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3 years ago

Anyone help me ASAP, its due in an hour, plz show all the working, THANK YOU SO MUCH

Mathematics

1 answer:

Leona [35]3 years ago

8 0

Answer:

Step-by-step explanation:

First, start out with the parent function:

$y = b^{x}$

Now, we look at the transformations, and make the equation.

We see that the graph shifted down 4 units, since the graph's horizontal asymptote is at y = -4.

$y = b^{x} - 4$

We see point (0, -3) to point (1, -1). The value of b would be 3. The reason is that when you plug 0 in, you get 1, then 1 - 4 equals 3. (0, -3),

Then, when you plug in 1, you get 3, then 3 - 4 equals -1. This matches up with the graph.

This is the answer:

$y = 3^{x}-4$

#teamtrees #WAP (Water And Plant)

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Rewrite 4 1/2=2 please

Luda [366]

The logarithmic expression of 4^(1/2) = 2 is $\log_4(2) = \frac 12$

<h3>How to rewrite the expression?</h3>

The expression is given as:

4^(1/2) = 2

Take the logarithm of both sides

log(4^(1/2)) = log(2)

Apply the change of base rule

1/2log(4) = log(2)

Divide both sides by log(4)

1/2 = log(2)/log(4)

Change the base

$\frac 12 =\log_4(2)$

Rewrite as:

$\log_4(2) = \frac 12$

Hence, the logarithmic expression of 4^(1/2) = 2 is $\log_4(2) = \frac 12$

Read more about logarithmic expression at:

brainly.com/question/24211708

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2 years ago

If z^2 1/z^2= 34 find the value of z^3 1/z^3 , using only the positive value of z 1/z

natima [27]

Hello,

Let's assume

$u=z+ \dfrac{1}{z} \\

u^2=(z+ \dfrac{1}{z} )^2=z^2+2*z* \dfrac{1}{z} + \dfrac{1}{z^2} =34+2=36\\
==\ \textgreater \ \ u=6\\

(z+ \dfrac{1}{z} )^3=(z+ \dfrac{1}{z} )(z^2+z* \frac{1}{z} + \frac{1}{z^2} )\\

=6*(34+1)=210
$

4 0

4 years ago

Simplify completely quantity 2 x minus 24 over 8.

mihalych1998 [28]

(2x-24)/8
the only way to simplify it is divide every number by 2
(x-12)/4=(1/4)x-3

6 0

4 years ago

Read 2 more answers

convert reapeating decimal where all numbers do not repeat(expert) explain! .13 (3 has a line above it)

aleksley [76]

Answer:

see explanation

Step-by-step explanation:

The bar above the 3 indicates the 3 is being repeated, that is

0.13333....

We require to make 2 equations with the repeating 3 after the decimal point.

let x = 0.13333... , then multiply both sides by 10 then 100

10x = 1.3333 ← equation with repeating 3 after the decimal point

100x = 13.3333 ← second equation with repeated 3 after the decimal point

Subtracting the equations eliminates the repeated 3, that is

100x - 10x = 13.333 - 1.333

90x = 12 ( divide both sides by 90 )

x = $\frac{12}{90}$ ← divide numerator/denominator by 6, hence

0.1333... = $\frac{2}{15}$

5 0

3 years ago

Read 2 more answers

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find

Anvisha [2.4K]

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

3 0

3 years ago