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]
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]
for what value of x is d parallel to e?
A) 20
B) 25
C) 35
D) 37
Please help ASAP!!
The question is attached
Answer: A
3/4 equals 6/8 and 9/12 and 12/16
(-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)
Help !! Answer please
Answer:
4
Step-by-step explanation:
answers 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
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:
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:
what 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!
Can someone please help answer this question quickly? :)
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.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+616/8214 x 18. How do you do distributive property?
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:
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 = 9The 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.?
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
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
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
could someone please help me with this
Answer:
E is the correct choice
Step-by-step explanation:
i hope this helps
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
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:
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 youSolve 24 ≤ -6t
The solution is ___
Graph the solution.
Answer:
T < - 4
Step-by-step explanation:
Answer:
t<-4
Step-by-step explanation:
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
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.
HELPPPPPPPPPPPPPPPPPP
Answer:
The answer to this d=0.6t because evry minute it is .6
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?