Answer:
Yes.
Step-by-step explanation:
A function is a set of relations without repetitive domains.
From the given relation, there are no repetitive domains. Thus our relation here is a function.
Example of Function
{(1,1), (2,2), (3,3), (4,4), (5,5)}
Example of Non-Function
{(1,1), (1,2), (2,3), (3,4), (4,5)}
From this relation, there are two repetitive domains which are 1's. Thus not making the relation a function.
30 points each answer Math
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? Check all that apply.
Choices are in picture. Please only real answers.
Answer:
B and D (another answer but not sure about the other one)
Answer: A and B
Step-by-step explanation: I just did it
the sum of third and seventh terms of an AP is 20 . Find the sum of the first nine
Given:
The sum of third and seventh terms of an AP is 20.
To find:
The sum of the first nine terms.
Solution:
We have, the sum of third and seventh terms of an AP is 20.
[tex]a_3+a_7=20[/tex] ...(i)
nth term of an AP is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_3=a+(3-1)d[/tex]
[tex]a_3=a+2d[/tex] ...(ii)
[tex]a_7=a+(7-1)d[/tex]
[tex]a_7=a+6d[/tex] ...(iii)
Using (i), (ii) and (iii), we get
[tex](a+2d)+(a+6d)=20[/tex]
[tex]2a+8d=20[/tex] ...(iv)
Now, the sum of first n terms of an AP is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Put n=9 to find the sum of first 9 terms of an AP.
[tex]S_n=\dfrac{9}{2}[2a+(9-1)d][/tex]
[tex]S_n=\dfrac{9}{2}[2a+8d][/tex]
[tex]S_n=\dfrac{9}{2}[20][/tex] [Using (iv)]
[tex]S_n=\dfrac{180}{2}[/tex]
[tex]S_n=90[/tex]
Therefore, the sum of the first 9 terms is 90.
Solve each system using substitution or elimination. Show all required work. Y=-5x^2+2x-3 Y=-3x-3
Step-by-step explanation:
y = -5x² + 2x - 3 and y = -3x - 3.
=> -5x² + 2x - 3 = -3x - 3
=> 5x² - 5x = 0
=> 5x(x - 1) = 0
=> x = 0 or x = 1.
When x = 0, y = -3(0) - 3 = -3.
When x = 1, y = -3(1) - 3 = -6.
The solutions are (0,-3) and (1,-6).
The table represents a Linear function, what is the slope of the function?
Answer:
m = 3
Step-by-step explanation:
Pick two points from the table.
(-1, 1) and (1, 7)
Apply the slope formula.
[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]
Hope this helps.
a store has 5 cans of soup for 15 dollars.How much is per can
Answer:
3 dollars
Step-by-step explanation:
5 cans= 15 dollars
1 can = 15/5= 3
3 dollars
he results of a survey are shown below. In the survey, 12 students said that they would like to learn French. How many of the students surveyed would like to learn Spanish?
A drawing shows a result of a survey on a piece of paper. It shows the percent of students who like to learn different languages. It shows the percentages as Spanish, 36; French; 24; German, 18; other, 22.
Answer:
18 students
Step-by-step explanation:
Now think of it in this form. 12 students wanna learn french which is 24% and in this problem we have to find 24% of "x" is 12. The answer is obviously 50. Now go to German and you can see that 18% want to learn German. All you have to do is find 50% of 18 to get your answer which is 9. Now follow that same pattern with the Spanish one. If 36% want to learn Spanish, just find 50% of it or half of it and that could be done by doing 36 divided by 2 to get 18 as your answer. Another way to do it is my turning 50% into 0.5 and multiplying it by 36 to get your answer. As a result, your answer is 18 students want to learn Spanish.
will give brainly
show work
23-5•4-2(6-1)
Answer:-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
so you have to do PEMDAS
first parenthesis 6-1 is 5
then multiplication 5x4 is 20
the subtraction 23-20-2(5)
2x5=10
23-20=3
3-10=-7
What is the decimal multiplier to increase by 81%
Answer:
multiply by 1.81
Step-by-step explanation:
5x + 24 + 5(x + 5)
HELP FAST
5x+24+5(x+5)
Distribute:
=5x+24+(5)(x)+(5)(5)
=5x+24+5x+25
Combine Like Terms:
=5x+24+5x+25
=(5x+5x)+(24+25)
=10x+49
Answer:= 10x+49
solve for x
10x =-49
10/10x -49/10
x= -4.9
Hope this helps
PLS HELP
(the second page has the options)
Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip of the day.
Give the domain of the function and relate the domain to the relationship described
The coordinate plane shows Line A B.
What is the length of the line segment?
Answer:
13
Step-by-step explanation:
The length of the line segment is 13 unit.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.
(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)
We are given that coordinate plane shows Line A B.
We need to find the length of the line segment.
We can see that the graph has 1 unit equal to 1 cm.
Then the coordinate for Point B is (5, 13)
The length of the line segment is 13 unit.
Learn more about line segment here:
https://brainly.com/question/14186383
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Which is the solution of the quadratic equation (4y - 3)2 = 72?
