Answer:
a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]
Step-by-step explanation:
a) We evaluate the function at [tex]x = 2[/tex]:
[tex]f(2) = 2\cdot (2) + 1[/tex]
[tex]f(2) = 4+1[/tex]
[tex]f(2) = 5[/tex]
b) First, we determine the inverse of the function by algebraic means:
1) [tex]y = 2\cdot x + 1[/tex] Given
2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property
3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property
4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties
6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality
7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division
8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result
c) Now we evaluate the expression obtained on b) at the given number:
[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]
[tex]f^{-1} (7) = 3[/tex]
n +-6 = 11
Please answer!
Answer:
n = 17
Step-by-step explanation:
+(-6) is the same thing as n - 6 = 11 to take out the + sign in order to avoid confusion. Add 6 on both sides to get your n value which is 17.
Answer:
Step-by-step explanation:
here you go mate
step 1
n +-6 = 11 equation/Question
step 2
n +-6 = 11 add 6 to each side
n-6(+6)=11(+6)
answer
n=17
I need help please :'v
Answer:
Slope = 2
Step-by-step explanation:
[tex]\frac{-8-8}{-6-2}=\frac{-16}{-8}=2[/tex]
Answer:
2
Step-by-step explanation:
using formula given y2-y1/x2-x18-(-8)/2-(-6)8+8/2+616/82answers for the 2 boxes please
Answer:
(4,9)
Step-by-step explanation:
y = 2x + 1
y = x + 5
2x + 1 = x + 5
2x - x = 5 - 1
x = 4
y = x + 5
y = 4 + 5
y = 9
Check:
(4,9) ? Yep
Which solution shown below contains an error?
3
4
3x
4
3x+4
?
ਦੇਸ਼ ਦੇ
1
+2
2
x+2
1
x+1
+2
2
3
+
21-12
8x+8
(x+1)(x-6) * (x+1)(x-6)
+1
- 8
1px-4
(+1)(-6)
Answer:
B
Step-by-step explanation:
1/x+2 + 1/x+2 = 2/x+2 = 1/x+1.
Help !! Answer please
Answer:
4
Step-by-step explanation:
jan has a 12-ounce milkshake.Four ounces in the milkshake are vanilla,and the rest is chocolate.What are two equivalent fractions that represent the fraction of the milkshake that is vanilla
Answer:
In this item, we are given that out of 12 ounces of ingredients comprising the milkshake, there are 4 ounces vanilla. Expressing this into fraction will give us an answer of 4/12. This fraction can be one of the answers. Since we are asked for two fractions, we can simplify 4/12 such that we get an equivalent fraction that is equal to 2/6. Hence, the answers to this question are 4/12 and 2/6.
Step-by-step explanation:
A rectangle is 2 times longer than it is wide. The diagonal of the rectangle is 15 cm. What is the width of the
rectangle?
The table below shows the temperature changes
Monday morning in Bedford, New York over a 4-hour
period after a cold front came through.
a. If the beginning temperature was -10°F at 5:00 a.m.,
what was the temperature at 9:00 a.m.?
20\left(-1.5r+0.75\right)20(−1.5r+0.75)20, left parenthesis, minus, 1, point, 5, r, plus, 0, point, 75, right parenthesis
Answer:
wet
Step-by-step explanation:
fart
Answer:
3.25
Step-by-step explanation:
did on khan
Solve This Proportion Y/23= -3/4
Answer:
y = -17.25
Step-by-step explanation:
y/23 = -3/4
by cross multiplication ❌ ;;;
4×Y = 23× (-3)
4y = (-69)
y = -69/4
y = -17.25I hope that this answer helps youwhat is the value of k used to find the coordinates of a point that partitions segment into ratio 5:3?
Answer:
(5+3 = 8)
Step-by-step explanation:
The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio (5+3 = 8).
I really need help please!
3.75x-5-8.75X+4.5+0.5
Step-by-step explanation:
3.75x-5-8.75x+4.5+0.5
=3.75x-8.75x+4.5+0.5-5
=-5x+5-5
==-5x
14 x 18. How do you do distributive property?
OK!!! I NEED HELP AGAIN AND ITS HONESTLY SUPER EASY :/ I DONT KNOW WHY IM NOT doing it BY MYSELF BUTTTTT---- GIVING BRAINLIEST, FIVE STARS AND THANKSSS!
Which measurement is most accurate to describe the amount of water a bucket could hold?
3 gallons
5 pints
30 fl. oz.
