Answer:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x
= −
2 − ln
(
6
)/
ln
(
4
)
Decimal Form:
x
= −3.29248125
…
Hope this helps!
In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the intersection of two distinct lines, which either is one point or does not exist if the lines are parallel.
The function that describes the car's distance from little rocks would be option A; y = 45x + 280
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Point 1:
(x, y) = (0, 280)
Since we are told the car's initial position is 280 miles in the time 0 h
Point 2:
(x, y) = (4, 100)
Since we are told the car's final position is 100 miles after 4h.
Let's find the Slope :
m = 45
Now, the equation of the line is:
y = mx + b
y = 45x + 280
Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280
Learn more about equations here;
brainly.com/question/10413253
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Answer:
The number of cats at the shelter on Friday was 20.
Step-by-step explanation:
Hi there!
Let "x" be the number of cats and "y" the number of dogs.
The shelter spends $2 per cat and $7 per dog. If the total expenses on Friday was $82, then, two times the number of cats plus seven times the number of dogs is equal to 82:
2x + 7y = 82
We also know that the total number of cats and dogs was 26. Then, the number of cats plus the number of dogs is equal to 26:
x + y = 26
Let´s solve this equation for y and replace it in the first equation
y = 26 - x
Then:
2x + 7(26 - x) = 82
Apply distributive property:
2x + 182 - 7x = 82
Subtract 182 to both sides of the equation:
-5x = -100
divide both sides of the equation by -5
x = 20
The number of cats at the shelter on Friday was 20.
Have a nice day!
All you would have to do is look at the 2 in the place of the thousands which equals 2000, then look at the 2 that is in the place of the tens, which equals 20, so (this might get complicated) 2000/20 is... (If you need more help just tell me)
