Find the roots. List your steps correctly. 2 points each (Show ALL steps of work, check each answer, and state the solutions correctly for full credit) a. f (n) = n2 − 6n − 16

Answer: the first one y<=1/2x+2

Step-by-step explanation:

It intercepts at 2

It’s less than because the solution area is at the bottom part of the graph

1/2 because from the y-intercept you can go up 1& over 2

Answer:

30

Step-by-step explanation:

List the factors

6 = 2*3

3 =3

5 = 5

The least common multiple is 2*3*5 = 30

The least common denominator is 30

Answer:

30

Step-by-step explanation:

6= 6,12,18,24,30

3= 3,6,9,12,15,18,21,24,27,30

5= 5,10,15,20,25,30

Answer:The answer is C)5 if you need help understanding how I got this answer let me know and I'll gladly explain!

Answer: C) 5

Step-by-step explanation: Use distance formula: [tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^2 }[/tex]

Plug in respected values [tex](0,-3) = (x_{1},y_{1})[/tex] and [tex](4,0) = (x_{2},y_{2})[/tex]

Then Solve

Answer: 31.25

Step-by-step explanation:

4.5 x 3 = 12.5

12.5 x 2.5 = 31.25

Answer:

2

Step-by-step explanation:

Since this is a right triangle we can use trig functions

cos theta = adj / hypotenuse

cos 60 = 5/x

.5 = 5/x

Flip each side

1 / .5 = x/5

2 = x/5

Answer:

288

Step-by-step explanation:

360/5 = 72

72x4 = 288

Answer:

102

Step-by-step explanation:

You can split that shape up into 2 rectangles to make it easier get the area of each rectangle and add them together.

Step 1

Identify the width and height

Step 2

Multiply the sides to get the answer

For example if we split the shape we will have 9,10 and 2,6

9 times 10 is 90

and 2 times 6 is 12

Add the 2 and get 102

Hopefully this helped.

Answer:

120

Step-by-step explanation:

You add the angles up and the angles add up to 120.  61+59=120

Answer:

A. 5%

Step-by-step explanation:

1/20 can be changed into a percentage.

1/20 = 0.05

5/100 = 5%

1/20 as a percent is 5%.

Answer:

A. 5%

Step-by-step explanation:

1/20 = 0.05

0.05 * 100% = 5%

Answer:

Option (2), (3) and (4)

Step-by-step explanation:

Let the equation of the line representing the given table is,

y - y' = m(x - x')

where 'm' = slope of the line

(x', y') is the point lying on the line.

Let the two points (-6, -10) and (-4, -9) lie on the line

Slope 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

               = [tex]\frac{-9+10}{-4+6}[/tex]

               = [tex]\frac{1}{2}[/tex]

Equation of the line passing through (-4, -9) with slope [tex]\frac{1}{2}[/tex] will be

y - (-9) = [tex]\frac{1}{2}(x+4)[/tex]

y + 9 = [tex]\frac{1}{2}(x+4)[/tex]

Equation of the line passing through (-6, -10) with slope = [tex]\frac{1}{2}[/tex]

y - (-10) = [tex]\frac{1}{2}(x+6)[/tex]

y + 10 = [tex]\frac{1}{2}(x+6)[/tex]

Equation of the line passing through (6, -4) and slope =  [tex]\frac{1}{2}[/tex]

y + 4 = [tex]\frac{1}{2}(x-6)[/tex]

Therefore, Options (2), (3) and (4) will be the answer.

Answer: A. g(x) = -x^2-4

Step-by-step explanation:

y-intercept is -4

You can determine if the slope of the graph is negative or positive based on if it is going up or down

example: x^2 going up, -x^2 going down.

Answer:

A

Step-by-step explanation:

Answer:

The first one

Answer:

There would be approximately 28,267 per square mile.

Step-by-step explanation:

There are 7,400,000,000 people in the world. The state is 261,787 square miles.

7,400,000,000/261,787 = 28,267.2554 → 28,267

Answer: Option no. C 486/11

The requried slope of the hill which is 11 yd tall and 486 yd long is 11/486. Option D is correct.

To find the slope of a hill, we can use the formula: slope = rise/run.

In this case, the rise refers to the vertical change, which is the height of the hill, given as 11 yd. The run refers to the horizontal change, which is the length of the hill, given as 486 yd.

Using the formula, we can calculate the slope:

slope = rise/run

slope = 11 yd / 486 yd

To simplify the slope, we can divide both the numerator and the denominator by the greatest common divisor, which is 1 in this case:

slope = 11 / 486

Therefore, the slope of the hill is 11/486.

