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3 years ago

Applied to the graph

Mathematics

2 answers:

lana [24]3 years ago

7 0

Answer:

Using the graph of f(x) and g(x), where g(x) = f(kx), determine the value of k. A: 4 B: 1/4 C:-1/4 D:-4 "

Step-by-step explanation:

Blababa [14]3 years ago

6 0

Answer: look at picture

Step-by-step explanation:

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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Andrew [12]

Answer: x = 9.611 ; or ; x = 9 11/18 .
_________________________________________________
Explanation:
________________________________________________

All angles of any triangle must add up to 180 degrees.

So, (10x - 4) + (8x + 3) + 91 = 180 ; Solve for "x" ;
___________________________________________
10x - 4 + 8x + 3 + 81 = 180 ;

Combine the "like terms" on the left-hand side of the equation:
___________________________________________
+10x + 8x = 18x ;

- 4 + 3 + 8 = 7 ;
____________________________
18x + 7 = 180 ;
___________________________________________
Subtract "7" from each side of the equation:
___________________________________________
18x + 7 - 7 = 180 - 7 ;
___________________________________________
to get:

18x = 173 ;
_________________________________
Divide EACH side of the equation by "18" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_________________________________
18x / 18 = 173 / 18 ;
_________________________________
x = 9.6111111111111111....
_____________________________________

Write as: 9.611 ; or; 9 11/18.
____________________________________

7 0

3 years ago

. A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and six 75-W bulbs. Suppose that three bulbs ar

yaroslaw [1]

Answer:

a) 59.34%

b) 44.82%

c) 26.37%

d) 4.19%

Step-by-step explanation:

(a)

There are in total 4+5+6 = 15 bulbs. If we want to select 3 randomly there are K ways of doing this, where K is the combination of 15 elements taken 3 at a time

$K=\binom{15}{3}=\frac{15!}{3!(15-3)!}=\frac{15!}{3!12!}=\frac{15.14.13}{6}=455$

As there are 9 non 75-W bulbs, by the fundamental rule of counting, there are 6*5*9 = 270 ways of selecting 3 bulbs with exactly two 75-W bulbs.

So, the probability of selecting exactly 2 bulbs of 75 W is

$\frac{270}{455}=0.5934=59.34\%$

(b)

The probability of selecting three 40-W bulbs is

$\frac{4*3*2}{455}=0.0527=5.27\%$

The probability of selecting three 60-W bulbs is

$\frac{5*4*3}{455}=0.1318=13.18\%$

The probability of selecting three 75-W bulbs is

$\frac{6*5*4}{455}=0.2637=26.37\%$

Since the events are disjoint, the probability of taking 3 bulbs of the same kind is the sum 0.0527+0.1318+0.2637 = 0.4482 = 44.82%

(c)

There are 6*5*4 ways of selecting one bulb of each type, so the probability of selecting 3 bulbs of each type is

$\frac{6*5*4}{455}=0.2637=26.37\%$

(d)

The probability that it is necessary to examine at least six bulbs until a 75-W bulb is found, supposing there is no replacement, is the same as the probability of taking 5 bulbs one after another without replacement and none of them is 75-W.

As there are 15 bulbs and 9 of them are not 75-W, the probability a non 75-W bulb is $\frac{9}{15}=0.6$

Since there are no replacement, the probability of taking a second non 75-W bulb is now $\frac{8}{14}=0.5714$

Following this procedure 5 times, we find the probabilities

$\frac{9}{15},\frac{8}{14},\frac{7}{13},\frac{6}{12},\frac{5}{11}$

which are

0.6, 0.5714, 0.5384, 0.5, 0.4545

As the events are independent, the probability of choosing 5 non 75-W bulbs is the product

0.6*0.5714*0.5384*0.5*0.4545 = 0.0419 = 4.19%

3 0

3 years ago

HELP THIS IS WORTH 40 POINTS Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on

ankoles [38]

A.) If Lucy sells 1 necklace, her sales would equal to $15.99. Then her profit would be:

Profit = $15.99 - $3.38(1) - $5.57(1)
Profit = $7.04

The fraction of the sale price of the necklace in profit is denoted as x.

15.99x = 7.04
x = 704/1559

b.) This is the same as part (a) but in decimal form. Just simply divide 704 by 1559. The answer is 0.44

c.) If Lucy's sales is $223.86 and each necklace costs $15.99, then the number of necklaces sold is $223.86 ÷ $15.99/necklace = 14 necklaces

Her profit for the 14 necklaces sold would be:

$223.86 - $3.38(14) - $5.57(14) = $98.56

7 0

3 years ago

Read 2 more answers

Solve the inequality x + 2 > 6.

Aloiza [94]

Answer:

x > 4

Step-by-step explanation:

x + 2 > 6

-2 -2

x > 4

7 0