The solution to the system of equations expressed as a coordinate point is [tex](x.y)=(-1,1)[/tex]
To solve the system
[tex]3x + y = -2\\y = 2x + 3[/tex]
Note that [tex]y[/tex] is already made subject of formula in [tex]y = 2x + 3[/tex]. So substitute the value for [tex]y[/tex] into [tex]3x + y = -2[/tex] to eliminate [tex]y[/tex] and leave us with an equation with [tex]x[/tex]
[tex]3x + y = -2\\3x + (2x+3) = -2\\3x+2x+3=-2\\3x+2x=-2-3\\5x=-5\\\frac{5x}{5}=\frac{-5}{5}\\x=-1[/tex]
Substitute this value of [tex]x[/tex] into [tex]y = 2x + 3[/tex] to get the value of [tex]y[/tex]
[tex]y = 2(-1) + 3\\y=-2+3\\y=1[/tex]
The solutions are [tex]x=-1,y=1[/tex], or expressed as a coordinate point
[tex](x.y)=(-1,1)[/tex]
Learn more about systems of equations here: https://brainly.com/question/16763389
Find the domain and the range of the given relation {(-1,-5),(-3,0),(9,1),(1,9)}
Answer:
1,3,4,6,8} { 1 , 3 , 4 , 6 , 8 }. Range:{2,4,5,7,9}
Step-by-step explanation:
The domain is the set of all the values of x x . The range is the set of all the values of y y .
For the trig function f(0)=sin(0) whats the input variable
For the trig function g(0)=cos(0) whats the input variable
For the function f(0)=sin(0), 0 is the input variable while f(0) is the output.
For the function g(0)=cos(0), 0 is the input variable while g(0) is the output.
The standard form of representing trigonometry functions is f(x) = sinx or f(x) = cos x
From the functions:
x is the input variable (also known as the domain)y is the output variable also known as the range;Given the trig function f(0)=sin(0), compared with the general equation, we can see that 0 is the input variable while f(0) is the output.
Similarly for the function g(0)=cos(0), 0 is the input variable while g(0) is the output.
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Does favorite food depend on your gender? A survey asks a group of college students about their favorite foods. It also groups the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.
Sushi Pizza Hamburgers Row Total
Men 19 16 21 56
Women 19 11 13 43
Column Total 38 27 34 99
The null and alternative hypotheses are:
H0: The two variables are independent, so gender does not affect favorite food.
Ha: The two variables are dependent, so gender does affect favorite food.
Compute the test statistic, rounded to one decimal place.
Answer:
Yes, it does
Step-by-step explanation:
More Men like the Pizza and Hambugers more than the girls. Both like shushi Equaly but 2 beats 1 am a right.
Please look for the question in the picture.
it will be c
as
negative with negative erased together
what is the domain and range of : {(2,4) (3'6) (4,8) (5,10) (6,12)}
Answer:
2,3,4,5,6 is the domain
4,6,8,10,12 is the range
Step-by-step explanation:
Answer:
The domain is {2,3,4,5,6} and the range is {4,6,8,10,12}.
Step-by-step explanation:
If A is the center of the circle which of these is the radii
Answer:
A-b because radius is the line segments from its center to its perimeter
Step-by-step explanation:
What is the least multiple 6 and 8 have in commen explain
the first several multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 the first several multiples of 6 are 6: 12, 18, 24, 30, 36, 42, 48, 54, 60
If Sandy memorizes 9 verses every 2 days, how many verses will Sandy memorize in 4,6, and 8 days. Write equivalent ratios to show the answer.
Answer:
4 Days = 18
6 Days = 27
8 Days = 36
4:18
6:27
8:36
Step-by-step explanation:
Answer:
4 days: 18 verses
6 days: 27 verses
8 days: 36 verses
Step-by-step explanation:
If Sandy memorized 9 verses every 2 days then to find how many she can memorize in 4, 6 and 8 days you multiply.
2 days: 9 verses (Multiply 2 times 2 to get how many she can memorize in 4 days. Multiply 2 times 3 to get 6 days. Multiply 2 times 4 to get 8 days. Then multiply the number of verses with the same number you multiplied the number of days.)
4 days: 18 verses
6 days: 27 verses
8 days: 36 verses
Help help math I’ll give points thanks
Answer:
x=13
Step-by-step explanation:
8x-20=4x+32
start by moving the terms,
8x-4x=32+20
combine
4x=52
divide each side by 4
x=13
John Marlow's total income last year was $31,300. Of that amount, he spent
$7,900 for food. What percent of Jon's total income did he spend for food? *
25%
40%
50%
85%
Based on the information given the percent of Jon's total income did he spend for food is 25%.
Using this formula
Percent of total income=Amount spent for food/Total income last year
Where:
Amount spent for food=$7,900
Total income last year=$31,300
Let plug in the formula
Percent of total income=$7,900/$31,300
Percent of total income=25%
Inconclusion the percent of Jon's total income did he spend for food is 25%.
