Answer:
3$
Step-by-step explanation:
Domain and Range for the function f(x)=5IXI is
Answer:
The domain of the function f(x) is:
[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
The range of the function f(x) is:
[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=5\left|x\right|[/tex]
Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:
[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.We know that the range of an Absolute function is of the form
[tex]c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
so
Thus, the range of the function f(x) is:
[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
I NEED HELP PLEASE !!!
Answer:
14
Step-by-step explanation:
Just add both the numbers as positive to get total length since one is negative
5.3+8.7=14
Answer:
The length of the segment is 14.
Step-by-step explanation:
8.7 - (-5.3) = 14.
An easier way to do this is just by counting backwards kinda on the number line.
Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?
Answer:
4
Step-by-step explanation:
because 25×11= 275 and 500-275 =225
50x4=200
225-200=25 you can buy 4 and 25$ is left over
Sara earns $80.50 for 7 hours of pet sitting. She earns the same amount per hour each time she pet sits. How many hours does Sara need to pet sit to earn $138
Answer:
12
Step-by-step explanation:
PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma
-13x=90-2y
-6x=48-2y
Answer:
[tex]x=-6,\\y=6[/tex]
Step-by-step explanation:
Rewrite the system of equations as:
[tex]\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}[/tex]
Subtract the second equation from the first to isolate [tex]x[/tex]:
[tex]-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}[/tex]
Plug in [tex]x=-6[/tex] into any of the equations above and solve for [tex]y[/tex]:
[tex]-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}[/tex]
Verify that the solution pair [tex](-6, 6)[/tex] works [tex]\checkmark[/tex]
Therefore, the solution to this system of equations is:
[tex]x=-6,\\y=6[/tex]
I really need help I dont understand thank you
Answer:
Answer choice B
Step-by-step explanation:
Here is the form you are using:
y=mx +b
Substitute:
y=6x-5
Answer choice B
Helppppppppppppppppppppp due in 2hrs
plz watch for more questions
the 2nd pic has the 2 options plz have an explanation
Answer:
B. 20 = 2g
Step-by-step explanation:
What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.
Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.
What is y-5=1/2(x-1) in slope-intercept form?
Answer: y = 1/2x + 9/2
Step-by-step explanation:
A triangle has sides with lengths of 5 yards, 12 yards, and 15 yards. Is it a right triangle? PLEASE HELP!
Answer:
The triangle is right angled
Step-by-step explanation:
Explanation:
As the largest side is
15 yards and smaller sides are 9 yards and 12 yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Answer:
no its not
Step-by-step explanation:
i did the same question
You are buying plants and soil for your garden. The soil cost $4 per bag and the plants cost $10 each. You want to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.
Answer:
The system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
Step-by-step explanation:
Let
The number is soil = x
The number of plants = y
You are buying plants and soil for your garden.
You want to buy at least 5 plants
At least = greater than or equal to with the inequality sign(≥)
Hence:
x + y ≥ 5..... Equation 1
The soil cost $4 per bag and the plants cost $10 each and can spend no more than $100.
No more than means Less than or equal to with the inequality sign( ≤ )
Hence:
$4 × x +$10 × y ≤ $100
= 4x + 10y ≤ 100..... Equation 2
Therefore, the system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
The cost before tax for an order of CDs from Music & More store was $214.60. If the store ordered 20 equally priced CDs, and the total shipping and handling fee was $15.00, what was the cost of one CD?
Answer:
Cost of one CD = $9.98
Step-by-step explanation:
Total cost = $214.60
Total shipping and handling fee = $15.00
Number of CDs = 20
Cost of 20 CDs = Total cost - Total shipping and handling fee
= $214.60 - $15.00
= $199.60
Cost of one CD = $199.60 / 20
= $9.98
Cost of one CD = $9.98
Answer:
$9.98
Step-by-step explanation:
took a test and got the question right (this was the answer)
answer pleaseeeeee i dont get this
Answer:
I don't really now! What grade are you in? I think he needs 10 cherry tomatoes or 24 I don't really know! Don't listen to me! I just making a educated guess.
Step-by-step explanation:
Answer:
60 cherry tomatoes for large salad and 24 cherry tomatoes for small salad
Step-by-step explanation:
10 x 6 equals 60 cherry tomatoes for the first row, for the second multiply 4 times 6 which equals 24 cherry tomatoes.
x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)
Answer:
x= -74 or -84
Step-by-step explanation:
x^2+3x+37=-7x
x^2+3x+7x+37=0
x^2+10x+37=0
this convert to following
[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]
-b= -(10), a= 1, c =37
according to that
x= -74 or x= -84
Does anyone get this?
