Expand and simplify 6(2x - 3) – 2(2x + 1)

Answer: x < -3/2

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

Step 2: Divide both sides by -2.

Have a great day and I hope this is right!

Answer:

158

Step-by-step explanation:

4+16 = 20

20×8-2= 158

the dot means multiply and u must first find the answer in the bracket

if there is no bracker, then u must start with multiply first

Step-by-step explanation:

4+ 16 is equal to 20

8-2 is equal to 6

20×6 is equal to 120

120 is ans

The required equation is 99 + 19 h = t  .

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

Given: Total cost = t

and the number of hours the vehicle is used = h hours

Since $99 is supposed to given that is, it is mandatory.

And $19 is supposed to be paid for per hour use.

Thus the equation is ;

99 + 19 h = t  ; where t is total cost and h is number of hours the vehicle is used

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Answer:

Yes

Step-by-step explanation:

It is true because the equation would be 1 is less than or equal to 3-(-4)

To find the derivative of the function f(x), we will use the limit definition of the derivative. The derivative of f(x) with respect to x is given by:

f'(x) = lim(h→0) [f(x+h) - f(x)] / h

Let's substitute the given function f(x) = -21x²/24 + 5 into the derivative formula:f'(x) = lim(h→0) [-21(x+h)²/24 + 5 - (-21x²/24 + 5)] / h

Simplifying further:

f'(x) = lim(h→0) [-21(x² + 2hx + h²)/24 + 5 + 21x²/24 - 5] / h

f'(x) = lim(h→0) [-21x² - 42hx - 21h² + 21x²] / (24h)

f'(x) = lim(h→0) [-42hx - 21h²] / (24h)

Now, we can cancel out the common factor of h:

f'(x) = lim(h→0) (-42x - 21h) / 24

Taking the limit as h approaches 0, we can evaluate the expression:

f'(x) = (-42x - 0) / 24

f'(x) = -42x / 24

Simplifying the expression:

f'(x) = -7x / 4

Therefore, the derivative of the function f(x) = -21x²/24 + 5 is f'(x) = -7x/4.

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Answer:

you could do like 110 length and 80 wide and that will give you a perimeter of 380 which is the same and a area of 8800 which is 400 higher than the original area

After answering the given query, we can state that equation of Bentley spent 1 hour and 15 minutes working on his math assignment as a result.

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of the two equations is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between two phrases that . on opposite sides of a letter. Frequently, the logo along with the particular program are identical. as in 2x - 4 = 2, for example.

Bentley spent how much time working on his math homework depends on the beginning and ending times.

Time spent working equals starting time minus starting time.

5:45 pm - 4:30 pm equals one hour and fifteen minutes.

Bentley spent 1 hour and 15 minutes working on his math assignment as a result.

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The positions through which the equation of f^-1(x) travels are: (4, 1), (6, 4)

A mathematical statement called an equation is comprised of two expressions joined together with the equal sign.

A formula would just be 3x - 5 = 16, for instance.

When this equation is solved, we observe that the value of the variable x is 7.

So, (1, 4) and (4, 6) are points through which the equation of f(x) goes.

If the f (x) equation contains (x, y).

Therefore, the f^-1(x) equation is as follows: (y, x).

Here, the f (x) equation passes through the following points: (1, 4) and (4, 6).

So, (4, 1) and (6, 4) are the points through which the equation of f^-1(x)  goes through.

Therefore, the positions through which the equation of f^-1(x) travels are:

(4, 1), (6, 4)

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Correct question:
If the equation of f(x) goes through (1,4) and (4,6), what points does f^-1(x) go through?

Total number of seats that remain unsold are 168.

What is statistics?

The branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.

Let's start by defining some variables to represent the unknowns in the problem:

From the problem, we know that:

We also know that the total revenue collected is $34,650:

27x + 45y = 34650

Now we can substitute y = 0.5x from the second equation into the third equation and simplify:

27x + 45(0.5x) = 34650

27x + 22.5x = 34650

49.5x = 34650

x = 700

So there were 700 $30-seats and 350 $50-seats.

The number of sold $30-seats is 0.9(30x) = 567, and the number of sold $50-seats is 0.9(50y) = 315.

Therefore, the total number of seats sold is 882, and the number of unsold seats is:

1050 - 882 = 168

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a.

We know that there are 1000 mg in one gram then we have:

Therefore, 250 mg is equal to 0.25 g.

b.

To change the rate we need to remember that there are 24 hours in a day, then:

Therefore, the rate is 6 g/day

Any number that can be written as a fraction and in which the numerator and denominator are both integers is referred to as a rational number. In other words, p/q can be used to represent a rational number when p and q are both integers and q is 0. It will be 0.25 and 0.5.

Hence, the  rational numbers will be 0.25 and 0.5.

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Answer:

8÷2=4×4×3.14=50.2

12÷2=6×6×3.14=113

113_50.2=62.8 m2

Answer: y-5=-3(x-10)

Step-by-step explanation:

The circumference of the circle with the radius is 50.24 inches

The figure represents the given parameter

On the figure, we have the diameter (d) to be

d = 16 inches

The radius of the circle is calculated using

r = d/2

So, we have

r = 16/2

Evaluate the quotient

r = 8

The circumference of the circle is then calculated as

C = 2πr

Where π is given as

π = 3.14

So, we have

C = 2 * 3.14 * 8

Evaluate the product

C = 50.24

Evaluate the product

C = 50.24

Hence, the circumference of the circle with the radius is 50.24 inches

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Answer: 79,364 Jaguars

Step-by-step explanation:

70000

00004

09000

00060

00300

Add them all together for the answer

The required probability = P(selecting 4 components that function properly) = 5/15 = 1/3

Hence, option (c) 0.3333 is the correct answer.

