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3 years ago

3 classmates share 2 granola bars equally, how much will each classmate gets?

1 answer:

4 0

<span>3 classmates shares 2 granola bars.
IF they shared it equally, how much will each of them get?
=> 3 classmate = 2 available granola
Let’s divide the 2 granola in each of them
=> 2 /3
=> 0.67
Thus, each of them is expected to receive approximately 0.67 granola each
=> Unit rate = 0.67 granola / person. </span>

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A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.

riadik2000 [5.3K]

Answer: 4 units

Step-by-step explanation:

The given position function: $x(t)=-t^3+6t^2-9t+42.$ , where t≥0.

To determine: Total distance traveled by the particle from 0≤ t ≤ 4.0.

At t=0,

$x(0)=-(0)^3+6(0)^2-9(0)+42=42\\$

At, t=4,

$x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38$

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units

= 4 units

Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.

4 0

2 years ago

How many roots does the graphed polynomial function have?

TiliK225 [7]

To start, note that the roots of a function have to do with how many times the function passes through the x-axis.

When you look at the graph above, notice that it passes through the x-axis 3 times, at the points (-6,0), (-4,0), and (3,0).

Knowing this, you can conclude that your answer would be choice B.)3

5 0

2 years ago

Read 2 more answers

Drag a reason to each box to complete this proof.

Bond [772]

Given: 5x – 4 + 13x = 5

Combine like terms in the given expression.

⇒ (5x + 13x) – 4 = 5

⇒ 18x – 4 = 5

By addition property of equality, add 4 on both sides to equal to the expression.

⇒ 18x – 4 + 4 = 5 + 4

⇒ 18x = 9

By division property of equality, divide 18 on both sides to equal the expression.

⇒ $\frac{18x}{18}=\frac{9}{18}$

By symmetric property of equality, both sides are equal

⇒ $x=\frac{1}{2}$

Hence, $x=\frac{1}{2}$ .

4 0

3 years ago

What key features do the functions f(x) = 12x and g of x equals the square root of x minus 12 end root have in common?

zvonat [6]

Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞). Then the correct option is D.

<h3>What are domain and range?</h3>

The domain means all the possible values of the x and the range means all the possible values of the y.

The functions are given below.

$\rm f(x) = 12x \\\\g(x) = \sqrt{x - 12}$

Then the domain of f(x) is (-∞, ∞) and the domain of g(x) is (12, ∞). And both the functions increases in the interval of (12, ∞).

More about the domain and range link is given below.

brainly.com/question/12208715

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6 0

1 year ago

What is the measure of ∠ A C D ? Upper A is labeled as 33 degree and the angle formed at the vertex Upper B is labeled as 117. T

alisha [4.7K]

D. 150° should be the answer because if the upper angle of A is 33 and B is 117 they should be added to have the answer to the angle

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2 years ago