Help me please. Will give brainliest
Answer:
The answer is B. they're using the slope equation to figure out the slope. none of the other equations are set up correctly, so B is the correct answer.
Step-by-step explanation:
i hope this helps :))
Help!!!!!! Find x and y so the quadrilateral is a parallelogram.
Answer:
Conclusion:
The value of x = 7The value of y = 4Step-by-step explanation:
Given
The parallelogram PQRSWe know that the diagonals of a parallelogram bisect each other.
Therefore,
RT = TPGiven RT = x and TP = 5x-28, so
x = 5x-28
5x = x+28
5x-x = 28
4x = 28
divide boh sides by 4
4x/4 = 28/4
x = 7
Thus, the value of x = 7
Similarly,
QT = TS
Given QT = 5y and TS = 2y+12, so
5y = 2y+12
5y-2y = 12
3y = 12
divide both sides by 3
3y/3 = 12/3
y = 4
Thus, the value of y = 4
Conclusion:
The value of x = 7The value of y = 48. Solve for x:
3x + 8x = 44
A x= 4
B x= 44/11
C x= 11
D x=33
Answer:A
Step-by-step explanation:
just try putting 4 into x and you will see
what’s the length of E to D
what’s the length of B to E
Given:
In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.
To find:
(a) The length of ED.
(b) The length of BE.
Solution:
In triangle ABE and ACD,
BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.
[tex]m\angle ABE=m\angle ACD[/tex] (Corresponding angles)
[tex]m\angle BAE=m\angle CAD[/tex] (Common angle)
Now,
[tex]\Delta ABE\sim \Delta ACD[/tex]
Corresponding sides of similar triangles are proportional.
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]
(a)
[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]
[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]
[tex]0.8=\dfrac{26}{AD}[/tex]
Isolate AD.
[tex]0.8AD=26[/tex]
[tex]AD=\dfrac{26}{0.8}[/tex]
[tex]AD=32.5[/tex]
Now,
[tex]AD=AE+ED[/tex]
[tex]32.5=26+ED[/tex]
[tex]32.5-26=ED[/tex]
[tex]6.5=ED[/tex]
Therefore, the length of ED is 6.5.
(b)
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]
[tex]0.8=\dfrac{BE}{18}[/tex]
Multiply both sides by 18.
[tex]14.4=BE[/tex]
Therefore, the length of BE is 14.4.
The height of a boulder falling off a 500 meter cliff can be modeled using a quadratic equation.
Part A: Write the quadratic equation to represent this situation.
Part B: Determine the time it will take the boulder to reach the ground.
Part C: In one paragraph, using your own words, explain your work in Steps A and B.
Answer:
The answer is t=4 s
Step-by-step explanation:
Answer: T=4s
Step-by-step explanation: it is option 2
can someone please help me
8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?
Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
Work out these approximate conversions. 8 miles=..... km
Answer:
12.87 km
Step-by-step explanation:
searched it up
Help please and thank you!
3/5 ÷ 1/4 – 2/5 ^2 (these are fractions and ^2 this is a exponent)
Answer:
The answer is 7/100
Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?
Answer:
stage 1 -280
stage 2 -220
stage 3 -160
stage 4 - 100
it takes 6 stages to return to the surface.
Step-by-step explanation:
please help mee dont wanna fail
Answer:
I'm not sure what X is but I am pretty sure the PAW angle is the same as -1x+43. Dont count me on it though...
Step-by-step explanation:
a small auditorium can seat 320 people which inequality best represents the number of people who can sit in the auditorium pls help I am in 5th grade I have been stuck on this for a week and two days now I have to finish this this is due tomorrow sorry if I spelled wrong!:)
Answer:
Step-by-step explanation:
Answer is p/320
pls help with the answer asap thank ypu
Answer:
3(2x+1)+2(x+4)
=6x+3+2x+8
=6x+2x+3+8
=8x+11
Plz help find each circle measure !!!!!
Answer:
for the first one it is
ED= 26
CF= 13
mED= 136
mHD= 68
mCE= dont know this one but the other ones im positive their right
Step-by-step explanation:
9514 1404 393
Answer:
ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°
QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°
Step-by-step explanation:
Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.
__
Circle J
ED = 2×GD = 26
CF = GD = 13
arc ED = arc CD = 136°
arc HD = 1/2 arc CD = 68°
arc CE = 360° - 2×136° = 88°
__
Circle Y
QU = 1/2×ST = 8
QR = ST = 16
arc ST = arc QR = 1/2(360° -34° -98°) = 114°
arc XT = 1/2 arc ST = 57°
You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.
Answer:
x is greater than or equal to 42 inches (I can't do the smybol for it)
Step-by-step explanation: