For the piecewise function, find the values g(-1), g(2), and g(5). g(x)= x+4, for x≤2 9-x, for x>2
Answers
Answer:
g(-1) = 3, g(2) = 6, g(5) = 4
Step-by-step explanation:
Please refer to attached photo. (Apologies for the terrible handwriting.)
From here we can see,
g(x) = x + 4 applies for values x less than or equal to 2.
g(x) = 9 - x applies for values x more than 2 (which does not include 2.)
g(-1):
Since -1 < 2,
g(-1) = -1 + 4 = 3
g(2) = 2 + 4 = 6
g(5):
Since 5 > 2,
g(5) = 9 - 5 = 4
Related Questions
Distribute and combine like terms:
6-3(x-8)
Please show a step by step process.
Answers
Multiply (x-1)(x^3+4x^2+4x-1) and combine like terms. Show your work.
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)
Answers
Answer:
Step-by-step explanation:
You need to find the slopes of the line segments.
If the lines are perpendicular to each other, the product of their slopes is -1.
If the lines are parallel, they have the same slope.
What’s the slope of y = -3x + 5? *
Answers
Answer:
-3
Step-by-step explanation:
The number connected to the x is the slope, the number being added on or subtracted is the y-intercept
Answer:
m=-5
Step-by-step explanation:
Aaron is twice as old as Ryan.In 3 years,the sum of their ages will be 30 years.Find Aaron′s present age
Answers
Answer:
If we take Ryan's age as 'x' then we have Aaron's age as '2x'
Now, we have the sum of their ages after 3 years as 30.
So according to question, we can prepare an equation which is
2x+3+x+3 = 30
= 3x+6 = 30
= 3x = 30-6
= 3x = 24
= x = 24÷3
= x = 8
Thus, Ryan' is 8 years old now.
Now we need to find Aaron's age, and this can be done easily as we have already made an expression fore Aarons age, i.e., '2x'
So 2x= 2×8
= 16.
So we have Aaron's age-16,
Ryan's age-8
Aaron: x *2
Ryan: x
So basically 3 in total. Since 30 is already divisible by three we can go from there. Then we will get original age.
30/3 = 10
Aaron = 10 *2
Ryan = 10
This is their ages AFTER the three years. So now, we just subtract to find original age.
20-3= 17
20-3 = 7
Aaron is 17.
Ryan is 7.
help
There are 4 housekeepers working on each floor. One room only requires one housekeeper. If the housekeepers try distributing the work equally, how many housekeepers need to clean more rooms that the others?
Answers
35 rooms + 3 suites = 38 total rooms.
38 / 4 = 9.5
2 house keepers can clean 9 rooms each and 2 house keepers can clean 10 rooms each
2 Housekeepers need to clean more rooms than the other two.
differentiate between Charles babbage's and Alan turing's computer designs
Answers
The figure shows a square with sides of length 1 and a diameter of length x.
How can you determine the value of x?
Find x.
Pls help i don’t know what this is or how to figure it out
Answers
Answer:
√2 unitsStep-by-step explanation:
It should be diagonal not diameter.
The diagonal of the square is √2 time the side.
The side given 1 unit, then the diagonal is x = √2 units
9514 1404 393
Answer:
x = √2
Step-by-step explanation:
Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...
c² = a² + b²
The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...
x² = 1² + 1²
x² = 2
x = √2 . . . . . . the length of the diagonal (diameter)
_____
Additional comment
The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...
side : side : hypotenuse = 1 : 1 : √2
(You will see this again.)
6/10 times 1/5 pls hurry
Answers
Answer:
is your answer 6/50
Step-by-step explanation:
6/10 X 1/5 = 6/50
PLEASE PLEASE PLEASE PLEASE HELP!
Answers
Answer:
x=40°
Step-by-step explanation:
x=180-75-65=40°
Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!
Answers
Answer:
A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)
Such that each element in the domain can be mapped into only one element from the range.
Let's see graphs 18, 20,24 and 30.
Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)
18) Here we can see that the point x = 1 his mapped into two different values of y.
we have the pair (1, 2) and the pair (1, -3)
And something similar happens for x = 2.
Then we can conclude that this is not a function.
20) Here we have a linear relationship.
Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.
Linear equations can be written as:
y = a*x + b
So x can be any value, and thus y also can be any value.
Then the domain is the set of all real numbers, and the range is the set of all real numbers.
24) Here we have a quadratic function whose arms go down.
This is a function, now let's see the domain and range.
Quadratic functions are written as:
y = a*x^2 + b*x + c
There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.
Now, let's look at the graph.
We can see that the function goes up, reaches a maximum, and then goes down again.
Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:
y ∈ (-∞, 15]
or simply:
y ≤ 15.
30) Here again, we can see that for x = 0 there are two different values of y.
the same happens for x = -1, x = -2, and a lot of other values.
Then this is not a function, because it is mapping values of the domain into different values of the range.
Hello i have no question im just giving brainliest to whoever answers first
Answers
Answer:
thanks very much I really appreciate your kindness
Write Function or Not
1.{(1,3),(2,4),(3,5)}
2.{(1,2),(1,3),(2,4)}
3.{(-3,4),(0,7),(3,0)}
4.{(4,3),(4,0),(-3,0)}
5.{(6,-8,),(-6,-8),(-6,8)}
Answers
Answer:
1. is a function
2.is a function
3. is function
4 is not function
5. is not function
Step-by-step explanation:
Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.07 minutes to screen-print a batch of shirts, how many shirts are in the, batch?
