what is the product of (a + 3)(a - 2)

Answer:

b² - 7b - 18

Step-by-step explanation:

To multiply the factors.

Each term in the second factor is multiplied by each term in the first factor, that is

b(b - 9) + 2(b - 9) ← distribute both parenthesis

= b² - 9b + 2b - 18 ← collect like terms

= b² - 7b - 18

Answer:

See below...

Step-by-step explanation:

Theoretical probability is the probability that something should happen based on the beginning conditions.  Such as having a jar of 30 marbles with 5 being blue.  The probability of pulling out a blue marble when selecting 1 marble is

5/30, or 1/6.  Theoretically you should pull one blue marble out every 6 times you pull a marble out.  

This isn't guaranteed to happen though, that's where experimental probability comes form.

Experimental probability is the number of desired outcomes achieved, divided by the total number of outcomes.  This is based on what actually happened.  Say you selected a marble, and put it back 10 times, recording the color each time and you got 2 blue marbles.  Your experimental probability is

2/10, or 1/5, which doesn't match the theoretical probability.  The more times this experiment is conducted, the closer your result will be to the theoretical probability

Answer:

Step-by-step explanation:

[tex]14m-13m=17\\\\(14-13)m=17\\\\1m=17\to\boxed{m=17}[/tex]

[tex]\bold{Hey\ there!}\\ \bold{Simplify\ both\sides\ of\ your \ equation} \\ \bold{Like\downarrow} \\ \bold{14m-13m=17} \\ \bullet{\bold{14m+(-13m)=17}} \\ \\ \\ \bold{Combine\ your\ terms}\\ \bold{Like\downarrow}\\ \bold{14m \ \& -13m} \\ \\ \bold{14m+(-13m)=1} \\ \bold{1=17} \\ \\ \bold{1\times17=17}[/tex]

[tex]\boxed{\boxed{\bold{Answer:m=17}}}\checkmark \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Final answer:

This story problem involves calculating the sales and remaining stock of 40 apples and 17 pears at Ms. Adams' farmer's market stand, applying basic arithmetic operations in a real-life scenario.

Explanation:

Imagine a local farmer's market where Ms. Adams has a stand selling fruits. This particular Saturday, she starts with 40 apples and 17 pears. Throughout the day, customers buy apples and pears at different rates. By midday, half of the apples were sold. An hour later, five customers each bought 2 pears. By the end of the day, Ms. Adams noticed she sold twice as many apples as pears.

Your task is to use this story to calculate:

This problem helps students practice basic subtraction, division, and multiplication within a real-world context, applying arithmetic operations to solve a practical problem.

Answer:

15.8

Step-by-step explanation:

Rounding to the nearest tenths means we are focusing on the number 7 and the number after it- 5. Because it is a 5, we will round the number 7, one higher. If it were to be a 4, it would stay a 7.

Answer:

15.8 is the Answer

Step-by-step explanation:

1) 5 in the hundreds place will be turn to 6 due to the fact that in can round up because a 5 is in the thousandth place.

2) Since 6 is 5 and greater than 5 it will round up 7 in the tenths place to 8.

hopes this helps.

Answer:

[tex]\large\boxed{\dfrac{f(3)}{g(2)}=\dfrac{7}{8}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+1,\ g(x)=3x+2[/tex]

[tex]f(3)\to\text{put x = 3 to the equation of}\ f(x):\\\\f(3)=2(3)+1=6+1=7[/tex]

[tex]g(2)\to\trext{put x = 2 to the equation of}\ g(x):\\\\g(2)=3(2)+2=6+2=8[/tex]

[tex]\dfrac{f(3)}{g(2)}=\dfrac{7}{8}[/tex]

Answer:

it is the subtraction property of equality

Answer:

-3

Step-by-step explanation:

The given expression is:

[tex]\frac{\frac{a-3}{7} }{\frac{3-a}{21} }[/tex]

We can rewrite this as:

[tex]\frac{a-3}{7}\div \frac{3-a}{21}[/tex]

[tex]\frac{a-3}{7}\times \frac{21}{3-a}[/tex]

Factor -1 out of the first numerator:

[tex]\frac{-(3-a)}{7}\times \frac{21}{3-a}[/tex]

Cancel out the common factors;

[tex]\frac{-1}{1}\times \frac{3}{1}=-3[/tex]

Answer:

-3

Step-by-step explanation:

that's just the way it be.

