Solve by factorisation 2x^2+3x-20

Answers

Answer 1

Answer:

(x + 4) × (2x - 5)

Step-by-step explanation:

Begin by writing 3x as a difference 2x^2 + 8x - 5x - 20

Factor out 2x from the expression2x × (x + 4) - 5x - 20

Factor out -5 from the expression2x × (x + 4) - 5 (x + 4)

Factor out x + 4 from the expression (x + 4) × (2x - 5)

Hope this helps!!

Answer 2

Answer:

Answer:

(2x−5)(x+4)

Step-by-step explanation:

Factor 2x2+3x−20

2x2+3x−20

=(2x−5)(x+4)

Answer:

(2x−5)(x+4)


Related Questions

The number 392 is what percent of 560? I need help with this math problem​

Answers

Its 70%

392/560 = 0.7

0.7 * 100 = 70%

What is the solution to 2(3x + 6) = 3(2x - 6)?

Answers

Answer:

The statement is false. 12 ≠ -18

Step-by-step explanation:

2(3x + 6) = 3(2x - 6)

6x + 12 = 6x - 18

-6x           -6x

12 ≠ -18

What is 23.65 rounded to the nearest one

Answers

Answer:24

Step-by-step explanation:

any thing that is 5 and above rouned up

Answer:

24

Step-by-step explanation:

you look at 3, look at the right and you have to round up so its 24

What is the value of a in the equation 3 a plus b equals 54, when b equals 9?

Answers

Answer:

a = 15

Step-by-step explanation:

Given

3a + b = 54 ← substitute b = 9

3a + 9 = 54 ( subtract 9 from both sides )

3a = 45 ( divide both sides by 3 )

a = 15

An equation is formed when two equal expressions. The value of a in the equation 3a+b=54, when b equals 9 is 15.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given statement "3 a plus b equals 54" in terms of the equation can be written as,

3a + b = 54

Given an equation 3a+b=54. Also, the value of b in the given equation is 9. Therefore, the value of a in the given equation can be written as,

3a + 9 = 54

Subtract 9 from both sides of the equation,

3a + 9 - 9 = 54 - 9

3a = 45

Divide both the sides of the equation by a,

3a/3 = 45/3

a = 15

Hence,  the value of a in the equation 3a+b=54, when b equals 9 is 15.

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how do you solve -2/5x -9<9/10

Answers

Answer:

x > -99/4

Step-by-step explanation:

I must assume that you meant (-2/5)x -9<9/10.

This inequality has 3 terms.  The LCD is 10.  Multiply each term by 10 and reduce the result:

10(-2/5)x - 10(9) < 10(9/10), or:

-4x - 90 < 9

Adding 90 to both sides results in:

-4x < 99

Here we must divide by a negative number (that is, by -4).  This requires reversing the direction of the inequality sign:

x > -99/4 is the final solution.

does commutative property apply to subtraction


explain :

Answers

Answer:

No

Step-by-step explanation:

Commutative property  does not apply on subtraction i.e.

[tex]a - b \neq b - a[/tex]

for example-

for two numbers 3 and 2

[tex]3 - 2 = 1\\[/tex] and

[tex]2 - 3 = -1[/tex]

∴[tex]2 - 3 = 3 - 2[/tex]

blem 5: James reads a 200-page book. 'On Monday he reads page 13 through page 31, next day he
reads page 47, Wednesday he decides to skip all remaining odd pages and just reads all
other even pages.
How many pages are still left James does not read yet?.​

Answers

Answer:

103  

Step-by-step explanation:

Unread pages = (a) 1 - 12; (b) 32 - 46; (c) odd numbered pages from 48 - 200

The number of pages in each range is:

(a)  n₁ = 12 - 1 + 1  = 12

(b) n₂ = 46 - 32 + 1 = 15

(c) n₃ = 200 - 48 + 1 =153

Half the pages are odd-numbered.

153/2 = 76½.

