Find the zeros
of y= x2 - 6x- 4 by completing the square.
A. X=-3+ 13
B. X=3+ 13
C. X = +3
D. X = 31.5

Answer:

x = -8

Step-by-step explanation:

6x - 3 = -51

Add 3 to each side

6x - 3+3 = -51+3

6x = -48

Divide each side by 6

6x/6 = -48/6

x = -8

Answer:

x = -8

Step-by-step explanation:

[tex]6x - 3 = -51?\\To - find-x- collect-like-terms.\\6x=-51+3\\6x =-48\\Divide-both-sides-of-the-equation-by-6\\\frac{6x}{6} = \frac{-48}{6} \\x = -8[/tex]

Answer:

X < -0.84

Step-by-step explanation:

Answer:

Peter is 20 years old

Step-by-step explanation:

John= 2(Peter's age) (j=2p)

Peter= (Alice's age + 5) (P= A+5)

Okay, so let's substitute the equations now:

John= 2(Alice + 5)

So the equation for 5 years from now is:

2(A+5) + 5 = 3a (because he is 3 times as old as alice)

so, let's solve for that equation:

2a + 10 + 5 = 3a

subtract 2a from both sides:

15= a

so, Alice is going to be 15 years old, so now we can solve for Peter's age:

P= A + 5

P= 15 + 5

P = 20

Peter is 20 years old

I hope this helps! :)

Answer: A

Step-by-step explanation:

Using sohcahtoa you can figure out that the missing side length is 5.98 :)

slope = 1/2,  y intercept = 3

==============================================================

Work Shown:

Pick any two points you want on the line.

I'll pick the two points (0,3) which is the y intercept and also the point (2,4).

------

Find the slope of the line through (x1,y1) = (0,3) and (x2,y2) = (2,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 3)/(2 - 0)

m = 1/2 is the slope

slope = rise/run = 1/2

rise/run = 1/2 means rise = 1 and run = 2.

This means we go up 1 unit each time we move to the right 2 units.

-----

Since the slope is m = 1/2 and the y intercept is b = 3, we can say

y = mx+b

y = (1/2)x+3

this is the same as y = 0.5x+3 since 1/2 = 0.5

Answer:

The initial value of the boat was $20,000

The percent decrease per year of the value of the boat is 10%.

The interval on which the value of the boat is decreasing while Harry has it is (0,10)

Step-by-step explanation:

It is given that the boat costs $20,000 in 2010 when x = 0. So, the initial value of the boat was $20,000.

Next, find the percent decrease per year of the value of the boat. Consider the general form of an exponential equation, y = a(b)x, where a is the initial value of the boat, b is the base of the exponent, x is the number of years after 2010, and y is the value of the boat, in dollars.

Consider the point (1 , 18,000) which lies on the graph of this situation. Substitute x = 1, y = 18,000, and a = 20,000 into the exponential equation and isolate b.

Recall that for exponential decay, b = 1 - r where r represents the decay rate. Substitute b = 0.9 into this equation and solve for r.

So, the decay rate is 0.1, and the percent decrease per year of the value of the boat is 10%.

Harry bought the boat in 2010, and plans on selling it after 10 years in 2020. Therefore, the interval on which the value of the boat is decreasing while Harry has it is [0, 10].

Answer:

C. Multiply her answer by –6 and see if the result is –108.

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

hope this helps c:

Answer:

x² + x - 8

Step-by-step explanation:

(f . g)(x) is same with (f(g(x))

so insert the g(x) equation into f(x) and change the x on it

f(g(x)) = g(x) - 2

f(g(x)) = (x² + x - 6) - 2 = x² + x - 6 - 2 = x² + x -8

so

(f.g)(x) is x² + x - 8

Answer:

1/2

Step-by-step explanation:

For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!

Answer:

Multiply 5 to both sides to get

(x+3)^2 = 100

Step-by-step explanation:

Please refer to the picture above.

Simplify the equation by aiming to eliminate the fraction in the right hand side of the equation by multiplying the denominator to both sides of the equation in step 2

Answer:

[tex](x + 3)^{2}[/tex] = 100

Step-by-step explanation:

Answer: the sum of their measures is 180 degrees

Step-by-step explanation:

I just got it right

The angles R T S and Q T P are vertically opposite angles. So that they always have equal measures.

In given circle, T is center of circle .

and RP and SQ are diameter of circle which are intersecting at center T.

The diagram of circle is attached below.

In the diagram of circle, Angles R T S and Q T P are congruent.

So that,  [tex]\angle RTS=\angle QTP\\\\[/tex]

Since, both diameter are crossing each other.

So that, Angles R T S and Q T P are vertically opposite angles.

Therefore, they always have equal measures.

Learn more about the diameter of circle here:

https://brainly.com/question/1649593

Answer:

[tex]b= \frac{-4}{7} a - \frac{52}{7}[/tex]

Step-by-step explanation:

1st, isolate b.

7b=-4a-52

Next, divide both sides by 7.

b=(-4a/7)-(52/7)

Answer:

y=1/2x-4

Step-by-step explanation

Answer:

Yes, because the median test score increased 5 points.

Step-by-step explanation:

Answer:

Yes, because the median test score increased 5 points

good luck and have a great day

The description that best describes coplanar figures is that  they are contained in the same plane.

