Combine like terms
-6x² + (-x²) = -6x² - x² = -7x²
-7x² + 15x + 4 is your answer
hope this helps
Answer:
x = 37 mm
Step-by-step explanation:
using the Pythagorean theorem:
m² = 13² - 5² = 169 - 25 = 144
m = √144 = 12 mm
x² = 12² + 35² = 144 + 1225 = 1369
x = √1369 = 37 mm
Answer:
Step-by-step explanation:
Given that Home sales has 95% confidence interval to estimate the average loss in home value.
a) If std deviation of losses doubles as 3000 from 1500, we have margin of error also increases. Because margin of error
= ±Critical value * Std error
= ±Critical value * Std dev/sqrt n
Hence we find that whenever std deviation increases the margin of error increases, for the same level of confidence.
b) Whenever confidence level increases, critical value increases and as a result margin of error increases. Hence by reducing from 95% to 90% confidence interval would be reduced. True
c) Instead of changing conf level, increasing sample size would give more reliale and accurate results.
Answer:
- 2 trees ($200 from either service)
- c=100+50t
- c=80+60t
Step-by-step explanation:
It can work well to solve problems like this by considering how many times the difference in per-tree costs it takes to make up the difference in one-time costs.
Here the difference of one-time costs is $20, and the difference in per-tree costs is $10, so it takes the pruning of 2 trees for the per-tree cost difference to equal the one-time cost difference (2×10 = 20).
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The cost equations are ...
cost = (one-time cost) + (per tree cost) × (number of trees)
c = 100 + 50t . . . . . company A
c = 80 + 60t . . . . . . company B
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If you use these equations to solve the problem, you want to find t such that the two costs are equal:
100 +50t = 80 +60t
(100 -80) = t(60 -50) . . . . . . . subtract 80+50t, factor out t
(100 -80)/(60 -50) = t . . . . . . . looks a lot like the verbal description above
The difference in fixed price divided by the difference in per-tree cost) is the number of trees required to make costs equal.
Answer:
14
Step-by-step explanation:
PLUG 8 in for n. Use the order of operations to evaluate. 26-3(8+8)/4=
becomes: 26-3(16)/4=; multiply 3 x 16 = 48, use order of operations to divide 48/4=12. Then problem becomes: 26-12 = 14.
