I need help I have to trun it in I have like 5 minutes ​

Answer: − 20 1/12

Step-by-step explanation:

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.

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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Explanation:

The balance after t years can be calculated using the following equation:

Where P is the principal amount and r is the rate of interest per year.

So, replacing P by $300, r by 3.5%, and t by 5, we get:

So, the balance after 5 years is $356,3059

Answer: $356.3059

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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The shaded sections of the trapezoid are triangles.

We know how to find the area of triangles

A = 1/2 bh

Lets start with the left triangle

The bases is 1.1 inches and the height is 3.8 inches

A left triangle is

A = 1/2 ( 1.1) * 3.8 = 2.09

The right triangle has the same dimensions

A right triangle is

A = 1/2 ( 1.1) * 3.8 = 2.09

Add the two triangles together

2.09+2.09 = 4.18 in^2

The area of the shaded region is 4.18 in^2

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

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:

Step-by-step explanation:

ans is 7

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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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).

The pairs of insulated socks has a unit rate of $7.99

From the question, the given parameters are

The above parameters can be represented as the following points

(x, y) = (6, 47.94)

The unit rate of the points is then calculated as

k = y/x

Substitute the known values in the above equation

So, we have the following equation

k = 47.94/6

Evaluate the quotient

So, we have

k = 7.99

Hence, the unit rate is $7.99

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Answer:

23.25 or 23 1/4

Step-by-step explanation:

keep change flip

7 3/4 = 31/4

31/4 x 3/1

31 x 3=93

4 x 1 =4

93/4 simplifies to 23 1/4 or 23.25

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)

Answer:

x=5/3

Step-by-step explanation:

(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:

1. Quadratic

2. Not quadratic

3. Not quadratic

4. Quadratic

Step-by-step explanation:

A quadratic equation will have a degree of 2. The degree is the highest power of the x term in the equation.

Therefore a quadratic equation will be of the form

y = ax² + bx + c,

where a, b and c are constants

a ≠ 0 but either b or c or both can be 0

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

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

The  expression that can be considered as been equivalent to 3/4-2/5 is 15/20-8/20.

The  equivalent expression be gotten by finding the values of the given answer one after the other, from the given option, we can see that the value of the difference in the given expression is 0.35, then the value option A is also 0.35 which implies that the option A as well as the given expression have the same value.

It should be noted that the option A can as well be simplified as still get the vale of the given option.

Therefore, option A is correct.

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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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The required equations of the line are as follows;

The line shown in the task content has a slope of 1 as it has a unit rate of change and also, the y-intercept of the graph shown is at the point; (0, 1).

On this note, it follows from line graphs that parallel lines have equal slopes. Hence, the required line would have the same slope, m = 1 too.

The equations are therefore as follows;

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Answer:

a. variable

Step-by-step explanation:

hope this helps

Answer:

see below

Step-by-step explanation:

23 out of the 40 have cc or pecans

23/40

Answer:

Step-by-step explanation:

Exponent calculator helps you find the result of any base raised to a positive or negative exponent.

The end behavior of the graphs of the functions f(x) and g(x) are common.

Consider the two functions,

f(x) = x³ + x² - 6x and g(x) = [tex]e^{x+2}[/tex] - 1

Now,

y = x³ + x² - 6x

The x-intercept will be:

0 = x³ + x² - 6x

x( x² + x - 6 ) = 0

x( x - 2 )( x + 3 ) = 0

So, x = 0, 2, - 3

Hence, the x-intercepts are ( 0, 0 ), ( 2, 0 ), and ( - 3, 0 ).

The y-intercept will be:

y = x³ + x² - 6x

y = (0)³ + (0)² - 6(0)

y = 0

Hence, the y-intercept is ( 0, 0 ).

The range of the function f(x) = x³ + x² - 6x is ( - ∞, ∞ ).

Using the degree 3 and the leading coefficient 1 of the function f(x) the end behavior of the function will be:

Falls to the left and rises to the right.

For the function,

y = g(x) = [tex]e^{x+2}[/tex] - 1

The x-intercept will be:

y = [tex]e^{x+2}[/tex] - 1

0 = [tex]e^{x+2}[/tex] - 1

[tex]e^{x+2}[/tex] = 1

[tex]e^{x+2}[/tex] = e⁰

x + 2 = 0

x = - 2

Hence, the x intercept is ( - 2, 0 ).

The y-intercept will be:

y = g(x) = [tex]e^{x+2}[/tex] - 1

y = e² - 1

Hence, the y-intercept will be ( 0, e² - 1 ).

The range of the function g(x) is ( - 1, ∞ ).

The end behavior of the function g(x) constantly rises to the right in the positive y-axis.

Hence, the functions f(x) and g(x) have the end behavior in common.

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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

Answer: B) Symmetric Property of Equality

Step-by-step explanation:

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

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