The value of the function f(-1) is 1/3. Option D
What is a function?A function can be defined as a law, an expression or rule that is used to show the relationship between two variables.
These variables are listed as;
Independent variableDependent variableFrom the information given, we have the function written as;
f(x) = 3ˣ
To determine the function f(-1), we need to substitute the value of the variable x as -1 in the function f(x)
Substitute the values, we have;
f(-1) = 3⁻¹
Take the inverse of the value, we get;
f(-1) = 1/3
Learn more about functions at: https://brainly.com/question/11624077
#SPJ1
If a = b + c and c ___ 0, then a > b.
Choose the relationship symbol that makes a true statement.
=
<
>
To make the expression If a = b + c and c ___ 0, then a > b right, c will be c > 0.
What exactly are expressions?
In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /, and ^) that represents a quantity or a relationship between quantities. It can be number, variable, or combination of both.
Expressions are used to represent mathematical operations, formulas, and relationships. They can be simple or complex, and they can be evaluated or simplified using mathematical rules and operations.
Now,
The correct relationship symbol that makes the statement true is ">" (greater than).
If a = b + c and c > 0, then a will always be greater than b. This is because adding a positive value (c) to b will increase the result (a) above the value of b.
To know more about expressions visit the link
brainly.com/question/13947055
#SPJ1
The inside portion of a cylindrical tank is being filled by one of these three gases: carbon dioxide, helium or chlorine
Answer: helium
Step-by-step explanation:
21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
Which fraction is closest to 1/2
?
The fraction which is closest to 1/2 is, 3/8. So option B is correct
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number 1/2
In decimal form = 0.5
Closest fraction number = ?
Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,
Lets take, A fraction 1/6
In decimal form it can written as, 0.167
Difference 1 = 0.5 - 0.167
= 0.333
Similarly, For numbers 3/8, 3/4, -1/2
Difference 2 = 0.5 - 0.375 = 0.125
Difference 3 = 0.5 - 0.75 = -0.25
Difference 4 = 0.5 - (-0.5) = 1.0
It can be seen that,
Magnitude of difference in case of 3/8 is very less
Hence, the closest number is 3/8
To know more about Fraction check:
https://brainly.com/question/8482939
#SPJ1
Can some one help me with this ASAP
4x - 2y = 12
x + 2y = 8
(to cancel 2y, solve by adding)
4x - 2y = 12
+
x + 2y = 8
4x + x = 5x
-2y + 2y = 0
12 + 8 = 20
5x = 20
÷5
x = 4
Substitute x=4 to one of the equation:
x + 2y = 8
4 + 2y =8
-4
2y. = 4
÷2
y. = 2
Check:
4 + (2x2) does give you 8
Hope this helps!
Y-x=2x-2/3y linear or non linear
The degree of the equation is one. Then the equation y = (9/5)x is a linear equation.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The equation is given below.
y - x = 2x - (2/3)y
Simplify the equation for y, then we have
y + (2/3)y = 2x + x
(5/3)y = 3x
y = (9/5)x
The degree of the equation is one. Then the equation y = (9/5)x is a linear equation.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Simplify 7+5c+4d-8c+d
Step-by-step explanation:
if there is no typo the expression is :
7 + 5c + 4d - 8c + d
to simplify combine all terms with the same variable and exponent of that variable.
so, this is
7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d
Answer:
-3c+5d+7
Step-by-step explanation:
Integrate the following w.r.t x 1) 2x^2/3.
2) (5-x)^23
Answer:
A) \(\int\frac{2x^2}{3}dx=\frac{2x^3}{9}+C\)
B) \(\int(5-x)^{23}dx=-\frac{(5-x)^{24}}{24}+C\)
Step-by-step explanation:
A)
So we have the integral:
\(\int\frac{2x^2}{3}dx\)
First, remove the constant multiple:
\(=\frac{2}{3}\int x^2\dx\)
Use the power rule, where:
\(\int x^ndx=\frac{x^{n+1}}{x+1}\)
Therefore:
\(\frac{2}{3}\int x^2\dx\\=\frac{2}{3}(\frac{x^{2+1}}{2+1})\)
Simplify:
\(=\frac{2}{3}(\frac{x^{3}}{3})\)
And multiply:
\(=\frac{2x^3}{9}\)
And, finally, plus C:
\(=\frac{2x^3}{9}+C\)
B)
We have the integral:
\(\int(5-x)^{23}dx\)
To solve, we can use u-substitute.
Let u equal 5-x. Then:
\(u=5-x\\du=-1dx\)
So:
\(\int(5-x)^{23}dx\\=\int-u^{23}du\)
Move the negative outside:
\(=-\int u^{23}du\)
Power rule:
\(=-(\frac{u^{23+1}}{23+1})\)
Add:
\(=-(\frac{u^{24}}{24})\)
Substitute back 5-x:
\(=-(\frac{(5-x)^{24}}{24})\)
Constant of integration:
\(=-\frac{(5-x)^{24}}{24}+C\)
And we're done!
A rectangular block has a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. Four blocks are stacked to create a tower. What is the volume of the tower? O A. 56 in 3 O B. 140 in 3 O C. 280 in O D. 336 in
The volume of the tower is 224 in³, which is not listed among the given options.
To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.
Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,
V = length × width × height.
In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.
V = 8 × 3.5 × 2 V
= 28 × 2 V
= 56 in³
Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³
For similar question on volume:
https://brainly.com/question/1578538
#SPJ11
If a roof is 30ft 4 in wide & 52 ft 9 in long with 3 inches of water trapped on the roof. how many gallons are trapped on the roof?
Answer:
42,069
Step-by-step explanation:
Solve for x.
8x2 + 5 = 35
Round to the nearest hundredth.
Enter your answers in the boxes.
The solutions are approximately
and
Answer:
1.94 & -1.94
Step-by-step explanation:
I took the test! Hope this helps :)
find the sum of 3/4 and 5/7.
Answer:
3/4 or in mixed number 1 13/28
Step-by-step explanation:
In the following image, segment BD bisects segment AC, and three triangles are similar: AABC~ AADB~ ABDC. Complete the two-column
proof of the Pythagorean theorem.
3: A. (AC)DC) + (AC)(CD) = (AC)AC) + (BC)BC)
B. (AC)(CD) + (AC)(AD) = (BC)BC) + (AB)AB)
C. (AB)(CB) + (AD)CD) = (AC)AC) + (BC)BC)
D. (AC)BC) = (AC)(AC) + (BC)BC)
5: A.angle bisector postulate
B. triangles
C. common line segment
D. segment addition postulate
1. The Fill ups are as follow:
AB² + BC² = AC. AD + AC. CD
2. Segment addition postulate
What is Pythagorean theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
BC/ AC = CD/ BC and AB/ AC = AD/ AB
Now, BC² = AC. CD and AB² = AC. AD
Using, Addition Property of Equality
AB² + BC² = AC. AD + AC. CD
and, AB² + BC² = AC (AD + CD) [factor]
AD + CD = AD (segment addition postulate)
Learn more about Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
PLATO
i got it correct :)
How does an author communicate the characters’ perspective? I WILL GIVE BRAINLYIST AND 100 POINTS
They do through following ways
They use he/she like third person pronouns instead of I/we first persons They locate only one kinds of pronoun for same person throughout the whole literature of their creation inorder to make it easier and realistic.Sometimes they use fictional stories in as part of storyFind the exact circumference of a circle with a radius of 6 m.
Answer: C≈37.7
I do hope that this helps! :)
Answer:
\(12\pi\) inches.
Step-by-step explanation:
We are given that,
The radius of the circle = 6 inches
Since, the circumference of a circle = \(2\pi r\), where r = radius.
Substituting r = 2 in the formula, we get,
Circumference of a circle = \(2\pi\) × \(6=12\pi\) inches
Hence, the circumference of the circle is \(12\pi\) inches.
So, \(12\pi\) is correct.
I need help please thank you
For the point-slope equation, we need the y-intercept and the slope of the line
From the graph, we can see that the y-intercept of the given line is '3'
To find the slope, we will take the line of the graph from (-2,0) to (0,3)
in between these points, we can see that the rise = 3 and the run = 2
Slope = rise / run
Slope = 3/2
Now making the point-slope equation
the general form of these equations is :
y = mx + b (where m is the slope and b is the y-intercept)
Therefore the equation is
y = (3x/2) + 3
Which of the following is equal to the expression listed above?
A.
(14 + 7) × 12
B.
14 + (7 + 12)
C.
(14 + 7) + (7 + 12)
D.
12 × 14 + 12 × 7
Answer:
\((14 + 7) + 12 = 14 + (7 + 12)\)
Step-by-step explanation:
Given
\((14 + 7) + 12\) --- [Missing in question]
Required
Select equivalent expression
\((14 + 7) + 12\)
Associative property states that:
\((a + b) + c = a + (b + c)\)
In this case:
\(a = 14\)
\(b = 7\)
\(c = 12\)
So, we have:
\((a + b) + c = a + (b + c)\)
\((14 + 7) + 12 = 14 + (7 + 12)\)
B. is correct
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
Learn more about functions at: https://brainly.com/question/11624077
#SPJ1
a number is 2 more than 3 times the other number if the is 26 then the number are
Answer:
80
Step-by-step explanation:
more in math means add
if you multiply three by 26 is 78 + 2 would be 80
PSA im not great in math
Solve 6/10 times 1.7 =
Answer:
1.02 or 51/50
Step-by-step explanation:
First we convert the fraction 6/10, as a decimal
6/10 = 0.6
Then we simply multiply
1.7 × 0.6 = 1.02
Lastly we reduce
1.02 = 1 2/100 or 51/50
Question 3 (1 point)
(07.07)
Find the product of (x + 5)2. (1 point)
O a
x2 - 10x + 25
Ob
x² – 25
Oc
x2 + 25
Od
x2 + 10x + 25
Five years older than Mukhari. Find the value of the expression if Mukhari is 43 years old.
36 divided by m over x times 9
Answer:
Step-by-step explanation:
4/mx
Fill in the table of value for the equation y = 2x + 1
Answer:
To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:
x y
0 1
1 3
2 5
3 7
4 9
To get the value of y, we substitute each value of x into the equation and simplify:
When x = 0:
y = 2(0) + 1 = 1
When x = 1:
y = 2(1) + 1 = 3
When x = 2:
y = 2(2) + 1 = 5
When x = 3:
y = 2(3) + 1 = 7
When x = 4:
y = 2(4) + 1 = 9
Therefore, the table of values for the equation y = 2x + 1 is:
x y
0 1
1 3
2 5
3 7
4 9
4x(a-b)+3(b-a) factorise
Answer:
-(a-b) (3-4x). hope this helps
Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.
Answer:
Yes, she is. The exact product of 602 and 341 is 205,282.
Step-by-step explanation:
To determine the exact product of 602 and 341, both numbers must be multiplied, obtaining the result. To do this, said number can be decomposed, to facilitate the operation and to be able to corroborate the accuracy of the result.
So, we can multiply 602 by 300, plus 602 by 40 and 602 by 1, and add the results.
Therefore, since 602 times 300 is equal to 180,600 (602 x 300 = 180,600); that 602 times 40 is equal to 24,080 (602 x 40 = 24,080); and since 602 times 1 is equal to 602, all those values must be added.
So 180,600 plus 24,080 equals 204,680. And in turn, 204,680 plus 602 equals 205,282. Therefore, the proposed result is correct.
CAN SOMEONE PLEASE HELP ME??!!
Answer:
Step-by-step explanation:its ratxrat
...
The zeros of the divisor,
x-3=0,x=3
f(3)=4(3)²-3-3=30
The remainder is 30
Click on the graph to plot a point. Click a point to delete it.
The red dot on the graph is (2, -8)
im falling asleep at the kitchen table bc i have not slept in 3 days and i cant go to bed until its 8 or 9 and its 5:56pm ughhh
Answer:
I hope u can sleep more
Step-by-step explanation:
Answer:
ohhhhhhh
Step-by-step explanation:
yea that sucks but why can't you go to bed until 8-9?????
Without doing any calculations, how can you use the given information to tell which animal mo the fastest? The moves much th moves fastest. The times given are similar, and the in the times given.