Mathematics High School

What is the product of 2x - 5 and 3x² + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) Is the product of 2x - 5 and 3x² + 5x - 7 equal to the product of 5x - 2 and 3x² + 5x - 7? Explain your answer.​

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

(a)

[tex]( 2x - 5 )(3x^{2} + 5x - 7)\\\\=2x(3x^2+5x-7)-5(3x^2+5x-7)\\\\=6x^3+10x^2-14x-15x^2-25x+35\\\\=6x^3+(10x^2-15x^2)+(-14x-25x)+35\\\\=6x^3-5x^2-39x+35[/tex]

(b)

[tex](2x-5)(3x^2+5x-7)=(5x-2)(3x^2+5x-7)\\\\\frac{1}{(3x^2+5x-7)}(2x-5)(3x^2+5x-7)= \frac{1}{(3x^2+5x-7)}(5x-2)(3x^2+5x-7)\\\\2x-5=5x-2\\\\2x-5x=-2+5\\\\-3x=3\\\\x=-1[/tex]

only happens when x=-1, not always

Related Questions

Alebra 1 - 10pts
Solve for x.

x/4 ≥−8

A. x≤−2

B. x≤−32

C. x≥−32

D. x≥−2

Answers

Answer:

C. x≥−32

Step-by-step explanation:

Multiply both sides by 4

Answer:

C, you have to multiple both sides. Let me know if you need it explained further.

Step-by-step explanation:


Find the slope of the line between the points (1, 4) and (-1,6)

Answers

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = [tex]\frac{6-4}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1

Cole and his friends made a line plot of hours they spend watching TV after school, which is the difference between the greatest amount of time spent watching TV at the least amount time.

Answers

Answer:

what

Step-by-step explanation:

Answer:

i need more intel like numbers

Step-by-step explanation:

The price of apples can be determined by the equation P = 0.23n, where P is the price and n is
the number of apples. What is the constant of proportionality (unit rate)?

Answers

Answer:

0.23

Step-by-step explanation:

Basically, the unit rate is how much its increasing every time you add on. So if it were 2+2+2 the unit rate would be 2! Hope this helps!

State the domain and range of the given relation

(-4,3), (-1,-4), (0, -4), (2, 3), (3, -3) (4, 7)

Answers

Answer:

work is shown and pictured

In a quiz show, I get 23 out of 50 questions right. What
percentage did I get right?

Answers

Answer:

46%

Step-by-step explanation:

percentage=23÷50×100%

=46%

Answer:

I'm not sure but i think it's 46% of questions

what is 19.2 x 10^9 minutes in hours ANSWER ASAP PLSS

Answers

Answer:

19200000000

Step-by-step explanation:

1000000000 is 10^9. Then that times 19.2 is 19200000000.

(Hope this helped and have a great day)

(please mark this brainliest)

Solve for M
D=m/v
Show your work

Answers

Answer: m=vD

Step-by-step explanation:

To get m alone, you want to use algebraic properties.

[tex]D=\frac{m}{v}[/tex]                  [multiply both sides by v]

[tex]m=vD[/tex]    

Now that we have mass alone, we know that m=vD.

^ THEY ARE CORRECT ! you must multiply both sides

Find the measure of angle C of △ABC, if:
m∠A=60°+α, m∠B=60°−α.

Answers

Answer:

In a triangle, sum of three angles=180°

So, A+B+C=180

C=180-A-B

C=180-60-a-60+a

C=60°

Hope it helps :-)

4 Reynaldo paid $41.25 for 5 pizzas. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?

Answers

Answer: Each pizza costed $8.25

Step-by-step explanation:

You have to divide $41.25 / 5 to find the cost of each pizza

Solve for x.
5/3=x-4/2
Simplify your answer as much as possible.

Answers

Answer:

22

Step-by-step explanation:

5/3=x-4/2

10=x-12

x=22

Answer:

[tex]3 \frac{2}{3}[/tex]

Step-by-step explanation:

5/3 = x - 4/2

5/3 + 4/2 = x

11/3 = x

x = 3 2/3

3x(x+30°) i really need help asap

Answers

A13x2+390x here is the answer

Answer:

x=15

Step-by-step explanation:

Simplifying

x + 30 = 3x

Reorder the terms:

30 + x = 3x

Solving

30 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

30 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

30 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

30 + -2x = 0

Add '-30' to each side of the equation.

30 + -30 + -2x = 0 + -30

Combine like terms: 30 + -30 = 0

0 + -2x = 0 + -30

-2x = 0 + -30

Combine like terms: 0 + -30 = -30

-2x = -30

Divide each side by '-2'.

x = 15

Simplifying

x = 15

Of the 900 high schoolers, 45 are autistic. On the pie chart, what will be percent for the sector of autistic students?

A.5
B.7
C.6
D.4

Answers

The answer would be 5%.
The answer is A - 5%

Drag an expression or phrase to each box to complete the proof.


It is given that JKLM is a parallelogram, so JM ll KL by the ____


. Therefore, ​∠1​ ≅∠2 by the corresponding angles postulate. Also, it is given that _____ ≅∠3, so ∠1≅ ____by the ____

Answers

JM is parallel to KL by the definition of parallelogram (opposite sides of any parallelogram are parallel)

Therefore, angle 1 = angle 2 by the corresponding angles postulate

We're also given angle 2 = angle 3

So angle 1 = angle 3 by the transitive property of congruence

Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *

Answers

[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]

[tex]\hrulefill[/tex]

We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:

[tex]\frac{5}{n}[/tex]

Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:

[tex]\frac{5}{n}\bold{-7}[/tex]

What are the 2 steps that are wrong

Answers

Answer:

Step-by-step explanation:

Step 2 to Step 3.

This is a major error. Minus signs always create trouble.

4 - 21 = -17

To this you add 30

- 17 + 30 = 13

So the answer is sqrt(13)

Answer:

Step 3 to step 4

1 less than the product of 2 and a number

Answers

2x-1 because the product of 2 and a number would be 2x and less than one; less than is subtract so in that case it would be 2x-1.

Product of 2 and a number less than 1 is 2a - 1

Given:

Product of 2 and a number less than 1

Find:

Expression

Computation:

Assume;

Another number is "a"

So,

According to question:

2(a) - 1

Product of 2 and a number less than 1 = 2a - 1

Learn more about liner equation;

https://brainly.com/question/3726207?referrer=searchResults

Given y2 + 5y - 6 = (y + p)(y +q) find the
values of p and q.

Answers

Answer:

p = 6, q = - 1

Step-by-step explanation:

Factor the left side and compare to right side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1, since

6 × - 1 = - 6 and 6 - 1 = + 5, thus

y² + 5y - 6 = (y + 6)(y - 1)

Compare with (y + p)(y + q) , then

p = 6 and q = - 1

8x-4y=-4 solve for y

Answers

answer:

y=1+2x

step by step solution:

8x-4y=-4 subtract 8x from both sides

-4y=-4-8x divide by -4 on both sides

y=1+2x

find the value of each power 5^-2

Answers

Answer:

5⁻² = 1/25

3⁴ = 81

Step-by-step explanation:

  5⁻² = 1/5² = 1/25    3⁴ = 3² * 3² = 9*9 = 81

Multiply (−7)(2)(−2).

Answers

Answer:

28

Step-by-step explanation:

-7 × 2 = -14Plug -14: -14 × -2-14 × -2 = 28

I hope this helps!

Answer:

28!

Step-by-step explanation:

A sequence starts 1/2,1/4,1/8 follow your to write the next 3 terms in the sequence

Answers

Answer:

1/16, 1/32, and 1/64

Step-by-step explanation:

The denominator is multiplying by 2 while the numerator stays the same.

Solve this equation.
5(x+8)-1=20+2(x+8)
using the pen
feature. Show all of
your work.

Answers

Answer:

5(x+8)-1=20+2(x+8)

or, 5x + 40 -1 = 20 + 2x + 16

or, 5x-2x = 20+ 16 -39

3x = -3

x = -1

Step-by-step explanation:

To ensure profits, a store is going to sell a sweater for 115 percent of the production cost. It costs $10 to make the sweater. Below are the calculations for finding the selling price. What mistake did the store owner make? (Original Cost)(Percent) = New Cost ($10)(0.115) = $1.15 The new cost is correct. The owner should have divided by 0.115. The owner should have multiplied by 11.5. The owner should have multiplied by 1.15.

Answers

Answer:I did the test and the answer is The owner should have multiplied by 1.15.

Step-by-step explanation:

Sample text

To make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.

What is percentage?

" Percentage is defined as the hundredth part of any given number".

According to the question,

Production cost of a sweater = $10

To ensure profit , selling price = 115 percent of the production cost

(Original Cost)(Percentage)

[tex]= (10)(\frac{115}{100} )[/tex]

[tex]= $11.5[/tex]

Hence, to make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.

Learn more about percentage here

https://brainly.com/question/13450942

#SPJ3

Kelly can draw 15 shapes in 2 minutes how long does it take kelly to draw 120 shapes in the same rate

Answers

Answer:

16

Step-by-step explanation:

15/120

2/x     (cross multiplication

Answer:

Your answer is 16 Minutes

Step-by-step explanation:

Very Easy!

15 Shapes/ 2 minutes = 120 Shapes/ X Minutes

Rearrange that, you get 15X = 240 as you cross multiplied,

240/15 = 16!

X=16!

Please help brainiest !!

Answers

Answer:

2760 ft^3

Step-by-step explanation:

volume of a cube formula:

Length * width* height

volume of the big cube

= 11*10*22

= 2420 ft^3

volume of the small cube

=7*4*10

=280 ft^3

now to find the total volume

= volume of the big cube + volume of the small cube

=2420 + 280

=2760 ft^3

9(8 - x) = 3x
Will mark brainlest!

Answers

Answer: x = 6

Step-by-step explanation:

9(8 - x) = 3x

72 -9x = 3x

add 9x to both sides

72 = 12x

divide 72 by 12

x = 6

Find all the zeros of the quadratic function.
y=x²-11x+18

Answers

Y= (X-9)(x+2)
X=9
X=-2

Help me please thank you

Answers

it should be 10 1/2 sorry if i’m wrong
the quarter of trail mix is 5 3/4

4x-6=x+9 i need help can someone show the work too please

Answers

Answer:

x = 5

Step-by-step explanation:

instructions in pic :)

4x - 6 = x + 9

4x - 6 - x - 9 = x + 9 - x - 9        [Subtract x + 9 from both sides]

3x - 15 = 0

3x - 15 + 15 = 0 + 15                  [Add 15 to both sides]

3x = 15

3x/3 = 15/3                                [Divide both sides by 3]

x = 5

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