(02.02 MC) A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice Does a possible solution of (12.36) make sense for this function? Explain your answer.​

Answer:

1.) 3/4

2.) 44/5 or 8 4/5

3.) 17/6 or 2 5/6

Step-by-step explanation:

1.) 5/16 ÷ 5/12

To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:

5/16 × 12/5

5 × 12 / 16 × 5

Cancel out 5 since both numerator and denominator has it:

12 / 16

Divide both by 4:

12 ÷ 4 / 16 ÷ 4

3/4

2.) 3 1/5 • 2 3/4

You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:

3 1/5 = 3×5 + 1 = 16/5

2 3/4 = 2 × 4 + 3 = 11/4

Now you can multiply the numerator to numerator then denominator to denominator:

Since 16 is a factor of 4, you can cancel it out, which leaves 4:

16 / 5 × 11/4

4 × 11 / 5 × 1

44/ 5

3.) 6 3/8 ÷ 2 1/4

Convert to improper fraction:

6 3/8 = 6× 8 + 3 = 51/8

2 1/4 = 4 × 2 + 1 = 9/4

(51 × 4)/ (9×8)

51 × 1/ 9× 2

51 / 18

Divide by 3:

17/6

Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 385 by 6 and keep only what is to the left of the decimal point:

385 / 6 = 64.1667 = 64

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

385 - (6 x 64) = 1

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 385/6 as a mixed number is:

64 1

     ___

       6

Step-by-step explanation:

Answer:

0.59

Step-by-step explanation:

Given that :

Probability of taking bus 1

P(b1) = 90% = 0.9

What is the probability that she will take bus 1 on all five days?

Five days from Monday to friday:

On Monday : p(b1) = 0.9

On Tuesday : p(b1) = 0.9

On Wednesday : p(b1) = 0.9

On Thursday : p(b1) = 0.9

On Friday : p(b1) = 0.9

Here we have an independent event:

Hence, probability of taking bus 1 on all five days :

(0.9 * 0.9 * 0.9 * 0.9 * 0.9)

= 0.59049

= 0.59

Answer:

9

Step-by-step explanation:

f(x)=2x+3

f(3) = 2(3) + 3

= 6 + 3 = 9

option D is the correct answer

Step-by-step explanation:

-15+16 (as - - = +)

1

it will be positive as 16 is greater then 15 and have positive charge

Answer:

1

Step-by-step explanation:

(-15)-(-16) =

(-15)+16 =

1

Step-by-step explanation:

Quadratic Equation

Quadratic equation is in the form

ax2+bx+c=0

Where

a, b, & c = real-number constants

a & b = numerical coefficient or simply coefficients

a = coefficient of x2

b = coefficient of x

c = constant term or simply constant

a cannot be equal to zero while either b or c can be zero

Examples of Quadratic Equation

Some quadratic equation may not look like the one above. The general appearance of quadratic equation is a second degree curve so that the degree power of one variable is twice of another variable. Below are examples of equations that can be considered as quadratic.

1. 3x2+2x−8=0

2. x2−9=0

3. 2x2+5x=0

4. sin2θ−2sinθ−1=0

5. x−5x−−√+6=0

6. 10x1/3+x1/6−2=0

7. 2lnx−−−√−5lnx−−−√4−7=0

For us to see that the above examples can be treated as quadratic equation, we take example no. 6 above, 10x1/3 + x1/6 - 2 = 0. Let x1/6 = z, thus, x1/3 = z2. The equation can now be written in the form 10z2 + z - 2 = 0, which shows clearly to be quadratic equation.

Roots of a Quadratic Equation

The equation ax2 + bx + c = 0 can be factored into the form

(x−x1)(x−x2)=0

Where x1 and x2 are the roots of ax2 + bx + c = 0.

Quadratic Formula

For the quadratic equation ax2 + bx + c = 0,

x=−b±b2−4ac−−−−−−−√2a

See the derivation of quadratic formula here.

The quantity b2 - 4ac inside the radical is called discriminat.

• If b2 - 4ac = 0, the roots are real and equal.

• If b2 - 4ac > 0, the roots are real and unequal.

• If b2 - 4ac < 0, the roots are imaginary.

Sum and Product of Roots

If the roots of the quadratic equation ax2 + bx + c

= 0 are x1 and x2, then

Sum of roots

x1+x2=−ba

Product of roots

x1x2=ca

You may see the derivation of formulas for sum and product of roots here.

Answer:

1. false

2. true

3. false

4. true

Step-by-step explanation:

4. 1/9 rational + 2 irrational= 8 irrational

Step-by-step explanation:

1)4+9 = 13

2)9+16 = 25

3)4+16 = 18

4)9+25 = 34

Answer:

i) 13    ii) 25   iii) 20     iv) 34

Step-by-step explanation:

they are all exponents of 2 so you multiply each number by itself once.

i) 2x2 +  3x3

ii) 3x3 + 4x4

iii) 2x2 + 4x4

iv) 3x3 + 5x5

(next time you can use a calculator lol)

This is very true for a function that is continuous.

