What is the volume of this right come? 27pi cm^3 200pi cm^3 213pi cm^3 300pi cm^3

Mathieu is finding the x-intercepts of the function f(x)=x^2+4x+3. His world is shown below. (In the photo) The Answer is: (He s

navik [9.2K]

Answer:

X intercepts are points where a function intersects or cuts through the x axis where y=0.

Step-by-step explanation:

In the function given which is f(x) =x^2 +4x + 3 we see that this is a parabola of which when the graph is drawn it has a U shape so when finding x intercepts of this function it is those points on the function where the graph cuts the x axis and at those two points f(x)= 0, so here Mathieu had made a mistake of factorizing and equating the x intercepts for this function.

For finding the X intercepts let f(x) = 0

therefore 0= x^2 + 4x + 3 now we solve for x

0= (x+1)(x+3)

(x+1)= 0 or (x+3)=0

therefore x=-1 or x=-3

now if you substitute these values onto the function they give f(x)= 0,

f(-1) = (-1)^2 + 4(-1) + 3 = 0

f(-3) = (-3)^2 + $(-3) + 3 =0

now let us look at Mathieus answer which is x+1 = x+3 yes these x values do give the same y value but they are not equal because if you can actually solve this further you would not get a defined answer. Both these are factors of the function but are not actually equal as the function would not be able to be drawn if this was the case.

3 0

2 years ago

Read 2 more answers

a classroom is arranged with eight seats in the front row 10 seats in the middle row 12 seats in the back room the teacher rando

Gre4nikov [31]

Answer: $\frac{4}{15}$

Step-by-step explanation:

The number of seats in the first row= 8

Total number of seats in the classroom= $8+10+12=30$

The probability of the first student who enters the classroom will be assigned a seat in front row is given by:-

$P=\frac{\text{Number of seats in first row}}{\text{Total seats}}\\\Rightarrow\ P=\frac{8}{30}=\frac{4}{15}$

Therefore, the probability of the first student who enters the classroom will be assigned a seat in front row is $\frac{4}{15}$ .

6 0

2 years ago

Given: mAngleTRV = 60° mAngleTRS = (4x)° Prove: x = 30 3 lines are shown. A line with points T, R, W intersects with a line with

zmey [24]

The reason behind the statement m∠TRS + m∠TRV = 180° is; Angle Addition Postulate

<h3>How to use angle addition postulate?</h3>

Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which from the attached image is;

m∠ABD + m∠DBC = m∠ABC.

From the attached image, we want to prove that x = 30°.

Now, T is the interior of straight angle ∠VRS.

m∠VRS = 180° (straight line angle)

Thus, from angle addition postulate, we can say that;

m∠TRS + m∠TRV = 180°.

Read more about two column proofs at;brainly.com/question/1788884

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7 0

1 year ago

Which side lengths will NOT form a triangle? *

lisabon 2012 [21]

Answer:

The 6in, 8in, 8in one.

Step-by-step explanation:

5 0

1 year ago

Which of the expressions can you use to find the number of 3-digit passwords you can make using the digits 5, 6, and 7, if you d

Lelechka [254]

C.

Do you need reasoning?

7 0

2 years ago