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lara31 [8.8K]
3 years ago
6

What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121? k =

Mathematics
2 answers:
masha68 [24]3 years ago
5 0
Plug -3 into the function to get 112+3k=f(-3)=121.
So now can calculate k: 112+3k=121, 3k=9, k=3.
Oduvanchick [21]3 years ago
5 0
Ok to solve for k, take the function f(x) = 112 - kx plug in the x value, so that would be f(-3) now we know that f(-3) = 121 so how to solve for k is quite easy. In replace f(-3) with 121 and x with -3
so 121 = 112 - k(-3) 
solve for k
subtract 112 from both sides
so that would give you 9 = -k(-3)
use the distributive property on -k(-3)
so that would be 3k = 9
divide both sides by 3
which gives you the answer k=3


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8 0
3 years ago
Use the Associative Property of Addition to write an expression equivalent to (n + 2) + 7. Which expression is equivalent to (n
insens350 [35]

Answer:

The correct answer is OB.

Step-by-step explanation:

Let us recall the Associative Property of Addition: given three real numbers a, b and c the following equality holds:

(a+b) + c = a+(b+c).

Let us remark that the Associative Property of Addition tells us that we can perform the sums in any order.  So,

(n+2)+7 = n+(2+7).

In the other options there was used the Commutative Property of Addition.

6 0
3 years ago
Simplify the following radicals. 1. √16 2. √17 3. √18 4. √19 5. √20
Pavel [41]

Answer:

Step-by-step explanation:

1) \sqrt{16}= \sqrt{4*4}=4\\\\\\2)  \sqrt{17}

This is the simplest form as 17 is a prime number.

3)  \sqrt{18}= \sqrt{2*3*3} = 3 \sqrt{2}\\\\\\4) \sqrt{19}

19 is a prime number. so it is the simplest form.

5)  \sqrt{20}= \sqrt{2*2*5}=2 \sqrt{5}

3 0
3 years ago
What is the probability that a phone number generated using the digits 1, 2, 2, 4, 5, 5, 6, and 2 is the number 654-5222
pochemuha

Answer:

336 ways

Step-by-step explanation:

The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.

The number 654-5222 contains 7 digits.

So, we have find The number of permutations for choosing 7 digits from 8 digits given above.

This can be done in following ways

\frac{8!}{3!\times2!} = \frac{40320}{6\times2}

= 336 ways

7 0
3 years ago
What is the y-intercept of the function, represented by the table of values below? x: -2,1,2,4,7 y: 14,8,6,2,-4
anastassius [24]

Answer:

The y-intercept is at y = 10.

Step-by-step explanation:

It will be between y = 14 and y = 7 because the corresponding x values are -2 and 1.

An increase of 3 units of x  gives a decrease of 6 units of y fro the above values.

Then an increase of 1 ( 1 to 2) in x gives decrease in y of 2 (8 to 6). The other values show the same pattern.

So very unit increase in x,  the y values change by -2.

So  from x = -2 to 0 is +2 units for x and this will be -4 units for y  so the y-intercept ( when x = 0) will be at y = 14-4 = 10

y-intercept  is (0,10).


7 0
3 years ago
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