-3.7+1/4 Write your answer as a decimal to the nearest hundredth.

The value of g(-3) is 15 of the function:  g(x) = 3(2-x)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Given Data

Function

g(x) = 3(2-x)

g(-3)

Equating x = -3

g(-3) = 3(2-(-3))

g(-3) = 3(2+3)

g(-3) = 3(5)

g(-3) = 15

The value of g(-3) is 15.

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20 ft/sec must she let out the string when the kite is 500 ft away from her.

What is rate?

A rate is a unique ratio where the two words are expressed in several units.

For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.

Let x = distance of girl from the point on the ground directly below the     kite at time t

y = length of string at time t

At time t, we have a right triangle with horizontal leg of length x, vertical leg of length 300, and hypotenuse of length y.

Given:  dx/dt = 25

Find:  dy/dt when y = 500

By the Pythagorean Theorem, [tex]x^2 +300^2 = y^2[/tex]

Differentiating both sides, with respect to t,

[tex](2x)\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]           ...(1)

Since, [tex]x^2 +300^2 = y^2[/tex],  y = 500,

So, x = 400

Plug these values in equation (1).

[tex]2(400)(25) = 2(500)\frac{dy}{dt}[/tex]

After solving,

[tex]\frac{dy}{dt} = 20 ft/sec[/tex]

Therefore, 20 ft/sec must she let out the string when the kite is 500 ft away from her.

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The simplest term is -49h + 70.

The equation given is:

10(-4h + 7) -9h

We have to simplify it in its simplest form:

10(-4h + 7) -9h

After removing the bracket part we have:

= -40h + 70 - 9h

Adding the similar term in the equation we have:

= -49h + 70

Therefore the simplest term of the equation is -49h + 70.

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Answer:

[tex](x+1)(x-3)=0\\x=-1,3\\\sqrt{2(-1)+3}=-1\\ \sqrt{1}=-1\\ \sqrt{2(3)+3}=3\\ \sqrt{9}=3\\[/tex]

There are no extraneous solutions

Step-by-step explanation:

To solve this equation, first we want to cancel out the radical;

[tex](\sqrt{2x+3} )^2=x^2; 2x+3=x^2[/tex]

Now that the equation looks simpler, we can slide 2x+3 to the other side to create a polynomial that we can factor;

[tex]x^2-2x-3=0\\(x+1)(x-3)=0[/tex]

You can check for extraneous solutions by plugging the answers in, which I showed above.

Answer:

9.75 marks

Step-by-step explanation:

30% of the students got 15 marks (3 questions)

40% of the students got 10 marks (2 questions)

25% of the students got 5 marks (1 question)

5% of the students got 0 marks (0 questions)

0.3(15)+0.4(10)+0.25(5)+0.05(0)/1

the one as denominator represents all students that took the test

4.5+4+1.25+0

9.75

the class average is 9.75

There is a 0.0228 percent chance of getting a sample mean this big or bigger.

Given that the sample size is 64, the sample size is 3.2, and the standard deviation is 0.8.

The likelihood of a mean of 3.4 is determined as follows:

#First determine the z-value:

[tex]z=\frac{\bar{X}-\mu}{\sigma / \sqrt{n}}$$=\frac{3.4-3.2}{0.8 / \sqrt{64}}$$=2.000$[/tex]

#We then determine the corresponding probability on the z tables:

[tex]Z(X \geq 3.4)=1-P(X < 3.4)$$=1-0.97725$$=0.0228$[/tex]

Hence, the probability of obtaining a sample mean this large or​ larger is 0.0228.

The sample mean is regularly distributed for samples of any size derived from a population with a normal distribution, with mean X= and standard deviation X=/n, where n is the sample size.

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Answer:

Remember that the slope of perpendicular lines are negative reciprocals of each other.Step-by-step explanation:y = 1 - 2x     the slope is -2     the value of the x term.So the slope of the new line using point (- 1, 2)  is  1/2.Now use y = mx + b where y = -1, x = 2, and m = 1/2 .y = mx + b-1 = 1/2(2) + b                solve for "b", the y-intersect-1 =  1 + b-2 = bThe line that is perpendicular to y = 1 - 2x  is  y = 1/2x - 2

Step-by-step explanation:

Step-by-step explanation:

t = number of trumpet players.

s = number of saxophone players.

t = s - 10

s = 3t

we use the second in the first equation

t = 3t - 10

-2t = - 10

2t = 10

t = 5

s = 3t = 3×5 = 15

there are 5 trumpet players (and 15 sax players).

about 25-26 days....

