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Yuki888 [10]
3 years ago
11

In comparison 1/3to where would 3/9be

Mathematics
1 answer:
ryzh [129]3 years ago
3 0
B- at the same point. 3/9 simplified would be 1/3....
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If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).
jarptica [38.1K]
Hello : 
f'(7) = the slope of the tangent line : let  A(7,4)    B(0,3)<span>
<span>the slope is :   (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
 y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>
4 0
2 years ago
After 4,000 gallons of water were added to a large water tank that was already filled to 3/4 of its capacity, the tank was then
dangina [55]

Answer:  The correct option is

(E) 80,000.

Step-by-step explanation:  Given that after adding 4,000 gallons of water to a large tank that was already filled to \dfrac{3}{4} of its capacity, the tank was then at \drac{4}{5} of its capacity.

We are to find the number of gallons of water that the tank hold when filled to capacity.

Let the tank can hold x gallons of water when filled to capacity.

Then, according to the given information, we have

\dfrac{3}{4}x+4000=\dfrac{4}{5}x\\\\\\\Rightarrow \dfrac{4}{5}x-\dfrac{3}{4}x=4000\\\\\\\Rightarrow \dfrac{16-15}{20}x=4000\\\\\Rightarrow x=4000\times20\\\\\Rightarrow x=80000.

Thus, the required capacity of the tank is 80,000 gallons of water.

Option (E) is CORRECT.

4 0
3 years ago
3w - (7w + 12) = 2(w – 3)<br><br>how do u do this step by step​
exis [7]
3w-7w-12=2w-6

-4w-12=2w-6

-12=6w-6

-6=6w

w=-1
3 0
3 years ago
Read 2 more answers
What is nine times what equals 513
guapka [62]

Answer:

57

Step-by-step explanation:

How I did this was 513 divided by 9 so the equation that I did was 513/9.

4 0
3 years ago
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Find the area of the triangle.<br> PLEASE HELP ASAP!
tatyana61 [14]

Answer:

D 111.4 cm²

Step-by-step explanation:

5 0
2 years ago
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