The computation of the word problem shows that the oranges will John have in 12 weeks will be 70 oranges.
<h3>How to solve the word problem?</h3>
The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks.
The computation will be:
= 10 + 5x
where x= number of weeks.
= 10 + 5x
= 10 + 5(12)
= 10 + 60
= 70 oranges
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Answer:
The domain is found depending on the information you're given. In a table, the domain is found by taking all the x values given and listing them least to greatest. Same with ordered pairs. In a graph, the domain is found by first seeing if there are any restrictions and then find the x values that work and have one output.
The range is found the same way, but with the y values.
Hope this helps!!
Answer:
option-C
terminal
Step-by-step explanation:
We know that
reference angle is between terminal side and x-axis
so, the other side will be terminal position
so, we can write as
The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.
So,
option-C
terminal
Answer:
and 
Step-by-step explanation:
The equation of curve is

We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
![2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})](https://tex.z-dn.net/?f=2%5B2%28x%5E2%2By%5E2%29%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E2%2By%5E2%29%5D%3D25%282x-2y%5Cfrac%7Bdy%7D%7Bdx%7D%29)

The point of tangency is (-3,1). It means the slope of tangent is
.
Substitute x=-3 and y=1 in the above equation.





Divide both sides by 130.

If a line passes through a points
with slope m, then the point slope form of the line is

The slope of tangent line is
and it passes through the point (-3,1). So, the equation of tangent is


Add 1 on both sides.


Therefore,
and
.
Answer:
320
Step-by-step explanation:
Distance covered by falcon in 2 hours=300*2=600 km
Distance covered by goose in 2 hours=140*2=280 km.
Falcon flew 600-280=320 km more than goose