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3 years ago

Consider the equation: x + 3y = 4x + y If x is 6, what is y?

Mathematics

2 answers:

Gnoma [55]3 years ago

8 0

Answer:

The answer is y = 9

Step-by-step explanation:

x + 3y = 4x + y

6 + 3y = 4(6) + y

2y = 18

y = 9

wlad13 [49]3 years ago

7 0

Answer:

The simplified system is the arbitrary solution of the original system of equations.

Y=9

X=6

Step-by-step explanation:

I have used an online Math Algebra problem solver to guide me to my answer and this is 100% sure the correct answer.

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

2 years ago

Help me will give brain

Marat540 [252]

Answer:

Umm sure what you want..

3 0

2 years ago

The ravens scored 13 more than three times number points that the bengals scored in their last game. If the ravens scored 40 poi

katrin2010 [14]

The score of Raven is 9 points

Solution:

Let the point scored by bangal be"x"

Score of Raven = 40 points

Given that,

The ravens scored 13 more than three times number points that the bangals scored in their last game

Score of raven = 13 + 3(score of bangal)

40 = 13 + 3x

Solve the above equation for x

3x = 40 - 13

3x = 27

x = 9

Thus the score of Raven is 9 points

5 0

3 years ago

Help me please..........

natka813 [3]

Answer:

12 ( B )

Step-by-step explanation:

mode means the number that appears the most often

in that case the mode is 12 ( B )

6 0

3 years ago

Read 2 more answers

Select the correct answer

bulgar [2K]

The answer is b bc it’s all real numbers since it won’t stop

3 0

3 years ago