Answer:
[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]
Step-by-step explanation:
We want to find the linear function given that:
[tex]f^{-1}(2) = -1\text{ and } f^{-1} (-9) = 3[/tex]
Recall that by the definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b\text{ then } f^{-1}(b) = a[/tex]
In other words, f(-1) = 2 and f(3) = -9.
This yields two points: (-1, 2) and (3, -9).
Find the slope of the linear function:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(-9) - (2)}{(3) -(-1)} = -\frac{11}{4}[/tex]
From point-slope form:
[tex]\displaystyle y - (2) = -\frac{11}{4}( x- (-1))[/tex]
Hence:
[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]
We can simplify if desired:
[tex]\displaystyle f(x) = -\frac{11}{4}x -\frac{3}{4}[/tex]
Write four and five hundred eighty-six thousandths as a decimal number.
I AM DESPERate
helpp
Answer:
4.00586
Step-by-step explanation:
yup. so ya.... 20 character reached I hope
8. What's the sum of 38 and 1/16?
A. 4/24
B.1/6
c.7/16
D. 1/4.
Answer:
7/16
Step-by-step explanation:
38 + 1/16 = 38.0625
38.0625 = 7/16
Plz solve the following with steps (people who just come by without answering the question and taking the points may end up as ban)
Answer:
12) 3/5=534 students
13) 2151 kg
14)a)7.1 US$
b)total=10.2 US$
Step-by-step explanation:
12)students who had lunch=2/5*890
=356 students
students who did not have lunch=5/5-2/5
=3/5*890
=534 students
14)a)4pens=180 cents
2 books=5.3$
total=7.1 US$
b)5 pens=225 cnets
3 books=7.95 US$
total=10.2 US$
10)ate=1 over 8
remaining=8/8-1/8
=7/8
after six hours=7/8*2/5
=7 over 20
total ate=1/8+7/20
=14+5 over 40
=19 over 40
remaining=40 over 40 - 19 over 40
= 21 over 40
to dog=21/40 *1/4
=21 over 160
total=19 over 40 +21 over 160
=152+21 over 160
=173 over 160
Sorry I am stucked from here.
SOMEONE HELP ME I MAKE H BRAINLIST
Answer:
0.33 is greater because you can see the box properly and you should be knowledgable
Combine Like Terms
3. What is the simplest expression equivalent to 12xy + 20x - 9 - 11xy - 3x + 15?
-Xy+17-6
xy+23x+24
23xy+17X+6
xy+17X+6
Answer: Fourth Choice. xy + 17x + 6
Step-by-step explanation:
Given
12xy + 20x - 9 - 11xy - 3x + 15
Put like terms together
=12xy - 11xy + 20x - 3x + 15 - 9
Combine like terms through addition/subtraction
=xy + 17x + 6
Hope this helps!! :)
Please let me know if you have any questions
What is the equation of the line that passes through the point (-5,-7)(−5,−7) and has a slope of \frac{2}{5} 5 2 ?
Answer:
y-y1=slope (x-x1)
where x1=-5, y1=-7 and the slope=2÷5
we substitute for x and y
y-(-7)=2÷5{x-(-5)}
y+7=2÷5(x+5)
y+7=(2x+10)÷5 cross multiply
5y+35=2x+10 collect like terms
5y=2x+10-35
5y=2x-25 ......ans
Kim and Tom both cycle to work from their
homes, at the same speed. Kim lives 20 km
away from work, and Tom lives only 15 km
away from work. It takes Kim 1 hour more to
cycle to work than Tom. Determine how long
Tom takes to get to work.
Answer:
3 hours
Step-by-step explanation:
You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.
Time taken by Tom to get office is 3 hour
Given information:
Distance of office from Kim house = 20 km
Distance of office from Tom house = 15 km
Kim take 1 hour more
Find;
Time taken by Tom to get office
Computation:
Assume;
Time taken by Tom = a hour
So,
Time taken by Kim = (a + 1) hour
[tex]Speed = \frac{Distance}{Time}[/tex]
So,
[tex]\frac{20}{(a + 1)}=\frac{15}{a} \\\\20a = 15a + 15\\\\20a - 15a = 15\\\\5a = 15\\\\a = 3[/tex]
So,
Time taken by Tom = 3 hour
Learn more:
https://brainly.com/question/22610586?referrer=searchResults
FIRST CORRECT ANSWER PROVIDING AN EXPLANATION WILL GET BRAINLIEST!!!
Solve the triangle. Round your answers to the nearest tenth.
A. m∠C=63, b=31, c=25.1
B. m∠C=63, b=27, c=26
C. m∠C=63, b=28.1, c=22
D. m∠C=63, b=28.1, c=25.1
9514 1404 393
Answer:
D. m∠C=63, b=28.1, c=25.1
Step-by-step explanation:
The angle sum relation tells you ...
C = 180° -23° -94° = 63°
The law of sines tells you ...
b/sin(B) = a/sin(A)
b = sin(B)·a/sin(A) = sin(94°)·11/sin(23°) ≈ 28.084 ≈ 28.1
Similarly, ...
c = sin(C)·11/sin(23°) = sin(63°)·28.15235 ≈ 25.084 ≈ 25.1
__
C = 63, b = 28.1, c = 25.1
11/12x = -11 pls help
Answer:
=
−
1
2
Step-by-step explanation:
1
1
1
2
=
−
1
1
\frac{11x}{12}=-11
1211x=−11
1
2
⋅
1
1
1
2
=
1
2
(
−
1
1
)
pls pls help me with this triangle, i’ve been doing math for hours now and i just need help with this pls pls thank you
Answer:
Angle B=90 degrees
BA^C= 40 degrees
Step-by-step explanation:
Angle B=90 degrees (right angle =90 degrees)
90+50+BA^C=180
140+BA^C =180
BA^C=180-140
BA^C= 40 degrees
Which statement about 6x^2+7x-10 is true?
One of the factors is (x+ 2)
One of the factors is (3x-2)
One of the factors is (2x+5)
One of the factors is (x-5)
Answer:
One of the factors is (x+ 2)
Step-by-step explanation:
[tex]6 {x}^{2} + 7x - 10 \\ = (6x - 5)(x + 2)[/tex]
another factor is (6x - 5)
WILL MARK BRAINIEST IF FAST!
Kane's Furniture Store advertised a table at a 11% discount. The original selling price was $111, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. No, the sale price was s higher than it should have been
(Round to the nearest cent.)
OB. No, the sale price was $ lower than it should have been
(Round to the nearest cent.)
OC. Yes, the sale price was consistent with the ad, because it represents a 11% discount.
va
Vi
(11)
More
Click to select and enter your answer(s) and then click Check Answer.
Help Me Solve This
View an Example
Get More Help
Clear All
Check
Answer:
A. No, the sale price was 1.21 higher than it should have been
Step-by-step explanation:
First find the discount
111 * 11%
111 * .11
12.21
Subtract this from 111
111-12.21
98.79
The sale price should have been 98.79
100-98.79
1.21
1.2 for each of the following 14 functions list the parent function variety parent equation and describe the transformation
Edge Algebra 2 Q4 Answers:
1. B
2. C
3. A
4. C
5. A
6. D
7. B
8. A
9. D
10. B
Answer:
Step-by-step explanation:
1. C
2. A
3. B
4. A
5. D
6. C
7. A
8. C
9. B
10. D
Help find the x I’m struggling and I need help what is X?
what is sixteen minus two point two?
Answer:
13.8
Step-by-step explanation:
16
- 2.2
Answer:
13.8
Step-by-step explanation:
16 - 2.2 is the question.
WE can split this problem up into 2.
16 - 2 and 1 - 0.2.
16 -2 = 14
1 - 0.2 = 0.8
14 - 1 = 13 ( we subtract by 1 because we added one to 16.)
13 + 0.8 = 13.8
PLEASE MARK ME BRAINLIEST!
--------------------------------------------------------------------------------------------
(or the other way)
16 - 2.2
16 - 2 = 14
14 - 0.2 = 13.8
Select the correct answer.
Solve the quadratic equation given below.
Answer:
x = –2/3 or –20/9
Step-by-step explanation:
(9x+13)² = 49
Finding the square root of both sides
9x+13 = √49
9x+13 = ±7
Subtracting 13 from both sides
9x = 7 – 13 or 9x = -7 –13
9x = –6 or 9x = –20
Divide both sides by 9
x = –6/9 or x = –20/9
Simplifying
x = – 2/3 or x = –20/9
X=7w^2+4w-6
Y=w^2-11w+13
X+Y=
Answer:
X+Y= 8w²–7w +7
Step-by-step explanation:
X+Y= ( 7w²+4w-6 ) + (w²-11w+13)
X+Y= 8w²–7w +7
I hope I helped you^_^
what is the value of the 2 in 3,261? the 3? the 1?
Answer:
The 2 is 200
The 3 is 3000
The 1 is 1
And if needed
The 6 is 60
Step-by-step explanation:
2 is in hundredths place
3 is in thousand place
6 is in tens place
1 is in ones place
hope this helps
Plzzz helppppp!!!!!!!! 20+PTS and brainliest!!!!!!!! Plzzzz show how you got the answer!!!!!!!
