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yuradex [85]
3 years ago
11

Please Help!!!! What is the final step to prove....

Mathematics
2 answers:
tia_tia [17]3 years ago
6 0
The answer d n=k+1 that the answer
lubasha [3.4K]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Step 1(Base step) − It proves that a statement is true for the initial value.

Step 2(Inductive step) − It proves that if the statement is true for n=k, then it is also true for n=k+1.

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Twenty-seven is smaller than five times a number increased by seven
JulsSmile [24]

Answer:

27 < 5*n +7

n<4

Step-by-step explanation:

Twenty-seven is smaller than five times a number increased by seven


Increase means add

27 < 5*n +7

Subtract 7 from each side

27-7 <5n+7-7

20 < 5n

Divide by 5

20/5 < 5n/5

4 <n

8 0
3 years ago
What percent of 50 is 20?
Papessa [141]

Answer:

40%

Step-by-step explanation:

20/50

= 2/5

= 0/4

= 40%

3 0
2 years ago
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
What is the slope of the line that passes through the points (-6,-4) and
AveGali [126]

Answer:

0

Step-by-step explanation:

Use slope intercept form: \frac{y_2-y_1}{x_2-x_1}

\frac{-4-(-4)}{-12-(-6)} = \frac{0}{-6} = 0

5 0
3 years ago
Which expression is equivalent to Negative 28 x y 35 y? 7 y (Negative 4 x y 5 y) 7 x (negative 4 x 5 y) 7 x (negative 4 y 5 y) 7
GREYUIT [131]

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a \times b + a \times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression</h3>

The given expression is -28xy + 35y

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)

Thus,

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

Learn more about equivalent expressions here:
brainly.com/question/10628562

3 0
3 years ago
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