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4 years ago

For the graph below, what should the domain be so that the function is at least 200?

Mathematics

2 answers:

adoni [48]4 years ago

8 0

Answer: −5 ≤ x ≤ 20

Step-by-step explanation:

sveta [45]4 years ago

7 0

Y = 2x² + 30x + 200
y = 2(x² + 15x + 100)

x² = x*x
100 ⇒ 1 x 100 ; 2 x 50 ; 4 x 25 ; 5 x 20 ; 10 x 10

200 = 2x² + 30x + 200
0 = 2x² + 30x + 200 - 200
0 = 2x² + 30x + 0
0 = 2(x² + 15x + ?)

<span>−5 ≤ x ≤ 20</span>

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What is the measure of each interior angle of a regular 14-gon

Triss [41]

<h2>Hello!</h2>

The answers are:

Question 7:

154.29°

Question 8:

Yes, because the opposite sides are congruent.

For question 7:

We know that the sum of all interior angles of any polygon is determined by the following formula:

$Angles=180*(sides-2)$

Therefore the sum of all interior angles of a 14-gon is equal to 2160°, so, the measure of each interior angle is given by the following calculation:

$14-gon=(14-2)*180\°=2160\°$

Each interior angle is equal to:

$\frac{2160\°}{12}=154.29\°$

For question 8:

We know that a quadrilateral is a parallelogram when the opposite sides are parallel or congruent.

From the statement we know that:

BE≅ED

and

AE≅EC

So, we can assume that the triangles formed by the sides BE and AE, and the sides EC and ED, are also congruent, meaning that the opposite sides BA and CD are congruent, so, the quadrilateral is a parallelogram.

Have a nice day!

4 0

3 years ago

Can someone help me out with these? Thanks

Anvisha [2.4K]

Answer:

I believe 2 is b or C. 3.c

Step-by-step explanation:

Since there is more heads than tails, we know it's going to be bigger. Since there is not an exact half, and heads is 8, it is going to be one of the 0.533.

Since there are 52 cards in a real deck, there's only 4 cards of each. Since you almost double the amount of cards, it's going to be more than 4, but less than at least 15.

4 0

3 years ago

What is two fifths of £26.40

notsponge [240]

2/5 of 26.40 is 10.56 :)

7 0

3 years ago

A) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n

kramer

Answer:

a) The value of A = 2

b) The value of $B = \dfrac{1}{12}$

Step-by-step explanation:

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; $P[X = n] = \dfrac{A}{3^n}$ for some constant A and n ≥ 1.

Then, let $\sum \limits ^{\infty}_{n =1} P[X =n] = 1$

This implies that:

$A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1$

$A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1$

$A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1$

$A \times \dfrac{1}{2}=1$

A = 2

Thus, the value of A = 2

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

$f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.$

where; B is constant.

Then, using the property of the probability density function:

$\int ^3_0 \ B (x^2+1 ) \ dx = 1\\$

Taking the integral, we have:

$B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1$

$B \Big [\dfrac{3^3}{3} +3 \Big ]= 1$

$B \Big [\dfrac{27}{3} +3 \Big ] = 1$

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

$B = \dfrac{1}{12}$

5 0

3 years ago

Whats is the sum of 4x10^-5 and 3x10^-5 written in standard form?

Dimas [21]

(4x10^-5) + (3x10^-5) would equal .00004 + .00003 = .00007

The way to convert scientific notation to standard notation is simple:

with negative powers, simply treat it as a whole number, subtract 1 from it and add that many zeros before the number you are multiplying by 10

with positive powers, simply subtract 1 from it and add that many zeros after the number you are multiplying by 10

4 0

4 years ago