solve using the zero product property:

10x^2 - 13x = 3


with explanation pls; will give brainliest

answer should be: -1/5 and 3

Answers

Answer 1

10x^2 - 13x = 3 a = 10, b = -13, c = -3 (quadratic formula? icba to write it sos!!)
-3 both sides

10x^2 - 13x - 3 = 0 -3 x 10 = -30 (products of -30 and equal to -13 are 15, -2 (so we use this))

10x^2 - 2x + 15x - 3 = 0
factorising now

2x (5x - 1) + 3 (5x - 1)
the brackets have to be the same

(2x + 3) (5x - 1)
2x - 3 = 0 ——— 5x + 1 = 0 (switch the signs forgot y tbf)
add 3 to both sides ——— minus 1 on sides
2x = 3 ——— 5x = -1
divide by 2 both sides ——— divide both by 5
x = 3/2 ——— x = -1/5

naw cus I spent so long on this for the answer to be wrong dam-n

Related Questions

Is negative one a rational number?

Answers

Answer: -1 is a rational number.

Step-by-step explanation: -1 is a rational number because it is an integer. An integer can be any number, such as -5, 5, 0, 3, etc.

Rational numbers can also be perfect squares (i.e square root of 25), it can be repeating decimals or decimals in general.

Irrational numbers are numbers that cannot be written as a fraction OR that are imaginary.

Irrational numbers would be repeating decimals that do not have the same values repeated, such as Pi. Pi cannot be written as a fraction, only estimated. Irrational numbers can also be imaginary numbers such as the square root of -4. There is no number in this world that can multiply itself and become -4. A negative times a negative is positive, and a positive times a positive is a positive. This means the square root -4 is imaginary and therefore irrational.

Answer:

Yes.

Step-by-step explanation:

All integers, fractions, whole numbers & natural numbers fall into the category of rational numbers.

How are integers rational numbers?

The definition of rational numbers says that any number that can be written in the form of p/q, where p & q are integers & q is not equal to 0 are categorised into rational numbers. This is in the form of the fraction. We know that, by dividing the integers by 1, we'll get them as a fraction. Sp, integers are rational numbers.

For example:

- 1 = -1/1 (p/q form; so it's a rational number)

________

Hope it helps ⚜

26=-12y-9+7y what is this answer

Answers

Answer:

[tex]y = - 7[/tex]

Solving steps:

=> 26=-12y-9+7y

Step 1: Simplify both sides of the equation.

make y the subject of formula

=> 26=−12y+−9+7y

=> 26=(−12y+7y)+(−9)

Combine like terms

=> 26=−5y+−9

=> 26=−5y−9

Step 2: Flip the equation.

=> −5y−9=26

Step 3: Add 9 to both sides.

=> −5y−9+9=26+9

=> −5y=35

Step 4: Divide both sides by -5.

.=> [tex] \frac{ - 5y}{ - 5} = \frac{35}{ - 5} [/tex]

=> y = - 7

!!!Brainliest to the first one to get it right!!!!

Which of the following is the difference of two squares?

A)8x^2-16y^

B)25m^2+100n^2

C)4g-16h

D)100a^4-9b^12

Answers

Answer:  The Answer is A

Step-by-step explanation:

8x^2 - 16y^2

Answer:it’s A

Step-by-step explanation:took the test

QUESTION ON PIC THANK YOU!!

Answers

when d>100
total = (0.1)d

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK.
Figures are not drawn to scale.

Answers

Answer:
NK = 14.4

Step-by-step explanation:

Given the following question:

We know that the two sides are similar
JI = 3, NM = 7.2

The scale factor is 2.4 since....

[tex]3\times2.4=7.2[/tex]


Knowing the two sides are similar and if we multiply JI by 2.4, we get NM we can easily do the same for JG and NK.

JG = 6
[tex]6\times2.4=14.4[/tex]
[tex]=14.4[/tex]

NK = 14.4

Hope this helps.

write a personal letter

Draw the image when ABCD is translated along 1-4, 6).​

Answers

Answer:

(9,4)

Step-by-step explanation:

your welome

work out the area of the parallelogram

Answers

Answer:

b x h

Step-by-step explanation:

There is a pair of parallel sides in the following shape.
10
2
2
What is the area of the shape?

