Use the zero product property to find the solution to the equation 6x^2-5x=56

Answers

Answer 1

Answer:

x = -8/3 or 7/2

Solution:

6x^2 - 5x = 56

6x^2 - 5x - 56 = 0

6x^2 -21x +16x - 56 = 0

3x(2x-7) + 8(2x-7) = 0

(3x + 8)(2x-7) =

3x + 8 = 0  or 2x - 7 = 0

x = -8/3 or 7/2


Related Questions

What is the solution to the following system of equations?

x - 2y = 6

y = 11 - 3x

Answers

Answer:

(4, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

x - 2y = 6

y = 11 - 3x

Step 2: Rewrite systems

Define:                              x - 2y = 6Add 2y on both sides:     x = 2y + 6

x = 2y + 6

y = 11 - 3x

Step 3: Solve for y

Substitute in x:                              y = 11 - 3(2y + 6)Distribute -3:                                 y = 11 - 6y - 18Combine like terms:                     y = -6y - 7Add 6y on both sides:                  7y = -7Divide 7 on both sides:                y = -1

Step 4: Solve for x

Define:                                        x - 2y = 6Substitute in y:                           x - 2(-1) = 6Multiply:                                      x + 2 = 6Subtract 2 on both sides:          x = 4

Answer:

x=4  y=-1

Step-by-step explanation:

x-2(11-3x)=6

x-22+6x=6

7x-22=6

7x=22+6

x=28/7

x=4

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

y=11-3(4)

y=11-12

y=-1

Section B: Simplifying expressions involving surds
1. Which of these numbers are multiples of square numbers greater than 1?
8
40
35
80
90
288

Answers

Answer:

All except 35

Step-by-step explanation:

8, 40, 80 and 288 is a multiple of 4.

90 is a multiple of 9.

Graph the line that has a slope of 8 and includes the point (0,2).

Answers

Graph the point (0,2). From there go up 8 points and right 1 point. Again, from the point (0,2) go down 8 points and left 1 point. Hope this helps!

The graph for the given slope of 8 and includes the point (0,2) is given below.

Given that, the line that has a slope of 8 and includes the point (0,2).

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Substitute m=8 and (x,y)=(0, 2) in y=mx+c, we get

2=8(0)+c

c=2

Put m=8 and c=2 in y=mx+c, we get

y=8x+2

Graph the line using the slope and y-intercept, or two points.

Slope: 8

y-intercept: (0,2)

Coordinate points are (0, 2) and (1, 10)

Hence, the graph for the given slope of 8 and includes the point (0,2) is given below.

To learn more about the slope of a line visit:

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what is the measurement of the angle???

Answers

180 = full angle of trapezoid

180 - 82 - 82 = 16

Answer: 16

During the last basketball season, Alice made 320 out of 360 free-throw attempts. Betty made 300 free-throws out of 320 attempts. Cathy made 90% of her free-throws. Denise had an average of 0.913 for successful free-throws.

Which girl had the highest percentage of free throws?

Answers

Vbgc 457799866 ghjc

Help it’s an easy question I’m just dumb please help me!

Find the x-intercept of the rational function.

A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)

Please explain how you got your answer. Thanks

Answers

Answer:

c

Step-by-step explanation:

c i think

The x-intercept is where the graph touches the x-axis. From the picture you sent, it’d be (6,0).

What is the difference between these two expressions?
(14 + 9) 4
(14 + 9) 2
(14 + 9) 4 is four times as much as (14 + 9) 2
(14 + 9) 4 is three times as much as (14 + 9) 2
(14 + 9) 4 is half as much as (14 + 9) 2
(14 + 9) 4 is twice as much as (14 + 9) 2

Answers

Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

Thanks

Answer:

Step-by-step explanation:

i

A dice is rolled.
What is the probability of getting a 2 or
a 4?

Answers

Answer:

1/3 or 3.33

Step-by-step explanation:

There are 6 sides to dice, and to land on one side is a 1/6th of a chance. to land on 2 possible sides, you do 1/6+1/6 which equals 2/6 which is equivalent to 1/3 or 3.33 as a decimal.

