Answer: they have the same number in them for example -4 and 4
Step-by-step explanation:
Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−[infinity], [infinity]). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} = $$ Correct: Your answer is correct. Determine whether f1, f2, f3 are linearly independent on the interval (−[infinity], [infinity]).
9514 1404 393
Answer:
(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of tNOT linearly independentStep-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
Mercury is one of only two elements that are liquid at room temperature. Mercury is nonliquid for
temperatures less than -38.0°F or greater than 673.8°F. Write a compound inequality for the temperatures
at which mercury is nonliquid.
Answer:
greater than 673.8°F. Write a compound
Step-by-step explanation:
what is 5/8x+4=3/8x+12
Answer:
x = 32
(The answer should be 32 if we are solving for x)
which is an appropriate estimate for the following 62,372/29?
Answer:
=62372/29
=2150.758621 ans.
mark me brainlist plz.
Answer:
Step-by-step explanation:
62,372/29 = about 2150
3. A random sample of 100 people was taken. There were sixty people who favored Brand A. We are interested in determining whether or not the proportion of the population in favor of Brand A is significantly more than 55%. At a 0.05 level of significance, it can be concluded that the portion of the population in favor of Brand A is ____. a. Significantly greater than 60% b. Not significantly greater than 55% c. Not significantly greater than 60% d. Significantly greater than 55% e. None of the above
Testing the hypothesis, it is found that the correct option is:
b. Not significantly greater than 55%.
At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:
[tex]H_0: p \leq 0.55[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:
[tex]H_1: p < 0.55[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]
[tex]z = 1.01[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.
Looking at the z-table, z = 1.01 has a p-value of 0.8438.
1 - 0.8438 = 0.1562.
The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.
A similar problem is given at https://brainly.com/question/24330815
step by step explanation, please
Answer:
[tex]a=\displaystyle \frac{k}{w+v}[/tex]
Step-by-step explanation:
Hi there!
[tex]\displaystyle \frac{k}{a} =w+v[/tex]
Multiply both sides by a:
[tex]a*\displaystyle \frac{k}{a} =a(w+v)\\\\k=a(w+v)[/tex]
Divide both sides by (w+v):
[tex]\displaystyle \frac{k}{(w+v)} =\displaystyle \frac{a(w+v)}{(w+v)}\\\\\displaystyle \frac{k}{w+v} =a[/tex]
I hope this helps!
Solve for x: 34= -2
x= ????
Answer:
You haven't typed the equation correctly
x=-17
Step-by-step explanation:
******Please help me help please help me ******
9514 1404 393
Answer:
-19/7
Step-by-step explanation:
If the variation is direct, any multiplier of the m-value will also multiply the f-value.
old value × 1/7 = new value
m: 14 × 1/7 = 2
f: -19 × 1/7 = -19/7
The new value of f is -19/7.
I’m doing my math homework and I don’t understand it all. I did most of it in class but I don’t get it still so here’s the question
Question:
-4/3(3q -10)
Answer:
-4q+ 40/3
Step-by-step explanation:
Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they
meet in 5 hours, what is the rate of the slower car?
Do not do any rounding.
Answer:
57 kph
Step-by-step explanation:
5x + 5(x-12) = 750
10x = 690
x = 69
Slooow car = 57 kph
what is 240.50 x 19.54
Answer:
240.50 x 19.54= 4699.37
Four balls of wool will make 8 knitted caps. How many balls of wool Malcome needs if he wants to make 6 caps?
Answer:
3 balls of wool
Step-by-step explanation:
8/4=2
6/2=3
please help me with this sum
its upsidedown what are you doing
What is the equation of the line that has a slope of 3 and a y-intercept of 2?
The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.
Using the slope and y intercept given the equation is:
Y = 3x + 2
Solve equation for 3(2x - 5) - (2x - 5) = 6(4x + 5)
Answer:
the answer is negative two / x= -2
_________
[tex] \: [/tex]
[tex] \rm3(2x - 5) - (2x - 5 ) = 6(4x + 5)[/tex]
[tex] \rm6x - 15 - 2x - 5 = 24x + 30[/tex]
[tex] \rm4x - 20 = 24x + 30[/tex]
[tex] \rm4x - 24x = 30 + 20[/tex]
[tex] \rm - 20x = 50[/tex]
[tex] \rm \: x = \frac{50}{ - 20} [/tex]
[tex] \rm \: x = \boxed{ - 2 \frac{1}{2} }[/tex]
A line passes through the point (2,8) and has a slope of 7
Answer:
y=7x-6
Step-by-step explanation:
Use point-slope equation.
y-y1=m(x-x1)
y-8=7(x-2)
y-8=7x-14
y=7x-6
How u do this djiejejeoeowoekrkk
hi, can you help me here pls?
...
...
rick haskins is payed $18 an hour as a pastry chef for a regular 35-hour week his over time rate is 1.5 times his regular hourly rate this week he worked his regular 35 hours plus 8 hours of overtime what is ricks total pay
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
it is 9 centimeters
Step-by-step explanation:
it is a 1:1 ratio
I need help with this
Answer:
Your answer is C. x=6 I hope this helps you! :D
If you need i can also provide steps.
Answer:
C. x=6
Step-by-step explanation:
You can work it out as follows:
6 - 0.2x = 2(6 - 0.6x) =>
6 - 0.2x = 12 - 1.2x =>
-0.2x + 1.2x = 12 - 6 =>
1.0x = 6 =>
x = 6
What is the least common denominator for the fractions 1/3and2/9?
Answer:
LCD= 9
Step-by-step explanation:
1/3 = 3/9
2/9 = 2/9
A scuba diver is descending at an average rate of 39.8 feet per minute.
What value represents the scuba diver's elevation relative to sea level after 2.9 minutes?
Enter your answer in the box.
ft
Plzzzz help I will give u brainly
Answer: 115.42 ft
Step-by-step explanation:
Writing Describe another method
for solving the expression in
Exercise 1. Does this method always
work? Explain.
Answer: pontos livres
Step-by-step explanation:
o cachorrinho wwss veyry rápido
For a standard normal distribution, find:
P(z < 2.51) =
Answer:
P(z < 2.51) ≈ 0.994
Step-by-step explanation:
P(z < 2.51) = normalcdf(-1e99,2.51,0,1) = 0.9939634253 ≈ 0.994
Show how to use a power of 10 to write 42.66 / 2.97 as an equivalent expression with a whole number divisor
PLEASE HELP DUE TONIGHT!!
WILL MARK BRAINLIEST!!
Expressing the given equation as a power of 10 with the divisor expressed as an whole number can be written as [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Given the expression :
42.66/2.97Expressing the numbers as a power of 10 :
Dividend = 42.66 Divisor = 2.97To convert the divisor to a whole number :
Multiply both by 100
Dividend = 42.66 × 100Divisor = 2.97 × 100 = 297Expressing dividend as a power of 10 :
Dividend = 42.66 × 100 = 42.66 × 10²Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Learn more : https://brainly.com/question/18796573
Please help out with this question
Step-by-step explanation:
5⁴+5³-6(5)²-5(5)-15
= 560
PLEASE HELP!!! i don’t know the answer and it’s due tmr!!
look at the image of the graph
There are three sizes of pizza, three of crust, and ten toppings. If you Order one size, one type of crust, and one topping, how many pizza choices are there?
3+(-5)+9-12÷2
lol easy