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2 years ago

Solving a word problem involving rates and time conversion

1 answer:

6 0

Distance = rate x time
Distance = 221 miles
Rate = 68 mph
221 miles = 68 mph x time
221 miles/68 mph = time
3.25 hours = time

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What is the end behavior of the function f(x)=−1/4x^2?

ki77a [65]

Answer:

As x approaches infinity, f(x) approaches negative infinity

As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation:

Because the function goes in the downward direction on both sides, it would be negative infinity for both.

It's basically saying, as the x values go towards the positives, the y values go towards the negatives

and as the x values go towards the negatives, the y values go towards the negatives.

3 0

1 year ago

The equation of the line WX is 2X plus Y equals -5 what is the equation of a line perpendicular to line WX in slope intercept fo

tensa zangetsu [6.8K]

Answer:

$y = \frac{1}{2}x - \frac{3}{2}$

Step-by-step explanation:

The equation of the line WX is, 2x + y = - 5

⇒ y = - 2x - 5 .......... (1)

This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.

Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1

⇒ $m = \frac{1}{2}$

{Since the product of slopes of two mutually perpendicular straight line is - 1}

Therefore, the equation of the perpendicular line is

$y = \frac{1}{2}x + c$ , where c is a constant and we have to find it.

This above line passes through the point (-1,-2) and hence

$- 2 = \frac{1}{2}(- 1) + c$

⇒ $c = - \frac{3}{2}$

Therefore, the equation of the line will be $y = \frac{1}{2}x - \frac{3}{2}$ (Answer)

4 0

3 years ago

HELPPPPPP this is due tonight!!!!

laiz [17]

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) $4\cdot x +1 +x + 3 = -11$ GIven

2) $4\cdot x +x +1 + 3 = -11$ Commutative property

3) $(4+1)\cdot x +4 = -11$ Distributive property/Definition of addition

4) $5\cdot x +4 = -11$ Definition of addition

5) $5\cdot x +4 -4 = -11-4$ Compatibility with addition

6) $5\cdot x = -15$ Existence of additive inverse/Modulative property

7) $\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)$ Compatibility with multiplication

8) $x = - 3$ Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

6 0

2 years ago

Please helpppp !!!!!

MrRissso [65]

The answer is
2(pi)/3
Because 4(pi)-/5 minus 2(pi)-/5 is 2(pi)-/5
After that you cancel -/5 from the numerator and denominator to get 2(pi)/3

8 0

1 year ago

Read 2 more answers

To be considered similar, two polygons must have corresponding sides that are ______.

Bond [772]

Corresponding sides must be proportional and corresponding angles are congruent.
LetterA

7 0

2 years ago

Read 2 more answers