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jenyasd209 [6]
3 years ago
8

A student is attempting to factor a polynomial. Sample mathematical work is shown below. Which statement best applies to the sam

ple mathematical work?
Given 3x + 6, the factors of the first term are 3 and x, and the factors of the second term are 1, 2, 3, and 6. Thus, the greatest common factor is 3. Dividing through by the greatest common factor, I get x + 3. Thus, the factored polynomial is 3(x + 3).
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0
The choices are:

<span>A. The student identified the greatest common factor incorrectly.
B. The student incorrectly divided each term by the greatest common factor.
C. The student failed to simplify the expression.
D. The mathematical work shown is correct.</span>

I think the correct answer from the choices is option D. The mathematical work shown is correct. Hope this answers the question. Have a nice day.
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Alan is on the swim team. Each week he swims a total of 6000 meters. How many kilometers does he swim each week
NARA [144]

Answer:

6 km

Step-by-step explanation:

1000 meters equals 1 kilometer

3 0
2 years ago
dale is driving to Miami. suppose that the distance (in miles) is a linear function of his total driving time (in minutes). dale
nexus9112 [7]
Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:

Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t

Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0

Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles

So after 70 min's of driving, Dale will be 36.5 miles from his destination.
3 0
3 years ago
What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2
Sergeeva-Olga [200]
The maximum number of turning points in a cubic function is 2.

In this case,

f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4

The discriminant is (-2)^2-4(9)(4)=-140, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
5 0
3 years ago
Read 2 more answers
I have 8 questions witch means 80 points answer correctly!
kolezko [41]
<h3>Answer : </h3>

\Large \pink{\tt \dfrac{35}{36}}

<h3>Solution :</h3>

\tt \dfrac{3}{4} + \dfrac{2}{9}

By taking LCM = 4 × 9 = 36

\tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}

\tt = \dfrac{27}{36} + \dfrac{8}{36}

\tt = \dfrac{27 + 8}{36}

\tt = \dfrac{35}{36}

\pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}

7 0
3 years ago
Have students write an explanation of how to find the slope of a line given the points A(1, 5) and B(−7, 8), also give me the an
Grace [21]

Answer:

3/-8

Step-by-step explanation:

Slope= y2-y2/x2-x1

substitute in: 8-5/-7-1= 3/-8

4 0
3 years ago
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