(x-5)(3x-8)=(4-3x)(6-x)+13​

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

Use FOIL method

(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)

                     = 3x² - 8x - 15x + 40        {Combine like terms}

                     = 3x² - 23x + 40

(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)

                      = 24  - 4x - 18x + 3x²         {Combine like terms}

                     = 3x² - 22x + 24  

(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13

3x² - 23x + 40 = 3x² -22x + 24  + 13

3x² - 23x  + 40 - 3x²  + 22x  - 24 - 13 = 0

3x² - 3x² - 23x + 22x  + 40 - 24 - 13 = 0   {Combine like terms}

0   - x  = 0

 -x +3= 0

         3 = x

x =3


Related Questions

There are 10 boys and 6 girls. How many ways are there to choose 8 people to get at most girls

Answers

Answer:

2 ways

Step-by-step explanation:

6G and 2B

5G and 3B

Aaron is going to see a movie and is taking his 2 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $3.50 each. How much total money would Aaron have to pay for his family if he were to buy 2 snacks for everybody to share? How much would Aaron have to pay if he bought x snacks for everybody to share?

Answers

Step-by-step explanation:

Count the family first

$15x3=$45$3.50x2=$7

$45+$7=$52

He will have to pay$52

Please help!!! Find the length of MK

Answers

Answer:

HK = 42

HM = 23

MK = ??

23 + MK = 42

MK = 19

^^^ so you're correct :)

Let me know if this helps!

Write an
equivalent expression by distributing the
""
"sign outside the parentheses:
-(-9.1d - 6f +9.1)
Answer:
Submit Answer

Answers

Answer:

[tex] - ( - 9d - 6f + 9.1) \\ = 9d + 6f - 9.1 \\ thank \: you[/tex]

Find the value of ( 1+cosA) (1-cosA)

Answers

Answer:

sin^2 A

Step-by-step explanation:

first expand the trigonometry

1(1-cosA)+cosA(1-cosA)

=1-cosA+cosA-cos^2 A

= 1-cos^2 A

from trigonometric identity sin^2 A + cos^2 A= 1

sin^2 A= 1- cos^2 A

=sin^2 A

please help me !! :)

Answers

Answer:

I believe it is D

Step-by-step explanation:

1. Which of the following is a true statement?
a. A perfect square is a number whose
square root is an even number.true
b. The inverse of squaring a number is to
divide the number by 2.
C. To square a number, multiply the number by
itself.
d. All of the above.

Answers

Answer:

C. To square a number, multiply the number by

itself.

Step-by-step explanation:

HELP ASAP

Write the equation of the line passing through the points (-5,8) and (-8,5).

Answers

Answer:

y=-5/8x+0

Step-by-step explanation:

A man shoots with a bow. There is a 70% chance that he hits with the first shot. If he hits, he gets more confidence, and then there is an 80% chance that he hits with other shots. If he misses with the first shot, his confidence drops, and then there is only a 60% chance that he hits with other shots. Per shoots 2 arrows. Find the probability that he gets 2 hits, 1 hit and no hits.

Answers

Answer:

2 hits:  56%

1 hit : 32%

0 hits: 12%

Step-by-step explanation:

2 hits: 0.7 * 0.8

1 hit : (.7*.2 + .3*.6) - .7*.8

0 hits: .3 * .4

If 4x – 5 = 96, what is the value of 4x + 12?

Answers

Answer:

113

Step-by-step explanation:

Solving the first equation, 4x - 5 = 96, we get x = 25.25:

4x - 5 = 96

add 5 to both sides

4x = 101

divide both sides by 4

x = 25.25

Then we plug that into 4x + 12.

We already know 4x = 101, so 101 + 12 = 113

The value of the expression will be equal to 113.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Solving the first equation, 4x - 5 = 96, we get x = 25.25:

4x - 5 = 96

Add 5 to both sides.

4x = 101

Divide both sides by 4.

x = 25.25

Then we plug that into 4x + 12.

4x = 101,

Substitute the value of 4x into the expression.

101 + 12 = 113

Therefore, the value of the expression will be equal to 113.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2


FIND AC! PLS HELP!!

Answers

Answer:

AC = 7.3 in

Step-by-step explanation:

tan(51°) = 9/AC

1.24 = 9/AC

AC = 9/1.24

AC = 7.26

help, i'll give a brainliest

Answers

Answer:

xoooxoooooo

Step-by-step explanation:

love is the answer to everythinggg

A. 4
B.-1/4
C. 4
D. 1/4

Answers

The answer should be 1/4

Help help help help help help help help help help help help

Answers

Answer:

$32.07

Step-by-step explanation:

I am not sure - are we seeing the full information about this problem ?

because the problem description is strangely vague and confusing, as it uses "total cost" two times for not the same thing ...

either total cost means including tax or not including tax. but it cannot mean both ...

I think the most likely understanding of this problem is that the first price is without tax, and now we need to calculate and add the extra 6% tax to get the really total price to be paid.

I will solve this now based on this assumption.

