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3 years ago

Hudson is driving on a long road trip. He currently has 13 gallons of gas in his car.

Mathematics

2 answers:

dybincka [34]3 years ago

3 0

Answer:

There would be 11 gallons of gas left!

Step-by-step explanation:

Svet_ta [14]3 years ago

3 0

Answer:

after 2 hours = 11

Step-by-step explanation

what do you mean by t?

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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

What is the slope of the line that goes through the points (1,-5) and (4,1)?

Anna007 [38]

Answer:

D. 2

Step-by-step explanation:

(1 - -5)/(4 - 1) = 6/3 = 2

3 0

4 years ago

Read 2 more answers

I will mark BRAINLIEST!! Please answer ASAP!

Delicious77 [7]

Answer:

1.7 laps per minute

Step-by-step explanation:

8 0

3 years ago

a rain gutter is 24 feet long, 4 inches in height, 3 inches at base and 6 inches at top. how many gallons of water will it hold?

Lubov Fominskaja [6]

Answer:1.8701

Step-by-step explanation:

Area (A) of trapezium as marked is = $\frac{1}{2}$ $\left ( sum\ of\ parallel\ sides\right )\times height$

A= $\frac{1}{2}$ $\left ( 3+6\right )\times 4$

A=18 $in^2$

Now for Volume we have to multiply by length because area is same across the length.

volume(v)= $A\times length$

Volume(v)= $18\times 24$

Volume(v)=432 $in^3$

Volume(v)=1.8701 gallon

3 0

3 years ago

Can anyone help me?

bija089 [108]

Answer:

Step-by-step explanation:

y= -833.3+42,000

29,500

6 0

3 years ago