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3 years ago

Given f(x) and g(x) = k·f(x), use the graph to determine the value of k

Mathematics

1 answer:

k0ka [10]3 years ago

4 0

Answer:

$k=-5$

Step-by-step explanation:

If we observe the graph carefully there are two on each of the graphs highlighted at x=-2.The functions take the following values at that x.

$f(-2)=2$

$g(-2)=-10$

given the condition

$g(x)=k*f(x)$

put $x=-2$

we get . $-10=k*2$

$k=-5$

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Nana76 [90]

Answer:

7/36

Step-by-step explanation:

find the LCD write all the numerators above the least common denominator

LCD is 36

4 +3 /36 =7/36

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3 years ago

Find x<br> (4+25)<br> (6x+20)<br> (3x+25)

Paraphin [41]

Answer: 15

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

$3x+25+6x+20=180\\\\9x+45=180\\\\9x=135\\\\x=\boxed{15}$

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2 years ago

Round each whole number to the given place value.

Kazeer [188]

We have to round each whole number to the given place value.

We have to round the number 437 to the tens place.

Since the digit at the tens place is 3.

Since the digit at its previous place that is ones place is '7' which is greater than 5.

Therefore, we can round the number 437 to 440.

Now, consider the another number 64,328, we have to round this number to the nearest ten thousand place.

Since the digit at ten thousands place is 6.

And the digit at its previous place that is, at thousands place is 4.

Since this number is less than 5.

Therefore, the given number will round to 60,000.

4 0

4 years ago

Find the product of the greatest common divisor and the least common multiple of 18 and 42.

Evgesh-ka [11]

The product of the greatest common divisor and the least common multiple of two numbers is always the product of the two numbers. So, you have

$\text{lcm}(18,42)\times\text{GCD}(18,42)=18\times 42=756$

5 0

3 years ago

A weight clinic recorded the weight lost (in pounds) by each client of a weight control clinic during the last year, and got the

borishaifa [10]

Answer:

Class interval ____, Frequency _ C/frequency

1 - 10 ____________ 1 _________ 1

11 - 20 ___________ 4 _________ 5

20 - 30 __________ 6 _________ 11

31 - 40 ___________3 _________ 14

41 - 50 ___________ 1 _________ 15

51 - 60 ___________ 1 _________ 16

Step-by-step explanation:

Given the data :

35, 26, 31, 17, 46, 30, 28, 21, 26, 34, 15, 27, 7, 18, 16, 57

Class interval ____, Frequency _ C/frequency

1 - 10 ____________ 1 _________ 1

11 - 20 ___________ 4 _________ 5

20 - 30 __________ 6 _________ 11

31 - 40 ___________3 _________ 14

41 - 50 ___________ 1 _________ 15

51 - 60 ___________ 1 _________ 16

The next to highest frequency group has a frequency of 4 and the highest frequency of 6

Total frequency, n = (1 + 4 + 6 + 3 + 1 + 1) = 16

5 0

3 years ago