Answers

The area of the shape is 12 square units

Area of a trapezium

The given shape is a trapezium and the formula for calculating the area of a trapezium is expressed as:

A = 0.5(a+b)h

Given the following parameters

a = 2

b = 10

h = 2

Substituting the given parameters

A = 0.5(2+10)*2
A = 0.2(12) * 2

A = 12 square units

Hence the area of the shape is 12 square units

Learn more on area of trapezium here: https://brainly.com/question/16904048

If A = 2x - 722 + 3 and B = 4x2 - 12x, what is A + B?

A) -3x^2+10x+3

B) -3x^2-10x+3

C)3x^2-10x+3

D)6x^2-7x-9

Answers

Answer:

B

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power.

2x & (-12x) are like terms  and

-7x²  & 4x²  are like terms

A = 2x - 7x² + 3

B = 4x² - 12x

A + B = 2x - 7x² + 3 + 4x² - 12x

         = 2x  - 12x   - 7x² + 4x² + 3

         =  (2-12)x + (-7 + 4)x² + 3

           = -10x + (-3x²) + 3

          = -3x² - 10x +3

What is the trigonometric ratio for sin C?

Enter your answer, as a simplified fraction.

Answers

Answer:

(9/40)

Step-by-step explanation:

Sin is Opposite/Adjacent

sin(C) = AB/BC

We can find the value of AB by using the Pythagorean Theorem:

a^2 + b^2 = c^2

(80)^2 + b^2 = (82)^2

b = 18

sin(C) = 18/80 or (9/40)

Jeff has four credit cards with limits of $4,000, $9,000, $3,600 and $11,300 respectively. If he has all of his cards charged up to 85% of his credit limit, how much does he owe?

Answers

Answer:

Jeff would owe $23,715

Step-by-step explanation:

$4,000+$9000+$3600+$11300x 0.85 = $23,715

Find the value of x, y, and z, in the rhombus below.

Answers

Answer:

Step-by-step explanation:

Ivan rocks 2 1/8 miles to his aunts house he has already walked 3/4 miles how much further does he have to go explain how you solved

Answers

Just subtract the fractions

12 Complete the table to show equivalent times. Seconds Hours Minutes 210 8,400​

Answers

Answer:

The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.

Use the circle graph to determine how
many hours each day Sariah spends
on each activity.
School:
hours
Becky's Day
Eating
hours
10%
Eating:
Sleep:
Free time
15%
Homework
10%
Sleep
40%
Homework:
hours
hours
hours
School
25%
Free time:

Answers

Answer:

school=6 hours

eating= 2.4 hours

sleep= 9.6 hour

homework= 2.4 hours

free time= 3.6 hours

Step-by-step explanation:

Asriel says 2 times 2 is 4 Adrian says 2 times 3 is 6 Brittne says 2 times 5 is 4.Who is correct?​

Answers

Answer:

Asriel is correct because 2 times 2 is 4 and 2 times 3 is 6 and 2 times 5 is 10 so Asriel is correct.

Answer: Asriel & Adrian

Step-by-step explanation: 2x2 =4 (Ex: if you have 2 apples and was given 2 more you would have 4 in total)

2x3=6 (Ex: like if you have 2 oranges and was given 3 more you always have to count by your multiples.)

What is the surface area of this triangle prism

Answers

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh;

joy is (4x + 5) years old her brother micheal is (3x - 2) years younger than her sister. then write an expression thet represents Michael's age​

Answers

Answer:

(x +7) years old

Step-by-step explanation:

Joy= (4x +5) years old

Since Michael is (3x -2) years younger, we need to subtract (3x -2) from Joy's age to find out his age.

Michael

= (4x +5) -(3x -2)

= 4x +5 -3x +2 (expand)

= x +7

Thus, Michael is (x +7) years old.

Write 4 equivalent expressions to 5n = 15n

Answers

The answer..




Here\/ .

helppppp
Find the value of x.

Answers

The value of x is 8.77

A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pound of fertilizer will the farmer need to make a mix that contains 120 pounds of soil?

