To complete the square for x2 + 8x = -7
you will need to add what number to both sides?
A. -4
B. 12
C. 64
D. 16

The possible vertex of the function is (2, -16).

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Let f(x) = ax² + b x + c be the function required.

Roots are 6 and -2.

Equation can be written in the factorized form as,

(x - 6) (x + 2) = 0

x² - 6x + 2x - 12 = 0

x² - 4x - 12 = 0

f(x) = x² - 4x - 12

Vertex of a function f(x) = ax² + b x + c is (h, k) such that h = - (b/2a) and k = f(h)

h = - (-4/2) = 2

k = f(2) = 4 - 8 - 12 = -16

Hence the vertex of the function is (2, -16).

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450/30

15

15/3x =5

x= 5

5+2y= 315

5-5+2y =315-5

2y = 310

2y/2 = 310/2

y=155

Step-by-step explanation:

450/45

10

2x+4y=450

2×5=10

10+(4×155)

=620/155

=4

10/5=2

Answer:

C (ignore this it asked for 20 characters)

7 is an odd number since it can't be divided evenly by 2.

A negative number taken to an odd power will always be negative.

For example, -1⁵ is -1 because 5 is an odd number.

Answer:

18 is the correct answer

Step-by-step explanation:

to find f(6) you only need to put value 6 in place x and then simple  addotion subtraction

f(6)=4(6)-6

f(6)=24-6

f(6)=18

>3. its less than 3 because it is

Answer:

(-6.5, 3)

7.2units

Step-by-step explanation:

Given the coordinate

A =(-26, -15)

B = (13, 21)

Midpoint of A and B is expressed as;

X = -26+ 13/2

X = -13/2

X = -6.5

Y = -15+21/2

Y = 6/2

Y = 3

Hence the required midpoint is (-6.5, 3)

b) The distance between the coordinate (-6.5, 3) and (0,0) is expressed as;

D = √(-3)²+(0+6.5)²

D = √9+42.25

D = √51.25

D = 7.2units

Hence the distance between the  midpoint and the base camp is 7.2units

Answer:

the answer is already simsplified and there isnt a photo

if you what it factored then the answer would be 2(4x+29)

Answer:

t ≤ 9 hours

Step-by-step explanation:

Reservation fee = $18

Additional fee per hour = $6

Let x = number of hours

At most in inequality means ≤ less than or equal to

The inequality is

18 + 6t ≤ 72

6t ≤ 72 - 18

6t ≤ 54

t ≤ 54/6

t ≤ 9 hours

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Answer:

10 hours

Step-by-step explanation:

Create a proportion where x is the number of hours to travel 5000 miles

[tex]\frac{1000}{2}[/tex] = [tex]\frac{5000}{x}[/tex]

Cross multiply and solve for x

1000x = 10000

x = 10

So, it will take 10 hours.

Answer:

x = 11

Step-by-step explanation:

The given angles are supplementary which means their sum is 180

8x - 6 + 98 = 180 add like terms

8x + 92 = 180 subtract 92 from both sides

8x = 88 divide both sides by 8

x = 11

Answer:

108

Step-by-step explanation:

To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism

Answer:

y=(9,-8)

Step-by-step explanation:

2(2,-4) will give you (4,-8)

therefore y=(4,-8)+5

4+5 which is 9 and nothing will be added to -8

y=(9,-8)

Answer:

y=2x-8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.

Answer:  

shaded Area hexagon = Around 281 squared feet

shaded area square  24 squared inches

Step-by-step explanation:

regular hexagon is made up of 6 equilateral triangles. All sides are equal

The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

Side big hexagon = 12

side small hexagon = 6

BIG    A=  (3√3 144)/ 2 =   374.1230...

small  (3√3 36)/ 2 = 93.5307...

shaded = BIG minus small

374.1230... - 93.5307... = 280.5923... squared feet

BIG SQUARE   diagonal = 8

area of a square using diagonals = ½ × d2 Square units.

= ½ × 64  =   32     Square units.

small square   (diagolal 4)

½ × 16 Square units. = 8  square inches

Area shaded  32-8 = 24 square inches

Answer:

B

Step-by-step explanation:

Answer:

12-3 lily has 9 cats

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

12 - 3 = 9

Answer:

94.24 ft and thank you!

Step-by-step explanation:

Answer:94.24ft

Step-by-step explanation:thx :)

Answer:

4 Seconds

Step-by-step explanation:

Let's say the height of the ground is set at y = 0.

Then, since 16 times 4 is 64, we substitute 4 for x.

But wait! x is being squared!

So we need to find out what squared is 4. It's 2.

So, with x being equal to two, y is equal to 0.

But what is the number of seconds? We actually got it first.

That means that the answer is 4.

The pinecone takes 4 seconds to reach the ground.

midpoint is (-1 and -1.5)

Answer:

Step-by-step explanation:

midpoint rule is    x2+x1 / 2  , y2+y1 / 2

where point one is P1 = (x1,y1) = (4,3)

and point two is P2 = (x2,y2) = -6,-6

for x   then,  -6+4 / 2 = -2 / 2   =  - 1

for y then,  -6+3 / 2 = -3 / 2  =  - [tex]\frac{3}{2}[/tex]

mid point is  ( -1 ,  - [tex]\frac{3}{2}[/tex] )

Answer:

for 9

Step-by-step explanation:

john grabs a piece of kitchen twine, he grabs the whole length of 8 ft. He 1/2 off. He then cuts another half of on each piece of twine. How many pieces of kitchen twine does john have?

Answer:

20.903

Step-by-step explanation:

Answer:

20.203

Step-by-step explanation:

Answer:

5 : 2

Step-by-step explanation:

sum the parts of the ratio, 7 + 2 = 9 parts

Divide the quantity by 9 to find the value of one part of the ratio

45 litres ÷ 9 = 5 litres ← value of 1 part of the ratio , then

7 parts = 7 × 5 = 35 litres

2 parts = 2 × 5 = 10 litres

In 45 litres there is 35 litres of milk and 10 litres of water

Adding 4 litres of water gives

35 : 14 = 5 : 2

Answer:

88.8 cm square

Step-by-step explanation: