Answers
The value of [tex]g(-4)=\frac{-4}{3}, \ g(-2)=3 \ \text{and} \ g(2)=\frac{8}{3}[/tex] .
Solution:
Given function:
[tex]g(x)=\left\{\begin{array}{ll}-\frac{1}{3} x^{2}+4 & \text { if } x \neq-2 \\3 & \text { if } x=-2\end{array}\right.[/tex]
Substitute x = –4 in g(x), we get
[tex]$g(-4) =- \frac{1}{3}(-4)^2+4[/tex]
[tex]$=- \frac{16}{3}+4[/tex]
To make the denominator same, multiply and divide the 2nd term by 3.
[tex]$=- \frac{16}{3}+\frac{12}{3}[/tex]
[tex]$g(-4)=- \frac{4}{3}[/tex]
It is given that, if x = –2, then g(x) = 3
Therefore g(–2) = 3
Substitute x = 2 in g(x), we get
[tex]$g(2) =- \frac{1}{3}(2)^2+4[/tex]
[tex]$=- \frac{4}{3}+4[/tex]
To make the denominator same, multiply and divide the 2nd term by 3.
[tex]$=- \frac{4}{3}+\frac{12}{3}[/tex]
[tex]$g(-2)= \frac{8}{3}[/tex]
The value of [tex]g(-4)=\frac{-4}{3}, \ g(-2)=3 \ \text{and} \ g(2)=\frac{8}{3}[/tex] .
Related Questions
A = {1,4,5,7}
B = {1,7,9,12}
Find A ∩ B.
A) {1,4,5,7,9,12}
B) {1,7}
C) {1}
D) {7}
Answers
Answer:
B)
Step-by-step explanation:
A ∩ B means all the elements that appear in both of the groups
therefore:
1 nad 7 appear in both
the correct answer is B) 1 and 7
Answer:
pretty sure it A many people said B was wrong
Step-by-step explanation:
What is the range of y = –5sin(x)? all real numbers Negative 5 less-than-or-equal-to y less-than-or-equal-to 5 all real numbers Negative five-halves less-than-or-equal-to y less-than-or-equal-to five-halves all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1 all real numbers Negative one-fifth less-than-or-equal-to y less-than-or-equal-to one-fifth
Answers
Answer:
The range of given function is
[tex][-5,5][/tex]
Step-by-step explanation:
We are given the function:
[tex]y = -5\sin(x)[/tex]
We have to find the range of the given function.
Range of function
Range is the collection of all possible values of y for the domain of function.Range of basic sine function is
[tex]-1\leq \sin(x) \leq 1[/tex]
Multiplying the range by -5
[tex]5\geq -5\sin(x) \geq -5[/tex]
Thus, the range of given function is
[tex]-5\leq -5\sin(x) \leq 5[/tex]
[tex]-5\leq y\leq 5[/tex]
Thus, the range of given function is
[tex][-5,5][/tex]
The attached image shows the graph for the given function.
All real numbers {y | − 5 ≤ y ≤ 5 }
Step-by-step explanation:
A cyclist can cover a distance of 18 miles in 45 minute. How many miles the cyclist can cover in 6 hours?
Answers
First, lets find how many miles the cyclist can ride per minute (speed = distance/time).
18/45 = 0.4 miles per minutes
Second, lets find how many miles the cyclist can ride per hour.
0.4 * 60 = 24 miles per hour
Third, lets find how many miles teh cyclist can ride in 6 hours.
24 * 6 = 144 miles in 6 hours
Best of Luck!
I need help with this IXL for my homework! Please help ASAP!! I'll mark BRAINLIEST if its right!
Answers
The 1 copy makes the cost equivalent in two options and the cost of 1 copy is $41.
Step-by-step explanation:
The given information are that,
Elsa could use a printer in which it cost a $38 setup fee and $3 for each copy.
Elsa could go to a supply store in which it cost $36 up-front fee and $5 for each copy.
To find the same amount for certain number of copies in both the cases :
Let us assume that the number of copies be 'x'.
In the first case, the total cost will be = setup fee + cost for x copies.
⇒ Total cost = 38 + 3x
In the second case, the total cost will be = up-front fee + cost for x copies.
⇒ Total cost = 36 + 5x
To find the x value :
Equating the total cost of both the cases, we get
⇒ 38 + 3x = 36 + 5x
⇒ 38-36 = 5x-3x
⇒ 2 = 2x
⇒ x = 1 copy
Therefore, taking 1 copy make the two options equivalent in terms of cost.
The cost of 1 copy = 38+ 3(1) = 41 dollars.
Therefore, it would cost $41 for 1 copy.
5x-2y=30 complete the missing value in the solution to the question (8, )
Answers
Answer:
(8,5)
Step-by-step explanation:
5x-2y=30
lets substitute "8" as x and see where that takes us
5(8)-2y=30
40-2y=30
subtract 40 on both sides
-2y=-10
divide by "-2" on both sides
y=5
(8,5) is your answer
Answer:
asd
Step-by-step explanation:
Consider the following equation f(x)=(x^2+4)/(4x^2-4x-8)
Answers
Question:
Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)
Answer:
The vertical asymptotes are x = 2 or x = -1
Solution:
Given that,
[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]
For vertical asymptotes, set the denominator to zero and then solve the quadratic equation
[tex]4x^2-4x-8=0\\\\Divide\ by\ 2\\\\x^2 - 2x - 4 = 0[/tex]
[tex]Split\ the\ middle\ term\\\\x^2+x-2x-2=0\\\\Group\ the\ equation\\\\(x^2 + x) - (2x + 2) = 0\\\\Factor\ the\ common\ term\\\\x(x + 1) - 2(x + 1) = 0\\\\(x + 1)(x - 2) = 0\\\\Therefore,\\\\x + 1 = 0\\\\x = -1\\\\And\\\\x - 2 = 0\\\\x = 2[/tex]
Thus the vertical asymptotes are x = - 1 and x = 2
Answer: x=-1 and x=2 because (this is where the function is undefined) name of horizontal asymptote (y=1/4) because (m=n)
Step-by-step explanation: on edge
3a^2 (ab^2+b^2)=
How much
Answers
Answer is 3a²b (a + b)
Step-by-step explanation:
Step 1: Find 3a² (ab²+b²)⇒ 3a² (ab²+b²) = 3a³b + 3a²b² = 3a²b (a + b)
What is the answer to 1.5=0.6(w+0.4)
Answers
Answer:
W= 2.1
Step-by-step explanation:
The solution to the equation 1.5 = 0.6( w + 0.4 ) is w = 2.1.
What is the solution to the given equation?Given the equation in the question:
1.5 = 0.6( w + 0.4 )
To solve the equation 1.5 = 0.6(w + 0.4) for "w," first apply distributive property:
1.5 = 0.6( w + 0.4 )
Distribute 0.6 on the right side of the equation:
1.5 = 0.6(w) + 0.6(0.4)
Simplifying, we get:
1.5 = 0.6w + 0.24
Subtract 0.24 from both sides of the equation:
1.5 - 0.24 = 0.6w + 0.24 - 0.24
1.5 - 0.24 = 0.6w
1.26 = 0.6w
0.6w = 1.26
To solve for "w", divide both sides by 0.6:
0.6w / 0.6 = 1.26 / 0.6
w = 1.26 / 0.6
w = 2.1
Therefore, the value of w is 2.1.
Learn more about equations here: brainly.com/question/14686792
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Will give brainlest
g(-5)=?
Answers
Answer:
-6
Step-by-step explanation:
g(-5) is the value of function g at x value -5
the graph shows the point (-5,-6), so g(-5)=-6
Answer:
-6
Step-by-step explanation:
8 g + 10 = 35 + 3 g
Answers
Answer:
g = 5
Step-by-step explanation:
8 g + 10 = 35 + 3 g
in order to get the value of g, firt of all rearrange the expression or in ither words collect the like terms.
8 g + 10 = 35 + 3 g
8g + 10 - 3g = 35
NOTE; when you are moving a number with positive sign across the equal to = sign the positive changes to negative and same thing applies to the negative sign it changes to positive sign.
we have;
8g -3g = 35 - 10
5g = 25
divide both sides by 5
5g/5 = 25/5
g = 5
Mr. Thompson got some money for his birthday He spent 1/5 of it on dog treats. Then, he divided the remainder among his 3 favorite charities.
If he donated $60 to each charity, how much money did he receive for his birthday?
Answers
Answer:
$225 of birthday money
Step-by-step explanation:
he spent 20 percent (1/5) of the money on dog treats, and the remaining 80 percent (4/5) went to 3 different charities. If $60 dollars were given to each charity, that means a total of $180 dollars was given to charity. if 4/5 of the money is equal to $180, we can divide 180 by 4 to get $45 dollars. this means that 1/5 of the birthday money would be equal to $45 dollars. so to find 5/5, or 100% of the money, simply multiply $45 by the denominator, 5, to get the answer. the total birthday money received was $225 dollars, and $45 dollars of that was used for dog treats.
The amount of money Mr. Thompson received for his birthday, work backwards from how much he donated to charities after spending 1/5 on dog treats, resulting in $300.
To find out how much money Mr. Thompson received for his birthday, we will work backwards from the information given.
Let's assume he received x amount of money for his birthday.
He spent 1/5 of it on dog treats, so he spent (1/5)x on dog treats.
The remainder after buying the dog treats is (4/5)x.
Since he divided this among 3 charities, each charity received $60, so [tex](\frac{4}{5} )x = 3*60.[/tex]
Solving this equation, we find x = $300.
Hence, Mr. Thompson received $300 for his birthday.
Finding a Percentile In Exercises 35–38, use the data set, which represents the ages of 30 executives.
43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28 35 38 43 42 44
35. Find the percentile that corresponds to an age of 40 years old.
36. Find the percentile that corresponds to an age of 56 years old.
37. Which ages are above the 75th percentile?
38. Which ages are below the 25th percentile?
Answers
To find the percentile, sort the data, count the values below the given value, divide by the total number of values, and multiply by 100.
Explanation:To find the percentile that corresponds to a specific age in a data set, you need to calculate the percentile rank. The percentile rank represents the percentage of values in the data set that are below the given value. Here are the steps to find the percentile:
Sort the data set in ascending order.Count the number of values in the data set below the given value.Divide the count by the total number of values in the data set.Multiply the result by 100 to get the percentile rank.For example, to find the percentile that corresponds to an age of 40 years old in the given data set, you would follow these steps:
Sort the data set: 28, 35, 35, 38, 40, 41, 41, 42, 43, 43, 44, 45, 47, 47, 48, 50, 50, 50, 53, 54, 54, 56, 56, 56, 57, 57, 61, 61, 65, 66Count the number of values below 40: 5Divide 5 by 30 (total number of values) to get 0.1667Multiply 0.1667 by 100 to get the percentile rank: 16.67%Learn more about percentile here:https://brainly.com/question/31390269
#SPJ3
I need help with this question please
ANSWER ASAP!!!!
Answers
Answer:
256 to the 2nd power
Step-by-step explanation: you see 4 tothe 4th power right. your going to multiply 4x4 4 times. The answer is 256 and you add the 2 above it.Got it
In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline are diameters of circle PPP. What is the arc measure of \stackrel{\LARGE{\frown}}{CD} CD ⌢ C, D, start superscript, \frown, end superscript in degrees? ^\circ ∘ degrees
Answers
Answer:
The measure of the arc CD = 64°
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°
Please help this is hard
Answers
Answer:
x = 10
Step-by-step explanation:
130 = 8x + 50
Step 1: Solve for x
130 - 50 = 8x + 50 - 50
80 / 8 = 8x / 8
10 = x
Answer: x = 10
Answer:
x=10
Step-by-step explanation:
8x+50=130
8x=80
x=10
Ma ktoś zadania od matematyki klasa 6 matematyka z kluczem część 2 ?? Podaję strony. 45,46,56,62,63 i 64 . Wszystkie zadania z tych stron
Answers
Answer: kluczem część 3
Step-by-step explanation:
zadania z tych stron 4
Find the least common multiple of these two expressions.
4v^7 w^5 and 10v^2w^4y^8
Answers
Answer:
20v^7w^5y^8.
Step-by-step explanation:
The LCM of 4 and 10 is 20.
of v^7 and v^2 is v^7
of w^5 and w^4 is w^5
So the answer is 20v^7w^5y^8.
The width of a rectangle is 4x - 4.25 feet and the length is 7x + 7 feet. Write and
expression to find the perimeter of the rectangle.
Answers
Perimeter is 2l+2w in the case of a rectangle, so you would write:
2(4x - 4.25) + 2(7x +7)
Answer: The expression can be written as Perimeter = 22x + 5.5
Step-by-step explanation: The perimeter of a rectangle is given as 2(L + W), where L is the length and W is the width. In the question, the length L has been given as 7x + 7 while the width W has been given as 4x - 4.25.
Inserting the values of the length and the width, the perimeter can now be properly written as,
Perimeter = 2(L + W)
Perimeter = 2( {7x + 7} + {4x - 4.25} )
By collecting like terms we now have
Perimeter = 2(11x + 2.75)
Perimeter = 22x + 5.5
PLEASE ANSWERRRR
What type of association does this graph have?
A. Positive
B. None
C. Negative
D. All of the above
Answers
Answer:
positive
Step-by-step explanation:
If the variables tend to increase and decrease together, the association is positive.
hope this helps :)
solve the equation 4x — 3y = y —12 for x if y is 6. Make sure to first solve the equation for x in terms of y. X= ________
Answers
Answer:
x = 3
Step-by-step explanation:
4x - 3y = y - 12
If y = 6
4x - 3 x 6 = 6 - 12
4x -18 = -6
Add 18 to both sides
4x - 18 + 18 = -6 + 18
4x = 12
Divide both sides by 4
x = 12/4
x = 3
Write 6-1 as a fraction.
