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2 years ago

Pre Calc Question Help,

Mathematics

2 answers:

Veseljchak [2.6K]2 years ago

6 0

All real numbers except 13

julsineya [31]2 years ago

5 0

Answer:

Step-by-step explanation:

Domain is the set of all values of x where the function is defined. For this function the only limitation upon x exists when the denominator would equal zero, because division by zero is undefined. So the denominator 13-x cannot equal zero thus x cannot equal 13. Thus the domain is all real numbers except 13.

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What is the interval notation for the compound inequality? x is less than or equal to -4 or x is greater than or equal to 5?

Tems11 [23]

x is less than or equal to -4 or x is greater than or equal to 5

x <= -4 or x>= 5

There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality

for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets

Interval notation is (-∞ , -4]

for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5

Interval notation is [5 , ∞)

Now combine both notation by a 'U' symbol Union

(-∞ , -4] U [5 , ∞)

5 0

2 years ago

Plss help I’ll mark brainliest

melamori03 [73]

Answer:

D 6

Step-by-step explanation:

Normally when I multiply mixed numbers, I change them to improper fractions first so that it is easier.

1 $\frac{2}{10}$ × 5 = $\frac{12}{10}$ × 5

Multiply 5 by the numerator of the fraction and leave the denominator alone.

$\frac{12}{10}$ × 5 = $\frac{60}{10}$

Change back to simplest form.

$\frac{60}{10}$ = 6

4 0

2 years ago

Read 2 more answers

Evan’s family drove to a theme park for vacation.

zhuklara [117]

Answer:

They drove 150 miles on the third day

They drove 50 miles per hour so if you multiply that by 3 (since they drove 3 hours on the third day) you would get 150 miles.

5 0

2 years ago

A simple impact crater on the moon has a diameter of 15 kilometers. a complex impact crater has a radius of 30 kilometers. how m

timurjin [86]

The general equation for computing the circumference of a circle is $C=\pi d$ , where C is the circumference, and d is the diameter. (You might also see the equation as $C=2 \pi r$ where r is the radius, because $d=2r$ )

Computing the circumferences of the two circles, we get:
$C_{d=15}=\pi (15)=15\pi$
$C_{d=30}=\pi (30)=30\pi$ .

To calculate the ratio of two numbers, we can divide one by the other. You can look at this as "How many times does the denominator fit in the numerator?"
$\frac{C_{d=30}}{C_{d=15}}=\frac{30\pi}{15\pi}=2$
So the circumference of the complex impact crater is 2 times greater than the circumference of the simple impact crater.

7 0

2 years ago

Coefficient of x^2 in expansion of (x+2)^5

iVinArrow [24]

The x² term will be C(5,2)x²·2³ = 80x².

The coefficient is 80.

_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5·4/(2·1) = 10

8 0

2 years ago