guys plz solve this 3 question​

Answer:

a) 30feet

b) 9.12feet

Step-by-step explanation:

a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12​, where;

x is the​ ball's horizontal distance in feet from​ Amaya's position

y is the distance in feet from the ground to the ball.

The ball will be at the maximum height when dy/dx = 0

Differentiate the function:

dy/dx = 2(-0.02)(x-18)^(2-1)+0

dy/dx = -0.04(x-18)

Equate the resulting expression to zero and find x as shown;

-0.04(x-18) = 0

Open the parentheses

-0.04x+0.04(18) = 0

-0.04x+0.72 =0

-0.04x = -0.72

x = -0.72/-0.04

x = 18ft

Hence the ball is 18ft away from Amaya when it is at its maximum height

b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:

y=-0.02(x-18)²+12

y = -0.02(30-18)²+12

y= -0.02(12)²+12

y = -0.02(144)+12

y = -2.88+12

y = 9.12 feet

Hence the Ball's height is 9.12feet when it crosses the net at x = 30.

9514 1404 393

Answer:

Step-by-step explanation:

The function has a positive leading coefficient (1/3) and is of odd degree (3). These conditions mean the sign of the end behavior of the function will match the sign of x.

  x → ∞, m(x) → ∞

  x → -∞, m(x) → -∞

Answer: y = -2x + 7

Step-by-step explanation:

Answer:

y= -2x+7

Step-by-step explanation:

We need to keep y on one side of the equation.

2x+y= 7

=2x     -2x

y= -2x+7

Hope this helps!

Answer:

D and E

Step-by-step explanation:

It is acute because all angles are under 90 degrees. This means that it cannot be F, obtuse. It cannot be A because A scalene triangle is a triangle in which all three sides have different lengths. It cannot be B either because it has 3 sides of equal angles. It cannot be right because non of the angles are 90 degrees. It is equilateral.

Hope this helps.

Answer:

The primes up to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47. The sequence of gaps—the differences between each prime and the next—is 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2 and 4. The number 1 appears only once because all primes except for 2 are odd. The rest of the gaps are even numbers.

The conjecture which could be inferred from the sequence is that it is a list of prime numbers.

From the sequence given : 2, 3, 5, 7, 11, 13

All values in the sequence are prime numbers.

Prime numbers are numbers which have only two divisors which are 1 and the number itself.

Divisors of :

2 = 1 and 2

3 = 1 and 3

5 = 1 and 5

7 = 1 and 7

11 = 1 and 11

13 = 1 and 13

Hence, the conjecture which could be inferred from the sequence is that, the numbers are prime numbers.

Learn more : https://brainly.com/question/9315685

The two angles are vertical angles, which mean they are the same.

6s-2 = 94

Add 2 to both sides:

6s = 96

Divide both sides by 6:

S = 96/6

S = 16

Answer:

500 ML

Step-by-step explanation:

for every 1 liter, it is 1,000ML

so 1 L / 2 is 500ML

and 500 on your beaker is located in between 600 and 400

Hope this helps :)

Answer:

x>−2

Step-by-step explanation:

1 Subtract 1010 from both sides.

3x>4-103x>4−10

2 Simplify  4-104−10  to  -6−6.

3x>-63x>−6

3 Divide both sides by 33.

x>-\frac{6}{3}x>−

​3

​

​6

​​

4 Simplify  \frac{6}{3}

​3

​

​6

​​   to  22.

x>-2x>−2

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x = 2.4545... → (1)

100x = 245.4545... → (2)

Subtract (1) from (2) eliminating the repeating decimal

99x = 243 ( divide both sides by 99 )

x = [tex]\frac{243}{99}[/tex]

Answer:

Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Answer:

B) x=4

Step-by-step explanation:

Answer:

I'm going for A

Step-by-step explanation:

Answer:

Answer is gonna be c

Step-by-step explanation:

Answer:

B.the conductor

Step-by-step explanation:

Answer:

0.22h

Step-by-step explanation:

9.8 km/h is your speed, and you need to travel 2.2 km.

Time = distance / speed

(2.2km) / (9.8km/h)

0.22h

Answer:

is this 9th grade math????

Step-by-step explanation:

1

Answer:

5

Step-by-step explanation:

9×5/9=45/9

=5

just multiply the stuff in parantheses and then add and then divide.

Answer:

5

Step-by-step explanation:

3^2*(2+3); 9*5=45

(2+1)*3; (3)*3=9

So 45/9 =5

Answer:

328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049

Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.

Hi! here your answer

Answer:

If D≥0, then the roots are real and distinct.

If D=0, then the roots are real and equal.

If D≤0, then no real roots exist

Hope you understood!

Answer:

$7.5 = 3 pounds

Step-by-step explanation:

1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.

2. That means that 1 pound of cherries cost $2.5.

3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.

4. Now that gets you to $7.5 for 3 pounds of cherries.s

Answer:

z = 40° (V. O. A)

Now find x

40 + 25 + x = 180(A. S. P)

65 + x = 180

x = 180 - 65

x = 115°

Now find y

x = y (V. O. A)

Y = 115°

So angles are

X = 115°

Y = 115°

Z = 40°

Hope this helps, have a great day, have a wonderful weekend and stay safe!

Also Happy Halloween! :) :D :3

Answer:

C

Step-by-step explanation:

Perpendicular lines have the exact opposite slope of the other equation.

So the slope will be x or 1x. Plug in

-8 = 1(4) + b (b represents y-intercept) like y=mx+b

-8 = 4 + b (subtract 4 on both sides)

-12 = b

The equation is y = x - 12

C

solve

y + 8 = x - 4 (subtract 8 on both sides)

y = x - 12

Answer:

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x

=

−

b

±

b

2

−

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

−

6

=

0

2

x

2

+

x

−

6

=

0

2x2+x−6=0

=

2

a

=

2

a=2

=

1

b

=

1

b=1

=

−

6

c

=

−

6

c=−6

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

√

2

⋅

2

x

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

2

⋅

2

x=2⋅2−1±12−4⋅2(−6)​​

Answer:

x = - 2, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

try 5 or 3, half of 6 is 3 may be the same angle

Answer:

y = 5/2x + 1

Step-by-step explanation:

you are given (0,1) which means that the y intercept is 1.

Subsitute values in a linear equation:

y = mx + b

y = 5/2x + 1