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Hatshy [7]
3 years ago
13

The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is

Mathematics
1 answer:
vodomira [7]3 years ago
5 0
a_3=21;\ a_8=56\\\\a_8-a_3=5d\\\\5d=56-21\\5d=35\ \ \ |divide\ both\ sides\ by\ 5\\d=7\\\\a_1=a_3-2d\\\\a_1=21-2\cdot7\\a_1=21-14\\a_1=7\\\\Answer:\boxed{a_1=7}
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The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley
asambeis [7]

Answer:

177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

Time = 12 seconds

Total rise in 12 seconds = Rate of rise of balloon \times Time

\Rightarrow 10 \times 12 = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>

6 0
3 years ago
Feb 05, 3:07:40 PM
zaharov [31]
Solve (2x - 1)(3x^2 - 9x - 4)
=

7 0
3 years ago
Please help!
lakkis [162]

Answer:

A) slope of f(x) = 3 , slope of g(x) = 7

B) y intercept of f(x) is  0  and g(x)  is 2

So g(x) has greater y intercept

Step-by-step explanation:

Lets find equation of f(x) using the given table

LEts take two points from the table (0,0) (1,3)

slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-0}{1-0} = 3

we use equation y=mx+b

where m is the slope and b is the y intercept

we got m = 3, we use (0,0) and find out b

y=mx+b

0 = 3(0) + b

so b=0

So equation for f(x)= 3x +0

slope =3  and y intercept = 0

For equation g(x) = 7x +2 , slope = 7  and y intercept = 2


4 0
3 years ago
Question 7 Unsaved A couch cost $825. If the state has a 10% sale's tax. What was the price of the couch before taxes? Question
Lerok [7]
Okay so I got $742.50

This is what I did :
(1- .10) (825)
= 0.9 (825)
Which gives me $742.59
Hope this somehow helped
7 0
3 years ago
2. A local club had a fundraiser to raise money for 15 different programs. They raised $1,275. The club wants each program to ge
lawyer [7]

Answer:85

Step-by-step explanation: 1,275 divided by 15

8 0
3 years ago
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