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3 years ago

Drag each expression to show whether it is equivalent to 36 + 9, 9(4 – 1), or (4 • 9) + (4 • 2).

Mathematics

1 answer:

EastWind [94]3 years ago

7 0

Answer:

None of these are equivalent

Step-by-step explanation:

36 + 9 = 45

9(4 – 1) = 9* 3 = 27

(4 • 9) + (4 • 2) = 36+ 8 = 44

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A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the

amid [387]

Answer:

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.

Step-by-step explanation:

5 0

3 years ago

kelly can paint her father's shed in five hours, working alone. working together, she and her sister sharon can complete the tas

natali 33 [55]

According to the solving the correct expression of the given data is:

S = 5T/(T - 5).

<h3>What does a math expression mean?</h3>

At least two numbers as well as variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression. With the help of this mathematical operation, you can multiply, divide, add, or subtract. A sentence has the following structure: (Number or Variable, Math Operator, Number or Variable) is an expression.

The evaluation of each algebraic expression requires the substitution of one integer for each variable and the execution of the arithmetic operations. The variable x in the preceding example has the value of 6 since 6 plus 6 = 12. Our variables' values can be substituted for the original variables if we are aware of them, allowing us to evaluate the expression with those values instead of the original ones.

<h3>According to the given information:</h3>

Let S be the number of hours it would take Sharon to paint the shed alone.

Kelly alone can paint the shed in T hours,

so she can paint (1/T) of a shed per hour.

Sharon alone can paint (1/S) shed per hour, so, working together.

They can Paint:

(1/T)+(1/S)

it takes them five hours to paint the shed together, they can paint (1/5) shed per hour.

$$\frac{1}{S}+\frac{1}{T}=\frac{1}{5}$\\$

$\frac{1}{S}+\frac{1}{T}-\frac{1}{T}\\\\=\frac{1}{5}-\frac{1}{T}$

After simplifying this we get:

(T - 5)/5T

the reciprocal of both expressions:

S = 5T/(T - 5)

According to the solving the correct expression of the given data is:

S = 5T/(T - 5).

To know more about arithmetic operation visit:

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1 year ago

If f(x)= 3x^2+1 and g(x)= 1-x, what is the value of (f-g)(2)?

enyata [817]

Answer:

Step-by-step explanation:

note that (f - g) = f(x) - g(x)

f(x) - g(x) = 3x² + 1 - (1 - x) = 3x² + 1 - 1 + x = 3x² + x

To evaluate (f - g)(2) substitute x = 2 into f(x) - g(x)

(f - g)(2) = 3(2)² + 2 = (3 × 4) + 2 = 12 + 2 = 14

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3 years ago

I need help on a mathematics question. I need an explanation.

romanna [79]

Start by dividing both sides by 2 to get $log(x)= \frac{1}{2}log(64)$ . Doing the math on the right, keeping in mind that logs have an unwritten base of 10, gives us $log_{10} (x)=.903089987$ . Rewriting this in exponential form is $10^{.903089987}=x$ . That means that x = 8. Not negative, only positive.

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3 years ago

in the 1980s, an average mortgage range was around 18.75%. how much less per month would a $125,000 30 year mortgage be today if

tino4ka555 [31]

Answer:

$1289.48

Step-by-step explanation:

A financial calculator tells you the payment with the higher interest rate is $1960.51, and that with the lower interest rate is $671.03. The difference in payment amounts is ...

$1960.51 -671.03 = $1289.48

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3 years ago

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