true or false??????​

Answer:

Alex saves with company B: 15 cents per minute
If he had made 1400 minutes of call with B, total savings = $210

Step-by-step explanation:

Cost per minute with company A = Total cost/Number of minutes
= $322/1400 = $0.23 which is 23 cents per minute

Company B charges 8 cents per minute

Cost of savings per minute = 23 - 8 = 15 cents per minute = $0.15 ¢/min

If Alex had made the same amount of calls with company B, total savings = $0.15 x 1400 = $210

Answer:

Slope= 30

Step-by-step explanation:

What does the slope tell me?

It tells me that every time I try to find the slope with different points I get 30 for slope.

Answer: 1.4 min per min

Step-by-step explanation: sorry if wrong

Answer:

Step-by-step explanation:

To solve simultaneous equations graphically, you just sketch the lines on a graph and look for the point of intersection.

To sketch x + 2y = 63, just find the x and y intercepts. At the x-intercept, the y co-ordinate is always zero, so sub this in for y and solve for x:

⇒ x + 2(0) = 63

⇒ x = 63

So the x-intercept is (63, 0)

We can do the opposite for the y-intercept, as the x co-ordinate is always 0:

⇒ 0 + 2y = 63

⇒ 2y = 63

⇒ y = 31.5

So the y-intercept is (0, 31.5)

Just repeat for the second line, mark the intercepts on a graph, join them, and then look for the co-ordinates of where the lines intersect. These will be the values for x and y.

For substitution, we rearrange the subject for one equation, then sub its value into the other one.

So we can rearrange x - y = 4 to get x = y + 4. Now we sub the value of x here into the other equation:

⇒ (y + 4) + 2y = 63

Then just solve for y and plug it into either equation and find x.

For elimination, we can either add or subtract the two equations to eliminate a term. Here, we can subtract the two equations, to get rid of x:

⇒ x + 2y = 63

 - x  -  y  =  4

x - x is 0, so it is eliminated, 2y - - y is 2y + y which is 3y, and 63 -4 is 59.

So we're left with 3y = 59, which is easy to solve and then we plug it back in to solve for x.

The rate at which the volume of the cube is changing is 1200 in³/seconds.

Volume is the space occupied by a solid object.

To calculate the rate at which the volume of the cube is changing, we use the formula below.

Formula:

Where:

From the question,

Given:

If, the volume of a cube is V = L³,

Then,

Substitute these values into equation 1

Hence, the rate at which the volume is changing is 1200 in³/seconds.
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The car's speed is approximately 64.37 kilometers per hour, and it will travel 64.37 times the number of hours it is on the road in kilometers.

When converting miles per hour to kilometers per hour, we need to consider that 1 mile is approximately equal to 1.60934 kilometers. Therefore, to find the car's speed in kilometers per hour, we can multiply its speed in miles per hour by the conversion factor of 1.60934.

In this case, the car's speed of 40 miles per hour can be converted as follows:

40 miles/hour * 1.60934 kilometers/mile = 64.3736 kilometers/hour.

Thus, the car's speed is approximately 64.37 kilometers per hour.

To calculate the distance the car will travel in hours, we can use the formula distance = speed × time. Given that the car will be traveling for a certain number of hours, let's say 't' hours, the distance traveled in kilometers can be determined as:

Distance = 64.37 kilometers/hour × t hours = 64.37t kilometers.

Therefore, the car will travel 64.37 times the number of hours it travels in kilometers.

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The HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle; then, the two triangles are congruent.

Notice that the corresponding sides of both triangles are

To use the HL theorem, both hypotenuses have to be congruent.

As for the legs, one of the following two relations has to be valid.

Therefore, the two possible answers are

Thus, the answer is option A

Answer:

63°

Step-by-step explanation:

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hope it helps...

have a great day!!

Answer:

-6

Step-by-step explanation:

\(7x + 2 = 5(x - 2) \\ 7x + 2 = 5x - 10 \\ 7x - 5x = - 10 - 2 \\ 2x = - 12 \\ x = \frac{ - 12}{2} \\ x = - 6\)

Answer:

-6

Step-by-step explanation:

7x+2 =5x-10

7x-5x= -10-2

2x = -12

x= -12/2

x=-6

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Answer:

179

Step-by-step explanation:

ones, (3+6)+(30+40)+(100+0)=179

Simplify the given expression (x+8y)+(-7x-4y) in the simplest form is equal to -6x + 4y.

