Answer:
The inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]
Step-by-step explanation:
[tex]f(x)=8x+10[/tex]
We need to find inverse of the function.
For finding inverse of function,
let [tex]y=8x+10[/tex]
Now, solving to find value of x
Subtracting 10 on both sides
[tex]y-10=8x+10-10\\y-10=8x[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{y-10}{8} \\x=\frac{y-10}{8}[/tex]
Now replace y with x and x with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)=\frac{x-10}{8}[/tex]
So, the inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]
Answer:
The answer is [tex]f^(-1)(x)= (x^(2) - 10)/(8), x > =0[/tex]
Solve: 8 + b/2 = 14 HELPPPPPPPPPPPPPPPPP
Answer:
b = 12
Step-by-step explanation:
subtract eight from both sides to leave the b variable on the left
b/2 = 14 - 8
b/2 = 6
multiply by 2 on both sides to leave b by itself
b = 6 * 2
b = 12
Answer:
12
Step-by-step explanation:
8 + b/2 = 14
b/2 = 14 -8
= 6
b = 6 x 2
= 12
Therefore b is 12. Hope this helps you and pls mark me as brainliest <3
2) Hector scored 3/5 of the goals on soccer team. If his team scored a total of 35 goals during the season, how many goals did Hector score? Type your answer as a number only. Your answer
Answer:
21
Step-by-step explanation:
1/5 * 35 = 7
7*3 = 21
3) Write an equation with a slope of 6 and a y-intercept of 3:
4) Write an equation with a slope of 1.5 and a y-intercept of -5:
An airplane descends at a rate of 2,700 feet per minute. once the airplane starts its descent, what will be its change in elevation after 312minutes?
The airplane that descends at a rate of 2,700 feet per minute, after 3 1/2 minutes it will be at 9450 ft
The formula and procedure we will use to solve this problem is:
v= x/t
Where:
x = distancet = timev = velocityInformation about the problem:
x = ?t = 3 1/2 minv = 2,700 ft/minConverting the mixed fraction to a fraction, we get:
3 1/2 =
[(3*2) + 1]/2 =
(6+1) / 2 =
7/2
3 1/2 min is equivalent to 7/2
Applying the velocity and isolating the distance we have:
x= v*t
x = 2700 ft/min * 7/2 min
x = 9450 ft
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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Form A polynomial whose real zeros and degree are given.
What polynomial has zeros of -5,-1.2,5 and degree of 4?
The polynomial function has zeroes as given by x=0
In general, given zeroes of a polynomial function, a, b, c, and d, we can write the function as the multiplication of the factors
(x-a), (x-b), (x- c), and (x-d) then the degrees are 4
simply:
f(x)=(x-a) (x-b) (x- c) (x-d)
In this case, we can show that each of a, b, c, and d are zeroes of the function:
f(a)=(a-a) (a-b) (a-c) (a-d)
= (0) (a-b) (a-c) (a-d)
=0
f(b)=(b-a) (b-b) (b-c) (b-d)
=(b-a) (0) (b-c) (b-d)
=0
f(c)=(c-a) (c-b) (c-c) (c-d)
=(c-a) (c-b) (0) (c-d)
=0
f(d)=(d-a) (d-b) (d-c) (d-d)
=(d-a) (d-b) (d-c) (0)
=0
since the value of the function at x=a, x=b, c, and d are equal to 0, then the function
f(x)=(x-a) (x-b) (x- c) (x-d) has zeroes at a, b, c and d
with the generalized form, we can substitute for the given zeroes,
x=-5, x=-2,0and 5 where a=-5, b=-2, c=0 and x=5
f(x)=(x-(-5)) (x-(-2)) (x-0) (x-5)
simplifying gives:
f(x)=(x+5) (x+2) x(x-5)
from here, we can put it in standard polynomial form by foiling the right side:
f(x)=x^3+2x^2-25x-50
To double-check the answer, just plug in the given zeroes, and ensure the value of the function at those points is equal to 0.
f (-5) =x^3+2x^2-25x-50
=(-5)^3+2(-5)^2-2(-5)-50
f (-5) =0
f (-2) =(-2)^3+2(-2)^2-2(-2)-50
f (-2) =0
f (0) =0
f (5) =(5)^3+2(5)^2-2(5)-50
=0
Hence, the function has zeroes as given by x=0.
