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Answer:

The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.

Determine the zeros of the relation.

-3x^2 + 11x + 4 = 0

---

3x^2 - 11x -4 = 0

Factor:

3x^2 - 12x + x - 4 = 0

---

3x(x-4) + x-4 = 0

---

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

---

x = 4 or x = -1/3

============================

f(x) = -3x^2+11x+4

How far has the rocket traveled horizontally when it lands on the ground?

4 ft.

==================

What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?

---

max occurs when x = -b/2a = -11/(2*-3) = 11/6

height = f(11/6) = 14.083 ft

Answer:C

Step-by-step explanation:

Answer:

C. 3, 2, 0, -1, -3

Step-by-step explanation:

The more negative a number is, the lesser it is.

Count backwards: 4, 3, 2, 1, 0, -1, -2, -3, -4, ...

I hope this helped!

Answer:

if i am correct the answer is A

Step-by-step explanation:

The quotient of 3 and -30 is a rational number. The correct answer would be an option (B).

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

The quotient of 3 and -30 is:

3 ÷ (-30) = -0.1

Therefore, the quotient is a rational number. Option B is correct.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In this case, -0.1 can be expressed as the ratio of the integer -1 and the integer 10, where the denominator 10 is not zero.

Note that the quotient is negative because we are dividing a positive number (3) by a negative number (-30).

Learn more about the quotient here:

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Answer:

Step-by-step explanation:

Alright all we need to know is to understand our brackets

So 3+{2×(8-4+6)}-5-{9+4-[3×(1-5)]}​

3+20-5-9+4-3(1-5)

Step 2

3+20-5-9+4-3(1-5)  Simplify

18-9+4-3(1-5)

Step 3

18-9+4-3(1-5)

13-3(1-5)

13-(-12) Here is the tricky part (We aren't going to subtract because the brackets multiply the equations

So,

13+12=25

Your answer is 25

Answer:

area : 63.9

b : 14.2

write equation of area of a triangle

Step-by-step explanation:

area:. 1/2 × B x H

solve for H : H= _2x_area_

B

Substitude values : _H = _2×63.9___

14.2.

Evaluate : H = 9

Hi! So what you will need to know is pythagorean theorm.

What the theorm basically says is a^2 + b^2 = c^2.

-- The (a,b,c) are referring to the sides of the triangles (3 letters for 3 sides).

Take note that "c" is always the side opposite of the right angle.

The other known side could be "a" or "b"

Taking a look at problem 9, identify the "c" value. The "c" value would be 35.

Then indentify the value of "b" or "a". "a" would = 20.

Plug it into the equation:

20^2 + b^2 = 35^2

400 + b^2 = 1225

solve for b.

1. subtract 400 from both sides.

b^2 = 825

b = [tex]\sqrt{825}[/tex]

you could solve for the square root but it would give a decimal numbers but I'm not sure what the teacher is looking for.

Answer:

Step-by-step explanation:

(4+8)/(2x(6-3)) = 12/(2x(6-3))  = 12/6x = 2/x

Answer:

2x

Step-by-step explanation:

Answer:

Jersey cost (without discount)= $65

Step-by-step explanation:

First, we need to determine how much he spent on the jersey:

Jersey cost (with discount)= 83.39 - 37.89

Jersey cost (with discount)= $45.5

Now, the original cost of the jersey:

Jersey cost (without discount)= discount cost / (1 - discount)

Jersey cost (without discount)= 45.5 / 0.7

Jersey cost (without discount)= $65

Answer:

x=3

Step-by-step explanation:

it would go over the point 3,7 on the graph with a positive slope

The given inequality is solved to obtain as x ≥ 3.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality can be solved as follows,

4x - 5 ≥ 7

Subtract 7 from both sides to obtain,

4x - 5 - 7 ≥ 0

=> 4x - 12 ≥ 0

=> 4x ≥ 12

=> x ≥ 3

The graph for the given inequality is shown as below,    

Hence, the solution for the given inequality is x ≥ 3.

To know more about linear inequality click on,

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Answer:

2460

Step-by-step explanation:

Hope this helps :)

Answer:

the awnser is 2460 have a nice day

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Pair of pants = 4

Number of shirts = 5

Pair of shoes = 2

Number of different outfits possible :

Pair of pants * number of shirts * pair of shoes

4 * 5 * 2

20 * 2

= 40

Answer:

(-1,2)

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Answer:

the answer should be x>-2

Answer:

download photo math

Step-by-step explanation:

+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

72.18

Step-by-step explanation:

The hundreth place is the second to the right of the decimal. So the number in the hundreths place is 72.178. When rounding, you look at the number behind the number you are rounding to. In this case, you want to look at the 8. If the number is 5 or above, you round up. 8 is above 5 so you round the 7 to an 8.

Answer: 72.18

Step-by-step explanation:

hope this helps

Answer:

option (3)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 12x + 7

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 12x

f(x) = x² + 2(- 6)x + 36 - 36 + 7

      = (x - 6)² - 29

with vertex (h, k ) = (6, - 29 )

Answer:

Mrs.Santos is 29.5 and Morgan is 14.5

Step-by-step explanation:

x - 15 + x = 44 where x is Mrs.Santos age

2x - 15 = 44

2x = 59

x = 59/2 = 29.5

Answer:

x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]

Step-by-step explanation:

7 = [tex]x\sqrt{3}[/tex]

x = [tex]\frac{7}{\sqrt{3}}[/tex]

multiply numerator and denominator by [tex]\sqrt{3}[/tex]

x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]

Answer:

what is you belling? yesterday y monday

Answer:

CD = 4

Step-by-step explanation:

I believe you know the geometric mean for altitudes?

CD = √AD * DB = √8 * 2 = √16 = 4

If you are not aware of this theorem, then use the similarity of triangles.

ADC ~ CDB

AD/DC = CD/DB (cross-multiply)

CD^2 = AD*DB,

CD = √AD * DB = √8 * 2 = √16 = 4

Answer:

46.66

Step-by-step explanation:

Answer:

-12x + -4y = 8 would be the full equation so -12x goes in the box

Step-by-step explanation:

I think

(-4)(3x) = -12x

..........

Answer:

24 ft

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

because 14 can be reduced to 7and 4 can be reduced to 2

Answer: (C) 2/7

Step-by-step explanation: 2/7 is the same as 4/14

Answer:

I think it is 3????

Step-by-step explanation:

I'm not sure but 36 / 12 = 3 so yea.

Hopefully this is right!

9514 1404 393

Answer:

Step-by-step explanation:

For this to have infinitely many solutions, the left side and right side must simplify to the same expression. The left side is already simplified, so we need to find the right numbers for the right side.

Coefficient of x:

  7x = __x + 3x

  4x = __x . . . . . . subtract 3x; next divide by x

  4 = __ . . . . . the required x-coefficient is 4

Constant term:

  -8 = 8 -__

  -16 = -__ . . . . . subtract 8

  16 = __ . . . . . . multiply by -1

__

The numbers that go in the boxes are 4 and 16.

Answer:

(-4, -8)

Step-by-step explanation:

x - 5y = 36; 2x + y = -16

first, rearrange the first equation by adding 5y to both sides to isolate x

x = 5y + 36

then plug that in for x in the second equation and solve for y:

2(5y +36) + y = -16               distribute 2 to (5y + 36)

10y + 72 + y = -16                 combine like terms by adding 10y and y

11y + 72 = -16                        subtract 72 from both sides

11y = -88                                divide both sides by 11

y = -8

next, plug y in and solve for x

x - 5(-8) = 36

x + 40 = 36                          subtract 40 from both sides

x = -4

finally, check the solution by plugging x and y into both equations to see if they equal the expected value

(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓

2(-4) + (-8) = -8 -8 = -16 = -16 ✓