
Step-by-step explanation:
Hoped this helped.
1) d= rt; t=8, d = 32
A) 24
B)0.3
C)4
D)40
Answers
Answer:
C) 4
Step-by-step explanation:
d = rt
plug in
t = 8, d = 32
32 = t(8)
Divide both sides by 8
4 = t
C) 4
(8)
slope?
y-intercept?
(9)
slope?
y-intercept?
Answers
9: slope is 7/4 and y-intercept is 0
Describe how Jason can check his answer
Answers
Describe how Jason can check his answer
Answer:The equation that was given in the question is:
[tex] - 8.5 \times - 3.5 \times = - 78[/tex]
Also,the value of x given is 6.5
Therefore, we'll put the value of x back into the equation and this will be:
[tex] - 8.5 \times - 3.5 \times = - 78 \\ - 8.5(6.5) - 3.5(6.5) \\ - 55.25 + - 22.75 \\ = - 78[/tex]
Therefore, the answer is correct
can someone please help me :)
Answers
Answer:
1/2
Step-by-step explanation:
We have 2 points, (1,3) and (9,7). So, the slope of the line is (7-3)/(9-1)=4/8=1/2
triangle interior angles theorem
answer and explain briefly
Answers
Answer:
x=62
Step-by-step explanation:
(x+1)+ x+55=180
-55 -55 (take away the 55)
(x+1)+ x= 125 (take out of parenthesis)
x+1+ x= 125
2x+ 1= 125 (add the two x's together)
-1 -1 (take away the one)
2x= 124 (divide by 2)
2
x=62
What is (-2) power 5?
Answers
Answer:
-32
PA BRAINLIEST
Step-by-step explanation:
Answer:
-32
Step-by-step explanation:
-2 to the power of 5 is -32
Jamall paid the rent well past the due date for the month of April May and June as a result he had been charge a total of $75 as a late fee how much does he have pay as late fee per month
Answers
Answer:
its In “Growing Up: Key Moments,” which piece of evidence best supports the author’s idea that challenging moments help people learn as they grow up?
Step-by-step explanation:
bc ez ez e yba better then aut
SOMEONE TELL ME WHAT THIS IS PLEASE ( much appreciated if you do help with this question )
Answers
Answer:
6x^8 y^5
Step-by-step explanation:
What is the value of H in the diagram below?
Answers
Answer:
The answer is 6.5
Step-by-step explanation:
It was a long process, but overall if you look at how long the segment x looks, it has to be less than half of the segment that is 30 units long so the only one that makes sense is 6.5
Mr.Thomson wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. Each barrier is 9 feet high. What is the combined area of the barriers
Answers
Answer:
300 ft
Step-by-step explanation:
pleassssssssssssssssssssse HELP QUICKLY PLEASSSSSSE
Answers
Answer:
7/6 or A
Step-by-step explanation:
2/3(9-6)-5/6= 7/6