PLS HELP
Evaluate the piecewise function at the indicated values from the domain
Answers
==========================================================
Explanation:
Piecewise functions are admittedly a bit confusing at first if you aren't familiar with them.
However, they aren't too bad. Effectively we have two functions going on depending on what the input is.
If the input x is less than 0, then we go for the top row and say [tex]f(x) = x^2[/tex]
OR
If the input x is greater than 0, then we go for the bottom row to say [tex]f(x) = \sqrt[3]{x}[/tex]
-------------------------------
In this case, the input is x = -8. So we go for the first row since this x value satisfies x < 0.
We would then say:
[tex]f(x) = x^2\\\\f(-8) = (-8)^2\\\\f(-8) = 64\\\\[/tex]
Which points us to choice A as the final answer.
Answer:
f(-8) = 64
Step-by-step explanation:
Input -8 into one of the formulas (either will work) and the answer should be 64. therefore, if x is -8, f(-8) would equal 64.
Related Questions
If 90° < θ < 180° and cscθ = 3, then cotθ = _____.
Answers
[tex]\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2[/tex]
Estimate. Then divide. check for reasonableness 25,600 divided by 25.
Answers
Answer:
Step-by-step explanation:
Evaluate.
10 3/4 plus 8 3/4 subtract 6 1/2
Answers
Answer:
13
Step-by-step explanation:
add 3/4 and 3/4 to get 6/4 then get 1/2 times the bottom and the top but 2 to get 2/4 so then do 6/4 - 2/4 to get 4/4 or 1
add 10,8 to get 18 then subtract 6 to get 12 then all the 1 and you get your answer. Hope this helped
Answer:
13
Step-by-step explanation:
Convert 10 3/4
to an improper fraction.
43/4 + 8 3/4 − 6 1/2
Convert 8 3/4
to an improper fraction.
43/4 + 35/4 − 6 1/2
Convert 6 1/2
to an improper fraction.
434 + 354 − 132
Combine fractions.
78/4 + −13/2
Simplify each term.
39/2 − 13/2
Combine fractions.
13
Jason stands in the corner of a very large field. He walks, on a bearing of 030°,
a distance of d metres. Jason then changes direction and walks twice as far on a new
bearing of 120°. At the end of the walk Jason calculates both the distance he must
walk and the bearing required to return to his original position. Given that the total
distance walked is 120 metres, what answers will Jason get if he is correct?
Answers
Answer:
Step-by-step explanation:
d + 2d = 120
3d = 120
d = 40 m
east distance was 40cos30 + 80cos120 = -5.35898 m
north distance was 40sin30 + 80sin120 = 89.282032
as 30° and 120° bearings are 90° apart, Jason needs to walk
D = √(d² + (2d)²) = d√5 or 40√5 meters or about 89.44 m to return to his original position.
we could also use √(-5.35898² + 89.282032²) = 89.44 m
direction will be
θ = arctan -89.28/5.359 = -86.565° or a bearing of 273.4°
1/3(6-9j)
PLEASE HELP!!!
Answers
Answer:
2-3j
Step-by-step explanation:
Distribute 1/3 to the rest of the equation and you'll get 2-3j
I hope this helps!
1/3x6/1 = 6/3
1/3x-9j=-9j/3
6/3-9j/3
what is the sum of 2/3,1/2and1/4=
Answers
Answer:
17/12
Step-by-step explanation:
In order to add fractions, you have to have a common denominator. The denominators in these fractions are 3, 2, and 4 (the bottom numbers). To get a common denominator, figure out what number all three of them can go into. Their common factor would be 12 because all three numbers go into 12.
Multiply each numerator in the fraction (the top number) by how much it takes to get from our current denominators (3,2,4) to our final denominator (12).
For example, in 2/3 we know that 3 times 4 equals 12. Multiply the top number by 4 to get 8/12.
In 1/2 we know that 2 times 6 equals 12. Multiply by 6 to get 6/12.
In 1/4 we know that 4 times 3 equals 12. Multiply by 3 to get 3/12.
Add the fractions to get 17/12.
Derivative of tan^2 x
Answers
Answer:
[tex]2sec^2xtanx[/tex]
Step-by-step explanation:
[tex]\frac{d}{dx} tan^2x[/tex]
[tex]\frac{d}{dx} tanxtanx[/tex]
[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]
[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]
[tex]2sec^2xtanx[/tex]
Helpful tips:
Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]
Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]
Pythagorean Identity: [tex]cos^2x+sin^2x=1[/tex]
As a restaurant, you and four friends divide the bill evenly. Each person pays $7.35. How much is the total bill?
Answers
Answer:
29.4
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2750.
What was the rate charged per hour by each mechanic if the sum of the two rates was $205 per hour?
-Whats the First mechanic: $ -----per hour
-Whats the Second mechanic: $ ---- per hour
Answers
Two mechanics worked on a car, The first mechanic worked for 20 hours and the second mechanic worked for 5 hours together they charged a total of $1150.
Let's make,
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr
please help! ASAP I need help fast!!
Answers
Answer: 4.8
Explanation: divide total needed of blue paint (3) by 1/2 to find the ratio, which is 6. then multiply that by 4/5 to get the total of yellow paint, which is 4.8
The quotient of 2 numbers, p and q
Answers
Answer:
2p/q
2q/p
q/p=2
p/q =2
Step-by-step explanation:
Here are some possible answers. The way your statement is formated in does not ask a question nor does it provide enough information for one to deduce what the question was.
How many solutions does the system of equation have?
2x + 3y = 9 and y = 2/3x - 2
A.
One solution
B.
Two solutions
C.
Infinitely many solutions
D.
No solutions
Answers
Answer:
A. One solution
Step-by-step explanation:
y = 2/3x - 2 has slope of 2/3
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3 has slope of -2/3
lines with different slopes have only ONE intersection
A room has a rectangular floor 5.5 m long and 4.5 m wide. The room is 2.5 m in height.
A. What is the area of wall space in the room?
B. How much paint is required to paint the
walls with two coats if one litre of paint
can cover 11.25 m??
Answers
Answer:
Length=8 m,Breadth=6 m,Height=3 m
We know,
LSA=2(l+b)×h
LSA=2×14×3=84 m
2
Therefore, cost of painting = 84×60=Rs.5040.
If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?
Answers
Answer:
6 or -1.5
Step-by-step explanation:
We can let this integer be x.
Therefore, according to the question we have:
[tex]2x^2-18=9x[/tex]
Subtracting 9x, we have a quadratic:
[tex]2x^2-9x-18=0[/tex]
Plugging into the quadratic equation:
[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]
the square root of 81+144 is 15, so the answer is either 6 or -1.5
an expression that is equivalent to 10x - 8 +0.5(2x - 3)?
-
Answers
Answer:
......................
How many days are in 52 weeks?
Answers
Answer:
A year but -1.
Step-by-step explanation:
52x7=364.
Hope this helps!
Answer:
there are 364 days in 52 weeks.
Step-by-step explanation:
To find out how many days are in 52 weeks you have to multiply the amount of days there are in a week by 52, there are 7 days in a week and 7 times 52 is 364 so the answer is 364
A jet travels 1198 miles against the wind in 2 hours and 1438 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the jet wind?
Rate of the jet still in the air: x mi/h
Rate of the wind: x mi/h
Answers
Answer: tbh jets arent really a good way to travel man. you better start walking ur lazy butt and get movin.
Step-by-step explanation:
Find the measure of the angle marked and indicated in bold
Answers
1 divided by 11/2 as a fraction
Answers
Answer:
1.375 decimal to fraction.
2/7 Fraction to Decimal
Step-by-step explanation:
Need help with question please!
Answers
Answer:
You got this just keep trying i know you can do it even if it is really hard
Step-by-step explanation:
can retainers still fit w a small gap?
Answers
Answer:
Retainers have been designed to be used as an end of treatment to help retain your teeth in their new position. ... These are removable and fixed retainers. The reason why retainers can't be used to close a gap is because they are fitted at the end of treatment and are made to fit the straight teeth mould.
hope it help u
itz by Riddhi
Answer:
yes
Step-by-step explanation:
Y=3x-1 i need help now right now.
Answers
Y intercept is -1
Slope is 3
PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!
Answers
Answer:
120
Step-by-step explanation:
5x6 = 30
30x4= 120
A video game is on sale for 30% off the
regular price of $50. What is the sale
price of the video game
A.$20
B.$30
C.$33
D.$35
Answers
Answer:
d! 35 ......!!!!!!!!!!!!
Write an equation in point-slope form for the line that passes through the given points (1,-3),(4,-15)
Answers
slope-intercept form is y=mx+b
to find m, which is the slope, we used
m=(y2-y1)/(x2-x1) (rise over run)
=(-15-(-3)/4-1)
= -12/3
= -4
to find b, choose one of the points and use the slope -4 and plug it in:
y=m(x)+b
-3= -4(1)+b
-3= -4+b
1=b
Answer: b=7
Step-by-step explanation:
How do I find the degree measure?
Answers
Answer:
The Degree Measure of the Angle = Radian x (180/)
what is the equation of a line whose slope is -2 and whose y-intercept is 4?
Answers
Answer:
y=-2x+4
Step-by-step explanation:
if y is 4..it means x intercept is 0
gradient is -2
and we know gradient is the change in y /change in X
so: we let the second intercepts to be (x,y)
so y-4/x-0=-2
multiply by x-0 both sides then collect like terms together
it will be y= -2x+4
solve the inequality 2x+2-6x<32
Answers
x>−15/2
15/2 is a fraction
If 20 students have only airpods,
10 students only have beats, and 30
students have beats in total how
many students have both beats and
airpods?
Answers
Answer:
There should be 20 students that have both Beats and AirPods.
Step-by-step explanation:
There are 50 students in total.
20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.
30 - 10 = 20.
It's a tricky question, but this is the correct answer!
Hope This Helps!
Over the summer, Paulo opens a dog-washing business and begins with $32. The table shows how much he earns and spends each week. He works for 8 weeks washing dogs. When he starts back at school, he budgets $60 to spend each week. How many weeks pass before he needs to wash more dogs?
