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3 years ago

Y − 3x = 4 slope intercept form plsssssssss

Mathematics

2 answers:

anyanavicka [17]3 years ago

5 0

Answer:

y = 3x + 4

Step-by-step explanation:

The slope-intercept form of a line is y = mx + b. We add - 3x to 4 to isolate the y.

Leya [2.2K]3 years ago

3 0

Y= 3x+4. add 3x to both sides to get 3x on the right side, leaving y by itself.

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A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

3 years ago

2cos5xcos3x+sinx=cos8x

harkovskaia [24]

It looks like your equation (it's not an identity) is

2 cos(5x) cos(3x) + sin(x) = cos(8x)

Recall that

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==> 2 cos(x) cos(y) = cos(x + y) + cos(x - y)

so that

2 cos(5x) cos(3x) = cos(8x) + cos(2x)

Then the equation simplifies to

cos(8x) + cos(2x) + sin(x) = cos(8x)

cos(2x) + sin(x) = 0

Also recall that

cos(2x) = 1 - 2 sin²(x)

so the equation is quadratic in sin(x) and can be factorized:

1 - 2 sin²(x) + sin(x) = 0

2 sin²(x) - sin(x) - 1 = 0

(2 sin(x) + 1) (sin(x) - 1) = 0

Solve for x :

2 sin(x) + 1 = 0 or sin(x) - 1 = 0

sin(x) = -1/2 or sin(x) = 1

[x = arcsin(-1/2) + 2nπ or x = π - arcsin(-1/2) + 2nπ] or x = arcsin(1) + 2nπ

(where n is any integer)

x = -π/6 + 2nπ or x = -5π/6 + 2nπ or x = π/2 + 2nπ

4 0

3 years ago

For every 6 kg of a child's weight, pediatricians prescribe 7 mg of fever reducer. If Greg weighs 42 kg, how many milligrams

olya-2409 [2.1K]

Answer:

49mg

Step-by-step explanation:

let's call every 7 mg of fever reducer a "dose"

Divide the weight of Greg by the weight per "dose"

42/6 = 7 doses

Each "dose" is 7mg. Multiply the number of doses by 7mg.

7 dose X 7mg = 49mg

Therefore, if Greg weighs 42kg, the pediatrician will prescribe 49mg of fever reducer.

4 0

4 years ago

Read 2 more answers

Eduardo has a wooden dowel rod that is StartFraction 8 Over 15 EndFraction of a yard long that he needs to cut into 24 equal-len

Romashka [77]

Answer:

StartFraction 1 Over 45 EndFraction of a yard

Step-by-step explanation:

Length of the wooden dowel rod = 8/15 of a yard

Number of pieces = 24

What is the length of each piece of dowel rod?

Length of each piece of dowel rod = Total length of wooden dowel rod / number of pieces

= 8/15 ÷ 24

= 8/15 × 1/24

= (8*1) / (15*24)

= 8/360

= 1/45

Length of each piece of dowel rod = 1/45 of a yard

6 0

3 years ago

What is 0+0 plz help me o am in college and need help

s2008m [1.1K]

The answer is 0

0+0=0

7 0

3 years ago

Read 2 more answers