Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?

Answer: - 1/3 I just saw the other answer and got it wrong so I decided to give u guys the right answer !! :)

Answer:

{4, - 1}

Step-by-step explanation:

Given

2y² - 6y - 8 = 0 ← in standard form

with a = 2, b = - 6, c = - 8

Using the quadratic formula to solve for y

y = ( - (- 6) ± [tex]\sqrt{(-6)^2-(4(2)(-8)}[/tex] ) / (2 × 2)

  = ( 6 ± [tex]\sqrt{36+64}[/tex] ) / 4

  = ( 6 ± [tex]\sqrt{100}[/tex] ) / 4

  = ( 6 ± 10 ) / 4

x = [tex]\frac{6+10}{4}[/tex] = [tex]\frac{16}{4}[/tex] = 4

OR

x = [tex]\frac{6-10}{4}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1

Solution is { 4, - 1 }

Answer:

(20+2)(10+9)

Step-by-step explanation:

The area model is written as (a+b)(c+d). To write a multiplication problem into an area model, split it into numbers which add to it. Multiples of 10 are most commonly used.

For example 22*19 becomes (20+2)(10+9).

Answer:

45/1 and 180/4

Step-by-step explanation:

1. True

[tex]\dfrac{90}{2}=\dfrac{45\cdot 2}{1\cdot 2}=\dfrac{45}{1}[/tex]

2. False

[tex]\dfrac{15}{3}=\dfrac{3\cdot 5}{3\cdot 1}=\dfrac{5}{1}\neq \dfrac{45}{1}[/tex]

3. False

[tex]\dfrac{180}{3}=\dfrac{60\cdot 3}{3\cdot 1}=\dfrac{60}{1}\neq \dfrac{45}{1}[/tex]

4. True

[tex]\dfrac{180}{4}=\dfrac{45\cdot 4}{1\cdot 4}=\dfrac{45}{1}[/tex]

5. False

[tex]\dfrac{270}{8}=\dfrac{135\cdot 2}{4\cdot 2}=\dfrac{135}{4}\neq \dfrac{45}{1}[/tex]

Answer:

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

Step-by-step explanation:

The rational roots theorem tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

In your case, for the polynomial [tex]f(x)=3x^3-5x^2-12x+20:[/tex]

So, possible rational roots can be among:

[tex]\pm1,\pm2,\pm4,\pm5,\pm10,\pm20,\pm\dfrac{1}{3},\pm\dfrac{2}{3},\pm\dfrac{4}{3},\pm\dfrac{5}{3},\pm\dfrac{10}{3},\pm\dfrac{20}{3}.[/tex]

Note that

[tex]f(-2)=3\cdot (-2)^3-5\cdot (-2)^2-12\cdot (-2)+20=-24-20+24+20=0.[/tex]

This means that [tex]x=-2[/tex] is a root of the polynomial and [tex]x-(-2)=x+2[/tex] is the factor. Also

[tex]f(2)=3\cdot 2^3-5\cdot 2^2-12\cdot 2+20=24-20-24+20=0.[/tex]

This means that [tex]x=2[/tex] is a root of the polynomial and [tex]x-2[/tex] is the factor. Also

[tex]f(\frac{5}{3})=3\cdot (\frac{5}{3})^3-5\cdot (\frac{5}{3})^2-12\cdot \frac{5}{3}+20=\frac{125}{9}-\frac{125}{9}-20+20=0.[/tex]

This means that [tex]x=\frac{5}{3}[/tex] is a root of the polynomial and [tex]x-\frac{5}{3}[/tex] is the factor.

Then

[tex]f(x)=3(x+2)(x-2)(x-\frac{5}{3}).[/tex]

Answer:

It makes sense for the answer to be 86 degrees since it's almost a right angle.

Answer:

The correct answer is option C.   86°

Step-by-step explanation:

From the figure we can see a circle.

To find the measure of <PRQ

Consider the triangle PQR,

<PRQ  = <PTR + <RPT

From the figure we get,

<PTR = 102/2 = 51

<RPT = 70/2 = 35

<PRQ  = <PTR + <RPT

51 + 35 = 86°

Therefore the correct answer is option C.   86°

Answer:

1 hour 95 min. 2 hour 190 min. third hour 285 min. fourth hour 380 min.

