The expression which represent the factored form of 2x² - 25x + 63 is (x - 9)(2x - 7)
How to factorise an expression2x² - 25x + 63
check all that apply
O (X+9)(2x+7)
= 2x² + 7x + 18x + 63
= 2x² + 25x + 63
False
O (X - 9)(2x - 7)
= 2x² - 7x - 18x + 63
= 2x² - 25x + 63
True
O (X+7)(2X+9)
= 2x² + 9x + 14x + 63
= 2x² + 23x + 63
False
O (X - 7)(2x - 9)
= 2x² - 9x - 14x + 63
= 2x2 - 23x + 63
False
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Teresa invests $200.00. It earns 5% interest annually
Answer:
200 invests and 5% earned
Step-by-step explanation:
200 plus 5% is 210 dollars
Does the point (-1, 2) make the following equations true? i) y = -2x ii) y = x + 3
Answer:
i) True
ii) True
Step-by-step explanation:
Given :-
Point (-1, 2)
To Find :
Whether the point is a solution of :
y = -2xy = x + 3Solving :-
Substitute the value of the point in each of the equations.
=> y = -2x
=> 2 = -2(-1)
=> 2 = 2 [∴ The point makes it true]
=> y = x + 3
=> 2 = -1 + 3
=> 2 = 2 [∴ The point makes it true]
Answer:
true
Step-by-step explanation:
first, you take the y = -2x and plug that into y = x + 3. so your equation should be -2x = x + 3. you then solve for x which comes out to be -1. you then plug the -1 into y = -2x. your equation should be y = -2(-1). solve for y which equals 2. the point that you got from both equations matches the point from the equation given so it is true.
Mr. Andrew bought 15 boxes of crayons at the store to share with his students. Each box contains 64 crayons. Write an equation that represents c, the total number of crayons that Mr. Andrew bought. Use your equation to solve for the total number of crayons.
Answer: 960 crayons
Step-by-step explanation:
From the question, we are informed that Mr Andrew bought 15 boxes of crayons at the store to share with his students and that each box contains 64 crayons.
The equation that represents c, the total number of crayons that Mr. Andrew bought will be:
C = 15 × 64
= 960 crayons
The sum of the two numbers is 52 and the difference is 28. Calculate the numbers.
Let's set these two numbers as 'a' and 'b'
Now, let's set up equations based on the information known:
the sum of the two numbers is 52 --> a + b = 52the difference is 28 --> a - b =28Equations
a + b = 52 -- equation 1a - b = 28 -- equation 2Solve:
(Equation 1) + (Equation 2)
2a = 80
a = 40 -- equation 3
(Equation 3)
40 + b = 52
b = 12
So a = 40 and b = 12
Hope that helps!
A rectangular prism is completely packed with 54 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which of these best describes the volume of this rectangular prism?
Please help!
Answer:
The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27.
Unit cube = 1 x 1 x 1
Step-by-step explanation:
Hope this helps!
PLEASE HELP WITH GEOMETRY HW
Answer:
m<92⁰
Step-by-step explanation:
m<16 = 55⁰
m<20 = 55
55 + 33 =88
the sum of the inside of a triangle is 180⁰ so
180 - 88 =92
The second class railway fare for 240 Km of journey is Rs. 15. What would be the fare for a journey of 139.2 Km? pls answer my question..i will mark brainliest..
please mark me as brainlest
Sean bikes 5 miles south and then 3 miles west. What is the shortest distance back to Sean’s starting point?
pls help
Answer:
back 5 miles south west
Step-by-step explanation:
hope this help have a good day.
5. Ms. Martinville wants to order new Sharpies for
the classroom. At Walmart she can buy a package
of 16 Sharpies for $12.49 and on Amazon she can
buy a package of 24 Sharpies for $22.18. Where
should Ms. Martinville purchase her Sharpies in
order to get the best deal?
Pls help i need it!!!
