help meeeee pleaseeee
find the range of the function y = 1/2x + 2 if the domain is {-4, -2, 0}
The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.
What is function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.
The given function is,
y = 1/2 x + 2.
Also, the domain of the function is {-4, -2, 0}.
Since, the domain of the functions defines the values of x,
And range defines the value of y in function.
The value of y at x = -4
y = 1/2(-4) + 2 = -2 + 2 = 0
At x = -2,
y = 1/2(-2) + 2 = -1 + 2 = 1
At x= 0,
y = 1/2 (0) + 2 = 2
The values of y are 0, 1 and 2.
Hence, the range of the function is {0, 1, 2}.
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Any help would be much appreciated!!
In AJKL, JK II MN. Given that MJ = 10, NK = 25, and LN = 20, find LM.
M
K
LM = 0
Answer:
please mark as brainliest
Answer:
LM = 8Step-by-step explanation:
To find:-
The value of LM .Answer:-
We are here given that JK is parallel to MN , and the values of MJ is 10 , NK = 25 and LN is 20 . We are interested in finding out the value of LM .
We can use Thale's Theorem here , according to which;
Thale's Theorem:-
If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.So here we have;
\(\longrightarrow \dfrac{LM}{MJ}=\dfrac{LN}{NK} \\\)
On substituting the respective values, we have;
\(\longrightarrow \dfrac{LM}{10}=\dfrac{20}{25}\\\)
\(\longrightarrow LM = 10\times \dfrac{20}{25}\\\)
\(\longrightarrow\large \pmb{\underline{\boxed{ LM = 8 }}} \\\)
Therefore the value of LM is 8 .
Henry bought a coat with a regular price of $75 and used a coupon for o off. Janna bought a
coat with a regular price of $82 and did not use a coupon. How much more did Janna's coat cost
than Henry's coat?
A. $7.00
B. $15.50
C. $22.50
D. $29.50
Answer:
A. $7.00
Step-by-step explanation:
$82-$75=$7.00
What is x? Because I don’t know g how to work it out
Answer:
45 degrees
Step-by-step explanation:
The 4 angles of a quadrilateral will add to 360.
We know 1 of them (angle B) is 90 degrees.
We can set up an equation to solve the others.
2x+3x+x+90 = 360
Now solve for x.
Start by combining the x terms together.
6x+90 = 360
6x = 360-90
6x = 270
(6x/6) = 270/6
x = 45 degrees
Check back to see if that makes sense and if the equation equals 360 when x is 45:
2x+3x+x+90 = 360
2(45)+3(45)+45+90=360.
3a. Find the volume of the 3-dimensional object. (enter only the number
Answer:
60 m^3.
Step-by-step explanation:
3*4*5.
help me solve this queston
TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
To represent the given problem as a system of equations, we can use the following information:
John is 70 years younger than Sharon: j = s - 70
Sharon is 4 times as old as John: s = 4j
Let's plot the graph for this system of equations:
First, let's solve equation (2) for s:
s = 4j
Now substitute this value of s in equation (1):
j = s - 70
j = 4j - 70
3j = 70
j = 70/3
Substitute the value of j back into equation (2) to find s:
s = 4j
s = 4(70/3)
s = 280/3
The solution to the system of equations is j = 70/3 and s = 280/3
In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.
Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
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if a number × is increased by 11,the result is 35.What is the number?
Answer:
24
Step-by-step explanation:
Equation: x + 11 = 35
1. Subtract 11 from both sides
x + 11 = 35
-11 -11
x = 24
Answer:
x is 24
Step-by-step explanation:
Let's write it down as an equation
If number x is increased by 11, we'll write is as x+11 and the result of that is 35, so x + 11 = 35
x + 11 = 35 implies that
x = 35 - 11
35 - 11 = 24
x = 24
A car shop has 12 mechanics, of whom 8 can work on transmissions and 7 can work on brakes. a) What is the minimum number who can do both? b) What is the maximum number who can do both? c) What is the minimum number who can do neither? d) What is the maximum number who can do neither?
Answer:both a and b are correct
Step-by-step explanation:
Write the numbers in increasing order with a comma separating eachnumber: 1.99, -3.45, 2.01, -3.42, 0.99
To write the numbers in increasing order, we start from the most negative to the most positive:
\(-3.45,-3.42,0.99,1.99,2.01.\)Answer
-3.45, -3.42, 0.99, 1.99, 2.01
Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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Find an ordered pair (x, y) that is a solution to the equation.
