the area of a rectangular picture frame is 30 1/3 square inches the length is 6 and 1/2 in find the width of the frame

h(x) = 3x + 5

h(a) = 27

We can write this as 3a + 5 = 27

Now, we just need to solve for a.

Subtract 5 from both sides

3a = 22

Divide 3 from both sides.

a = 7.33

Now, let's plug 7.33 back into the original equation.

3 * 7.33 + 5 = 27

22 + 5 = 27

27 = 27 √ this is correct

To find 'a' in the equation h(x)=3x+5 when h(a)=27, we substitute h(a) with 27 and solve for 'a'. After some simple algebra, we find that 'a' equals approximately 7.33.

This question is about solving algebraic equations. Here, we are given that h(x)= 3x+5 and h(a) =27. To find the value of 'a', we need to substitute 'h(a)' with 27 in the equation h(x)= 3x+5.

So, 27 = 3a + 5. To isolate 'a', we'll first subtract 5 from both sides of the equation: 27-5 = 3a, which simplifies to 22 = 3a.

Next, we divide both sides of equation by 3 to solve for 'a': 22/3 = a, hence a = 22/3 or approximately 7.33.

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In the inequality a>b, 'a' will be located to the right of 'b' on a number line. This is because numbers increase as we move to the right on a number line.

If the inequality a>b holds, then the position of a on the number line is to the right of b. This is because on a number line, numbers increase as we move towards the right. Consequently, a larger number will always be to the right of a smaller number.

For instance, if a=5 and b=3, on the number line, the point at 5 (representing a) will be to the right of the point at 3 (representing b). This shows that a is greater than b.

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The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

The equation of the graphed line is x - y = 0.

The equation of the graphed line in standard form is x - y = 0.

Standard form of a linear equation is written as Ax + By = C, where A, B, and C are constants. In this case, since the slope of the line is 1 and the y-intercept is 0, the equation becomes x - y = 0.

Therefore, the correct answer is x - y = 0.

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Let the width of room be =x mtrs

Then the length is x+2 mtrs

As Perimeter = 2(l+b) = 2(x+x+2)

16 = 2 ( 2x+2)

16/2 = 2x +2

8=2x+2

2x= 8-2 = 6

x = 6/2 =3 mtrs

Therefore width of the room is 3 mtrs

2(w)+ 2(w+2)=16

2w + 2w +4 =16

4w + 4 =16

4w = 12

w =3

width = 3 meters

4x + 36 = 4(x + 9)

Hope this helps

-AaronWiseIsBae

Answer:

2

Step-by-step explanation:

To calculate the value of the given rational expression (2x + 6) / (4x - 8), it is a good idea to simplify it first.

To simplify this expression, we can take the common out of both, the numerator and the denominator, as shown:

From the term 2x + 6, we can take out 2 as the common and from 4x-8, we can take 4 as common so the terms will become;

2 (x + 3) / 4 (x - 2)

2 from the numerator and 4 from the denominator will get cancelled and we will get x+3 / 2(x-2)

so we will solve for x-2 = 0 to get x = 2 which is the excluded value.

First you need to subtract 750-600= 150.

Then 150 time .35=52.5.

Lastly 52.5+49.99= 102.49

a(5-x) = bx-8

5a - ax = bx - 8

ax + bx = 5a + 8

x(a +b) = 5a + 8

x = (5a + 8) / (a +b)

Answer:

correct

Step-by-step explanation:

The line y = 5 is a horizontal line. A line perpendicular to a horizontal line is a vertical line. The vertical line that passes through point (-7, -5) has equation x = -7.

Answer: x = -7

ANSWER.

The correct answer is Option A

EXPLANATION.

The real number

[tex]\sqrt{35}=5.916079783[/tex]

to 9 decimal places.

You can see that the decimals are not repeating, neither will they terminate.

Therefore the real number [tex]\sqrt{35}[/tex] is irrational because, the decimal does not terminate or repeat

Also note that,

[tex]\sqrt{35}=\sqrt{5} \times \sqrt{7}[/tex] .

That is,

[tex]\sqrt{35}[/tex] is a product of two irrational numbers, which still gives an irrational number.

Answer:

B i think

Step-by-step explanation:

In order to solve this, first add 7.5 to both sides of the equation.

[tex]2x-7.5+7.5=23.50+7.5[/tex]

[tex]2x=31[/tex]

Divide 2 on both sides of the equation for x.

[tex]\frac{2x}{2}[/tex]=[tex]\frac{31}{2}[/tex]

[tex]x=\frac{31}{2}[/tex] or [tex]15.5[/tex]

62,732+469=63,201

63,201+62,732=125,933

your answer is 125,933

Answer: x = 120°

angles: 60°, 60°, 120°, 120°

Step-by-step explanation:

x + x + [tex]\frac{1}{2}x[/tex] + [tex]\frac{1}{2}x[/tex] = 360°

3x = 360°

x = 120°

[tex]\frac{1}{2}x = \frac{1}{2}(120)[/tex] = 60°

Opposite rays form at 1:38 because the minute hand and the hour hand go towards the opposite direction from the center of the clock.

