What are the solutions to the quadratic equation 4x^2= 64?
Ox=-16 and x = 16
Ox=-8 and x =8
Ox= -4 and X = 4
Ox=-2 and x =2
Answers
Answer:
x=4 or -4
Step-by-step explanation:
4 squared is 16, and 4 times 16 is 64
The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have,
given that,
the quadratic equation 4x^2= 64
now, we have to simplify the equation,
at first, take 4 common from both sides,
we get,
x^2= 16
now, taking square root on both side, we get,
x = ±4
Hence, The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.
To learn more on square root click:
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Related Questions
ab and bc length and midpoint
Answers
Jason earns $78,000 per year. If he is paid weekly what is his weekly pay?
Answers
In one week he's made $1,500
Answer:
1,500 fffffffffffffffffffffffffffffffff
The perimeter of a rectangle is 58 cm. The length is 4x cm, and the width is 9 cm. Find the value of x and write out an equation that you could set up to solve for x.
Answers
x=5
help meeeeeeeeeeeeee
Answers
Answer:
18
Step-by-step explanation:
basic math .... hopefully it helped
Answer:
18
Step-by-step explanation:
How much fertilizer containing 30% nitrogen should be mixed with a fertilizer containing 10% nitrogen to get 10L of a fertilizer containing 12% nitrogen?
Answers
Answer:
1L of 30% fertilizer and 9L of 10% fertilizer
Step-by-step explanation:
Let x = the amount of fertilizer containing 30% nitrogen.
Let y = the amount of fertilizer containing 10% nitrogen
x + y = 10 because the two fertilizers together will be 10L
0.3x will be the amount of nitrogen in the 30% nitrogen fertilizer, and 0.1y will be the amount of nitrogen in the 10% fertilizer. If you add those together, you will get 12% of the nitrogen in the 10L mixture. This makes this equation:
0.3x + 0.1y = 0.12(10)
0.3x + 0.1y = 1.2
Now we have our two equations.
x + y = 10
0.3x + 0.1y = 1.2
We can use substitution to solve this system of equations.
x = 10 - y
Substituting this into the second equation, we have:
0.3(10-y) + 0.1y = 1.2
3 - 0.3y + 0.1y = 1.2
3 - 0.2y = 1.2
1.8 = 0.2y
9 = y
10 - 9 = 1L
There will be 9L of 10% nitrogen fertilizer and 1L of 30% nitrogen fertilizer.
I need help please solve for x given that TSU ~ FSG
Answers
Answer: X = 4
Step-by-step explanation:
TS/FS = SU/SG
3x-2/5 = 6/3
3(3x-2) = 6* 5
9x - 6 = 30
9x -6 + 6 = 30 + 6
9x = 36
x = 36/ 9
x = 4
Answer:
[tex]x = \frac{9}{6}[/tex]
Step-by-step explanation:
The first step is figuring out what the scale factor is
since [tex]2 \overline{\rm US} = \overline{\rm GS}[/tex] we know the scale factor is two
The second step is setting up the equation then solving the equation
[tex]2(3x -5) = 5[/tex]
[tex]6x - 4 = 5[/tex]
[tex]6x = 9[/tex]
[tex]x = \frac{9}{6}[/tex]
If Frank builds a concrete rectangular walkway that is 4 feet wide by 1.5 feet deep, by 20 feet long from the house to the storage shed, what is the volume of concrete used to pave the walkway?
Feet Cubed
Answers
Answer:
120 ft
Step-by-step explanation:
Please review the full explanation below
Answer:
........................................................................................
Step-by-step explanation:
How are √25 and √-25 different in the terms of a solution for both? *
Answers
Answer:
For [tex]\sqrt{25}[/tex] it will be plus or minus [tex]\sqrt{5}[/tex]
For [tex]\sqrt{-25}[/tex] it will be plus or minus [tex]\sqrt{5i}[/tex]
Step-by-step explanation:
Well for [tex]\sqrt{-25}[/tex] it will be 5i
Because i = -1
Determine weather the following graph represents a function
Answers
Answer:
it doesn't because there are places where there are two y values which just doesn't work out.
I NEED HELP ASAP PLEASE AND THANK YOU.
Answers
Answer:
C
Step-by-step explanation:
Happy Holidays ❄️☃️
What is the product of -3 1/3 and -8 7/10
Answers
Answer:
29
I hope this helps!
Answer:
29
Step-by-step explanation:
2x^2 - 3x - 2 = X + 4
The equation is represented by the system shown
here.
Check all of the solutions to this equation
-1, 3, 7, (-1, 3), (3, 7)
Answers
Answer:-1 and 3
Step-by-step explanation:
Took it on edge :)
The required solution of the given equation is (3, -1) which is the correct option (C).