200 and 48 are both even so there are more even-numbered pages in the range.

There are 77 even-numbered and 76 odd-numbered pages.

The total of unread pages is

12 + 15 + 76 = 103

What is the range of the given function?
{(-2.0), (-4,-3), (2, -9), (0.5), (-5, 7)}

Answers

The range is the y-values.

Let r = range

r = {0, -3, -9, 5, 7}

Help me thank you!!!!

Answers

Answer:

Step-by-step explanation:

<1 = <5                              Corresponding angles.

<5 + <6 = 180°                  Angles making up the same straight line are supplementary.

<1 + <6 = 180°                   <1 and <5 are equal.

<6 = 180° - <1                    If we know <1 we can easily find six. It is <1s supplement.

Shannon and Kelly spent $135 on gift certificates for their friends during the holidays. If this amount is 5/7 their total spending money, how much spending money did they originally have? Set up an equation and solve.

Answers

Answer:

$189

Step-by-step explanation:

Let their total amount of spending money be x

given that $135 they spent is 5/7 of their total spending money,

mathematically:

135 = (5/7) x     (multiply both sides by 7)

135 (7) = 5x

945 = 5x

5x = 945  (divide both sides by 5)

x = 945 / 5

x = 189

Final answer:

Shannon and Kelly originally had $189 as their spending money.

Explanation:

Let x be the original amount of spending money.

According to the problem, Shannon and Kelly spent $135 on gift certificates, which is 5/7 of the total spending money.

This can be represented by the equation: 5/7 * x = $135.

To solve for x, we can multiply both sides of the equation by 7/5 to get x = $135 * 7/5 = $189.

Therefore, Shannon and Kelly originally had $189 as their spending money.

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Solve for x..
12x + 7 < -11 OR
5x – 8 > 40

Answers

Answer:

x>48/5 or x<-3/2

Step-by-step explanation:

Solve for x

a) 12x + 7 < -11

12x < -11-7

12x < -18

x < -18/12

⇒ Simplify: divide the numerator by 6

x < -3/2

b) 5x – 8 > 40

5x > 40+8

5x > 48

x > 48/5

Therefore, x>48/5 or x<-3/2.

Add 5/8+7/8 . Simplify the answer and write as a mixed number.

Answers

Answer: 1 1/2

Step-by-step explanation: 5/8 + 7/8

= 12/8

simplifies to 1 1/2

Polygon ABCD is translated to create polygon A'B'CD'. Point A is located at(1,
5), and point A'is located at (-2, 3). Which expression defines the
transformation of any point (x, y) to (x,y) on the polygons?
x'= x-3
y'= y - 2
X'=x-2
y'=y-3
Ox'= x-1
y'=y-8
x = x + 3
y = y'+2

Answers

Answer:

the answer is

x′ = x − 3

y′ = y − 2

Step-by-step explanation:

Answer:

x′ = x − 3

y′ = y − 2

Sample Answer for Edmentum and Plato users

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[tex]y = \frac{1}{2} + \frac{w}{3} [/tex]
express w in terms of y ​

Answers

Answer:  [tex]\bold{w=\dfrac{6y-3}{2}}[/tex]

Step-by-step explanation:

Isolate w by performing the following steps

Multiply by 6 on both sides to clear the denominatorSubtract 3 from both sidesDivide both sides by 2

[tex]y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}[/tex]

Andrew rounded the number 672 726 to the nearest hundred thousand he wrote 672 000 find and correct his mistake

Answers

Answer:700000

Step-by-step explanation:

The number of zeros for hundred thousand is five .Thus100,000

So you start by counting the zeros from the right hand side of the figure 672000 to the left till your counting reach 5.

So wen you get to the fifth zero check the number that it falls on . Thus 7 will be that number,And since it's greater than 5 you add 1 to the prefix of the 7 which is 6 to be become 6+1=7 , hence the answer is 700000 to the nearest hundred thousand.

Answer:

700 000

Step-by-step explanation:

Andrew rounded the number 672 726 to the nearest hundred thousand.

   Hth           TH          Th           H             T           O

     ↓               ↓             ↓           ↓             ↓            ↓

    6               7              2           7              2           6

now round the number to nearest hundred thousand.

hundred thousand digit in 672726 is 7

If rounding number is greater than equal to 5 then next number increase by 1.

If rounding number is less than 5 then next number does not change.

here rounding number is 7 > 5

So, next digit 6 change to 7

Rounded number  = 700 000

672 726   → 700 000

Andrew did

672 726   → 672 000

Mistake: Rounded to thousand instead of hundred thousand

Correct rounded number = 700 000

simplify
[tex]3 (3w - 4x) + \frac{25x - 5}{ 5 } [/tex]

Answers

Answer:

9w−7x−1

Step-by-step explanation:

Simplify the expression.

Hope this helps you :)

Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $120 more than Barb. Barb and Carlita combined sold $280 more than Annette. Write and solve a linear system to find out how much did each person sold.

Answers

Answer:

The quantity sold by Annette was $600

The quantity sold by Barb was $480

The quantity sold by Carlita was $400

Step-by-step explanation:

Let

x ----> quantity sold by Annette

y ---> quantity sold by Barb

z ---> quantity sold by Carlita

we know that

[tex]x+y+z=1,480[/tex] ----> equation A

[tex]x=y+120[/tex] ----> equation B

[tex]y+z=x+280[/tex] ----> equation C

substitute equation C in equation A and solve for x

[tex]x+(x+280)=1,480[/tex]

[tex]2x=1,480-280[/tex]

[tex]2x=1,200[/tex]

[tex]x=\$600[/tex]

Find the value of y

[tex]x=y+120[/tex]

[tex]600=y+120[/tex]

[tex]y=600-120=\$480[/tex]

Find the value of z

[tex]x+y+z=1,480[/tex]

[tex]600+480+z=1,480[/tex]

[tex]1,080+z=1,480[/tex]

[tex]z=\$400[/tex]

therefore

The quantity sold by Annette was $600

The quantity sold by Barb was $480

The quantity sold by Carlita was $400

Final answer:

The solution involves setting up a system of three linear equations based on the given problem. By solving these equations methodically, we find that Barb, Annette, and Carlita sold $400, $520, and $560 of clothing respectively.

Explanation:

The problem involves setting up and solving a system of linear equations. Here's how we approach it:

Let's denote Barb's sales as B, Annette's sales as A, and Carlita's sales as C.The total sales are given to be $1480, so we have our first equation as A + B + C = 1480.The problem states that Annette sold $120 more than Barb. This gives us another equation: A = B + 120.It is also said that Barb and Carlita combined sold $280 more than Annette, hence the third equation: B + C = A + 280.Now we have a system of three equations which we can solve step-by-step. Firstly, substitute A from the second equation into the first and third one, providing us with two new equations: B + 120 + B + C = 1480 and B + C = B + 120 + 280. These simplify to 2B + C = 1360 and B = 400. Substituting B = 400 into the equation 2B + C = 1360 gives C = 560.Last, we substitute B = 400 into the second equation A = B + 120, which simplifies to A = 520.

So, Barb sold $400 of clothing, Carlita sold $560, and Annette sold $520.

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Yung bought $4.60 worth of bubble gum. Each piece of gum cost $0.10. How many pieces of bubble gum did Yung buy?

Answers

Answer:

46 pieces

Step-by-step explanation:

We get n (number of pieces) as follows

n = (4.6 $) / (0.1 $/piece) = 46 pieces

Answer:

Yung bought 46 pieces of bubble gum for $4.6

Explanation:

We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums

To get the number of gums he bought, we will simply use cross multiplication as follows:

1 piece .........................> 0.1

x pieces ......................> 4.6

Therefore:

[tex]x = \frac{4.6*1}{0.1}= 46[/tex] pieces of gum

Hope this helps :)

Find Each Difference 125 - ( -114 )​

Answers

Answer:

125-(-114)=239

Step-by-step explanation:

Change the subtraction to addition and change the negative in the second number to a positive (it's the opposite). Then add them. 125+114=239

CAN EXPLAIN FURTHER

One line passes through the points (-6,0) and (-4,6) another line passes through the points (5,-2) and (8,7)

Is it parallel , perpendicular , or neither

Answers

Answer:

Parallel

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{2 + 7}{ -5 + 8} = \frac{9}{3} = 3[/tex]

[tex] \frac{0 + 6}{6 - 4} = \frac{6}{2} = 3[/tex]

Both rate of changes [slopes] result in three, therefore both lines are parallel.

I am joyous to assist you anytime.

Lines can be parallel, perpendicular or neither

Both lines are neither perpendicular nor parallel

The first line passes through (-6,0) and (-4,6)

The slope (m1) of the first line is:

[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m_1 = \frac{6-0}{-4--6}[/tex]

[tex]m_1 = \frac{6}{2}[/tex]

[tex]m_1 = 3[/tex]

The second line passes through (5,-2) and (8,7)

The slope (m2) of the second line is:

[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m_2 = \frac{7--2}{8-5}[/tex]

[tex]m_2 = \frac{5}{3}[/tex]

If [tex]m_1 = m_2[/tex], then the lines are parallelIf [tex]m_1 = -\frac{1}m_2[/tex], then the lines are perpendicular

None of the above conditions is true.

Hence, the lines are neither perpendicular nor parallel

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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

X measures 30°, Y measures 67°, and Z measures 83°.

Since the sum of the measures of the angles of a triangle is 180, and the sum of the measures of the second and third angles is five times the measure of the first angle, and the third angle is 16 more than the second, for find the measures of the three angles, the following calculation must be performed, posing linear equations:

X + Y + Z = 180 Y + Z = 5X Z = Y + 16

X + 5X = 180 6X = 180 X = 180/6 X = 30

Y + Y + 16 = 5 x 30 2Y + 16 = 150 2Y = 150 - 16 Y = 134/2 Y = 67

Z = 67 + 16 Z = 83

Therefore, X measures 30 °, Y measures 67 °, and Z measures 83 °.

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Final answer:

Let x, y, and z represent the measures of the first, second, and third angles of the triangle. We can create a system of equations to find the values of x, y, and z. Solving this system, we find that x = 28, y = 32, and z = 48.

Explanation:

Let's use x, y, and z to represent the measures of the first, second, and third angles, respectively.

The sum of the measures of the second and third angles is five times the measure of the first angle, so we have the equation y + z = 5x.

The third angle is 16 more than the second, so z = y + 16.

Since the sum of the measures of the angles of a triangle is 180, we have the equation x + y + z = 180.

Now we can solve these equations to find the measures of the three angles.

Substituting z = y + 16 into the equation y + z = 5x, we get y + y + 16 = 5x, which simplifies to 2y + 16 = 5x.

Substituting z = y + 16 into the equation x + y + z = 180, we get x + y + y + 16 = 180, which simplifies to x + 2y + 16 = 180.

Now we have a system of equations:

2y + 16 = 5x

x + 2y + 16 = 180

Solving this system, we find that x = 28, y = 32, and z = 48.

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what is the value of x?

enter your answer in the box​

Answers

Hey!

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

Polygon: Heptagon

Vertices: 7

Sum of angles: 900°

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

Solution:

158 + 120 + 139 + 121 + 125 + 126 = 789

900 - 789 = 111°

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

Answer:

x = 111°

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

Hope This Helped! Good Luck!

A lemonade recipe calls for 2 caps of sugar and 3 caps of water.how many cups of sugar are needed when using 12 cups of water

Answers

8 cups of sugar

12/3=4 4x2=8

Answer:

8 Cups of Sugar.

Step-by-step explanation:

3x4=12 cups of water.

