The equivalent expression of 25 - 64 are "a), b) and c)"
The given expression is:
25 - 64
To find, the equivalent expressions are:
a) 25 + 40x - 40x - 64
= 25 - 64, is the equivalent expression.
b) 25 + 13x - 13x - 64
= 25 - 64, is the equivalent expression.
c) (5 + 8)(5 - 8)
Using the algebraic identity,
(a + b)(a - b) =
=
= 25 - 64, is the equivalent expression.
d) ( + 13)( - 13)
Using the algebraic identity,
(a + b)(a - b) =
=
= - 169, is not a equivalent expression.
e)
Using the algebraic identity,
, is not a equivalent expression.
∴ The equivalent expression of 25 - 64 are "a), b) and c)".
Answer: option A, B, C are equivalent to [tex]25x^4-64[/tex].
We check each option by simplifying:
A) [tex]25x^4 + 40x - 40x - 64 = 25x^4-64[/tex].
B) [tex]25x^4 + 13x - 13x - 64 = 25x^4-64[/tex]
C) [tex](5x^2 + 8)(5x^2 - 8)=(5x^2)^2-8^2=25x^4-64[/tex]
D) [tex](x^2 + 13)(x^2 - 13)=(x^2)^2-13^2=x^4-169[/tex]
E) [tex](5x^2 - 8)^2=(5x^2)^2-2(5x^2)(8)+8^2=25x^4-80x^2+64[/tex].
So option A, B, C are equivalent to [tex]25x^4-64[/tex].
Learn more: https://brainly.com/question/1214333
3x +y = 9.x, solve for x
Answer:
3-y=x
Step-by-step explanation:
Use the image below to answer the following question.
An image shows a diver crouching on a diving board labeled 1. The diver launching off the board is labeled 2. The diver just about to enter the water is labeled 3 The diver in the water feet above water is labeled 4.
At which position does the diver have the most gravitational potential energy?
Answer:
its a
Step-by-step explanation:
because iti s
which of the following is the equation of a line given the following
slope:5 and y-intercept: -3
a. y = -3x - 5
b. y = 5 + 3x
c. y = 5x - 3
d. y = -3x + 5
Answer:
C.
Step-by-step explanation:
Slope-intercept form is described as y=mx+b, where m = the slope, and b = the y-intercept. Since you are given these two numbers, just plug them into the slope-intercept form. This gives you y=5x-3.
Which staternent is about the polynomial 3x ^ 2 * y ^ 2 - 5x * y ^ 2 - 3x ^ 2 * y ^ 2 + 2x ^ 2 after it has been fully simplified has 2 terms and a degree of 2 It has 2 terms and a degree of 3 . }has 4 terms and a degree of 2 . It has 4 terms and a degree of 4.
Answer:
The polynomial has 2 terms and a degree of 3.
Step-by-step explanation:
The given polynomial is [tex]3x^2y^2-5xy^2-3x^2y^2+2x^2[/tex].
On simplification, the polynomial becomes:
[tex]-5xy^2+2x^2[/tex]
Numbers of term=2
Degree=1+2=3
Hence, the polynomial has 2 terms and a degree of 3.
What is the Measure of angle ABE?
Lisa finds a treasure chest full of 1000 jewels: 600 emeralds, 300 sapphires, and 100 rubies. She stuffs her pockets full of jewels completely at random, but they can only hold 100 jewels. What is the probability that all 100 jewels she took were sapphires?
Given:
Total number of jewels = 1000
Emeralds = 600
Sapphires = 300
Rubies = 100 rubies
100 jewels she took randomly.
To find:
The probability that all 100 jewels she took were sapphires.
Solution:
Number of selected jewels = 100
Total number of jewels = 1000
We have to select 100 out of 1000.
So, the total number of outcomes [tex]=^{1000}C_{100}[/tex]
Number of sapphires = 300
We have to select 100 out of 300 sapphires .