Given: Among 6 electrical components, exactly one is known not to function properly. If 4 components are randomly selected, the probability that all selected components function properly needs to be determined.

Now, the probability of success can be calculated by:

P (success) = number of favourable outcomes/ total number of outcomes

The total number of ways of selecting 4 components from 6 components = 6C4 = (6 × 5 × 4 × 3) / (4 × 3 × 2 × 1) = 15

The number of ways of selecting 4 components from 5 non-faulty components = 5C4 = (5 × 4 × 3 × 2) / (4 × 3 × 2 × 1) = 5

Therefore, the required probability = P(selecting 4 components that function properly) = 5/15 = 1/3

Hence, option (c) 0.3333 is the correct answer.

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Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

Where is the equation? It's ok but still.

Step-by-step explanation:

The equivalent ratios of the given quantity of silver parts of paint to green which is 3:4 are: 6:8 and 9:12.

Equivalent ratios can be described as ratios that have the same values when compared to each other. For example, 8/16, 4/8 and 1/2 re equivalent ratios because:

8/16 = 1/2

4/8 = 1/2

Therefore, 8:16 = 4:8 = 1:2.

Given the table that shows the ratio of the number of parts silver to number of parts green as 3 parts silver to 4 parts green, the ratio is: 3:4.

This means that for 3 parts of silver paint, we would require 4 parts of green paint to give the shade of paint that is needed.

Therefore:

6/8 = 3/4

9/12 = 3/4

6/8 = 9/12 = 3/4

This implies that 6:8, 9:12 and 3:4 are all equivalent ratios.

Therefore, the ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

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Answer:

A.) \(3\sqrt[]{2}\)

Step-by-step explanation:

Edge 2020 assingment

Goodluck everybody!

∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

A number system is defined as a system of writing to express numbers.

Let us write the prime factors of 54.

54/2 = 27

When fifty four is divided by 2 we get twenty seven.

27/3=9

Twenty seven divided by three is nine.

9/3=3

So 54 = 2 × 3 × 3 × 3

we know ∛ 3 × 3 × 3 = 3

∛54 = ∛ 3 × 3 × 3×2 = 3∛2

Hence, ∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

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Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

QUESTION:

How do I shift the function a(x)=|x|+3 2 units to the right?

ANSWER:

Try Math___way I always go there for help when no one can help me here. Just type in your math question and you get instant answers and an explanation.

Step-by-step explanation:

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Answer:

m = - \(\frac{2}{3}\) , c = - \(\frac{4}{3}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )

3y = - 2x - 4 ( divide all terms by 3 )

y = - \(\frac{2}{3}\) x - \(\frac{4}{3}\) ← in slope- intercept form

with slope m = - \(\frac{2}{3}\) and y- intercept c = - \(\frac{4}{3}\)

The value of m is -2/3 and c is -4/3

What is equation of a straight line?

Any straight line's general equation is given by the notation              y = mx ₊ c, where m denotes the line's gradient(or degree of steepness), and c denotes the y-intercept(a line's intersection with the y-axis).

The linear equation y = mx ₊ c has the form: y = mx ₊ c, where x and y are the variables, and m is the line's coordinates.

The formula y = mx ₊ c allows us to obtain a result for y by entering a value for x.

Y is a dependent variable since it depends on the value of x, which means that x is an independent variable.

Solution:

Given:

2x ₊ 3y ₊ 4 = 0

To Find:

m = slope of the equation

c = y intercept of the equation

Step-1:

The given equation is: 2x ₊ 3y ₊4 = 0

                                   3y = ₋2x ₋ 4

                                    y = ₋2x/3 ₋ 4/3 .............eq(1)

Now, it is in the form    y = mx ₊ c ....................eq(2)

Step-2:

On comparing eq(1) and eq(2) we get:

m = ₋2/3  &

c = ₋4/3

Hence we get the value for the slope of the equation as -2/3 and y-intercept of the equation as -4/3.

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Answer:

420 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

first u have PIE the expanlixe so first u walk like walk 10 steps on the right and 5 steps in the in cinter and get your answer

Answer:

12 is the correct answer

mark me brainliest

Answer:

27, 36, 45 and 54

Answer:

-3y2-8+5y2-1=

2y2-9

Step-by-step explanation:

Answer:

\(\huge{\boxed{\sf{ 2y^{2} - 9 }}}\)

Step-by-step explanation:

\(( - 3y^{2} - 8 ) - ( - 5y^{2}+ 1 )\)

While subtracting , sign of each term of the second expression changes.

⇒\(- 3y^{2} - 8 + 5y^{2} - 1\)

Combine like terms : \(-3y^{2}\) and \(5y^{2}\)

Like terms are those which have the same base.

⇒\(2y^{2} - 8 - 1\)

Remember : The negative integers are always added but posses the negative ( - ) sign.

⇒\(2y^{2} - 9\)

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The value of the function is h(-6) = -28

The equation of the function is given as:

h(x) = 5x + 2

To evaluate the function h(-6), we make use of the function h(x).

So, we substitute -6 for x in h(x) = 5x + 2

The equation becomes

h(-6) = 5(-6) + 2

Evaluate the expression

h(-6) = -28

Hence, the value of the function is h(-6) = -28

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