Please help me on this question too! =)

Answer:

c

Step-by-step explanation:

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

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

Answer:

Step-by-step explanation:

Given principal p =$3500

Time t =1 year

Rate of interest r =2.3%

So annual interest=p×r×t/100

=3500×2×2.3/100

=7000×2.3/100

=16100/100

=161.

So annual interest is $161

The standard form for expressing the equation of a straight line is

y = mx + b

Given the functions from the question f(x)  = 3x + 4

If h(x) = f(x+3)

Replace x with x+3 in the function f(x) to have;

h(x) = 3(x+3) + 4

h(x) = 3x + 9 + 4

h(x) = 3x + 13

Hence the required graph for both functions are attached below;

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Answer: 1223 and the remainder is 9

Step-by-step explanation:

Answer:

A fair six-sized die is rolled. Find the probability of getting at least a 4.

There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.

Given the value of the original quantity and the value of the new quantity, the percent​age increase is 50%.

Percent​ increase is aimply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.

It is expressed as;

C = ((x₂ - x₁) / x₁)100%

Where x₁ is initial value and x₂ is new value

Given the data in the question;

We substitute the given values into the expression above.

C = ((x₂ - x₁) / x₁)100%

C = ((15 - 10) / 10)100%

C = (5/10)100%

C = 0.5 × 100%

C = 50%

Therefore, given the value of the original quantity and the value of the new quantity, the percent​age increase is 50%.

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Answer:

(3,-6)

Step-by-step explanation:

  [1]    x - 2y = 15

  [2]    2x + 4y = -18

Graphic Representation of the Equations :

   -2y + x = 15        4y + 2x = -18  

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 2y + 15

// Plug this in for variable  x  in equation [2]

  [2]    2•(2y+15) + 4y = -18

  [2]    8y = -48

// Solve equation [2] for the variable  y

  [2]    8y = - 48

  [2]    y = - 6

// By now we know this much :

   x = 2y+15

   y = -6

// Use the  y  value to solve for  x

   x = 2(-6)+15 = 3

Solution :

{x,y} = {3,-6}

Answer:

Least Common Multiple (LCM) of 14 and 22 is 154.

Answer:

Least Common Multiple (LCM) of 14 and 22 is 154.

Answer:

b

Step-by-step explanation:

Answer:

b.

1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;

Step-by-step explanation:

IT'S B

Answer:

Option c is the answer

Step-by-step explanation:

3/5 = 0.6

2 divided by 0.6 = 3.3333333

3.33333 = 10/3

10/3 = 3 1/3

Hope this helps :)

Answer:

3 1/3 or 3, depending on if he can play a fraction of a match

Step-by-step explanation:

The question is asking us how many times 3/5 can go into the whole number 2. to find this we can multiply the denominator of the fraction (5) by the whole number we are trying to get with the fraction (2), and this results in 10. if we put this over the denominator, we get 10/5, which results in 2. to find how many times 3/5 can go into 10/5, we will divide 10/5 by 3/5. this results in 3 and 1/3. so he can play 3 1/3 matches.

Answer:

no they're not equal

Step-by-step explanation:

you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.

Answer:

Division

Step-by-step explanation:

3x = 3 times x so, you must do the opposite of multiplication to get rid of the 3, which is division.

The solution of the equation with a single variable  3x = 15 will be 5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3x = 15

Divide the equation by 3 into both sides, then we have

3x / 3 = 15 / 3

x = 5

The solution of the equation with a single variable  3x = 15 will be 5.

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Answer:

(1.5,-1.5)

Step-by-step explanation:

Hope this helps you

Answer:

I think it is 4 but, im not sure

Answer:

Area of a triangle is 1/2B x H

In this case, BH = 0.5(3x-5)·4x

A = 4/2 · (3x²-5x)

Answer:

The value of x is 37.36

Step-by-step explanation:

The given triangle is a right-angled triangle where

Base = 25

Angle = 48°

Hypotenuse = x

As the triangle is a right angled triangle, trigonometric ratios can be used to find the missing value. We can use a ratio which uses base and hypotenuse.

[tex]cos\ 48 = \frac{base}{hypotenuse}\\cos\ 48 = \frac{25}{x}\\0.6691 = \frac{25}{x}\\x = \frac{25}{0.6691}\\x = 37.36[/tex]

Hence ,

The value of x is 37.36

Answer: y = 3x

Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Answer: 61.6

Step-by-step explanation:

17.6 X 3.5 = 61.6

Answer:

Kyle threw the baseball 61.6 meters

Step-by-step explanation:

You multiply 17.6 by 3.5 which results in 61.6

Answer:

y=3/2x-16

Step-by-step explanation:

The equation of the line passing from points (10, -1) is y = 3x/2 - 16.

A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It conveys the slope, x-intercept, and y-intercept of the line and can be expressed in a variety of ways. Y = mx + c and axe + by = c are the two versions of the equation of a straight line that are most frequently employed.

Given slope = 3/2 and points (10, -1)

equation of line is given by y = mx + c

m = 3/2

y = 3/2x + c

substitute points,

-1 = 10*3/2 + c

c = -16

equation of line is y = 3x/2 - 16

Hence the equation is y = 3x/2 - 16.

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Answer: 20 :)

Step-by-step explanation:

Answer: 18 miles

explanation: set up a proportion. (2 over 1/9 = x over 1). cross multiply, 2x1=2, then divide 2/(1/9)=18.

Answer:53

Step-by-step explanation:

Answer:

There are 2 given situations:

Plant A and Plant B growing in 3 weeks. Find which plant grows proportional

Plant A

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week = 56 inches

=> 18 + 18 = 36 + 20 = 56

Thus, this is not proportional

Plant B

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week  = 54 inches

=> 18 + 18 = 36 + 18 = 54 inches

thus, the growth of this plant is proportional

Answer:

a equal to c 25 b greater than

Step-by-step explanation:

Answer:

As per graph the rate of Printer A is 15 pages per minute.

Missing words are:

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

Answer:

They make 4 approximately tons of oxygen each year.

Step-by-step explanation:

( 250lbs × 32 ) ÷ 2000 = 4t

250 pounds because each tree makes about 250 pounds of oxygen a year.

× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.

÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.

Answer:

4

Step-by-step explanation:

because 2+2+2+2=8 pretty self explanatory

Answer:

13

Step-by-step explanation:

Answer:

X= -1/2   X= 7

Answer:

lesser x= -5   Greater X= 5

Step-by-step explanation:

−x  

2

−8

−x  

2

x  

2

​  

=−33

=−25

=25

​  

Hint #22 / 3

Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:

\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}  

x  

2

​  

x

​  

=  

25

​  

=±5

​  

Hint #33 / 3

In conclusion,

\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}  

lesser x

greater x

​  

=−5

=5

​