Answer:
x = - 3
Step-by-step explanation:
Given
7(x + 2) = 2x - 1 ← distribute parenthesis on left side
7x + 14 = 2x - 1 ( subtract 2x from both sides )
5x + 14 = - 1 ( subtract 14 from both sides )
5x = - 15 ( divide both sides by 5 )
x = - 3
ANSWER
D. As the x-values increase, the y-values would decrease
EXPLANATION
The given function is

The slope of this function is

Since the slope is negative, there is a negative or an inverse relationship between x and y.
As the values of x increases, the values of y decreases.
Also, as the values of x decreases, the values of y increases.
The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.
For instance, when


This implies that,

Options B is obviously not true because the function has a negative relationship between x and y.
Option C is also false because, x can be positive since it is the independent variable.
See graph
Therefore, the correct answer is option D.
Answer:
a or b
Step-by-step explanation:
if I did the math right it's a but I tried another way and got b, so I'm sorry if that was no help at all
Guppies: u
Goldfish: o
3 times as many guppies as goldfish
3*o = u (there are more guppies than goldfish)
o + u = 20
o = 20 - u
Substitute in (20 - u) for o in the first equation and solve:
3* (20 - u) = u
60 - 3u = u
60 = 4u
u = 15
He has 15 guppies. Then substitute in the number of guppies into either equation to find the number of goldfish:
o + u = 20
o + (15) = 20
o = 5
Hope this helps! :)
Answer:
2.25
Step-by-step explanation:
Given the cost model:
C(l) = l3 – l2 + l + 2.5
l = Length fo package
The length of a package that cost $11.00
11 = l³ - l² + l + 2.5
From the table given :
Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50
Taking l as 2.20
2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508
Taking a slightly higher value :
Put l = 2.25
2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078
Ww can conclude that the length of mail would be 2.25