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telo118 [61]
3 years ago
9

What is the first term for an arithmetic sequence with a12 = 56 and a21=101?

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0
The first term is -43.

Explanation:

an = a + (n - 1)d

a12 = a + 11d = 56, first equation
a21 = a + 20d = 101, second equation

Subtract the second equation from the first equation, cancelling +a and -a
11d - 20d = 56 - 101
-9d = -45
d = 5

Subtitute d into the first equation
a + 99 = 56
a = -43

a refers to the first term, hence the first term is -43.
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The table shows the battery life of four different mobile phones:
tekilochka [14]
Answer: Phone C

Using quick mental math, we can do 8% of 10 to get 0.8, which is close to the value of 0.0845*10. Also fairly quick is moving the decimal point over 1 spot to the right and we go from 0.0845 to 0.845 and that rounds to 0.8 when rounding to one decimal place. Recall that 8.45% = (8.45/100) = 0.0845

If you want to compute out the four results with a calculator, then it would look like this:
0.0845*20 = 1.69
0.0845*25 = 2.1125
0.0845*10 = 0.845
0.0845*18 = 1.521
and this shows that no other result (but choice C) is close to 0.8

So that's why the answer is choice C
5 0
3 years ago
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3 years ago
Hallar la ecuación de la recta que pasa por los puntos A(1,3) y B(3,7). Representarla gráficamente. Indicar su pendiente.
Fynjy0 [20]

Answer:

<h2>A</h2>

Step-by-step explanation:

la recta:

y-yo=m(x-xo) (*)

P=(xo,yo)

m=\frac{Ya-Yb}{Xa-Xb}

substituindo:

m=\frac{3-7}{1-3}\\\\m=2

Seja P=A=(xo=1,yo=3), utilizando a formula (*)

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3 0
2 years ago
Select all of the following tables which represent y as a function of x.x 5 10 11y 3 9 15x 5 10 11y 3 9 9x 5 10 10y 3 9 15
11Alexandr11 [23.1K]

Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

<em>Table 2</em>

x 5 10 11

y 3 9 9

<em>Table 3</em>

x 5 10 10

y 3 9 15

Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

<em>Table 2</em>

x 5 10 11

y 3 9 9

Note that the x rows are unique as no value were repeated;

Hence, Table 2 is a function

<em>Table 3</em>

x 5 10 10

y 3 9 15

Note that the x rows are not unique because 10 was repeated twice;

Hence, Table 3 is not a function

7 0
3 years ago
Michael ran 3 miles in 24 minutes. What is his average running speed in miles per hour?
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Answer:

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Step-by-step explanation:

See the step-by-step solution in the picture attached below.

I hope this answer will help you. Have a nice day !

7 0
3 years ago
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