14. A cable company charges a $30 base installation fee plus $10 for every hour it takes to install all the equipment in your house. Write an equation in slope-intercept form that models the price of your installation as a function of the amount of time it takes.
A. y=30x+10
B. y=10x+30
C. y=10x-30
D. y=30x-10​

Both -5 and 1 are extraneous solution to the equation

A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

c²+2c-4-1-2c = 0

c²+2c-2c -4-1 = 0

c²-5 = 0

Therefore both -5 and 1 are extraneous solution in the equation.

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Answer: x ≥0,y ≥3000

Step-by-step explanation:

that’s what i put and got it right so ‍♀️

Answer: Yes

Step-by-step explanation: It is proportional because they all simplify to 1/65.

Answer:

This is the graph (NOTE, THEY ARE ON TOP OF EACH OTHER).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I think a cuz b=1 and c=7 and if c and b were negative -1>-7 which is correct

Answer:

B. Distributive Property

Step-by-step explanation:

The equation for the distributive property is

ab+ac = a(b+c)

We, see it similar to statement 6, so it is the correct answer

Answer:

It will not provide a representative random sample.

Step-by-step explanation:

This is because kids under five will only leave the house if they are going to the park or doing something with there parents. They don't go to school either so they most likely won't leave during the hours of 7 AM and 8 AM.

Hope this helps! :D

- Luna

Answer:

He will have it on the 15th day

The average rate of change of f(x) on the interval 1 < x < 3 is 3. The instantaneous rate of change of f(x) at the point (3, 11) is 1 and the function f(x) has a critical number in the interval 1 < x < 3, and this can be shown using the Mean Value Theorem and the Intermediate Value Theorem.

a) To calculate the average rate of change of f(x) on the interval 1 < x < 3, we use the formula: (f(3) - f(1))/(3 - 1). Given that f(1) = 5 and f(3) = 11, the average rate of change is (11 - 5)/(3 - 1) = 3.

b) The equation of the tangent line to y = f(x) at (3, 11) is y = -x + 7. The slope of this line represents the instantaneous rate of change of f(x) at that point. In this case, the slope is -1, indicating that for every unit increase in x, there is a corresponding unit decrease in y.

c) By the Mean Value Theorem, if a function is continuous on a closed interval and differentiable on the open interval, then there exists at least one point c in the open interval where the instantaneous rate of change is equal to the average rate of change. In this case, f'(c) = 3.

To establish the existence of a critical number, we use the Intermediate Value Theorem applied to f'(x). Since f'(1) = 3 and f'(3) = -1, and the function f'(x) is continuous on the interval [1, 3], there must exist a point d in the interval where f'(d) = 0.

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The unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is:

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown. What is the greatest possible whole-number value of the congruent side lengths?

9 cm

10 cm

14 cm

15 cm

We have:

The longest side of an isosceles obtuse triangle measures 20 centimeters.

Let's assume the unknown side length is x:

In the isosceles obtuse triangle, two sides are congruent.

As we know the sum of the two sides in a triangle is greater than the third side length:

x + x > 20

2x > 20

x > 10

a² + b² < c²

14 will satisfy the above two inequaility.

Thus, the unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.

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The value of the integral is: S√2 1 (u⁷/2 - 1/u⁵)du = 28/9 - 15/4

= (112/36) - (135/36)

= -23/36.

To evaluate the integral S√2 1 (u⁷/2 - 1/u⁵)du, we can use the linearity property of integration and split the integrand into two separate integrals:

S√2 1 (u⁷/2 - 1/u⁵)du = S√2 1 u⁷/2 du - S√2 1 1/u⁵ du

Now, we can integrate each of these separate integrals:

S√2 1 u⁷/2 du = (2/9) u⁹/2 |1 √2 = (2/9) * (2√2⁹/2 - 1)

= (4/9) (√2⁴ - 1)

= (4/9) (8 - 1)

= 28/9

S√2 1 1/u⁵ du = (-1/4) u⁻⁴ |1 √2 = (-1/4) * (1 - 2⁴)

= (-1/4) * (-15)

= 15/4

Therefore, the value of the integral is: S√2 1 (u⁷/2 - 1/u⁵)du = 28/9 - 15/4

= (112/36) - (135/36)

= -23/36.

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Step-by-step explanation:

Answer: 9.090909090909091

Step-by-step explanation: Knowing this we can solve. We have 7 pounds, and there are 16oz in 1 pound so we multiply the number of pounds by the number of ounces in 1 pound. 7 x 16 = 112 ounces. So there are 112oz total, which costs $12.32. Now we divide $12.32 by 112oz to find the price per ounce which would be roughly 9.09

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

2

Step-by-step explanation:

add

Answer:

25c+5d

Step-by-step explanation:

First, write out the equation as you have been given in the problem:

\(5(3c-[d-2(c+d)])\\\)

Next, distribute the -2 to the set of parenthesis containing "c+d" and combine any like terms that you can:

\(5(3c-[d-2c-2d])\\5(3c-[-2c-d])\)

Then, distribute the "-"to the "-2c-d" in the brackets and combine and like terms that you can:

\(5(3c+2c+d)\\5(5c+d)\)

Finally, distribute the coefficient 5 to the terms inside the parenthesis:

\(25c+5d\)

Therefore, 25c+5d is you simplified answer to the problem.

