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faltersainse [42]
3 years ago
13

Bella solves the equation 4(x + p) = 12, where p is a constant. He states that solution to the equation is x = -5. Determine the

value of p that makes Bella statement true and explain your reasoning

Mathematics
1 answer:
liq [111]3 years ago
4 0

Answer:

P=3

Step-by-step explanation:

To solve for p, we can simply substitute his answer in place of x, changing the equation to 4(-5+p)=12. Now we just have to solve it.

1. Apply the distributive property. We can do this by multiplying 4 by -5 and p. Our equation is now -20+4p=12

2. Add 20 on both sides. Since the 20 is negative, we would add it on both sides, canceling out the -20 and leaving us with the equation 4p=32.

3. Now divide 12 by 4. We want to get p alone by itself, so we divide both sides by 4, leaving us with the solution p=3.

Hope this helps! :D

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The graph of which equation below is a horizontal line?
pochemuha

Answer:

2

Step-by-step explanation:

The equation of a horizontal line is y = c

where c is the value of the y- coordinates the line passes through

Thus y = 3 ← is the equation of a horizontal line

4 0
3 years ago
If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n
pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the \sum^\infty_{n=0}C_n8^n is convergent

Therefore,

(a)  \sum^\infty_{n=0}C_n(-3)^n The power series \sum C_nx^n has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3

∴ \sum^\infty_{n=0}C_n(-3)^n  is convergent.

(b) \sum^\infty_{n=0}C_n(-8)^n -8 could be right on the edge of the interval of convergence, and so might not converge

8 0
3 years ago
Find the highest odd number that is a factor of 40 and a factor of 60.
Arte-miy333 [17]

Answer:

HCF (HIGHEST COMMON FACTOR) OR GCF ( GREATEST COMMON FACTOR) OF 40 AND 60 IS 20.

8 0
3 years ago
Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run
4vir4ik [10]

I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"

Answer and Explanation:

There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week

To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.

49 weeks×5 shifts= 245 shifts per operator per year

365×3 shifts= 1095 shifts per year

1095/245=4.5 operators per shift

total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14

total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928

3 0
3 years ago
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kiruha [24]
I think the answer to your question is
3,942,000
7 0
3 years ago
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