Step-by-step explanation:

It's C that's correct!

Since there's a total of 30 strawberries and Yuki ate 12 strawberries, there will be 18 strawberries left.

To find the percentage of the amount that remained:

18/30 × 100 = 60%

Therefore the correct option is A

Answer:

Yuki picked strawberries and placed them in a basket. Yuki ate 12 of the 30 strawberries she picked. What percentage of the strwaberries she picked remain in her basket?  

A: 12%

B: 30%

C: 60%

D: 100%​

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

30 - 12 = 18

18 / 30 × 100 = 60

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Given

3x³ - 6x² - 24x ← factor out common factor of 3x from each term

= 3x(x² - 2x - 8) ← factor the quadratic

Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.

The factors are - 4 and + 2, since

- 4 × 2 = - 8 and - 4 + 2 = - 2, thus

x² - 2x - 8 = (x - 4)(x + 2) and

3x³ - 6x² - 24x = 3x(x - 4)(x + 2)

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Answer:

15 floors

Step-by-step explanation:

She parks on the third floor below ground +3

She goes up to the twelfth floor +12

3+12=15

Errrrrrr what following. I know that you need to separate the parts into simple shapes eg:triangle and then find the area of all the shapes and add up. All the shapes should make up the shaded area.

Answer:

b

Step-by-step explanation:

Answer:

  40 miles

Step-by-step explanation:

You can recognize the right triangle as a 3-4-5 right triangle with a scale factor of 8. So the length of the hypotenuse is 8·5 = 40 miles.

___

Or, you can use the Pythagorean Theorem, which tells you that the sum of the squares of the leg distances will equal the square of the straight-line (hypotenuse) distance:

  32² + 24² = h²

  1024 +576 = h² = 1600

  h = √1600 = 40 . . . . miles

Answer:

the surface area of the rectangular prism is 172m

Answer:

4/5 + 5/5 = 9/5

Step-by-step explanation:

That's one of many ways you can do it

I think that he answer is 1 4/5

Answer:

m=3

Step-by-step explanation:

Formula for m is m=-1/m

m=-1/3

Answer:

20 i think

Step-by-step explanation:

because their is 2 parts of the rhombus and they are both equal sides so if the one side is 10ft. then the other side is 10ft. and if you add 10+10 you get 20.

For this case we must solve the following inequality:

[tex]x-2> 2x + 12[/tex]

We follow the steps below:

We subtract 2x on both sides of the inequality:

[tex]x-2-2x> 2x + 12-2x\\-x-2> 12[/tex]

We add 2 to both sides of the inequality:

[tex]-x> 14[/tex]

We multiply by -1 on both sides of the inequality, taking into account that the sense of inequality changes:

[tex]x <14[/tex]

Answer:

[tex]x <14[/tex]

Answer:

The guys above is wrong because it should be x < -14 because you have to balance out both sides of the equation, you can't just do something to one side of the equation and not do it to the other.

Step-by-step explanation:

Final answer:

The solution (40, 50) to the system of equations indicates that after 40 minutes, Laura has read 40 pages and Carl, with a head start, has read a total of 50 pages, option D.

Explanation:

The solution to the system of equations (40, 50) represents the amount of time Laura has spent reading and the number of pages both Carl and Laura have read. In this context, 'x' represents the number of minutes Laura has been reading her copy of the book, and 'y' represents the number of pages each person has read. Therefore, the solution (40, 50) means that after Laura has been reading for 40 minutes, Laura has read 40 pages, and Carl, who had a 10-page head start, has read a total of 50 pages.

Any number raised to the power of 0 equals 1.

(-481)^0 = 1

Answer:

1

Step-by-step explanation:

All numbers to the power of 0 is 1 with this reason:

x³

x² = x³/x

x¹ = x²/x

x⁰ = x/x

All numbers divided by itself is 1.

Answer:

b. 26cm

oop I didn't realize this was in 2019:-:

Answer:

Step-by-step explanation:

[tex]\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D[/tex]

Y = mx + b

2x + 3y = 12

3y = -2x + 12

y = -2/3 + 4

Answer:

y = -2/3x +4

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

2x+3y = 12

We need to solve for y

Subtract 2x from each side

2x-2x+3y = -2x+12

3y = -2x+12

Divide by 3

3y/3 = -2/3 x +12/3

y = -2/3x +4

Answer:

78.75 cm³

Step-by-step explanation:

Volume = Width × Height × Length

V = 5 × 4.5 × 3.5

V = 78.75 cm³

Answer:

3.5 blocks.

