Answer:
(x-3)(3x-1)/((x-3)(x+2))
Step-by-step explanation:
An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.
__
To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).
[tex]\dfrac{3x-1}{x+2}=\boxed{\dfrac{(x-3)(3x-1)}{(x-3)(x+2)}=\dfrac{3x^2-10x+3}{x^2-x-6}}[/tex]
The value of the expression
[tex] \frac{a - c}{2} - 2b[/tex]
if a=-5, b=3, c=-1
is equal to?
What makes this undefined.
The expression is undefined when x=3 or -3
Solution:An expression is undefined when it's divided by 0.In order to make the denominator equal 0, we need to subtract 9-9. Notice that x is squared.So x times itself should equal 9. What number is it?That's right, 3.So we have9-(3)^2=9-9=0There's also another solution: x=-3 (-3•(-3)=9Hope it helps.
Do comment if you have any query.
Answer: The expression is undefined when x is 3 or -3
Step-by-step explanation:
The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.
[tex]9-x^{2} =0\\[/tex]
We want [tex]x^2[/tex] to be positive so divide everything by -1
[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]
Use difference of two squares (DOTS) to factor
[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]
So x cannot be 3 or -3
please find the area
the answer is 70.2 ft because u add them all together
Answer:
the area is 243
see the photo
factor each completely
m^2 + m - 90
Answer:
(m - 9) (m + 10)
Step-by-step explanation:
m² - 9m + 10m - 90
(m² - 9m) + (10m - 90)
m(m - 9) + 10 (m - 9)
Final answer;
(m - 9) (m + 10)
- You work in the human resources department of a
company. Per the employee benefits package, each
employee earns 1 and 1/2 vacation days per month. You
need to calculate the total number of vacation days
that an employee earns in a year. How many total
vacation days will an employee earn in a year?
Answer:
18 Days Off
Step-by-step explanation:
Firstly, to solve this question you have to identify how many months are in a year; that's 12. So now we know:
Each employee can take 1 1/2 days off in a monthThere are 12 months in a yearMaking a formula for calculation is the best way to do this, especially since we now have all of the information needed to answer.
VacationDays=1 [tex]\frac{1}{2}[/tex] × 12
Vacation days are the total number of vacation days in a year.
∴VD= 1 [tex]\frac{1}{2}[/tex] x 12
VD= 18
∴Total vacation days equal 18
Each employee gets 18 vacation days in a year.
1. Total Value of the Burgers
2. Cost of Fries per order
3. Quantity of the sodas ordered
4. Total Value of the Salad
5. Cost of Salad per order
Formula:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Answer:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Step-by-step explanation:
1) 35×23 = 805
2) 800/40=20
3)170/10=17
4) 2000-805-800-170=225
5)225/15=15
Hence answers
1)805
2)20
3)17
4)225
5)15
A paperweight in the shape of a rectangular prism is shown: A right rectangular prism is shown with length 10 cm, width 4 cm, and height 4 cm. If a cross section of the paperweight is cut parallel to the base, which shape describes the cross section? Rectangle Triangle Parallelogram Hexagon
Answer:
triangleStep-by-step explanation:
draw a square and cut it from the top right corner to the bottom left corner it makes a triangle
Equation 1
y = 5x + 32
Equation 2
4y = 28x + 184
First solve for X.
When solving this equation for x, what would you do next?
Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis
We use the order of operations, also known as PEMDAS.
Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.
After distributing, the equation looks like this and we can solve it from there:
4x + 12 = 30
Find the center and radius of the circle represented by the equation below.
(x − 13)² + (y + 11)² = 361
-
Center:
Radius:
Answer: Center: (13, -11)
Radius: 19
Step-by-step explanation: yeah
Scoopers ice cream shop sells one scoop of ice cream for $1.60. They sell three scoops for $4.80. How much money is needed to buy two scoops of ice cream?
Answer:
$3.20
Step-by-step explanation:
1.60 x 2 = $3.20
You need $3.20 to buy 2 scoops of ice cream.
Answer:
Step-by-step explanation:
Since the cost of one ice cream scoop is $1.60, you would either have to add $1.60 two times, or multiply 1.60x2.
