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2 years ago

What is the domain of y=x^2-17

Mathematics

1 answer:

alexandr1967 [171]2 years ago

3 0

Answer:

The Vertex Form of a Parabola is:

g(x) = a(x - h)2 + k

vertex = (h, k)

rate = a (positive is up; negative is down)

a = -1/4 (downward parabola)

vertex = (17, 61)

There is no domain restriction.

Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.

Step-by-step explanation: hope this helped:/

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A cyclist rides down a long straight road at a velocity (in m/min) given by v(t)=400-20t, for 0≤t≤10, where t is measured in min

Naya [18.7K]

Answer:

A. 1,500m

B. 2000m

C. 1875m

Step-by-step explanation:

A. Here, we simply substitute the value of t in the equation.

t = 5min

V(t) = 400 - 20t

= 400 - 20(5)

= 400 - 100 = 300m/min

Now we know that distance = speed * time = 300 * 5 = 1,500m

2. Substitute t = 10

V = 400 - 20(10) = 400 - 200 = 200m/min

Distance = speed * time = 200 * 10 = 2000m

3. Here we need to calculate time

Rearranging the equation:

20t = 400 - V(t)

20t = 400 - 250

20t = 150

t = 150/20 = 7.5min

Distance traveled = 250 * 7.5 =1875m

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3 years ago

Gina works at a diner. She earns $6 each hour plus tips.In one week,she worked 37 hours a week and earned $43 in tips.How much d

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The answer is $265 (how much did she make altogether)

The equation is x=6h+6

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4 years ago

Is (- 5, 0) on the circle with the equation (x - 3) ^ 2 + (y + 4) ^ 2 = 74

Kryger [21]

(-5,0) is inside the circle

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3 years ago

How to do expressions

mrs_skeptik [129]

What type of expression?

8 0

3 years ago

Sin97°cos43°+cos97°sin43°

kirza4 [7]

I added a screenshot with the head of the question

Answer:
sin (140°)

Explanation:
Angle addition formulas are used to express the trigonometric function in terms of the sum/difference between two angles α and β
These rules are shown in the attached image.

Now, the given expression is::
sin97°cos43°+cos97°sin43°We have:
α = 97°
β = 43°

Comparing the given formula with the general formulas in the image, we would find that the given formula represents the sum of the sin of two angles.

Therefore:
sin97°cos43°+cos97°sin43°
= sin (97°+43°)
= sin (140°)

Hope this helps :)

7 0

3 years ago