10 cups
Answer:
3 gallons
Step-by-step explanation:
Please help ASAP!!
The question is attached
Answer: A
3/4 equals 6/8 and 9/12 and 12/16
could someone please help me with this
Answer:
E is the correct choice
Step-by-step explanation:
i hope this helps
Math PLS (I'll try to give brainlest)
Answer: The function is non-linear. Linear functions need to be straight
What are the leading coefficient and degree of the polynomial?
- 4x - 10x +3 - 10x2
Answer:
10x^2-4x-10x+3
leading C is 10
D is 2
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPP
Answer:
The answer to this d=0.6t because evry minute it is .6
for what value of x is d parallel to e?
A) 20
B) 25
C) 35
D) 37
Arjun's piggy bank contains two kinds of coins and two kinds of bills. there are twice as many $1 bills like $5 bills. the number of quarters is 1 more than three times the number of $5 bills. and the number of dimes is 7 less than the number of quarters. how many of each type of bill and coin does Arjun have if the total is $39.90?
Answer:
$5 bills x 5, $1 bills x 10, quarters x 16, dimes x 9Step-by-step explanation:
$5 bills = x, total = 5x$1 bills = 2x, total = xQuarters = 3x + 1, total = 0.25(3x + 1)Dimes = 3x + 1 - 7= 3x - 6, total = 0.1(3x - 6)Equation below as the sum, solve for x:
5x + 2x + 0.25(3x + 1) + 0.1(3x - 6) = 39.97x + 0.75x + 0.25 + 0.3x - 0.6 = 39.98.05x - 0.35 = 39.98.05x = 40.25x = 40.25/8.05x = 5Number of each bill and coin:
$5 bills = 5$1 bills = 2*5 = 10Quarters = 3*5 + 1 = 16Dimes = 3*5 - 6 = 9(-3, -7). 1/7 what is the equation in point slope form
Answer:
y+7 = 1/7(x+3)
Step-by-step explanation:
Point slope form of a line is given by
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
(y - -7) = 1/7(x - -3)
y+7 = 1/7(x+3)
Solve for x in the following equation
2^(8x-8)=4^7x
Answer:
-4/3
Step-by-step explanation:
2^(8x-8)=4^7x
2^8x-8=4^7x
2^8x-8=4^2×7x
8x-8=2×7x
8x-8=14x
-8=14x-8x
-8=6x
-8/6=x
-4/3=x
x=-4/3
This recipe makes 10 portions of porridge.
Complete the amount of each ingredient that is needed to make just 7 portions.
Recipe: Serves 10
350 g oats
1.4 l milk
70 g sugar
PLEASE HELPP
Answer:
245g oats
0.98L milk
49g sugar
Step-by-step explanation:
350÷10=35
1.4÷10=0.14
70÷10=7
35×7=245
0.14×7=0.98
7×7=49
how do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2
Answer:
The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.
Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.
The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)
The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)
Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.
Step-by-step explanation:
err i dont know U>U here you go peeps
Answer:
[tex] {x}^{2} + {y}^{2} + 4x - 2y = - 1 \\ ( {x}^{2}+2\times2\times x + {2}^{2} ) - 4 + ({y}^{2} - 2 \times 1 \times y + {1}^{2} ) - 1 = - 1 \\ {(x + 2)}^{2} - 4 + {(y - 1)}^{2} - 1 = - 1 \\ {(x + 2)}^{2} + {(y - 1)}^{2} = 4\\ {(x + 2)}^{2} + {(y - 1)}^{2} = {( 2) }^{2} [/tex]
Therefore, the centre of the circle is in ( -2, 1 )
and the radius of the circle is 2.
Formula used :-----
[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]
equation of the circle
where r is the radius of the circle.
(A) 2 is the right answer.5/7 x 14/20
Snannan
Answer:
[tex] \frac{1}{2} \: or \: 0.5 [/tex]
Step-by-step explanation:
[tex] \frac{5}{7} \times \frac{14}{20} = \frac{5 \times 14}{7 \times 20} [/tex]
It can be also written as -
[tex] = > \frac{5 \times 14}{20 \times 7} = \frac{5}{20} \times \frac{14}{7} = \frac{1}{4} \times 2 = \frac{1}{2} [/tex]
Can someone please help answer this question quickly? :)
Solve 24 ≤ -6t
The solution is ___
Graph the solution.
Answer:
T < - 4
Step-by-step explanation:
Answer:
t<-4
Step-by-step explanation: