What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.

Answers

Answer 1

Answer:

(2x - 5) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x + 35

Step-by-step explanation:

Given:

2x - 5 and 3x2 + 5x - 7

Product of two values means multiplication of the two values

(2x - 5) (3x^2 + 5x - 7)

6x^3 + 10x^2 - 14x - 15x^2 - 25x + 35

Collect like terms

6x^3 + 10x^2 - 15x^2 - 14x - 25x + 35

Simplify

6x^3 - 5x^2 - 39x + 35

(2x - 5) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x + 35

Therefore product of 2x - 5 and 3x2 + 5x - 7 is 6x^3 - 5x^2 - 39x + 35


Related Questions

I need to know the answer

Answers

It would be 115



180-65 = 115 and 180 comes from the straight line which is half of 360
The answer would be 115.

Evalute j/4 when j = 12

Answers

Answer:

3

Step-by-step explanation:

j/4

Let j = 12

12/4

3

solve for d:
4−d<4+d

Answers

Answer:

d > 0

Step-by-step explanation:

what is one way to find the number of meters in 7 kilometers?

Answers

Answer:

7000.00 m

Step-by-step explanation:

h+p=4(k−7) for k please answer

Answers

Answer:

(28 + h + p)/4 = k

Step-by-step explanation:

Step 1: Write equation

h + p = 4(k - 7)

Step 2: Solve for k

Distribute 4: h + p = 4k - 28

Add 28 to both sides: 28 + h + p = 4k

Divide both sides by 4: (28 + h + p)/4 = k

13 cars are parked in a parking lot. each car has four tires. if seven of the tires are damaged then him many tires are in the parking lot are not damaged?


please help me !!

Answers

Answer:

45

Step-by-step explanation:

13 x 4 = 52

13 represents # of cars

4 represents tires per car

52 represents total tires

52 tires - 7 damaged tires = 45 undamaged tires

Answer:

45

Step-by-step explanation:

13 * 4=52

52-7=45

45 tires not damaged

Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)

Answers

Answer:

24

Step-by-step explanation:

if u subrtact 207-15 u will have 192 i divided that by 8 and got 24

What is the slope of the line represented by the equation y=-2/3-5x?

Answers

Answer:

-5

Step-by-step explanation:

Your basic equation if y = mx + b

Convert your equation to the above format: y = -5x -2/3

Now you can see that your slope is -5

Answer:

- 5

Step-by-step explanation:

[tex]y = - \frac{2}{3} - 5x \\ y = - 5x - \frac{2}{3} ..(1) \\ equating \:equation \: by (1) \: \\ y = mx + b \\ slope \: (m) = - 5[/tex]

i5=

Answer choices :

I
-I
1
-1

Answers

Answer:

A. i

Step-by-step explanation:

Hope it helped! Have a good day. <3

Identify the property that justifies each step asked about in the answer area below. Line 1: \text{Line 1: }\phantom{=}Line 1: = 4(8+9x)\,\,4(8+9x)4(8+9x) Line 2: \text{Line 2: }\phantom{=}Line 2: = 4(9x+8)\,\,4(9x+8)4(9x+8) Line 3: \text{Line 3: }\phantom{=}Line 3: = 36x+32\,\,36x+3236x+32 Line 1 to Line 2: Line 2 to Line 3:

Answers

Answer:

1. Commutative Property of Addition

2. Distributive property

Step-by-step explanation:

Given

[tex]Line 1: 4(8+9x)[/tex]

[tex]Line 2: 4(9x+8)[/tex]

[tex]Line 3: 36x+32[/tex]

Required

Justify each step

From Line 1 to 2:

The property from Line 1 to 2 depicts [tex]a + b = b + a[/tex];

i.e.

[tex]4(8 + 9x) = 4(9x + 8)[/tex]

This is referred to as Commutative Property of Addition

From Line 2 to 3:

The property here depicts [tex]a(b + c) = a * b + b * c[/tex]

i.e.

[tex]4(9x + 8) = 4 * 9x + 4 * 8[/tex]

[tex]4(9x + 8) = 36x + 32[/tex]

This is referred to as Distributive property

Answer:

Line 1 to Line 2: Commutative Property of Addition

Line 2 to Line 3: Associative Property of Addition

Step-by-step explanation:

does that answer anything

Find the quotient using polynomial long division:

1. (50y^3+10y^2-35y-7)divided by(5y-4)

2. (8m^4-4m^2+m+4)divided by(2m+1)

Answers

(1) [tex]50y^3=5y\cdot 10y^2[/tex], and

[tex]10y^2\cdot(5y-4)=50y^3-40y^2[/tex]

Subtract this from [tex]50y^3+10y^2-35y-7[/tex] to get a remainder of

[tex](50y^3+10y^2-35y-7)-(50y^3-40y^2)=50y^2-35y-7[/tex]

What we've done here is show that

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+\dfrac{50y^2-35y-7}{5y-4}[/tex]

We can keep going as long as the degree of the remainder's numerator is at least the same as the degree of its denominator.

Next, [tex]50y^2=5y\cdot 10y[/tex], and

[tex]10y\cdot(5y-4)=50y^2-40y[/tex]

Subtract this from the previous remainder to get a new remainder of

[tex](50y^2-35y-7)-(50y^2-40y)=5y-7[/tex]

which means

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+10y+\dfrac{5y-7}{5y-4}[/tex]

Finally, [tex]5y=5y\cdot1[/tex], and

[tex]1\cdot(5y-4)=5y-4[/tex]

Subtract this from the previous remainder to get

[tex](5y-7)-(5y-4)=-3[/tex]

So we end up with

[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=\boxed{10y^2+10y+1}-\dfrac3{5y-4}[/tex]

(the quotient is the expression in the box)

(2) Using the same process as before:

[tex]8m^4=2m\cdot4m^3[/tex]

[tex]4m^3\cdot(2m+1)=8m^4+4m^3[/tex]

[tex](8m^4-4m^2+m+4)-(8m^4+4m^3)=-4m^3-4m^2+m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-\dfrac{4m^3+4m^2+m+4}{2m+1}[/tex]

[tex]-4m^3=2m\cdot(-2m^2)[/tex]

[tex]-2m^2\cdot(2m+1)=-4m^3-2m^2[/tex]

[tex](-4m^3-4m^2+m+4)-(-4m^3-2m^2)=-2m^2+m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-\dfrac{2m^2-m-4}{2m+1}[/tex]

[tex]-2m^2=2m\cdot(-m)[/tex]

[tex]-m\cdot(2m+1)=-2m^2-m[/tex]

[tex](-2m^2+m+4)-(-2m^2-m)=2m+4[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-m+\dfrac{2m+4}{2m+1}[/tex]

[tex]2m=2m\cdot1[/tex]

[tex]1\cdot(2m+1)=2m+1[/tex]

[tex](2m+4)-(2m+1)=3[/tex]

[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=\boxed{4m^3-2m^2-m+1}+\dfrac3{2m+1}[/tex]

what is the answer to 2x + 4 = x + 10

Answers

Answer:

6=x

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-4-(4*x-10)=0

Need ASAP!! Helppppp

Answers

Answer:

171 degrees (C)

Step-by-step explanation:

Because you have to find the overall angle you add both angles together, hence giving you 171 (C)

Answer:

171°

Step-by-step explanation:

Angle KJU = 67°     Angle UJI = 104°

By adding 67 and 104, you would get 171, which is the angle of KJI.

an athlete runs 8 miles from their house to the store on a path. the athlete then runs to a point m miles from their house on the same path. the athlete decides to finish the run by returning to the store. the athlete ran a total of 16 miles. formulate an absolute value equation to represent this situation. then solve the equation.

Answers

9. Which of the following is a mental benefit of exercise

4x + 5 = 2x
Helpp please

Answers

Answer:

x=-2.5

Step-by-step explanation:

Answer:

x=  -5/2

Step-by-step explanation:

i just did scratch work an figured it out.. Lemme kno if u need ore help-..:):)

helpp plzzz? thank uuuu

Answers

Answer: 30

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

First of all, the little 2 stands for multiply by 2 so multiply 5 by 2 then you will get 10. Add 10 and 10 so you will get 20. Then divide 20 by 2 and you will get 10!

