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irga5000 [103]
3 years ago
5

Use the function f(x) = 2x2 − 3x − 5 to answer the questions.

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

A:  2x² - 3x - 5

    (2x - 5)(x + 1)

B:  Set the factored equation equal to zero and solve for x.

(2x - 5)(x + 1) = 0

2x - 5 = 0

2x = 5

x = 5/2

x + 1 = 0

x = -1

The x-intercepts are 5/2 and -1

C)  To find the end behavior, you need to look at the term in the unfactored equation with the highest exponential number.  For this equation, that is 2x².  Since the exponent is positive,  both ends of the graph will point in the same direction.  Because the leading coefficent is positive, the graph will point upwards.  The end behavior of the graph is that as the x-values approach both ∞ and -∞, the function approaches ∞.

D)  Since we know that the x-intercepts are 5/2 and -1, you can plot these points.  You also know that the graph will be in an upward U shape.  Plug in  a couple x-values and plot them to make the graphing of the equation more accurate.

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A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?
Mnenie [13.5K]

Answer:

14.5 ft

Step-by-step explanation:

We are told that the model car is built to a scale of 1 in. : 2.5 ft.

That means 1 inches represents 2.5 ft in actual measurement.

Thus, for a 5.8 inch long model, the real life measurement is;

(5.8 inch × 2.5 ft)/1 inch = 14.5 ft

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3 years ago
Find x. Round your answer to the nearest tenth of a degree.<br> x
NeTakaya

Answer:

x ≈ 48.2°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = \frac{adjacent}{hypotenuse} = \frac{6}{9} , then

x = cos^{-1} ( \frac{6}{9} ) ≈ 48.2° ( to the nearest tenth )

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2 years ago
How to solve 488x6 ?
Tema [17]

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Step-by-step explanation:488* 6

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8 0
3 years ago
Graph the solution if the this inequality 4/9x-10&gt;x/3-12
cupoosta [38]

You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you

... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10

... 1/9x > -2 . . . . . . collect terms

Now, you can multiply by 9 to see the condition on x.

... 9(1/9x) > -2(9)

... x > -18


On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.


On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).

4 0
2 years ago
Approximate <img src="https://tex.z-dn.net/?f=-8%20%2B%5Csqrt%7B20%7D" id="TexFormula1" title="-8 +\sqrt{20}" alt="-8 +\sqrt{20}
alisha [4.7K]

The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters

<h3>What are equivalent expressions?</h3>

Equivalent expressions are different expressions that have equal values when evaluated and compared

<h3>How to approximate the radical expression?</h3>

The expression is given as:

-8 + √20

The above expression is a radical expression

So, we start by doing the following

Express 20 as 5 * 4

-8 + √20 = -8 + √(5 * 4)

Split the radical expression √(5 * 4)

-8 + √20 = -8 + √5 * √4

Evaluate the square root of 4 i.e. √4 = 2

-8 + √20 = -8 + √5 * 2

This gives

-8 + √20 = -8 + 2√5

Evaluate the square root of 5

-8 + √20 = -8 + 2 * 2.2

Evaluate the product of 2 and 2.2

-8 + √20 = -8 + 4.4

Evaluate the difference

-8 + √20 = -3.6

Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6

So, the complete equation is:

-8 + √20 = -3.6

Read more about equations at:

brainly.com/question/2972832

#SPJ1

5 0
1 year ago
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