Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply

Answer:

B C D E

Step-by-step explanation:

B) The creation of new oil fracking methods reduces gasoline costs at the pump.

C) The invention of Bluetooth encourages automakers to create hands-free devices.

D) Concerns about health effects from smog are monitored by well-established methods.

E) Emissions of greenhouse gases promote innovative ideas to monitor environmental

Answer:

The equation of the line passing through the points (-2,0) and (0,-4)

[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] \frac{y - 0}{x - ( - 2)} = \frac{ - 4 - 0}{0 - ( - 2)} = \frac{ - 4}{2} = - 2[/tex]

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

[tex]2x + y = - 4[/tex]

The equation of the line passing through the points (0,-2) and (4,0)

[tex]\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} \: [/tex]

[tex] \frac{y - ( - 2)}{x - 0} = \frac{0 - ( - 2)}{4 - 0} [/tex]

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

[tex]x - 2y = 4[/tex]

Option B

x minus 2 y = 4 and 2 x + y = negative 4

The system of equation can be determine by using formula of equation of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].

The system equation would be [tex]2x+y=-4[/tex] and [tex]x-2y=4[/tex].

Given:

The given points are [tex](-2,0)[/tex] and [tex](0,-4)[/tex] and for another line [tex](0,-2)[/tex] and [tex](4,0)[/tex].

Find the equation line passing through point [tex](-2,0)[/tex] and [tex](0,-4)[/tex] .

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in above equation.

[tex]\dfrac{y-0}{x-(-2)}=\dfrac{-4-0}{0-(-2)}\\y=-2(x+2)\\y=-x-4\\2x+y=-4[/tex]

Find the equation line passing through point [tex](0,-2)[/tex] and [tex](4,0)[/tex] .

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in above equation.

[tex]\dfrac{y-(-2)}{x-0}=\dfrac{0-(-2)}{4-0}\\\\x-2y=4[/tex]

Thus, the system equation would be [tex]2x+y=-4[/tex] and [tex]x-2y=4[/tex].

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Answer:

b

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Health issues are determined by a complex interaction of environmental and genetic factors, which is difficult to predict.

Answer:

432

Step-by-step explanation:

Volume of cuboid:

12 x 4.5 x 5.5 = 297

volume of traingular prism:

(12x5)/2 x 4.5 =135

add them together:

135+297 =432

hope this helps!

So, the required volume of the given wooden block is 432 cubic cm.

The formula for the volume of the rectangular prism is,

[tex]v=l\times b \times h[/tex]

And the formula for the volume of the triangular prism is,

[tex]v=\frac{1}{2} \times b \times h[/tex]

It is given that,

The volume of the wood is equal to the volume of the rectangular prism and triangular prism.

So, by using the above formula we can write as,

The volume of the wood is,

= volume of the wood is equal to the volume of the rectangular prism + triangular prism.

[tex]=l\times b\times h+\frac{1}{2}\times h\times l\\ =12\times 4.5 \times 5.5 +\frac{1}{2} \times 12\times 4.5 \times 5\\=297+135\\=432 cm^3[/tex]

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Answer:

[tex]32[/tex]

Step-by-step explanation:

6p^2+4p, if p=2

[tex]6(2) {}^{2} + 4(2) \\ = 6 \times 4 + 4 \times 2 \\ = 24 + 8 \\ = 32[/tex]

Trapezoid:

•Can have congruent diagonals. •Has one pair of opposite, parallel sides.

Kites:

•Has congruent adjacent sides.

•Has perpendicular diagonals.

Properties of trapezoid and kite are follows

Trapezoid

Kite

Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides.

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

Here,

Trapezoid

Kite

Hence, the properties of trapezoid and kite are follows

Trapezoid

Kite

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Answer:

252.5

Step-by-step explanation:

y = -0.004x^2 + x + 2.5

-0.004x^2 + x + 2.5 = 0

x = 25(5+√26) = 252.5

Let me know fi you need any other help:)

I had this problem on my quiz, I dont know what you mean by + -25 but hope this will help

Answer:

Is this all of the info?