Answer:
set up schools
Step-by-step explanation:
Factor the polynomial 4x4 – 20x2 – 3x2 15 by grouping. what is the resulting expression? (4x2 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 3) (4x2 5)(x2 – 3)
The resulting expression for the factor of the provided polynomial with the help of grouping method is,
[tex](4x^2-3)(x^2-5)[/tex]
What is polynomial equation?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial equation is,
[tex]4x^4 - 20x^2 -3x^2 +15[/tex]
Make the groups of the above equation by taking out, 4x^2 from first two terms and -3 from second equation.
[tex]4x^4 - 20x^2 -3x^2 +15\\4x^2(x^2- 5) -3(x^2 -5)[/tex]
Take out the common group to simplify further.
[tex](x^2-5)(4x^2-3)\\(4x^2-3)(x^2-5)[/tex]
Thus, the resulting expression for the factor of the provided polynomial with the help of grouping method is,
[tex](4x^2-3)(x^2-5)[/tex]
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Marcus' employee benefits include family health care coverage. He contributes 25% of the cost. Marcus gets paid weekly and $102 is taken out of each paycheck for family healthcare coverage. How much does his employer contribute annually for coverage?
Monthly amount, M = $102×4 = $408.
Also, yearly amount, Y = M×12 = $408×12 = $4896
It is given that 25% of the cost is contributed by Marcus.
Amount Marcus paid
[tex]=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224[/tex]
Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.
Hence, this is the required solution.
1x7x8x4x5x3x4x6x9x8x2x12x4x8x69x6x8x9x5x3xx6x7x4x3x87x0
Answer:
0
Step-by-step explanation:
when anything is multiplied by zero it equals 0
Jaine has saved 7 times as much
money as Jared has saved. Jaine has
saved $378. How much money has
Jared saved?
Answer:
$54
Step-by-step explanation:
If Jaine has $378, the opposite of 7 times would be dividing. So all you have to do is 378/7=54.
PLEASE HELP ILL GIVE BRAINLIEST AND THANKS
SOLVE THE SIMULTANEOUS EQUATION
3y=6x+3 and 3y=4x+6
Answer:
x=3/2, y=4Step-by-step explanation:
3y=6x+3
solve by substitution for 3y=6x+3
3y=4x+6
6x+3=4x+6
6x-4x=6-3
2x=3
x=3/23y=6x+3 ⇒ y=6x/3 + 3/3 ⇒ y=2x+1
y=2x+1 ( substitute x=3/2)
y=2(3/2)+1
y=3+1
y=4Can someone help me with this
Answer:
C) 3^3*x^-3
Step-by-step explanation:
okay, so let's just find the numerator and denominator separately
So 27 is equal to 3^3. Numerator done.
Now for the denominator:
You need to know the laws of indices, specifically the one which says that square root of something is the same as to the power of 1/2, where the 1 signifies the power of the number inside the root and the 2 is for the square root. This means that the cube root would be power of 1/3.
So here cube root of x^9, would be equivalent to x^9/3, which can be simplified to x^3/1 ---> x^3.
This leaves us with 3^3/x^3. However, this isn't an option. We need to simplify the divide part of the expression. We can do that by using another law of indices which states that anything to the power of a negative number is the same as 1 over that number. (For example, x^-5 = 1/x^5) If there are numbers in front of the x, then that number would replace the 1, such as the following example: 9x^-3 = 9/x^3.
In this question, our 3^3/x^3 could be changed using this law to give, 3^3*x^-3
I hope this made sense and was helpful :))
A company bought 28 desks for each
of its 17 offices. How many desks were
bought altogether?
Answer:
476
Step-by-step explanation:
THAT SHOULD BE 28*17 Wich is 476
Answer:
28 x 17 = 476
Step-by-step explanation:
It's saying it buys 28 desks for each office. Since there's 17 offices you have to add 28 17 times, so basically you multiply 28 by 17 and you get 476 which is the total number of desks bought.
ANSWER : 476 Desks
5. 3x – 4y = 12 for y
Answer:
y=3/4x-3
Step-by-step explanation:
subtract 3x from both sides: -4y=-3x+12
divide by -4: y=3/4x-3
What is a polynomial? And how do you identify if an equation is a polynomial?
Answer:
polynomial is a an algebraic expression with 2 or more terms
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
What are polynomials?[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
Polynomials are often sum of terms that are usually in the form :-[tex] \huge \sf \: a {x}^{2} + bx + c[/tex]
The powers in a polynomial are non-negative integer powers.Based on the number of terms in a polynomial, there are 3 types of polynomials. They are monomial, binomial and trinomial. Based on the degree of a polynomial, they can be categorized as zero or constant polynomials, linear polynomials, quadratic polynomials, and cubic polynomials.18 less than the product of 5 and a number
Answer:
5x-18
Step-by-step explanation:
18 less than the product of 5 and a number.
The product of 5 and a number is equal to 5x.
You then subtract 18 from the product and you get 5x-18
Answer:
5x-18
Step-by-step explanation:
Help me pls
What is the students error?
Answer:
first one;)
Step-by-step explanation:
Answer number 4 please
Answer:
A
Step-by-step explanation:
one circle for top of cylinder and one for the bottom
What is the equation of the function that is graphed as line a?
O y= 2 x-1
O y=-x-1
O y=-x
O y=3 x
please awnser quick :)
to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below for "a".
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{2+4}\implies \cfrac{-6}{6}\implies -1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-3=-1(x+4)\implies y-3=-x-4\implies y=-x-1[/tex]
Please match the fractions! pls pls pls Will mark BRAINALEST!
Answer:
See below.
Step-by-step explanation:
[tex]\frac{1}{12} +\frac{1}{6} = \frac{2 + 1}{12} = \frac{1}{4}[/tex]
[tex]\frac{1}{4} - \frac{1}{8}=\frac{2-1}{8} = \frac{1}{8}[/tex]
[tex]\frac{2}{3} +\frac{1}{3} = 1[/tex]
[tex]\frac{1}{2} - \frac{1}{6} = \frac{3-1}{6} = \frac{1}{3}[/tex]
Answer:
1/12 + 16 = 1/4
1/4 - 1/8 = 1/8
2/3 + 1/3 = 1
1/2 - 1/6 = 1/3
Step-by-step explanation:
1/12 + 1/6
LCM of denominators 12 and 6 = 12
1/6
Multiply 2 to both numerator and denominator,
1/6 * 2/2
= ( 1*2 )/( 6*2 )
= 2/12
1/12 + 1/6
= 1/12 + 2/12
= ( 1 + 2 )/12
= 3/12
12 = 3*4
3/12
= 3/( 3*4 )
= 1/4
1/4 - 1/8
LCM of denominators 4 and 8 = 8
1/4
Multiply 2 to both numerator and denominator,
1/4 * 2/2
= ( 1*2 )/( 4*2 )
= 2/8
1/4 - 1/8
= 2/8 - 1/8
= ( 2 - 1 )/8
= 1/8
2/3 + 1/3
= ( 2 + 1 )/3
= 3/3
= 1
1/2 - 1/6
LCM of denominators 2 and 6 = 6
1/2
Multiply 3 to both numerator and denominator,
1/2 * 3/3
= ( 1*3 )/( 2*3 )
= 3/6
1/2 - 1/6
= 3/6 - 1/6
= ( 3 - 1 )/6
= 2/6
6 = 2*3
2/6
= 2/( 2*3 )
= 1/3
The bill for the repair of a car was $357. The cost for the parts was $285. The cost of labor was $32 per hour. Use an equation to find out how long it took for the mechanic to repair the car?
Answer:
2.25 hours
Step-by-step explanation:
Hope this helps! sorry was a tad bit late
It took 2 hours and 15 minutes to repair the car.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that,
Total bill for the repair of car = $357
Let's say it took x hour to repair the car
So,
32x will be the labor cost
Now,
Labor cost + cost of parts = total bill
So,
32x + 285 = 357
32x = 72 ⇒ x = 2.25 hour
Now,
0.25 hour in minutes ⇒ 0.25 × 60 = 15 minutes.
