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Over [174]
4 years ago
8

Determine the function f(x) satisfying the given conditions.

Mathematics
1 answer:
Furkat [3]4 years ago
8 0
<span>f''(x) means function is of grade 1
f(x) = ax + b

f'(x) = a
f'(5) = 1 </span>⇒ a = 1

f(4) = -2
f(4) = 1×4 + b
-2 = 4 + b
b = -6

f(x) = x - 6
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Calculate the value of x in the equation 2x - 15 =5 - 3×
pshichka [43]

\bold{2x - 15 = 5 - 3x} \\  \bold{2x + 3x = 15  +  5} \\  \bold{5x =20 } \\  \bold{x =  \cancel{ \frac {20}{5} }} \\  \bold{x = 4}

Hope it helps

3 0
2 years ago
Read 2 more answers
397 of 514 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected r
Afina-wow [57]

Answer:

z=14.73

p=0.000

for 99% confidence level the null hypothesis is rejected, thus majority of us adults would not bothered if the NSA collected personal records.

Step-by-step explanation:

H_{0}: Half of US adults would not bothered if the NSA collect records of personal telephone calls

H_{A}: Majority of the adults would not bothered if the NSA collect records of personal telephone calls

According to the sample, z-value can be found using the formula:

z=\frac{X-M}{\sqrt{n*p*(1-p)} } where

  • X is the adults, who would not be bothered in the survey (397)
  • M is the mean of the distribution of null hypothesis (257)
  • n is the sample size (514)
  • p is the proportion of the sample, who said they would not bothered ( \frac{397}{514} ≈ 0.77)

Putting these numbers in the formula,

z=14.73  and corresponding p value is p≈0.000

Since p<0.01,  for 99% confidence level we reject the null hypothesis, thus majority of us adults would not bothered if the NSA collected personal records.

8 0
3 years ago
Can someone help me with (Geometry)
igomit [66]

Step-by-step explanation:

I think the fig.. will helps you a lot...

7 0
3 years ago
Find the 16th term , given the first term and the common difference. a1=8 and d=3
sattari [20]
By using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1=8 and d=3,
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3 years ago
Felix decides to establish a budget. He will spend $700 for rent, $325 for food, $420 for child care,
stiks02 [169]

Answer:

98$ in savings

Step-by-step explanation:

If you do all the spending combined you would do $700+$325=$1025 $420+$182=$602 add those = $1627+$300=$1927  if his monthly take-home pay is $2025 you would have to do $2025-$1927=$98 remanding.

5 0
3 years ago
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