Answer:
1) (f+g ) x = (x²-4)+ (x+2) = x²+ x –2
2) (f - g ) x = (x²-4) – (x+2) = (x²-4)+ ( -x - 2) = x²–x–6
3) (f × g ) x = (x²-4)(x+2) = x³+2x²– 4x – 8
4) (f / g) x = (x²-4) / (x+2) = x – 2
5) ( f + g ) 4 = (x²-4)+ (x+2) = ((4²)-4)+ (4+2) = ( 16–4) + (6) = 12+6 = 18
I hope I helped you^_^
What is the area of the triangle?
umi
bosi
4
par
2
con
units
Answer:
A = 4 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 4) (2)
A = 4 units ^2
Answer:
Answer : 4
Area of the triangle = 1/2 • b • h
2 × 2 = 4
.................
brenda bought 8 cupcakes at $1.59 each and 5 pies at $5.99 each . how much more did he spend on pie's than cupcakes
Answer:
17.23
Step-by-step explanation:
Find the cost of the cupcakes
8* 1.59= 12.72
Find the cost of the pies
5*5.99 =29.95
Subtract the cost of the cupcakes from the pies
29.95-12.72=17.23
Answer:
Money spent more on pies than cupcakes = $17.23
Step-by-step explanation:
1 cupcake = $ 1.59
8 cupcakes = 8 * $ 1.59
8 cupcakes = $12.72
1 pie = $5.99
5 pies = 5 * $5.99
5 pies = $29.95
Money spent more on pies than cupcakes = Pies - Cupcakes
Money spent more on pies than cupcakes = $29.95 - $12.72
Money spent more on pies than cupcakes = $17.23
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!
Fill in the statement with always,sometimes,or never to make it true
The quotient of a rational number and an irrational number is ____Rational
The difference between a irrational number and an irrational number is ___ irrational
Answer:
Fill in the statement with always,sometimes,or never to make it true
The quotient of a rational number and an irrational number is never Rational.
The difference between a irrational number and an irrational number is sometimes irrational.
~What will be the resultant sogn if we mutilply 15 negative integers and 6 positive integers
Answer:
Negative.
Step-by-step explanation:
Negative because there are an odd number of negatives.
For Example:
3 negatives:
- * - * -
= + * -
= -
Yousef deposits $425.00 in a savings account that earns a simple interest rate of 3.5% annually. How much interest does Yousef earn after three months? (4 points)
$3.72
$8.92
$8.93
9514 1404 393
Answer:
(a) $3.72
Step-by-step explanation:
The interest is found using the formula ...
I = Prt
where P is the principal invested at rate r for t years. 3 months is 1/4 year, so the interest is ...
I = $425×0.035×1/4 ≈ $3.72
Yousef earns $3.72 after 3 months.
How would I write three times a number plus 5 times a number +4 is 196 as an equation
Answer:
[tex]number = x \\ then \: 3x + 5x + 4 = 196 \\ = 8x + 4 = 196 \\ 8x = 192 \\ x = \frac{192}{8} \\ x = 24 \\ thank \: you[/tex]
Find the area of the shape shown below
Answer:
Here's your answer: 6 units²
Devon is 2 times Sydney's age and sum of their ages =75
Answer:
Devon is 50 and Sydney is 25
Step-by-step explanation:
We know that d + s = 75 and that Devon is two times Sydney's age. This can be represented by 2s + s = 75 (keep in mind that 2s = d). Simplify the equation.
3s = 75
s = 25
Now we can substitute this in the original equation.
d + 25 = 75
d = 50
Best of Luck~
Answer: Sydney=25 Devon=50
Step-by-step explanation:
Sydney's age is represented by x and since Devon is 2 times older (his/her) age would be represented as 2x. So added together would be 3x. So 3x=75. 75/3=25. So x=25 meaning that Sydney is 25 and Devons age is 50 as 25x2=50.
-(7-4x)=9
can somebody help me with this, and if you could, can you show work?
Answer:
x=4
Step-by-step explanation:
Simplifying
-1(7 + -4x) = 9
(7 * -1 + -4x * -1) = 9
(-7 + 4x) = 9
Solving
-7 + 4x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4x = 9 + 7
Combine like terms: -7 + 7 = 0
0 + 4x = 9 + 7
4x = 9 + 7
Combine like terms: 9 + 7 = 16
4x = 16
Divide each side by '4'.
x = 4
Answer:
x = 4
Step-by-step explanation:
-(7 - 4x) = 9 (Given)
-7 + 4x = 9 (Distributed)
-7 + 4x + 7 = 9 + 7 (Add 7 on both sides)
4x = 16 (Simplify)
4x/4 = 16/4 (Divide 4 on both sides)
x = 4 (Simplify)
State the gradient of the line parallel to 3y = 5x – 1.
Answer:
Step-by-step explanation:
3y = 5x -1
y = (5/3)x - ⅓
Slope of line is 5/3.
Slope of any parallel to the line is also 5/3.