Step-by-step explanation:

After walking 3.5 blocks back she is back at her starting point.

Marilyn has walked 7 blocks in total, going the wrong direction and back to the library. She still needs to walk another 3.5 blocks to reach her house.

Marilyn has already walked 7 blocks (3.5 blocks in the wrong direction and 3.5 blocks back to the library). As her house is 3.5 blocks from the library, she has another 3.5 blocks to walk.

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Answer:

angle Y = 90 degrees

Step-by-step explanation:

Since it is stated that angle x forms a straight line with the 50 and 50 degree angles, and that angle x is vertical to angle y, we can do 40+50+y=180 to find angle Y.

Answer:

From the information, we know that the plate will hold 3 pieces of sushi, each with a diameter of 1 1/2 inches, and there be 1/2 inch space from the edge of the of the suchi to the edge of the plate.

The diamter of the suchi plates we need to puchase should be the sum of the diameter of the sushi and the the space between them and the edge of the plate:

  (3 . 1 1/2) + (2 . 1/2)

= (3 . 3/2) + 1

= 9/2 + 1

= 9/2 + 2/2

= 11/2 = 5.5 (inches)

Answer:

From the information, we know that the plate will hold 3 pieces of sushi, each with a diameter of 1 1/2 inches, and there be 1/2 inch space from the edge of the of the suchi to the edge of the plate.

The diamter of the suchi plates we need to puchase should be the sum of the diameter of the sushi and the the space between them and the edge of the plate:

  (3 . 1 1/2) + (2 . 1/2)

= (3 . 3/2) + 1

= 9/2 + 1

= 9/2 + 2/2

= 11/2 = 5.5 (inches)

Congruent because it contains the same angle measures and shape.

Answer:

congruent

Step-by-step explanation:

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let [tex]x_1[/tex] be the number of widgets sold and [tex]x_2[/tex] be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

[tex]x_1+x_2=350...(1)[/tex]

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

[tex]35x_1+22x_2=9,000...(2)[/tex]

From equation (1), we will get:

[tex]x_2=350-x_1[/tex]

Substitute this value in equation (2):

[tex]35x_1+22(350-x_1)=9,000[/tex]

[tex]35x_1+7,700-22x_1=9,000[/tex]

[tex]13x_1+7,700=9,000[/tex]

[tex]13x_1+7,700-7,700=9,000-7,700[/tex]

[tex]13x_1=1,300[/tex]

[tex]\frac{13x_1}{13}=\frac{1,300}{13}[/tex]

[tex]x_1=100[/tex]

Therefore, the company sold 100 widgets.

Substitute [tex]x_1=100[/tex] in equation (1):

[tex]100+x_2=350[/tex]

[tex]100-100+x_2=350-100[/tex]

[tex]x_2=250[/tex]

Therefore, the company sold 250 gizmos.

Answer:

  x1 + x2 = 350

Step-by-step explanation:

The total number of items sold is the sum of the number of widgets sold and the number of gizmos sold:

  (widgets sold) + (gizmos sold) = total items sold

We are supposed to represent widgets sold using x1, and gizmos sold using x2. The total number of items sold is given in the problem statement as 350. Substituting these values into the above equation, we get the equation you're looking for:

  x1 + x2 = 350

Answer:

that depends

Step-by-step explanation:

how many students are in the school all together, see you would do the 3 boys over the number of people (or students) in the school

hoped this helped a little

Number of people who ate fewer than two apples last week is 10.

The Correct option is (C)

Data are individual pieces of factual information recorded and used for the purpose of analysis.

It can be seen from the graph that,

0 apples eaten by 1 people

1 apples eaten by 9 people

2 apples eaten by 4 people

3 apples eaten by 5 people

4 apples eaten by 0 people

5 apples eaten by 7 people.

According to Condition,

people ate fewer than 2 apples last week= 1+9

                                                                     =10

Thus, 10 people ate fewer than 2 apples last week.

Learn more about data here:

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