Factorise
b) x + 3x - 40

Answers

Answer 1
4(x-10) .....................

Related Questions

can i have help i give you brainlest​

Answers

Answer:

x = 12 or 12:204

Step-by-step explanation:

You have to set it up like this....

Just cross multiply.

[tex]\frac{3}{51}*\frac{x}{204}[/tex]

You'll multiply

3*204 = 612  

51*x = 51x

612 = 51x (divide by 51 on both sides)

12 = x

12:204

Hope this helps!!!

Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200

Answers

Answer:

C

Step-by-step explanation:

500+450=950

What is the point slope form of a line that has a slope of 3 and passes through point (1, 4)?

Answers

Answer:

3x - y = -1

Step-by-step explanation:

y - y₁ = m(x - x₁)

substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m

y -4 = 3(x - 1)

distribute 3 to (x - 1)

y - 4 = 3x -3

isolate 3x by itself by adding 3 to both sides

y - 1 = 3x

subtract y from each side

-1 = 3x - y

and just flip around the equation to make it look nicer

3x - y = -1

What's 6+2x^2 in factored form?

Answers

Answer:

2 ( x^2 + 3 )

Step-by-step explanation:

Please help me!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer

Answers

Answer:

[tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

First, look at the graph and pick out two points that we can use for the slope equation. I see (0,2) and (-2,5) as two possibilities. Now, we just plug them into the slope equation. Remember that the slope equation is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

(the '2' and '1' are subscripts, not exponents)

Let's call our first point (0,2) x1 and y1. (-2,5) can be the second point.

If we plug this into the equation:

[tex]m=\frac{5-2}{-2-0}[/tex]

Now we just simplify and get

[tex]m=\frac{3}{-2}[/tex]

Our slope is [tex]-\frac{3}{2}[/tex].

I hope this helps!

I think it’s M=-3/2 have a great day

ASAP FOR BRAINLIEST!

Answers

Answer:

Slope is -1/4

Step-by-step explanation:

Goes down 1 and over 4 so -1/4

Graph the system of inequalities . Which two quadrants does the solution lie in?

someone help a brotha out

Answers

Answer:

Quads 1 and 2

Step-by-step explanation:

Option A or quadrants 1 and 2 is the correct answer:)

Prasitha has two buildings A and B. A is 10 feet shorter than the twice the height of B. The distance between the buildings is 120 feet and the height of B is 60 feet. Find the distance between their tops.

Answers

Answer:

The distance between their tops is 130 feet

Step-by-step explanation:

The given parameters are;

The height of A, [tex]h_A[/tex] = 2 × The height of B - 10

The distance between the two buildings, d = 120 feet

The height of B, [tex]h_B[/tex] = 60 feet

Therefore, we have;

The height of A, [tex]h_A[/tex]  = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet

The height of A, [tex]h_A[/tex] = 110 feet

By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)

Substituting the values gives;

The distance between their tops = √((110 - 60)² + 120²) = 130

The distance between their tops = 130 feet.

A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.

Answers

Answer:

Step-by-step explanation:

Volume of the cuboid = Length * Width * Height

Given

Length = 4cm

Width = (x+1)cm

Height = (x-11)cm

Volume of the cuboid = 4(x+1)(x+11)

Volume of the cuboid = 4(x^2+11x+x+11)

Volume of the cuboid = 4(x^2+12x+11)

Volume of the cuboid = 4x*2+48x+44

925 = 4x*2+48x+44

4x*2+48x+44-925 = 0

4x*2+48x-881 = 0

Divide through by 4

x^2 + 12x - 220.25 = 0

Factorize using the general formula;

x = -12±√12²-4(-220.25)/2

x = -12±√144+881/2

x = -12±√1025/2

x = -12±32/2

x = 12+32/2

x = 20/2

x = 10

Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm

Dimension is 4cm by 11cm by 21cm

Write the equation of a line that passes through (-4, 5) and (-4, 11)

Answers

Answer:

x=-4

Step-by-step explanation:

Both points are on same line x=-4

1)
Which number is NOT in the solution set of x + 8 > 15?
A)
6
B)
8
C)
10
D)
12

Answers

Answer:

A) 6

Step-by-step explanation:

x + 8 > 15

x > 15 - 8

x > 7

8, 10, and 12 are all greater than 7. 6 is NOT

Answer: is A because 6+8=14 when the rest of the choices are bigger then 15

Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

FGH and m FGH =(7x-9)
m HGJ = (2x + 36)
Find m FGH

X = 14
7x16 112

2x16 32+36 68
68+112= 180

The answer is x = 16

Give brainest pls

please tell me the answer

Answers

Answer: D

Step-by-step explanation:

I solved it:)

HELP ME PLZZ I NEED HELP WITH THIS AND MAKE SURE YOU EXPLAIN!!!!!!!!!!!!!!!!

