Find the value of x
(6x+7) (8x-17)
Answer:
x=12
Step-by-step explanation:
6x+7=8x-17
-6x -6x
7=2x-17
+17 +17
24=2x
÷2 ÷2
12=x
x=12
Without the aid of the Wronskian, determine whether the given set of functions is linearly independent or linearly dependent on the indicated interval.
a. f1(x) = ln x, f2(x) = ln x^5, (0, [infinity])
b. f1(x) = x^n, f2(x) = x^n + 2, n = 1, 2, \ldots, (−[infinity], [infinity])
c. f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
d. f1(x) = cos(x + π), f2(x) = sin x, (−[infinity], [infinity])
Answer and Step-by-step explanation:
Solution:
(a) The function. f1(x) = ln x, f2(x) = ln x^5 is linearly independent or not.
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
Consider given function:
f1(x) = lnx f2(x) = lnx5
(b) Set of function f1(x) = x^n, f2(x) = x^n + 2, is linearly independent or not on the interval [-∞, ∞].
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
Consider the given function:
f1(x) = xn f2(x) = xn+2
(c) f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
Function is not linearly independent.
Linear independent theorem states that two functions f1 and f2 are linearly dependent if one can represent as the constant multiple of other.
F1= n.f2
(d) f1(x) = cos(x + π), f2(x) = sin x. [-∞, ∞]
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
The given function:
f1(x) = cos(x + π)f2(x)
Shelton mixed one 1/4 cups of purple cabbage into 3/8 cups of lettuce to make a big salad each day he eats 3/4 of a cup of salad which expression shows how many servings salad Shelton has?
Answer:[tex](1\frac{1}{4} + 2\frac{3}{8} ) / \frac{3}{4}[/tex]
Step-by-step explanation:
What is the equation of the line that passes through the point -5, two and has a slope of -2/5
9514 1404 393
Answer:
y -2 = (-2/5)(x +5)
Step-by-step explanation:
You can put the given values for the point ((h, k) = (-5, 2)) and slope (m = -2/5) into the point-slope form of the equation for a line:
y -k = m(x -h)
y -2 = -2/5(x +5)
_____
This equation simplifies to ...
y = -2/5x
Please Look at the picture
A rectangular swimming pool has a width of 45 feet and an area of 2250 square feet. What is the pool's length?
Answer:
the pools length is 50ft^2
Step-by-step explanation:
A=l*w
2250=l*45 (u do the opposite operation)
2250/45=50
l=50
we know that,
area of the rectangle = L×B
length =area /breadth
length = 2250/45
length= 50 feet
hope it helps u and pls mark it as brainliest
48 on shelves how many on 12 shelves
Answer: 96 books
If 6 shelves have 48 books on them, this is one half of 12 shelves, because 6 is one half of 12 shelves.
There are 12 shelves. So, multiply 48 by 2.
48 x 2 = 96.
Answer to the question = 96
Which of the following points are the solutions to the equation 3 x - 4 y - 8 = 1 2
This is all i can help you
<3
Red
can you explain the standard form of a line in algebra 1 ?
the two Marked angles are congruent yes or no will mark brainest
Answer:
true
Step-by-step explanation:
if the vertical lines are not parallel, then the corresponding angles are not congruent.
8x + 2 = 14x - 76
8x - 14x = -76 -2
-6x = -78
x = 13
8(13) + 2 = 14(13) - 76
106 = 106---- equal
the vertical lines is a bit confusing.... they looks like not a parallel lines
Find the slope of the line
(Please don't answer if you don't know it. It doesn't help at all.)
The slope is -3. Pick any point on the line. For every 1 unit you move to the right, the "next" point on the line is 3 units down.
You can also use the formula for the slope. According to the graph, the line goes through the points, say, (1, -3) and (3, -9). Then the slope is
slope = (-9 - (-3)) / (3 - 1) = (-9 + 3) / (3 - 1) = -6/2 = -3
m∠3 + m∠6 =180° True or False?
Answer:
False. Because it is the answer.
Answer:
false
Step-by-step explanation:
I agree with the first guy
What is-1 5/6 times 6 1/2
Answer:
-11.9166666667
Step-by-step explanation:
Answer:
-11.9166666667
Step-by-step explanation: I just seached it up
90 times 10 the power of 4
Answer:
90000
Step-by-step explanation:
How do you divide 34.2 / 7.6 and show your work
Answer:
9/2
Step-by-step explanation:
first you convert the decimal number into a fraction
34.2/7.6= 171/5 over 7.6
then it becomes 171/5 over 38/5
then you reduce the fraction with five(so you cross out the 5's)
now youre left with 171/38
then you reduce the fraction with 19
now you have 9/2
9/2 is your answer
The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine how many days are equal to 30 hours. 1 day 24 hours 12 hours 12 hours 1 and 1 over 4. days 1 and 1 over 2. days 1 and 3 over 4. days 2 days
Answer:
12 hours + 12 hours and 1 over 4
or 12 + 13 + 1/4 / 6 hours
Step-by-step explanation:
this is true since 1/4 of a day is 6 hours and 30 hours is equivalent to 24 hours plus 6 extra hours..
