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Lisa [10]
3 years ago
8

Given f(x) = x^2 + kx -15, and the remainder when f(x) is divided by x-2 is -23, then what is the value of k?

Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Answer:

k=-6

Step-by-step explanation:

f(2)=-23, 4+2k-15=-23. 2k=-12. K=-6

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Please help! Correct answer only! This assignment is due today.
vichka [17]

Answer:

  0.2601

Step-by-step explanation:

There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.

There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.

So, the probability of interest is ...

  252/969 ≈ 0.2601

_____

nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n

5 0
3 years ago
In 2016, 600 individuals became infected with the dengue virus in a town of 60,000 people in Brazil. Out of those infected, 50 p
tatuchka [14]

Answer:

A. 0.083%

Step-by-step explanation:

Total population=60,000

Total infected=600

Percentage of total infected=600/60,000×100

=0.01×100

=1% of the total population

50 people died out of total infected

Percentage of death of total infected=50/600×100

=8.33%

Total death from all causes=110

Percentage of total death from all causes to the total population=110/60,000×100

=0.1833%

Proportionate mortality rate(PMR) of dengue in the population can be calculated as:

Percentage of death from total infected to the total population

=50/60,000×100

=0.0833%

Approximately 0.083%

8 0
4 years ago
Given that the triangles are similar, find the value of x. Find the length of NR.
lorasvet [3.4K]

Given:

Figure of similar triangles.

To find:

The value of x and the measure of NR.

Solution:

In triangle RST and RMN,

\angle SRT\cong \angle MRN              (Vertically opposite angles)

\angle RST\cong \angle RMN              (Alternate interior angles)

\Delta RST\sim \Delta RMN                 (By AA property of similarity)

We know that, corresponding sides of similar triangles are proportional.

\dfrac{RS}{RM}=\dfrac{RT}{RN}

\dfrac{40}{8}=\dfrac{60}{2x-2}

5=\dfrac{60}{2x-2}

2x-2=\dfrac{60}{5}

On further simplification, we get

2x=12+2

x=\dfrac{14}{2}

x=7

The value of x is 7.

Now,

NR=2x-2

NR=2(7)-2

NR=14-2

NR=12

Therefore, the value of x is 7 and the measure of NR is 12 units.

8 0
3 years ago
What is the inverse of the function y=-8x+15?
frez [133]

Answer:

y = (x-15)/-8

Step-by-step explanation:

When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.

y = -8x + 15

x = -8y + 15

x-15 = -8y

(x-15)/-8 = y

6 0
3 years ago
Read 2 more answers
Variable b is 7 more than variable c. Variable b is also 1 less than variable c. Which pair of equations best models the relatio
fenix001 [56]
I believe the correct answer is:
b = c - 1; b = c - 7
8 0
4 years ago
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