Answer:

r ≤ -5 and r ≥ 1

Step-by-step explanation:

The solution has two parts:

1) that derived from | 2 +r | ≥ 3 when (2 + r) is already positive.  Then:

                   2 + r ≥ 3, or r ≥ 1

and

that derived from | 2 +r | ≥ 3 when (2 + r) is negative.  If (2 + r) is negative, then

|(2 + r)| = -(2 + r) = -2 -r, which is ≥ 3.  Therefore, -2 -r ≥ 3, or -r ≥ 5.  To solve this for r, divide both sides by -1 and reverse the direction of the inequality sign:  r ≤ -5

Answer: See explanation

Step-by-step explanation:

1. Cost = $413

Sales percent = 6.5%

Cost of bike = $413 + (6.5% × $413)

= $413 + (0.065 × $413)

= $413 + $26.845

= $439.85

2. Cost of dishwasher = $569

Commission rate = 18%

The expression for the commission will be:

= 18% × $569

= 18/100 × $569

= 0.18($569)

Answer:

D

Step-by-step explanation:

Answer:

A. 0.008

I hope this helps!

Answer:

A. 0.008

Step-by-step explanation:

Product mean you multiply, so you multiply 0.04 and 0.2 and you get 0.008

0.04 x 0.2 = 0.008

Answer:

14 dallers

Step-by-step explanation:

Answer:

Given f(x)=32

So we can substitute 32 in place of 'x'

So, f(x)=3x-1

=    f(x)=3(32)-1

=    f(x)=96-1

=    f(x)=95

f(x)=3x-1 = 95

Answer:

$17.15

Step-by-step explanation:

Answer:

17.15

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

The value of x in the given figure is y = 110. Hence option 3 is true.

Given that,

A triangle is shown in the image.

Apply the concept of the triangle that states,

The sum of two opposite interior angles in a triangle is equal to the measure of the exterior angle.

Hence we get;

y° + 20° = 130°

Subtract both sides by 20,

y = 130° - 20°°

y = 110°

Therefore, option 3 is true.

To learn more about the triangle visit;

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9 times 9=72

Step-by-step explanation:

if if the width is 9 then the length is 9 because 9 times 9 equals 72

Answer:

The length is 15

The width is 21

Step-by-step explanation:

Say the length of the rectangle is x.

Then, the width would be 2x-9.

You can use this to make the equation

x+x+2x-9+2x-9=72

6x-18=72

6x=90

x=15

2x-9=30-9=21

Therefore,

The length is 15

The width is 21

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

is there photo

Step-by-step explanation:

please post the photo

Answer:

20 hrs

Step-by-step explanation:

20 hours: The volume of the pool is (length) × (width) × (height), or 30×10×2=600 cubic meters. Use a standard work equation, RT= W, where W represents the total work of 600 m

3

.

0.5×t=600

t=1200 minutes

Convert this time to hours by dividing by 60: 1200÷60=20 hours.

Alternatively, you could convert first:  

hr

0.5m

3

​

×60min=

hr

30m

3

​

Next, use the standard work equation:

30 t = 600

t = 20 hours

The perimeter of the rectangular pool would be 90 meters and the length of the pool is 20 meters.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that the ratio of length to width of a rectangular swimming pool is 4 : 5.

Let the length of rectangular swimming pool would be 4x

And the width of rectangular swimming pool would be 5x

Since the width of the swimming pool is 25 meters.

So 5x = 25 ⇒ x = 25/5 = 5

So the length rectangular swimming pool would be 4(5) = 20 meters.

The perimeter of the pool = 2 [ length + width ]

The perimeter of the pool = 2 [ 20 + 25]

The perimeter of the pool = 2 (45)

The perimeter of the pool = 90 meters

Learn more about the Perimeter of the rectangle here:

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Given :

A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3/4 pounds the first month and 11 5/8 pounds the second month.

To Find :

How much weight must be lost the third month for the goal to be achieved.

Solution :

Let, weight lose in third month is x.

So, 8 3/4 + 11 5/8 + x = 26

[tex]\dfrac{32+3}{4}+\dfrac{88+5}{8}+x=26\\\\x = 26 - ( \dfrac{35}{4}+\dfrac{93}{8})\\\\x=5.625\ pounds[/tex]

Therefore, weight lose in third month is 5.625 pounds.

Hence, this is the required solution.

Answer:

65700000x

Step-by-step explanation:

thats the answer

Answer: 65700000

Step-by-step explanation:

65700000x

Answer:

x = -3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-3

Step-by-step explanation:

Answer:

31.7

Step-by-step explanation:

Just subtract

Answer:

a) x= 29.4

b) 43400cm³ (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

E

Step-by-step explanation:

3x is the 3 lines.

+5 is the 5 dots

= -4 is the 4 black dots

Answer:

6xy+2x+4y

Step-by-step explanation: