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Gennadij [26K]
2 years ago
13

An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during

the first few months of the drought. When the agency began its research, the depth of the lake was 346 feet. The table represents the agency’s susequent observations about the lake's depth.
Which equation represents the depth of the lake, y, based on the number of weeks passed, x?

y = -0.6x + 346

y = -1.2x + 346

y = -0.6x

y = -1.2x
Mathematics
2 answers:
Ad libitum [116K]2 years ago
6 0

Answer:

y = -0.6x + 346

Step-by-step explanation:

dybincka [34]2 years ago
5 0
"y = -0.6x + 346" is the one equation among the choices given in the question that <span>represents the depth of the lake, y, based on the number of weeks passed, x. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has helped you.</span>
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castortr0y [4]

(3x+1)+(4x-5)=8x-9

7x-1=8x-9

7x=8x-8

-x=-8

X=8

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3 years ago
An organic farmer buys a piece of land. She plants tomatoes on 5/9 of the land and green beans on 1/12 of the land. She plants p
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8 0
3 years ago
If M = 5x2 + 7x-4 and N = -3x2-4x+5, then M -N equals
Yuki888 [10]

Answer:

M-N=4

Step-by-step explanation:

6 0
3 years ago
PLEASE HELPP ♥
kirza4 [7]

Answer:

An exponential function is a function of the form

f(x)=bx

where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).

Solve the equation: 52x−3=752x−3=7.

Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb⁡(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.

52x−3log

⎛⎝⎜

⎞⎠⎟=7=2x−352x−3=7log5

⁡(7

)=2x−3

From here, we can solve for xx directly.

2xx=log5(7)+3=log5(7)+32

A logarithmic function is a function defined as follows

logb(x)=ymeans thatby=xlogb⁡(x)=ymeans thatby=x

where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).

Solve the equation:

log3(2x+1)=1−log3(x+2).log3⁡(2x+1)=1−log3⁡(x+2).

With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.

log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3⁡(2x+1)=1−log3⁡(x+2)log3⁡(2x+1)+log3⁡(x+2)=1log3⁡((2x+1)(x+2))=1log3⁡(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0

Let’s use quadratic formula to solve this.

x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±

−−−−−−−−⎷4.x=−5±52−4⋅2⋅−12⋅2=−5±33

4.

What happens if we try to plug x=

4 0
3 years ago
Which number is equivalent to the expression 8+2(12-5)
Irina18 [472]

8+2(12-5)

here we solve the bracket part first

8+2(7)

Now multiplying 2*7

8+14

=22

Answer 8+2(12-5)=22

3 0
3 years ago
Read 2 more answers
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