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3 years ago

A line passing through the point (12, -5) has a slope of 1/3

Mathematics

1 answer:

Serggg [28]3 years ago

6 0

Y=(1)/(3)x-9 that’s the answer

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-/2 points

Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval (-∞,∞)

Part 2) The range is the interval (-∞,1]

Step-by-step explanation:

we have

$f(x)=-x^2+14x-48$

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

The range is the interval

(-∞,k]

Find the vertex

$f(x)=-x^2+14x-48$

Factor -1 the leading coefficient

$f(x)=-(x^2-14x)-48$

Complete the square

$f(x)=-(x^2-14x+49)-48+49$

$f(x)=-(x^2-14x+49)+1$

Rewrite as perfect squares

$f(x)=-(x-7)^2+1$

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

6 0

3 years ago

A box contains 2 plain pencil and 2 pens A box contains 3 color pencils and crayons . One item from each box is chosen random Wh

Alex17521 [72]

make a probability tree it will really help so much

4 0

3 years ago

You used a 35% off coupon and purchased a skateboard for 55.25. What was the original price of the skateboard?

Firlakuza [10]

Answer: It should be 74.5875

Step-by-step explanation: If you did 0.35*55.25= you should get a number then if you add that with the discounted price, $55.25, you should get 74.5875

7 0

3 years ago

Almost done please someone!!!!!!!!!!!!!!!!!!!!!!!

Levart [38]

Answer:

yea sooo sorry

Step-by-step explanation:

So sorry i cant see the pic sorry

3 0

3 years ago

A person is standing 200ft from a tower. She can see the top of the tower at a 42 degree angle of elevation. Her eyes are 5ft ab

Oxana [17]

Answer:

C. 185 ft

Step-by-step explanation:

The work is in the attached picture file, if you need it. Basically the question sets up a right triangle, for which the base is 200 and the height is the goal that you are solving for. It is given that the angle between hypotenuse and base is 42 degrees. For this you use tangent to say that

tan(42) = h / 200

200 tan (42) = h

h = 180 feet.

But then you must remember that this triangle starts 5 feet off of the ground. So you add the 5 feet and get 185 feet as the height of the tower.

6 0

3 years ago