Evaluate each expression when a = -4 and b = 3

1.) ab
2.) 2a + 3b
2.) 2(a - b)​

Answers

Answer 1

1) -12

ab is a times b. We plug in the numbers (-4)*(3) which equals -12.

2) 1

We plug in -4 for a, and 3 for b into the equation.

We get 2(-4) + 3(3)

2*-4 is -8. 3*3 is 9. We add them both, and -8+9 equals 1.

3) -14

We plug in -4 for a, and 3 for b into the equation.

2(-4-3)

-4-3 is -7. -7*2 equals -14.


Related Questions

Coroline runs 3 1/2 miles in 22 1/4 minutes how many miles does she run per minute

Answers

Answer:

To determine the number of miles Coroline runs per minute, we need to first convert the distance she runs to a fraction of a mile and the time it takes her to run that distance to a fraction of an hour.

3 1/2 miles is equivalent to 3 + 1/2 = 3 + 1/(2*1) = 7/2 miles.

22 1/4 minutes is equivalent to 22 + 1/4 = 22 + 1/(4*1) = 23/4 minutes.

To convert the time to hours, we can divide the number of minutes by the number of minutes per hour. There are 60 minutes per hour, so we have:

23/4 minutes / (60 minutes/hour) = (23/4) / (60/4) = 23/60 hours

To determine the number of miles Coroline runs per minute, we can divide the distance she runs by the time it takes her to run that distance:

(7/2 miles) / (23/60 hours) = (7/2) / (23/60) = (760) / (223) = 420/46

Simplifying, we have:

420/46 = 9 1/23

Therefore, Coroline runs approximately 9 1/23 miles per minute.

Step-by-step explanation:

Answer:

she runs 0.078 miles  per minute.

Step-by-step explanation:

In the figure below the measure of arc AD = 110∘. What is the measure of ∠A in degrees? (4 points) 55 90 70 35

Answers

Answer:

35

Step-by-step explanation:

180 - 110 = 70

Arc DB= 70

70 / 2 = 35

5. Step 4: Convert the number into decimal form rounded to the
nearest thousandth.

6.28=

O 6.284
O 6.280
O 6.283
O 6.282

Answers

Answer: 6.280

Step-by-step explanation:

Before sending track and field athletes to the Olympics, the U. S. Holds a qualifying meet. The upper box plot shows the top 12 men's long jumpers at the U. S. Qualifying meet. The lower box plot shows the distances (in meters) achieved in the men's long jump at the 2012 Olympic games. Which pieces of information can be gathered from these box plots?

Answers

We require median, interquartile range, outliers, minimum and maximum value.

What are statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

From the upper box plot representing the top 12 men's long jumpers at the U.S. Qualifying meet, we can gather the following pieces of information:

The median (middle value) of the data is around 7.6 meters, as indicated by the line in the center of the box.

The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.4 meters, as indicated by the height of the box.

There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.

The minimum and maximum values for the data are around 7.3 meters and 8.0 meters, respectively, as indicated by the lower and upper ends of the whiskers.

From the lower box plot representing the distances achieved in the men's long jump at the 2012 Olympic games, we can gather the following pieces of information:

The median (middle value) of the data is around 8.0 meters, as indicated by the line in the center of the box.

The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.5 meters, as indicated by the height of the box.

There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.

The minimum and maximum values for the data are around 7.5 meters and 8.4 meters, respectively, as indicated by the lower and upper ends of the whiskers.

The main difference between the two box plots is the median value, which is 0.4 meters apart and the IQR for the Olympic games is slightly bigger than the Qualifying meet.

Hence, we require median, interquartile range, outliers, and minimum and maximum values.

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We require median, interquartile range, outliers, and minimum and maximum values.

What are statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

From the upper box plot representing the top 12 men's long jumpers at the U.S. Qualifying meet, we can gather the following pieces of information:

The median (middle value) of the data is around 7.6 meters, as indicated by the line in the center of the box.

The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.4 meters, as indicated by the height of the box.