For this case we have that the law of cosine is given by:

[tex]c ^ 2 = a ^ 2 + b ^ 2-2 (a) (b) * cos (x)[/tex]

Where:

[tex]c = 12 \ ft\\a = 8 \ ft\\b = 9 \ ft[/tex]

We replace:

[tex]12 ^ 2 = 8 ^ 2 + 9 ^ 2-2 (8) (9) * cos (x)\\144 = 64 + 81-144 * cos (x)\\144 = 145-144 * cos (x)\\-1 = -144cos (x)\\cos (x) = \frac {1} {144}\\x = cos ^ {- 1} (\frac {1} {144})\\x = 89.60 \ degrees[/tex]

Answer:

Option B

Answer:

64

Step-by-step explanation:

20 + 20=40

12 +12 = 24

24+40=64

Answer:

Perimeter = 64ft

Step-by-step explanation:

Perimeter is the sum of the sides i.e.  length and width

Perimeter = 20+20+12+12 = 64

22.26 x 10^7 is the correct answer

Multiply the decimal numbers:

5.3 x 4.2 = 22.26

When multiplying scientific numbers, add the exponents together: 4+3 = 7

So you now have 22.26 x 10^7

Now you need to convert 22.26 to a scientific number, by only having one number to the left of the decimal point.

You need to move the decimal 1 place to the left, which means you need to add 1 more to the exponent.

The final answer would be 2.226 x 10^8

[tex] {x}^{3} + 7 {x}^{2} + 10x \\ = x( {x}^{2} + 7x + 10) \\ = x( {x}^{2} + 5x + 2x + 10) \\ = x(x + 5)(x + 2)[/tex]

your answer is x(x+2)(x+5)

x3+7x2+10x

x3+7x2+10x

=x(x+2)(x+5)

ANSWER

A

[tex]( - \infty , + \infty )

[/tex]

EXPLANATION.

The given function is

[tex]f(x) = 2 {x}^{3} + 21[/tex]

Let

[tex]y= 2 {x}^{3} + 21[/tex]

Solve for x.

[tex]2 {x}^{3} = y - 21[/tex]

[tex] {x}^{3} = \frac{1}{2} y - \frac{21}{2} [/tex]

Take cubic root of both sides,

[tex]x = \sqrt[3]{ \frac{1}{2} y - \frac{21}{2} } [/tex]

x is defined for all real values of y.

The range refers to the values of y, for which x is defined.

Hence the range is all real numbers.

In interval notation, we write this as,

[tex]( - \infty , + \infty )

[/tex]

The correct choice is A.

Answer:

Yes it’s A

Step-by-step explanation:

Answer:

2W=9

Step-by-step explanation:

You must first get the Length, which is 15, and multiply it by 2 and you get 30. You then subtract 30 from 48 and get 18. Since the equation has 2W, you have to divide 18 by 2, which gets you the answer 9.

Answer:

width = 9 feet

Step-by-step explanation:

Here we are given that total length of the wood for the garden is 48 feet only.

The length in represented in the equation given below. In geometry we call it Perimeter.

2l+2w=48

Where l is the length of the garden and the w is width of the garden.

Here also given that , if Manny wants the length to be 15 feet, what will be width of the garden.

In order to find this we put the value of l as 15  in 2l+2w=48 and solve for w

Let us see how

2l+2w=48

2(15)+2w=48

30+2w=48

subtracting 30 from both sides

30+2w-30=48-30

2w=18

Dividing both sides by 2 we get

w=9

Hence the width will be 9 feet

Answer:

16 to 20 spells

Step-by-step explanation:

4 to 5 spells and you find how much you need to multiply it by and in this case it is 4. Take the 4 and multiply it to 5 and 4 and you will get your answer.

Answer:

25

Step-by-step explanation:

Luna casts 4/5 of the amount of spells that Ginny casts (busy witches), so you take 1/4 of 20 and add it to 20. In other words, add 20 + 5

The cost of each song is $1.25.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Amelia used a $50 gift card to buy digital music online after playing for 16 songs her balance on the gift card was $30.

So, the cost of 16 song is 50-30=$20

Now, the cost of each song = 20/16

= 5/4

= $1.25

Therefore, the price of each song is $1.25.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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Answer:

34 inches

Step-by-step explanation:

Area is base times height time half

Then plug in the values: 136= 0.5 x 8x

Then solve for x

Answer:

4

Step-by-step explanation:

If it look like tihs for your shape it will be 4

The average distance from the sun to Mars can be found by setting up an equation based on the given information. Subtracting 550 from the average distance to Jupiter gives the average distance to Mars, which is 228 million km.

