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Answer:

The maximum height of the rocket is 256 feet

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

Let us use these rules to solve the question

∵ h(t) = -16t² + 128t

→ Compare it by the form of the quadratic function above

∴ a = -16 and b = 128

∵ a < 0

∴ The vertex (h, k) is a maximum point

∴ The maximum height of the rocket is the value of k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]

∴ h = 4

→ Substitute x in the equation by the value of h to find k

∵ k = h(h)

∴ k = -16(4)² + 128(4)

∴ k = -256 + 512

∴ K = 256

∴ The maximum height of the rocket is 256 feet

Answer:

450 Km

Step-by-step explanation:

90 Km/hr x 5 hr = 450 Km

I hope this helped and good luck!

Answer: Distance= 450km

Step-by-step explanation:

90 times 5= 450

Answer:

6560lbs

Step-by-step explanation:

Answer:

x= 24

Step-by-step explanation:

Quotient means divide, increased means add

x/3 + 12 =20

Subtract 12 from each side

x/3 +12-12 = 20-12

x/3=8

Multiply each side by 3

x/3 * 3 =8*3

x= 24

Answer:700 / n, the quotient of 700 and a number. 2w, two times a ... h - 3, three less than a number ... 20 + m, 20 more than a number. x - 12, a number decreased by 12.

Step-by-step explanation:

Step-by-step explanation:

8/40 x 100% = 20%

Topic: percentage

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

Answer:

YES you are right

Step-by-step explanation:11 squared equals 121

Answer: [tex]y=3-2a[/tex], Option 4

Step-by-step explanation:

[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]

multiply 2 at [tex]ax+by=ab[/tex]

[tex]2ax+2by=2ab[/tex]

subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]

[tex]by=3b-2ab[/tex]

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

Answer:

8.938

Step-by-step explanation:

Answer:

dont at me if its wrong but i think its the second one

Step-by-step explanation:

Answer:

C x 20 + R x 20

Step-by-step explanation:

C x 20 + R x 20 or

20c + 20r

Answer:

The formula you'll need is:

Years = ln (total / principal) / rate

ln means natural log

Years = ln (2,000 / 1,000) / .045

Years = ln (2) / .045

Years = 0.69314718056 / .045

Years = 15.4033

Step-by-step explanation:

Answer:

f(x) = x + 2

Step-by-step explanation:

(0, 2)

(2, 4)

Slope m = (4 - 2) / (2 - 0) = 1

y - 2 = 1(x - 0) ⇔ y = f(x) = x + 2

Answer:

1/2, 1/4

Step-by-step explanation:

Let the numbers be x and y.

Given, x=2y

1/x + 1/y = 6

plug in x=2y ,

1/2y+1/y = 6

Taking common denominator ,

(1+2)/2y = 6

2y = 3/6 = 1/2 => y=1/4

x = 2y = 2* 1/4 = 1/2

So, the numbers are 1/2 and 1/4

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

Answer:

[tex]f(x)=2x+1[/tex]

Step-by-step explanation:

At x=0, the y is at 1  

at x=1, y went up to 3

the change between 3 and 1 is 2 therefore the equation is

[tex]f(x)=2x+1[/tex]

I hope this helps you and good luck!

Answer:

It's simple. All you need to do is subtract 2 from 40.

Length: 40 ft

Width: 38 ft

Hopefully that helped! :)

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

A:3(x+2)=18

Divide each side by 3

3/3(x+2)=18/3

x+2 = 6

This is the same equation as equation B

They will have the same solution since they are the same equation

x+2-2 = 6-2

x = 4

(not my answer)

Answer:

it is infinite solutions

Step-by-step explanation:

because 20+5t=20+5t even if you put any number as the variable

The main fuction is mulitiply by 2 each 1 point

Step-by-step explanation:

Answer:

17×15=255

Step-by-step explanation:

you do base times height

Answer:

The third choice

Step-by-step explanation:

We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be [tex]\frac{3}{-1}[/tex] , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.

Answer:

hello

Step-by-step explanation:

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

Answer:

(-3,1)

Step-by-step explanation:

(x,y)---->(x,-y)

(-3,-1)--->(-3,1)

Answer:

62

Step-by-step explanation:

Answer:

The amount of money Jake had left after his purchase is $10.85

Step-by-step explanation:

The amount of Fruit Chews Jake selected = 1.6 pounds

The amount of Jelly Beans Jake selected = 2.6 pounds

The sales tax = $0.52

The amount of money Jake had to spend = $25

The table of values are;

Price Per Pound     [tex]{}[/tex]                  

Fruit Chews = $4.70

Jelly Beans = $2.35

Chocolate = $3.50

The amount of money Jake had to spend $25

The total amount of the candies Jake bought = 1.6 × $4.70 + 2.6 × $2.35 = $13.63

The total amount Jake spent = The total amount of the candies Jake bought + The sales tax

The total amount Jake spent = $13.63 + $0.52 = $14.15

The amount of money Jake had left after his purchase = The amount of money Jake had to spend - The total amount Jake spent

The amount of money Jake had left after his purchase =  $25 - $14.15 = $10.85

The amount of money Jake had left after his purchase = $10.85.