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2 years ago

1) Graph both equation and identify the point of intersection. y=2x+3 x+2y=8

Mathematics

1 answer:

Verizon [17]2 years ago

5 0

Answer:

Intersection Point: (0.4, 3.8)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 3

x + 2y = 8

Step 2: Graph

Where the 2 lines intersect is the solution set to the systems of equations.

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1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140

MrMuchimi

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8 0

3 years ago

A random number from 1 to 5 is selected

shutvik [7]

Answer:

Relative frequency of selecting a 2 = 8/50 = 0.16

Relative frequency of selecting a 3 = 14/50 = 0.28

Step-by-step explanation:

When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.

Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.

Out of these 50 times, the outcome "2" appears 8 times.

Then the relative frequency of selecting the number 2 is:

f(2) = 8/50 = 0.16

And of these 50 experiments, the outcome "3" appears 14 times.

Then the relative frequency of selecting the number 3 is:

f(3) = 14/50 = 0.28

7 0

3 years ago

3. If Earth was 10 times farther away from the sun than it is now, which planet would it be closest to? (Assume all the planets

Soloha48 [4]

The earth is 93 million miles away from the sun. 93 million times 10 is 930,000,000 away. Mars is currently 141.6 million miles from the sun. Assuming the planets were in a straight line you would subtract from 141.6 million miles the 93 million miles so that would put us within 48,600,000 miles of Mars. So the answer is we would be closest to Mars.

8 0

3 years ago

Read 2 more answers

Round 29.315 to the nearest hundredth

castortr0y [4]

Answer:

29.32

Step-by-step explanation:

sense 1 is the hundredth you just round now so 5 is big enough so it would make the hundreth number go up by 1.

6 0

3 years ago

Solve the equation x^2-4x+85=0

lara [203]

Can't factor
use quadratic
for
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^2-4ac} }{2a}$

given
1x^2-4x+85=0
a=1
b=-4
c=85

x= $\frac{-(-4)+/- \sqrt{(-4)^2-4(1)(85)} }{2(1)}$
x= $\frac{4+/- \sqrt{16-340} }{2}$
x= $\frac{4+/- \sqrt{-324} }{2}$
x= $\frac{4+/- (\sqrt{-1})(\sqrt{324}) }{2}$
remember that √-1=i
x= $\frac{4+/- i(\sqrt{324}) }{2}$
x= $\frac{4+/- i(18) }{2}$
x=2+/-9i

x=2+9i or x=2-9i

3 0

3 years ago