$1.60+$1.60 or 1.60x2=$3.20.
Therefore, the answer to the question would be “$3.20 would be needed to buy two scoops of ice cream.”
which function has the same y-intercept as the one below
Check the picture below, so let's check the equations below hmmm
[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18
Answer: Subtraction property of equality
Step-by-step explanation:
They subtracted 6 from both sides to get AB=18.
Bryan is trying to catch up with his friends during a road trip they are 100 miles ahead of him and driving 50 mph Bryan is driving 75 mph to try and catch up
pls simplify this will give brainly and a lot of points!!!!! 5:00min
Answer:
More details please ._.
Step-by-step explanation:
[tex] \frac{{b}^{4} }{ {a}^{2} {c}^{2} } [/tex]
explanation:
There's 4 as in the denominator which cancels out the 2 in the numerator. Thus leaving you with 2 as in the denominator. Then there's only 1 b I the denominator which is canceled out by the ones in the numerator, leaving you with only 4 b's in the numerator. Finally there is only 1 c in the numerator which is canceled out by the ones in the denominator. Thus leaving you with 2 c's in the denominator.
please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C. y = 6x + 2
D. y + 2x = 6
We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)
It's easier to write the equation in Slope-Intercept Form, which looks like so:-
[tex]\boxed{y=mx+b}[/tex]
where m -> slope of the line & b -> y-intercept
Instead of m, you should plug in 6:-
y=6x+b
Instead of b, you should plug in 2:-
y=6x+2 ✓
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
im in nearpod
answer show wrk
Answer:15 boxes with 4 left over have a great day :)
Step-by-step explanation:
PLS HELP ASAP the area of the circle is 64pi square cm what is the radius of the circle in cm
8 cm
9cm
6cm
16cm
Answer:
8cm
Step-by-step explanation:
[tex]Here,\\\\Area(A)=64\pi cm^{2} \\Radius(r)=?\\\\As\:we\:have,\\\\\hookrightarrow Area=\pi r^{2} \\\\\hookrightarrow \frac{64\pi cm^{2} }{\pi } =r^{2} \\\hookrightarrow 64 cm^{2} =r^{2} \\\\\hookrightarrow \sqrt{64cm^{2} } =r\\\\\hookrightarrow 8cm=r\\\\\hookrightarrow r=8cm[/tex]
Answer:
[tex]\huge\boxed{\bf{radius_{circle} = 8cm}}[/tex]
Step-by-step explanation:
Given:-
[tex]\tt Area_{circle} = 64\pi cm^2 [/tex]To find:-
[tex]\tt radius_{circle} = ?[/tex]Ans:-
[tex]\sf \to Area_{circle} = \pi*r^2 [/tex]
[tex]\sf \to 64\cancel{\pi} cm^2 = \cancel{\pi}*r^2 [/tex]
[tex]\sf \to 64cm^2 = r^2 [/tex]
[tex]\sf \to r = \sqrt{64cm^2} [/tex]
[tex]\sf \to r = 8cm [/tex]
therefore [tex]\tt radius_{circle} [/tex] = 8cm
[tex]\: [/tex]
[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]
What are the zeros of the function f(x) = x2 + 7x – 18? Enter your answers in the boxes with your greatest answer first. The zeros of f(x) ar AN A/
Answer:
The answer is 2 and (-9)
Step-by-step explanation:
x² + 7x – 18 = 0
x² + 9x – 2x – 18 = 0
x(x + 9) – 2(x + 9) = 0
(x – 2) (x + 9) = 0
x = (2, -9)
Thus, The zeroes of the polynomial is 2 and (-9).
Abraham is three times as old as Sylvia.
In eight years' time, Abraham will be
twice as old as Sylvia. How old is
Abraham?