( O
A y= 3 +677 and y = 3-6v2
€
D y = 3 +672 and y =
-3-6√
4
O y= 92 and y= -312
4
4
O y = 9/7 and y = 32
Answer: 2 one number 2
Step-by-step explanation:
It's is number 2
The required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
What is simplification?
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
Given expression, (4y - 3)² = 72
Simplifying the above expression:
(4y - 3)² = 72
4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4
Thus, the required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
Learn more about simplification here:
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The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38
Work out the cost of a 2.4-metre length of cloth.
Answer:
[tex]x = \$28.5[/tex]
Step-by-step explanation:
Given
Variation: Direct Proportion
[tex]3.2m = \$38[/tex]
Required
Determine the cost of 2.4m length
Represent the cost of 2.4m length with x
So, we have:
[tex]3.2m = \$38[/tex]
and
[tex]2.4m = x[/tex]
Cross Multiply:
[tex]3.2m * x = \$38 * 2.4m[/tex]
[tex]3.2 * x = \$38 * 2.4[/tex]
Solve for x
[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]
[tex]x = \frac{\$91.2}{3.2}[/tex]
[tex]x = \$28.5[/tex]
Hence, the cost of 2.4m length is $28.5
Subtract to find the value of 15(2/3-2/5)
Answer:
[tex]4[/tex]
Step-by-step explanation:
Simplify the expression
Triangle GHI with vertices G(4, 1), H(5, -4), and I(2, -8) REFLECTED over the line y = x.
Answer:
[tex]G' = (1,4)[/tex]
[tex]H' = (-4,5)[/tex]
[tex]I = (-8,2)[/tex]
Step-by-step explanation:
Given
[tex]G = (4,1)[/tex]
[tex]H = (5,-4)[/tex]
[tex]I = (2,-8)[/tex]
Reflection: [tex]y = x[/tex]
Required
Determine the coordinates of G'H'I'
The following applies when a line A is reflected over [tex]y = x[/tex]
[tex]A = (x,y)[/tex]
[tex]A' = (y,x)[/tex]
i.e, we simply swap the positions of x and y
So, for:
[tex]G = (4,1)[/tex]
[tex]H = (5,-4)[/tex]
[tex]I = (2,-8)[/tex]
The reflections are:
[tex]G' = (1,4)[/tex]
[tex]H' = (-4,5)[/tex]
[tex]I = (-8,2)[/tex]
See attachment
34. Find the equation of the straight line which
.
passes through the point (3,1) and makes
intercepts on the axes the difference of
whose length is 4.
Answer:
The equation of the straight line passing through the point ( 3,1 )
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Step-by-step explanation:
Step(i):-
The equation of the straight line passing through the point ( 3,1 )
[tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]
[tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]
3b + a = ab ...(i)
Given the difference of length is 4
a-b = 4
b = a - 4 ...(ii)
Step(ii):-
substitute b=a-4 in equation (i) , we get
3( a-4 ) + a = a (a-4)
3a - 12+ a = - 4 a + a²
a² - 8 a + 12 =0
Find the factors of 'a'
a² - 6a -2a +12 =0
a (a-6) -2(a-6) =0
a =2 and a=6
we know that a-b =4
put a = 2
2 - b =4
b = -2
The equation of the straight line whose intercepts on the axes
[tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
The equation of the straight line
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Verification:-
The equation of the straight line passing through the point (3,1)
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Put x =3 and y=1
[tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]
1 = 1
∴ The point (3,1) is satisfies the equation
claire mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate. Han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate. whose orange juice mixture tastes stronger? explain and show your reasoning
Answer:
Han's mixture tastes stronger, because...
Han's uses 6 2/3 cups of water for every 1 cup of orange juice concentrate.
Clare uses 7 1/2 cups of water for every 1 cup of orange juice concentrate.
Step-by-step explanation:
Claire
Cups of water = 2 1/2 cups
Cups of orange juice = 1/3
Cups of water for every cup of orange juice = 2 1/2 ÷ 1/3
= 5/2 × 3/1
= 15/2
= 7 1/2
Han:
Cups of water = 1 2/3 cups
Cups of orange juice = 1/4 cups
Cups of water for every cup of orange juice = 1 2/3 ÷ 1/4
= 5/3 × 4/1
= 20/3
= 6 2/3
Find the relation and solve the answers. Options are given below.
Answer:
The correct option is;
A. 453
Step-by-step explanation:
The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779
Similarly the factors of 926 are 1, 2, 463, 926
Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;
For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;
Top number divided by 2 gives 14/2 [tex]{}[/tex] = 7
Bottom left number divided by 3 gives 21/3 [tex]{}[/tex] = 7
Bottom right number divided by 4 gives 36/4 = 9
From which we have the number at the center which is 779
Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;
Top number divided by 2 gives 18/2 [tex]{}[/tex] = 9
Bottom left number divided by 3 gives 6/3 [tex]{}[/tex] = 2
Bottom right number divided by 4 gives 24/4 = 6
From which we have the number at the center which is 962
Therefore, when we have, the numbers at the vertices as follows;
At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;
Top number divided by 2 gives 8/2 [tex]{}[/tex] = 4
Bottom left number divided by 3 gives 15/3 [tex]{}[/tex] = 5
Bottom right number divided by 4 gives 12/4 = 3
From which we have the number at the center is 453.
I needddd helpppppppp
Answer:
B the second one -1/3
Step-by-step explanation:
hopefully this helps
A farmer is selling apples from his orchard. He uses the equation c = 1.6pto calculate the total cost, c, for every pound of apples, p.
a.) How much does a customer pay for 1 pound of apples?
b.) How much would 8.5 pounds of apples cost?
c.) A customer spent $5.20. How many pounds of apples did they purchase?
Answer:
A) $1.60
B) $13.60
C) 3 1/4 lb
Step-by-step explanation:
What we know:
A farmer uses the equation c = 1.6p to calculate the total cost, c, for p pounds of apples.
A) 1 pound would cost $1.60, as that is the unit rate.
B) 8.5 * 1.6
8.5 + (0.6 * 8.5)
8.5 + 5.1 = $13.60 for 8 1/2 lbs of apples.
C) 5.2/1.6
52/16
13/4 = 3 1/4 lbs of apple for $5.20
At a six grade graduation celebration there are 80 students and 40 parents.What fraction of the ratio of students to the total number of people at the graduation
Answer:
2/3
Step-by-step explanation:
Given that:
Number of students = 80
Number of parents = 40
fraction of the ratio of students to the total number of people at the graduation
Total number of people at graduation =. (number of students + number of parents)
80 + 40 = 120
Number of students : total people
80 : 120
80/120 = 8/12 = 2/3
All the questions are similar but I need help
2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x
3. Explain and correct the error made by a student who simplified this expression.
–2 + 7(x + 8)
5(x + 8)
5x + 40
4. Explain and correct the error made by a student who simplified this expression.
–2x – 4x + 8y – y
(–2 – 4)x + (8 – 0)y
–6x + 8y
Answer:
Step-by-step explanation:
2) They distributed an x out of the term with out one. that is the 8
so the expression should be 5x +8
3) They didn't follow order of operations and took 2 away from the 7 before they distributed the 7 :O very bad of them
the expression should be 7x + 54
4) They distributed out the y but didn't leave a 1 so the problem lost a term.
the expression should be -6x + 7y
Please help!
Sin A =
Sin C =
Cos A =
Cos C =
I’ll give brainliest!!
Answer:
sin A= 3/5
sin C= 4/5
cos A= 4/5
cos C= 3/5
Step-by-step explanation:
Please see the attached picture for the full solution.
Assuming that any skirt can be paired with any blouse, in how
many ways can Anna select her outfit? List the possibilities.
BRO I NEED HELP THIS DUE IN 4 MINS!
Answer:
440 computers in warehouse B
Step-by-step explanation:
1030=A+B
A=b+150
replace the formula.
a=b+150
so replace the "a"+b=1030
so then it'd be b+150+b=1030
now that's easy.
2b+150=1030
-150 -150
2b=880
/2 /2
b=440
please help
The map of a biking trail is drawn on a coordinate grid.
The trail starts at P(−2, 2) and goes to Q(5, 2).
It goes from Q to R(5, −5) and then to S(8, −5).
What is the total length (in units) of the biking trail?
10
16
17
18
Answer:
17 units
Step-by-step explanation:
Distance between points [tex](a,b)\,,\,(c,d)[/tex] is given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
The trail starts at P(−2, 2) and goes to Q(5, 2).
Take [tex](a,b)=(-2,2)\,,\,(c,d)=(5,2)[/tex]
[tex]PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7[/tex] units
It goes from Q to R(5, −5)
Take [tex](a,b)=(5,2)\,,\,(c,d)=(5,-5)[/tex]
[tex]QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7[/tex] units
It goes from R to S.
Take [tex](a,b)=(5,-5)\,,\,(c,d)=(8,-5)[/tex]
[tex]RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3[/tex] units
[tex]PQ+QR+RS=7+7+3=17[/tex] units
how to solve using Substitution or Elimination??? Help!!!
y=3x-1
y=2x+2
Answer:
x=3
y=8
Step-by-step explanation:
the given equations are y=3x-1 --------(1)
and y=2x+2---------(2)
Using substitution method,
and solving y=3x-1
y+1=3x
or y+1/3 =x ------(3)
Putting the value of x= y + 1 / 3 in equation 2
y= 2x+2
or, y = 2 ( y + 1/3) +2
or, y= 2y + 2 / 3 +2
or, y = 2y + 2 + 6 // 3 ( Taking LCM)
Or, 3 y = 2y + 2 + 6 ( the denominator gets multiplied to y)
OR, 3 Y - 2Y =6 PLUS 2
or y = 8
therefore, y=8
now substituting the value of y=8 in equation (3)
y + 1 /3 = x
or ,,, 8 plus 1 by 3 =x
or,,,,, 9 by 3 =x
Therefore, x is 3
They all have to be simplified
Find the third side in simplest radical form:
Answer:
9 1/2
Step-by-step explanation:
i think think this may be the anwser