Answer:
HOURS AND HOURS WHIC IS EQUAL TO 24 WHICH MEANS 1 X 4 IS 4 SO THE ANSWER IS 42
Step-by-step explanation:
An exotic-animal rancher needs to purchase feed for his unicorns. Unfortunately, commercial unicorn feed is not available. The unicornsrequireat least12 milligrams of zinc, 36 grams of protein, and 24 ounces of carbohydrates per day. A small bagof pegasus feed contains 2 milligrams of zinc, 2 grams of protein, and 2 ounces of carbohydrates, and it costs $25. A small bagof hippogriff feed contains 1milligram of zinc, 9 grams of protein, and 3 ounces of carbohydrates, and it costs $20. How many bags of each should the farmer purchase in order to supply the unicorns with the required nutrients for the lowest cost, and what is the minimum cost?
Constraints:
Objective Formula:
Answer:
Do you go to Carnegie?
Step-by-step explanation:
Which expression is equivalent to the distance between -13 and -4 on a number line? I need some help
Answer:
9
Step-by-step explanation:
To solve this count from -4 and -13. So counting, we go -5, -6, -7, -8, -9, -10, -11, -12, and -13. To get from -4 to -13 we counted 9 numbers and that gets you your answer of nine. Hope that helps!
Help fast fast!!! I'm begging
Answer:
28
Step-by-step explanation:
Hope this helps
How do you find equivalent ratios? HELP HELP HELP!!! I NEED THE ANSWERS ASAP!!!
Answer:
multiply or divide both quantities by the same number
Step-by-step explanation:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions
Answer:
1. True
5/7= 0.714285
20/28= 0.714285
2. False
11/13= 0.846
22/25= 0.88
Match each retirement plan to its description.
Offered by a company to employees. ______?
Opened and managed by an individual._______?
Offered by a nonprofit organization to employees.______?
401(k)
IRA
403(b)
Answer:
401(k)IRA403(b)Step-by-step explanation:
The matches are Offered by a company to employees= 401(K).
Opened and managed by an individual = IRA.
Offered by a nonprofit organization to employees is 403(b)
What are the 3 types of retirement?Three types of retirement and how to plan for each
Traditional Retirement.
Semi-Retirement.
Temporary Retirement
By the given data we have to match
Offered by a company to employees= 401(K)
A 401(k) plan is a company-sponsored retirement account to which employees can contribute income.
Opened and managed by an individual is IRA.
An individual retirement account (IRA) allows you to save money for retirement in a tax-advantaged way.
Offered by a nonprofit organization to employees is 403(b)
A 403(b) plan allows employees to contribute some of their salary to the plan.
Therefore the matches are 401(K), IRA and 403(b).
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what is the slope of the line
Help plz asap I really need help with this
Answer:
the only solution is -7
Step-by-step explanation:
i am 95% sure that im right
Answer:
3rd
C
The only solution is -7
Step-by-step explanation:
Approximately 68% of films are rated R. If 800 films were recently rated, how many were rated R?
Answer:
544 movies were rated R... ooop
Answer:
544 movies
Step-by-step explanation:
800/100 = 8 -- to get 1% of the total movies
8*68 = 544 -- multiplied by 68 to get 68%
Setup an equation and solve.
1.The square of a number equals nine times that number. Find the number
9
the square of nine is 81 which is nine times nine
Using the Smith's BBQ Report, liquor sales for both weeks account for approximately what percentage of beverage sales for both weeks?
A 50%
B 40%
C 30%
D 20%
Answer:d
Step-by-step explanation:
If Micah save $150 how much money will his parents give him
Answer:
$300
Step-by-step explanation:
150/5 = 30, 30 x 10 = 300
Point A is at (-2, 4) and point M is at (2.5, 3.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
let [tex] A(-2, 4) = (x_2, y_2) [/tex]
[tex] B(?, ?) = (x_1, y_1) [/tex]
[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]
Rewrite the equation to find the coordinates of B
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
Solve for each:
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]
[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]
[tex] 5 = x_1 - 2 [/tex]
[tex] 5 + 2 = x_1 - 2 + 2 [/tex]
[tex] 7 = x_1 [/tex]
[tex] x_1 = 7 [/tex]
[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]
[tex] 7 = y_1 + 4 [/tex]
[tex] 7 - 4 = y_1 + 4 - 4 [/tex]
[tex] 3 = y_1 [/tex]
[tex] y_1 = 3 [/tex]
Coordinates of point B: (7, 3)
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
Rewrite the equation to find the coordinates of B
Coordinates of point B: (7, 3)
During the 2017 Major League Baseball season, the Detroit Tigers played 162 games . They lost 34 more games than they won. What was the teams win-loss record? Help me please .
Answer:
win: 64
loss: 98
Step-by-step explanation:
win: x
loss: x + 34
win + loss = total games
x + x + 34 = 162
2x + 34 = 162
2x = 128
x = 64
win: 64
loss: (64) + 34 = 98
I need help ASAP please
Answer:
130°
Step-by-step explanation:
Since both of the angles combined are a straight line, this means that when combined they equal 180°.
50 + b = 180
- 50 - 50
b = 130