Answer:
The simplest form of [tex]\frac{14a^2}{24a}[/tex] is [tex]\mathbf{\frac{7a}{12}}[/tex]
Step-by-step explanation:
We need to write [tex]\frac{14a^2}{24a}[/tex] in simplest form.
We know the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Applying the rule:
[tex]\frac{14a^2}{24a} \\=\frac{14a^{2-1}}{24}\\Since \ 14 \ and \ 24 \ are \ divisible\ by \ 2 \\=\frac{7a^1}{12} \\=\frac{7a}{12}[/tex]
The simplest form of [tex]\frac{14a^2}{24a}[/tex] is [tex]\mathbf{\frac{7a}{12}}[/tex]
How many values of x solve the equation g(x)=2? How can you illustrate your answer on the graph? Remember, we are not looking for the exact x-values, only how many solutions
Answer:
3 solutions
Step-by-step explanation:
To solve g(x) = 2
The solutions are at the points of intersection of g(x) and y = 2
y = 2 is the equation of a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 2
If you draw the horizontal line using say (0, 2) and (2, 2)
Then g(x) intersects y = 2 at 3 places
Thus there are 3 solutions to g(x) = 2
-3mn+4m-3 when m=2 and n=-4
Answer:
29
Step-by-step explanation:
m = 2 and n = -4
-3mn + 4m - 3
-3(2)(-4) + 4(2) - 3
-6(-4) + 8 - 3
24 + 8 - 3
32 - 3 = 29
[tex]\huge\boxed{29}[/tex]
Solution Steps:______________________________
1.) Fill in the variables with the information given:[tex]-3(2)(-4)+4(2)-3[/tex]
- M = 2
- N = -4
2.) Multiply:[tex]-3[/tex] × [tex]2=-6[/tex][tex]4[/tex] × [tex]2=8[/tex]- The reason we multiply first is due to Order of Operations or PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
- When we see y(x) this just means whatever number or variable is before the parenthesis, you multiply it by that.
Equation at the end of Step 2:
[tex]-6(-4)+8-3[/tex]3.) Multiply again:[tex]-6[/tex] × [tex]-4=-24[/tex]- We do this once more because we had one last parenthesis.
Equation at the end of step 3:
[tex]24+8-3[/tex]4.) Add:[tex]24+8=32[/tex]Equation at the end of Step 4:
[tex]32-3[/tex]5.) Subtract: [tex]32-3=29[/tex]______________________________
is -5.5645 repeating irrational
Answer:
This number is neither repeating or irrational.
Step-by-step explanation:
An irrational number is a number with a never-ending decimal that does NOT repeat. This number would be considered rational.
4x3 what is 4x3 I really want to know
Answer:
The answer to 4x3 is 12
same as adding 4 thee times!
4 plus 4 plus 4 equals 12
Answer:
4X3=12
Step-by-step explanation:
It's like adding 4 3 times
A house sold for $275,100.00. The buyer's real estate agent earned a commission of $11,004.00, and the seller's real estate agent earned a commission of $6,877.50. What was the commission rate of each agent?
Answer:
Buyer's real estate agent's commission rate = 4%
Seller's real estate agent's commission rate = 2.5%
Step-by-step explanation:
Given that:
Amount for which the house was sold = $275,100.00
Earnings by buyer's Real Estate Agent = $11004.00
Earnings by seller's Real Estate Agent = $6,877.50
To find:
The commission rate of each agent = ?
Solution:
Commission rate can be calculated by finding the percentage for both the real estate agents with the amount for which the house was sold.
i.e.
[tex]\text{Rate of Buyer's agent } = \dfrac{\text{Earnings of Buyer's agent}}{\text{Amount for which the house was sold}}[/tex]
[tex]\Rightarrow \dfrac{\$11004.00}{\$275,100.00}\times 100 = 4\%[/tex]
[tex]\text{Rate of Seller's agent } = \dfrac{\text{Earnings of Seller's agent}}{\text{Amount for which the house was sold}}[/tex]
[tex]\Rightarrow \dfrac{\$6,877.50}{\$275,100.00}\times 100 = 2.5\%[/tex]
Therefore, the answer is:
Buyer's real estate agent's commission rate = 4%
Seller's real estate agent's commission rate = 2.5%
hello i need help.....
