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3 years ago

Solve the following:

Mathematics

1 answer:

Galina-37 [17]3 years ago

8 0

Answer:

300 girls, 200 boys

Step-by-step explanation:

To find boys: 500 x 0.4 = 200

To find girls: 500 x 0.6 = 300

60% girls

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The function f(x) = (x - 4)(x - 2) is shown.

agasfer [191]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

In order to solve this problem we need to know the vertex and the direction its pointing.

First we expand,

x^2-6x+8

To find the x value of the vertex we use this formula (-b/2a).

-(-6)/2(1) = 3

Now we plug 3 in the equation to get the y value,

(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1

The vertex is (3,-1)

We know the graph points up because x^2 is positive

The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.

This leads to our answer all real numbers greater than or equal to -1.

6 0

4 years ago

What is m=1/2, b=-8 as an equation

Fofino [41]

Answer:

y = 1/2x -8

Hope this helps!!

3 0

3 years ago

Read 2 more answers

Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

$|C| = \sqrt{a^2+b^2}$

Then, the work consists in finding pairs (a,b) for which:

$\sqrt{a^2+b^2}=3$

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

4 0

3 years ago

a person travels 8 miles due north, 3 miles due west, 7 miles due north and 11 miles due east. how far so the person from the st

PilotLPTM [1.2K]

Answer:

The correct answer would be 7. Explaination below

Step-by-step explanation:

8 + 7 = 15

15 + 3 = 18

18 - 11 = 7

7 0

3 years ago

What is 66 2/3 of $48?2. what number is 7/8 of 22?3. three fourths of 60 is what number?thanks so much!!!! :)

Svet_ta [14]

2/3 of $48 is $32. (48 / 3 = 16 x 2 =3)
7/8 of $22 is $19.25.
3/4 of 60 is 45.

3 0

3 years ago