Solve for xx.
2 answers:
Answer:
E. All values of x are solutions
Step-by-step explanation:
- -15x + 4 ≤ 109
- -6x + 70 > -2
Solve for x in the first equation. Subtract 4 from both sides.
-15x ≤ 105
Divide both sides by -15. Since this is a negative number the sign will flip.
x ≥ -7
Solve for x in the second equation. Subtract 70 from both sides.
-6x > -72
Divide both sides by -6; the sign flips.
x < 12
Since this is an OR problem we won't be combining the two solutions for x. Therefore you would graph x ≥ -7 and x < 12 separately.
The graph would look like this: (image attached)
Since the two lines cross pathways to cover the entire number line, this means that there are infinite values of x.
The answer should be E.
Answer:
E All values of x are solutions
Step-by-step explanation:
-15x + 4 ≤ 109 OR -6x + 70 > -2
We will solve the left inequality first
-15x + 4 ≤ 109
Subtract 4 from each side
-15x +4-4 ≤ 109 -4
-15x ≤ 105
Divide by -15 Remember to flip the inequality
-15x/-15 ≥ 105/-15
x ≥-7
Now we solve the right side
-6x + 70 > -2
Subtract 70 from each side
-6x + 70 -70> -2-70
-6x> -72
Divide by -6 Remember to flip the inequality
-6x/-6< -72/-6
x < 12
Since this is an OR
x ≥-7 OR x < 12
This covers the entire number line
x is all real numbers
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Answer:
25.48 days
Step-by-step explanation:
For a radioactive substance, the Amount of the substance remaining A(t) is modeled by the equation
where
In the given problem:
Half Life of the Radioactive Isotope = 8
Initial Amount, =100%=1
A(t)=11% =0.11
Therefore substituting in the model above:
The farmer need to wait for 25.48 days
Answer:
y = 48
Step-by-step explanation:
given y is directly proportional to x then the equation connecting them is
y = kx ← k is the constant of proportionality
To find k use the condition y = 36 when x = 30
k = =
=
y = x ← equation of proportionality
When x = 40 then
y = × 40 = 48