responder: 8/12
explicación: Si suma los dos numeradores, obtiene 8/12
evidencia: 7/12 + 1/12
7+1= 8/12
(x-5) divided by (x^2+3x-40)
Answer:
1/ x +8
*The 1 over x + 8
Answer:
[tex]\frac{1}{x+8}[/tex]
Step-by-step explanation:
Here is your original equation:
[tex]\frac{x-5}{x^{2} +3x-40}[/tex]What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):
[tex]x^{2} +3x-40[/tex]
Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.
Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)
We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.
[tex]x^{2} +3x-40 = (x+)(x-)[/tex]
Next, let's look at the factors of 40:
1 and 40 2 and 20 4 and 10 5 and 8
Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!
[tex]8-5=3[/tex]In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].
[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]Now let's go back to our original equation and substitute our old expression with the new one:
[tex]\frac{x-5}{(x+8)(x-5)}[/tex]Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].
[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]Therefore, your simplified answer is [tex]\frac{1}{x+8}[/tex] !
Here's the whole process:
[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]
To check your answer, confirm your expressions using the box method attached.
I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!
please help ASAP with answers(geometry)
a. Given ∠1 and ∠2 are corresponding angles, if m∠1=56°, then m∠2 =
°
b. Given ∠3 and ∠4 are vertical angles, if m∠3=56°, then m∠4 =
°
c. Given ∠5 and ∠6 are a linear pair, if m∠5=56°, then m∠6=
°
d. Given ∠7 and ∠8 are same side exterior angles, if m∠7=56°, then m∠8=
°
Answer:
a. 56
b. 56
c. 124
d. 56
Step-by-step explanation:
help please please help me on this
Answer: It equal 6
Step-by-step explanation:
Graph of a diagonal line on a coordinate plane going up and to the right with x-axis and y-axis. Co-ordinates are (0,0) and (2,8).
Answer:
i need the answerrrrr
Step-by-step explanation:
Answer:
Step-by-step explanation:
can i get some help please
Which one is right *Will make BRAINLEST*
Answer:
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Step-by-step explanation:
Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.
If a,b and c are three numbers then associative property for multiplication can be given as:
a.(b.c) = (a.b).c
The given expression is:
[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]
Applying the associative property for multiplication we get
[tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Hence,
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
What is the domain of the function in this table
The main fuction is mulitiply by 2 each 1 point
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
12x + 9y = -45
Answer:
y=[tex]-\frac{4}{3}[/tex]x -5
Step-by-step explanation:
9y=-12x-45
y=-12/9x-5
y= -4/3x-5
A cheetah runs at an average speed of 50 mph between two jungles that are 150 miles apart. An antelope runs at an average speed of 30 mph, a lion runs at an average speed of 25 mph, and an elephant runs at an average speed of 15 mph.
The constant variation is ?
Answer:
cheetah: 3 hours
Antelope: 5 hours
Lion: 6 hours
Elephant: 15 hours
Step-by-step explanation: i choose these answers because of the amount of time it takes for each animal to run 150 nonstop
50*3=150
30*5= 150
25*6= 150
15*10= 150
Answer:
Cheetah: 3 hours
Antelope: 5 hours
Lion: 6 hours
Elephant: 10 hours
Step-by-step explanation:
EXTRA POINTS PLEASE HELP I NEED IT WITHIN 1 HOUR I WILL MARK BRAINLIEST TYSM :)
You can just type it, you don't need to write it out on paper. You can if you want to though :)
Answer:
Step-by-step explanation:
1). segment AB ≅ segment CD 1). Given
2). segment FA ≅ segment EC 2). Given
3). ΔABF ≅ Δ DCE 3). HL
4). segment BF ≅ segment DE 4). Corresponding parts of congruent Δs
5). segment EF ≅ segment EF 5). Reflexive property
6). ΔDAF ≅ ΔBCE 6). SAS postulate
7). segment AD ≅ segment CB 6). corresponding sides of congruent Δs
I used word segment instead of dash above the letters.
If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase?
By what percent does the perimeter of the rectangle increase?
