Answer:
3.
C. The domain is (1,+[infinity]) and the range is (-1,+[infinity])
4.
B. 6
5.
A. (-[infinity], 3)
Step-by-step explanation:
The Linear function has one independent and one dependent variable. The value of dependent variable can be found by taking the equation equals to 0. The domain function is set to analyse the range. The range can be set as -1 to 1. Any number between this is acceptable but outside this is not considered in the domain.
A taxi company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled.
If the total cost of the fare was $41.00, what’s the equation to determine the number of miles traveled. And what’s the total number of miles traveled if the fare was $41.00?
Answer: 12
Step-by-step explanation:
Answer:
[tex]y=3x+5[/tex]
12 miles
Step-by-step explanation:
You know that the total fare was $41 so you need to subtract 5 from that and you get $36. Then you need to divide that by 3 to find out what x is. When you od that you get 12. Now you know he traveled 12 miles
Hope this helps!
Mark Brainliest if you can!
Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.
What is the measure of B?
The measure of the angle B is 74 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.
If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.
The angle sum property of a triangle;
80 + 26 + B = 180
B = 180 - 106
B = 74
Therefore, the size and shape of the triangle wouldn't change.
The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length.
Hence, the measure of the angle B is 74 degrees.
Learn more about the triangles;
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On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?
Answer:
4
Step-by-step explanation:
Answer:
She missed 4 questions
Step-by-step explanation:
4/5=8/10=16/20
3(-4/7) I don’t know how to get the answer
Answer:
Step-by-step explanation:
if its 3 - 4/7 then it = 2 3/7
if its 3*-4/7 then it = -12/7 = - 1 5/7
Helppppp please !!!!!
Answer:
The answer is A) 1/8^2
Step-by-step explanation:
Both of the equations simplified equal 1/64.
Slove 4(5x-2)= 2(9x+3)
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
[tex]4(5x-2) = 2(9x+3)[/tex]
[tex]20x-8=18x+6[/tex]
Then, isolate the variable. Start by subtracting 18x from both sides.
[tex]2x - 8 = 6[/tex]
Add 8 to both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x=7[/tex]
The lifetime in months of a transistor in a certain application is random with probability density function:
f(x) = {0.4e^-0.4x, x>0 0, x<0
a. Compute the mean lifetime.
b. Compute the standard deviation of the lifetimes.
c. Compute the cumulative distribution function of the lifetime.
d. Compute the probability that the lifetime will be less than 6 months.
e. Compute the 60^th percentile of the lifetime.
Answer:
Explained below.
Step-by-step explanation:
The probability density function of lifetime in months of a transistor in a certain application is:
[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]
The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.
(a)
Compute the mean lifetime as follows:
[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]
Thus, the mean lifetime is 2.5 months.
(b)
Compute the standard deviation of the lifetimes as follows:
[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]
Thus, the standard deviation of the lifetimes is 2.5 months.
(c)
The cumulative distribution function of the lifetime is:
[tex]CDF=1-e^{-0.40x}[/tex]
(d)
Compute the probability that the lifetime will be less than 6 months as follows:
[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]
[tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]
Thus, the probability that the lifetime will be less than 6 months is 0.9093.
(e)
Compute the 60th percentile of the lifetime as follows:
[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]
Thus, the 60th percentile of the lifetime is 2.3 months.
Round the number 1258 into significant figures
Answer:
1 sig fig = 1
2 sig fig = 13
3 sig = 126
4 sig fig 1258
Step-by-step explanation:
I think that's what you're asking but I'm not sure
A rectangle has length 8x 104 mm and width 4 x 104 mm. The rectangle's length is how many times
its width?
The rectangle's length is times its width.
(Type a whole number.)
Answer:
Step-by-step explanation:
It would be 2.
8/4=2
10^(4-4)=10^0 or 1
2*1=2
HURRY, PLEASE HELP!!!
Answer:
Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.
The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.
please help fast and expalin.
Answer: 10,000
Step-by-step explanation:Hope this helps!
Which statement is modeled by 2p + 5 < 11
Group of answer choices
The sum of 5 and 2 times p is at least 11
5 added to the product of 2 and p is less than 11
2 times p plus 1 is at most 11
the product of 2 and p added to 5 is 11
6 : 4 is equivalent to
Answer:
12 : 8, 18 : 12, 24 : 16, 30 : 20
Step-by-step explanation:
These are the four after 6:4. I didn't know which you needed.
