Choose the graph below that represents the following system of inequalities: y ≥ −3x + 1 y ≤ 1 over 2x + 3
2 answers:
The complete question in the attached figures N 1 and N 2
we have that
<span>the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3
using a graph tool
see the attached figure N 3
the answer is the option
</span><span>B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.</span>
we have that
<span>the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3
using a graph tool
see the attached figure N 3
the answer is the option
</span><span>B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.</span>
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Answer:
The calculated t- value = 1.09 > 3.19 at 0.025 level of significance
Null hypothesis is rejected
There is sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given the mean of the Population(μ) = 419 grams
The sample size 'n' =19
Given mean of the sample x⁻ = 412
Given variance of the sample S² = 784
S = √784 = 28
<u><em>Step(ii)</em></u>:-
<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.
<u><em>Alternative hypothesis: H₁:</em></u>
There is sufficient evidence to support the claim that the bags are underfilled.
Test statistic
t = -1.09
|t| = |-1.09|
<em>Degrees of freedom ν = n-1 = 19-1 =18</em>
<em>t₀.₀₂₅ = 3.19</em>
<u><em>Final answer:</em></u><em>-</em>
The calculated t- value = 1.09 > 3.19 at 0.025 level of significance
Null hypothesis is rejected
There is sufficient evidence to support the claim that the bags are underfilled
Answer:
Step-by-step explanation:
First, let's start with what we have. If we use here's what we can put in:
Then we can use one of the given points to find the y-intercept. Since the only complete one is (12,10), we'll use that.
So now we have .
Now we can use our other point with the missing y-value and solve for y.
So the missing value is 64.
Hope this helps!
Answer:
x^3+3x^2+9x+27
Step-by-step explanation:
_____
The factoring of the difference of squares is used (twice):
a² -b² = (a -b)(a +b)