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3 years ago

What is 2x-6 = 3x+1-X-7 and you have to regroup/ divide by number next to x?

Mathematics

1 answer:

Elena L [17]3 years ago

5 0

Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

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What is the surface area?<br>square Varas

UNO [17]

Answer:

1083 square feet

Explanation:

6 0

3 years ago

17.

Marta_Voda [28]

Answer:

a) 50 meters

b) 2354 meters

c) 12 seconds

d) 24.13 seconds

Step-by-step explanation:

Hello!

<h3>a) How far is Lincoln above the ground when he shoots the gun?</h3>

We need to really understand what the variables represent in this question. Given that t is time, and h is height, the time at which he shoots the bullet will be 0, as the bullet hasn't started traveling yet. This means that we can solve for the original height of the bullet by plugging in 0 for time in the equation.

Equation: $h = -16t^2 + 384t + 50$

Plug in 0 for t:

$h = -16t^2 + 384t + 50$
$h = -16(0)^2 + 384(0) + 50$
$h = 50$

The height at which Lincoln shot the bullet is 50 meters.

We can also look at this graphically. The height of origin will simply be when the x-value (in this case t-value) is 0. That means it is the point at which the graph intersects the y-axis, known as the y-intercept.

Standard form of a Parabola: $y = ax^2 + bx + c$

The y-intercept is the "c" value.

Given our equation: $h = -16t^2 + 384t + 50$

The c-value is 50. This proves that the y-intercept is 50.

<h3 /><h3>b)How high does the bullet travel vertically relative to the ground?</h3>

We want to find the highest point of the graph. To do that, we can find the vertex.

We can utilize the Axis of Symmetry (AOS) to find the Vertex.

First, find the AOS using the formula: $AOS = -\frac{b}{2a}$

a = -16
b = 384

Plug it into the formula:

$AOS = -\frac{b}{2a}$
$AOS = -\frac{384}{2(-16)}$
$AOS = \frac{384}{32}$
$AOS = 12$

Plug in 12 for t in the equation:

$h = -16t^2 + 384t + 50$
$h = -16(12)^2 + 384(12) + 50$
$h = -2304 + 4608 + 50$
$h = 2304+50$
$h = 2354$

Therefore, the highest point of the bullet is 2354 meters.

<h3>c)How long does it take the bullet to reach its greatest height?</h3>

We answered this in the last question. The t-value when h is at its highest is 12.

<h3>d)After how many seconds (round to nearest 100th) does the bullet hit the ground?</h3>

We have to solve for the values of t when h is 0 (when it touches the ground).

Set the equation to 0, and solve using the quadratic formula.

Quadratic formula: $x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}$
$x = \frac{-384\pm\sqrt{384^2 - 4(-16)(50)}}{2(-16)}$
$x = \frac{-384\pm\sqrt{147456 +3200}}{-32}$
$x = \frac{-384\pm\sqrt{150656}}{-32}$
$x = \frac{-384\pm388.14}{-32}$
$x = -\frac{4.14}{32}, x = \frac{772.14}{32}$

We are only going to take the positive solution, as we can't have a negative time. The solution that doesn't work is called an extraneous solution.

$x = \frac{772.14}{32}$
$x = 24.13$

It takes approximately 24.13 seconds for the bullet to hit the ground.

6 0

2 years ago

Teesha is in French club. There are 10 freshman, 12 sophomores, 15 juniors, and 30 seniors in the club. The advisor is going to

FrozenT [24]

We know that

In French club <span>there are
10 freshman
</span><span>12 sophomores
15 juniors
30 seniors

total of the members------> (10+12+15+30)=67
total </span> freshman-----> 10

so
<span>the probability that a freshman will be chosen=10/67
and
</span><span>the probability that a freshman will not be chosen=(67-10)/67
</span>the probability that a freshman will not be chosen=57/67---> 0.8507
0.8507= 85.07%

the answer is
the probability that a freshman will not be chosen is 85.07%

6 0

3 years ago

X^5=16<br> what does x equal?

Alex777 [14]

it could be 5 root 16? im not sure

7 0

3 years ago

Read 2 more answers

Help me pls.

salantis [7]

Answer:

1. 424

2.471

3.512

Step-by-step explanation:

1. 10×12+8×10+8×13+8×15

=120+80+104+120

=424

2. 5×24+9×24+9×15+9×15

=120+216+135

=471

3. 24×16+2×24+2×20+2×20

=384+48+40+40

=512

3 0

3 years ago