What is the range of f(x) = 2(x+3)^2 + 1?

Answer:

[tex]m = 3 \sqrt{12} [/tex]

[tex]n = 6[/tex]

Step-by-step explanation:

n=1/2 of 12 according to the rule:

right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so n=12/2=6

and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

so

[tex] {m}^{2} + {n}^{2} = {12}^{2} [/tex]

now lets put numbers on formula

[tex] {m}^{2} + {6}^{2} = {12}^{2} [/tex]

from this formula m=

[tex]m = \sqrt{ {12}^{2} - {6}^{2} } = \sqrt{144 - 36} = \sqrt{108} = 3 \sqrt{12} [/tex]

Answer:

its 20

Step-by-step explanation:

Answer:

$46,800

Step-by-step explanation:

3/5 of 240 is 144

144*325 is 46,800

Answer:

b3/5of240 is144thentimesby325.00

Answer:

t=22

Step-by-step explanation:

just add 8 on both sides

Answer:

Angle X is 140°.

All four angles = 360, so 90+90+40=220 and 360-220=140

(Still finding length)

Answer:

130.2 yd²

Step-by-step explanation:

Area of polygon using the length of the side, s, the apothem, a, and the number of sides, n.

A = san/2

A = (6.0 yd)(6.2 yd)(7)/2

A = 130.2 yd²

Answer:

Step-by-step explanation:

7) A

8) D

9) B

10) A

Answer:

A≈12.57cm²

Step-by-step explanation:

A=1

4πd2=1

4·π·42≈12.56637cm²

Answer:

area of a circle with a diameter of 4cm=π(d/2)²

=π(4/2)²=π2²=4π cm ² is your answer or 4×3.16=12.48 cm²

Answer:

784000J or 784KJ

Step-by-step explanation:

Kinetic energy (KE) can be represented with the formula

KE = 1/2(MV²)

where

M = Mass of object (Kg) =2000kg

V = velocity or speed of object in metre per second (m/s or ms^-1) = 28m/s

therefore

KE = 1/2(mv²) becomes

KE = (1/2) X 2000 X 28 X 28

KE = 784000Joules

Answer:

the banana cost per kg is 6 and for orange it is 4

Step-by-step explanation:

The computation is shown below:

Let us assume the banana be x

And, the oranges be y

Now according to the question

There would be two equations

32x + 86y = 536.......(1)

96x + 52y = 784.........(2)

Now multiply by 3 in equation 1

96x + 258y = 1,608

96x + 52y = 784

258y - 52y = 1608 - 784

206y = 824

y = 4

And, the x would be

32x + 86(4) = 536

32x + 344 = 536

x = 6

Hence, the banana cost per kg is 6 and for orange it is 4

Answer:5,8

Step-by-step explanation:

x^2= 3^2 + 5^2

x^2= 9 + 25

x^2= 34

x = (square root)34

x= 5,8

Answer:

x = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )

x = [tex]\sqrt{34}[/tex] ← exact value

x ≈ 5.83 ( to 2 dec. places )

Answer:

8y^3 - 1

I have made it in above picture

Answer:

Step-by-step explanation:

   (2y - 1) × (4y² + 2y + 1) =

= 2y×4y² - 1×4y² + 2y×2y - 1×2y + 2y×1 - 1×1 =

        = 8y³ - 4y² + 4y² - 2y + 2y - 1 =

            = 8y³ - 1

Answer:

try this

Step-by-step explanation:

1/2 (p/11)

slash is the dividing sign

Answer:

( p ÷ 11) ÷ 2

Or

1/2 (p ÷ 11)

Step-by-step explanation:

Half the quotient of p and 11

"the quotient of p and 11" signifies that you have to divide p by 11. And "half the.." signifies that you have to divide the quotient of p/11 in half

Answer: x= 0.32

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40 ÷ 5 = 8

56 ÷ 7 = 8

so then just divide 64 by the one we know, which is 8

64 ÷ 8 = 8

Answer:

i dont think so

Step-by-step explanation:

Step-by-step explanation:

A = -2/3, B = -1 /6, C = 1/2, D = 4/3

Answer:

x = 70°

Step-by-step explanation:

the interior angle which is supplemental to 140° is 40°

the sum of the interior angles of any triangle is 180°

so:

180° = 40° + 2x

subtract 40° from each side of the equation:

2x = 140°

x = 70°

Answer:

3.75 of blue mixed with 12.5 of white is the correct answer

Step-by-step explanation:

We know the blue and white paints are a 1.5 : 5 ratio, and if we have a total of  16.25 by  1.5 by 5.  

1.5 * 2.5 = 3.75

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

5 * 2.5 = 12.5

SO blue is 3.75 and white is 12.5

Answer:

blue is 3.75 and white is 12.5

Step-by-step explanation:

Answer:

Question 3: (D) All real numbers. Question 4: (B) y > 3.

Answer:

Y = 2x + 4

Step-by-step explanation:

As the question said the slope is 2, so you put 2 with x.

The point you are given is (1,6), so you backtrack to X = 0, and since the slope is 2 you subtract 2 from 6. now you're at (0,4), giving you 4.

Answer:

7% of $3200 is $224 or if u meant

$3200 times 7 is still $224 because it’s by7%

Step-by-step explanation:

Answer:

it is a

171 degrees

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Answer:

0.68

Step-by-step explanation:

miles=13

hour=19

Now,

Speed=Velocity/Time Taken

=13/19

=0.6842miles/hour

Answer:

5x^2-5

Step-by-step explanation:

Answer:

it it 5x^2-5

Step-by-step explanation:

Answer:

81 ft

Step-by-step explanation:

Answer:

figure it out

Step-by-step explanation:

Answer:10 dollars and 50 cents

Step-by-step explanation:315 divided by 30

Answer:

B

Step-by-step explanation:

I did the assignment and got 100

Answer:

B. 14 + two-thirds x

Step-by-step explanation: