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4 years ago

1) Multiply and simplify. (x - 4)2

Mathematics

2 answers:

choli [55]4 years ago

7 0

Answer:

Multiply and simplify.

(x - 4)2

A) x2 - 8

Step-by-step explanation:

(x-4)(x-4)

x^2-4*2

x^2-8

Paraphin [41]4 years ago

4 0

To simplify this, we will use the Distributive Property. To use the Distributive Property, we multiply the number outside of the parenthesis by all inside numbers before adding.
2(x-4)
2(x) + 2(-4)
Multiply 2 by each number.
2x - 8 is your answer.
I hope this helps!

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Which expression is equivalent

Tatiana [17]

Given expression is

$\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}$

Radical is fourth root

first we simplify the terms inside the radical

$\frac{x^{11}}{x^7}=x^4$

$\frac{y^(8)}{y^6}=y^2$

So the expression becomes

$\sqrt[4]{\frac{16x^4y^2}{81}}$

Now we take fourth root

$\sqrt[4]{16} = 2$

$\sqrt[4]{81} = 3$

$\sqrt[4]{x^4} = x$

We cannot simplify fourth root (y^2)

After simplification , expression becomes

$\frac{2x\sqrt[4]{y^2}}{3}$

Answer is option B

8 0

3 years ago

Graphing Natural Exponential Functions In Exercise,sketch the graph of the function.See Example 1.

serg [7]

Answer:

See the graph and explanation below.

Step-by-step explanation:

For this case we have the following function:

$f(x) = e^{1-x}$

We can calculate some points in order to see the tendency of the graph, we can select a set of points for example $x =-2,-1.5,-1,0,1,1,5,2$ and we can calculate the values for f(x) like this

x=-2

$f(x=-2) =e^{1+2}= e^{3}=20.086$

x=-1.5

$f(x=-1.5) =e^{1+1.5}= e^{2.5}=12.182$

x=-1

$f(x=-1) =e^{1+1}= e^{2}=7.389$

x=0

$f(x=0) =e^{1-0}= e^{1}=2.718$

This point correspond to the y intercept.

x=1

$f(x=1) =e^{1-1}= e^{0}=1$

x=2

$f(x=2) =e^{1-2}= e^{-1}=0.368$

We don't have x intercepts for this case since the functionnever crosses the x axis.

And then we can see the plot on the figure attached.

5 0

3 years ago

What is the sum of this infinite geometric series? 1/4, 1/5, 4/25, 16/125

Pepsi [2]

Answer:

Step-by-step explanation:

Given infinite geometric series

1/4, 1/5, 4/25, 16/125, ...

We see that

a = 1/4
r = 4/5

Sum of the series

S = a*1/(1 -r)
S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4

4 0

3 years ago

Read 2 more answers

Joyce's mother buys some shares of Company A on Day 0.

antoniya [11.8K]

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

3 0

3 years ago

Solve for p 16 - 3p = 2/3p + 5

Nookie1986 [14]

P = 3

Step-by-step explanation:

Multiply both sides by 3

48-9p=2p+15

Add 9p to both sides

48=2p+15+9p48=2p+15+9p

Simplify 2p+15+9p2p+15+9p to 11p+15

48=11p+15

Subtract 15 from both sides

48−15=11p

Simplify 48-15 to 33

33=11p

Divide both sides by 11

\frac{33}11=p11/33=p

Simplify 11/33 to 3

3=p

Switch sides

p=3

Kono Dio Da!!!

4 0

4 years ago

Read 2 more answers