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rusak2 [61]
3 years ago
11

The graph of an exponential function has a y-intercept of 4 and contains the point (3,500). Construct the exponential function t

hat describes the graph.
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

The "formula" for an exponential function is f(x) = a * bˣ where a is the initial value / y-intercept. Therefore, a = 4 so f(x) = 4 * bˣ. To solve for b, we can plug in the values x = 3 and f(x) = 500 which becomes:

500 = 4 * b³

125 = b³

b = 5 so the answer is f(x) = 4 · 5ˣ.

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Answer:

y = -4x + 10

Step-by-step explanation:

I am going to assume you are trying to write the equation of a line.

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One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
3 0
4 years ago
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Then the multiplication becomes (10+5) * (30+2) which will result in 4 partial product like this:
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