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Snowcat [4.5K]
3 years ago
11

2. 3h – 10 = 35 44 d

Mathematics
2 answers:
Doss [256]3 years ago
8 0

Step-by-step explanation:

3h - 10 = 35 ➡ 3h = 35 + 10 ➡ 3h = 45 ➡h = 15

alisha [4.7K]3 years ago
6 0

I trust that you meant to type

3h – 10 = 35.

If so, see work below.

1. Add 10 to both sides.

3h – 10 + 10 = 35 + 10

3h + 0 = 45

3h = 45

2. Divide both sides of the linear equation by 3 to find h.

3h/3 = 45/3

h = 15

Is h = 15 correct?

Prove:

Let h = 15 in the given equation.

If we get the same answer on both sides of the equation, then we will know that h = 15 is the right answer.

3(15) – 10 = 35

45 - 10 = 35

35 = 35

The fact that 35 = 35 means that our answer for h is 15.

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N=(3/4)*h*d

--------------------

n=Number of hours she reads

h=Hour(s)

d=Days

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You see, with this formula - when d=2,

n=(3/4)*h*2=(6/4)*h=(3/2)*h=1.5 hours

So, in the space of 2 days, she had spent 1.5 hours reading.
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What do you call a line segment which passes throughthe center of the circle from on side to the other?​
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Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its
finlep [7]

There is only one statement that is true: B. The graph of the function is a parabola.

<h3>How to study and interpret the characteristics of quadratic equations</h3>

In this question we have a <em>quadratic</em> equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The <em>quadratic</em> function opens up as its <em>leading</em> coefficient is greater that 0.

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Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

f(20) = 312

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Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

There is only one statement that is true: B. The graph of the function is a parabola.

To learn more on quadratic equations: brainly.com/question/1863222

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2 years ago
Determine the range of the function.
Naya [18.7K]

Answer:

Solution: f(x)\ge-5\\Interval:[-5,\infty)

Step-by-step explanation:

Equation: \frac{1}{4} x^2-5 = y

1). \frac{1}{4} x^2-5 = y →\frac{x^2}{4}-5=y

2). \frac{x^2}{4}-5=y ∴ a=\frac{1}{4}, b=0, c=-5

3). x_v=-\frac{b}{2a}

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         =0

4). now plug x_v into y_v

y_v=\frac{0^2}{4}-5

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5). Minimum (0,-5) ∴ f(x)\ge-5

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Answer:

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Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

7 0
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