Answer:
4x^2−12x+9
If you have another question ask
The solution of expression is,
⇒ 4x² + 9 - 12x
We have to given that,
An expression to solve,
⇒ (2x - 3)²
Now, We can used the formula,
⇒ (a - b)² = a² + b² - 2ab
Hence, We get;
⇒ (2x - 3)² = (2x)² + 3² - 2×2x×3
= 4x² + 9 - 12x
Therefore, The solution of expression is,
⇒ 4x² + 9 - 12x
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a rectangle's length is three more than two times its width if the perimeter of a rectangle is 66 ft what is the measurement of the length
Answer:
The measure of the length is [tex]23\ ft[/tex]
Step-by-step explanation:
Let
x-----> the length of rectangle
y-----> the width of rectangle
we know that
The perimeter of rectangle is equal to
[tex]P=2(x+y)[/tex]
[tex]P=66\ ft[/tex]
so
[tex]66=2(x+y)[/tex]
Simplify
[tex]33=x+y[/tex] -----> equation A
[tex]x=2y+3[/tex] ----> equation B
Substitute equation B in equation A and solve for y
[tex]33=(2y+3)+y[/tex]
[tex]2y+y=33-3[/tex]
[tex]3y=30[/tex]
[tex]y=10\ ft[/tex]
Find the value of x
[tex]x=2(10)+3=23\ ft[/tex]
Answer:
The measure of the length is 23\ ft
Step-by-step explanation:
What solves the equation? (Needs to be simplified)
[tex]\bf \cfrac{4v+1}{6v^2-19v+10}\div \boxed{x}=\cfrac{4v-1}{3v-2}\implies \cfrac{~~\frac{4v+1}{6v^2-19v+10}~~}{x}=\cfrac{4v-1}{3v-2} \\\\\\ \stackrel{\textit{cross-multipying}}{\cfrac{~~\frac{4v+1}{6v^2-19v+10}~~}{\frac{4v-1}{3v-2}}=x}\implies \cfrac{4v+1}{6v^2-19v+10}\cdot \cfrac{3v-2}{4v-1}=x \\\\\\ \cfrac{4v+1}{(\underline{3v-2})(2v-5)}\cdot \cfrac{\underline{3v-2}}{4v-1}=x\implies \cfrac{4v+1}{(2v-5)(4v-1)}=x \\\\\\ \cfrac{4v+1}{8v^2-2v-20v+5}=x\implies \cfrac{4v+1}{8v^2-22v+5}=x[/tex]
The tires on your bicycle have a diameter of 9 inches. How many rotations does each tire make when you travel 300 feet? Round your answer to the nearest whole number.
9*3.14 = 28.26
(This solves for circumference)
300/28.26 = 10.6157
(This solves for rotations)
About 11 rotations.
A notebook costs $6.50 plus sales tax. After sales tax, the notebook is $6.89. What is the sales tax rate?
Answer:
6% tax
Step-by-step explanation:
6.89=6.5x
x=1.06
Answer
6%
Step-by-step explanation:
Pllllllzzzz Helpppppp!!!. I have class in an hour!!
Marcus is putting a border of mulch around a tree. The figure shows the top veiw of the mulch. The mulch is 3 in deep. Find the Volume of the mulch. (last problem shown in image.
Answer:
The volume of the mulch is [tex]528\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the mulch is equal to
[tex]V=Bh[/tex]
where
B is the area of the border of the mulch
h is the deep of the mulch
Find the area of the border B
The area of the border B is equal to the area of the complete square minus the area of the inside square
so
[tex]B=24^{2}-20^{2} = 176\ in^{2}[/tex]
we have
[tex]h=3\ in[/tex] -----> the deep of the mulch
substitute the values
[tex]V=(176)(3)=528\ in^{3}[/tex]
Which two expressions are equivalent? PLZ HELP
Answer: I'm pretty sure it's a or c. I think its c.
Step-by-step explanation: Cuz 3x + 4x = 7x times 4x = 28x then we have
12x + 16x = 28x
For which is 3 NOT an element of the range?
It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Adam should cover to get to the park?
The answer is:
The distance to over by Adam to get to the park is 108 miles.
Why?To solve the problem, we need to write two equations using he given information about the times and his speed.
So,
For the first equation we have: Travel to Disney Park
[tex]time=4hours[/tex]
[tex]Distance=v*4hours[/tex]
For the second equation we have: Travel back from Disnery Park
[tex]time=4hours-2.5hours=1.5hours[/tex]
[tex]Speed=v+45mph[/tex]
[tex]Distance=(v+45mph)*1.5hours[/tex]
Then, if Adam covered the same distance going and coming back, we have:
[tex]v*4hours=(v+45mph)*1.5hours[/tex]
[tex]v*4hours=v*1.5hours+45mph*1.5hours[/tex]
[tex]v*4hours-v*1.5hours=45mph*1.5hours[/tex]
[tex]v*2.5hours=67.5miles[/tex]
[tex]v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph[/tex]
We have that the speed when he was going to Disney Park was 27 mph.
Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.
Therefore, substituting the speed into the second equation, we have:
[tex]Distance=(v+45mph)*1.5hours[/tex]
[tex]Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles[/tex]
Hence, we have that the distance that Adam should cover to get to the park is 108 miles.
Havea nice day!
What is W’X‘ ? 8 units, 10 units, 12 units, 14 units
Answer: The answer is 12 units I remember this question from school.
The answer is 12 units.
Hope this helps!
The Run is the ___ Change between two points on a line
The run is the horizontal change between two points along a line.
Answer:
The run is a HORIZONTAL change between two point son a line.
Step-by-step explanation:
This is because when your slope is a fraction, run is over rise, and run is when you go upwards to be able to plot a point. Therefore, the run is horizontal.
There are 2 red shirts and 12 shirts in other colors. What is the probability that the next shirt will be sold in red?
Answer: 2 out of 14
Step-by-step explanation:
You have to do 2 plus 12 to get your total amount of shirts. Then since you only have 2 RED shirts the answer would be 2 out of 14.
Which equation is equivalent to 3x^2 + 24x + 15 = 0?
The equivalent equation to 3x² + 24x + 15 = 0 is 3(x² + 8x + 5) = 0. It was found by factoring the given quadratic equation.
Explanation:The equation you're asked to simplify is a quadratic equation, which has the form ax² + bx + c = 0. Here, a = 3, b = 24, and c = 15. The equivalent equation can be found by factoring the given equation.
The quadratic formula -b ± √b² - 4ac / 2a can be used to find the solutions of the equation, but we are asked to provide an equivalent form of the original equation. Factoring the original equation, we get: 3(x² + 8x + 5) = 0. That is the equivalent equation.
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The equation 3x^2 + 24x + 15 = 0 can be factored using the ac method. The factored form is (x + 3)(3x + 5) = 0. Solving the factored equations gives x = -3 and x = -5/3.
Explanation:The equation 3x^2 + 24x + 15 = 0 can be factored.
Start by finding two numbers that multiply to give ac (a = 3, c = 15) and add to give b (b = 24).
In this case, the two numbers are 3 and 5. So we can factor the quadratic equation as (x + 3)(3x + 5) = 0.
Setting each factor equal to zero, we get x + 3 = 0 and 3x + 5 = 0.
Solving these equations gives x = -3 and x = -5/3.
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Is a acute angle always in the socially’s triangle?
Answer:
Step-by-step explanation:
Do you mean an isosceles triangle? If you do then the answer is yes because two of the angles cannot be more that 90o. If they are the sum of the angles are going to be more than 180.
For example, if both angles in the isosceles triangles are 100 then the two angles will add up to 100 + 100 = 200 degrees. No triangle has 200 degrees in it.
Well how about 90.? Could two angles in a triangle have 90 each?
No because 90 + 90 = 180. There's no room for another angle.
So two angles of an isosceles triangle must be acute.
If this is not what you mean, please leave a not.
Let f(x)=e^x and g(x)=x+6. what are the domain and range of (g*f)(x)?
Answer:
(f of g)(x)=f(g(x))=f(x-3)=e^(x-3)
The domain of a real exponential function is all real, and
the corresponding range is y>0, i.e. (0,+∞)
Step-by-step explanation:
2gallons = _______ pints
There are 8 pints in a gallon, so there are 16 pints in two gallons.
2 gallons = 16 Pints
HELP PLEASE!! The following data shows the weight in ounces of 10 different bags of candy.
10, 3, 7, 3, 4, 21, 6, 10, 1, 2, 3.
After removing the outlier what does the mean absolute deviation of this data set represent???
A. On average the weight of a bag of candy varies 3.2 ounces from the mean of 4 ounces
B. On average the weight of a bag of candy varies 2.6 ounces from the mean of 5 ounces
C. On average the weight of a bag of candy varies 3.2 ounces from the mean of 5 ounces
D. On average the weight of a bag of candy varies 2.6 ounces from the mean of 4 ounces
Answer:
C.
Mean= 4.9
Mean Absolute Deviation (MAD): 4.099173553719
Step-by-step explanation:
An outlier is a value that is very different from the other data in your data set. This can skew your results. As you can see, having outliers often has a significant effect on your mean and standard deviation. Because of this, we must take steps to remove outliers from our data sets.
outlier: 21
Answer:
the answer is C :D
Step-by-step explanation:
Solve by factoring 3x^2-3x-60=0
Answer:
x = 5 or x = -4
Step-by-step explanation:
3x^2 - 3x - 60 = 0
Factor out 3 from the left side.
