Six times a number is greater than 20 more than that number. What 7744 r

Mathematics

1 answer:

sertanlavr [38]3 years ago

4 0

Answer:

i think you solved it

Step-by-step explanation:

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Solve the system of equations algebraically

lora16 [44]

2x + 2y = 10
x + y = 5
x = 5 - y
Substitute for x in the other equation:-

(5 - y - 3)^2 + (y + 2)^2 = 16
(2 - y)^2 + (y + 2)^2 = 16
4 - 4y + y^2 + y^2 + 4y + 4 = 16
2y^2 + 8 = 16

2y^2 - 8 = 0
y^2 = 4

y = +/- 2

consider 2x + 2y = 10

when y = -2, 2x = 10 +4 giving x = 7
when y = 2, 2x = 10 - 4 giving x = 3

so solution is x = 7, y = -2 and x = 3, y=2.

8 0

3 years ago

uhhhh will give brainiest, find the frequency of the intervals. 5 points uhh no bots or spam give the correct answer

makvit [3.9K]

Step-by-step explanation:

Determine the data range of the data set.

Decide the width of the class intervals.

Divide the range by the chosen width of the class interval to determine the number of intervals.

4 0

3 years ago

Suppose cos(π/2−x) =3/5, cos x =4/5 find sin, tan, csc, sec, cot

Pani-rosa [81]

Cos (π/2 - x) = sin x = 3/5
tan x = sin x / cos x = 3/5 / 4/5 = 3/4
csc x = 1/sin x = 1 / 3/5 = 5/3
sec x = 1/cos x = 1 / 4/5 = 5/4
cot x = 1/tan x = 1 / 3/4 = 4/3.

5 0

3 years ago

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between

aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable X denote the water depths.

As the variable water depths is continuous variable, the random variable X follows a continuous Uniform distribution with parameters a = 2.00 m and b = 7.00 m.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$