There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.

The minimum and maximum values for the data are around 7.3 meters and 8.0 meters, respectively, as indicated by the lower and upper ends of the whiskers.

From the lower box plot representing the distances achieved in the men's long jump at the 2012 Olympic games, we can gather the following pieces of information:

The median (middle value) of the data is around 8.0 meters, as indicated by the line in the center of the box.

The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.5 meters, as indicated by the height of the box.

There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.

The minimum and maximum values for the data are around 7.5 meters and 8.4 meters, respectively, as indicated by the lower and upper ends of the whiskers.

The main difference between the two box plots is the median value, which is 0.4 meters apart and the IQR for the Olympic games is slightly bigger than the Qualifying meet.

Hence, we require median, interquartile range, outliers, and minimum and maximum values.

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PROBLEMA DE NUMEROS ENTEROS : Un buzo se encuentra a 4000 metros de profundidad. ¿Si desciende 2000 metros para atrapar mantarrayas, a que profundidad del nivel del mar se encuentra?

Answers

Answer:

Tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.

Step-by-step explanation:

Dado que un buzo se encuentra a 4000 metros de profundidad, si desciende 2000 metros para atrapar mantarrayas, para determinar a que profundidad del nivel del mar se encuentra se debe realizar el siguiente cálculo:

4000 - 2000 = X

6000 = X

Por lo tanto, tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.

a cylinder has a volume of 24 cubic feet, what is the equation on how to find the volume?

Answers

The equation on how to find the volume is πr²h = 24

How to determine the equation on how to find the volume?

From the question, we have the following parameters that can be used in our computation:

Volume = 24 cubic feet

The volume of a cylinder can be calculated as

Volume = πr²h

Where

r = radius

h = height

Substitute the known values in the above equation, so, we have the following representation

πr²h = 24

Hence, the equation is πr²h = 24

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A refrigerator is priced at $3,800 plus value-added tax at 15%. What amount does the refrigerator actually cost the customer?

Answers

Answer: 3800 + 15% =.....DUN DUN DUNNNN 3.800.15

Step-by-step explanation:

Help me pls I’m struggling and I can’t solve it

Answers

The perimeter of the rectangle is  4y + 6 (cm).

How can the perimeter equation be found?

All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.

The diagram shows a rectangle. All measurements are in centimetres  an expression in terms of y, for the perimeter of the rectangle.

The perimeter of the rectangle is

2(y+3)+24

=2y + 6 + 2y = 4y + 6 (cm)

{ the perimeter:

2 *  width + 2 * Length}

The perimeter of the rectangle is  4y + 6 (cm).

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A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?

Answers

There is no sufficient evidence that we can use in order to substantiate the claim of the publisher,

How to write the hypothesis

The null hypothesis H0: p = 0.47

The alternative hypothesis is H1: p > 0.47

The question requires us to test the fact that more than 47 percent of the readers have their own personal computer. This is therefore the claim that is to be tested here.

There is no sufficient evidence to substantiate the claim because of the lack of certain details that would have been used to carry out the hypothesis test.

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HELP PLEASE AND THANKYOU

Answers

Answer:

one half of a cup. it is written as a half as 1/2. :)

1/2 of a cup I think

PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!

Answers

Answer:

g(-3) = 2

Step-by-step explanation:

g(x) = |x| - 1, x < 1        You would use this equation for finding g(-3). Since -3 is less than 1.

g(x) = |x| - 1, x < 1     ← You can ignore the x<1 part.

g(-3) = |-3| - 1            Input the value -3 as x. The absolute value of x is always  g(-3) = 3 - 1               positive.

g(-3) = 2                    Simplified

Next,

g(x) = x²- 10, 1 ≤ x ≤ 3     You would use this equation for finding g(3). Since 3 is equal to 3.

g(x) = x²- 10, 1 ≤ x ≤ 3  ← You can ignore the 1 ≤ x ≤ 3 part.

g(3) = (3)²- 10                   Input the value 3 as x.

g(3) = 9 - 10                     Simplify

g(3) = - 1

Then,

g(x) = [tex]\frac{1}{6}[/tex]x, x > 3          You would use this equation for finding g(6). Since 6 is greater than 3.

g(x) = [tex]\frac{1}{6}[/tex]x, x > 3     ←   You can ignore the x > 3 part.

g(6) = [tex]\frac{1}{6}[/tex](6)                  Input the value 6 as x.

g(6) = [tex]\frac{6}{6}[/tex]                      Simplify

g(6) = 1

Answer: g(-3) = 2 results in the largest value/output.