Answers

Answer:

C. 7/9 and 0.7 (with bar notation)

Step-by-step explanation:

The division keeps going with the remainder as 7 and 9 can only go into 70 with a 63 so to show the 7 keeps going you would have to use bar notation above 7.

___________ is the measure of the value of a section of the stock market and is computed from the price of selected stocks.​

Answers

Answer:

stock index

Step-by-step explanation:

Answer:

stock index is the measure of the value of a section of the stock market and is computed from the price of selected stocks.​    (Please mark me brainliest)

Step-by-step explanation:

D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.

Answers

Answer:

Step-by-step explanation:

D = { - 4 , 0 , 2 , 7 }

R = { - 8 , - 1 , 3 }

Yes the relation is a function.

A health insurance policy requires that each
person covered pay the first $300 of a bill and
then 0.2 times the rest of the bill. Fran is
covered by this policy and had to pay $500.
What was her total bill?

Answers

she has to pay 340 dollars

Can anyone help me with this plzz?

Answers

Answer:   12pi

===========================================================

Explanation:

Check out figure 1 in the attached images below. In this figure, I've plotted the function y = 6/(2x-3) on a 2D grid system. The function curve is in blue. Then I've plotted (2,0) and (3,0) on the x axis. Point A is somewhere between those endpoints. Point A is also on the x axis. Directly above A is point B such that B is on the blue function curve.

The distance from A to B is found by subtracting the y values of each point.

The y coordinate of A is y = 0. The y coordinate of B is y = 6/(2x-3)

Therefore, the distance from A to B is 6/(2x-3) units. This will form the radius of each cylindrical slice as figure 2 shows. Note the color coding to help see how the 2D view corresponds to the 3D view. The xy plane has been laid flat on the floor. So we're viewing the function curve at a downward angle now. Each of those gray cylinders combine to form an approximate 3D volume. The more cylinders we have, and the finer the cuts, the more accurate the total volume.

So it comes down to finding the volume of each cylindrical slice and adding up the volumes. This is effectively what integral calculus is all about.

------------------------------------

Since the radius of each cylinder is y = 6/(2x-3), this means r = 6/(2x-3) is plugged into the formula

V = pi*r^2*h

which is the volume of a cylinder formula

The height of each cylinder is delta x, which we'll use dx for short. So this is where the dx comes from in integrals.

This is what the integral will look like

[tex]\displaystyle V = \int_{2}^{3} \pi*\left(\frac{6}{2x-3}\right)^2dx[/tex]

which turns into

[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx[/tex]

after a bit of algebra. We're able to factor the 36pi out because it's a constant

From here we use u-substitution. Let u = 2x-3

This leads to du/dx = 2 which can be solved to dx = du/2

Since u = 2x-3, the lower endpoint x = 2 leads to

u = 2x-3 = 2*2-3 = 1

and x = 3 leads to

u = 2x-3 = 2*3-3 = 3

So the interval 2 < x < 3 turns into 1 < u < 3

After using u-sub, making the proper replacements, and integrating, we get

[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx\\\\\\\displaystyle V = 36\pi\int_{1}^{3}\frac{1}{u^2}\frac{du}{2}\\\\\\\displaystyle V = 36\pi*\frac{1}{2}\int_{1}^{3}\frac{1}{u^2}du\\\\\\\displaystyle V = 18\pi\int_{1}^{3}u^{-2}du\\\\\\\displaystyle V = 18\pi\left[-u^{-1}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\[/tex]

Let's evaluate that to get the following

[tex]\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[\left(-\frac{1}{3}+C\right)-\left(-\frac{1}{1}+C\right)\right]\\\\\\\displaystyle V = 18\pi\left(-\frac{1}{3}+1\right)\\\\\\\displaystyle V = 18\pi\left(\frac{2}{3}\right)\\\\\\\displaystyle V = 12\pi\\\\\\[/tex]

So the 3D volume formed by rotating that region (under the curve from x = 2 to x = 3) is exactly 12pi cubic units

if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000​

Answers

Answer:

20 mobile sets.