This is referred to as the points or lines that are known to be or lie on the same kind of plane.

Note that if for example, points P , Q , and S lie in the same plane C, then they are coplanar and thus The description that best describes coplanar figures is that  they are contained in the same plane.

Learn more about coplanar figure from

https://brainly.com/question/9047265

Answer:

x = 8

Step-by-step explanation:

[tex] {25}^{(x - 20)} = \frac{1}{ {125}^{x} } \\ \\ {5}^{2(x - 20)} = \frac{1}{ {5}^{3x} } \\ \\ {5}^{2x - 40} = {5}^{ - 3x} \\ \\ 2x - 40 = - 3x ..(bases \: are \: equal \: \\ therefore \: exponents \: will \: also \: be \: equal)\\ 2x + 3x = 40 \\ 5x = 40 \\ x = \frac{40}{5} \\ \huge \purple{ \boxed{ x = 8}}[/tex]

Answer:1. $5760

Step-by-step explanation:

Answer:

the answer is 1,200 thats what i got

Step-by-step explanation:

Answer:

A: 120

Step-by-step explanation:

5! means 5 factorial

the factorial of a number is the number times every whole number until 1

in this case,

5 * 4 * 3 * 2 * 1

5 * 4 = 20 , 3 * 2 * 1 = 6

20 * 6 = 120 (option A)

If this helps. please consider giving me brainliest.

Answer:

a 120

Step-by-step explanation:

Answer:

IQR=8

Step-by-step explanation:

write numbers in ascending order

3 6 9 10 12 13

find the middle, in this case, it's two numbers (10 and 12)

3 6 are on the left, find the middle between them; 3+6/2

4.5

12 and 13 are on the right, find the middle between them;

12+13/2

12.5

IQR=12.5-4.5

Answer:

A. w = 26/2 = -13

B. 3n = 20

     n = 20/3

C. -w = 30

     w = -30

D. -2c = 32

       c = -16

E. 4h = -11

     h = -11/4

F. 3.7x = 7.5

        x = 75/37

Answer:

    x = 75/37

Step-by-step explanation:

Answer:

y = - x + 9

Step-by-step explanation:

Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.

So the equation that is perpendicular will look like this so far:

y = -x + b   (b represents our y-intercept that we have not found yet)

Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.

So,  4 = -(5) +b     or     4 = -5 + b

Add 5 to both sides to isolate b on the right side. b = 9

Therefore, the y-intercept is 9.

Now we have found everything we need for the equation, which is

y = - x + 9

Answer:

The answer is

[tex]c = \frac{3m + 5k}{2} [/tex]

Step-by-step explanation:

You have to move all the unrelated terms to the other side :

[tex]3m = 2c - 5k[/tex]

[tex]3m + 5k = 2c[/tex]

[tex]2c = 3m + 5k[/tex]

Next you have to divide it by 2 :

[tex]c = \frac{3m + 5k}{2} [/tex]

Answer:

Step-by-step explanation:

16

Answer:

g(-1) = 1

Step-by-step explanation:

g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

g(-1) = 1

Answer:

70/100 or 7/10

Step-by-step explanation:

As a percentage 70 percent is 70%.

As a fraction because 70 is out of 100 it would obviously be 70/100 but you can simplify to 7/10 and it is still equal to 70%

Answer:

It can would be 4

Step-by-step explanation:

When you multiply exponents you add the exponents

so you get 4^10

Answer:

-5x^4y^3

Step-by-step explanation:

so you divide -25 by 5 and the rule is if it is division for exponents then you subtract the exponent so 6-2=4, 7-4=3, 3-3=0. z^0 is 1 so we don't have to write it out.

Answer:

A, B and E

Step-by-step explanation:

Answer:

21 cm

Step-by-step explanation:

Volume of cone is given by [tex]1/3(\pi r^2h)[/tex]

volume of cylinder is given by [tex]\pi r^2h[/tex]

where r is the radius of base and h is the height

_________________________________

For cone

radius = 42cm

height = 84

volume = [tex]1/3(\pi *42^2*84)[/tex]  (1)

________________________________

For cone

radius = to find let it be r

height =112

volume = [tex]\pi *r^2*112[/tex]  (2)

_______________________________________

since , volume of both solid are same

thus, equation 1 = equation 2

[tex]1/3(\pi *42^2*84) = \pi *r^2*112\\=> r^2 = 1/3((\pi *42^2*84) / 112*\pi \\=> r^2 = 1/3(42*42*84/112) = 441\\=> r = \sqrt{441} \\=> r = 21[/tex]

Thus, radius of cylinder is 21 cm

Answer: a = (V^2 - v^2)/2s

Step-by-step explanation:

The equation for the final velocity is:

V^2 = v^2 + 2*a*s

where V is the final velocity, v is the initial velocity, a is the acceleration and s is the distance.

Now, we want to solve this formula for a, this would mean isolate a in one side of the equation, this is pretty simple, first we pass subtract v^2 in both sides.

V^2 - v^2 = v^2 + 2*a*s - v^2

V^2 - v^2 = 2*a*s

now we can divide by 2*s in both sides:

(V^2 - v^2)/2s = 2*a*s/2s = a

a = (V^2 - v^2)/2s