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours. Enter the correct function in the box.
C = 6 + [tex]12^{x}[/tex]
The required function to model the cost is given as c = 6h + 12h.
Given that,
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. To write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
According to the question,
Rent on a wetsuit for h hours = 6h
Rent on a surfboard for h hours = 12h
Total rent, c = 6h + 12h
Thus, the required function to model the cost is given as c = 6h + 12h.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
Section 1 - Question 9
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational
Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Which statement BEST describes who is correct?
А
Frankie is correct because the 20 is 10 which is a rational number.
B
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates
С
Both students are correct because 20 is a rational number.
D
Neither student is correct because 20 is an irrational number
©2020 Illuminate Education,
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.
Given that,
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational. Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.
Here,
20 is a rational number but its square root is not 10 so, Frankie is not correct.
The square root of 20 falls between 4 and 5 the decimal terminates. its true and Alejandro is correct.
Thus, Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.
Learn more about Rational numbers here: https://brainly.com/question/17450097
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what is the product of 2/3 multiplied by 3
Answer:
The answer is 2
Step-by-step explanation:
HOpe this helps
Answer:
4/3
Step-by-step explanation:
Lowest common denominator in 2/3 and 1/2
LCD = 6
Equivalent Fractions with the LCD
2/3 = 4/6
1/2 = 3/6
Keith rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 97 cents for each mile driven. Keith had to pay $137.30 when he returned the truck. For how many miles did he drive the truck? miles
Answer:
216 miles
Step-by-step
ex15.95+.73x=173.63
.73x=173.63-15.95
.73x=157.68
x=157.68/.73
x=216 miles driven.
PROOF;
15.95+.73*216=173.63
15.95+157.68=173.63
173.63=173.63
Answer: Keith drove the truck for 123 miles
Step-by-step explanation:
17.99+0.97m=137.30
Subtract 17.99 on both sides:
17.99-17.99+0.97m=137.30-17.99
0.97m=119.31
Divide 0.97 on both sides:
0.97m/0.97=119.31/0.97
m=123 miles
Plz help me!!!!!!!!!
Answer:
Perimeter is sum of all side,
Step-by-step explanation:
=2X+7 + 6X-5 + 4X+1
=12X+3
BUT VALUE OF X IS NOT GIVEN IN QUESTION
Answer:
9
Step-by-step explanation:
since all the sides are equal, set two of the sides equal to each other. I did 2x+7 = 6x-5
6x-2x = 7+5
4x = 12
x = 3
Then you multiply 3 by 3 because it is an equilateral. And you get 9.
I not a 100 percent sure. Hope this helped.
Find the slope of the line.
Help pleasee!!
Answer:
4/4
Step-by-step explanation:
y=4 x+1
4 hope that helps!!
don´t forget to thank and Brainliest.
If a tree casts a 10 foot shadow at the same time that a yard stick casts a 2 foot shadow, find the height of the tree.
Answer:
is 12 feet
Step-by-step explanation:
I need points dude!
A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that can represent this function.
Answer:
(x^4) - 64x
Step-by-step explanation:
zeros at 4 and 0 are the roots so can be factor as x*(x-4) and the multiplicity tels to what power you have to raise those factors
[tex]x^{1} *(x-4)^{3}[/tex] becuase multiplicity of 1 for root at 0, and multiplicity of 3 at root 4
now to write this in standard form
[tex]x*(x-4)^{3} = \\x*(x-4)(x^{2} +4x+16)= \\(x^{2} -4x)(x^{2} +4x+16) = \\x^{4} +4x^{3} +16x^{2} -4x^{3} -16x^{2} -64x = \\x^{4} -64x[/tex]
mary amd remesh share money into the ratio 11:3 of the difference between their share money is £80 how much did they share
Answer:
Step-by-step explanation:
110 pounds and 30 pounds, add that up and you get 140
The marked price of a machine is $1200. How much will it cost if there is a discount of 20%? *
Answer:
discount amount=20%of mp
=240
now sp=mp-discount=1200-240=960
What is the expression for "the sum of 8 times a number and two"?
