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Ugo [173]
2 years ago
12

What is the slope of the line that passes through the points (-15,7) and (14,7)

Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0
The slope of the line that passes through the points (-15,7) and (14,7) is 0
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The common ratio of a geometric series is 1/4 and the sum of the first 4 terms is 170.
Illusion [34]

Answer: the first term of the series is 128

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = a(1 - r^n)/(1 - r)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1/4 = 0.25

n = 4

S4 = 170

Therefore, the expression for the sum of the 4 terms, S4 is

170 = a(1 - 0.25^4)/(1 - 0.25)

170 = a(1 - 0.00390625)/(1 - 0.25)

170 = a(0.99609375)/(0.75)

170 = 1.328125a

a = 170/1.328125

a = 128

5 0
3 years ago
the cost of 6 sandwhiches and 4 drinks is $53. the cost of 4 sandwhiches and 6 drinks is $47. how much does one sandwhich cost
Blizzard [7]

6s+4d=$53

4s+6d=$47

Multiply 6 in the first equation which is

36s+24d=$318

Multiply -4 in the second equation which is

-16s-24d=$-188

Then..

36s+24d=$318

-16s-24d=$-188

You cancel out the -24d and +24d

36s=$318

-16s=$-188

Do the math..

20s=$130

Divide 20 by both sides and answer...

s=$6.5

5 0
3 years ago
How do I find the critical points?
podryga [215]
Critical points is where the derivative (slope) is zero or does not exist. So to do this we have to find the derivative of our function:

\frac{d}{dx}(x^{2} - 1)^{3}

So we apply chain rule:

= 3(x^{2} - 1)^{2} * 2x

Set our first derivative to zero and solve for x:

3(x^2 - 1) * 2x = 0

So we can see that (by plugging in) 0, -1 and 1 makes our solution true

So our critical value is x = 0, x = -1, x = 1
5 0
3 years ago
Your reading material states that many banks pay interest that is calculated
Step2247 [10]
Carry on... There is not sufficient information to answer
3 0
3 years ago
What’s the correct answer
ale4655 [162]

45x=11\qquad\text{divide both sides by 45}\\\\\boxed{x=\dfrac{11}{45}}=0.2\overline{4}\\\\Answer:\ \boxed{x\approx0.24}

7 0
3 years ago
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