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Fed [463]
3 years ago
5

Determine the x-intercept for 3x + 2y = 14.

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

First isolate y

3x + 2y = 14

-3x              -3x

2y = -3x + 14

y = -3/2x + 14/2

y = -3/2x + 7

X-intercept is found when y = 0

0 = -3/2x + 7

-7 = -3/2x

x = 14/3

x-in. = (14/3,0)

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The amount in kilograms, a, of a radioactive element that remains after t hours can be modeled by the equation a= 0.65(0.92)to t
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Answer:

The rate of decrease is 8%

Step-by-step explanation:

we know that

The general equation for the radioactive decay can be written as:

a=a_0(1-r)^t

where

a is the amount in kilograms after time t.

a_0 is the original amount of the substance or y-intercept of the function

r is the decay rate, written in decimals.

t is the time

In this problem we have

a=0.65(0.92)^t

so

a_0=0.65\\(1-r)=0.92

solve for r

r=1-0.92=0.08

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6 0
3 years ago
If f(x) = 1 - 2x^3, find the inverse of f.
Artyom0805 [142]
Swap x and y's positions

f(x) is another way of saying y, so basically tha initial function is y = 1-2x^3.

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7 0
3 years ago
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allochka39001 [22]
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Step-by-step explanation:

6 0
2 years ago
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
juin [17]

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}

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x² = 16 × 9

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5 0
3 years ago
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