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madreJ [45]
3 years ago
15

Evaluate f(x)= -x^2-4 for x = 3

Mathematics
2 answers:
Anna11 [10]3 years ago
7 0

Answer:

f(3) = -13

Step-by-step explanation:

f(x)= - x²-4     (not (-x)²)

f(3) = - 3² - 4 = - 9 - 4 = -13

-BARSIC- [3]3 years ago
6 0

Answer:

f(3) = -13

Step-by-step explanation:

f(x)= -x^2-4

Let x = 3

f(3) = - (3)^2 -4

      = -9 -4

      = -13

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Kronos Industries bought a desktop for $3,000. It is expected to depreciate at a rate of 10% per year. What will the value of th
kolbaska11 [484]

Answer:

$1968

Step-by-step explanation:

It will depreciate by 10% 4 times, which means that the result in the end will be <em>$3000 * (100% - 10%) * (100% - 10%) * (100% - 10%) * (100% - 10%)</em>, or, put simply, <em>x = $3000 * (0.9)⁴</em>.

Power: x = $3000 * 0.6561

Multiply: x = 1968.3 ≈ $1968

4 0
3 years ago
Pablo rented a truck for one day. there was a base fee of $14.95 and there was an additional charge of 94 cents for each mile dr
Bad White [126]

Answer:

Pablo drove 268 miles.

Step-by-step explanation:

266.87-14.95=251.92

251 .92÷0.94=268

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4 0
3 years ago
Question included in the image - geometry problem.
iren [92.7K]

Answer:

y = 116°

Step-by-step explanation:

Given that <em>L₁ </em>|| <em>L</em>₂:

The <u>exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the two opposite and non-adjacent remote interior angles.  

Also, ∠y° and ∠2x° are <u>same-side interior angles</u> formed by the intersection of the <em>hypotenuse</em> of the triangle that acts as a transversal to the parallel lines, <em>L₁ </em>and <em>L</em>₂.  Given that ∠y° and ∠2x° are <u>same-side interior angles</u>, then it means that they are the supplements of each other, such that the sum of their measures is 180°.  

Now that we have established these definitions, we can proceed with the solution.

<u>Equation 1</u>:  ∠y° + ∠2x° = 180° ⇒ Same-side interior angles

<u>Equation 2</u>:  ∠y° =  ∠x° + ∠84°  ⇒ exterior angle theorem

Substitute the value of m∠y° from Equation 2 into Equation 1 to solve for the value of x:

∠y° + ∠2x° = 180°

∠x° +  ∠84° + 2x° = 180°

Combine like terms:

∠3x° + ∠84° = 180°

Subtract ∠84° from both sides:

∠3x° + ∠84° - ∠84° = 180° -∠84°

∠3x° = 180° - ∠84°

∠3x° = 96°

Divide both sides by 3 to solve for x:

\frac{3x}{3} = \frac{96}{3}

∠x° = 32°

Substitute the value of x into Equation 2 to solve for y:

∠y° =  ∠x° + ∠84°

∠y° =  ∠32° + ∠84°

∠y° =  116°

Verify whether the values for x and y are correct by substituting their values into Equation 1 and 2:

<h3>Equation 1:</h3>

∠y° + ∠2x° = 180°

116° + 2(32)° = 180°

116° + 64° = 180°

180° = 180° (True statement).

<h3>Equation 2:</h3>

∠y° =  ∠x° + ∠84°

116° = 32° + 84°

116°  = 116°  (True statement)

Therefore, the correct answer is: y = 116°.

5 0
3 years ago
Help pls shejsbsjsjshsjsvshzhabjs
alex41 [277]
I think it’s 1. If wrong sorry
8 0
2 years ago
Read 2 more answers
What's the perpindicular line of y+5=4(x+12)
snow_tiger [21]
The slope of this line is
−
12
5
.
Perpendicular lines have opposite reciprocal slopes. To find an opposite reciprocal, multiply by
−
1
and flip the numerator and denominator.
Hence the opposite reciprocal of
−
12
5
and the slope of a line perpendicular to a line with a slope of
−
12
5
is
5
12
.
6 0
3 years ago
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