Hope it helps!

OwO

Whole Numbers include both positive and negative numbers. t or f

Answers

Answer:

t

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Whole numbers only have numbers from 0 forward with no fractions or decimals. {0, 1, 2, 3...}

Which number line below is correct? * 1 point Option 1 Option 2 Option 3 Option 4

Answers

Where are the number lines?

hurry I'm going to give free brainly to all who answer in 1 minute Q: If a person was born in 1962 how old would they be Q:16549x1348965 =? Q: What does SIMP mean easy but understanding

Answers

Answer:

they would be 58 rn. and simp means someone who is willing to do anything for someone they like. they try to get with that person everyday and they like them alot.

Step-by-step explanation:

hope this helped

1. person would be 58

2. 16549 x 1348965= 8834371785

3. a simp is someone who would do anything for someone and they dont really expect anything back except for a relationship *sad*

A watering can dispenses water at the rate of 0.25 gallon per minute. The original volume of the water in the can was 6 gallons. Which set of ordered pairs shows the volume of water in the can in gallons, (y) as a function of time in minutes, (x) from the first minute after the can starts dispensing water?

A. {{1, 6.0), (2, 5.75), (3, 5.50}}
B. {{6.0, 1), (5.75,2), (5.50, 3}}
C.{{1, 5.72), (2, 5.50), (3,5.25}}
D{{5.75,1), (5.50,2), (5.25, 3}}

Answers

Answer:

C.{{1, 5.72), (2, 5.50), (3,5.25}}

-2/5x + 2 find the inverse

Answers

-5/2+5
Download an app called math.way helps a lot

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of milk per cups of water are there?
1/7 cups of milk per 1 cup of water
1/12 cups of milk per 1 cup of water
3/4 cups of milk per 1 cup of water
4/3 cup of milk per 1 cup of water
OC

Answers

1/3 / 1/4 = 1/3 x 4/1 = 4/3

A concert cleanup crew has 6 workers and one cleanup kit.
Which table shows w=6, the number of cleanup kits needed
for w workers?

Answers

Answer:

Option (D)

Step-by-step explanation:

At every 6 crew workers number of clean up kits required = 1

Therefore, for 1 crew worker number of kits required = [tex]\frac{1}{6}[/tex]

And number of kits required for w workers = [tex]\frac{w}{6}[/tex] = w ÷ 6

If w = 54

Number of kits required = [tex]\frac{54}{6}=9[/tex]

If w = 60

Number of kits required = [tex]\frac{60}{6}=10[/tex]

If w = 66

Number of kits required = [tex]\frac{66}{6}=11[/tex]

Therefore, table given in Option (D) is the correct table.

# What does it mean if a quadratic polynomial

is prime? Give two examples of quadratic

polynomials that are prime. Now, find a quadratic

polynomial that is prime.

Answers

Answer:

A quadratic polynomial is a type of polynomial that cannot be factored

Examples are;

x^2 + 3x + 5

x^2 + 5x + 7

Step-by-step explanation:

A quadratic polynomial is a type of polynomial which cannot be factored. Just like prime numbers, it only has two factors, 1 and itself.

Hence, a quadratic polynomial does not have rational roots. Its roots are complex and not real

Example are as follows;

(i) x^2 + 3x + 5

(ii) x^2 + 5x + 7

[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]

# What does it mean if a quadratic polynomial

is prime? Give two examples of quadratic

polynomials that are prime. Now, find a quadratic

polynomial that is prime.

[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]

[tex]\color{red}{About \:Quadratic \: polynomials\: :-}[/tex]

➯ A polynomial having degree 2 is called a quadratic polynomial.

➯ The form of quadratic polynomial is

[tex]p(x) = a {x}^{2} + bx + c[/tex]

➯ Degree of the quadratic polynomial will be 2.