Answers
Answer: 5/1
Step-by-step explanation:
6-1=5
put that under 1 to make the fraction 5/1
I'm unsure if this is correct, but I assume the answer shall be:
6-1/1, Both numbers are whole numbers. So, as a fraction, whole numbers are put over 1. So 6 minus 1 over 1. (Sorry if this is incorrect.)
how do you turn 245/360 into a decimal
Answers
Answer:
0.53
Step-by-step explanation:
If you want to make it simpler you can simplify it.
To make our lives more simpler lets use that route.
[tex]\frac{245}{360} =\frac{49}{75}[/tex]
Now you would divide:
0.53...
So, 0.53
Hope this helped!
ILL GIVE BRAINLIST!!!! must explain!!!
Answers
Then x = 5/2 =2.5
Y+1=6 so y =5
Answer:
x = 2.5 y = 5
Step-by-step explanation:
Image and pre image are similar figures
4/2 = 5/x
x = 5/2 = 2.5
4/2 = (y+1)/3
6 = y+1
y = 5
Greatest common factor 16, and 24
Answers
Answer:
The answer is 8. :D Hope this helps!
Explanation Edit: The greatest common factor is 8. Out of all the like terms, 1, 2, 4, and 8, 8 is the greatest. The greatest term is 8 = The greatest common factor. 8 is the greatest common factor.
[tex]\large\text{Hey there!}[/tex]
[tex]\large\text{Greatest common factor (GCF) of 16 \& 24}[/tex]
[tex]\large\text{16: 1, 2 , 4 , 8 , \& 16}[/tex]
[tex]\large\text{24: 1 , 2 , 3 , 4 , 6 , 8 , 12 , \& 24}[/tex]
[tex]\large\text{Like terms of both of your numbers: 1, 2, 4, \& 8}[/tex]
[tex]\large\text{The GREATEST out of like terms is: 8}[/tex]
[tex]\boxed{\boxed{\large\text{Thus, your answer is :\boxed{\large\text{\bf{Your Greatest Common Factor is: \underline{8}}}}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Which type of sequence is shown ?
-2,0,2,4,6
Answers
Answer:
D arithmetc
Step-by-step explanation:
i think
{PLEASE ANSWER QUICKLY!}
Graph y= –7/3x+2 .
Answers
Answer:
graph is linked!
hope this helps :)
Trina's car uses 12 gallons of gas to travel 144 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 240 miles?
Answers
Answer:
34
Step-by-step explanation:
ok so first you need to divide 144 by 12 = 12
then you need to figure if you split that in half it equals 6.
now we know that for every 12 miles you drive, you need 1 gallon of gas
now you need to divide 240 by 6 = 40
so you will need 40 gallons of gas to drive that far
we are not one yet, then you need to take away 6 from 40 witch comes to 34.
so you will need 34 more gallons of gas
please give brainleist!!!!
Answer:
Same Gas
Step-by-step explanation:
What is the value of x?
Answers
The value of x is 3.
Solution:
In the given triangle, a = 4, b = 3, x = ? and y = 2.25.
To find the value of x:
The image of the formula is attached below.
Angle bisector theorem:
An angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.
[tex]$\frac{a}{b}=\frac{x}{y}[/tex]
[tex]$\frac{4}{3} =\frac{x}{2.25}[/tex]
Do cross multiplication.
9 = 3x
Divide by 3 on both sides,
3 = x
Switch the sides.
x = 3
The value of x is 3.
Explain using coordinate geometry, why the figure below is a rectangle.
Answers
Answer:
it is a rectangle because the shape has to coordinating sides and the y values on the top points are the same and that y values on the bottom points are also the same.
Step-by-step explanation:
hope this helps have a wonderful day
Find the equation of a line that passes through the point
(0,7) with a slope that is the opposite of the slope of the
line with equation y = -x -5.
Answers
Answer:
y=x+7
Step-by-step explanation:
y-7=1(x-0)
y-7=x-0
y=x+7
Answer:
y=x+7
Step-by-step explanation:
You need a slope that is opposite the slope of equation y=-x-5. To do this you need to find the opposite reciprocal. For -1, the opposite reciprocal would be 1. So, your slope is going to be 1.
You need the line to pass through (0,7), which is a point on the y axis. b in y=mx+b is the y-intercept. So, you would make 7 your b.
By plugging in these numbers you end up with y = x + 7