Hope this helped!!

Answer:

26

Step-by-step explanation:

(90-14)/3

= 25..1

Therefore it will take Ced 26 days to complete his goal

Answer: B) Symmetric Property of Equality

Step-by-step explanation:

symmetric property of equality is basically saying that if y = x, then x = y.

The most appropriate choice for linear inequation will be given by

Solution set = {[tex]x \epsilon \mathbb{R}, x \leq 6[/tex]}

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]>[/tex], [tex]<[/tex], [tex]\geq[/tex], [tex]\leq[/tex] sign

A one degree inequation is known as linear inequation.

Here,

[tex]4(x - 3) - 7x \geq 6\\4x -12 - 7x \geq 6\\-3x -12\geq 6\\-3x \geq 6 + 12\\-3x \geq 18\\x \leq \frac{18}{3}\\x \leq 6[/tex]

Solution set = {[tex]x \epsilon \mathbb{R}, x \leq 6[/tex]}

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Step-by-step explanation:

20% = $1.86

1% = 20%/20 = 1.86/20 = $0.093

100% = 1%×100 = 0.093×100 = $9.30

in short : 1.86 × 100/20 = 1.86 × 5 = $9.30

the cost of her dinner without tip was $9.30.

The expression we have to solve is:

When solving this kind of expression, we need to solve first any multiplication before solving the additions.

So we solve 5x8 (which results in 400) and we get:

And finally, we solve the addition:

Answer: 425

The total installment price is 34 and the carrying charges is 34

A sort of contract or arrangement known as an installment loan involves a loan that must be returned over period with a predetermined number of periodic instalments; typically, at least two each payment is required.

a) Total charge of the Installment price = 146 × 30 = $5256

b) The carrying charges = $5256 - $4000 = $1256

c) Number of months needed to save money = $4000 ÷ 36 = 111.11..

Therefore 11.11 months or 12 months is needed to save money to buy the car.

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Answer:

2/9

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 5 by 6, and get 30.

Then we multiply 2 by 9, and get 18.

Next we give both terms new denominators -- 9 × 6 = 54.

So now our fractions look like this:

30

54

−

18

54

Step 2

Since our denominators match, we can subtract the numerators.

30 − 18 = 12

So the answer is:

12

54

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

12

54

÷ 2 =

6

27

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

6

27

÷ 3 =

2

9

Let's try dividing by 3 again...

No good. 3 is larger than 2. So we're done reducing.

There you have it! The final answer is:

5

9

−

2

6

=

2

9

Answer:

a. variable

Step-by-step explanation:

hope this helps

(4,5) and (4,12) are this pair is allowable to the maximum number of widgets the factory can produce in a day is 4, so x ≤ 4 .

(11,1) and (3,9) are this pair is allowable to the combined number of widgets and zurls made each day cannot be more than 12, so x + y ≤ 12.

Let us assume the number of widgets = x

Let us assume the number of zurls = y

According to question,

The combined number of widgets and zurls made each day cannot be more than 12.

That means,

x + y ≤ 12             (Equation-1)

The maximum number of widgets the factory can produce in a day is 4.

That means,

x ≤ 4                   (Equation-2)

So,

We can write each pair has,

(4,5)

x = 4,

y = 5

We can substitute values in equation 1 and 2,

x + y ≤ 12     ;        x ≤ 4    

4 + 5 ≤ 12     ;       4 ≤ 4    

9 ≤ 12

Hence this pair is not allowable to the combined number of widgets and zurls made each day cannot be more than 12.

Hence this pair is allowable to the maximum number of widgets the factory can produce in a day is 4.

(11,1)

x = 11,

y = 1

We can substitute values in equation 1 and 2,

x + y ≤ 12     ;        x ≤ 4    

11 + 1 ≤ 12     ;       11 ≤ 4    

12 ≤ 12

Hence this pair is allowable to the combined number of widgets and zurls made each day cannot be more than 12.

Hence this pair is not allowable to the maximum number of widgets the factory can produce in a day is 4.