2x4=8 cups of sugar

Dr.Imos plants a vegetable garden each year.He plants one fourth of his garden in corn.and one half of his garden in tomatoes,He buys 240 seeds.If he pays $0.05 per seed for all vegetables he plants, how much does he spend on seeds? use S.O.L.V.E​

Answers

Answer: $12

Step-by-step explanation:

0.05 x 240 = $12

Hope this helps!

If my bill is $160 and they’re going to takeoff 25% of the total bill how much money will I give them

Answers

$40 will be taken off the bill and you will be paying a total of $120.

Multiply 160 by .25 to find the amount taken off ($40), and then subtract from the total to find the amount that you will be paying ($120).

Have a great day!

Answer:

You will pay $120

Step-by-step explanation:

There are many methods in solving this percentage equation, but this is by far my favorite. Here is how it works.

1.Take 160, the original amount.         160

2.Then take the percent amount        .25

and convert into decimal.           ---------------------

3. Multiply the numbers                   40.00

4. Subtract the product from         160

original amount, 160.                  -    40

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

                                             $120

That is how I would get my answer. I am very sorry if the formatting messes up, but it is this basic problem:     160*.25=40.00 then 160-40=120

dachelle does pushups every morning. she does 3 sets of pushups, 7 days a week. How many pushups does dachelle do in one week?​

Answers

Answer:

21

Step-by-step explanation:

If she does 3 pushups every morning, than you need to multiply 3x7

3 sets of 8 pushups a day (can't forget that information!! its critical the the problem!!!) 7 days a week

3*8 = 24

24*7 = 168

168 pushups a week

What is the decimal equivalent of 8/32

Answers

Answer:

.25

Step-by-step explanation:

8/32 = 1/4

1/4 = .25

Answer:

0.25

Step-by-step explanation:

URGENT: WILL MARK BRAINLIEST
Use a table to compress the function y = f(x) vertically by a factor of 1/4. Identify the graph of the function and its transformation.

Answers

Answer:

I think its A because with B and C your reflecting it across the y-axis and its asking to reflect it over the x-axis while D, is a reflection and a translation

Hope I helped :)

8. Which animal is closest to sea level?
Shark -7
Sea Lion -10
Seagull 24
Turtle -6

Answers

Turtle is closest to the sea level.

What is number line ?

In which horizontal straight line, we represent integer numbers from low value to high, from left to right, is called number line.

Zero is in the middle of that line.

If we consider the number line, then in the left side of zero, we have all the negative values, where .... < -5< -4< -3< -2< -1< 0

And in the right side of zero, we have all the positive values, where 0<1<2<3<4<5 and so on....

Which animal is closest to sea level ?

We know that, Level zero is called the sea level.

So, if we assume number line in vertical way, then the zero will be the sea level.

Here, if we arrange levels of animals from low to high, we get,

Sea lion(-10)<Shark(-7)<Turtle(-6)<0 <Seagull(+24)

We see that, zero is in between -6 & 24

The distance between 0 & -6 is 6 units whereas between 0 & 24 is 24 units.

So, Turtle is closest to sea level.

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Sea Lion has the lowest value indicating its proximity to sea level. Hence, the correct option is second.

Sea Lion is the animal closest to sea level with a value of -10. This means it is approximately 10 meters below sea level. In comparison, the Shark has a value of -7, the Turtle has a value of -6, and the Seagull has a value of 24, making the Sea Lion the closest to sea level.

If u varies directly with v, with k=0.6, what is the value of u when v=7.8?

a. u = 13
b. u = 0.77
c. u = 0.468
d. u = 4.68

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{"u" varies directly with "v"}}{u=kv}\qquad \textit{we know that } \begin{cases} k=0.6\\ v=7.8 \end{cases} \\\\\\ u=(0.6)(7.8)\implies u=4.68[/tex]

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