Factor 4x2 - 1.
A) (2x + 1)(2x - 1)
B) (2x - 1)(2x - 1)
C) (4x - 1)(x + 1)
D) (4x + 1)(x + 1)
Answer: A) (2x+1)(2x−1)
How to: Since both terms are perfect squares, factor using the difference of squares formula,
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plz answer these questions without putting links and files
what is 3/4 multiplied by 1/2 then add 3/4
what is 1 and 1/8 multiplied by 1/2 then add 3/4
Answer:
11/8 and 21/16
Step-by-step explanation:
3 x 1 = 3
4 x 2= 8
3/8+3/4(convert to eighth's)
3/8+6/8=11/8
1 1/8 = 9/8
9 x 1 = 9
8 x 2 = 16
9/16+3/4(convert to sixteenth's)
9/16+12/16
21/16
---
hope it helps
=3/4 × 1/2 + 3/4
=3/8 + 3/4
=9/8
2nd questions ans
=1×1/2 + 3/4
=1/2 + 3/4
=5/4
Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know
Answer:
Grapes are less expensive
Step-by-step explanation:
First, find how much money 1 pound of each fruit is:
Bananas: $1.47 / 3 = $0.49
Grapes: $1.18 / 2 = $0.59
Compare:
0.49 < 0.59
So grapes are less expensive
Distributive property
2(x + 1)
Answer:
Multiply using the distributive property which will give you the answer 2x + 2.
Step-by-step explanation:
Answer:
2x + 1
Step-by-step explanation:
2 * (x + 1) |
\/
2x + 1
Plz help me well mark brainliest if correct!....
Answer:
the answer to the question is A
Analyze the table below and complete the instructions that follow.
A. A = 11, B = 39, C = 3, D = 8, E = 54
B. A = 22, B = 11, C = 5, D = 28, E = 54
C. A= 32, B= 17, C = 3, D= 8, E = 54
D. A = 22, B = 39, C = 3, D = 8, E = 54
Help! PLEASEEE! THANK YOU FOR HELPING BTW!
Answer:
Use the slope formula and slope-intercept form y = mx + b to find the equation you get:
y = 8x
If thats not what your looking for then for every 1 (x) you get 8 (y)
Step-by-step explanation:
you have the following coins in your pocket five quarters six dimes two nickels and 12 pennies what is the probability as a decimal you would draw a dime.
Answer: The probability of you drawing a dime is 0.24
Step-by-step explanation:
5 quarters, 6 dimes, 2 nickels, 12 pennies
5+6+2+12= 25
6/25= 0.24 or 24%
Answer:
0.24
Step-by-step explanation:
P(dime) = 6/25 which is 0.24
Jimmy spent $32.50 at the bowling alley. He spent $5 to rent shoes and the rest he spent on bowling l, which cost $5.50 per game. What are the 2 steps and how much games did jimmy bowl?
Answer:
First you do 32.50 - the 5 dollars he used to rent shoes. Then you would get 27.50, then you do 27.50- 5.50 per game. 27.50- 5.50- 5.50-5.50-5.50-5.50. He bowled 5 games total
Step-by-step explanation:
A jogger is going around a circular track with a radius of 100 ft. Determine the
ANGULAR speed of the jogger given that they run a lap every 3 minutes, to the nearest tenth. (recall:theta must be in radians)
Answer:
ω= 0.01 rad/s
Step-by-step explanation:
The given data is question is ,
r = 100ft .t = 3 min = 180s.Firstly let's find the linear speed. Which is
=> v = Circumference/time
=> v = 2πr/180s
=> v = 3.14 × 100ft ./ 90
=> v = 3.48 ft/s ≈ 1m/s
Now the angular speed and linear speed are related as follows ,=> v = r[tex]\omega[/tex]
=> [tex]\omega[/tex] = v/r
=> [tex]\omega[/tex] = 1/100
=> [tex]\omega[/tex] = 0.01 rad/s
Hence the angular speed is 0.01 rad/s.The length of a rectangular lot is 6 feet less than 3 times its
width. Its area is 222 square feet.
Its width is
feet and its length is
feet.
Answer:
Its width is 9.66 feet and length is 22.98 feet.
Step-by-step explanation:
Let l is length and b is width of a rectangular lot.
Length, l = (3b-6) feet
The area of the lot is 222 sq feet.
The area of a rectangle is given by :
[tex]A=lb\\\\222=(3b-6)b\\\\222=3b^2-6b[/tex]
It is a quadratic equation. The solution of the above equation is given by :
b = 9.66 feet and -7.66 feet
Neglecting negative answer, the width of the lot is 9.66 feet.
Length, l = (3(9.66)-6) = 22.98 feet
Hence, its width is 9.66 feet and length is 22.98 feet.
A right rectangular prism has a base with sides 6 cm and 8 cm. If the volume of the prism is 624 cm^3, find the height of the prism.
Answer:
H=13cm
Step-by-step explanation:
Volume=Length x Width x Height
V=624cm^3
L=8cm
W=6cm
8cm x 6cm= 48cm^2
624cm^3 divided by 48^2= 13cm
H=13cm
Hope this helps!
Write the equation of the line passing through the given points.