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Which expression can be used to find the product of 320? (3 points)
0 (3 x 2) × (3 x 5)
(3 x 9) * (3 x 5)
(4 x 7) x (2 x 5)
(4 x 8) X (2 x 5)
Will be marked!
Answer:
( 4 x 8) x (2 x 5)
32 x 10
320
I WILL GIVE BRAINILEST
which expression shows a sum of three terms?
3x
3 + x
3 + x + 9
x3
Answer:
the answer would be the third option. its the only thing that has 3 terms
Step-by-step explanation:
3+x+9
Answer:
3+x+9 is the sum of three terms
24 men in a room 1/2 wearing red shirt 1/3 wearing green shirt the rest are wearing blue shirt
Answer:
12 red shirts
8 green shirts
4 blue shirts
Step-by-step explanation:
1/2 of the 24 people are wearing red shirts
Of means multiplication, so...
1/2 * 24 = 24/2 = 12, and do the same for the rest!
Answer:1/2 of 24= 24/2=12
1/3 of 24= 24/3=8
12+8=20
24-20=4
Step-by-step explanation:
Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on X right so far. Select all the expressions to show the number of tickets that Thomas has left. A. 80-5x B. 80+5x C. 5(16+x) D.-5x+80 E. 5(16-x)
Answer:
A. 80-5x
Step-by-step explanation:
Let the number of rides be represented by = x
Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on x right so far.
The number of rides Thomas has been on so far= 5 × x = 5x
The expressions to show the number of tickets that Thomas has left is written as:
80 - 5x
Option A is the correct option.
Answer: clown and watch me and watch all my videos
Step-by-step explanation:
In rhombus ABCD, AC = 18, and BD = 24, what is the
length of one side of the rhombus?
B
1) 30
2) 42
3) 15
4) 21
Answer:
15
Step-by-step explanation:
Here, given the diagonals of the Rhombus, we want to get the length of one side of the Rhombus
We proceed to use the formula below;
d1 = √(4a^2-d2^2
Where d1 represents the length of one diagonal
a is the side of the Rhombus
d2 is the length of the second diagonal
Thus, mathematically;
d2^2 = 4a^2 - d1^2
4a^2 = d2^2 + d1^2
4a^2 = 18^2 + 24^2
4a^2 = 900
a^2 = 900/4
a^2 = 225
a = √225
a = 15
a grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16 which number could be the number of packages of flour tortillas the clerk put on the shelf?
Answer:
1222222222
Step-by-step explanation:
Each small square on the grid is 1 ft squared.
Which estimate best describes the area of this figure?
A. 25 ft2
B. 35 ft
C. 50 ft2
D. 65 ft2
Graph the inequality 2x-5y > 10. Which ordered pair is a possible solution?
Answer:
3×6=
68
56
46
78
56
87
986786
given -2 1/3 x -5.15 determine the product.
The resulting product of the expression is 12.017
Product of fractionsFractions are written as a ratio of two integers
Given the following expression
-2 1/3 x -5.15
Convert to improper fraction to have:
-7/3 * -515/100
3605/300
12.017
Hence the resulting product of the expression is 12.017
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Pls help I’m so bad dependent variables. I’ll give BRAINLIEST answer if you get it right. And pls number it like
1.
2.
3.
Answer:
Develop the concept of flat and solid shapes with your students. This unit has 12 shape activities that include whole group, small group and differentiated math ...
Step-by-step explanation:
To the nearest tenth, what is the value of x?
A. 3.5
B. 4.8
C. 5.9
D. 7.3
E. 9.8
Answer:
D, I think, pls don't report if im wrong
Step-by-step explanation:
suppose that verania and josimar are roommates that need to complete some household chores. vacuuming and washing dishes need to be done. they know from the last time they did these chores that it takes verania 2 hours to vacuum and 1 hour to wash dishes. it takes josimar 3 hours to vacuum and 2 hours to wash dishes. josimar says it does not matter which task each of them performs because verania is faster at both tasks.
It is wrong. Because Verania has a comparative advantage in washing dishes, she should wash dishes, and Josimar should vacuum.