So, the favorable outcomes [tex]=^{300}C_{100}[/tex]
Now,
[tex]\text{Required probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Required probability}=\dfrac{^{300}C_{100}}{^{1000}C_{100}}[/tex]
Therefore, the required probability is [tex]\dfrac{^{300}C_{100}}{^{1000}C_{100}}[/tex].
Solve. (2x - 6)< - 6 I cant figure out how to do this. Please help me
Answer:
Step-by-step explanation:
The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to be half as wide as it was originally. This resulted in a garden with a 34-foot perimeter. What is the area of the new smaller garden?
Answer:
60 square foot
Step-by-step explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden
[tex]2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29[/tex]
So,
length = x
width = y = [tex]29-x[/tex]
The length is reduced by 7 feet and the width becomes half.
New length = [tex]x-7[/tex]
New width = [tex]\frac{1}{2}(29-x)[/tex]
New perimeter = 34 foot
[tex]2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19[/tex]
So,
New length [tex]=x-7=19-7=12\,\,foot[/tex]
New width = [tex]\frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot[/tex]
Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot
The price of gas rose from $2.40 per gallon in january to $3.00 per gallon in April. What was the percent increase based on the original price?
A: 20%
B: 25%
C: 60%
D: 80%
Answer:
60%
Step-by-step explanation:
Answer:
C. 60%
Step-by-step explanation:
Write the equation of a line in the point-slope form with a slope of 2 and passes through the point (-5,2)
Answer:
y - 2 = 2(x + 5)
Step-by-step explanation:
Use the point slope form: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plug in the point and slope:
y - y1 = m(x - x1)
y - 2 = 2(x + 5) is the equation
Drag each equation to the correct location on the table.
Which equations have one solution and which have infinitely many solutions?
Answer: The 1st one is 1 soultion the 2nd one is 1 soultion the 3rd one is multiple soultion and the last one is multiple solution
Step-by-step explanation: hope I am right?
1=one 2=multiple 3=one 4=multiple
Find the value of [tex]\sqrt[4](16)^{-2}[/tex]
Will mark as brainliest to the best answer!!!
Given parameters:
Evaluate;
[tex]\sqrt[4]{(16)^{-2} }[/tex]
Now let us solve this;
[tex]\sqrt[4]{(16)^{-2} }[/tex];
the fourth root can be expressed as the power of [tex]\frac{1}{4}[/tex] ;
[tex]\sqrt[4]{(16)^{-2} }[/tex] = [(16)⁻²][tex]^{\frac{1}{4} }[/tex]
= (16)[tex]^{-2 x \frac{1}{4} }[/tex]
= (16)[tex]^{\frac{-1}{2} }[/tex]
= [tex]\frac{1}{16^{\frac{1}{2} } }[/tex]
= [tex]\frac{1}{\sqrt{16} }[/tex]
= [tex]\frac{1}{4}[/tex]
The solution is [tex]\frac{1}{4}[/tex]
need help please answer due tonight
Answer: I think 9
Step-by-step explanation:
2. The school auditorium holds 9216 people. The auditorium was full for all 4 performances
of the school play, How many people came to see the school play?
If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes if the standard deviation is 5 minutes? (Make sure to use a percentage!)
Answer:
0.82%
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (72 − 60) / 5
z = 2.4
Use a chart or calculator to find the probability.
P(Z > 2.4) = 1 − P(Z < 2.4)
P(Z > 2.4) = 1 − 0.9918
P(Z > 2.4) = 0.0082
Hence, the probability of time does it take longer than [tex]72[/tex] minutes if the standard deviation is [tex]5[/tex] minutes is [tex]0.82[/tex]%.
What is the 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.
Here given that,
If an hourglass takes an average of one hour to empty a full cycle.
Now, First find the z-score.
[tex]z = (x-[/tex] μ[tex])[/tex]/σ
[tex]z = \frac{72 - 60}{5}\\z = 2.4[/tex]
Now, using the calculator to find out the probability.