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When h = π, the orange graph shifts
units to the
.
Answer: it shifts units to the right.when h=-π it shifts units to the left
Step-by-step explanation: positive pi goes to the right, negative to the left
#13) Mrs. Frye says that the following triangles are congruent. Is she correct? Why or why not?
Answer: The following triangles are congruent.
How much does Bethany spend in week 4?
Please look for the question in the picture.
the answer for this question is a: -9/-8
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
There are two types of packages that are available for hotel stay
- you can use the hotel unlimited for $500 a month
- Or you can spend $50 a day per visit.
Enter an equation that can be used to find the number of visits per month needed for the two packages to cost the same amount
Answer:
for one month 500$
for daily visit 50$
500$=50$*x days
x days=500$/50$
x days = 10 days
10 days of daily visits costs 500$ equal to one month
Is the sentence Equivalent or non equivalent 12:24,50:100
Therefore, the sentence is Equivalent.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find BC.
А В
С
ош
=
=
AD = 10.5
AB = 2
СЕ = 11.5
AE = 15
BC = [?]
=
Answer:
8,5
Step-by-step explanation:
BC=AD-AB
BC=10,5-2
BC=8,5
jjjjjhfvkicdcghgfc ghcvh,glv,kghc ,h..
Answer:
0
Step-by-step explanation:
Can someone help me plssssssssss
Jack wanted to go sledding. When he looked at the thermometer at 10:00 am the temperature was -10°F. He called his friends and they agreed to meet at their favorite sledding hill at 3 pm. Right before he left to meet his friends, he checked the thermometer again. The temperature was now 15°F. How many degrees did the temperature change from 10 am to 3 pm?
Answer:
25 degrees
Step-by-step explanation:
If its 15 when hes about to leave and -10 when he first checked it shou. be 25
Answer:
answer is 25
Step-by-step explanation:
...........
The diagonal of an isosceles trapezoid with angle to the base is equal to 30. Find the length of the height of the trapezoid if it is known that the midline of this trapezoid is equal to 8 cm.
Answer:
4.62 cm to nearest hundredth.
Step-by-step explanation:
If the parallel sides are x and y then:
x + y = 2*8 = 16
x + y = 16
If we drop a perpendicular line from one of the upper points on the trapezoid we have the height. Let the upper point be C and the point on the base be A. Let the point on right of the base be B.
AC is the height of the trapezoid. AB is the baseline of the triangle CAB.
In triangle CAB the angle B is 30 degrees.
As this is a 30-60-90 degree triangle
AC/AB = 1/√3 so AC = AB/ √3.
As the trapezoid is isosceles:
AB = x + 0.5(y - x)
AB = 0.5x + 0.5y
So AC = 1 /√3 (0.5x + 0.5y)
= 1 /√3 (0.5x + 0.5(16 - x)) (Substituting for x)
= 1 /√3 (0.5x + 8 - 0.5x)
=8 / √3
. = 4.6188 cm
Solve for x please help me
Answer:
30
Step-by-step explanation:
all angles add up to 180*, 180-90=90, 90=3x, 30=x
Answer:
x = 30
Step-by-step explanation:
One side is 90 so the other two sides have to add up to 90 too because a triangles' angles have to add up to 180.
So, we can write that 2x + x = 90
Then we can solve for x:
2x + x = 90
3x = 90
x = 30
3 1/3 of it is 10
I need help!
Not sure what your asking but i know from 3 1/3 of it is 10 means 3 1/3 equals 1/3rd of 10 but please tell me what your asking in the comment section ty
Please help me answer
Answer: Second Choice
Step-by-step explanation:
What is the value of a on the triangle below?
Answer: answer 56 I’m the goat lol
Step-by-step explanation:
subtract 107 from 180 and you get 73 that’s one corner 73 +51 =124 and 180 - 124 = 56
What is the range of y = sin x?
A. In
72 T
o
B. -1Sys1
c. -1SIS 1
o
D. All real numbers
Answer:
See below
Step-by-step explanation:
The function [tex]f(x)=sin(x)[/tex] oscillates between -1 and 1, so the range is [tex]-1\leq x\leq 1[/tex].
Carson bought 50 pounds of rice for his restaurant. He cooked the rice and wanted to evenly divide it into 9 containers to be served later. How many pounds of rice should Carson put in each container?
help plss
Answer:
Step-by-step explanation: there you go
Factorize the expressions
px2 + qx
Answer:
SOLUTION
HERE,
=X(P.2+Q)
=X(2P+Q)
Answer:
x(px+q) ( I took x as a common and the remaining are some
what does the u stand for in these problems? is it the same as r?
I think "u" stands for units. [tex]u^2[/tex] means units squared which is like saying ft^2 if you were looking for the area of something with feet dimensions. So in this case, the circle has a diameter of x units (u) and an area of x units^2 ([tex]u^2\\[/tex]). It is not the same as r. "r" is most always going to be used to represent the radius.