Answers

Answer

There will be 9 pounds of fertilizer

PLEASE HELP!!

(2x+3y-7)+(x-y)

show how you got the answer too please

Answers

Answer:

  3x +2y -7

Step-by-step explanation:

The given expression can be simplified by combining like terms. Those are terms with the same variable. The commutative and associative properties of addition apply, as well as the distributive property.

   (2x +3y -7) +(x -y) . . . . . given

  = 2x +3y -7 +x -y . . . . . . eliminate (unneeded) parentheses

  = (2x +x) +(3y -y) -7 . . . . group like terms

  = (2+1)x +(3-1)y -7 . . . . . . combine coefficients of like terms (this is an application of the distributive property)

  = 3x +2y -7

PLS HELP ME OUTT!!!!

Answers

Answer:

90+36+(4x+6)=180

4x+6=54

4x=48

x=12

Aysha has 136 buttons and 8containers,can she divided the buttons equally between the containers?

Answers

Yes she can, each container will have 17 buttons each

HELP ASAP WILL GIVE BRAINLIEST!!!
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric. The area of the solid green fabric is 8π square inches.


What percent of the design is floral fabric?


Use 3.14 for π. Round your answer to the nearest whole percent.

Answers

Answer: the answer is 39

Step-by-step explanation:

i just took the test

Answer: 39%

Step-by-step explanation: i took the test :)

Someone help and please make sure the answer right pls, pls help I’m confused

Answers

Answer:

it's the third bubble

Step-by-step explanation:

Answer:

n³ - 2n² - 3n + 2 + (2 / x - 4)

Step-by-step explanation:

n^4 - 6n³ + 5n² + 14n - 6

(n - 4) x

n^4 - 6n³ + 5n² + 14n - 6

-n^4 + 4n³

-2n³ + 5n² + 14n - 6

(n - 4) x -2n²

-2n³ + 5n² + 14n - 6

2n³ - 8n²

-3n² + 14n - 6

(n - 4) x -3n

-3n² + 14n - 6

3n² - 12n

2n- 6

(n - 4) x 2

2n - 6

-2n + 8

R. 2 / x - 4

I hope this helps!

what is 8 & 3/4 x 3
(I need this today!)

Answers

3/4 x 3 = 9/4

Since you need to multiply first you add the 8 later after you solve the multiplication

8 9/4

Answer:

26 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

8[tex]\frac{3}{4}[/tex] = [tex]\frac{(8x4)+3}{4}[/tex] = [tex]\frac{35}{4}[/tex]

[tex]\frac{35}{4}[/tex] x [tex]\frac{3}{1}[/tex] = [tex]\frac{105}{4}[/tex] = 26.25 = 26 [tex]\frac{1}{4}[/tex]

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?

Answers

well, is simply the difference from what the bottle has and what she poured, hmm let's firstly convert the mixed fraction to improper fraction and then subtract.

[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}~~ - ~~\cfrac{3}{4}\implies \cfrac{(2)5~~ - ~~(1)3}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{10-3}{4}\implies \cfrac{7}{4}\implies 1\frac{3}{4}[/tex]

PLEASE PLEASE HELP
Connor needs 60 mL of a 19% acid solution for a science experiment. He has available a 21% solution and a 15% solution.
How many milliliters of the 21% solution and how many milliliters of the 15% solution should he mix to make the 19%
solution?

Answers

Answer:

Let x = ml of 21% solution

Let y = ml of 15% solution

ATQ,

x + y = 60.....(1)

or

0.21x + 0.15y = 0.6....(2)

Multiplying equation 1st by 0.21, we get,

0.21y+0.21y =12.6....(3)

subtracting equation 3

0.21y+0.21y =12.6

-0.21x +0.15y = 0.6

_________________

ㅤㅤㅤ 0.6y = 12

_________________

6y = 12

y = 20ml

x= 60-20 = 40 ml

Hence , Conner needs 20ml of 21% solution & 40ml of 15% solution

What is sin 60°?
A. 1
B. 1/2

Answers

Answer:

B.

[tex] \frac{1}{2} [/tex]

Hope it helps you<3
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