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7nadin3 [17]
3 years ago
13

NEED HELP ASAP! 40 POINTS!

Mathematics
2 answers:
lubasha [3.4K]3 years ago
6 0

Since the functions represent the heights of the rockets, and we are trying to find when the heights are the same, we essentially just want to know where the functions equal each other.


To find this, let's set both functions equal to each other and solve:

-16x^2 + 74x + 9 = -16x^2 + 82x

  • Set up equation

74x + 9 = 82x

  • Add 16x^2 to both sides of the equation

9 = 8x

  • Subtract 74x from both sides of the equation

\boxed{x = \dfrac{9}{8}}

  • Divide both sides of the equation by 8

Our answer is 9/8 seconds, or approximately 1.13 seconds.

vladimir1956 [14]3 years ago
3 0

Same height when both equations are equal

-16x^2 +  74x + 9 = -16x^2 + 82x

82x - 74x = 9

8x = 9

x = 9/8

x = 1.125

x = 1.13 ---->rounded to nearest hundredths of seconds

answer

1.13 seconds


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A.CED.A Garnetta owned 2400 shares of Metropolitan Corporation at a price of $45.50. The stock split 4-for-3. How was Garnetta f
shtirl [24]

Garnetta will have 3,200 shares worth $ 34,125 each.

Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:

  • 3 = 2400
  • 4 = X
  • 4 x 2400/3 = X
  • 9600/3 = X
  • 3200 = X  
  • (2400 x 45.50) / 3200 = X
  • 109200/3200 = X
  • 34.125 = X

Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.

Learn more in brainly.com/question/13981349

4 0
3 years ago
I make $348 a week at my new job. what is my yearly salary?
rosijanka [135]

Answer:

$18,096 a year

Step-by-step explanation:

There are around 52 weeks in a year. You make $348 a week.

52 x 348 = $18,096

3 0
2 years ago
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Last Question 10 minutes left Middle School Math
kicyunya [14]

Answer:2,2

Step-by-step explanation:

I remember doing this last year

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3 years ago
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What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S
Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is y=\frac{1}{3} x+2

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3  

And as the line passing through (-3,1) and is  perpendicular to 3x + y = -8, product of slopes of two line will be -1  as lies are perpendicular.

Let required slope = x  

\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}

So we need to find the equation of a line whose slope is \frac{1}{3} and passing through (-3,1)

Equation of line passing through (x_1 , y_1) and having lope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}

Substituting the values we get,

\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}

Hence the required equation of line is found using slope intercept form

4 0
3 years ago
Geometry questionnn! Please help :)
Marizza181 [45]

Answer:

8 and 1 third.

Step-by-step explanation:

4 0
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