The linear approximation of f(x)= sqrt(4-x) at a=0 can be used to approximate sqrt(3.9) and sqrt(3.99) as 0.0500 and 0.0050, respectively.

The linear approximation of the function f(x)= sqrt(4-x) at a=0 is given by:

L(x) = f(a) + f'(a)(x-a)
    = sqrt(4-0) + (-1/2)(x-0)
    = 2 - 0.5x

To approximate the numbers sqrt(3.9) and sqrt(3.99) using L(x), we need to plug in the values of x and round the answer to four decimal places.

For sqrt(3.9), we have:

L(3.9) = 2 - 0.5(3.9)
      = 0.05

Rounding to four decimal places, we get:

L(3.9) ≈ 0.0500

For sqrt(3.99), we have:

L(3.99) = 2 - 0.5(3.99)
       = 0.005

Rounding to four decimal places, we get:

L(3.99) ≈ 0.0050

Therefore, the linear approximation of f(x)= sqrt(4-x) at a=0 can be used to approximate sqrt(3.9) and sqrt(3.99) as 0.0500 and 0.0050, respectively.

To find the linear approximation L(x) of the function f(x) = sqrt(4-x) at a=0, we need to calculate the value of the function and its derivative at a=0:

f(a) = f(0) = sqrt(4-0) = sqrt(4) = 2

Now, we find the derivative of f(x) with respect to x:
f'(x) = d/dx(sqrt(4-x)) = -1/(2*sqrt(4-x))

Next, evaluate f'(x) at a=0:
f'(0) = -1/(2*sqrt(4-0)) = -1/(2*2) = -1/4

The linear approximation L(x) is given by:
L(x) = f(a) + f'(a)(x-a)
L(x) = 2 - (1/4)(x-0) = 2 - (1/4)x

Now, we use L(x) to approximate sqrt(3.9) and sqrt(3.99):
L(0.1) = 2 - (1/4)(0.1) = 1.9750
L(0.01) = 2 - (1/4)(0.01) = 1.9975

So, the linear approximations of sqrt(3.9) and sqrt(3.99) are 1.9750 and 1.9975, respectively.

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The correct option is a, the amount that Darius spent in going bowling is $16.22

To determine how much Darius spent on going bowling, we can subtract the total spent and the amounts spent on the cell phone bill, groceries, and gas from the expense spreadsheet.

Total spent: $135.82

To find the amount spent on bowling, we subtract the above expenses from the total spent:

Amount spent on bowling = Total spent - (Amount spent on cell phone bill + Amount spent on groceries + Amount spent on gas in car)

Amount spent on bowling = $135.82 - ($38.65 + $53.20 + $27.75)

Amount spent on bowling ≈ $16.22

Therefore, Darius spent approximately $16.22 on going bowling.

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Answer:

Step-by-step explanation:

The answer is false because 15 + 12 does not equal 220

15 + 12 = ?

It equals 27 if you got your calculations right.

You could also find out if the answer is right if you subtract 220 by one of the numbers ( 15 or 12 ) and if you get the number that you didn't subtract, then that is correct.

Here's an example.

220 - 15 = ?

220 - 15 = 205

205 does not equal 12, so it is wrong or F A L S E.

Hope this helps! <3

Answer:

|n - 1| + 1 = 0

|n - 1| = -1

no solution

Step-by-step explanation:

That's it bro hope it helps you

Find the volume of each and then divide the volume of the box by the volume of the cube.

Volume of box: 8 1/2 x 5 1/2 x 2 1/2 = 116 7/8 cubic inches.

Volume of cube = 1/2^3 = 1/8 cubic inches

Number of cubes: 116 7/8 / 1/8 = 935 cubes.

Answer:

\(x {}^{ \frac{3}{4} } = 64 \\ x = 4 {}^{4} = 256 \: \: \: ans.\)

The interval of the inequality -5 < x < 20 will be given as (-5, 20).

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Any real figure that exists between any two integers in the interval set of measurements is included in the set.

The inequality is given below.

-5 < x < 20

The value of x is greater than negative 5 and less than 20.

Then the interval will be given as (-5, 20).

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Answer:

2nd

Step-by-step explanation:

Answer:

i believe the answer is b

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

The three angles of a triangle always add up to 180.

Therefore, we have the equation:

55+20+x=180.

Solving for x, we get x=105.

So the answer is C.

Hope this helps! :D

Answer:

This is an impulse purchase.

Step-by-step explanation:

He did not go to the store to buy that speaker. He had an inpulse to buy it when he saw it, even when he did not have enough money to purchase the speaker.

For instance, If he DID go to the store to buy that speaker, it would be a planned purchase, meaning he had the intentions of buying that speaker.

Answer:

Ok here is the answer!

Step-by-step explanation:

To say impulse purchase, the buyer should have less cash on his hand but willing to buy a commodity more than his cash. So the buyer will decide to add cash to his pocket using credit card and go to banks for withdrawal. Hope you get the answer!

Love you all

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer: 1/8

Step-by-step explanation: To calculate the probability, we first need to add up the total amount of CDs. 10+6+4+12 = 32. After this, we divide 4 by 32, getting 4/32 which can be simplified to 1/8