We know that the average distance from the sun to Jupiter is 778 million km, which is 550 million km more than the distance from the sun to Mars. We could express it in the form of an equation and solve to find the average distance that Mars is from the sun. Let's denote that Mars is 'x' million km from the sun. Then we can write it as:

x + 550 = 778

To find x, we need to subtract 550 from both sides of the equation, which gives us:

x = 778 - 550

And so, the distance from the sun to Mars is x = 228 million km.

https://brainly.com/question/29050831

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Answer:

2160 cm³

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula

V = lbh ( l is length, b is breadth, h is height )

here l = 18, b = 10 and h = 12, hence

V = 18 × 10 × 12 = 2160 cm³

Volume = l × b × h

= 18 × 10 × 12

= 2160cm³

Answer:

2.618 in Degrees Celsius is 36.7124 Degrees Fahrenheit. 2.618 in Degrees Fahrenheit is -16.323333 Degrees Celsius.

Answer:

64 oz. were consumed and 16 oz. were left.

Step-by-step explanation:

8*10 = 80 oz. of juice total.

10-2=8 boxes consumed

8*8(number of oz. per box)=64 oz. consumed

2*8=16 oz. left

64+16=80 checks out.

Answer:

x = 5

How?:

15 - 3(5) = 0

15 - (3 × 5) = 0

15 - 15 = 0

Answer:

The answer is

g(x) = (x-3)^3

Step-by-step explanation:

We can easily solve this problem by plotting each equation with a graphing tool or calculator.

Please see attached graph

The correct answer is

g(x) = (x-3)^3

Answer:

C

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

It is impossible to get blue cards. Then the correct option is C.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

There are 4 red cards and 8 black cards in a bag.

In the bag, the number of blue cards will be zero.  

Thus, it is impossible to get blue cards. Then the correct option is C.

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

A rectangle.

Step-by-step explanation:

To graph the points find their pairs on a graph and leave a mark in so area. Eventually, it'll reveal the shape.

Hope this helps,

Davinia.

Since the scuba diver jumps into the water and decreases his altitude by 5.6 meters in one minute, the equation that can be used to represent the divers altitude is [tex]y = -5x + 1.3[/tex]

The standard equation is [tex]y = mx + b[/tex]

y,x = variables

m = rate of change

b = initial value of y.

y = the height of the scuba driver after x minutes.

Given that b = 1.3

m = -5.6(decrease in altitude)

Then the equation can be written as ; [tex]y = -5x + 1.3[/tex]

hence scuba driver height is given by the equation [tex]y = -5x + 1.3[/tex]

Learn more about altitude at;

https://brainly.com/question/1159693

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missing options;

A.

1.3 + 5.6

= 6.9

B.

-1.3 + 5.6

= 4.3

>

O

C. 1.3+(-5.6) = – 4.3

>

O

D. -1.3+(-5.6) = -6.9

The equation that represents the scuba diver's altitude after jumping into the water is y = 1.3 - 5.6t, where y is in meters and t is in minutes.

Let y represent the diver's altitude in meters relative to sea level after t minutes. Initially, at sea level, we have y(0) = 1.3. Due to the descent in water, the altitude decreases by 5.6 meters per minute, which means the altitude change per minute can be represented by
-5.6t. Thus, the equation that can be used to represent the diver's altitude as a function of time is:

y = 1.3 - 5.6t

where y is in meters and t is in minutes.

Answer:

4 goals short

Step-by-step explanation:

To find how many shots Talia made - multiply the total number of shots (35) by 60% (or 0.60)

    35*.60 = 21 shots made

Subtract her goal (25) by the shots actually made (21)

    25-21 = 4 shots from her goal

Answer:41/8 - 1/3= 115/24

Step-by-step explanation:

Answer:

The amount he will have at the end of 3 years is $3742.73

Step-by-step explanation:

* The formula for annual compound interest is:

A = P (1 + r/n)^(nt)

Where:

A = Total money after t years

P = the investment amount (the initial deposited amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the number of years the money is invested

∵ P = $2860 ⇒ deposited

∵ r = 9% = 9/100 = 0.09 ⇒ annual rate

∵ n = 12 ⇒ compounded monthly

∵ t = 3 years

∴ A = 2860(1 + 0.09/12)^(12 × 3)

∴ A = 2860(1.0075)^36 = $3742.73

* The amount he will have at the end of 3 years is $3742.73

Answer:

The amount he will have at the end of 3 years = $3742

Step-by-step explanation:

Formula for compound interest

A = P[1 + R/n]^nt

A - Amount

P - Principle amount

R - rate of interest

n - Number of times in which the amount compounded

t - Number of years

To find the amount

Here,

P = $2,860, R = 9% = 0.09

n = 12 and t = 3 years

A = P[1 + R/n]^nt

 =2860[1 + 0.09/12]^(12*3)

 = 2860[1 + 0.0075]^36 = 3742.7257 ≈ $3742

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❖ 9% of 600 = 54

9/100 * 600 = 54

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

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9% out of 500

0.09* 500 = 45

45