In the context of an analog clock, opposite rays form when the hour and minute hands point in exactly opposite directions. This doesn't occur at either 1:35 or 1:38. The closest approximation of this situation on a clock is at 6 o'clock.

If we use the analogy of a typical analog clock face, opposite rays would form when the minute and hour hands are directly across from each other. For instance, at exactly 6 o'clock the minute and the hour hands on the clock are opposite rays, because they start from the same point (the center of the clock) and extend in opposite directions.

Looking at the times 1:35 and 1:38, neither time is an exact representation of opposite rays. At 1:35, the minute hand is pointing at 7 and the hour hand is somewhere between 1 and 2, which is not directly opposite. At 1:38, the situation is similar, but the minute hand is now pointing at around 8.

So the fact is, opposite rays do not form at either 1:35 or 1:38 in the analog clock representation. Opposite rays are formed when the hour hand is on the six and the minute hand is on the twelve.

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tan(6.5) * 4 = .9 or .88110880134

Answer:

h≈0.5 mi.  (to nearest tenth of a mile)

Step-by-step explanation:

tan6.5=h/4

h=4tan6.5 mi

h≈0.5 mi.  (to nearest tenth of a mile)

Translations

y = f (x) + m up m units

y = f (x) - m down m units

y = f (x + m) left m units

y = f (x - m) right m units

Stretches/Shrinks

y = n · f (x) stretch vertically by a factor of n

y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)

y = f (1/n x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

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

The answer is the first option: The graph flips over the x-axis.

The explanation for this exercise is shown below:

1. When you multiply a function by -1 alll the positives values of y now will be negative, and the points negative y-axis.

2. As you can see in the figure attached, if you have a function [tex]f(x)=x^{2}[/tex] and you multiply it by -1, the graph will flip over the x-axis.

Answer: The answer on edge is B.

13 * (4+40)/2

Step-by-step explanation:

2x² - 3x - 8

note that (f - g)(x) = f(x) - g(x) = 2x² - 5 - 3x - 3 = 2x² - 3x - 8

given that

c = 15h + 245

when h = 30.35  , cost c = (15 × 30.35) + 245

= 453.75 + 245 = 698.75

so cost if painter works = 698.75 unit of currency.

To find the total cost for a painter working 30.25 hours using the function rule c= 15h + 245, multiply the hourly rate (15) by the hours worked (30.25) and add the fixed cost (245). The total cost would be $698.75.

To calculate the total cost c a painter charges to paint a house given the function rule c= 15h + 245, where h is the number of hours worked, we need to substitute the value of h with the given number of hours. In this case, the painter works for 30.25 hours. Therefore, the cost calculation would be:

c = 15 × 30.25 + 245

Step 1: Multiply the hourly rate by the total hours worked:

15 × 30.25 = 453.75

Step 2: Add the fixed cost to the result from step 1:

c = 453.75 + 245

Step 3: Combine the values to get the total cost:

c = 698.75

So, if the painter works for 30.25 hours, the total cost to paint the house would be $698.75.

Answer:

x= 5 miles

Step-by-step explanation:

Note that (-6)^2 = (-6)(-6)

Multiply across. Remember that when multiplying two negative numbers, the product would be a positive answer

(-6) x (-6) = 36

36 is your answer

~Rise Above the Ordinary, Senpai

Answer:

[tex]\huge \boxed{36}}[/tex]

Step-by-step explanation:

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

[tex]\displaystyle-6^2=6^2[/tex]

Exponent, to find the answer.

[tex]\displaystyle6^2=6*6=36[/tex]

[tex]\displaystyle 36[/tex], which is our answer.

the answer is the first one y<0

The range of the function h(x)=-8^x is:

C. y<-1

1)Find all the like terms=3x3x/6>1/3x+2

2)Multiply both sides by six=9x>2x+12

3)Move the variables to the left side and change the sign=9x-2x>12

4)Find the like terms=7x>12

5)Divide by sides by seven=x>12/7

6)Your answer is x>12/7

I hope this helps! :)

Answer:

Rental Charge ($) on the left side and, Time (hours) on the bottom.

Answer:

Rental Charge ($) on the left side and, Time (hours) on the bottom.

Step-by-step explanation:

ANSWER

The degree of the given polynomial is [tex]5[/tex]

EXPLANATION

The given polynomial is

[tex]p(x)=x^4+2x^3-3x^5+4x-5x^2+6[/tex]

When we write this polynomial in descending order, we get,

[tex]p(x)=-3x^5+x^4+2x^3-5x^2+4x+6[/tex]

The highest degree is 5.

Hence the degree is 5

Answer: The consultant earn $50 each hour.

Explanation:

It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.

If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).

If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).

[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\text{Slope}=\frac{450-400}{5-4}[/tex]

[tex]\text{Slope}=\frac{50}{1}[/tex]

[tex]\text{Slope}=50[/tex]

In the linear function the slope show the earning of consultant per hour, therefore consultant earn $50 each hour.