Which system of equations can be used to find the roots of the equation 4 x squared = x cubed + 2 x?

Answer:

Step-by-step explanation

Write an equation to represent the total servings of hydrated beverages consumed w by m household members during a period of d days.

I thinks 8M times D because the average American drinks 8 servings so that 8M and then you multiply it by however many people are in the house so

8 times members times days

Answer:

[tex]x=36^{\circ}[/tex]  is the required answer.

Step-by-step explanation:

The angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. The Sum of adjacent angles is [tex]180^{\circ}[/tex]

[tex]x+108^{\circ}+x=180^{\circ}\\\\\Rightarrow x=36^{\circ}[/tex]

[tex]108^{\circ}[/tex] represents the internal angle of a pentagon.

Best Regards!

The value of x is,

⇒ x = 36

Since, We have to given that,

The figure is composed of a regular pentagon and a rectangle.

We know that,

Since, Sum of all the angles of a regular pentagon is, 540 degree

Hence, Each angle of a pentagon is,

⇒ 540 / 5

⇒ 108 degree

So, By given figure we get;

⇒ x + 108 + x = 180

(By linear pair angles)

⇒ 2x + 108 = 180

·⇒ 2x = 180 - 108

⇒ 2x = 72

⇒ x = 36

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Answer:

Step-by-step explanation:

x2+5x+6

=x2+3x+2x+6

=x(x+3)+2(x+3)

=(x+2)( x+3)

hence true...

Answer:

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

Step-by-step explanation:

A circle which has center at point(a,b) on coordinate plane and its radius is r, then its equation is represented by

(x-a)^2 + (y-b)^2 = r^2

______________________________________

In the problem

we have

center as (-3,2) while radius is 2 units.

Thus, it equation can be written based on above discussion as

a = -3,  b = 2 r =2

[tex](x-a)^2 + (y-b)^2 = r^2 \\(x-(-3))^2 + (y- 2)^2 = 2^2\\(x + 3)^2 + (y- 2)^2 = 4[/tex]

thus, correct choice is option third.

Answer:

largest # of hours is 9

Step-by-step explanation:

Answer:

my answer in the paper

don't forgotten for press "love"

Answer: 5 : 12 : 30

Step-by-step explanation:

A : C         B : C

1 : 6          2 : 5

Find the LCM of 6 & 5 (which is 30). Then multiply A : C by 5 and B : C by 6 so the C-values are equal for both ratios.

   A : C                  B : C

1(5) : 6(5)          2(6) : 5(6)

=  5 : 30               12 : 30

A = 5, B = 12, C = 30

    5 : 12 : 30

Answer:

9.5 cakes

Step-by-step explanation:

Answer: You can only make 9 whole cakes

Step-by-step explanation:

You have 57 apples and you use 6 apples to make a cake .

To figure out the number of cakes you need to divide 57 by 6

You get 9 whole cakes with 3 apples left

Answer:

132%

Step-by-step explanation:

The population of Peru = 10904

The population of Franklin = 25248.

Difference = 25248-10904=14,344

Expressing as a percentage of the population of Peru

[tex]\dfrac{14344}{10904} X 100[/tex]

=132%

Therefore, the population of Franklin is 132% more than the population of Peru.

Answer:

You have to take 15 pens to get at least one red pencil.

Step-by-step explanation:

If there were one red and 6 green pens, there would be more red than green pens.

If there were 3 or more blue and thus 18 or more green pens, the number of pens would be over 20.

So there must be 2 blue, 12 green and thus 6 red pencils. So you have to take at least 15 pens to be sure that you got a red one.

Answer:

? = 9.

Step-by-step explanation:

According to the AA Theorem, the two triangles are similar.

[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]

30 (? + 54) = 54 * 35

30? + 1620 = 1890

3? + 162 = 189

3? = 27

? = 9

Hope this helps!

Answer:

the slope is 2 and the y intercept is -2

Step-by-step explanation:

y=2x-2

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

the slope is 2 and the y intercept is -2

Answer:

See below

Step-by-step explanation:

Part 1 -

x: number of hours worked

y: total income

This is written as → y = f(x)

Part 2 -

y = 15*x

Part 3 -

f (35) = 15 × 35 = $525

f (29) 15 × 29 = $435

Week 1 - Ashley worked 35 hours with a total income of $525.

Week 2 - Ashley worked 29 hours with a total income of $435.  

Answer:

given,

the points are(-4,-3) and (-7,5)

now, midpoint=

[tex] \frac{x1 + x2}{2} , \frac{y1 + y2}{2} [/tex]

or, midpoint =

[tex] \frac{ - 4 - 7}{2} ,\frac{ - 3 + 5}{2} [/tex]

therefore the midpoint is (-11/2,1)... ans

hope it helps..

Answers:

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

(1, 1), (2, 2), (3, 3), (4,4)

(6,-6)(-6, 6), (5,-5), (-5,5)

Step-by-step explanation:

Functions have one input that corresponds to exactly one output. The inputs must NOT repeat.

The second set is not a function:

(2, 3), (2, 4), (2,5), (2, 6)

The fourth set is not a function:

(1, 3), (-1, 4), (1, 4), (-1,3)

All other sets given are a function because they do not repeat inputs.

Brainilest Appreciated.

Answer:

C

Step-by-step explanation:

Angle CAD and angle BAD are congruent.

10x - 7 = 3x+ 7

10x - 3x = 7 + 7

7x = 14

(7x)/7 = 14/7

x = 2

Plug in x as 2.

10(2) - 7

20 - 7

= 13

Answer:

C

Step-by-step explanation:

Since BD and DC are congruent, we know that DA bisects <BAC.

This means that <BAD and <CAD are congruent.

We can set up an equation for that.

3x+7=10x-7

Subtract 3x from both sides.

3x-3x+7=10x-3x-7

7=7x-7

Add 7 to both sides.

7+7=7x-7+7

14=7x

Divide both sides by 7.

x=2

Plug that back into expression for m<CAD.

10x-7

10(2)-7

20-7

13 degrees.

Answer:

slope = [tex]\frac{7}{5}[/tex]

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 ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)

m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]

Answer:

7/5

Step-by-step explanation:

m=y2-y1/x2-x1

7-0=7

2-(-3)=5

7/5

Answer:

2

Step-by-step explanation:

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

Statements A, B, E, and F are true. The second sample was taken at random using a fair sampling technique.

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

The correct statement is as follows;

A) The second sample is random.

B) The second sample is likely to be more representative of the population.

D) The second sample will give a better representation because is it larger.

F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

The second sample was taken at random using a fair sampling technique.

Because the research using the larger data size is accepted rather than that of the smaller data, community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours.

A research's sample size is a crucial consideration. Additionally, the second sample is probably a better indicator of the broader population.

Hence statements A, B, E, and F are true.

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Answer:

  see below

Step-by-step explanation:

The mapping tells you how to find the vertices of the image:

  (x, y) ⇒ (x +2, y -3)

  S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D

  T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)

  V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)

Answer:

D

Step-by-step explanation:

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve.  Use substitution.  Rearrange the first equation so that it is equal to c.  Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.

[tex]x^{2} -8=-1[/tex]

[tex]x^{2} = -1 + 8[/tex]

[tex]x^{2} = 7[/tex]

x = ±[tex]\sqrt{7}[/tex]

Answer:

x = ±sqrt(7)

Step-by-step explanation:

x^2−8=−1

Add 8 to each side

x^2−8+8=−1+8

x^2 = 7

Take the square root of each side

sqrt(x^2) = ±sqrt(7)

x = ±sqrt(7)

Answer: s=36

Step-by-step explanation:

To solve for s, we can use our algebraic properties to solve.

[tex]\frac{1}{3}s+14=26[/tex]                    [subtract both sides by 14]

[tex]\frac{1}{3}s=12[/tex]                            [multiply both sides by 3]

[tex]s=36[/tex]

Answer:

The answer is s=36

Step-by-step explanation:

Answer:

You've described a system of equations:

x+y=6

x*y=4

The easiest way to solve is with substitution. If you rearrange the first equation, you'll find that y = 6-x. Substitute this into the second to get x(6-x) = 10

This is a quadratic equation that you should be able to solve with the quadratic formula. Be aware that the answers are complex.

Step-by-step explanation:

Answer:

Area: 5 cm squared

Perimeter: 12 cm

Step-by-step explanation:

The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~~`

Here are some:

Step-by-step explanation:

10 = 50

6 = 30

7 = 35

Using ten would have them all equal 50, using 6 would have them all equal 30 and using 7 would have them all equal 35.

Hope this helped you. Brainliest would be nice!

Answer:

Step-by-step explanation:

n = 2,5,10

n=2

[tex]2(2)+3(2)=5(2)\\\\Multiply\\\\4+6=10\\\\Addition\\\\10=10[/tex]

n = 5

[tex]2(5)+3(5)=5(5)\\\\Multiply\\\\10+15=25\\\\Addition\\\\25=10[/tex]

n = 10

[tex]2(10)+3(10)=5(10)\\\\Multiply\\\\20+30=50\\\\Addition\\\\50=50[/tex]

Hope it helps <3

Answer:

Well you make a parabola 2 times more narrow.

move it up 1

Answer:

-2+√19 or x=-2-√19

Step-by-step explanation:

completing the square it results :

x=-2+√19 or x=-2-√19

Answer:

Option (B)

Step-by-step explanation:

Equations of the lines shown in the graph are,

[tex]y=\frac{1}{4}x-2[/tex] and [tex]y=\frac{7}{4}x+4[/tex]

For equation (1),

[tex]y=\frac{1}{4}x-2[/tex]

Slope of the line = [tex]\frac{1}{4}[/tex]

And y-intercept of the line = -2

For equation (2),

[tex]y=\frac{7}{4}x+4[/tex]

Slope of this line = [tex]\frac{7}{4}[/tex]

And y-intercept of the line = 4

From the given graphs in the options,

Graph (B) shows the lines which show the y-intercepts as y = 4 and y = -2

Therefore, Option (B) will be the answer.

Answer:

19-6x

Step-by-step explanation:

2/3(6-9x)+15

=4-6x+15

=19-6x

Answer:

Solution,

[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]

Hope this helps...

Good luck on your assignment..