solve for x

i really need help

Answer:

[tex]g(x) = 4(x - 2)^2 -9[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 4x^2 - 16x + 7[/tex]

Required

Complete the square

Rewrite so that [tex]x^2[/tex] has 1 coefficient

[tex]g(x) = 4(x^2 - 4x) + 7[/tex]

Take half of the coefficient of x

[tex]\frac{4}{2} = 2[/tex]

Square the result

[tex](\frac{4}{2})^2 = 2^2[/tex]

[tex](\frac{4}{2})^2 = 4[/tex]

Add and subtract the result in the bracket

[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]

Expand the bracket to remove -4

[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]

[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]

Expand the bracket

[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]

Factorize

[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]

Factor out x - 2

[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]

Express as square

[tex]g(x) = 4(x - 2)^2 -9[/tex]

Answer:

A) -15

Step-by-step explanation:

Answer:

A. - 15

Step-by-step explanation:

Got it right

Answer:

BD is a diameter

Step-by-step explanation:

Answer:

That happens at x = 6. ....

Answer:

[tex]Pr = \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]n = 4[/tex]

Required

Probability that you seat on the far left

First, we calculate the total possible seat arrangements.

This is calculated using:

[tex]Total =n![/tex]

[tex]Total =4![/tex]

[tex]Total =4*3*2*1[/tex]

[tex]Total =24[/tex]

Next, the possible seat arrangements if you seat at the far left.

This implies that you can only seat 1 spot while your friends (3) can seat on any of the remaining 3 seats.

i.e.

[tex]You \to 1[/tex]

[tex]Friend\ 1,2,3 \to 3,2,1[/tex]

The number of arrangement is:

[tex]Arrangement = 1 * 3 *2 *1[/tex]

[tex]Arrangement = 6[/tex]

The required probability is:

[tex]Pr = \frac{Arrangement}{Total}[/tex]

[tex]Pr = \frac{6}{24}[/tex]

Simplify

[tex]Pr = \frac{1}{4}[/tex]

Answer:

100%

Step-by-step explanation:

The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.

Answer:

Step-by-step explanation:

use the slope formula

Answer:

1) 3/2  2) 1  3)-5/3  4) 5/4  5) -5/9  6) 4/5  7) 8/5  8) 1/4  9) 1/2  10) 2/3  11) 0  12) -1/3  13) 1  14) -1

Step-by-step explanation:

Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

Answer:

32 ounces

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 16 x 2 = 32 ounces

Answer:

A - B - C

Step-by-step explanation:

Answer: A C D

Step-by-step explanation:

Given:

Width of the canvas = 49 inches

The height of the canvas is 3 inches less than the width.

To find:

The area of the canvas.

Solution:

It is given that,

Width of the canvas = 49 inches

The height of the canvas is 3 inches less than the width

So, the height of the canvas is:

[tex]h=49-3[/tex]

[tex]h=46[/tex]

We know that the shape of the canvas is a rectangle and the area of the rectangle is:

[tex]A=length\times width[/tex]

The two dimensions of the canvas are  46 inches and 49 inches. So, the area of the canvas is:

[tex]A=46\times 49[/tex]

[tex]A=2254[/tex]

Therefore, the area of the canvas is 2254 square inches.

Answer:

x = 2.52

feel free to hit the crown

Answer:

2.52

Step-by-step explanation:

30.16 - 17.56 = 12.6

12.6 / 5 = 2.52

To verify if you plug it in, 30.16 = 17.56 + 5(2.52)

I hope it helped :)

Answer:

-0.8    -3/4    -2/3     -2/5

Step-by-step explanation:

Answer:

-3/4, -0.8, -2/3, -2/5

Step-by-step explanation:

Answer:

∠RSQ and ∠RSV are supplementary because they form a straight line

Step-by-step explanation:

∠RSQ and ∠WXV are congruent because they are alternate-exterior ∠'s

∠RSQ and ∠UVS are congruent because they are corresponding angles

∠RSQ and ∠TSV are congruent because they are vertical angles

Answer:

A) -10 + (-10)

Step-by-step explanation:

Answer:

x>-20/7

Step-by-step explanation:

Answer:

x > 2.8671

Step-by-step explanation:

Answer:

120cm^3

Step-by-step explanation:

With the radius of 6, multiply 6 by itself to square it.

36

Then multiply that by the height of 10

360

Lastly divide by 3

120cm

Answer:

120

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The lines touch along every point so they are on top of each other.

The given system of equations represent two coinciding lines.

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

A linear equation in two variables represent a straight line.

As system of equations in two variables can be represented as

a₁x + b₊y + c₁ = 0

a₂x + b₂y + c₂ = 0

When there are two such equations having infinite solutions the relation between the coefficients is given as,

a₁/a₂ = b₁/b₂ = c₁/c₂

It implies that there are infinite points common between them which is possible only when these two lines are coinciding.

Hence, the graph of corresponding two lines in the x- y plane represents coinciding lines.

To know more about system of equations click on,

brainly.com/question/24065247

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csc theta = 29/30

Step-by-step explanation:

sec theta = hypotenuse/adjacent = 29/21

where hypotenuse = 29 and adjacent = 21

We can use these values and Pythagorean theorem to find the value of the opposite side:

(opposite)^2 = (hypotenuse)^2 - (adjacent)^2

= (29)^2 - (21)^2

= 400

or

opposite = 20

Therefore,

csc theta = hypotenuse/opposite = 29/20

Answer:

180 - (52 + 28) = x and then x = 100.

Step-by-step explanation:

A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.

The equation we used to find that is: 180 - (52 + 28) = x.

52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.

Answer:

Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula

Step-by-step explanation:

Answer:

1.5 hours

I traveled farther

2 miles

Step-by-step explanation:

My speed

Speed of my friend

Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let  be the time taken to meet

So, we meet each other after 1.5 hours.

Distance traveled by me

Distance traveled by my friend

Answer:

20 1/4

Step-by-step explanation:

since 4 1/2 we need to change the  denominator  1/2 x 2 = 2/4 now multiply      

4 2/4 x 5 3/4 = 20 1/4

Answer:

B is right becuase out of all of the answers this one is the least value with 26

Step-by-step explanation:

Answer:

1. 37.5 (70*0.50)

2. 12 (60*0.20)

3. 45 (60*0.75)

Step-by-step explanation:

m * p

(percentage in decimal form)

Answer:

-14i + 5

Step-by-step explanation:

( 6 - 21i ) - ( 1 - 7i )

6 - 21i - 1 + 7i

-21i + 7i + 6 - 1

-14i + 5