I hope this helps and good luck!

Answer:

1/3 or 3.3333333333333333333 repeating

Step-by-step explanation:

A normal dice has 6 sides. You are asking the probability of getting two of them. 2 ÷ 6 = 1/3, or 33.3 repeating

I Hope That This Helps! :)

Mr. Smith's wife works at an animal hospital. There is a equivalent fraction relationship between the number of dogs and cats in the kennels. If there are 20 cats in the kennels, how many dogs?

Answers

Answer:

There are 10 dogs in the kennels

Step-by-step explanation:

The equivalent fraction relationship between the number of dogs and cats in the kennels is 1/2.

Which means, if [tex]n_d[/tex] the number of dods and [tex]n_c[/tex] is the number of cats, then,

[tex]\frac {n_d}{n_c}=\frac{1}{2}\cdots(i)[/tex]

Given that there are 20 cats, so [tex]n_c=20.[/tex]

Now, from equation (i) we have,

[tex]\frac {n_d}{20}=\frac{1}{2}[/tex]

[tex]\Rightarrow n_d=\frac{1}{2}\times 20[/tex]

[tex]\Rightarrow n_d= 10[/tex].

Hence, there are 10 dogs in the kennels.

HOW DO I DO THIS PLEASE SOMEONE SOLVE IT AND I WILL MARK BRAINLIST!! PLEASE ITS DUE TODAY. LOOK AT THE IMAGE ABOVE

Answers

The 2 rectangles and triangles are similar to each other, so the corresponding sides between the same shape are proportional.

For the rectangle, 10 is 1 2/3 times greater than 6, so x is 12 times 1 2/3, which is 20. You can also think of it as 12 is 2 times 6 on the left rectangle, so x on the right rectangle is 2 times 10

For the triangle, the corresponding sides are NP and XZ, and XZ is 13 times as large as NP. The corresponding side to PO is ZY, and 7 times 13 is 91, so w is equal to 91.

If f(x) = x³ - 2, find f(3). 25 24 26 20

Answers

Answer:

[tex]A.) 25[/tex]

Step-by-step explanation:

[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:

[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]

Now simplify the equation, starting with exponents (PEMDAS):

[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]

Simplify subtraction:

[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]

:Done

Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??

Answers

Answer:

Up left, down right

Step-by-step explanation:

First, polynomials with odd degrees will have end behaviors in two different directions.

Since the leading coefficient is negative, the end behavior will be up left and down right.

So, the end behavior is up left, down right.

The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

We have to determine

The end behavior of a 9th-degree polynomial with a negative leading coefficient??

What is a negative leading coefficient?

If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.

What is the equation of 9th-degree polynomial?

The equation of the 9th-degree polynomial is;

[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]

The degree of the polynomial is 9 which is odd.

Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

To know more about Polynomial click the link given below.

https://brainly.com/question/17822016

The shape below has both reflectional and rotational symmetry true or false

Answers

Answer:

False

Step-by-step explanation:

This shape does not have reflectional symmetry because you can't draw a line have both sides look identical.

Answer:

False

Step-by-step explanation:

sure it has Rotational but a Reflection no

Find the value of x that makes A || B.

2 = 3x - 20 and 5 = x + 20
x= [?]

Answers

Answer:

20

Step-by-step explanation:

3x-20=x+20

3x-x=20+20

2x=40

x=20

good luck dude

For the two lines A and B to be parallel to each other, the value of x should be equal to 20.

What are corresponding angles?

In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc.

The definition of corresponding angles states that when two parallel lines cross with a third, the angles that occupy the same relative location at each junction are said to be corresponding angles to each other.

As per the given diagram of the parallel lines and the transverse the measure of the angle 2 and angle 5 should be equal, This is because the two angles are corresponding angles. Therefore, we can write,

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 20

Hence, for the two lines A and B to be parallel to each other, the value of x should be equal to 20.

