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True [87]
4 years ago
11

Help me pleeeeeeeeeaze

Mathematics
1 answer:
kobusy [5.1K]4 years ago
5 0

a(x+3) < 5x+15-x\\\\ax+3a < 5x+15-x\\\\ax+3a < 4x+15\ \ \ |-3a\\\\ax < 4x+15-3a\ \ \ \ |-4x\\\\ax-4x < 15-3a\\\\(a-4)x < 15-3a\\\\\text{The solution is all real numbers if}\ a-4=0\ \ \ |+4\\\\\boxed{a=4}\\\\\text{Check:}\\\\4(x+3) < 5x+15-x\\4x+12 < 4x+15\ \ \ \ |-4x\\12 < 15\ TRUE\to x\in\mathbb{R}

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Is the given value of the variable a solution of the equation: 16 - u = -4; u = 20
lawyer [7]

Answer:

a. yes

Step-by-step explanation:

If 16 - u = -4 and u = 20:

16 - 20 = -4

The equaton is correct, therefore the given value of u is the solution to the equation.

3 0
3 years ago
Read 2 more answers
Yvette is considering taking out a loan with a principal of $16,200 from one of two banks. Bank F charges an interest rate of 5.
umka21 [38]
Hi there
First find the monthly payment of each offer to see which monthly payment is lower
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value
PMT monthly payment
R interest rate
K compounded monthly 12
N time
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]

Bank F
PMT=16,200÷((1−(1+0.057÷12)^(
−12×8))÷(0.057÷12))
=210.53

Bank G
PMT=16,200÷((1−(1+0.062÷12)^(
−12×7))÷(0.062÷12))
=238.21

From the above the monthly payment of bank f is lower than the bank g
And since the lifetime of bank g is lower than bank f the answer is
b. Yvette should choose Bank F’s loan if she cares more about lower monthly payments, and she should choose Bank G’s loan if she cares more about the lowest lifetime cost.

Good luck!


6 0
3 years ago
If polygon ABCD is moved right 3 and up 2, what would the new coordinates of vertex D?
Mnenie [13.5K]
B (1,0). -2 + 3 = 1. -2 + 2 = 0.
8 0
3 years ago
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. How much does it cost to ride this
Furkat [3]

Answer:

try using this it might help out with the question

Step-by-step explanation:

Y=2x+3

4 0
4 years ago
A computer manufacturer spends $2,000 per day in operating costs. The company realizes a profit of $385 for each computer (x) so
mariarad [96]

Answer:

$2000

Step-by-step explanation:

the profit would be determined by how many computers are involved, so that would vary

3 0
3 years ago
Read 2 more answers
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