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Dennis_Churaev [7]
2 years ago
14

Billy has x marbles. Write an expression for the number of marbles the following have… a) Charlie has 5 more than Billy b) Danny

has 8 fewer than Billy c) Eric has three times as many as Billy
Mathematics
1 answer:
tankabanditka [31]2 years ago
8 0

Answer:

  1. Charlie: 5 + x
  2. Danny: x - 8
  3. Eric: x × 3

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Find the value of k such that lim-->4 (x^2+x-k)/(x-4) exists
7nadin3 [17]

Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

6 0
2 years ago
4. In the accompanying diagram, AABC – ADEF, DE = x + 2, DF = x+8, AB = x-3, and AC = x. Determine, algebraically, the value of
alexira [117]
Danggg that is sooo longgg I feel bad for you
3 0
3 years ago
Determine the mean, median, mode, and range for the data set:
s2008m [1.1K]

Answer:

Step-by-step explanation:

Mean (Average): 8

Median (Middle): 8

Mode (Most Common): 8

Range (Biggest - Smallest): 7

6 0
3 years ago
For the following pair of functions, find (f+g)(x) and (f-g)(x).
ch4aika [34]

Given:

The functions are

f(x)=4x^2+7x-5

g(x)=-9x^2+4x-13

To find:

The functions (f+g)(x) and (f-g)(x).

Solution:

We know that,

(f+g)(x)=f(x)+g(x)

(f+g)(x)=4x^2+7x-5-9x^2+4x-13

(f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)

(f+g)(x)=-5x^2+11x-18

And,

(f-g)(x)=f(x)-g(x)

(f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)

(f+g)(x)=4x^2+7x-5+9x^2-4x+13

(f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)

(f-g)(x)=13x^2+3x+8

Therefore, the required functions are (f+g)(x)=-5x^2+11x-18

and (f-g)(x)=13x^2+3x+8.

7 0
3 years ago
The measurement of an acute angle is (5w+8) solve for w​
laiz [17]

Answer:

w < 82/5

Step-by-step explanation:

5w + 8 < 90

5w < 82

w < 82/5

6 0
2 years ago
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