How do you solve a linear equation step by step?

Answers

Linear equations are mathematical equations that involve one or more variables. These equations can be solved by following a few simple steps:

How to solve linear equations

Identify the constant and the coefficient of the variable.Use the coefficient to divide both sides of the equation by the same number.Subtract the constant from both sides of the equation.Divide both sides of the equation by the coefficient of the variable.Check your solution by substituting it back into the original equation.

Linear equations can be used to solve a wide range of mathematical problems and are an essential part of any mathematics curriculum.

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What does 5a+10a equal to?

Answers

Answer:

15a

Step-by-step explanation:

5a + 10a = 15a

If £22 = 500 rubles, how many £ are in 864 rubles? Give your answer to 2 dp.​

Answers

Answer:

£ 38

Step-by-step explanation:

If you take 500 divided by 22 you get 22.7272727272 or if you round 22.73

Then you take 864 divided by 22.73 and get 38.0114386274 the you round to 2 decimal places and get 38

Hope this helps

GeneralGranato777

I need some help on the "round to the next period" part. What exactly is the answer then? Thank you!

Answers

The time period it will take a principal of $25000 to grow int $28500 at a rate of 4% is approximately 3 years

What is Compound Interest

Compound interest is the interest that is calculated on the initial principal and also on the accumulated interest of previous periods. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.

In the given question, our data is;

P = 25,000r = 4% = 0.04A = 28,500n = ?x = semi-annually = 2

The formula is given as

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

The given expression is

m(n) = 25000(1 + 0.04/ 2)^2n

m(n) = 28500

28500 = 25000(1 + 0.04 / 2)^2n

Solving for n,

n = 3.3

n ≈ 3


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A system of linear equations has no solutions. One of the equations of the system is shown y=2x-1 which equation could be the other equation of the system​

Answers

Answer:

D   y = 2x + 2

Step-by-step explanation:

Set the equations equal

2x -1 = 2x + 2

Subtract 2x from both sides

-1 = 2 ... not possible

therefor no solution

there is no solution.

- Chilio

Help me please, worth 25 points

Answers

Answer:

a=17.1

Step-by-step explanation:

sin20=a/50

50sin20=a

plug into calculator

plz help ibzcbiscibscibaciv​

Answers

Answer:The answer is 2 if you use a calculator.

Step-by-step explanation:

PLS HELP :[
The graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.


A graph shows Number of Pepperoni Rolls on x-axis and Price of Pepperoni Rolls on y-axis. The x-axis scale is shown from 0 to 24 at increments of 4, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pairs 4, 20 and 8, 40 and 12, 60 and 16, 80 and 20, 100 and 24, 120.

Kaiser Roll Packet

Number of Kaiser Roll Packet

Price of Kaiser Roll Packet (dollars)

4

24

8

48

12

72

16

96

How many dollars more is the price of a Kaiser roll packet than the price of a pepperoni roll at Luis's store? (1 point)


a

$1


b

$4


c

$5


d

$6

Answers

Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that the graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.

The price of a Kaiser roll packet = {C1} = (48 - 24)/(8 - 4) = 24/4 = 6

The price of a Kaiser roll  = {C2} = (40 - 20)/(8 - 4) = 20/4 = 5

$6 - $5 = 1

Therefore, Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.

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Solve 1/2 cot(x) >= over 0 <= x <= 2pi

Answers

Answer: answer is b on edg

Step-by-step explanation:

Use the number line to find the difference of 4 1/2-8

Answers

Using the number line, the difference between 4 1/2 and 8 will come to -31/2.

