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3 years ago

What’s the answer? Please help

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

Since you are trying to find out half the number of students in a PE class, dividing would be most appropriate since you would be trying to find half.

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

3 0

3 years ago

Can anyone help me? is it a b c or d

Nataly_w [17]

Answer: choice a

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

so it has to be in between 9 and 5

7+2=9

2+x>7

--> x>5

however, it can't be 5 or 9

Hope this helps! <3

5 0

3 years ago

UVOISINOULLIV HU

Gala2k [10]

<h3>Total snow fall for three days is 8.75 inches</h3>

<em><u>Solution:</u></em>

Given that,

Snow fell over the past three days

$First\ day = 3\frac{2}{4}\ inches = \frac{14}{4}\ inches\\\\Second\ day = 3\frac{2}{4}\ inches = \frac{14}{4}\ inches\\\\Third\ day = 1\frac{3}{4}\ inches = \frac{7}{4}\ inches$

<em><u>What was the total snowfall for the three days?</u></em>

Total snowfall = first day + second day + third day

$Total\ snowfall = \frac{14}{4} + \frac{14}{4} + \frac{7}{4}\\\\Total\ snowfall = \frac{14 + 14 + 7}{4}\\\\Total\ snowfall = \frac{35}{4} \text{ or } 8.75\ inches$

Thus total snow fall for three days is 8.75 inches

5 0

3 years ago

Which of the following is two-dimensional and infinitely large

denis-greek [22]

A plane has two dimensions and extends infinitely in both dimensions.

8 0

3 years ago

Write the quadratic equation given the following points.<br> (1,-2) (2,-4) (3,-4)

pshichka [43]

Graph it and then tell it will come out

4 0

3 years ago