9.

Identify the vertex of the graph. Tell whether it is a minimum or maximum.


A. (–2, 1); minimum

B. (–2, 1); maximum

C. (1, –2); minimum

D. (1, –2); maximum

Answer:

8.07 inches

Step-by-step explanation:

7.29+0.78=8.07

Answer:

y = 1/3x - 17/3

Step-by-step explanation:

Given:

Passes through (2, -5)

m = 1/3

Slope-intercept:

y - y1 = m(x - x1)

y - (-5) = 1/3(x - 2)

y + 5 = 1/3x - 2/3

y = 1/3x - 17/3

Answer:

Step-by-step explanation:

kk

Answer:

is it 7?

Step-by-step explanation:

Answer:

[tex]{ \boxed{a = 3.75}}[/tex]

[tex]{ \boxed{b = 16}}[/tex]

Step-by-step explanation:

[tex](4.46 \times {10}^{9} ) \times (8.4 \times {10}^{6} ) \\ = 3.7464 \times {10}^{16} \: breaths[/tex]

Answer:[tex]454.019\ ft^2[/tex]

Step-by-step explanation:

Given

Diameter of semi-circle is [tex]d=34\ ft[/tex]

So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]

Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]

[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]

Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]

Answer:

8

Step-by-step explanation:

All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8

7 times 0 is 0, so you are left with 8 as your answer

Given:

The function is:

[tex]y=2x^2+3x[/tex]

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

[tex]y=2x^2+3x[/tex]

Substituting [tex]x=-2[/tex], we get

[tex]y=2(-2)^2+3(-2)[/tex]

[tex]y=2(4)+(-6)[/tex]

[tex]y=8-6[/tex]

[tex]y=2[/tex]

Substituting [tex]x=-1[/tex], we get

[tex]y=2(-1)^2+3(-1)[/tex]

[tex]y=2(1)+(-3)[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Substituting [tex]x=0[/tex], we get

[tex]y=2(0)^2+3(0)[/tex]

[tex]y=0+0[/tex]

[tex]y=0[/tex]

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

Answer:

1/18

Step-by-step explanation:

There are 2 ways to get the sum of 11

5,6 and 6,5

therefore 2/36=1/18

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

Answer:

Hi there! The correct answer should be: x is 60 degrees

Step-by-step explanation:

okay, so the equation is:

2x + 60 = 180

which we will solve:

2x + 60 - 60 = 180 - 60

2x = 120

x = 60

Answer:

Hello! answer: 22.96

Step-by-step explanation:

Area is base × height × 1/2 or base × height ÷ 2

Im going to use the second method.

8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96

Answer:

total no of children = 250

let no.of boys be = 3x

let no.of girls be = 2x

equation = 3x+2x= 250

              = 5x= 250

             = x= 250\5

             = x= 50

so, no,of boys = 3x = 3x50 = 150

and no,of boys = 2x = 2x50 = 100

heres ur ans ,

hope it does help u !

if so plz mrk the brainliestt !!!!!

Answer:

m∠RST= m RT= 60°

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

✎--------------

hope it helps...

have a great day!!

Answer:

Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]

Step-by-step explanation:

No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].

Answer:

-33

Step-by-step explanation:

[tex](3^2+4-2)(2^2-3-4)[/tex]

[tex](9+4-2)(4-3-4)[/tex]

[tex](13-2)(1-4)[/tex]

[tex](11)[/tex] · [tex](-3)[/tex]

(-33)

Answer: x-int : (-2,0), (-5,0)

y-int: (0,10)

Step-by-step explanation:

Since these are right triangles, we can use Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

50^2 + 20^2 = c^2

2500 + 400 = c^2

2900 = c^2

c = sqrt[ 100 * 29]

c = 10 sqrt[29]

In the boxes, a = 10, b = 29.

Hope this helps!! :)

Answer:

LOCAL GYM

Step-by-step explanation:

Local gym :

Signup fee = $95 ; monthly cost = $18

6 months cost :

18m + 95

18(6) + 95 = $203

6 months cost at new gym :

$52 per month

Cost = $52 * 6 = $312

The best gym for a 6 month deal is the local gym

Local gym Cost < new gym cost

Answer:

Mike fertilize his lawn with one bag of fertilizer = 19.33 times

Step-by-step explanation:

Given - One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only.

To find - About how many complete times can Mike fertilize his lawn with one bag of fertilizer?

Solution -

Given that,

1 bag of fertilizer can cover approximately 6,000 square feet.

Now,

Mike's Lawn = 300 square feet

He applied fertilizer to 2/3 of his lawn only.

i.e

He applied fertilizer to (2/3)×300 = 200 square feet of lawn

Now,

Total fertilizer left to cover = 6,000 - 200 = 5800 square feet

Now,

Let x be the times for which he fertilize his lawn fully

SO,

300x = 5,800

⇒3x = 58

⇒x = 19.33

∴ we get

Mike fertilize his lawn with one bag of fertilizer = 19.33 times

Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12

Answer:

14.55'

Step-by-step explanation:

Cosine rule

c^2 = a^2 + b^2 - 2ab cos(C)

here

a=11

b=23

C = 150°

Substitute in cosine rule,

c^2 = 11^2 + 23^2 - 2(11)(23) cos (150°)

= 121 + 529 -2 (11) (23) sqrt(3)/2

=211.791

c = sqrt(211.791)

= 14.55

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]

So, 3 quart of water must be added to reach 2 gallon capacity.

Answer:

Group A has greater variability in the data.

Step-by-step explanation:

We use elimination. Clearly, from the MAD, Group A has greater variability in the data.

So, choice 1.

Answer:

BC/EF=AC/DF

• 24/16=21/x

• 3/2=21/x

• 3x=42

• x=14

------------------

Hope it helps....

Have a great day!!!

Answer:

f(x) = - 2(x - 3)² + 2

Step-by-step explanation:

Given

f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )

      = - 2(x² - 6x) - 16

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16

     = - 2(x - 3)² + 18 - 16

     = - 2(x - 3)² + 2

Answer:

[tex]d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673[/tex]

Step-by-step explanation:

Given

[tex]P(Baseball) = 33\%[/tex]

[tex]P(Baseball\ n\ Football) = 90\%[/tex]

[tex]P(Football) = 64\%[/tex]

Required

[tex]P(Baseball\ or\ Football)[/tex]

This is calculated as:

[tex]P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)[/tex]

[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)[/tex]

[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297[/tex]

[tex]P(Baseball\ or\ Football) = 0.673[/tex]

Answer:

12x

Step-by-step explanation:

Combine Like Terms

10x + 2x = 12x