What are the solutions of the equation (5x − 2)(x + 6) = 0?

A. 0.4, −6
B. no real solution
C. −0.4, 6
D. 2.5, −6

Answers

Answer 1

Answer:

A. 0.4 , -6

Step-by-step explanation:

equate each of them to 0

5x - 2 =0 , x + 6 = 0

5x = 2 , x = 0 - 6

x = 2/5 , x = -6

x = 0.4 , x = -6


Related Questions

(a)Find the commission on Rs65 000 if 4% commission is paid.
(b)On selling an article for Rs2700,a shopkeeper made a profit of 8%.find cost price of the article.

Answers

Answer:

Step-by-step explanation:

commission amount = 4 % of Rs 65000

=4/100 * 65000

=260000/100

=2600

therefore commision amount is Rs 2600

SP od an article = Rs 2700

profit %=8%

let CP be x

SP=CP + profit% of CP

2700=x + 8/100 *x

2700=100x + 8x/100

2700*100 = 108x

270000=108x

270000/108=x

2500=x

therefore cost price (CP) of an article is Rs 2500.

Please help. Thank you. (30 points included) (Shown work)

Answers

Answer:

True

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.

Find the missing side

Answers

Answer:

12.94811641 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 44 = x /18

18 cos 44 =x

12.94811641 =x

Answer:

12.9

Step-by-step explanation:

cos(44) = x/18

x = cos(44) * 18

x = 12.9

Which side lengths form a right triangle?​

Answers

Answer:

[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]

Step-by-step explanation:

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Verify:

[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]

The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?

Answers

Answer:

+9

Step-by-step explanation:

+9-9=0

The Correct answer to your question is 0!!

12
Activity 2
1. Express each as a unit rate.
a) A car travelled 150 km in 3 hour. Show your work.​

Answers

Given:

A car traveled 150 km in 3 hour.

To find:

The unit rate.

Solution:

We have,

Distance = 150 km

Time = 3 hours.

In this case speed is the unit rate.

[tex]Speed=\dfrac{Distance}{Time}[/tex]

Substituting the given values, we get

[tex]Speed=\dfrac{150\text{ km}}{3\text{ hr}}[/tex]

[tex]Speed=50\text{ km/h}[/tex]

Therefore, the unit rate is 50 km/h.

In the system of equations , x represents .... ( please answer 12a and 12b )

Answers

Answer:

x = cost of each t-shirt

y = cost of each sweatshirt

Step-by-step explanation:

Given equation:

2x + 2y = 26 (1)

x + 3y = 33 (2)

From (2)

x = 33 - 3y

Substitute x = 33 - 3y into (1)

2x + 2y = 26 (1)

2(33 - 3y) + 2y = 26

66 - 6y + 2y = 26

- 6y + 2y = 26 - 66

-4y = -40

y = -40/-4

y = 10

Substitute y = 10 into (2)

x + 3y = 33 (2)

x + 3(10) = 33

x + 30 = 33

x = 33 - 30

x = 3

Where,

x = cost of each t-shirt = $3

y = cost of each sweatshirt = $10

Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!

Answers

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

Translate the sentence into an equation. Twice the difference of a number and 6 is 2.

Answers

Answer:

let the number be x.

2(x-6)=2

hope it helps

stay safe healthy and happy....

1) Find the remainder when 4x3 - 5x2 + 2x - 14 is divided by x -2
with the help of remainder theorem.
{ANS: R=2}​

Answers

Answer:

remainder = 2

Step-by-step explanation:

A polynomial f(x) is divided by (x - a) then the remainder is f(a)

Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)

f(2) = 4(2)³ - 5(2)² + 2(2) - 14

      = 4(8) - 5(4) + 4 - 14

      = 32 - 20 - 10

      =  12 - 10

      = 2

I need help with this question

Answers

Answer:

$18.63

Step-by-step explanation:

15% of 45 is equal to 45 times .15, which is equal to 6.75.

45+6.75 = 51.75

Ben resold the guitar for $51.75

36% of 51.75 is equal to 51.75*.36 or 18.63

Ben spent $18.63 on books

18.63

15% of 45 is equal to 45 times 15 which is equal to 6.75

plssplsplsplspls answer fast bc its a map and I can't wait for way too long

Answers

Answer:

Part A: 1

Part B: -4

Step-by-step explanation:

In a coordinate [tex](x,y)[/tex], the x-coordinate represents the input of a function and the y-coordinate represents the output.

Part A:

We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.

Part B:

We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.

Answer:

A) 1

B -4

well, need to write at least 20 characters... have a nice day :)

-40 divided by what makes -4

Answers

Answer:

10

Step-by-step explanation:

<3

Un deposito de agua tiene forma de un cubo de 10 metros de arista ¿cual es la capacidad del deposito?