Learn more about slope here:

https://brainly.com/question/28567972

#SPJ4

Answer:

22

Step-by-step explanation:

The median is the middle number. Because the middle numbers are 21 and 23, the true middle number is what is between... 22

Answer:

C

Step-by-step explanation:

29 = 7y -4 +y+6

29 = 8y+2

8y = 27

y = 27/8

y =. 3.375

The midpoint of a line is the middle of the distance between two points. The value of y if  is the midpoint of AC is 3.375

The midpoint of a line is the middle of the distance between two points. Given the following parameters

MN = 7y - 4, and;

NP= y + 6

MP = 29

If N is between M and P.  hence;

MN + NP = MP

Substitute

7y-4 + y + 6 = 29

8y + 2 = 29
8y = 27

y = 27/8

y = 3.375

Hence the value of y if   N is between M and P is 3.375

Learn more on midpoint here: https://brainly.com/question/5566419

#SPJ9

Answer:

the answer is 2(pi)5

Step-by-step explanation:

the formula for circumfrence is 2(pi)r, and r in this case is 5

Answer:

The formula for circumference is 2πr, and r is 5 in this problem. Therefore, the circumference can be expressed using the expression 2π5, or 10π. Hope this helped!

Answer:

x=21978/35

Step-by-step explanation:

Steps:

1: Step 1: Simplify both sides of the equation

241 14 + 83 7 = x 11 9 (55) 12 241 14 + 83 7 = 5 108 x ( 241 14 + 83 7 )= 5 108 x(Combine Like Terms) 407 14 = 5 108 x 407 14 = 5 108 x

2: Step 2: Flip the equation

5/108x=407/14

3:  Step 3: Multiply both sides by 108/5.

(1085)*(5108x)=(1085)*(40714)

Answer: x=21978/35

Plz mark brainliest

Hope this helps.

Answer:

x = 10

BD = 74

Step-by-step explanation:

Find x by setting 3x+7 equal to 37. Solve for x by subtracting 7 on both sides then divide by 3 to get x=10.

Since 37 is half of AC, multiply that by 2 to find AC or BD, which are the exact same length of 74.

Answer:

x=10 and BD=74

Step-by-step explanation:

In a rectangle, the two parts of the diagonals are always equal to each other. This means that AE=CE=BE=ED.

So, if AE is 3x+7, this means DE and BE are also 3x+7, so BD is twice that, or 2(3x+7) which when you multiply it is 6x+14.

Oh, also, since it says CE=37, this means that 3x+7=37

3x+7=37

    -7   -7

3x=30

x=10

Now that you know that BD is 6x+14, and x is 10, simply multiply it.

6(10)+14=BD

60+14=BD

74=BD

Answer:

a:b = 14 : 15

Step-by-step explanation:

The equation is 2a−3b/5 = a+b/3

To find the ratio you will find the fraction of a/b. Therefore,

2a−3b/5 = a+b/3

(10a - 3b)/5 = (3a + b)/3

cross multiply

3(10a - 3b) = 5(3a + b)

30a - 9b = 15a + 5b

collect like terms

30a -15a - 9b - 5b = 0

15a - 14b = 0

15a = 14b

divide both sides by b

15a/b = 14

divide both sides by 15

a/b = 14/15

Therefore,

a:b = 14 : 15

Answer:

14:1

Step-by-step explanation:

this is right

Answer:

y-intercept is at (0, 0.4)

x-intercept is at (0.3,0)

Step-by-step explanation:

y-intercept is where the line intercepts the y axis and x-intercept is where the line intercepts the x axis.

Answer:

7.96

Step-by-step explanation:

50/3.14

15.92

15.92/2

7.96

Answer:

7.96

Step-by-step explanation:

50/2 = 25

25/3.14 = 7.96

Answer:

B) -1-6 x +15 = x - 15 +15

Step-by-step explanation:

Explanation:-

Given equation is  –1 – 6 x = x – 15

By addition property of equality

                       ⇒     - 1 - 6 x + 15 = x - 15 +15

                      ⇒      - 6 x + 14  = x

subtracting 'x' on both sides ,we get

                       ⇒      - 6 x -x +14 =0

                        ⇒      - 7 x +14 =0

                         ⇒      -7 x = - 14

   Dividing '-7'  on both sides , we get

                                 x  = 2

The solution of given equation is    x  = 2

Answer:

-1-6x+15=x-15+15

Step-by-step explanation:I took the test

Answer:

B.

0.00557<0.0056<0.0061

Line up the decimal points and see which number is smallest

0.061

0.052

0.061>0.052

Hope this helps

Step-by-step explanation:

Answer:

1 1/2x - 1

Step-by-step explanation:

The slope is (2--4)/(2--2)=3/2.

The y-intercept is -1

the answers are not so clear, i'll edit to give you an option if you make it clearer

Answer:

d

Step-by-step explanation:

y = 9

Answer:

b gives you more free rice

Step-by-step explanation:

....hope it helps

inform if wrong!!

Answer:

Step-by-step explanation:

y - 1 = 2(x + 3)

y - 1 = 2x + 6

y = 2x + 7