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
The equation is below represented by the system shown here.
2x² - 3x - 2 = x + 4
Rearrange the terms of variables and constants in the above equation
2x² - 3x - 2 - x - 4 = 0
Apply the arithmetic operation in the likewise terms,
2x² - 4x - 6 = 0
2x² - 6x + 2x - 6 = 0
2x(x - 3) + 2(x - 3) = 0
(x - 3)(2x + 2) = 0
(x - 3) = 0 and (2x + 2) = 0
x = 3 and 2x = - 2
x = 3 and x = - 1
Therefore, the required solution of the given equation is (3, -1).
Learn more about the quadratic function here:
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Determine the intercepts of the line.
x-intercept ( , )
y-intercept ( , )
Answers
Answer:
y-100
x-250
Step-by-step explanation:
because the lines are insecting the other lines on that line
Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?
Answers
Answer:
The graph shows no trend.
Step-by-step explanation:
See attachment for given graph
Required
What is true about the graph?
From the attached graph, the following points can be deduced:
The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreasesBecause of the highlighted points, it is safe to conclude that the graph shows no trend.
Answer:
D
Step-by-step explanation:
The parking fee at the amusement park is $15. Each
ride requires a ticket that costs $4. Grams spent $71
for her grandchildren. How many ride tickets did
Grams purchase?
Answers
Answer:
Step-by-step explanation:
Total money spent = 71
Parking fee = 15
71 - 15 = 56
Each ride costs = 4
Total rides = 56 ÷ 4 = 14 rides
HELP ILL GIVE BRAINLIEST AND THANKS
I think my teacher is sleep deprived
I have actually no idea how to do this- none of the answer choices seem to be correct or maybe i'm just... anyways help me!!!
Question: -4pv+ 9= -5
a.3.5
b. -14
c. -45
Answers
Answer:
B. -14
Step-by-step explanation:
sana maka tulong ako sayo
at ano ba ang grade nyo
Emily has 5 packs of gum. Each pack has 50 pieces of gum. If Emily eats 9 pieces of gum, how many pieces of gum are left in all? Emily that’s a lot of gum...
Answers
In AABC, AB=8, BC=10, and AC=12. Let M, N, and K be the midpoints of the sides of AABC. Find length of each side of AMNK.
Answers
Answer:
4,5,6
Step-by-step explanation:
A midsegment connects two midpoints, and this triangle would be made up of all midsegments. If we know that midsegments are half of the side length, then we can get our answer.
how do you write 2x simplified?
Answers
Answer:
Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.
Step-by-step explanation:
If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:
2x2−6x
2x2−6
2x2−3
3x−3
Answers
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
= 2x^2 - 6x
I WILL GIVE BRAIN THING
Use algebra tiles to model the expression and combine like terms. Complete the statements. x + x + x + x + 4 – 1 Combine the x tiles to get . Combine the integer tiles to get . The equivalent expression is . You can use to verify the expressions are equivalent.
Answers
Answer:
1) Combine the x tiles to get: [tex]\mathbf{4x}[/tex]
2) Combine integer tiles to get: 3
3) The equivalent function is: [tex]\mathbf{4x+3}[/tex]
4) If we Substitute any value of x both expressions will be equivalent
Step-by-step explanation:
We are given expression: [tex]x+x+x+x++4-1\\[/tex]
We need to complete following statements.
1) Combine the x tiles to get:
[tex]x+x+x+x\\=4x[/tex]
Combine the x tiles to get: [tex]\mathbf{4x}[/tex]
2) Combine integer tiles to get:
[tex]+4-1\\=3[/tex]
Combine integer tiles to get: 3
3) The equivalent function is:
[tex]x+x+x+x++4-1\\\\4x+3[/tex]
The equivalent function is: [tex]\mathbf{4x+3}[/tex]
4) If we Substitute any value of x both expressions will be equivalent
Verifying:
[tex]x+x+x+x+4-1=4x+3\\Let\: x = 1\\1+1+1+1+4-1=4(1)+3\\4+4-1=4+3\\7=7[/tex]
So, Both expressions are equivalent.
The answer is "4x" for the first box
"3" for the second box
"4x + 3" for the third box
And "Substitution" for the last box
You're Welcome!