As given in the question,

Given expression is equal to :

(x+8y)+(-7x-4y)

Simplify the given expression (x+8y)+(-7x-4y) into simplest form we get,

(x+8y)+(-7x-4y)

Collect all the like terms and simplify it as per the given operation we have,

= ( x + (-7x)) + ( 8y + (-4y))

= ( x -7x) + ( 8y -4y)

Simplest form of the given expression is equal to

= -6x + 4y

Therefore, simplify the given expression (x+8y)+(-7x-4y) in the simplest form is equal to -6x + 4y.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

Step 3, because the values for x for which y^1 < y^2 also include values between 3 and 5.

Step-by-step explanation:

Just took the test.

Answer:

c

Step-by-step explanation:

it just is

The table makes it abundantly evident that buying costs less than renting does. Buying a house is therefore better over the course of 15 years. By buying a home instead of renting one, you can save $5,222.4.

Every object's length can be determined using measuring tools like a ruler, measuring tape, etc. For example, a ruler may be utilized to measure the length in inches of a pencil. A foot scale can be used in a classroom to gauge the heights of the students.

Step 1

Buying a home is more advantageous if someone is looking for somewhere to live for an extended period of time. Second, if a person buys the home, it can be sold at a higher price in the future since rental prices after a specified term and after a few years, say 10 or 15, cumulative rental charges become greater than the initial purchase price.

However, according to the above table, renting a property is preferable if the need for the home is for a shorter duration, like fewer then 5 or 10 years, in order to save money.

Step 2

1 year

The cost for Purchasing a house = 30,000 + 1 × 12 × 809.32 = $39,711.84

The cost of renting a house = 1 × 12× 900 = $10,800

So, it is evident that there's a difference between buying and renting a home of $28,911.84. So, renting a home is preferable.

Step 3

5 year

The cost of purchasing the home for five years is listed as $78559.20, whereas the cost of renting the home for five years was $54,900.

Again, renting is more affordable than buying. By renting a home, one could save $23,659.2 (78559.20-54900).

10 years

The cost of purchasing the home over 10 years is shown as $127,118.40, while the cost of renting the home for 10 years was $115,200.

Renting is less expensive than buying. Yet, buying a house is advantageous if it can be bought or rented out; otherwise, leasing one is advantageous.

Step 4

15 years

The table clearly shows that purchasing is less expensive than renting. Over the period of fifteen years, purchasing a home is therefore preferable. You can save $5,222.4 by buying a house instead of renting one.

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Answer:

5 pens

Step-by-step explanation:

$10 - 6$ = $4

$4/$0.80

she can afford 5 pens

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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Answer:

  $2496

Step-by-step explanation:

You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.

The dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.

In square yards, the area is ...

  (6 yd)(8 yd) = 48 yd²

The cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.

  (48 yd²)($52/yd²) = $(48·52) = $2496

The total price to carpet the floor is $2496.

__

Additional comment

We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.

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Using quadratic function concepts, the function that could model this is:

\(f(x) = -x^2 + 470x - 42000\)

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

\(f(x) = a(x - x_1)(x - 2)\)

\(f(x) = -1(x - 120)(x - 350)\)

\(f(x) = -x^2 + 470x - 42000\)

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Answer: 12 each

Step-by-step explanation: 72 divided by 6 = 12

Therefore, the end behavior of the function f(x) is: f(x) → 0- as x → -∞ and f(x) → 1 as x → ∞.

In mathematics, a function is a rule that assigns a unique output value to each input value. Functions are often represented as equations or graphs that relate the input (also known as the independent variable) to the output (also known as the dependent variable). The input is usually denoted by the variable x, and the output is usually denoted by the variable y. Functions can be used to model relationships between different quantities, such as time and distance, or temperature and pressure. They are a fundamental concept in mathematics and are used in many fields, including physics, engineering, economics, and computer science.

