f(x) = 3 - 2x and g(x) =
1/X+5 what is the value of
(f/g)(8)

Answer:

Time, t = 5 seconds.

Step-by-step explanation:

Given the following data;

Initial velocity = 16 ft/s

Height = 480 ft

Acceleration due to gravity = 32 ft/s²

To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;

[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]

Where;

Substituting into the equation, we have;

[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]

[tex] 480 = 16t + 16t^{2} [/tex]

Dividing all through by 16, we have;

[tex] 30 = t + t^{2} [/tex]

Re-arranging the quadratic equation, we have;

[tex] t^{2} + t - 30 = 0 [/tex]

We would solve the quadratic equation by factorization;

[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]

[tex] t(t + 6) - 5(t + 6) = 0[/tex]

[tex] (t + 6)(t - 5) = 0 [/tex]

t = -6 or 5

Since we know time can't be negative, we would ignore the value of -6.

Therefore, time = 5 seconds

Answer:

Step-by-step explanation:

#1

#2

#1

Equation in point slope form

That's also slope intercept form

#2

Slope

Equation in point slope

Answer:

Step-by-step explanation:

[tex]Rate \ of\ change =\frac{f(6)-f(2)}{6-2}[/tex]

                         [tex]=\frac{11-(-5)}{6-2} =\frac{11+5}{4}=\frac{16}{4}=4[/tex]

Answer

72is the multiple of 9

Answer:

2ap + aq - bq -2bp = (a - b)(2p + q)

Step-by-step explanation:

(2ap + aq) - (bq -2bp)

a(2p +q) -b(q + 2p)    [ taking a common from the first, and b from the second]

(2p + q) [a - b]           [takin (2p + q)]

(2p + q)(a - b)

The completely factored form of the expression 2ap + aq - bq - 2bp is

(a - b)(2p + q).

In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.

Given expression: 2ap + aq - bq - 2bp

Step 1: Look for common factors.

Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.

Step 2: Factor out the common terms.

We can factor 'a' from the first two terms: a(2p + q)

And factor '-b' from the last two terms: -b(q + 2p)

Step 3: Rearrange the expression.

Now we have: a(2p + q) - b(q + 2p)

Step 4: Factor by grouping.

We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)

Step 5: Final result.

Thus, the completely factored form of the given expression is

(a - b)(2p + q).

To know more about Factorize here

https://brainly.com/question/14549998

#SPJ2

Answer and Step-by-step explanation:

Add together the hours, then divide the amount earned by the total amount of  hours.

3 + 5 = 8

105 ÷ 8 = $13.125 (which would round up to 13.13) [About $13.13] is earned per hour.

#teamtrees #PAW (Plant And Water)

Answer:

1.5

Step-by-step explanation:

.25*0+1*.25+2*.25+3*.25=1.5

Answer:

B. Multiply the divisor and dividend by 100.

Step-by-step explanation:

Multiply by 100 to get rid of the decimal

Answer:

B. Multiply the divisor and the dividend by 100

Step-by-step explanation:

i did the question on a test

Answer:

Its 9.

Step-by-step explanation:

First you do the math inside the parenthesis (13), then your gonna multiply 7 by the numbers you got in the parenthesis (7*13), finally subtract 82 from 7*13 and you get your answer, 9.

( 10+3)-82= -69

13- 82 =69

Answer:

Last option (1/2)^3 = .125

Step-by-step explanation:

1/2 (1.035)^5 =0.579637

(2/3)^2 = 4/9 = .4444

.2^2/.3^2 = 0.04/0.09 = .44444

(1/2)^3 = 1/8 = .125

So we can clearly see the last one as the answer

Answer:

- 3x = 21

Step-by-step explanation:

- 3x - 5 = 16

- 3x - 5 + 5 = 16 + 5

- 3x = 21

- 3x ÷ - 3 = 21 ÷ - 3

x = - 7

Answer:

x=3

Step-by-step explanation:

2 triangles are proportional so we have

4/6=x/4,5

--> x=(4.4,5)/6=3

You can also use sin cos but this way is faster

Answer:

15

hope this helps

have a good day :)

Step-by-step explanation:

9/15 and 2/15 just

the mutiples of 5=5, 10, 15, 20

the multiples of 15=15, 30, 45, 60

so the common denominator is 15 so multiple 5 and 3 to get the denominator is 15 and the numerator of 9

Answer:

15.

Step-by-step explanation:

LCD: THE SMALLEST MULTIPLE TWO OR MORE DENOMINATORS HAVE IN COMMON.

An easy way to find the least common denominator (LCD), is by listing the multiples of the denominators and circling the smallest multiple that both denominators have in common.

SOLVE:

[tex]5: 5, 10, 15, 20, 25, 30, 35, 40.[/tex]

[tex]15, 15, 30, 45, 60, 75, 90, 105, 120.[/tex]

The smallest multiply both numbers have in common is 15.

I, Therefore, believe the LCD for 3/5 and 2/5 is 15.

Answer:

31(given degree) + a(unknown degree) = 90 degrees(right angle shown is equal to 90 degrees)

31 + a = 90

-31        -31

A = 59 degrees.

