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WITCHER [35]
3 years ago
14

The equation d=rt is used to calculate distance, rate, or time, where dd is the distance (in meters), r is the rate (in meters p

er minute), and tt is the time (in minutes). Consider the statements below that describe the walking rates for three people. Graph the equation that represents the rate of the fastest person. Tomas walks 1200 meters in 8 minutes. Becky walks for 10 minutes and goes 1400 meters. Derrick walks at a rate of 145 meters per minute.
Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0
We know derrick walks 145 m/min to get the other we simply divide how far they went in how much time
Tomas: 1200/8= 150 m/min
Becky: 1400/10= 140m/min
therefore Tomas is the fastest walker so we will write the equation based on his speed
y = 150x
you should start at the origin (0,0) and got up 150 meters for and over 1 for every minute they run!
notsponge [240]3 years ago
7 0

Answer:

Step-by-step explanation:

Thomas is the fastest walker at 150 minutes so he walks 150 meters for every minute

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The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this t
Anna007 [38]
The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
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Some define the triangle inequality using < rather than ≤. Be careful here.
5 0
3 years ago
The function f is continuous on the closed interval [1,15] and has the values shown on the table above. Let g(x) = ∫f(t) dt [1,x
Anna11 [10]
We're looking for the two values being subtracted here. One of these values is easy to find:

<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
 
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:

</span><span>Each integral breaks down like so:

(3-1)*f(1)=4

(6-3)*f(3)=9

(10-6)*f(6)=16

(15-10)*f(10)=10.

So, the sum of all these integrals is 39, which means g(15)=39.
 
Then, g(15)-g(1)=39-0=39.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
3 0
3 years ago
Read 2 more answers
!!!!!!!!!!!!Please help!!!!!!!!!!!!!!
aksik [14]

Answer:

The answer to your question is a) (f°g)(x) = 4x² + 2

                                                    b) (f + g)(x) = 4x² + x + 2

                                                    c) (f - g)(-3) = -37

Step-by-step explanation:

Data

f(x) = x + 2

g(x) = 4x²

a) Calculate (f°g)(x)

Just sum the function

(f°g)(x) = (4x²) + 2

-Simplification

(f°g)(x) = 4x² + 2

b) (f + g)(x)

(f + g)(x) = x + 2 + 4x²

-Simplification

(f + g)(x) = 4x² + x + 2

c) (f - g)(-3)

-Calculate (f - g)(x)

(f - g)(x) = x + 2 - 4x²

-Simplify

(f - g)(x) = -4x² + x + 2

-Evaluate in (-3)

(f - g)(-3) = -(4)(-3)² + (-3) + 2

-Simplification

(f - g)(-3) = -4(9) - 3 + 2

-Result

(f - g)(-3) = -36 - 3 + 2

(f - g)(-3) = -37

5 0
3 years ago
Can anyone please help me<br> with this
Veseljchak [2.6K]

Answer

The answer is B

Step-by-step explanation:

6 0
2 years ago
A polynomial function has a root of –4 with multiplicity 4, a root of –1 with multiplicity 3, and a root of 5 with multiplicity
lorasvet [3.4K]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

Step-by-step explanation:

A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -4 has even multiplicity of 4 so it only touches and does not cross through.

Root -1 has odd multiplicity of 3 so crosses through.

Root 5 has even multiplicity of 6 so it only touches and does not cross through.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

8 0
3 years ago
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