Here,

To determine the end behavior of the function f(x) = (-4x³+ 7x + 9)/(8x⁶ - 9x⁴ - 2x), we need to consider the limit of the function as x approaches positive or negative infinity.

As x approaches negative infinity, the highest power of x in the numerator is -4x³, which will dominate the function. The highest power of x in the denominator is 8x⁶, which will also dominate the function. Therefore, we can simplify the function to:

f(x) ≈ (-4x³)/(8x⁶) = -1/(2x³)

As x approaches negative infinity, the denominator of this simplified function will become very large (since x³ becomes very negative), causing the function to approach 0 from the negative side:

f(x) → 0- as x → -∞

As x approaches positive infinity, the highest power of x in the numerator and denominator are both 8x⁶. Therefore, we can simplify the function to:

f(x) ≈ (8x⁶)/(8x⁶) = 1

As x approaches positive infinity, the function will approach 1 from the positive side:

f(x) → 1 as x → ∞

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Complete question:

Consider the following rational function fff. f(x)=\dfrac{-4x^3+7x+9}{8x^6-9x^4-2x}f(x)= 8x 6 −9x 4 −2x −4x 3 +7x+9 ​ f, left parenthesis, x, right parenthesis, equals, start fraction, minus, 4, x, cubed, plus, 7, x, plus, 9, divided by, 8, x, start superscript, 6, end superscript, minus, 9, x, start superscript, 4, end superscript, minus, 2, x, end fraction Determine fff's end behavior. f(x)\tof(x)→f, left parenthesis, x, right parenthesis, \to as x\to -\inftyx→−∞x, \to, minus, infinity. f(x)\tof(x)→f, left parenthesis, x, right parenthesis, \to as x\to \inftyx→∞x, \to, infinity.

The graphing and analysis of the cubic function, f(x) = 2·(x + 2)³ - 2, indicates that we get;

Please find attached the graph of the function created with MS Excel

Horizontal shift: 2 units to the left

Vertical shift: 2 units down

Vertical stretch factor: 2 units

Vertical compression factor: N/A

Axis of reflection : N/A

Domain: (-∞, ∞)

Range: (-∞, ∞)
Inflection point: (-2, -2)

A cubic function is a degree 3 polynomial of the form, f(x) = a·x³ + b·x² + c·x + d, where a ≠ 0, and the letters a, b, c, and d represent real numbers.

The specified function is; f(x) = 2·(x + 2)³ - 2

Please find attached the graph of the function created with MS Excel

The horizontal shift of the parent function, obtained from the function is; 2 units left

The vertical shift of the function obtained from the expression for the graph is 2 units down

The stretch factor obtained from the coefficient of the variable is a vertical stretch of 2

The axis of reflection; Not applicable

Domain; The set of the possible input values of the function
The domain is the set of all real numbers; (-∞, ∞)

Range; The set of the possible output values of the function

The range is the set of all real numbers; (-∞, ∞)

The inflection point can be found as follows;

f(x) = 2·(x + 2)³ - 2

f''(x) = d²(2·(x + 2)³ - 2)/dx² = 12·x + 24

f''(x) = 0 at the inflection point, therefore;

f''(x) = 12·x + 24 = 0

x = -24/12 = -2

x = -2

The function value at the inflection point is therefore;

f(-2) = 2·(-2 + 2)³ - 2 = -2

The inflection point is; (-2, -2)

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Step-by-step explanation:

Prime Factors for 24: 2, 2, 2, and 3.

Prime Factors for 32: 2, 2, 2, 2, and 2.

Answer:

Prime Factors for 24: 2, 2, 2, and 3.

Prime Factors for 32: 2, 2, 2, 2, and 2.

Step-by-step explanation:

The surface area of the rectangular prism is 216 square inches

From the question, we have the following parameters that can be used in our computation:

10 in by 3 in by 6 in

The surface area of the rectangular prism is calculated as

Surface area = 2 * (Length * Width + Length * Height + Width * Height)

Substitute the known values in the above equation, so, we have the following representation

Area = 2 * (3 * 10 + 3 * 6 + 10 * 6)

Evaluate

Area = 216

Hence, the area is 216 square inches

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Answer:14/165

Step-by-step explanation:

its a fraction i did the same qestion and got it right

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408