-x+2y=3
Answer:
answer attached
Step-by-step explanation:
use Excel to easily find MANY ordered pairs for the solution to the equation
write an equation for the line that passes through (7,-6) and is parallel to y=1/2x-8
Answer: y= -x + 1
Step-by-step explanation:
What is the cos A?Will give 15 points.
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
Joey would like to apply for a loan but knows that his high debt-to-income (DTI) ratio will probably get in his way
He would like to lower his DTI ratio by lowering the amount of his gross monthly income that goes to living
expenses.
Joey's current monthly expenses include a rent payment of $1,100, a $178 car payment, and a combined minimum
payment of $220 for his credit card debt. His current gross monthly income is $3,600. If Joey moves to a new
apartment, what is the maximum monthly rent payment he can make and still maintain a DTI ratio of 36%?
a $702
b. $898
$922
d. $960
more
C
Answer:
$898
Step-by-step explanation:
Based on Joey's debt-to-income ratio, the maximum monthly rent payment he can make and still maintain the DTI ratio is b. $898.
Monthly debt maximum paymentJoey has a DTI ratio of 36% which means that his maximum debt payment should be 36% of his income. This amount would be:
= DTI x monthly income
= 36% x 3,600
= $1,296
Maximum monthly rentThis can be found as:
= Maximum monthly debt payment - Car payment - Credit card payment
= 1,296 - 178 - 220
= $898
In conclusion, option B is correct.
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PLEASE HELPP
What is the value of m?
13m+3−56m=−15
m=−36
m=−27
m = 27
m = 36
Answer:
m = 18/43.
Step-by-step explanation:
13m + 3 − 56m = −15
13m - 56m = -15 - 3
- 43m = -18
m = 18/43.
Answer: plz mark me as brainiest
i took the test and its 36
What is the greatest common factor of 110, 40, and 120?
a
40
b
10
c
220
d
1
pls help
Answer:
10
Step-by-step explanation:
Because if you line up the numbers 10 is the least common factor of 110,40,120
Answer: b 10
Step-by-step explanation:
the prime factorization of 110: 2 * 5 * 11
the prime factorization of 40: 2^3 * 5
the prime factorization of 120: 2^3 * 3 * 5
the factor they all share is only 2, and they all share 5 but they dont all share 11 and 3. Multiply 2 * 5 = 10. SO 10 is the GCF (Greatest Common Factor) of 110, 40, and 120.
hope this helps!
the table and the scatter plot the total earning y(in dollars) of a food server who works x hours
Answer is B
y=16.9x+0.7
To Calculate line of best fit you can simply input the values into the stats function on your calculator and using the "Reg" function to get your values of the standard equation form of your line of best fit which is y=bx+a
b=16.9
a=0.7
I am a multiple of 6. I am also a multiple of 4. I am less than 30.
Who am I?
Answer:
12 and 24
Step-by-step explanation:
First, we need to list out the common multiples of 4 nd 6, less than 30
\(4 = 0.4,8,12,16,20,24,28\)
\(6 = 0.6,12,18,24\)
Then, we list out the common multiples
\(Common\ Multiple = 12,24\)
Since, only 12 and 24 fall in this category.
Then the number is either 12 or farm
Which of these polynomial functions is graphed below?
Answer:
B
Step-by-step explanation:
The \(y\)-intercept is \((0,27)\), eliminating all the options except for B.
in a class of 38 student,30 are good in mathematics and 22 are good in physics how many students are good in both mathematics and physics
Answer:
8 are bad in math and 16 in physics
Step-by-step explanation:
45 is added to the data set 9, 1, 9,7, 2
The new data set is the {54,46,54,52,47}.
According to the statement
We have to find that the value of the data set.
So, For this purpose, we know that the
A data set is a collection of related, discrete items of related data that may be accessed individually or in combination or managed as a whole entity.
From the given information:
45 is added to the data set 9, 1, 9,7, 2
It means the data set is the
{ 9, 1, 9,7, 2}
Then the number 45 is added into the each elements of the data.
Then
9+45 = 54
1+45 = 46
9+45 = 54
7+45 = 52
2+45 = 47.
The new data set is the {54,46,54,52,47}
So, The new data set is the {54,46,54,52,47}.
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Hank and lynn are paying off car loans.
·Hank paid $2,000 up front when he bought his car,and he pays 200$ each month.