➯ Variable of the quadratic polynomial will be 1.

[tex]\color{red}{For \:example :-}[/tex]

[tex]p(x) = 2 {x}^{2} + 5x + 3 \\ 3 \:➝ \: constant \\ 2 \: and \: 5 \: ➝ \: coefficient \\ {}^{2} \: ➝ \: degree \\ x \:➝ \: variable \:[/tex]

➯ In a quadratic polynomial there are 2 zeros because it has degree 2.

[tex]\color{red}{➯ The \: 2\: zeros \:are :-}[/tex]

[tex]i) \: \: alpha( \alpha ) \: \\ ii) \: beta \: ( \beta )[/tex]

[tex]\color{red}{For \:example :-}[/tex]

[tex]p(x) = 2 {x}^{2} + 5 + 3 \\ = 2 {x}^{2} + 2x + 3x + 3 \\ = 2x(x + 1) + 3(x + 1) \\ = (x + 1)(2x + 3) \\ \\ As, \: \: p(x) = 0 \\ \\ ❥∴ \: (x + 1)(2x + 3) = 0 \\ x + 1 = 0 \\ x = - 1 \\ \\ ❥ \: 2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2} \\ \\ Here, \: \alpha = - 1 \\ \beta = \frac{ - 3}{2} [/tex]

A farmer has 180 yards of fencing material to make a rectangular
pen subdivided into 3 smaller pens. If the total length of the pens
is to be 60 yards, at most, how wide can the rectangle be?

Answers

Answer: 60 yd

Step-by-step explanation:

Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)

180 yards of fencing material

180yd = 2L + 4w

180dy = 2*60 + 4w

60dy = 4w

w = 15yd, how wide can the rectangle can  be with L = 60yd

simplify using i 3+2i/6+5i

Answers

The answer for your question question is 3+ 16/3 i

Can any anyone help me with this problem please Solve : 2x - 1 = 7

Answers

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] :

[tex]2x - 1 = 7[/tex]

-Add both sides by [tex]1[/tex] :

[tex]2x - 1 + 1 = 7 + 1[/tex]

[tex]2x = 8[/tex]

-Take [tex]2x[/tex] and divide it on both side of the equation:

[tex]\frac{2x}{2} = \frac{8}{2}[/tex]

[tex]x = 4[/tex]

So, the value of [tex]x[/tex] is [tex]4[/tex].

is 49 square root larger than 7.1 ?

Answers

Answer:

well the square root of 49 is 7 . so maybe this will help you.

please help!
find the equation (in terms of x) of the line through the point (-4,3) and (3,-2)

Answers

Answer: y= -5/7 x + 1/7

Step-by-step explanation:

Answer:

[tex]y=-\frac{5}{7} x+\frac{1}{7}[/tex]

Step-by-step explanation:

Equation of a line: [tex]y = mx+b[/tex]

m is the slope, and b is the y-intercept.

m = [tex]\frac{rise}{run} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-2-3}{3-(-4)} =-\frac{5}{7}[/tex]

Now, we have [tex]y=-\frac{5}{7} x+b[/tex]

We can insert one set of points in to solve for b.

We will use the first point (-4, 3):

[tex]3=-\frac{5}{7} (-4)+b[/tex]

[tex]\frac{5}{7}* \:4+b=3[/tex]

[tex]\frac{20}{7}+b=3[/tex]

[tex]b=\frac{1}{7}[/tex].

Equation:[tex]y=-\frac{5}{7} x+\frac{1}{7}[/tex]

Find the value mean value of 5,15,25,25,45.​

Answers

Answer:

[tex]\boxed {\tt 23}[/tex]

Step-by-step explanation:

In order to find the mean, we must add all the values together, then divide by the number of values.

1. Add the values together

The values are: 5, 15, 25, 25, 45 Add the together: 5+ 15 + 25 + 25 +45=115

2. Divide by the number of values.

Count how many values are in the set of data. There are 5 values. Divide by 5.

Divide: 115/5 =23

The mean is 23.

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