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3 years ago

HELP NEEDED solve 54/ 2x + 1

1 answer:

8 0

<u><em>It cannot be simplified. </em></u>The 54 and the 2 cannot be reduced because the 2 is attached to the +1 and it is against the laws of mathematics to do that.

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The quadratic function h(t) = -16.1? + 150 models a ball's height, in feet, over time, in seconds,

Sliva [168]

<h2>Hello!</h2>

The answer is: The first graphic representation.

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

$h(t) = -16.1t^2 + 150$

$0=-16.1t^2+150$

$16.1t^2=150$

$t^2=\frac{150}{16.1} =9.32$

$t=+-\sqrt{9.32} =+-3.05$

$t1=3.05$

$t2=-305$

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

$a=-1$

$b=0$

$c=150$

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

5 0

2 years ago

One fourth of the 120 students took wood shop. How many students did not take wood shop?

yawa3891 [41]

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

$\frac{3}{4}(120)$

Find common factors between 4 and 120 to simplify, so 4.

$\frac{3}{1} (30)$

Now multiple across to get 90.

5 0

3 years ago

One kilogram is 2.2 pounds. Complete the tables. What is the interpretation

valentinak56 [21]

You would multiply each kilogram amount by 2.2 to get the point equivalent.

3 0

3 years ago

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4),

hammer [34]

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

7 0

2 years ago

Read 2 more answers

Plz help me plz help me

Nutka1998 [239]

Answer:

A. W

Step-by-step explanation:

Because this is a rigid transformation, quadrilaterals WXYZ and ABCD are congruent. Corresponding parts of corresponding figures are congruent, so W is congruent to A and because we know the measure of angle A, you also know the angle measure of W.

8 0

3 years ago