Having an absolute advantage in both things does not mean that Verania has a Comparative advantage in both as well.
They should find out which activity they both have a comparative advantage in and focus on that. The activity that costs the least opportunity cost is the one they have a comparative advantage.
Verania
Opportunity cost of vacuuming = 2 / 1 = 2 hours of washing dishes
Opportunity cost of washing = 1/2 = 0.5 hours of vacuuming
Josimar
The opportunity cost of vacuuming = 3/2 = 1.5 hours of washing dishes
Opportunity cost of washing = 2/3 = 0.66 hours of vacuuming
Verania has a comparative advantage in washing dishes while Josimar has a comparative advantage in vacuuming.
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Which of the below is the only correct
similarity statement for the two triangles?
Can you please awnser this
Answer:62 degrees
Step-by-step explanation: BAC and DAF are equivalent
Statement: 4x < 0
Which is greater? 1 or x
Answer:
1 is greater than x
Step-by-step explanation:
4x < 0
x<0-4
x< -4
x={ -5,-6,-7,-8,-9,-10,.............}
so {-5,-6,-7,-8,-9,-10,-.............} are lesser than 1
hence 1 >x 0r 1 is greater than x
Find the missing side of this right triangle
Answer:
x ≈ 14.7
Step-by-step explanation:
use pythagorean therorem
a^2 + b^2 = c^2
c is hypotenuse and we know the hypotenuse is 21
a^2 + b^2 = c^2
x^2 + 15^2 = 21^2
x^2 + 225 = 441
x^2 = 216
x = √216
x ≈ 14.7
Solve the System of Equations using Substitution or Elimination. State your final
answer as an ordered pair (x,y) *
-3x + 10y = -15
5x - 7y = -4
Answer:
(- 5, - 3 )
Step-by-step explanation:
Given the 2 equations
- 3x + 10y = - 15 → (1)
5x - 7y = - 4 → (2)
Multiplying (1) by 5 and (2) by 3 and adding the result, eliminates the x- term.
- 15x + 50y = - 75 → (3)
15x - 21y = - 12 → (4)
Add (3) and (4) term by term to eliminate x, that is
29y = - 87 ( divide both sides by 29 )
y = - 3
Substitute y = - 3 into either of the 2 equations and solve for x
Substituting into (1)
- 3x + 10(- 3) = - 15
- 3x - 30 = - 15 ( add 30 to both sides )
- 3x = 15 ( divide both sides by - 3 )
x = - 5
solution is (- 5, - 3 )
What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box.
Step-by-step explanation:
where is the line? pls share it
..................................................................................................
Answer:
age to for the pooiiinntss
Answer:
.................................................................................................
Which of the following tables has a slope of zero?
Answer:
A
Step-by-step explanation:
1. Use the distance formula (FOR COORDINATES) to find the distance between A(-6, 4) and B(5,-3).
Answer: [tex]\sqrt{170}[/tex]
Step-by-step explanation:
Distance formula: a^2+b^2=c^2 where c is the distance between two points
(-6-5)^2 + (4-(-3))^2=c^2
(-(6+5))^2 + (4+3)^2=c^2
(-11)^2 + 7^2=c^2
121 + 49=c^2
c^2=170
c=[tex]\sqrt{170}[/tex] ==> distance between A and B
Please please help if possible I love you thank you so much!!!❤️❤️❤️ due really soon
Step-by-step explanation:
There is no question here
Answer: Help with what? You forgot to link your question
Step-by-step explanation:
There is a line whose y intercept is 3 and whose slope is 6. What is its equation in slope-imtercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 6x + 3
Step-by-step explanation:
Equation of the line
------------------------------------------------------
The equation of the line in slope-intercept form is:
y = mx + b
Being m the slope and b the y-intercept.
Where m is the slope and (h,k) is a point through which the line passes.
We are given the y-intercept as b=3 m=6.
Thus, the equation of the line is:
y = 6x + 3
Someone please help me with this! Pick the correct choice
Write the expression in simpliest form WILL GIIVE BRAINLIEST
3 (2x - 3)
Answer: The answer is 6x–9, please mark me as brainliest and have a wonderful weekend. :D
Step-by-step explanation: