Solve the equation.
4x – 2 = -3x2 + 3x
x = [ ? ],

Answers

Answer 1

Answer:

[tex]x = - 4[/tex]

Step-by-step explanation:

[tex]4x - 2 = - 3 \times 2 + 3x[/tex]

Calculate the product:

[tex]4x - 2 = - 6 + 3x[/tex]

Rearrange the terms:

[tex]4x - 3x = - 6 + 2[/tex]

Combine like terms:

[tex]x = - 6 + 2[/tex]

Calculate:

[tex]x = - 4[/tex]

Answer 2

Answer:
x = 1/2
Step-by-step explanation:
Combine exponents
4x-x-2=-3^2+3xx
4x-x-2=-3x^2+3x^2
Combine like terms
4x-2=-3x^2+3x^2
4x-2=0
Add 2 to both sides
4x-2=0
4x-2+2=0+2
Simplify:
Add the numbers
4x-2+2=0+2
4x=0+2
Add the numbers again
4x=0+2
4x=2
Divide both sides by the same factor
4x=2
4x/4 = 2/4
Simplify:
Cancel terms that are in both the numerator and denominator
4x/4 = 2/4
X= 2/4
Divid the numbers
X= 2/4
X= 1/2
Solution/ Answer
x= 1/2

Hope this helps


Related Questions

Draw a line representing “rise” and line representing the “run of the line state the slope of the line .state the slope of the line in the simplest form.

Answers

Answer:

  slope 4/5

Step-by-step explanation:

The attachment shows the rise in green (4 grid squares), and the run in red (5 grid squares). The slope is the ratio rise/run.

__

The slope is rise/run = 4/5.

I really need help with this.

Answers

Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

Does the pair of ratios form a proportion?

85 , 42

18 9

Answers

Answer:

Not Proportional

Step-by-step explanation:

85:42 :: 18:9

85 x 9 = 42 x 18

765     =     776

They are not equal, so they cant be proportional.

Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.

Thank you so much

Answers

Its pretty much a.

I’ve had this in my earlier years of schooling.

hhelp plssssssssssssssssssssssssssss

Answers

Answer:

This is false

Step-by-step explanation:

Sequence of 2,-6,-14,-22 determine the n term

Answers

Answer:

[tex]a_{n}[/tex] = - 8n + 10

Step-by-step explanation:

the sequence has a common difference between consecutive terms , that is

- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 8 , then

[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10

Find the value of D of a square and the sides are 4 n 4 n 4 n 4 and D is diagonal

Answers

Answer:

D = 4√2

Step-by-step explanation:

Formula:

In a square with sides each of length ‘a’ :

The diagonal D of the square = a√2

…………………………………………………………

The square ,in our example has 4 sides all of Length 4 ,then

D = 4√2

Find the equation of the line passing through the points (−4,−7) and (−4,−6).

Your answer should take the form x=a or y=a, whichever is appropriate.

Answers

Answer:

y=x-7

Step-by-step explanation:

Rise over run

-6-(-7)

---------- = 0

-4-(-4)

Point Slope form

y+7=0(x+4)

Y=MX + B

y=x-7

The equation of the line passing through the points (−4,−7) and (−4,−6) in the form of a will be a + 4 = 0.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The equation of the line passing through the points (−4,−7) and (−4,−6) will be

y + 6 = [(−6 + 7) / (−4 + 4)] (x + 4)

y + 6 = (1/0)(x + 4)

x + 4 = 0

Put x = a, then the equation will be

x + 4 = 0

a + 4 = 0

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

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z + 15 = 21

z =
help mee please and thank you

Answers

z + 15 = 21
- 15 - 15

z = 6

which is the graph of f(x)=3√x

Answers

Answer: The first graph

Step-by-step explanation:

It's the first one. I don't know how to explain, haha.

You may use k to represent the constant of variation in your working if necessary.

Answers

Answer:

r = 1.6

Step-by-step explanation:

given r varies directly with m² and inversely as n then the equation relating them is

r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation

to find k use the condition r = 18 when m = 6 and n = 4 , then

18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

72 = 36k ( divide both sides by 36 )

2 = k

r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation

when m = 2 and n = 5 , then

r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6

Can you please help me with number 5 asap? Thank you! : )

Answers

Step-by-step explanation:

the manufacturing costs are defined by

m(x) = 25x + 150

the selling revenue is defined by

s(x) = 50 + 30x = 30x + 50

clearly, the selling amount is bigger than the manufacturing amount (also supported by the fact that 30x > 25x). otherwise the company is going bankrupt in no time.

so,

a)

the profit is (as usual) revenue minus manufacturing :

p(x) = 30x + 50 - 25x - 150 = 5x - 100

b)

x = 150

p(150) = 5×150 - 100 = 750 - 100 = $650

since the result is positive, yes, they are making a profit. and it is $650.