PS: I want to thank the first person for answering, you are amazing,
thanks!
given the function f defined by the formula f (x)=2x+1 find the following:
evaluate f(-5)
f(-5)=
f(-5)=
f(-5)=
Answers
Answer:
f(-5)=-9
Step-by-step explanation:
f(x)=y
So knowing that -5 is equal to x plug it in
y=(2)(−5)+1
y=−9
If you have more questions just ask.
please answer thank u i give brainliest to best answer
Answers
Answer:
A, B, C,
Step-by-step explanation:
Just use a calculator...?
a)
[tex]2^-^2*2^8=\frac{1}{2^2}*2^8=\frac{2^8}{2^2}=2^8^-^6=2^6=64\\[/tex]
b)
[tex]3^-^5*3^1=\frac{1}{3^5}*3=\frac{3}{243}=\frac{1}{81}[/tex]
c)
[tex]4^4*4^-^3=\frac{4^4}{4^3}=4^1=4[/tex]
d)
[tex]5^3*5^-^1=\frac{5^3}{5^1}=5^2=25[/tex]
e)
[tex]6^-^8*6^-^6=\frac{6^6}{6^8}=6^-^2=\frac{1}{6^2}=\frac{1}{36}[/tex]
f)
[tex]8^2*8^-^4=\frac{8^2}{8^4}=8^-^2=\frac{1}{8^2}=\frac{1}{64}[/tex]
Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x) = √x-6
horizontal shift of 6 units left
horizontal shift of 6 units right
vertical stretch by a factor of 6
vertical shift of 6 units up
Which equation represents the transformation of f(x)=|x| when effected by a vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units?
g(x)= 1/3 |x−4| + 2
g(x)= 1/3 |x+4| − 2
g(x)= 3 |x−4| + 2
g(x)= 3 |x+4| + 2
Answers
Answer:
b
c
Step-by-step explanation:
First question: x - 6 means there is a shift to the right.
Second Question: substitute the given values into the original equation for appropriate transformations.
Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.
The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.For the first function the graph horizontal shift of 6 units right and for the second function when it is vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,
[tex]g(x)=3|x-4|+2[/tex]
Given-
The equation of the graph given in the problem is,
[tex]f(x)=\sqrt{x} [/tex]
Translation of the graphThe movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.
a) The equation of the graph when it is transferred is given as,[tex]g(x)=\sqrt{x-6} [/tex]
There is no change with the constant value. Thus the graph will not move in vertical direction. The change in variable of a unit result in the graph shift in horizontal direction.
As it shift -6 thus graph horizontal shift of 6 units right.
b) The given function is,[tex]f(x)=|x|[/tex]
Vertical stretch of 3 means multiply the function with unit 3.
[tex]g(x)=3|x|[/tex]
Horizontal shift to the right 4 units means the difference of 4 units in the variable,
[tex]g(x)=3|x-4|[/tex]
Vertical shifts up with 2 units means the addition of the constant 2.
[tex]g(x)=3|x-4|+2[/tex]
Hence, for the first function the graph horizontal shift of 6 units right and for the second function when it is vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,
[tex]g(x)=3|x-4|+2[/tex]
Learn more about the Translation of the graph here;
https://brainly.com/question/1870192
semejanza y congruencia
Answers
Answer:
English pls
Step-by-step explanation:
WHATS THE ANSWER PLEASE HELP QUICK
Answers
Answer:
y = -2
Step-by-step explanation:
When you see a horizontal line like this, it will always be " Y = something".
When you see a vertical line, it will always be "X = something".
You can see what that number will be by looking at where it crosses the X or Y axis!
The slope is zero so there is no x and the line intersects the y axis at -2 :)
Original: $100, Discount: 13%
Answers
Answer:
Step-by-step explanation:
$87
PLS HELP FOR A GRADE DUE TODAY BRUH PLS
Answers
Answer:
A Yes, because every x-vaule has a single y-vaule
Step-by-step explanation:
None of the points share a point on the x axis meaning none of them are directly vertical of each other they are all seperate from each other.
Answer:
A
Step-by-step explanation:
Use substitution to solve the system x=2y-5 and -2x+5y=11
Answers
Answer:
(-3, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x = 2y - 5
-2x + 5y = 11
Step 2: Solve for y
Substitution
Substitute in x: -2(2y - 5) + 5y = 11Distribute -2: -4y + 10 + 5y = 11Combine like terms: y + 10 = 11Isolate y: y = 1Step 3: Solve for x
Define original equation: x = 2y - 5Substitute in y: x = 2(1) - 5Multiply: x = 2 - 5Subtract: x = -3I BEG u pls answer this question.. im using my remaining points for these and i will give u brainliest if they are correct
Answers
Answer:
Step-by-step explanation:
1. Alternate interior angles. Inside the transversal and opposing sides
8. Set all three angles equal to 180, since they're supplementary
34+41+x = 180
180 = 75+x
105 = x