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3 years ago

What's the domain and range of y=-2x^2+5x-7

Mathematics

1 answer:

S_A_V [24]3 years ago

8 0

Answer:

Domain: All real numbers Range: (-∞, -31/8]

Step-by-step explanation:

Since the parent function for this equasion is y=x^2, you know that the graph wil be parabolic in shape. All parabolic functions have a domain of all real numbers. Now when you rewrite the graph in vertex form, you will see that the top vertex is at y=-31/8, this is going to restrict the range to be (-∞, -31/8]. I have provided a graph using the app PhotoMath.

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Find x. round to nearest hundredth. PLS HELP. will award brainliest

Paraphin [41]

Answer:

$x$ = 29.64 to the nearest hundredth

Step-by-step explanation:

The three sides of a right-angled triangle have specific names:

The hypotenuse (H) is the longest side. It is opposite the right angle.
The opposite side (O) is opposite the angle in question.
The adjacent side (A) is next to the angle in question.

The 3 trigonometric ratios are:

$sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}$

For the given triangle we are given the angle and the side that is OPPOSITE to the angle, and need to find the hypotenuse.

Therefore, we would use the trig ratio: $sin(\theta)=\frac{O}{H}$

Substituting the values from the triangle: $sin(35)=\frac{17}{x}$

Multiply both sides by $x$ : $xsin(35)=17$

Divide both sides by $sin(35)$ : $x=\frac{17}{sin(35)}$

Therefore, $x$ = 29.63859553...

So $x$ = 29.64 to the nearest hundredth

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Step-by-step explanation:

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