Answer:

5.a) p = 5x - 100

b)p = $650

Step-by-step explanation:

5.a)

Revenue minus cost:

p - Profit

p - Profitc - Cost

p - Profitc - Cost - revenue

p = r - c

p = (30x + 50) - (25x + 150)

p = 5x - 100

b) The company will make profit.

p = 5x - 100

p = 5(150) - 100

p = 750 - 100

p = $650

or

p = (30×150 + 50) - (25 × 150 + 150)

p = $650

How is the step by step of this problem

Answers

Answer:

I would edit this answer and tell you what I hope would be the correct answer if you give me the problem you are confused with

Step-by-step explanation:

I can't help you otherwise

Sorry

Based on the picture below what would the genotypes of the parent plants be? Use the other questions to help you answer this.

Thank you so much.

Answers

Answer:

ant sorry you no entendía

Please help me for the 2nd part

Answers

there isn’t an image provided I can’t help unless you give an image

17. A farmer sells com to a restaurant and a grocery store. One week, the farmer sells a combined
total of more than 120 bushels.
Which graph best represents the solution set for all possible combinations of x, the number of
bushels sold to the restaurant, and y, the number of bushels sold to the grocery store, for the
week?

Answers

The graph best represents the solution set for all possible combinations of x and sold to the grocery store, for the week is option D.

Which graph describes the possible combinations sold?

A graph can be described as a pictorial representation of data. The bushels of corn sold is greater than 120. Thus, the shaded area should be above the line and the line should be a straight line.

To learn more about graphs, please check: https://brainly.com/question/21527145

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The pool company has learned that, by pricing a newly released Fun Noodle at $5, sales with reach 8000 Fun noodles per day during the summer Raising the price to $6 will cause the sales to fall to 5000 fun noodles per day

Answers

what's the question???????

Need help with this topic

Answers

Answer: 243 ft^2


Explanation:

width = x
length = 3x
P = length + length + width + width
72 = 3x + 3x + x + x
72 = 8x
x = 9

width = x = 9
length = 3(x) = 3(9) = 27

area = (length)(width)
area = (27)(9)
area = 243 ft^2

What are the measures of ∠CED and ∠BCE in the figure?

Answers

Answer:

∠CED = 70°

∠BCE = 134°

Step-by-step explanation:

Finding z :

∠EDC = ∠ABC (Alternate angles)8z = 64z = 8

Finding ∠CED :

∠CED = 9z - 2∠CED = 9(8) - 2∠CED = 70°

Finding y :

∠CDE = ∠BAC (Alternate angles)70 = 3y + 103y = 60y = 20

Finding ∠BCE :

∠BCE = 7y- 6∠BCE = 7(20) - 6∠BCE = 134°

Answer:

∠CED = 70°

∠BCE = 134°

Step-by-step explanation:

We don't know if AB and DE are parallel (since there are no arrows on these line segments), therefore we cannot use the Alternate Interior Angles Theorem at this point to definitively say that ∠CDE = ∠ABC.

Angles around a point sum to 360°

Angles on a straight line sum to 180°

⇒ ∠ACB + ∠BCE = 180

⇒ ∠ACB + (7y - 6) = 180

⇒ ∠ACB = 180 - (7y - 6)

⇒ ∠ACB = 180 - 7y + 6

⇒ ∠ACB = 180 - 7y + 6

⇒ ∠ACB = 186 - 7y

The interior angles of a triangle sum to 180°

⇒ ∠ACB + ∠CBA + ∠BAC= 180

⇒ 186 - 7y + 64 + 3y + 10 = 180

⇒ 260 - 4y = 180

⇒ 4y = 80

⇒ y = 20

Using the found value of y to find ∠BCE:

⇒ ∠BCE = 7(20) - 6

⇒ ∠BCE = 134°

Angles on a straight line sum to 180°

⇒ ∠DCE + ∠BCE = 180

⇒ ∠DCE + 134 = 180

⇒ ∠DCE = 46°

The interior angles of a triangle sum to 180°

⇒ ∠DCE + ∠CED+ ∠EDC = 180

⇒ 46 + (9z - 2) + 8z = 180

⇒ 17z + 44 = 180

⇒ 17z = 136

⇒ z = 8

Using the found value of z to find ∠CED:

⇒ ∠CED = 9(8) - 2

⇒ ∠CED = 70°

What is the coefficient of x after simplifying the expression?
7y + 4x + 4 - 2x +8

Answers

Answer:

The coefficient of x is 2.

