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3 years ago

Write an exponential function in the form y = ab that goes through points (0,19)and (5,4617).

Mathematics

1 answer:

gtnhenbr [62]3 years ago

3 0

Answer:

y = 1/2 (2)x

Step-by-step explanation:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3 Solve each equation for a.

2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2 Divide both sides by b2

2b = 4 a = 2/4 = 1/2

b = 2

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Answer:

It would be 1/40320

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3 years ago

Metodo igualacion A) x+ y = 12 B) x - y = 4 ?

Olenka [21]

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3 years ago

The teacher asked 4 students to measure 4 different objects. The table shown represents their measurements. Which student had th

Maru [420]

Student 4 has the largest percent error.

Step-by-step explanation:

The percent error of a measurement is given by

$p=\frac{|x-x_{true}|}{x_{true}}\cdot 100$

where

x is the value of the measurement

$x_{true}$ is the actual value

For student 1:

$x=49\\x_{true}=50$

Percent error:

$p=\frac{|49-50|}{50}\cdot 100=0.02\cdot 100=2\%$

For student 2:

$x=25.5\\x_{true}=25$

Percent error:

$p=\frac{|25.5-25|}{25.5}\cdot 100=0.0196\cdot 100 = 1.96\%$

For student 3:

$x=7.5\\x_{true}=8$

Percent error:

$p=\frac{|7.5-8|}{8}\cdot 100=0.0625\cdot 100 = 6.25\%$

For student 4:

$x=2.1\\x_{true}=1.6$

Percent error:

$p=\frac{|2.1-1.6|}{1.6}\cdot 100=0.3125\cdot 100 = 31.25\%$

So, student 4 has the largest percent error.

Learn more about errors:

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4 0

3 years ago

Which of the following is a solution of x2 + 2x + 8?

zubka84 [21]

Using the quadratic equation we get:
$\frac{ - 2 + - \sqrt{4 - 32} }{2} = \frac{ - 2 + - \sqrt{ - 28} }{2}$

Factoring out 2 we get
$\frac{ - 2 + - 2\sqrt{ - 7} }{2} = - 1( + - ) \sqrt{ - 7}$
Factoring out the imaginary number:
$- 1 + \sqrt{7} i \: (and) \: - 1 - \sqrt{7} i$
So b.

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2 years ago

Given the following sequence, find the 14th term: 3, 1, –1, –3, –5, . . .

AVprozaik [17]

3, 1, -1, -3, -5
-2 -2 -2 -2

a(n) = a₁ + d(n - 1)
a(n) = 3 - 2(n - 1)
a(n) = 3 - 2(n) + 2(1)
a(n) = 3 - 2n + 2
a(n) = -2n + 3 + 2
a(n) = -2n + 5
a₁₄ = -2(14) + 5
a₁₄ = -28 + 5
a₁₄ = -23

The answer is C.

7 0

3 years ago

Read 2 more answers

Write an exponential function in the form y = ab that goes through points (0,19)and (5,4617).​

Write an exponential function in the form y = ab that goes through points (0,19)and (5,4617).