What is a number line?

A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

Subtraction on a number line makes it much easier to subtract smaller values. When subtracting numbers from a number line, we must leap (move) to the left side of the number line.

Thus, moving to the left, 8 times from 4.5 will help us arrive at -3.5. See attached Number line.

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Adrian has $1 worth of nickels and dime. He has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Adrian has. Define the variables that you use to write the system.

Answers

Answer: We can use two variables, x and y, to represent the number of dimes and nickels Adrian has, respectively.

We know that Adrian has twice as many nickels as dimes, so we can write the equation:

y = 2x

We also know that the total value of the coins is $1, and since nickels and dimes have different values, we can write the equation:

0.05y + 0.1x = 1

So the system of equations is:

y = 2x

0.05y + 0.1x = 1

These equations can be solved simultaneously to find the number of nickels and dimes that Adrian has.

Step-by-step explanation:

Answer: X+ywwiww asksn q9ru3

Step-by-step explanation:

88-2

Find the value of x.
Use statement and reason format.

Answers

By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.

How to find the value of x?

Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.

Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:

2x + 90° + N = 180°

And we also can write the linear equation:

105° + 45° + N = 180°

Solving this one, we can find the value of N.

N = 180° - 45° - 105°  =30°

N = 30°

Replacing that in the equation with x we will get:

2x + 90° + 30°  =180°

2x = 180° - 90° - 30°

2x = 60°

x = 60°/2 = 30°

The value of x is 30°.

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Need answer for b)iii)

Answers

Answer:

3.23, -1.23

Step-by-step explanation:

Draw the line y=1

See where it intersects x^2-2x-3

The x coordinates of the intersections are your answer

Eddie is reading a novel for English class. He read 173 out of 480 pages. About what percent of the book has he read? Round to the nearest whole number.

Answers

Answer:

the answer would be 36.04,

Step-by-step explanation:

im gonna just leave this blank

Hello can someone help me with this please

Answers

Answer:

Below

Step-by-step explanation:

x - 6 = 12      add 6 to both sides of the equation

x - 6 + 6 = 12 + 6     simplify

x = 18

3x-1 = 11        add  1  to both sides of the equation

3x -1 + 1 = 11 + 1

3x = 12          now divide both sides by 3

3x/3 = 12 / 3   simplify

x = 4

A company has two manufacturing plants with daily production levels of 5x +14 items and 3x - 5 items, respectively. The first plant produces how many more items daily than the second​ plant?

Answers

Answer:

21x

Step-by-step explanation:

5x+14=19x

3x-5=-2x

-2x-19x=21x

Which of the following is equivalent to (X - 2) (x + 9) =0

Answers

The equivalent quadratic equation to  (x - 2)(x + 9) = 0 is x² + 7x - 18 = 0.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know if α and β are the roots of a quadratic equation ax² + bx + c = 0,

Then we can construct the equation by the factors (x - α)(x - β).

Given, We have to construct a quadratic equation with (x - 2)(x + 9) = 0.

Now, Multiply the terms we have,

x² + 9x - 2x - 18 = 0.

x² + 7x - 18 = 0.

So, Our required quadratic equation is x² + 7x - 18 = 0.

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NEED HELP ASAP
Find the approximate area of a triangle that has vertices at A(-4, 2), B(6, 4) and C(3,-1).

Answers

Answer:

I need more to the question so I can answer it

Step-by-step explanation:

find the perimeter (p) of a rectangle with a length (1) of 12m and a width (w) of 8.4m using the formula p=21+2w

Answers

Answer:

The answer is 40.8 m.

Step-by-step explanation:

To find the perimeter of the rectangle, use the formula P= 2([tex]l[/tex])+ 2([tex]w[/tex]). Plug in the information given in the question, and the equation will look like

P= 2(12m) + 2(8.4m)

Solve the equation, and the final answer will be 40.8 m.

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