Step-by-step explanation:

Answer:

i am still confuse plz give more info

Step-by-step explanation:

Answer:

[tex]cos(\beta)=\frac{\sqrt{6}}{3}}[/tex]

Step-by-step explanation:

we know that

If the terminal ray of β lies in the fourth quadrant

then

sin (β) is negative and cos (β) is positive

Remember the trigonometric identity

[tex]sin^2(\beta)+cos^2(\beta)=1[/tex]

we have

[tex]sin(\beta)=-\frac{\sqrt{3}}{3}[/tex]

substitute

[tex](-\frac{\sqrt{3}}{3})^2+cos^2(\beta)=1[/tex]

[tex]\frac{3}{9}+cos^2(\beta)=1[/tex]

[tex]cos^2(\beta)=1-\frac{3}{9}[/tex]

[tex]cos^2(\beta)=\frac{6}{9}[/tex]

apply root square both sides

[tex]cos(\beta)=\frac{\sqrt{6}}{3}}[/tex]

Answer:

5.72957795

Step-by-step explanation:

18/pi

Answer:

2 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side/ hypotenuse

sin 60 = x/4

Multiply each side by 4

4 sin 60 =x

We know sin 60  = sqrt(3)/2

4 sqrt(3)/2 =x

2 sqrt(3) =x

Answer:

angle A = 166 degrees

Step-by-step explanation:

so first you have to look at the problem and see what type of relationship the angles have. so if you draw it out yourself, it makes it a little easier and you can see that the two angles are corresponding angles, which means theyre both congruent or, equal.

after you find that out you can set up an equation so,

7x + 40 = 3x + 112

you do the math...

4x + 40 = 112

4x = 72

x = 18

but you cant stop here, you have to plug in x to find teh entire angle A

7 (18) + 40 = ?

126 + 40

166

bam.

Answer:

(x + 2)(x - 7)

Step-by-step explanation:

Given

x² - 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are + 2 and - 7, since

2 × - 7 = - 14 and 2 - 7 = - 5, thus

x² - 5x - 14 = (x + 2)(x - 7)

Answer:

22.90 is the answer i can't write somet

use my computer has problems

I = P*r*t = 800*0.06*2 =

Answer:

r = 10

Step-by-step explanation:

C = 62.8 = 2π·r

62.8 = 2·3.14·r

r = 62.8/2·3.14

= 31.4/3.14

= 10

Answer:

10 miles

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=2r\pi[/tex]

We know circumference is 62.8, so we can substitute it in

62.8=[tex]2r\pi[/tex]

We want to find r, so we have to isolate it.

Divide both sides by [tex]2\pi[/tex] or 2*3.14 which is 6.28

62.8=[tex]2r\pi[/tex]

62.8=6.28r

62.8/6.28=6.28r/6.28

r=10

So, the radius is 10 miles

Answer:

The answer is 10

Step-by-step explanation: You multiply the 2 times twenty to get 40 then multiply the 2 times 2x to get 4x then subtract fourty from both sides and you will get fourty and then divide so 40 divided by 4x equals 10.

Answer:

x=10

Step-by-step explanation:

2x20=40 and 2x2x=4x move the 40 to the other side so 80-40=40 so 4x=40 4x10=40 so 10 should be correct.

hope this helps!

Answer:

x = 7.6

Step-by-step explanation:

Label the values you have on the triangle: The X is opposite, the 33 is your theta (ø) and 14 is your hypotenuse

Plug these values into the equation sin(ø)=o/h making the equation sin(33)=x/14.

Take the 14 and multiply it on the opposite side, making the equation look like this: 14xsin(33)=x

Then plug this into the TI-83/84 calculator and make sure it is degree mode (mode, degree)

Then just round to the nearest tenth. :)

Answer:

[tex]a = \frac{v - u}{t} \: [/tex]

Step-by-step explanation:

[tex]v = u + at[/tex]

[tex]at = v - u[/tex]

[tex]a = \frac{v - u}{t} [/tex]

Answer:

8

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

subtract diffrences

Answer:

Obtuse, right, isoceles, acute

Step-by-step explanation:

Answer:

  -17

Step-by-step explanation:

Each term in the sequence is 5 less than the one before, so the first 4 terms are ...