(3,9)

x = 3,

y = 9

We can substitute values in equation 1 and 2,

x + y ≤ 12     ;        x ≤ 4    

3 + 9 ≤ 12     ;       3 ≤ 4    

12 ≤ 12

Hence this pair is allowable to the combined number of widgets and zurls made each day cannot be more than 12.

Hence this pair is not allowable to the maximum number of widgets the factory can produce in a day is 4.

(4,12)

x = 4,

y = 12

We can substitute values in equation 1 and 2,

x + y ≤ 12     ;        x ≤ 4    

4 + 12 ≤ 12     ;       4 ≤ 4    

16 ≤ 12

Hence this pair is not allowable to the combined number of widgets and zurls made each day cannot be more than 12.

Hence this pair is allowable to the maximum number of widgets the factory can produce in a day is 4.

Therefore,

(4,5) and (4,12) are this pair is allowable to the maximum number of widgets the factory can produce in a day is 4, so x ≤ 4 .

(11,1) and (3,9) are this pair is allowable to the combined number of widgets and zurls made each day cannot be more than 12, so x + y ≤ 12.

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The maximum number of widgets the factory can create in a day is 4, therefore x 4. (4,5) and (4,12) are this pair is permissible.

The total number of widgets and zurls produced each day is limited to 12, therefore (11,1) and (3,9) are acceptable. Therefore, x + y 12.

Let's assume there are x widgets.

Assume that y is equal to the number of zurls.

According to the inquiry,

There can never be more than 12 widgets and zurls produced each day.

That implies,

x + y ≤ 12             (Equation-1)

The maximum number of widgets the factory can produce in a day is 4.

That means,

x ≤ 4                   (Equation-2)

So,

We can write each pair has,

(4,5)

x = 4,

y = 5

We can substitute values in equation 1 and 2,

x + y ≤ 12     ;        x ≤ 4    

4 + 5 ≤ 12     ;       4 ≤ 4    

9 ≤ 12

Hence this pair is not allowable to the combined number of widgets and zurls made each day cannot be more than 12.

Hence this pair is allowable to the maximum number of widgets the factory can produce in a day is 4.

(11,1)

x = 11,

y = 1

We can substitute values in equation 1 and 2,

x + y ≤ 12     ;        x ≤ 4    

11 + 1 ≤ 12     ;       11 ≤ 4    

12 ≤ 12

Hence this pair is allowable to the combined number of widgets and zurls made each day cannot be more than 12.

Hence this pair is not allowable to the maximum number of widgets the factory can produce in a day is 4.

(3,9)

x = 3,

y = 9

We can substitute values in equation 1 and 2,

x + y ≤ 12     ;        x ≤ 4    

3 + 9 ≤ 12     ;       3 ≤ 4    

12 ≤ 12

Therefore, this pair is permitted as long as the total number of widgets and zurls produced each day does not exceed 12.

The factory can only manufacture a maximum of 4 widgets per day, so this combination is not permitted.

(4,12)

x = 4,

y = 12

We can substitute values in equation 1 and 2,

x + y ≤ 12     ;        x ≤ 4    

4 + 12 ≤ 12     ;       4 ≤ 4    

16 ≤ 12

Because the maximum daily production of widgets and zurls is limited to 12, this pair is not permitted.

The factory can only make a maximum of 4 widgets every day, hence this pair is permitted.

Therefore,

The maximum number of widgets the factory can create in a day is 4, therefore x 4. (4,5) and (4,12) are this pair is permissible.

The total number of widgets and zurls produced each day is limited to 12, therefore (11,1) and (3,9) are acceptable. Therefore, x + y 12.

Answer:

x=5/3

Step-by-step explanation:

Using the subtraction of two amounts, supposing that today is Monday and the book has 764 pages, he needs to read 500 pages to reach his goal.

Considering that Victor has not started to read the book yet, the number of pages that he needs to read is given by the subtraction of the total number of pages of the book by the number of pages that he wants to have remaining on Friday.

In the context of this problem, we have that:

Then the number of pages that he has to read is given by the subtraction of 764 and 264 as follows:

764 - 264 = 500 pages.

Hence Victor needs to read 500 pages before Friday to reach his goal.

The problem is incomplete and could not be found on any search engine, hence we suppose that:

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Answer: − 20 1/12

Step-by-step explanation:

Answer:

2*(4y² + 9)

Step-by-step explanation:

    8y² = 2 * 2 * 2 * y²

    18   = 2 * 3 * 3

GCF = 2

8y² + 18 = 2* 4y² + 2*9

             = 2*(4y² + 9)

The domain of the given function is all real numbers expect x> -7 and x ≥ 0.

The entire range of independent variable values is the domain of a function.

According to this definition, it means:

The collection of all x-values that can cause the function to "work" and produce actual y-values is known as the domain.

Keep these things in mind when locating the domain:

A fraction's denominator (bottom) cannot be 0.

In this section, the integer following a square root symbol must be positive.

Given,

g(x) = 1/x- 4/x+7

Applying the definition of rational function that denominator is non zero

x ≠ 0 and x+7 ≠ 0

solving the inequality,

x ≠ 0 and x ≠ -7

Combining the values,

x < -7 or -7 < x< 0 or x> 0.

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The adult weight of the puppy calculated using percentage is 45 pounds .

In mathematics, a value or ratio that can be expressed as a simple fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

As a result, the proportion refers to a component per 100. The word percent denotes a percentage of 100.

It is represented by the symbol "%." Percentages can also be written as decimals or fractions, like in 0.6%, 0.25%, etc.

Academic grades are calculated using percentages for every subject. Ram, for example, received a 78% on his qualifying exam.

The weight of the puppy is 9 pounds.

This is 20% of the adult weight.

Let the adult weight be x.

therefore 20% of x = 9

Calculating we get  x = 45 pounds

Hence the adult weight of the puppy is 45 pounds.

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If you compare the functions:

Considering f(x) as the parent function, let's analyze each option:

1) Translation 2 units right.

To translate a function 2 units to the right, you have to subtract 2 to the x-term:

As you can see the resulting function, h(x), is not equal to g(x), which means that the transformation applied was not a shift 2 units to the right.

2) Translation 2 units to the left

To translate the function two units to the left, you have to add 2 to the x-term:

The resulting function, i(x), is not equal to g(x), which means that the transformation applied was not a shift of 2 units to the left.

3) Translation 2 units up

To translate a function 2 units up, you have to add 2 to the function, that is:

The function j(x) is different from the function g(x), so the transformation applied was not a shift 2 units up.

4) Translation 2 units down

To shift a function two units down, you have to subtract 2 from the function:

The functions k(x) and g(x) are equal, which means that to determine the function g(x) the function f(x) was translated 2 units down.

Answer:

1,3,4

Step-by-step explanation:

keep it easy

The length of the frame the width is 22

What is the perimeter of a frame whose length is 22 inches and whose breadth is 14 inches?

The distance around an object is called the perimeter.

For instance, the yard of your home is fenced in. The perimeter is the length of the fence. Your fence is 200 feet long if the yard is 50 feet by 50 feet.

The answer to the above-mentioned difficulty is provided here.

We will search for the length since the frame's breadth is 14 inches and its perimeter is 72 inches. 2L + 2W is the perimeter formula.

Therefore, let's swap the values.

P = 2L + 2w

72 = 2L + 2(14) (14)

72 = 2L + 28

72 -28 = 2L\s44 = 2L \s22 = L

Consequently, the picture frame's length

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A loan of $50,000 is taken out for six years at 9% interest compounded annually. If the loan is paid off in full at the end of that time period, $50433 must be returned.

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Answer:

I see no question?

Step-by-step explanation:

Answer: y=-35

Step-by-step explanation:

The question is 25+y=-10

Now, since we want the value of y, we can see that we have to remove the 25 that is added to it. So, we subtract both sides as it an equal side, and -10-25= -35 So, y=-35

25+y=-10

-25       -25

y=-10-25=-35

Hope this helps

Answer:

x = 14

Step-by-step explanation:

First step is to set the opposite sites equal to each other (they are congruent)

13 = 2y + 1

and

x = y + 8

Now solve for y in terms of x so you can substitute it in the other equation

x - 8 = y

Plug into equation

13 = 2(x-8) + 1

13 = 2x - 16 + 1   distribute

13 = 2x - 15  simplify

28 = 2x  add 15 to both sides

x = 14

I hope this helps