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3 years ago

Solve the following system of equations by linear combination: 5x 2y = 14 y = x – 7

1 answer:

4 0

I would use subsitution
y=x-7
sub x-7 for every x
5x+2(x-7)=14
5x+2x-14=14
add 14 to both sides
7x=28
divide both sides by 7
x=4
sub
y=x-7
y=4-7
y=-3

x=4
y=-3
(4,-3)

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3 years ago

The the intensity I of light (in lumens) in a certain lake at a depth of x feet is given by log(1/12) = -0.00235x. What is the i

ch4aika [34]

Answer:

11.45 lumens

Step-by-step explanation:

We are given that

$log(I/12)=-0.00235x$

Where x=Depth

I=Intensity of light

We have to find the intensity of the light at a depth of 20 feet.

Substitute the value of x

$log(I/12)=-0.00235\times 20$

$log(I/12)=-0.047$

$\frac{I}{12}=e^{-0.047}$

$I=12e^{-0.047}$

$I=11.45 Lumens$

Hence, the intensity of the light (in lumens) at a depth of 20 feet=11.45 lumens

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3 years ago

What are the real or imaginary solutions of each polynomial equation?

Semmy [17]

1) a
2) c

#1 explanation:

x^4-20x^2=-64
x^4-20x^2+64=0
(find a number that multiplies to the last number aka 64 and adds up to b aka 20)
((x-4)(x-16))^2
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same for #2 w different variable and numbers

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3 years ago

A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue). a. 9 c. One-fourth b. Four-thirds d. three-f

gayaneshka [121]

In order to find the probability of drawing a marble that is NOT BLUE, we must find the ratio of non-blue marbles to the total amount of marbles

Let's count how many marbles total there are first

8 red + 3 blue + 1 green = 12 marbles total

Now, how many marbles are there that ARE NOT BLUE

8 red + 1 green = 9 marbles THAT ARE NOT BLUE

Now let's create a ratio to find a probility

9/12

This can be simplified to 3/4 by taking out the common factor of 3

Your answer is D! "three-fourths"

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3 years ago

What is the solution to 6x + 1 = 4x -3

PSYCHO15rus [73]

6x +1 = 4x -3

6x = 4x -4

2x = -4

x =-2

your answer is -2

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3 years ago

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