  -2, -7, -12, -17

The 4th term of the sequence is -17.

__

The general term (an) of the sequence can be written as ...

  an = a1 +d(n -1)

where a1 is the first term and d is the common difference. Here, those are ...

  a1 = -2, d = -5

so the general term is ...

  an = -2 -5(n -1)

We can use this to find the 4th term:

  a4 = -2 -5(4 -3)

  a4 = -17

Answer:

8

Step-by-step explanation:

$30 - $6 for the magazine = $24 ÷ $3 for one candy bar = 8 candy bars

Answer:

8 candy bars

Step-by-step explanation:

6 + 3x = 30

3x = 24

x = 8

The length has to be greater than the absolute difference between the other two lengths, but less than the sum of them. In other words, if your unknown side length is a, and the other two are b and c, then its |b - c| < a < b + c

So, putting in your values, you have 10 - 7 < a < 10 + 7, which is 3 < a < 17

So, your range is from 3 to 17 (non inclusive).

The length has to be greater than the difference between the named two lengths, but less than the sum of them. So 3-17 is your answer.

Answer:

1. a= 1

  b=10

   c=9

2.y=1/2x-1

3. a) y=3x + 0

   b) y=2x+3

   c)3

   d) $9

Step-by-step explanation:

1.   The values in the x-axis increase by 2 hence a=3-2=1  and c=7+2=9. For the y-values, they increase by 1.

2. The equation of the line can be written in the slope form of y=mx+c where m is the gradient of the line and c is the y-intercept

Taking points on the line ; (-2,-2) and (2,0) the gradient m is ;

m=Δy/Δx  Δy=0--2=2  Δx=2--2=4   m=2/4⇒1/2

From the graph c= -1

The equation y=1/2x-1

3

(a) Equation representing Layla fees is;

   Taking points (1,3)  and (2,6)  the gradients is

   m=Δy/Δx   (6-3)/(2-1) = 3/1 =3

    Taking m=3, point (1,3) and (x,y) the equation will be;

    m=Δy/Δx

     3=y-3/x-1  

    3(x-1) = y-3

     3x-3 = y-3

     3x-3+3=y

      y=3x + 0 ------equation for Layla line

(b) Equation representing Sam line for fees is

     Taking points (1,5) and (2,7) where c=3

      m=Δy/Δx

      m=7-5/2-1

      m=2/1 =2

     Equation : y=2x+3

c) The point of intersection of the lines which is 3 days

d)The amount is $9

Answer:

4x - 6 = 4x + 4

-6 not equal to 4

Therefore, the answer is c

No Solutions

Step-by-step explanation:

The graph shows the system of equation has ''No solution.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph of a system of equation shown in figure.

Now, We have;

The graph of system of equation has two parallel lines.

Hence, The graph shows the system of equation has No solution.

Thus, The graph shows the system of equation has ''No solution.''

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Answer:10.35 dollars

Step-by-step explanation: 15% of 9 dollars is 1.35

so you add 1.35 to 9 dollars to find the total cost

The total cost she will have to pay for the toy is $10.35.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given the cost of the toy = $9

sale tax on toy = 15% of the total price

sale tax on toy = 15% of 9

sale tax on toy =  0.15 x 9

sale tax on toy = $1.35

total  cost to pay = $9 + $1.35

total  cost to pay = $10.35

Hence total cost to pay is $10.35.

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Answer:

x = 13°

Step-by-step explanation:

x = 180° - 85° - (180° - 98°)

= 180° - 85° - 82°

= 13°

Answer:

x = 13°

Step-by-step explanation:

x = 180° - 85° - (180° - 98°)

= 180° - 85° - 82°

= 13°

Answer:

84

Step-by-step explanation:

7*3=21*4=84

7 toy cars multiplied by the combination of 3 toy trucks equals 21 then times that by the 4 temp. tattoos, then you get 84