Answer:
the geometric sequence is the one involving 8's
Step-by-step explanation:
Answer:
She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job
Step-by-step explanation:
Given
From the question, we have that:
She can only work for 20 hours.
This implies that:
To work 2ce as many hours at the high paying job than the low paying job; implies that:
So, we have:
Required
Number of hours at each job
Substitute in
Solve for x
Substitute in
<em>She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job</em>
A case of lemonade cost $14 and a case of fruit punch cost $4.
Step-by-step explanation:
Let,
A case of fruit punch = x
A case of lemonade = y
According to given statement;
6x+4y=80 Eqn 1
6x+5y=94 Eqn 2
Subtracting Eqn 1 from Eqn 2
Putting y=14 in Eqn 1
Dividing both sides by 6
A case of lemonade cost $14 and a case of fruit punch cost $4.
Keywords: Linear equation, Subtraction
Learn more about linear equations at:
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Answer: 4x^2*(3x^3 - 1 + 4x)
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Work Shown:
The GCF of the coefficients 12,-4,16 is 4
The GCF of the variable terms is x^2 since this is the smallest variable term that is found in each of x^5, x^2 and x^3
Overall, the GCF is 4x^2.
Factor each term in terms of the GCF
12x^5 = (12)*(x^5)
12x^5 = (4*3)*(x^3*x^2)
12x^5 = (4x^2)*(3x^3) <--- call this equation (1)
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4x^2 = (4x^2)*(1) <--- call this equation (2)
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16x^3 = (4*4)*(x^2*x)
16x^3 = (4x^2)*(4x) <--- call this equation (3)
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Using those individual factorizations, we can apply the distributive property to factor out the GCF
12x^5 - 4x^2 + 16x^3
(4x^2)*(3x^3) - 4x^2 + 16x^3 ... substitute equation (1)
(4x^2)*(3x^3) - (4x^2)*(1) + 16x^3 ... substitute equation (2)
(4x^2)*(3x^3) - (4x^2)*(1) + (4x^2)*(4x) ... substitute equation (3)
4x^2*(3x^3 - 1 + 4x) ... use the distributive property
Therefore, 12x^5 - 4x^2 + 16x^3 factors to 4x^2*(3x^3 - 1 + 4x)
This means, 12x^5 - 4x^2 + 16x^3 = 4x^2*(3x^3 - 1 + 4x) is a true equation for all real numbers x.
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