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VLD [36.1K]
3 years ago
10

Let y = 2t + 5 be a linear function representing the distance from home for an ant t minutes after starting out from a location

near its home. What does the number 5 represent in this function? A. The ant is moving at 5 feet per minute. B. The ant started out 5 feet from its home. C. The ant is 5 feet from its home after t minutes. D. The ant is moving 5 feet every two minutes.
Mathematics
2 answers:
scoray [572]3 years ago
7 0

Answer:

The correct option is B.

Step-by-step explanation:

The given equation is

y=2t+5              ..... (1)

Where, y is distance from home for an ant t minutes after starting out from a location near its home.

The slope intercept form of a line is

y=mx+b               .... (2)

Where, m is slope and b is y-intercept or initial value.

On comparing (1) and (2), we get

m=2, b=5

Here, 5 represent the initial distance of ant from its home.

It means the ant is moving at 2 feet per minute and the ant started out 5 feet from its home.

Therefore option B is correct.

Paladinen [302]3 years ago
4 0

Answer:

Yep its B

Step-by-step explanation:

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Composition of the functions is <br> ____ commutative.
Aleksandr [31]

Answer:

See below.

Step-by-step explanation:

Composition of the functions is sometimes commutative.

Under certain circumstances, they can be the same. However, most of the time, they are not commutative.

For instance, if we have f(x)=x^2 and g(x)=x^3, then:

f(g(x))=(x^3)^2=x^6\text{ and}\\g(f(x))=(x^2)^3=x^6

Most of the time, however, this won't work.

Edit: Added an example.

8 0
3 years ago
Read 2 more answers
What is the midpoint of a line with endpoints (6,5) and (14,7), (Your answer
lawyer [7]

Answer:

Midpoint = (10,6)

Step-by-step explanation:

Using Coordinates: X(6,5) and Y(14,7)

Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2

Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2

Midpoint of XY = (20) / 2, (12) / 2

Therefore the midpoint of XY is (10,6)

4 0
3 years ago
Can someone please walk me through this? I’m confused xD
mixas84 [53]
The length is two inches less than five times the width. This means

Length (L) = 5w - 2. (Does this make sense? You calculate 5 times the width and then minus 2)

Then we know the perimeter of a rectangle is 2(L+w) so
Perimeter = 2(5w-2 + w) = 2(6w-2) = 12w - 4 (so C and D are both correct because they are equal)

We check the other two options manually,
A: 2(5w-2)+2w = 10w-4+2w = 12w - 4 (so A is correct because it equals D which also equals C)
B: w+w+5w+5w-2 = 12w - 2 (which does not equal any of the other options)

So correct answers are A, C and D because they are all equal.
3 0
3 years ago
An arc on a circle measures 295°. The measure of the central angle
marishachu [46]

Answer:

59/36π

Step-by-step explanation:

We know that an angle is measured in either degrees or radians and The arc's angle measurement, taken at the center of the circle the arc is part of, is measured in degrees (or radians)

Let's convert 90 degrees into radians

295° = 295 * π/180 = 59/36π

4 0
3 years ago
Cameron earn's $7 per hour at her after school job. The total amount of her paycheck varies directly with the amount of time she
polet [3.4K]

Answer:

Proportionality equation: y=7kx

Linear equation: y=7x

Step-by-step explanation:

So the amount that Cameron earns = 7/hr

Hours = x

And total earned amount = y

So we can form an equation from this for the total amount:

y=7x

But the question asks us for a proportionality equation so:

Proportionality constant = k

So we get the equation:

y=7*k*x

5 0
3 years ago
Read 2 more answers
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