Answers

Respuesta:

1000m³

Explicación paso a paso:

La capacidad del tanque viene dada por el volumen del cubo;

El volumen, V del cubo se da como: a³

V = a³

El borde del cubo mide 10 metros.

Por eso,

Volumen = 10³

Volumen = 10 * 10 * 10

Volumen = 1000 m³

Por lo tanto, la capacidad del tanque de agua es de 1000 m³.

Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?

Answers

Answer:

$13.25

Step-by-step explanation:

Given data

Cost of game = $25

Markup= 6%

Let us find the total cost of the game

First, the markup cost

=6/100*25

=0.06*25

=$1.5

Now the total cost is

=25+1.5

=$26.5

So, each is expected to pay

=26.5/2

=$13.25

Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?

Answers

Answer:

425000×0.0235=9987.5

379000×0.0235=8906.5

9987.5+8906.5=18894 that is the amount he gonna get

the sum of the squares of two consecutive integers is 481. Find the integers​

Answers

Answer:

{15, 16} or {-15, -16}

Step-by-step explanation:

Quick solution:

take half of the sum (approx. 240), sqrt(240)=15.5

So the numbers are 15 and 16.  and also the negative equivalents since squares are always positive.

Exact method:

Let

x=smaller integer,

x+1 = next integer.

sum:

x²⁺(x+1)^2 = 481

2x^2 + 2x + 1 = 481

2x^2 + 2x - 480 = 0

x^2 + x -240 = 0

x = 15 or x = -16

so the integers are

either

{15, 16} or {-15, -16}

The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.

Assume 'x' is the number and the successive number is (x + 1).

The sum of the square of the consecutive number is 481. Then the equation of the number is given as,

x² + (x + 1)² = 481

Simplify the equation, then we have

x² + (x + 1)² = 481

x² + x² + 2x + 1 = 481

2x² + 2x - 480 = 0

x² + x - 240 = 0

x² + 16x - 15x - 240 = 0

x(x + 16) - 15(x + 16) = 0

(x + 16)(x - 15) = 0

x = 15, -16

Then the successive numbers are given as,

x + 1 = 15 + 1

x + 1 = 16

x + 1 = - 16 + 1

x + 1 = - 15

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

I. NEED. HELP! PLEASE!

Answers

Answer:

x = 2.5

Step-by-step explanation:

We know the adjacent and the opposite sides to the angle in a right triangle

tan theta = opp / adj

tan 26 = 1.2 /x

x tan 26 = 1.2

x = 1.2 / tan 26

x =2.46036461

Rounding to the nearest tenth

x = 2.5

tan tita = opp/adj

tan 26°=1.2/x

x=1.2/tan 26

x=2.46

x=2.5

Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.

Answers

Answer:

76°

Step-by-step explanation:

Applying trigonometry :

Angle x ;

Tan x = opposite / adjacent

Tan x = (30/20)

x = tan^-1(30/20)

x = 56.31°

Angle y;

Tan y = opposite / adjacent

Tan y = (22/20)

x = tan^-1(22/20)

x = 47.73°

The angle θ ;

Sum of angles in a straight line = 180

56.31 + 47.73 + θ = 180°

θ = 75.96°

need help with thisss

Answers

9514 1404 393

Answer:

  cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

  UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

  UQ = 24 cm

Then TQ is ...

  TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

  cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

  cos(x°) = 6/10 = 3/5

  cos(x°) = 3/5 = 0.6

A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply. Please help

Answers

Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.

find out the arc length of DG and the measure of angle DHG

Answers

Answer:

is it timed, because i need like 20 mins to answer this question.

Step-by-step explanation:

PLEASE HELP ME WITH THIS

Answers

-3 is the 3rd box and you go down 3 spaces then over 2

a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.

Answers

Answer:

m<ACB  = 59degrees

Step-by-step explanation:

To get <ACB, first we need arcAB

arcAB + arcAC + arcBC = 360

arcAB + 89 + 153 = 360

arcAB+242 = 360

arcAB = 360 - 242

arcAB = 118

Also, m<ACB = 1/2arcAB

m<ACB = 1/2*118

m<ACB  = 59degrees

please help find x!! asap

Answers

Answer:

x = 60

Step-by-step explanation:

The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.

how do u find volume of a rectangle

Answers

Count up all the sides of the triangle and divide it by 3 if I’m
Not mistaken

Answer:

the length of the rectangle times the wedth of the rectangele by 2

Please help
Honestly cant understand

Answers

Answer: x=20°

Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.

You should get, x=20.

This is my hw. heelp

Answers

Answer:

1/14

Step-by-step explanation:

can someone help please...

Answers

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow paint

Answers

Answer:

40%

Step-by-step explanation:

3 + 2 = 5

Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%

Hope this helped!

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