Answer:
10%
Step-by-step explanation:
We know Perimeter of rectangle
= 2 (Length + Width)
If width and length are increased by 10%
New length= L + 10/100L = (1.1) L
New width = W + 10/100W = (1.1) W
Perimeter = 2 [(1.1) L + (1.1) W]
Perimeter = 2 (1.1) (L + W)
Perimeter = (2.2) (L + W)
Increase in perimeter = 2.2 (L + W) - 2 (L + W)
The increase in Perimeter = 0.2 (L + W)
Percent increase
= 0.2 (L + W)/2 (L + W) × 100
= 0.2/2 × 100
= 0.1 × 100
= 10%
I hope this helped and if it did, please mark as Brainliest.
James is buying a pair of jeans that cost $39.99.If the price is discounted 40%,and the sales tax is 8%,what will James pay for the jeans?
Answer:
1.28
Step-by-step explanation:
plz mark brainlyest
Generate an equivalent expression for:
5(2x+3y)
plz asap also not a like high school answer i need this for a flip grid for class so please awnser quick I WILL GIVE BRAINIEST
Answer:
the answer is equal to 10x+15y
Write with fractional exponents. 6^5 square root x^2 y
Answer:
6xy^2/5 what im assuming is right
Step-by-step explanation:
If f(x) = 7, then x = ______ .
Answer:
x= -10
Step-by-step explanation:
Go to when y=7 and then find what point hits it. you'll find (-10, 7) hits that point. If you're not sure where x is, follow the point down the line until you reach the x axis to see where it lands
Answer:
Step-by-step explanation:
-9
Write the equation for f(x)=x^2
But flipped over the x-axis, shifted 4 units down, and shifted 1 unit to the left.
Will give brainliest for best answer :) tysm! <3
Answer:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=x^2[/tex]
And we want to write its equation after being: 1) Flipped over the x-axis, 2) shifted 4 units down, and 3) shifted 1 unit to the left.
To denote a flip over the x-axis, we multiply the function by -1. Hence:
[tex]f^\prime(x)=-x^2[/tex]
Is our function flipped over the x-axis.
To shift n units vertically, we simply add n to our function.
Since we are going 4 units downwards, we will add -4 to our function. Hence:
[tex]f^\prime(x)=-x^2-4[/tex]
Finally, to shift n units horizontally, we substitute our variable [tex]x[/tex] for [tex](x-n)[/tex].
Since we are shifting 1 unit to the left, n=-1. Hence, we will substitute [tex]x[/tex] for [tex](x+1)[/tex]. Therefore:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
So, our final function is:
[tex]f^\prime(x)=-(x+1)^2-4[/tex]
What will be the slope for (3,3) and (1,3)
Plzz Answer
first to answer correctly will get brainliest
Answer: 1/8
Step-by-step explanation:
Multiply by the reciprocal which would be 1/2, so 1/4x1/2 would be 1/8
Answer:
1/8
Step-by-step explanation:
1/4*1/2=1/8
Since you are multiplying, you flip the second fraction. So 2/1 becomes 1/2.
A train leaves LA at 2:00 pm and heads north at 50 mph. If the next train leaves the station three hours later and heads north at 60 mph, at what time will the second train catch up to the first train?
Answer:
https://brainly.com/question/6423861
Step-by-step explanation:
Use link and give me 5 stars and brainliest
CJ earned a score of 75% on his math quiz each question on the quiz worth one points in CJ got 18 question correct how many questions were on the quiz
Answer: 24 questions
Step-by-step explanation:
Let the number of questions on the quiz be represented by x. This means that 75% of x equals 18. We need to calculate x. This will be:
75% × x = 18
75/100 × x = 18
0.75 × x = 18
0.75x = 18
x = 18/0.75
x = 24
The quiz has 24 questions.
The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?
Answer:
32.8
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )
89.2 + x = 122 ( subtract 89.2 from both sides )
x = 32.8
Thus the fourth number is 32.8
Write the slope intercept form of the line that goes through points (5,6) and (2, 15)
Answer:
[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]
A skydiver with an open parachute descends at a constant speed. The altitude of the skydiver changes by -144 feet in 6 seconds
Answer:
-24
Step-by-step explanation:
If you decend -144 feet in 6 seconds, by 10 to get what you descend in 60 seconds= -1440. Then divide -1440 by 60 to get -24 feet each second.
Answer:-24
Step-by-step explanation:
If you decend -144 feet in 6 seconds, by 10 to get what you descend in 60 seconds= -1440. Then divide -1440 by 60 to get -24 feet each second.
For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.
Answer:
8
Step-by-step explanation:
Answer:D is incorrect
WILL GIVE BRAINLIEST!!!! I just need the answer not a detailed explanation. Answer within 2 mins for brainliest.