3(x^2 - x - 20) = 0
Divide both sides by 3.
x^2 - x - 20 = 0
Factor the trinomial.
(x - 5)(x + 4) = 0
x - 5 = 0 or x + 4 = 0
x = 5 or x = -4
PLease help mee with these math questions, please.
9^2 + B^2 = 18^2
81 + B^2 = 324
B^2 = 243
Square root 243
B =15.59
a driveway is 40 yards long. about how many meters long is it? HINT: ( a yard is 0.914 meter long)
Answer:
Driveway is 36.57 meters long.
Step-by-step explanation:
We are given the length of a driveway to be 40 yards and we are to find its length in meters.
We know that 1 yard is equal to 0.914 meter long. So we will simply multiply 40 by 0.914 to find the length of the driveway in the meters.
Length of driveway in meters = [tex]40 \times 0.914[/tex] = 36.57 meters
The required, driveway is approximately 36.576 meters long.
To convert yards to meters, we can use the conversion factor: 1 yard = 0.9144 meters.
Given that the driveway is 40 yards long, we can calculate its length in meters by multiplying 40 yards by the conversion factor:
40 yards * 0.9144 meters/yard = 36.576 meters.
Therefore, the driveway is approximately 36.576 meters long.
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3x +2y = 19
- 4x +3y = -14
Answer:
x = 5 and y = 2, or (5,2) (Whichever one you do in class)
Step-by-step explanation:
You should solve this problem using substitution!
First you want to solve for x on this equation, 3x + 2y = 19.
start by subtracting 2y on each side, 3x + 2y(-2y) = 19(-2y). 3x = -2y + 19
Then divide by 3, 3x/3 = (-2y + 19)/3, this would give you x = (-2y + 19)/3
Next you substitute (-2y + 19)/3 in for x in 4x + 3y = -14: 4(-2y/3 + 19/3) + 3y = -14
Then Solve: (See Math Papa Algebra Calculator if you want to know exactly how to solve.) This would give you y = 2
Then substitute the 2: giving you x = 5
To solve the system of equations, use the method of elimination. Multiply both equations by suitable constants to eliminate one variable and then solve for the other variable. Substitute the value of one variable back into one of the original equations to solve for the other variable. The solution to the system of equations is obtained by finding the values of x and y that satisfy both equations.
Explanation:The given question consists of a system of two linear equations:
3x + 2y = 19
-4x + 3y = -14
To solve this system, we can use the substitution or elimination method. Let's use the method of elimination:
Multiply the first equation by 3 and the second equation by 2 to eliminate the x variable: 9x + 6y = 57 and -8x + 6y = -28Subtract the second equation from the first equation to eliminate the y variable: 17x = 85Divide both sides of the equation by 17 to solve for x: x = 5Substitute the value of x back into one of the original equations to solve for y: 3(5) + 2y = 19https://brainly.com/question/27063359
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How to make these !!!!help me !! Urgente
The Pythagorean Theorem is
[tex]a^2+b^2=c^2[/tex]
Where a and b are legs and c is the hypotenuse.
If we had the measurements 27, 36, and 45...
[tex]a^2+b^2=c^2 \\ \\ 27^2+36^2=45^2 \\ \\ 729+1296=2025 \\ \\ 2025 = 2025[/tex]
So it is a right triangle because [tex]a^2+b^2=c^2[/tex]
The values of a, b, and c are given.
[tex]a=27 \\ b=36 \\ c=45[/tex]
Converse blanks: the sum of the legs squared is equal to the square of the hypotenuse; right.
a = 27, b = 36 (a and b can be switched), c = 45 --> the hypotenuse is always the longest side.
a² + b² = c²
Substitute: 27² + 36² = 45²
Simplify: 729 + 1296 = 2025
Simplify: 2025 = 2025
This is a right triangle because the sum of the lengths of the legs squared is equal to the length of the hypotenuse squared.
(also good note, the sides have a ratio of 3 : 4 : 5, which will always make a right triangle)
The radius of a sphere is 6 units. Which expression represents the volume of the sphere, in cubic units? π(6)2 π(6)3 π(12)2 π(12)3
Answer: [tex]\frac{4}{3}\pi (6)^3[/tex]
Step-by-step explanation:
The formula for calculate the volume of a sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where "V" is the volume of the sphere and "r" is the radius of the sphere.
In this case the radius of the sphere is 6 units. Knowing this radius, you can substitute into the formula [tex]V=\frac{4}{3}\pi r^3[/tex]
Therefore, you get that the expression that represents the volume of this sphere is:
[tex]V=\frac{4}{3}\pi (6)^3[/tex]
Answer:
4/3π(6)3
Step-by-step explanation:
Suppose f(x) = x^2. what is the graph of g(x) = f(2x)?