Hence "It took 2 hours and 15 minutes to repair the car".
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slove the equation r+ 3 = (r - 5)
explain step by step please
Answer:
no solutions
Step-by-step explanation:
Solving
Step 1: Subtract 3 from both sides.
[tex]r+3-r=r-5-r[/tex] [tex]3=-5[/tex]Step 2: Subtract 3 from both sides.
[tex]3-3=-5-3[/tex] [tex]0\neq -8[/tex]Therefore, there are no solutions to this equation.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
No solution l
Solving steps:
=> R + 3= (r - 5)
=> [tex]r - r + 3 = r - r - 5[/tex]
=> [tex]3 = - 5[/tex]
Step 1: substract 3 from both side
=> [tex]3 - 3 = - 5 - 3[/tex]
Step 2: Subtract 3 - 3 and -5 - 3
=> 0 = - 8
Therefore this solution that have no solution Good luck and enjoy ^_^Can some one help me
Answer:
the answer is 21 because 3x7 is 21
How many pints are in 6 1/2quarts?
Answer:
13 pints I believe
Step-by-step explanation:
6.5 x 2 = 13
Answer:
Step-by-step explanation:
13
How do you solve this?
x + 9 = 12
please I'm begging yall
Answer:
x = 3
Step-by-step explanation:
x + 9 = 12
To solve the equation, we have to isolate 'x'.
To isolate x, subtract 9 from both sides.
x + 9 - 9 = 12 - 9
x = 3
Answer:
[tex]\boxed{\sf{x=3}}[/tex]
Step-by-step explanation:
The only thing you need to do to solve this problem is to isolate the term x from one side of the equation.
x+9=12
First, subtract by 9 from both sides.
[tex]\sf{x+9-9=12-9}[/tex]
Solve.
[tex]\sf{12-9=3}[/tex]
[tex]\boxed{\sf{x=3}}[/tex]
Therefore, the final answer is x=3.
I hope this helps you! Let me know if my answer is wrong or not.
2) Albert has a $16,000, six-year loan with an APR of 7.25%.
a. What is the monthly payment?
b. What is the total amount of the monthly payments?
c. What is the finance charge?
For a standard, year $16000 home/car loan 7.25% APR with payments due at the end of the month, calculate the monthly payment:
Calculate Months:
Your loan term is for years.
Months = 12 * Years
Months = 12 *
Months = 0
Now calculate monthly Annual Percentage Rate (APR):
APR = Annual APR
12
APR = 7.25
12
APR = 0.0060416666666667 <----- This is the effective interest each month.
Now calculate Annual Percentage Yield (APY):
APY = ((1+APR)12 - 1) * 100%
APY = ((1 + 0.0060416666666667)12 - 1) * 100%
APY = ((1.0060416666667)12 - 1) * 100%
APY = (1.0749582974213 - 1) * 100%
APY = 0.074958297421329 * 100%
APY = 7.5% <----- What you actually pay in interest with monthly compounding.
Calculate our monthly loan payment:
Monthly Payment = Loan Amt * APR
1 - (1/(1 + APR))n
Monthly Payment = 16000 * 0.0060416666666667
(1 - (1 /(1 + 0.0060416666666667))0
Monthly Payment = 96.666666666667
(1 - (1 / 1.0060416666667)0
Monthly Payment = 96.666666666667
1 - 0.99399461586250
Monthly Payment = 96.666666666667
1 - 1
Monthly Payment = 96.666666666667
0
Monthly Payment = 0
Now calculate the total number of payments you will make:
Total Payments = Monthly Payment * Months in the Loan
Total Payments = 0 * 0
Total Payments = $0.00
You will end up paying $0.00 - $16,000.00 = $-16,000.00 above the principal on this loan.