what id the greatest common factor shared by 24 and 54

If the expression is  10x2-18x-4.:

a. The greatest common factor of the expression 10x^2 - 18x - 4 is 2.

b. The expression 10x^2 - 18x - 4 can be factored completely as: 10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

C.  the factoring from Part B is correct.

Part A: To find the greatest common factor of the expression 10x^2 - 18x - 4, we need to find the largest factor that divides all three terms of the expression evenly. One way to do this is to factor out the greatest common factor using the distributive property.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Now, we need to factor the expression inside the parentheses further to see if we can find any additional common factors.

5x^2 - 9x - 2 can be factored using the quadratic formula, but it does not have any common factors other than 1.

Therefore, the greatest common factor of the expression 10x^2 - 18x - 4 is 2.

Part B: To factor the expression completely, we can start by using the greatest common factor of 2.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Next, we need to factor the expression 5x^2 - 9x - 2 further. We can use the factoring method of product and sum:

The product of 5 and -2 is -10, and the sum of the factors that multiply to -10 and add to -9 is -10 and 1.

So, we can write 5x^2 - 9x - 2 as:

5x^2 - 10x + x - 2

= 5x(x - 2) + 1(x - 2)

= (5x + 1)(x - 2)

Therefore, the expression 10x^2 - 18x - 4 can be factored completely as:

10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

Part C: To check our factoring from Part B, we can multiply the factors using the distributive property and simplify:

2(5x + 1)(x - 2) = 2(5x)(x) + 2(5x)(-2) + 2(1)(x) + 2(1)(-2)

= 10x^2 - 20x + 2x - 4

= 10x^2 - 18x - 4

Therefore, the factoring from Part B is correct.

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A) The compound event will have a sample size of 25.

B) The new sample size will be 36.

Any event with many sample points is referred to as a compound event. Compound events are more complex than simple events. These incidents carry the risk of additional occurrences. The probability of every potential result of a compound event is one.

A compound event is one that comprises two or more simple occurrences. In contrast to complex events, which can have a range of diverse results, simple events can only have one outcome.

Given,

Number of buttons in a container = 5

Lucas picks one button, replaces it and then picks another.

A sample size of the compound event

n = 55

n  = 25

Now, one more button is added to the container and in total there are 6 buttons. Lucas repeats the same process again and hence,

A sample size of the new compound event will be,

n = 66

n = 36

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The complete question is given below.

Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is  ___  Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____

Answer:

y = 0.5x-7

Step-by-step explanation:

First we need to find the slope so we use the formula y2 - y1 / x2 - x1 = m

The variable m will represent the slope or rate of change

-2 - (-11) / 10 - (-8) = m

Or

-2 + 11 / 10+8 = m

9/18 = m

0.5 = m

y = 0.5x+b

To find b replace the y and x variables

I will use 10 and -2

-2 = 0.5(10)+b

You should come out with -7 = b

Answer:3(7n+6)(3\(n^{2}\)-5)

Step-by-step explanation:

Answer:

1. No x-intercept/Zero

2. x = 3/4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

(2+2)x(7+4-5)

4x(11-5)

4x6

24

Answer:

24

Step-by-step explanation:

To solve this problem, we simply plug in the given values of x and y and then simplify using the order of operations.

(y + 2) * (x + 4 - 5)

==> plug in x = 7 and y = 2

(2 + 2) * (7 + 4 - 5)

==> simplify operations in parenthesis

4 * 6

==> multiply 4 and 6

= 24

Answer:

125000

Step-by-step explanation:

The astronaut swings the hammer in one direction, an equal and opposite force acts on the astronaut in the opposite direction.    

The astronaut swings the hammer to hammer the loose rivet back in place outside the spaceship, they will experience an equal and opposite force known as "reaction force" as described by Newton's Third Law of Motion.

This means that for every action (force) in one direction, there is an equal and opposite reaction (force) in the opposite direction.

The astronaut swings the hammer, they will experience a small amount of recoil or pushback in the opposite direction.

The magnitude of the reaction force will be equal to the force exerted by the hammer on the rivet, but in the opposite direction.

The effect of this recoil on the astronaut will depend on the mass of the astronaut and the force exerted by the hammer.

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Answer:

101.96

Step-by-step explanation:

A=bh=14.2·7.18≈101.956

-hope it helps

Answer:

A = 101.956 cm^2

Step-by-step explanation:

A = bh

A = 14.2 x 7.18

A = 101.956 cm^2

Answer:

speed of boat is 12 miles per hour and the speed of current is 9 miles per hour

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Given :-

And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.

Sequence :-

\(:\implies\) -5 , -14 , -23

Common difference :-

\(:\implies\) CD = -14 -(-5) = -14+5=-9

\(:\implies\) CD = -23-(-14) = -23+14=-9

Hence the common difference is (-9) .

Answer:

3x the answer with 3x

3x

Answer:

Mark can travel 93.97 miles in 1 hour

Step-by-step explanation:

Mark's rate of travel is 42 m / sec.  We want the same quantity in mi / hr.

Multiply 42 m / sec by the conversion factor

1 mile

----------------

1609.34 m

obtaining the following result in miles / sec:

42 m         1 mile

---------- * ------------------ = 0.0261 mi/sec

  sec        1609.34 m

Finanally, multiply the above result by the conversion factor  3600 sec / 1 hr:

(0.0261 mi/sec)(3600 sec / hr) = 93.97 miles

Mark can travel 93.97 miles in 1 hour

Answer:

Step-by-step explanation:

miles = 42 m / sec * 3600 sec / 1 hour * 1 mile / 1609.34 meters

miles = (42 * 3600 * 1 ) / (1 * 1609.34)

miles = 151200 / 1609.34

miles = 93.95

Answer:

9\(\frac{3}{8} \)

Step-by-step explanation:

Answer:

44 hours

Step-by-step explanation:

15.75 = 1 hour

693/15.75= she worked 44 hours

please give me a brainliest!!

Answer:

Sophia read 32 books and her brother read 8

Step-by-step explanation:

Represent Sophia as 4x and her brother as x

4x + x = 40

5x = 40

x = 8

Therefore, her brother read 8 books and Sophia read 32 books

Answer:

-0.8

Step-by-step explanation:

We can change -1/4 to -0.25. Now, we just multiply and get -0.8

Hope this helped you! I would appreciate a Brainliest if this helped you! Thank you and have a good day!

Answer:

40 + 2r

Step-by-step explanation:

Well an hour has 60 minutes.

So 60 x 1/30 = 60/30 = 2 minutes for each person that didn't get into the job

60 x 1/3 = 60/3 = 20 minutes for the people that made it into the job.

20 x 2 = 40 minutes in total for the people that made it into the job.

We don't know how much people got rejected so:

The answer is

40 + 2r

Answer: 47.15 miles.

Bob drove 47.15 miles.

To find how much Bob drove simply divide the total distance 188.60 miles by 4.

188.60/4 = 47.15

Answer:

9/14 (9 over 14)

Step-by-step explanation:

According to the Triangle Inequality Theorem, the sum of the lengths of two sides of a triangle is greater than the length of the third side of the triangle.

In this case, you know the lengths of two sides of the triangle, and you also know that "x" represents the length of the third side. Then, you can set up the following:

Solving the inequality, you get:

You can rewrite it as:

Hence, the answer is:

Answer:

I am not 100%

#1 = C,D,E

#2 = 1/2

For given linear equation x will be 5.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

As given linear equation is

15-x=10

x=15-10

x=5

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An integral calculator with steps is a tool that allows you to compute integrals of functions and provides a step-by-step solution to the problem.

This type of calculator is especially useful for students learning calculus, as it allows them to see how the integral is computed and helps them to understand the underlying concepts and techniques.

To use an integral calculator with steps, you typically enter the function you want to integrate and the limits of integration. The calculator then applies a variety of techniques to compute the integral, such as substitution, integration by parts, partial fractions, or trigonometric substitutions.

The output of the calculator usually includes the solution to the integral, as well as a detailed explanation of the steps involved in the computation. Some calculators may also provide graphs of the function and the area under the curve.

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Answer:

Decrease by 2 and 3

Then on x increase by 2 and 3

Step-by-step explanation: