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2 years ago

Consider this exponential equation:

Mathematics

1 answer:

ioda2 years ago

4 0

Step-by-step explanation:

F( x ) = 5 (3) ^ x

Y intercept

Let x = 0

f(0) = 5× 3 ^ 0

f(0 = 5 × 1

f(0) = 5

X intercept

let y = o

0 = 5 × 3 ^x

No x intercept/ zero

therefore

Vertical intercept (0; 5)

Domain XER

▪︎this refer to the values of X

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Which image shows a plane slicing a double-napped cone to produce a hyperbola? Answer is D

Butoxors [25]

The second image in the diagram is a hyperbola. As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone. This has a very important implication. The plane cuts both cones of the double-napped cone. The third double-napped cone of Figure 3 shows two hyperbolas.

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2 years ago

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vredina [299]

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2 years ago

Given the cost function C(x) = 0.81x + 60, 420 and the revenue function R(x) = 1.87x, find the break-even point

Viktor [21]

Answer:

x = 57,542.8571

Step-by-step explanation:

C(x) = 0.81x + 60,420

R(x) = 1.87x

At break even point, Cost function and revenue function becomes equal.

-> C(x) = R(x)

-> 0.81x + 60,420 = 1.87x

-> 60420 = 1.87x - 0.82x

-> 60420 = 1.05x

-> x = 60420/1.05

-> x = 57,542.8571

Thus, at break even point x = 57,542.8571

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2 years ago

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=20°, and CD = 94 feet. Find the length of BC to the nearest tenth of a foot.

kkurt [141]

Answer:

274.8

Step-by-step explanation:

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2 years ago

in a given training week a swimmer completes 1/4 mile on day one 2/5 mile on day two and 3/7 mile on day three,,

dalvyx [7]

We'll have to add up all the fractions.
First, find the LCM of the denominators.
To do this, we'll use the listing method.

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, all the way to 140.
5: 5, 10, 15, 20, 25, 30, 35, all the way to 140.
7: 7, 14, 21, 28, 35, 42, 49, all the way to 140.

So, 140 is the Least Common Multiple.

Multiply the numerator of 1 as many times you multiplied 4 to get to 140, which is 35.
1 x 35 = 35.

Multiply the numerator of 2 as many times you multiplied 5 to get to 140, which is 28.
2 x 28 = 56

Multiply the numerator of 3 as many times you multiplied 7 to get to 140, which is 20.
3 x 20 = 60.

So: 35/140 + 56/140 + 60/140
=35/140 + 116/140
=151/140
=1 11/140

So, the swimmer swam 1 and 11/140th of a mile.

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3 years ago

Read 2 more answers