Answer:
C
Step-by-step explanation:
Substitute 2x into the equation where x is located. G(x)= (2x)^2=4x^2. This will be a graph which has been vertically stretched has a very steep curve to it facing up. It is C.
Plz help me with this
Answer: D) 10 sin (πx) - 5
Step-by-step explanation:
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
Plz help me with this
Answer: D) x⁻²
Step-by-step explanation:
x³ ÷ x⁵
= x³⁻⁵
= x⁻²
I need help on this I am just going to use the picture
Answer:
D
Step-by-step explanation:
let y = f(x), that is
y = [tex]\frac{2x-3}{5}[/tex]
Rearrange making x the subject
Multiply both sides by 5
5y = 2x - 3 ( add 3 to both sides )
5y + 3 = 2x (divide both sides by 2 ) , then
x = [tex]\frac{5y+3}{2}[/tex]
Change y back into term of x, hence
[tex]f^{-1}[/tex](x) = [tex]\frac{5x+3}{2}[/tex] → D
D is the correct answer
HELP ASAP ALGEBRA 2 please!!
Answer:
- 11 - 6x + 2x^2 +8x^3
Step-by-step explanation:
Usually polynomials are written in descending order, with the highest exponent value going first. In this problem, you need to find the lowest exponent value, and go up from there. After looking at all the answers, you can conclude that - 11 - 6x + 2x^2 +8x^3 is correct.
I hope this helps!
Answer:
D
Step-by-step explanation:
A polynomial in ascending order means the term of lowest degree is first, followed by terms of increasing degree
A constant has degree zero
A term with x has degree 1
A term with x² has degree 2
A term with x³ has degree 3 ... and so on, thus
- 11 - 6x + 2x² + 8x³ ← is written in ascending order
I am paying $60.00 a month for my service. I would like to upgrade to the $80.00 service package because my new employer offers a 20% discount with your company. What would be the cost difference compared to what I am paying now if I upgraded?"
Answer:
The cost difference is $4.
Step-by-step explanation:
Consider the provided information.
I am paying $60 a month for my service.
I would like to upgrade to the $80.00 service package because my new employer offers a 20% discount with your company.
If i get 20% of discount that means i need to pay only 80% of the original amount.
80% of 80 can be calculated as:
[tex]\frac{80}{100}\times 80[/tex]
[tex]0.8\times 80=64[/tex]
Therefore, now i need to pay $4 extra for the upgrade service.
Hence, the cost difference is $4.
the cost difference would be $4 more per month if upgrade is done.
First, let's calculate the cost of the $80 service package with a 20% discount:
[tex]20\%\ of\ 80 = \frac{20}{100} \times 80 = 16[/tex]
Now we need to subtract the discount from the original price = [tex]\$80 - \$16 = \$64[/tex]
Now, let's find the cost difference between the current $60 service and the discounted $64 service. This can be done by subtracting 60 from 64 which gives:
[tex]\$64 - \$60 = \$4[/tex]
Therefore, the cost difference would be $4 more per month if upgrade is done.
A particular lawn mower is on sale at two different stores the original price at both stores was $130. Watson’s garden shop is advertising the lawn mower for 50% off. Hartman’s home center reduced the mower 40%, and then took an additional 15% off the reduced price. Which lawn mower is the better deal?
Answer:
Watson's garden shop has the better deal on the lawn mower.
Hope this helped :)
Step-by-step explanation:
Watson's $130 - 50% = $65
Hartman's $130 - 40% = $78
$78 - 15% = About $66
Answer:
The deal of Watson’s garden shop is better.
Step-by-step explanation:
Given,
The original price = $ 130,
After 50% off,
The new price would be,
[tex]P_1=130\times \frac{(100-50)}{100}[/tex]
[tex]=\frac{130\times 50}{100}[/tex]
[tex]=\frac{6500}{100}[/tex]
[tex]=\$ 65[/tex]
While, after 40% off then additional 15% off,
The new price would be,
[tex]P_2= 130\times \frac{(100-40)}{100}\times \frac{(100-15)}{100}[/tex]
[tex]=130\times \frac{60}{100}\times \frac{85}{100}[/tex]
[tex]=\frac{663000}{10000}[/tex]
[tex]=\$ 66.30[/tex]
∵ 66.30 > 65
Hence, first deal is better.
solve for x. round to the nearest hundredth if necessary.
Answer: [tex]x=11.47[/tex]
Step-by-step explanation:
Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.
Therefore, you need to remember the following identity:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Then, knowing that:
[tex]\alpha=55\°\\adjacent=x\\hypotenuse=20[/tex]
You need to substitute these values into[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]:
[tex]cos(55\°)=\frac{x}{20}[/tex]
Now, you can solve for "x":
[tex]20*cos(55\°)=x\\x=11.471[/tex]
Rounded to the nearest hundreth:
[tex]x=11.47[/tex]