Learn more about Parallel lines:

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5) y=-2
4x – 3y = 18
This

Answers

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

15(2x + 2) = 10(3x + 4)

Answers

Answer:

No Solutions

Step-by-step explanation:

If you simplify the equation, you would get 30x + 30 = 30x + 40, which if you subtract 30x, you would get 30 = 40, which means that there are no solutions, because no amount for x would balance this equation.

I NEED HELP ASAP!!!
Determine the best name for the quadrilateral JKLM. Justify your answer by showing all work and explaining the results of your work.
J ( 2, 4 ), K ( 7 , 4, ), L ( 3, 1 ) and M ( - 2 , 1 )

Answers

Answer:

Parallelogram

Step-by-step explanation:

This is a parallelogram

See the plotted points

Please help!
What's the answer to this?: (-5x^2)^3

Answers

The answer is -125x^6
You do
(-5)^3 * (x^2)^3






........2)3$2$$:$:$:$:$27/737373737

Please solve!
add equation.
Will Name Brainliest!!!!

Answers

Answer= $1.20

Step by step explanation-
7x+3x+2x=$14.40
12x=$14.40
x=14.40/12
x=$1.20
A pack of bracelets were $1.20

help pls need help. :) :)

Answers



S^3+12

S= 4

4^3+12
64+12= 76

76 ft cubed

I hope this is right!

A
SSS
OSAS
HL
AAS
ASA
None

Answers

should be SAS

i think

hope this helps lol

Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y

Answers

Answer:

c

Step-by-step explanation:

Answer:

One-third y minus Start Fraction 7 over 5 End Fraction x + two-thirds minus two-thirds y minus Start Fraction 4 over 9 End Fraction

just to be clear its C i just wanted to look smart hope i helped :)

9/6 divided 1/2 can somebody help please

Answers

The answer is 3...........

Answer:

Step-by-step explanation:

[tex]\frac{9}{6}[/tex] ÷ [tex]\frac{1}{2}[/tex] = 3

Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!

Answers

If it’s an angle I think 90% but if not maybe 24 all around

Which of the following is a linear function?
А
B
C
D

Answers

Answer:

d

Step-by-step explanation:

..................

A line passes through the point (-10, -2) and has a slope of
3/2

Write an equation in slope-intercept form for this line.

Answers

The equation of this line in slope intercept form is y = 1.5x + 13.

What is slope intercept form?

The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.

Equation of line: y = mx + c

where m is slope of line and c is the y intercept.

[tex]\frac{y+2}{x+10} = \frac{3}{2}\\ \\ 2(y+2) = 3(x+10)\\\\2y + 4 = 3x + 30\\\\2y = 3x + 26\\\\y = 1.5x + 13\\\\where\ slope = 1.5\ and\ y\ intercept\ is\ (0,13)[/tex].

Learn more about slope intercept form here

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Joey entered a chicken wing eating contest. He ate 160 wings in ten minutes. If
Joey ate the wings at a constant rate, what is the constant of proportionality
relative to this situation?

Answers

Answer:

16

Step-by-step explanation:

160 ÷ 10 = 16 wings per minute

Wings: y

Constant of proportionality: k

Minutes: x

y = kx

y = 16x

The head coach ordered 8 pizzas and 3 orders of pasta for her team, costing a total of $120. The JV coach ordered 6 pizzas and 4 orders of pasta for his team, costing a total of $104. Let x, be the cost of pizza, and y be the cost of the pasta.


a) What is the price for a single pizza? and single order of pasta? Show your work for full credit.
PLEASE HELP ME

Answers

Answer:

x = 12 and y = 8

Therefore:

1 pizza = $12

1 pasta = $8

Step-by-step explanation:

What does the area of any shape tell us??

Answers

The area of a shape tells you the amount of space inside. The perimeter tells you how long the outline is. This is what the area and perimeter tell you.

Hope this helps you!

Solve m + 3.4 = 2.1.

Answers

Answer:

m= -1.3

Step-by-step explanation:

subtract 3.4 from both side and than simplify

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