Answer:
24 years old
Step-by-step explanation:
let x = age of abraham, y = age of sylvia
x = 3y
x + 8 = 2y+16 => (2(y+8))
3y + 8 = 2y + 16
y = 8
x = 3(8)
x = 24
Please help me with the question below thanks.
p.s who every gives the right answer will be the brainliest :)
Answer:
200.96 inches squared
Step-by-step explanation:
lookie here! pretend the circle is a cookie. ok i love cookies. NOW IM MOTIVATED. lookie here, its just the way the cookie tear.
alright so your teacher told you that the area of a circle is 3.14 times the radius squared.
the radius here is 8 inches. 8 squared is eight times eight. that is 64.
cool. now 64 times 3.14 is:
200.96
amazing
(prepare to get hurt and mangled, like kurt angle, rookie year!)
i hope you have a swag day
How many angles are formed by intersecting roads? Number the angles
Answer:
When two lines intersect and form 4 angles at the intersection, the two angles that are opposite each other are called “opposite angles” or “vertical angles” and these vertical angles are “congruent” – meaning they have the same shape and size.
Step-by-step explanation:
Three faces of a cube are randomly selected. What is the probability that they have
a common vertex? Express your answer as a common fraction
The probability that they have a common vertex is 20%.
ProbabilitySince three faces of a cube are randomly selected, to determine what is the probability that they have a common vertex, the following calculation must be performed:
1x2/5x2/4 = X1x0.4x0.5 = X0.2 = XTherefore, the probability that they have a common vertex is 20%.
Learn more about probability in https://brainly.com/question/12540915
PLEASE HELP 50 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.
Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.
Answer:
4 inStep-by-step explanation:
Let the missing length is x.
According to Pythagorean, we have the following equation
[tex]x^2+3^2=5^2[/tex][tex]x^2+9=25[/tex][tex]x^2=25-9[/tex][tex]x^2=16[/tex][tex]x=\sqrt{16}[/tex][tex]x=4[/tex]Answer:
Missing length = 4 in
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 3 inb = ?c = 5 inSubstitute given values into the formula and solve for ?:
⇒ 3² + ?² = 5²
⇒ 9 + ?² = 25
⇒ ?² = 25 - 9
⇒ ?² = 16
⇒ ? = √16
⇒ ? = 4 in
Find the area of each regular polygon below. Round values to the nearest 0.01. Show work for all steps clearly.
The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.
Data;
apothem = 15Area of a HexagonThe area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.
Length of hexagon can be found using trigonometric ratio;
[tex]a = x\sqrt{3}[/tex]
Making x the subject of formula
[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]
And then the length of the side is 2x
[tex]s = 2 * 8660 = 17.32[/tex]
The perimeter of the hexagon is;
[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]
And the area is given as
[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]
The area of the hexagon is 779.4 squared unit.
Area of the pentagonThe area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.
Total area of a pentagon is 360 degree.
[tex]\theta = \frac{360}{10} = 36^0\\[/tex]
The area of a pentagon is given as
[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]
The area of the pentagon is 84.303cm^2
From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively
Learn more on area of polygons here;
https://brainly.com/question/1592439
Solve 64x2 - 121 = 0 using square roots.
Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.
How to solve quadratic equation using square root property?64x² - 121 = 0
add 121 to both sides of the equation
64x² - 121 + 121 = 0 + 121
64x² = 121
divide each term by 64 and simplify
64x² / 64 = 121 / 64
x² = 121 / 64
Take the square root of both sides of the equation to eliminate the exponent on the left side
√x² = ±√ 121 / 64
Simplify the right side of the equation.
x = ± 11 / 8
Therefore,
x = 11 / 8, - 11 / 8
learn more on square root property here: https://brainly.com/question/3506989
For a football game. Adult tickets are 8 dollars and student tickets are 5 dollars. The school sells 2570 tickets and makes a total of $19,060.
how many adult ticket were sold
how many student tickets were sold
How much will Audrey earn if she earns $13.00 for each hour worked , works 43 hours, and has payroll deductions of $167.70?
Answer:
391.3
Step-by-step explanation:
13x43=559
559-167.70=391.3
halp please. MY c-ptsd is acting up and i cant be a emo baddie rn
Answer:
24 square units
Step-by-step explanation:
Find three rational numbers between - 2 and - 3
And please write in step by step explination.
Step-by-step explanation:
follow these steps with tbe no. of -2 and - 3 you will come with answer
Answer:
- 21/10, -5/2 and -11/4.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero).
So three naumbers between - 2 and -3 are
-2.1, -2.5 and -2.75 which can be written as:
- 21/10, -5/2 and -11/4.