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Tanya [424]
3 years ago
7

If x = 3 and y = -2, what is the value of the expression x^3-2xy^2?

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer:

3

Step-by-step explanation:

The expression is x^3-2xy^2. To find the value, substitute the values x = 3 and y =-2 then follow order of operations.

x^3-2xy^2\\3^3 -2(3)(-2)^2\\27 -2(3)(4)\\27 - 24\\3

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Use a trigonometric ratio to find the distance EF.
leonid [27]

Answer:

The height of the building is approximately <u>73 m</u>.

Step-by-step explanation:

The triangle EFG is shown below.

Given:

Length of shadow of building is, FG=34\ m

Angle of inclination of Sun with the vertical is 25°.

Therefore, the angle of inclination of Sun with the horizontal is given as:

\angle G=90-25=65\°

Now, in triangle EFG as shown below, we use the tangent ratio to determine the height of building EF. Therefore,

\tan (\angle G)=\frac{EF}{FG}\\\tan 65\°=\frac{EF}{34}\\EF=34\times \tan 65\°=72.9\ m\approx 73\ m

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4 0
3 years ago
Add.<br><br> Express your answer in simplest terms.<br><br> 1/5+2/3
DedPeter [7]
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4 0
3 years ago
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Which graph shows y &lt; x² +1?<br> O<br> 4) Intro<br> •
Ket [755]

The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.

<h3>How to graph an inequality?</h3>

The steps to graph an inequality equation are:

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  • Shade the region that satisfies the inequality.

<h3>Calculation:</h3>

The given inequality is y < x² + 1

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When x = -2,

y = (-2)² + 1 = 4 + 1 = 5

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When x = -1,

y = (-1)² + 1 = 2

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When x = 0,

y = (0)² + 1 = 1

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y = (1)² + 1 = 2

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y = (2)² + 1 = 5

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Plotting these points in the graph forms an upward-facing parabola.

So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.

From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".

Learn more about graphing inequalities here:

brainly.com/question/371134

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5 0
2 years ago
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How do I solve this?
KengaRu [80]

Answer with Step-by-step explanation:

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where

'k' is constant of integration whose value is obtained by the given condition that y(2)=0\\

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5 0
3 years ago
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Katyanochek1 [597]
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7 0
3 years ago
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