Carolina is making punch for a party. She made 6 bowls of punch. Each bowl holds 2 1/2 gallons of punch. 1 gallon is equal to 4 quarts. She thinks each person will drink about 1 quart of punch. How many people will the 6 bowls of punch serve?
Answer:
60 people
Step-by-step explanation:
Bowls of Punch = 6
Each bowl holds 2 1/2 gallons of punch
6 bowls = 2 1/2 gallons × 6
= 5/2 × 6 gallons
= 30/2
= 15 gallons
6 bowls of Punch = 15 gallons of Punch
1 gallon = 4 quarts
15 gallons = 4 × 15 quarts
= 60 quarts
6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch
She thinks each person will drink about 1 quart of punch.
How many people will the 6 bowls of punch serve?
6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch
60 quarts of punch / 1 person
= 60 people
The 6 bowls of punch will serve 60 people
Is figure B and scale copy of figure A?
Answer:
Yes it is
Step-by-step explanation:
Determine the type of triangle that is drawn below. ASAP PLZZ!!!!!
Answer:
Isosceles right
Step-by-step explanation:
two same side and there's a right angle
Which expression is equivalent to 75 + 24?
3 (25+8)
25 (3 + 24)
5 (70 + 24)
3(75 +8)
Answer:
The expression that is equivalent to 75 + 24 is 3(25+8)
Step-by-step explanation:
When you add 75 and 24
you get 99.
The equivalent expression:
First you do what's in the paranthese. Add 25 and 8 is get 33. After you get that simply multiple 33 and 3 to get 99.
4. Factor Completely *
(1 Point)
5x3 + 40x2 - 2x - 16
Answer:
(x+8)(5x2−2)
Step-by-step explanation:
Hope this helps have a nice day :)
A 12-foot ladder leans against the wall makes an angle of 62.87 degrees with the ground. How high up the wall does the ladder reach?
Answer:
10.68 ft
Step-by-step explanation:
sin(62.87)=x/12
12sin(62.87)
=10.68 ft
The table below shows the total number of hours, Jessica, Emily, and Trina, each studied after given number of weeks. Part A one of the relationships between weeks and total hours studied is proportional. Whose number of total hours studied is proportional to the number of weeks studied ? For the proportional relationship, write an equation to represent y, the total number of hours studied, in terms of x, the number of weeks. Explain how u determined your equation. Pls help
Answer:Y times X = 5
Step-by-step explanation:
Answer:
See attached
Step-by-step explanation:
Refer to attached
Only column 3 - Trina's numbers represent proportional relationship
Equation for it is: y = 2.5x
Calculation is provided on the table
iff (x) = 4x3 + 3x2 - 5x + 20 and g(x) = 9x3 - 4x2 + 10x - 55, what is (g- f)(x)?
13x3 - x2 + 5x - 35
5x3 + x2 + 5x + 35
ОА
OB
- 5x3 + 7x2 - 15x + 75
5x3 - 7x2 + 15x - 75
Answer:
(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]
Step-by-step explanation:
I'm so lost in trigonometry please help
Simplifying 84 - (16 - 8) + 5
Answer:
81
Step-by-step explanation:
use pemdas
Answer:
84-(16-8)+5
= 81
Step-by-step explanation:
Complete the steps to solve for x.
4
1
-X = 11
07
4
II
x = 11
20
II
(11)
20
i hope it helps u:)))))actually I'm pretty sure about it because
11/20x=11
x=11×20/11
(11 gets cancelled and 20 is left)
therefore x=20
and this proves my answer
did I get all of these right? feedback from experts please!
Answer:
ucf8riucfuvigruvufgv
Step-by-step explanation:
u7dfi8t57dch