Answer:
a) y=4x-12
b) 4x-y=12
Step-by-step explanation:
1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4
2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12
3) rearrange into ax+by=c form
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180. The distribution of unrestrained compressive strength may be somewhat skewed. We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200. Test using α = 0.01.
Answer:
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Step-by-step explanation:
We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.
At the null hypothesis, we test if the mean is at the design value of 3200, so:
[tex]H_0: \mu = 3200[/tex]
At the alternate hypothesis, we test if it is less than the design value of 3200, so:
[tex]H_a: \mu < 3200[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
3200 is tested at the null hypothesis:
This means that [tex]\mu = 3200[/tex]
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.
This means that [tex]n = 50, X = 3120, s = 180[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]
[tex]t = -3.14[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.
With the help of a calculator, the p-value of the test is 0.0014
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
A package of colored paper contains 20 pieces of yellow paper. This represents 25% of the total pieces of colored paper in the package. 6.RP.3c Part A. Write 25% as a rate per 100 in simplest form. How many total pieces of colored paper are in the package?
Answer:
There were 80 pieces of colored paper in the package.
Step-by-step explanation:
Given that a package of colored paper contains 20 pieces of yellow paper, and this represents 25% of the total pieces of colored paper in the package, to determine how many total pieces of colored paper are in the package, the following calculation must be performed:
25 = 20
100 = X
100 x 20/25 = X
2,000 / 25 = X
80 = X
Therefore, there were 80 pieces of colored paper in the package.
PLEASE HELPI DON’T UNDERSTAND
X= -3 this solution is extraneous
X= 5 this solution is valid
There are 6 seniors on the high school soccer team. Two of them will be chosen to be co-captains. How many ways are there to choose the co-captains? Decide if this is a permutation or a combination, and then find the number of ways to choose the co-captains.
A. Permutation; number of ways = 30
B. Combination; number of ways = 15
C. Combination; number of ways = 30
D. Permutation; number of ways = 15
Answer:
B. Combination; number of ways = 15
Step-by-step explanation:
Since order doesn't matter, this is a combination:
6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15
Therefore, there are 15 possible ways to choose 2 co-captains out of 6.
Combination; the number of ways = 15.
Option B is the correct answer.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.
The number of ways to choose two seniors out of six seniors is given by the formula:
C(6,2) = 6! / (2! * 4!) = 15
Therefore,
Combination; the number of ways = 15.
Learn more about combination here:
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VERY URGENT PLEASE HELP!!!!
Rafael's gas tank is 1/2 full. After he buys 9 gallons of gas, it is 4/5 full. How many gallons can Rafael's tank hold?
Answer:
30 Gallons
Step-by-step explanation:
Ok, lets see the difference the 9 gallons of gas did to Rafael's gas tank.
1/2 --> 0.5
4/5 --> 0.8
0.8-0.5 = +0.3
The tank was made 30% more full with the gas.
Next, we can use this to find the amount of gas which would need to be used to fully fill the tank, given that it was empty.
So to make it easier, say we filled it up a third of 30% to get an easier to work with 10% of fill of the gas tank.
9 / 3 ---> 3 Gallons
Now, multiply this by 10 to get the 100%
3 * 10 = 30 Gallons
All done!
(5x + 10) + (2x -3) =
Answer:
7x + 7
Step-by-step explanation:
The _______ of a right triangle are the two sides of a right triangle that intersect to form the right angle
Answer:
legs
Step-by-step explanation:
Answer:
The Legs of a right triangle are the two sides of a right triangle that intersect to form the right angle
Step-by-step explanation:
Right Angle Triangle-Two legs plus a hypotenuse make up a right triangle. The hypotenuse is the longest side of the right triangle and the side opposite the right angle, and the two legs meet at a 90° angle. Right triangles come in a variety of shapes, including 45°-45° right triangles and 30°-60° right triangles.
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PLEASE HELP WITH THIS ASPA 3/8 divided by-3/5
Answer:
Step-by-step explanation:
Find the circumference of each circle with a diameter of 20 feet. use 3.14 as an estimate for pi
Answer:
62.8ft
Step-by-step explanation:
circumference= pie x diameter
pie=3.14
diameter=20ft
c=3.14 x 20ft
=62.8ft
PLEASE HELP ME ASP !!
Answer:
B
Step-by-step explanation:
if its a straight line, then just subtract from 180
180 - 84 = 96
What is the circumference of a circle with a diameter of 58 centimeters?
Step-by-step explanation:
by using the formula of circumference with diameter pie ×diameter
The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam
whar are the correct points
The function f is defined by the following rule
f(x)=3x-3
Complete the function table
x f(x)
-5
-1
1
2
4
Answer:-18
-6
0
3
9
Step-by-step explanation:
Due soon pls help - who ever answers get brainiest !
Answer:
D if it helps
Step-by-step explanation:
O2) Work out 30% of £5.80.
Answer:
1.74
Step-by-step explanation:
Multiply 5.80 times .30
Answer:
1.74
Step-by-step explanation:
To solve this, lets multiply the value by the percentage.
Our value is 5.8
And our percentage is 30%.
Lets convert this into a decimal, to do this, divide 30 by 100:
30/100
=
0.3
Now that we have the percentage in decimal form, multiply it by the 5.8:
5.8*0.3
=
1.74
This is your answer!
Hope this helps! :)