·Lynn did not pay any money up front when she bought her car, and she pays 275$ each month.
Is the relationship between the number of months an the total amount paid proportional for both hanks and lynns loans?
A graph that shows the number of months and the total amount paid by hank would
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
A graph that shows the number of months and the total amount paid by lynn would.
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
the relationship between the number of months and the total amount paid is proportional for
A: lynns loans only
B: neither loans
C: both loans
D: Hanks loan only
Answer:
1.B 2.C 3.C
Step-by-step explanation:
Answer:
BCC
Step-by-step explanation:
A local Internet provider wants to test the claim that the average time a family spends online on a Saturday is at least 7 hours. To test this claim, the Internet provider randomly samples 30 households and finds that these families' mean number of hours spent on the Internet on a Saturday was 6 hours with a standard deviation of 1.5 hours. At a level of significance of 0.05, can the Internet provider's claim be supported?
A) Fail to Reject the Null Hypothesis
B) Reject the Null Hypothesis
C) Reject The Alternative Hypothesis
D) Fail to Reject the Alternative Hypothesis
E) Accept the Null Hypothesis
F) Accept the Alternative Hypothesis
Answer:
A) Fail to Reject the Null Hypothesis
Step-by-step explanation:
Given that:
A local Internet provider wants to test the claim that the average time a family spends online on a Saturday is at least 7 hours.
sample size = 30
sample mean \(\bar x\) = 6
standard deviation \(\sigma\) = 1.5
level of significance ∝ = 0.05
The null hypothesis and the alternative hypothesis can be computed as:
\(\mathbf{ H_o: \mu \leq 7}\)
\(\mathbf{ H_i: \mu \geq 7}\)
The test statistic can be computed as:
\(z = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)
\(z = \dfrac{6 -7} {\dfrac{1.5}{\sqrt {30}}}\)
\(z = \dfrac{-1} {\dfrac{1.5}{5.477}}}\)
\(z = \dfrac{-5.477} {1.5}\)
z = -3.65
Given that ;
level of significance of 0.05;
z = -3.65
degree of freedom = 30 - 1 = 29
The p-value = P(\(t_{29}\) > - 3.65)
= 0.9998
Decision Rule: Reject \(H_o\) if p-value is less than the level of significance
But since the p -value is greater than the level of significance, we conclude that There is no enough evidence to support the Internet provider claim, Therefore;
Fail to Reject the Null Hypothesis
1. Calculate the rate of change for the following data:
[x] [y]
-1 -7
2 5
7 25
10 37
A) 4. B) 2. C) 12.
Please help!
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
well, to get it all we need is two points, say hmmm let's use (-1 , -7) and (7 , 25)
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{25}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{25}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-1)}}}\implies \cfrac{25+7}{7+1}\implies \cfrac{32}{8}\implies 4\)
VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
Larger number: 22
The smaller number: 14
HOPE THIS HELPS
Which of the following shows a 90° counterclockwise rotation of the blue figure
Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $15, and each calendar costs $10. The entire order totaled $800.
Part A: Write the system of equations that models this scenario. (5 points)
Part B: Use substitution method or elimination method to determine the number of calculators and calendars ordered. Show all necessary steps. (5 points)
The system of equations is.
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
And the solutions are y = 50 and x = 10.
How to write and solve the system of equations?Let's define the two variables:
x = number of calculators.y = number of calendars.With the given information we can write two equations, then the system will be:
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
Now let's solve it.
We can isolate x on the first to get:
\(\text{x} = 60 - \text{y}\)
Replace that in the other equation to get:
\(15\times(60 - \text{y}) + 10\text{y} = 800\)
\(-2\bold{y} = 900 - 800\)
\(-2\bold{y} = 100\)
\(\text{y} = \dfrac{100}{-2} = \bold{50}\)
Then \(\bold{x=10}\).
Therefore, the solutions are y = 50 and x = 10.
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WILLL MARK BRAINLIEST IF GOTTEN RIGHT!!!! (CARIRDE)))) HELP GIRL!
Answer:
55°
Step-by-step explanation:
Let the centre of the circle be C
mFG=110 (It's hard to read but I assume thats what the 110 marks)
mFG=<FCG=110
Consider ΔFCG (an isosceles triangle since CF=CG=radius). Angles in a triangle add to 180 and <CFG=<CGF so <CFG=(1/2)(180-110)=(1/2)(70)=35°
<EFG+<CFG=90
<EFG+35=90
<EFG=55°