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3 years ago

9. Find (f.g)(a) if f(a) = . and g(a) = 2². Fully simplify your answer.

Mathematics

1 answer:

Aleks04 [339]3 years ago

8 0

D is your answer ....

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Find the length of side x in simplest radical form with a rational denominator

Yakvenalex [24]

Answer:

x = √(10)/2

Step-by-step explanation:

Here, we want to get the measure of the side marked x

what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each

Hence, the other last side will measure x too

Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

x^2 + x^2 = (√5)^2

2x^2 = 5

x^2 = 5/2

x = √(5/2)

x = √5/√2

Rationalizing the denominator;

x = (√2 * √5)/(√2 * √2)

x = √10/2

4 0

3 years ago

The perimeter of the rectangle below is 112 units. Find the length of side VW . Write your answer without variables. Top YX: 4z

dimaraw [331]

Answer:

$VW = 33$

Step-by-step explanation:

<em>See attachment for complete question</em>

Given

$VY = 4x - 1$

$VW = 5x + 3$

$Perimeter = 112$

Required

Determine the length of VW

Perimeter is calculated as:

$Perimeter = 2 * (Width + Length)$

This gives:

$Perimeter = 2 * (VW + VY)$

Substitute values for VW, VY and Perimeter

$112 = 2 * (4x - 1 + 5x + 3)$

Collect Like Terms

$112 = 2 * (4x + 5x -1 +3)$

$112 = 2 * (9x +2)$

Divide through by 2

$56 = 9x + 2$

Collect Like Terms

$9x = 56 - 2$

$9x = 54$

$x = 54/9$

$x = 6$

Substitute 6 for x in $VW = 5x + 3$

$VW = 5 * 6 + 3$

$VW = 30 + 3$

$VW = 33$

4 0

3 years ago

I need help

ankoles [38]

Your answer would be y + 9 = m(x + 6)

6 0

3 years ago

What is 41 3/4 simplified ?

solong [7]

Answer:

41 3/4 Is already is in simplified form

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Anvisha [2.4K]

Answer:

Probability will be 0.5779

Step-by-step explanation:

Number of tablets n = 19

Probability of defect rems that is p = 0.03

Here number of trials is fixed and probability of success = 0.03

Here p = 0.03

So q = 1 - p = 1 -0.03 = 0.97

By using binomial distribution

Probability is given by $^nC_rp^rq^{n-r}$

So P(0 or 1) = $^{19}C_0{0.03}^0{0.97}^{19-0}+^{19}C_1{0.03}^1{0.97}^{19-1}=0.5606+0.0173=0.5779$

4 0

3 years ago