Step-by-step explanation:

Every mobile set costs:

40000 / 8

= 5000 Rs.

Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:

100,000 / 5000

= 20 mobile sets.

Hope this helped!

People with a brain in Health I need you

Why does my knee and hip keep popping out of its place as it hurts in the weirdest way i don't know if i should go to the hospital or not

and if I play basketball and football and track and volleyball it will pop out randomly but not soccer it is so weird and i donno whatta do


A Knee sleeve doesn't even work why? ughhhh I am bouta lose it

i will go to the gym and it will literally make me collapse....

Answers

Answer:

That ain't normal

Step-by-step explanation:

Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the afternoon. What is the approximate percent increase for the day so far?

A. The percent increase is approximately 31%.

B. The percent increase is approximately 45%.

C. The percent increase is approximately 68%.

D. The percent increase is approximately 82%.

Answers

Answer:

C

Step-by-step explanation:

If you  find the difference between 45 and 31, you find the increase. Take that and make it a percentage of 68. I hope this helped! Have a great day.

What is the solution to the equation represented by the model below?

3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
x = negative 14
x = negative 2
x = 2
x = 14.

Answers

Answer:

Therefore, the correct option is;

x = 2

Step-by-step explanation:

Let x represent the number of tiles, and let 1 represent the positive 1 tiles

Let the and operator represent addition we have;

3 × x + 8 × 1 = 4 × x + 6 × 1

We simplify as follows;

3·x + 8 = 4·x + 6

We move and place like terms together as follows;

4·x - 3·x = 8 - 6

From which we have;

x = 2

Therefore, the correct option is x = 2

Answer:                    C.X=2  

Step-by-step explanation:   

Edge 2021

verified

Kiran's family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran's family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let LaTeX: nn represent number of people watching the football game, LaTeX: ss represent the ounces of sparkling water, LaTeX: pp represent the ounces of pretzels, and LaTeX: bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?

Answers

The answer to your question is 16$ and 50 cents

will give brainliest
I don't understand algebra 2!!! at all idk why

break it down please help ​

Answers

Answer:

1/5... 1 on top 5 on bottom

Step-by-step explanation:

sub in the values:

[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]

now add:

[tex]\frac{12}{60}[/tex]

simplify:

1/5

The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, , be measured in feet per second.

Write an equation to represent the relationship between the three quantities (speed, distance, and time).

Answers

speed =  [tex]\frac{distance}{time}[/tex]

speed = [tex]\frac{100}{2.5}[/tex]

speed = 40 feet per second

A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.

Answers

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

A = 850k = 35 (growth factor)

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

A = 700k = 60 (growth factor)

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

Learn more on exponential function here: https://brainly.com/question/12940982

Multiple Choice An equation of the line
whose slope is – 6 and whose y-intercept is 9
is ? ?
A y = -9x – 6 ( B y = 9x – 6
c) y = -6x - 9 D y = 6x - 9
E y = -6x + 9

Answers

Answer: answer is E

Step-by-step explanation: because it slope is -6(x) and intercept is (+)9

The points in each table lie on a line. Find the slope of the line.

O 1/2
O 1
O 2
O None of the above

Answers

Answer:

1

Step-by-step explanation:

Given table:

     x      -1    1   3   5

     y      -2   0   2  4

Unknown:

Slope of the line  = ?

Solution:

Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;

  Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

 let us take;

x₁ = -1        x₂ = 3

y₁ = -2        y₂ = 2

Insert the parameters and solve;

   Slope = [tex]\frac{2 - (-2)}{3- (-1)}[/tex]   = [tex]\frac{4}{4}[/tex]   = 1

The slope of the line is 1

If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”

Answers

Oksuru   k diyaf         ramincok ani kasilm asiyla olusan bir refle kstir.

If m <2 = 120', what is m<7?

Answers

m<7=120'

Step-by-step explanation:

m<2 = m<6 because m and l are parallel and m<6 =m<7 because they are vertically opposite angles (v.o.a)

Answer:

m<7=120

Step-by-step explanation:

2 and 7 are alternate exterior angles and because l and m are parallel lines then m<2=m<7

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