[tex]P(Z > 2.4) = 1 - P(Z < 2.4)\\\\P(Z > 2.4) = 1 - 0.9918\\\\P(Z > 2.4) = 0.0082[/tex]
Thus,
[tex]0.0082(100)=0.82[/tex]%
Hence, the probability of time does it take longer than [tex]72[/tex] minutes if the standard deviation is [tex]5[/tex] minutes is [tex]0.82[/tex]%.
To know more about the probability
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2x-3=3x+2 what is the answer
Answer:
x= -5
Step-by-step explanation:
First I took -2x out of -2x and -3x. Then I minused 2 from 2 and minused 2 from -3, which left me with -5=1x. I divided it out and got -5. Hope this helped!
Select the property that allows the statement 10 = y to be written y = 10.
Answer:
The commutative property :))
There are liquids of different densities together in a container. What will happen to the liquid with the lowest density?
It will move to the bottom.
O It will move to the top.
It will bubble out as a gas.
O It will form a solid.
[tex]\frac{x}{3} +\frac{2}{5} =-4[/tex]
Simplify -(x-2y) - y.
Answer:
-(x-y)
Step-by-step explanation:
-(x-2y) - y
-x+2y -y
-x+y
-(x-y)
The point-Slope form of a line that has a slope of , and passes through the point (3, 0) is shown.
Y-0 = 2(x – 3)
What is the equation in slope-intercept form?
ye
v=-X-
y = -x--
1=
X-
12
Answer:
y=1/4x-3/4
Step-by-step explanation:
You just multiply 4/3 by -3
Multiply. 17.2 x 3.6
Answer:
61.92
Step-by-step explanation:
i just used a calculator
I NEED HELP WITH THIS PLS Q1
Answer:
B. 80, -160
Step-by-step explanation:
The common ratio between these three numbers is -2.
-10 * -2 = 20
20 * - 2 = -40
-40 * -2 = 80
80 * -2 = -160
Solve for x, Solve for z, and Solve for y
Answer:
x=38 degrees, y=41 degrees, z=97 degrees
Step-by-step explanation:
The Triangle Angle-Sum Theorem states that all interior angles of a triangle will add up to 180 degrees.
Look at the triangle to the right. The missing value of x will complete the theorem, therefore the equation 59+83+x=180 will find x. x=38 when we solve the equation.
The triangle on the left has two missing variables, but since angles z and 83 degrees are supplementary to each other, we can make another equation z+83=180 since supplementary angles add up to 180 degrees. z=97 when we solve the equation.
Since we have z, we can now find the value of y given the Triangle Angle-Sum Theorem. The equation would be 42+97+y=180 so we can solve for y. y=41 when we solve the equation.
Answer:
x=38
z=97
y=41
Step-by-step explanation:
Graph on the number line x >-3
^
| there’s a line under the <
graph on the number line
x < -1
there’s a line under the <
Answer:
x>-3 means that x is anywhere from -2 to any positive number... I don't know if this helps at all but it's what I got from the question ask! <3
Step-by-step explanation:
Help me please an thank you
GIVING BRAINLIEST ASAP - explain why 1 plus 1 equals 2
Put a finger up. You have 1. Add 1 another finger by putting another finger up. If you count how many there are you get 2.
So 1+1 = 2.
Seriously though... why ask this.
Solve the system by using a matrix equation.
6x-9y= 3
3x-4y=7
a. (17,11)
b. (12, 14)
c. (18, 12)
d. (15, 10
The set of letters in the word statistics
Answer:
s, t, a, t, i, s, t, i, c, s
Step-by-step explanation:
Divide. Write the quotient in lowest terms. 5 2/3 DIVIDED BY 4 HELP ME PLEASE
Answer:
1.425
Step-by-step explanation:
if u round 2/3 up to .7, but if u don't it is 1.4
Answer:
1 5/12
Step-by-step explanation:
Hope this helps