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents. two to the three fourths power, all over two to the one half power
the eighth root of two to the third power
the square root of two to the three fourths power
the fourth root of two
the square root of two
Answer: ₄√2
Step-by-step explanation:
La empresa Computec se dedica a la producción de calculadoras, donde el costo de producir cada una es de $120 y los costos fijos semanales son de $15000. Además, la empresa vende cada calculadora al precio de $20. ¿Cuántas calculadoras debe producir y vender la empresa para obtener una utilidad semanal de $16?
Answer:
Unidades a vender= 388
Step-by-step explanation:
Dada la siguiente información:
Costo variable unitario= $120
Costo fijo= $15,000
Precio de venta= $200
Utilidad deseada= $16,000 (supongo)
Para calcular el número de unidades a vender, tenemos que usar está formula:
Unidades a vender= (costo fijo +utilidad deseada) / contribucíon marginal
Unidades a vender= (15,000 + 16,000) / (200 - 120)
Unidades a vender= 388
olve for x. 4x – 34 = 8x + 6 *
Solve for x. 4(-x + 1) + 4 = 6x + 10 *
How many solutions does this equation have? 2x + 7 = 4x - 10 *
No solutions
Infinitely many solutions
One solution
How many solutions does this equation have? -3x + 12 = 12 - 3x *
No solutions
Infinitely many solutions
One solution
How many solutions does this equation have? 5x + 10 = 5x - 23 *
No solutions
Infinitely many solutions
One solution
Answer:
no sloution
Step-by-step explanation:
Which of the following companies offers the greatest total employment compensation? Company A Company B Company C Company D Gross Pay $37,600 $36,800 $38,100 $39,000 Paid insurance $2,800 $2,400 $2,100 $1,800 Paid time off $3,100 $3,600 $2,900 $2,500 Job expenses $1,200 $600 $300 $800 a. Company A b. Company B c. Company C d. Company D Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
Ed2021
Company C offers greatest total employment compensation since, it has least job expenses as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.
What is the net pay?Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.
Company A
Gross pay=$37,600, Paid insurance=$2800, Paid time off =$3,100, Job expenses = $1,200
Company B
Gross pay=$36,800, Paid insurance=$2,400, Paid time off =$3,600, Job expenses = $600
Company C
Gross pay=$38,100, Paid insurance=$2,100, Paid time off =$2,900, Job expenses = $300
Company D
Gross pay=$39,000, Paid insurance=$1,800, Paid time off =$2,500, Job expenses = $800
Company C offers greatest total employment compensation since, it has least job expenses as compared to the other three and comparatively good gross pay.
Wherever in all other cases that is in gross pay, paid insurance, paid off company C is not that much legging behind
Company D has greatest gross pay but has greatest expense also
Company A is at second position in paying but also at 2nd in expenses.
Company B is least payer but do not have least expenses.
Company C offers greatest total employment compensation since, it has least job expenses as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.
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D'Andrea and Eden had a sit-up contest. D'Andrea did 176 sit-ups in 4 minutes. Eden did 215 sit-ups in 5 minutes. Which athlete did the most sit-ups per minute?
Answer:
Eden
Step-by-step explanation:
Answer:
it has D'Andrea
Step-by-step explanation:
Because here we are using direct variation and the formula is y=kx and k=y/x. I used k=y/x You divide 176 by 4 and you'll get 44 that's D'Andrea and the you divide 215 by 5 and you get 43 for Eden. you can see you does more sit up
PLZ help fast I need this I’ll give brainliest
Use the drop-down menus to complete each statement.
The equations x = 1 + 3t and y =-1 + 6t describe a line with a slope of
The equations x = 5 cost and y = 5 sint describe a
X2
A hyperbola with equation
.
= 1 can be parametrized similar to the circle and ellipse.
62
q?
if x = a sec t is one of the parmetric equations, the other will be y =
Answer:
1. 2
2.circle
3.b tan t
Step-by-step explanation:
The slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation x = 1 + 3t and y = -1 + 6t can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
In this case, m = 6, which is the slope of the line.
The equations x = 5 cos t and y = 5 sin t describe a circle.
These equations define the parametric form of a circle with a radius of 5 centered at the origin.
if x = a sec t is one of the parametric equations, the other will be y =b tan t
Hence, the slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t
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