All categories

3 years ago

Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

$y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\
x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)$

You might be interested in

A video game company surveys a random sample of 225 of its best customer and finds that the average gamer spends $606 a year on

victus00 [196]

Answer:

Multi facets

Step-by-step explanation:

First company surveys best customers so they are highest spending

First company standard deviation is high @ $62 so their spends are $606 a year plus or minus $180 (rounded up)

Second company has a Random sample so includes all customers

Second company has larger number of responses

Second company has a range of plus or minus $40

6 0

3 years ago

A picture frame can hold a photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the fra

velikii [3]

The answer is 192 square inches

8 0

3 years ago

Read 2 more answers

find the probability that a data value picked at random from a normally distributed population will have a standard score that c

vodka [1.7K]

$\mathbb P(Z$

The empirical rule says that approximately 99.7% of any normal distributions falls within three standard deviations of the mean, which leaves 0.3% outside that range, and due to the distribution's symmetry, 0.15% to either side. This means

$\mathbb P(Z$
$\mathbb P(|Z|$

So

$\mathbb P(Z$

or about 99.9%.

4 0

4 years ago

- The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you

Zolol [24]

Answer:

the weight of each marble is 2.55 grams

5 0

3 years ago

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p

Gemiola [76]

Answer:

The value of the bond when Tyler's mom purchased it was $150

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

$f(x)=a(b)^{x}$

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem

r=4%=4/100=0.04

b=1+0.04=1.04

substitute

$f(x)=a(1.04)^{x}$

where

x is the number of years since the savings bond was purchased

f(x) is the value of the savings bond

For x=1

f(x)=$156

substitute

$156=a(1.04)^{1}$

Solve for a

$156=a(1.04)$

$a=\$150$

therefore

The value of the bond when Tyler's mom purchased it was $150

8 0

4 years ago