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Ainat [17]
3 years ago
13

Can you help

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0
Positive if I looked at graph correctly
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Given that k-5, k+7, k+55 are three consecutive terms in a geometric sequence, solve for k​
choli [55]

Answer:

k = 9

Step-by-step explanation:

Given:

Consecutive Terms:  k-5, k+7, k+55

Required:

Determine the value of k

To do this, we make use of the concept of common ratio.

The common ratio (r) of a geometric sequence is:

r = \frac{T_{n}}{T_{n-1}}

In other words:

r = \frac{T_3}{T_2} = \frac{T_2}{T_1}

Where 1, 2 and 3 represents the terms of the progression/sequence

So:

r = \frac{T_3}{T_2} = \frac{T_2}{T_1} becomes

\frac{k+55}{k+7} = \frac{k+7}{k-5}

Cross Multiply:

(k+55)(k-5) = (k+7)(k+7)

Open Brackets

k^2 + 55k - 5k - 275 = k^2 + 7k + 7k + 49

k^2 + 50k- 275 = k^2 + 14k + 49

Collect Like Terms

k^2 - k^2 + 50k-14k  = 275 + 49

36k  = 324

Solve for k

k = 324/36

k = 9

5 0
4 years ago
X intercept f(x)=(x+4)^2
natali 33 [55]

Answer:

<h2>-4</h2>

Step-by-step explanation:

Given the function f(x)=(x+4)², <u>the x intercept occurs at f(x)  = 0,</u> substituting f(x) = 0 into the given equation to get the value of x we have;

0 = (x+4)^{2} \\

Taking the square root of both sides

\sqrt{(x+4})^{2}  = \sqrt{0}\\ x+4 = 0\\

Subtracting 4 from both sides of the equation

x+4-4 = 0-4\\x = -4

Therefore the x intercept of the equation is -4

4 0
3 years ago
The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard dev
prohojiy [21]
<span>The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. what is the probability that a student uses more than 580 minutes?

Given
&mu;=500
&sigma;=50
X=580
P(x<X)=Z((580-500)/50)=Z(1.6)=0.9452
=>
P(x>X)=1-P(x<X)=1-0.9452=0.0548=5.48%

</span>
7 0
3 years ago
What is the distance apart (-6, -4.7) and (-6, 4.1)
kenny6666 [7]

Answer:

8.8

Step-by-step explanation:

Normally, to find the distance between two points, you would use the distance formula, but these two points have the same x-coordinate, meaning they will form a vertical line when connected. To find the length of a vertical line you find the distance between the y-coordinates, in this case -4.7 and 4.1. Finding the distance is the same as finding the absolute value of the difference:

|4.1 -(-4.7)|

|4.1 + 4.7|

|8.8|

8.8

7 0
3 years ago
Find the value of x.
galben [10]

Answer:

Hope that answers your question, good luck in the future

8 0
3 years ago
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