100% = $30.25

1% = 100%/100 = 30.25/100 = $0.3025

6% = 6×1% = 6×0.3025 = $1.815 ≈ $1.82

the total price is then calculated either by

100% + 6%

or by

106% = 100%×1.06 = 30.25×1.06 = $32.065 ≈ $32.07

in both cases we get the same result, of course.

Answer:

32.171

Step-by-step explanation:

45. A crew member on a boat releases a camera 2 feet above the surface of a lake. The
camera falls 6 feet, where it is caught by a diver. How many feet below the surface of
the lake is the diver?
A. 6 feet below
B. 8 feet below
C. 4 feet below
D. 12 feet below

Answers

Answer:

C. 4 feet below

Step-by-step explanation:

A crew member on a boat releases a camera 2 feet above the surface of a lake. That is +2 feet

The camera falls 6 feet. -6

+2+(-6)

2-6

-4

Below 4 feet

I need help ASAP!!Please help me

Answers

Answer:

Below

Step-by-step explanation:

To find the volume of a rectangular prism find the area of a face and multiply it by the height

V = lwh

  = (12)(5)(12)

  = 720 km^3

Hope this helps!

help me pleaseeee <333 .

Answers

Answer:

3 one

Step-by-step explanation:

Answer:

3 option is correct

Step-by-step explanation:

gd afternoon

have a lovely day

The vertex of parabola is -3,-2, what is the equation?

Answers

Answer:

[tex] {y}^{2} = \frac{4}{3} x[/tex]

Step-by-step explanation:

Master equation:

[tex]y {}^{2} = 4 {ax}[/tex]

with point ( -3, -2 ):

[tex] {( - 2)}^{2} = 4a( - 3) \\ 4 = - 12a \\ a = - \frac{1}{3} [/tex]

Equation is:

[tex] {y}^{2} = \frac{4}{3} x[/tex]

Answer:

y = x² + 6x + 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 3, - 2 ) and with a = 1 , then

y = (x - (- 3) )² - 2

  = (x + 3)² - 2 ← expand using FOIL

  = x² + 6x + 9 - 2

y = x² + 6x + 7 ← equation of parabola

Please help me. It’s due before 7pm

Answers

Answer:

[tex]{ \boxed{6 + a = 13 }}[/tex]

Answer:

Below

Step-by-step explanation:

Let's say that x represents the mystery number

5(x + 6) = 65

5x + 30 = 65

5x = 35

Divide both sides by 5

x = 7

We can check to see if this works

6 + 7 = 13 (the sum of 6 and x)

13 x 5 = 65

Hope this helps!

Find the area of the circle.
Use 3.14 for it. Do not round your answer.
Hint: A = Tira
14 inches
Area = [?] inches?
Enter the number that
belongs in the green box.

Answers

Use the formula given. R is half the diameter

R = 14/2 = 7 inches.

Area = 3.14 x 7^2

Area = 153.86 inches^2

Answer:

Does the answer help you?


What is the volume of the cylinder?
5767 cm3
2887 cm3
967 cm3
1921 cm3

Answers

Calculate the area of the base circle: pigreco • r^2 = 3,14 • (6)^2 = 3.14 • 36 = 113 cm2
Now you have to moltiplicate to the high, so: 113 • 16 = 1808 cm3

How do I solve part A

Answers

You have to put them into order, then multiple the two sides kf the triangle then put them together

Answer:

you have to put them in order

¿para qué se realizan gráficos en un informe
estadístico?

Answers

Los gráficos simplifican los datos y muestran los hallazgos clave en forma de imágenes. Un gráfico es una representación visual de datos que puede presentar información compleja de forma rápida y clara, y ayudar al lector a ver patrones y tendencias en los datos.

Simplify the expression to a polynomial in standard form:
(2x - 1)(-x^2+ 4x + 6)

Answers

Answer:

[tex](2x - 1)( - {x}^{2} + 4x + 6) \\ = 2x \times - {x}^{2} + 2x \times4x + 2x \times 6 \\ - 1 \times - {x}^{2} - 1 \times 4x - 1 \times 6 \\ = - 2 {x}^{3} + 8 {x}^{2} + 12x + {x}^{2} - 4x - 6 \\ = - 2 {x}^{3} + 9 {x}^{2} - 8x - 6 \\ thank \: you[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

A rectangular tank measures 60cm by 50cm by 40cm. Water flows into the tank at a rate of 8 litres per minute. At this rate, how long will it take to fill the tank?

Answers

Answer:

15 minutes

Step-by-step explanation:

60 x 50 x 40 = 120000

120000 cubic cm = 120 litres

120/8 m= 15

Ans : 15 min.

2y + x = 7 and y = -x + 5 find the solution of the following system of equations ok​

Answers

Answer:

(3, 2)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3, 2)

Equation Form:

x = 3

y = 2

Sausages come in packets of 4. Bread rolls come in packets of 6. Colin wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

Answers

Answer:

12

Step-by-step explanation:

because it's true we need to know the full proce

Would someone plz help me out with this

Answers

Answer:

$25,500

Step-by-step explanation:

Its an increase of $1,500 each year

I have been trying to find the answer for 10 minutes now..Please help!

Answers

Plugging in the values, we see that object 1 has more potential energy (the ball to the left)

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