Step-by-step explanation:

1) Add the numbers

7y + 4x + 4 - 2x + 8

7y + 4x + 12 - 2x

2) Combine like terms

7y + 4x + 12 - 2x

7y + 2x + 12

3) Rearrange items

7y + 2x + 12

2x + 7y + 12


I need help on these 2 questions how did I get it wrong? and for question 3 I'm not supposed to have the = sign so what am I supposed to replace it with?​

Answers

Answer:

3.

m + 7 ≥ 20

Subtract 7 on both sides,

m ≥ 20 - 7

m ≥ 13

The answer is m ≥ 13.

( you need to include both > and =, that is ≥ )

4.

2.1x = 23.1

Divide 2.1 on both sides,

x = 23.1 / 2.1

x = 11

Answer:

For problem #3, we are given [tex]m+7\geq 20[/tex] so we would just subtract 7 from both sides to get rid of the 7 on the left and that would end up subtracting 7 from 20 also leaving us with [tex]m\geq 13[/tex].

For problem #4, we are given [tex]2.1x=23.1[/tex] so we would just divide both sides by 2.1 which would get rid of the 2.1 on the left and that would also make us divide 23.1 by 2.1 leaving us with [tex]x=11[/tex].

Hope this helps!  Let me know if you have any questions


f(x) = x² + 2x − 3
Find f (2)
f(2) is equal to type your answer...

Answers

Answer:

f(2) = 5

Step-by-step explanation:

Given: f(x) = x² + 2x - 3

We are asked to find the value of the function when x = 2.

In the function, substitute 2 as the value of x and simplify:

f(2) = (2)² + 2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

When x is equal to 2, the value of the function is 5.

Learn more here:

brainly.com/question/20922457

what is the mean age of a girl on the swimming team?​

Answers

Answer:

15

Step-by-step explanation:

what is the mean age of a girl on the swimming team?​

adding the number of girls together and then dividing by the number of girls

(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =

107 : 7 = 15.28 (you can round at 15)

Isosceles and equilateral triangles
Solve for X

Answers

Answer:

11

Step-by-step explanation:

48 = 4x + 4                           two of its angles are equal in measurement

- 4          - 4

44 = 4x

----    ----

 4       4

11 = x

Round 0.675 to the nearest tenth

Answers

Answer:

0.70

Step-by-step explanation:

it’s 0.70 because the 0.675 is rounded

The 7 is more than 5 so it’s closer to 8 which that you round up the 6 to a 7 and the same thing with 5. So that is how I know it’s 0.70 after rounding it.

Answer:

0.70

Consider the rounding rule for each place.

6 ≈ next tenths

7 ≈ next tenths

5 ≈ next tenths

This is because...

Below 5? Round down.5? Round up.More than 5? Round up.

Simplify: (12j2)5(25j3)2.

Answers

What is the j equal in this equation

Simplified

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Step-by-step explanation:

[tex](((12 \cdot (j2)) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex](((22\cdot3j2) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex]((22\cdot3\cdot5j2) \cdot 52j3) \cdot 2[/tex]

[tex]2^(^2^+^1^) = 2^3[/tex]

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Alannah picked out 10 apples that cost a total of $5. On her way to the checkout counter, she decided she really wanted 12 apples. If all the apples are the same price, how much will Alannah pay for 12 apples? Explain how each child came up with their answer?

Answers

6 dollars for 12

Step-by-step explanation:

if she paid 5 dollars for 10, you would do 10/ 5 which would get you 2 dollars per apple so she would pay 6dollars for 12 apples


How many solutions over the complex number system does this
polynomial have?
3x6x³4x² + 3x+52=0

Answers

Answer:

For this case we have the following polynomial.

We note that the polynomial graph cuts only the vertical axis at one point.

The graph has no other cut points on the x axis

Therefore, the polynomial has:

6 complex solutions

0 real solution

Step-by-step explanation:

HELP PLS

The function of F is defined by f(x)=x+2
find F(n-4)

Answers

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x + 2

The value of f(n - 4) is given as:

f(n - 4) = n - 4 + 2 = n - 2

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

Find out more on equation at: https://brainly.com/question/2972832

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A rug had a length of 9 feet and a width of 3 feet what is the perimeter of the rug

Answers

Answer:

24 ft

Step-by-step explanation:

to find the perimeter of rug is you have to add 9+9+3+3= 24

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