Answer:

- 10

Step-by-step explanation:

-6+8×5÷-10

-6+40÷-10

-6-4

-10

Answer and Step-by-step explanation:

According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),

First we multiply, then divide, then finally add/subtract.

-8 times 5 is -40.

-40 divided by -10 is 4.

-6 - 4 = -10

The answer to the expression is -10.

#teamtrees #PAW (Plant And Water)

Answer:

a. .0554

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability of success is .06.

This means that [tex]p = 0.06[/tex]

What is the probability of two successes in seven trials?

This is P(X = 2) when n = 7. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{7,2}.(0.06)^{2}.(0.94)^{5} = 0.054[/tex]

The correct answer is given by option a.

Answer:

The correct answer is B.

Step-by-step explanation:

The area of the closest answer is 30 since the actual area is 28 square inches.

Answer:

-5

4

Step-by-step explanation:

x + x² = 20

x² + x - 20 = 0

Factor

(x + 5)(x - 4) = 0

x = {-5, 4}

-5 + 25 = 20

4 + 16 = 20

Answer:

0.333

Step-by-step explanation:

2^4-6(6)+3(6)÷2×3

=16-36+18÷6

=-2÷6=0.333

Answer:

d.

the plant is 7mm,then times 2 of itself by on week.

so in 4weeks, it will be .

7×2×2×2×2

Answer:

its B beacause i checked multiple times

Answer:

3/5

Step-by-step explanation:

We calculate the value of cos for an angle by dividing the adjacent angle to hypotenuse so the option with 3/5 (simplified fraction of 18/30) is the correct answer.

17 and 4, the two y values, are in the wrong place and should be swapped

Answer:

4.

[tex]x=8\sqrt{3}[/tex]

[tex]y=16[/tex]

5.

[tex]x=3[/tex]

[tex]y=3\sqrt{3}[/tex]

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

[tex]a-a\sqrt{3}-2a[/tex]

Where (a) is the side opposite the (30) degree angle, ([tex]a\sqrt{3}[/tex]) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ([tex]\sqrt{3}[/tex]). Thus the following statement can be made,

[tex]x=8\sqrt{3}[/tex]

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

[tex]y=16[/tex]

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

[tex]y=3\sqrt{3}[/tex]

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

[tex]x=3[/tex]

It Is My Work From My Laptop

Answer:

[tex]x = \frac{205}{3}[/tex]

[tex]y =\frac{195}{4}[/tex]

Step-by-step explanation:

Given

[tex]p = 410[/tex] --- perimeter

See attachment for fence

Required

x and y

The perimeter of the fence is:

[tex]p = 2(x + y +5 + y) +x[/tex]

Open bracket

[tex]p = 2x + 2y +10 + 2y +x[/tex]

Collect like terms

[tex]p = 2x+x + 2y + 2y+10[/tex]

[tex]p = 3x + 4y+10[/tex]

Substitute: [tex]p = 410[/tex]

[tex]3x + 4y+10 =410[/tex]

Make 4y the subject

[tex]4y =410-10-3x[/tex]

[tex]4y =400-3x[/tex]

Make y the subject

[tex]y =\frac{400-3x}{4}[/tex]

The area (A) of the fence is:

[tex]A = (y + y + 5) * x[/tex]

[tex]A = (2y + 5) * x[/tex]

Substitute: [tex]y =\frac{400-3x}{4}[/tex]

[tex]A = (2*\frac{400-3x}{4} + 5) * x[/tex]

[tex]A = (\frac{400-3x}{2} + 5) * x[/tex]

Take LCM

[tex]A = (\frac{400-3x+10}{2}) * x[/tex]

Solve like terms

[tex]A = (\frac{410-3x}{2}) * x[/tex]

Open bracket

[tex]A = \frac{410x-3x^2}{2}[/tex]

Remove fraction

[tex]A = 205x-1.5x^2[/tex]

Differentiate both sides

[tex]A' = 205 - 3x[/tex]

To maximize; set [tex]A' =0[/tex]

[tex]205 - 3x =0[/tex]

Solve for 3x

[tex]3x = 205[/tex]

Solve for x

[tex]x = \frac{205}{3}[/tex]

Recall that: [tex]y =\frac{400-3x}{4}[/tex]

So, we have:

[tex]y =\frac{400-3*205/3}{4}[/tex]

[tex]y =\frac{400-205}{4}[/tex]

[tex]y =\frac{195}{4}[/tex]

Answer:

A: $100 + $70h = Cost

B: $590

Step-by-step explanation:

A: you can combine the use rate and the driver rate together since they both have the save variable.

B: $100 + $70 (7) = Cost

$100 + $490 = Cost

$590 = Cost

Answer:

482

Step-by-step explanation:

4 is the square of 2 and 2*4 = 8.

Answer:

Mariam went to the store 5 times, while Sana went 3 times.

Step-by-step explanation:

Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:

To know how many times Mariam went and how many times Sana went to the store, since she spends Rs. 30 and the other Rs. 50, and they have spent the same after a few weeks, it is through the search for the lower common multiple of both numbers.

Thus, the common multiple less than 30 and 50 is 150 (30 x 5 or 50 x 3). Therefore, Mariam went to the store 5 times, while Sana went 3 times.