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Doss [256]
3 years ago
11

I looked at a video about dividing by zero, but I dont understand this question. Couldnt x=-4 also be undefined?

Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

x = -4 is not undefined because f(x) = x+4 is in the top part, the numerator, not the denominator. So the value that makes f(x) = x + 4 zero does not result in a division by zero.

Indeed, if we try to evaluate (f/g)(-4), then we get

  \displaystyle\left( \frac{f}{g}\right)(-4) = \frac{f(-4)}{g(-4)} = \frac{-4+4}{-4-3} = \frac{0}{-7} = 0,

which does not involve a division by zero.

However, attempting to evaluate (f/g)(3) leads us to

  \displaystyle\left( \frac{f}{g}\right)(3) =\frac{3+4}{3-3} = \frac{7}{0},

which involves a division by zero, and divisions by zero are undefined


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In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.
SVEN [57.7K]

The length of PN is 2.63 feet

<u>Explanation:</u>

<u />

Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

tan \alpha = \frac{perpendicular}{base}

tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet

Therefore, the length of PN is 2.63 feet

7 0
3 years ago
Students were surveyed about their wither break plans.Of the people that stated they were going skiing, 25% did not actually go.
Romashka [77]

Answer:

The number of students who actually went for the skiing is 0.75 times the total number of students .

Step-by-step explanation:

Given as :

Students were surveyed about their wither break plans

The percentage of students who did not go for skiing = 25 %

So, The percentage of students who did not go for skiing =100 % - 25 % = 75%

Let The total number of students = x

So, The number of students actually went for the skiing = 75% of the total number of students

I.e The number of students actually went for the skiing = \frac{75}{100}× x

Or, The number of students actually went for the skiing = 0.75× x

∴ The number of students actually went for the skiing = 0.75 x

Hence The number of students who actually went for the skiing is 0.75 times the total number of students . Answer

7 0
4 years ago
Math question. please help<br>3+2x+4x=15
Rzqust [24]

2x+4x=6x

6x+3=15

6 multiplied by 2 = 12

12 +3=15

so x =2


6 0
3 years ago
Match the following items by evaluating the expression for x = -6.
Kryger [21]

Step-by-step explanation:

Put the value of x = -6 to all expressions:

x^{-2}=(-6)^{-2}=\dfrac{1}{(-6)^2}=\dfrac{1}{6}\qquad\text{used}\ a^{-n}=\dfrac{1}{a^n}\\=====================\\x^{-1}=(-6)^{-1}=\dfrac{1}{(-6)^1}=-\dfrac{1}{6}\\=====================\\x^0=(-6)^0=1\qquad a^0=1\ \text{for all real numbers except 0}\\=====================\\x^1=(-6)^1=-6\qquad a^1=a\ \text{for all real numbers}\\=====================\\x^2=(-6)^2=36

5 0
3 years ago
A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. E
Step2247 [10]

Answer:

Amount of money paid by each student is equal to \$3W+\$200

Step-by-step explanation:

Given: A group of children bought 3 presents that cost \$W each and a card that cost \$200.

To find: amount of money each student paid in terms of W

Solution:

Cost of each present =\$W

Cost of 3 presents =\$3W

Cost of a card =\$200

Therefore,

Amount of money paid by each student in terms of W = Cost of 3 presents + Cost of a card

=\$3W+\$200

4 0
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