Answers
Answer:
7
Step-by-step explanation:
13.07 minus 6.07 is 7
7 divided by 1 is 7
ans is 7
How
Solve The D. E
dy/dx=2x^5 y^3 - 4y/x
Answers
dy/dx (2y³ x⁵ - 4y/x)
dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)
= 2y³ 5x⁴ - (-4y × 1/x²)
=
10x⁶ y³ + 4y
-------------------
x²
Round 7.5 to nearest whole number
Answers
Answer:
The answer is 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
When a number has .5 after it you round up.
So, if a number has 5, 6, 7, 8, or 9 after the decimal round up
If a number has 1, 2, 3, or 4 after the decimal round down
Hope this helps!!
- Kay :)
How do you graph y = (4 – x)(x + 2)?
Answers
Answer: look at the picture
Step-by-step explanation: hope this help
Write your answer as a decimal or whole number.
% of 10 =7
Answers
We know that 70% of 100 is 70 but since we are working with 10 we can use a proportion.
However, just by looking at the numbers we can conclude it is 70% because if you take a zero off of 100 and 70 it is still proportionally equal to 100 and 70. Therefore, the answer is 70%.
Solve 1\ 7 + 1 \2= Show all your steps and don't get the answers from goo.gle.
and if it is not about the question four the answer I will report and no branlest
Answers
Answer:
[tex]\frac{9}{14}[/tex] = 0.642857143
Step-by-step explanation:
[tex]\frac{1}{7}+\frac{1}{2}[/tex]
Least common multiple of 7 and 2 is 14. Convert [tex]\frac{1}{7} and \frac{1}{2}[/tex] to fractions with denominator 14.
[tex]\frac{2}{14} + \frac{7}{14}[/tex]
Since [tex]\frac{2}{14} + \frac{7}{14}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{2+7}{14}[/tex]
Add 2 and 7 to get 9.
[tex]\frac{9}{14}[/tex]
If a dozen eggs cost $3.84 calculate the cost of 30 eggs
Answers
Answer:
a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs
THX mark me brainlyiest
LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9
Answers
Answer:
LN = MP = 9 units
Step-by-step explanation:
In rectangle LMNP, LN and MP are diagonals .
Measures of the diagonals of a rectangle are equal.
Therefore,
MP = LN
2x - 9 = x
2x - x = 9
x = 9
LN=x = 9 units
MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units
harriet is 2 years less than a third of her brothers age. Harriet is 3 years old. How old is her brother? please help
Answers
Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.
Answers
Answer: a. This line's slope-intercept equation: y=-9.7x+417.1
b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Step-by-step explanation:
Linear equation: y=mx+c (slope-intercept equation)
, where m= rate of change in y with respect to change in x , c= Initial value.
Let y= Mass of remaining gas after x minutes.
m= -9.7 (given)
At x= 8, y=339.5
Thus,
[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]
a. This line's slope-intercept equation: y=-9.7x+417.1
b. At x= 31 minutes
y=-9.7(31)+417.1
⇒ y=-300.7+417.1
⇒ y=116.4
31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. Put y=0, we get
[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]
If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
HELP solve the proportion x+1/16 = 17/32
Answers
Answer:
Exact Form:
x=15/32
Decimal Form:
x=0.46875
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Exact Form:
x=15/32
Decimal Form:
x=0.46875
Hope this helps!!!
Answer:
Exact Form : x = 15/32
Decimal : 0.46875
3(2X+3)+2(3X+2)=9X+4
Answers
Answer:59
Step-by-step explanation:
SOMEONE SAVE ME FROM FAILING PLEASE
Answers
Answer:
Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!
Step-by-step explanation:
Answer:
y - 3 = -2(x + 4)
Which equation represents a linear equation
Answers
Answer:
I'm thinking it's A or C
Step-by-step explanation:
I'm sorry I can't decide ;-;
Answer:
The 4th answer.
Step-by-step explanation:
It has the equivalence that each point will be substracted 5 from y and 20 from x, but it won't change the line of the result. Sure, the position, but not the line.
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were there for the four locations to apply the new ointment
Answers
Answer:
There were 70 choices for the four locations to apply the new ointment
Step-by-step explanation:
The order in which the locations are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices were there for the four locations to apply the new ointment
Four locations from a set of 8. So
[tex]C_{8,4} = \frac{8!}{4!(8-4)!} = 70[/tex]
There were 70 choices for the four locations to apply the new ointment
A quality control inspector is testing microprocessor chips made during a single day by a new machine to determine the proportion of defective chips. She selects an SRS of 80 chips from the 3000 chips produced by the machine on that day. it turns out that six of the chips are defective. Which of the following conditions for constructing a confidence interval for the proportion of defective chips has been violated?
A. np>10 and n(1-p) > 10
B. An SRS has been taken from the population of interest.
C. The population is at least 10 times the size of the sample.
D. The population is approximately Normally distributed.
E. There appear to be no violations.
Answers
Answer:
The answer is "Choice A".
Step-by-step explanation:
[tex]\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10[/tex]
In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.
Help plz:)))I’ll mark u Brainliest
Answers
Step-by-step explanation:
The angle where the shadow ends is
[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]
The distance from the tree to the angle of end shadow equal (60-20)=40ft
So the tall of tree is
[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]