Answer:
3:2
Step-by-step explanation:
If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.
6/2=3
4/2=2
The ratio is now simplified/equivalent to 3:2.
I hope this helps...have an amazing day c:
Help me please! What’s m
Answer:
should be 60 right?
Step-by-step explanation:
a triangle =180 degrees
angle be is 60
60+60+60 =180
not a very good explanation but im almost certain the answer is 60
Answer:
A = 60°
Step-by-step explanation:
B is equal to 60°, so 60 + 80 = 120
180° - 120° = 60°
Pls Brainliest, it would help a lot! ;)
Lemonade was on sale last week ;it cost $12 for every 4 packs of lemonade.How much do 2 packs of lemonade cost
Answer:
$6
Step-by-step explanation:
Each pack is $3
So therefore if you multiply 2($3) it is $6 for two packs
Write an equivalent expression to the following: 1/2 (-6x + 8) – 7
Answer:
-3x -3
If this is not the answer you are looking for plz let me know!!!
Answer:
-6x+8=14
Step-by-step explanation:
1/2*(-6x+8)-7 |+7
1/2*(-6x+8)=7 | ÷1/2
-6x+8=14
You mean sth like this?
Find |x| when x = – 15.
HELP ME PLEASEE
Answer: 15
Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.
The product of 8 and x is greater than 50.
Answer:
X would have to be any number greater than 6.25
Step-by-step explanation:
8*7=56, 8*8=64, and so on.
which expression is equivalent to -10 (-40) + (-90) ?
A. 10 + 40 + 90
B. -(10-40) + (-90)
C. -10 - (40 - 90)
D. -10 + (-90) + (-40)
PLS HELP
Answer:B
Step-by-step explanation:-10 times -40 is -400 times -1 is 400.
POSSIBL
Mariko needs to solve the equation below for D. Which correctly describes the step he should take?
M=
= p
Subtract V from both sides.
Divide both sides by V.
Multiply both sides by V.
O Divide both sides by D.
1
2
which step should I take
Answer:
Divide both sides by V
Step-by-step explanation:
The equation is not well written.
Mariko needs to solve the equation below for D. Here is the equation:
M = DV
For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;
Divide both sides by V
M/V = DV/V
V at the denominator will cancel out the V at the numerator to have:
M/V = D
Rearrange
D = M/V
Therefore, the statement which correctly describes the step he should take is:
Divide both sides by V. Option B is correct.
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?
Answer:
there are no signs between the x and y and constant
it could be
2x+5y=15
2x+5y=-15
-2x+5y=15
2x-5y=15
for ax+by=c, the equation of a line paralell to that is
ax+by=d where a=a, b=b, and c and d are constants
(for this answer, I'm going to use 2x+5y=15)
given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d
to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15
pls mark me brainlest
Answer:
2x+ 5y= -2
Step-by-step explanation:
Order these from least to greatest: .25, 3/8, 7/12, 5/16, .5
Solve for x: 1 over 3 (2x − 8) = 4.
2
6
10
Answer:
the answer is x= 10
Step-by-step explanation:
You have prizes to reveal! Go to your game board. *
Steven already knew 28 appetizer recipes before starting culinary school, and he will learn 1
new appetizer recipe during each week of school. After how many weeks of culinary school
will Steven know a total of 34 appetizer recipes?
Answer:
6
Step-by-step explanation:
help me answer please
Answer:
x=21
Step-by-step explanation:
supplementary angles add up to 180°
7x-3+2x-6=180
collect like terms
9x-9=180
add 9 to both sides
9x=189
divide both sides by 9
x=21
19 A trading card costs $810$ it increases in value the same amount each
year. After 1 year, the value is $1092
Write the equation to represent this
0.75 (6+d)=12 step by steP
Answer:
Step-by-step explanation:
step 1: 0.75 x 6 = 4.5
step 2: 0.75 x d = 0.75d
step 3: 4.5 + 0.75d = 5.25d
It's correct answer
1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).
Answer:
y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
On triangle it shows: 50* (2x)* (3x-10)* what is the value of x?
Answer:
28
Step-by-step explanation:
The sum of 3 consecutive even integers is 48. Find all three inters
Answer: 15 16 17
Step-by-step explanation: Add them together and you should get 48