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4 years ago

Calculate the product of and 1/5 +2/9=

2 answers:

5 0

$\frac{1}{5}~+~ \frac{2}{9}$

Find the same denominators

$\frac{9}{45}~+~ \frac{10}{45}$

$\frac{9~+~10}{45}$

$\frac{19}{45}$

Answer = $\frac{19}{45}$

monitta4 years ago

5 0

The answer is 19/45 because you have to make them the same denominator. The denominator would be 45 and so you would have to multiply 1/5 by 9 and you get 9/45 and then you multiply 2/9 by 5 and you get 10/45 and then you add those up and you get your answer.

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Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]

Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are $\frac{14}{3}$ and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

$f(x) = \frac{3x-2}{x+1}$
$g(x)=x+5$
f[ -4 ] = ?
g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

$f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}$

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

$g(\frac{3x-2}{x+1}) = (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) = \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) = 13$

Therefore, the value of f[ -4 ] and g°f[-2] are $\frac{14}{3}$ and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

6 0

2 years ago

11 is quotient of a number y and 6

valina [46]

11=y/6

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hope it helps

sorry, I didn't know how to explain it

5 0

3 years ago

Read 2 more answers

Linda wants to buy 20 crayons. ToyWorld sells crayons at 4 for 25 cents, and GameLand sells crayons at 5 for 30 cents. Which of

Lemur [1.5K]

Answer: Game land sells 20 crayons for 5 cents less.

Step-by-step explanation:

Hi, to answer this question we have to calculate the price per crayon in each store, by dividing the amount paid in each case by the number of crayons that each store offers.

Toy world (T): 25/4 = 6.25 cents per crayon

Game land (G): 30/5 = 6 cents per crayon

Now, we have to multiply the cost per crayon by 20.

T=6.25 x 20 = 125 cents

G=6 x 20 =120 cents

So, comparing both costs, Game land sells 20 crayons for 5 cents less.

125-120 = 5 cents

8 0

3 years ago

Calculate the variance of the following set of data. 3, 33, 303, 233, 3, 73, 83, 63

andrew-mc [135]

Answer:

12083.929

Step-by-step explanation:

First step: find the mean of the data.

mean = 3+33+303+233+3+73+83+63

= 794

= 99.25

Second step: Now we calculate each dog's difference from the Mean.

Example : 3–99.25=96.25

Answer: (-96.25)+(-66.25)+203.75+133.75+(-96.25)+(-26.25)+(-16.25)+(36.25)

Third step: To calculate the Variance, take each difference, square it, and then average the result.

s² = (-96.25)²+(-66.25)²+203.75²+133.75²+(-96.25)²+(-26.25)²+(-16.25)²+(36.25)²

8–1

= 9264.063+4389.063+41514.063+17889.063+9264.063+689.063+264.063+1314.063

= 84587.5

= 12083.929

Variance Formula:

Variance = s² =Σ(xi− x )²

n−1

4 0

3 years ago

Read 2 more answers

Acute angle between the hours hand and the minute hand at 1pm

Bess [88]

Answer: 30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

:-)

7 0

4 years ago

Read 2 more answers