(x,y) = (3,2)
y = x - 1
2 = 3 - 1
2 = 2
y = -x + 5
2 = -3 + 5
2 = 2
If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, The system of equation y = x - 1 and y = - x + 5 has a
solution (3, 2).
If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.
For,
y = x - 1.
At, x = 3,
y = 3 - 1
y = 2 (satisfied).
For,
y = - x + 5.
At, x = 3,
y - 3 + 2.
= 2 (satisfied).
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is it possible to form a triangle with the given side lengths? 15 yd,16yd,30yd
Answer:
YesExplanation:
15 < 16+30
16 < 15+30
30 < 16+15
Find the solution of the system of equations.
15x – 4y = -50
3x – 2y = –16
Answer:
x=-2, y=5. (-2, 5).
Step-by-step explanation:
15x-4y=-50
3x-2y=-16
---------------
15x-4y=-50
-5(3x-2y)=-5(-16)
------------------------
15x-4y=-50
-15x+10y=80
-------------------
6y=30
y=30/6
y=5
3x-2(5)=-16
3x-10=-16
3x=-16+10
3x=-6
x=-6/3
x=-2
pls help and neatly show work
Answer:
Step-by-step explanation:
(2x^2 + 10x + 7x + 35) - (x^2 - 3x + 5x - 15)
x^2 + 15x + 50
(x + 5)(x + 10)
x = -10
Step-by-step explanation:
a
(x+5)(2x+7)-(x+5)(x-3)
factorize (x+5) out
(x+5)[(2x+7)-(x-3)]
(x+5)(2x+7-x+3)
(x+5)(2x-x+7+3)
(x+5)(x+10)
b. to get the zeros of the equation,
(x+5)(x+10)=0
x+10=0
x=-10
since the other one has been found already
a movie theater has 15 rows of State each rows have 24. if there where 28 empty seats during one show how many people where there?
Answer:
332
Step-by-step explanation:
To find how many seats there were, multiply the number of rows with the number of seats in each row:
15 (24) = 360
From these total seats, there are 28 empty seats, meaning:
360 - 28 = 332
There were 332 people.
simplify the expression
Answer:
[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}[/tex]
Step-by-step explanation:
We have the expression:
[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}[/tex]
The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:
[tex](\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}[/tex]
Now we can directly add the terms to get:
[tex]\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}[/tex]
We can't simplify this anymore
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 54
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 36 + 90 = 180
x + 126 = 180
x = 180 - 126
x = 54
Mhanifa please help!!!
Answer:
B. rhombusStep-by-step explanation:
This is not a square or rectangle because of the 94° angle
All sides are equal, it is a rhombus
When y varies proportionally with x, what is k when x = 50 and y = 375?
Answer:
x/375=50/100 if its a percent
Step-by-step explanation:
Which statement is true for ALL quadratic functions?
All quadratic functions have a maximum point.
All quadratic functions have a domain of all real numbers.
All quadratic functions have a range of all real numbers.
All quadratic functions have a minimum point.
Answer: All quadratic functions have a domain of all real numbers.
Step-by-step explanation:
This is URGENT please help!
Answer:
x=1
It's the line that runs through the vertex (1,9), essentially creating mirror images on both sides
Which equation is equivalent to the equation below? (NO LINKS)
Answer:
The answer is A
Step-by-step explanation:
It is 2x+3=40
Find the equation of the straight line passing through the point (0, 1)
which is perpendicular to the line
y=-2x + 2
Step-by-step explanation:
y=-2x+2 point(0,1)m1=2=m1×m2=-1
-2×m2=-1=-2m=-1(÷ both sides by -2) M2=1/2 equation 1/2=y-1/x-0 2(y-1)/(x-0)1=2y-2=x-0 y=mx+c=2y=x-0+22y=x+2 (÷all sides by 2)
Ans=y=1/2x+1Can you fill in the blanks. Thx
Answer:
Answer is below
Step-by-step explanation:
A figure is shown on the grid. Which of the transformations
would NOT lead to a figure that is congruent to the figure
shown?
Select one:
1-Dilation
2-Reflection
3-Rotation
4-Translation
iLL GIVE BRAINLIEST IF YOU ANSWER THEM
Answer:
Step-by-step explanation:
PLEASE HELP!!!!! I'll make brainliest!
number 3
Step-by-step explanation:
Plz help me!!!!!!!!! Btw I am also doing it bc when u select the box you have to answer the fraction but I can do that!
Answer:
1) B
2) A
Hope it Helps!
:)
Ashley ate exactly one-third of the peanuts in a dish. Then, Emily ate exactly one-fourth of the remaining peanuts in the dish. Lastly, Isabella ate exactly one-fifth of the remaining peanuts in the dish. What is the least number of peanuts that could be in the dish when Isabella finishes? [Whole peanuts may not be split into smaller parts.]
Answer:
12 peanuts
Step-by-step explanation:
use algebra using the given ratios...and use trial and error to find the total number of peanuts.
multiply that by the final ratio.
y= x+14 , x+ 2y= 36, find x and y and show solution pls
Answer:
Solve the equation for x.
The simplified system is the arbitrary solution of the original system of equations.
Y=x+14
y=18−x2
Reorder 18
and −x2.
y=−x2+18
Y=x+14
Solve the equation for Y.
Y=−2y+50
x=36−2y
Reorder 36
and −2y.
x=−2y+36
Y=−2y+50
Step-by-step explanation:
Step-by-step explanation:
given
[tex]y = x + 14 \\ y - x = 14 \\ - x + y = 14[/tex]
as equation 1
and
[tex]x + 2y = 36[/tex]
as equation 2.
We will now use elimination method to solve simultaneous equations.
We will use equation 1 + equation 2 to eliminate x and solve for y.
[tex] - x + x + y + 2y = 14 + 36 \\ 0 + 3y = 50 \\ 3y = 50 \\ y = 50 \div 3 \\ = \frac{50}{3} \: or \: 16 \frac{2}{3} [/tex]
Now substitute y into equation 1.
[tex]y = x + 14 \\ x + 14 = y \\ x = y - 14 \\ x = 16\frac{2}{3} - 14 \\ = 2 \frac{2}{3} [/tex]
If a1=7and an=-2an1 then find the value of a5
Answer:
wonderful
Step-by-step explanation:
a5= A1=7 an=2an1
an16
53, 13, 34, 41, 26, 61, 34, 13, 69 4) Mean : Median Mode : Range:
Answer:
Mean: 34.8
median:34
Mode: 13,34
Range:65
Step-by-step explanation:
The value of Mean is 34.4
The value of Median is 34 (middle term)
The value of Mode is 13 and 34.
The value of Range is 56.
Here,
The data set is,
53, 13, 34, 41, 26, 61, 34, 13, 69
We have to find the value of Mean , Median , Mode and Range.
What is Range of the data set?
To find Range of the data set we have to find the difference of highest and lowest number of the set.
Now,
The data set is,
53, 13, 34, 41, 26, 61, 34, 13, 69
Firstly we arranged in the ascending order we get;
13, 13, 26, 34, 34, 41, 53, 61, 69
The Mean of data set is calculated as;
Mean = [tex]\frac{13+13+ 26+ 34+ 34+41+ 53+61+ 69}{9} = \frac{310}{9} = 34.4[/tex]
Hence, The value of Mean is 34.4
And, The Median is calculated as,
There are nine numbers (odd) in the data set, so the median is the middle value of given data set after arranging in ascending order.
Hence, The value of Median = 34 (middle term)
Now, The Mode is the number that appears most often within a data set.
In the data set,
13, 13, 26, 34, 34, 41, 53, 61, 69
Number 13 and 34 repeat two times.
So, The value of Mode = 13 and 34
Now, To find Range of the data set we have to find the difference of highest and lowest number of the set.
Here, In the data set;
The highest number = 69
The lowest number = 13
Hence, Range = 69 - 13 = 56
Therefore,
The value of Mean is 34.4
The value of Median is 34 (middle term)
The value of Mode is 13 and 34
The value of Range is 56
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A hawk soars 120ft in the sky. Nearby, a small rabbit munches clover. If the angle of depression from the hawk to the rabbit is 35. degrees, what is the distance between the hawk and the rabbit?
Answer:
5
Step-by-step explanation:
On a package of rice, the directions say that the ratio of cups of water to cups of uncooked rice should be 1 : 1
2
How many cups of water should be used to cook 1 cup of
2 uncooked rice?
The cups of water should be:
2 x 12 = 24 ( cups of water )
What is the value of s
Answer:
Where is the problem?
Step-by-step explanation:
-5x-2
Multiply the following
Answer:
Step-by-step explanation:
-7x
Answer:
=. -10
if you are owing someone $5and another person $2when you multiple you will get 10. Since it's in the negative form you add the sign={-10}
What would be the next step?
We are trying to prove that BD bisects angle ADC.
Answer:
6.∠ADB = ∠BDC reason :(CPCTC)
7.BD bisects ∠ADC reason :(From statement 6)
Hope it helps you........
Justin has scored 27, 20, and 26 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 25 points per game? points
Answer:
27
Step-by-step explanation:
The answer is 27, since the mean of 20, 26, 27, 27 is 27. I hope you enjoy. Take care
HELP PLEASE JJFFNFNFNF
Answer:
A.
17 vs 18, not trueB.
TrueC.
Mean:
(4*5 + 5*3 + 6*2 + 12 + 13*4 + 14*2)/17 = 8.17Median:
6Mean ≠ median, not true
D.
14 - 4 = 109 - 3 = 6, 10 > 6, not trueAnswer:
B
Step-by-step explanation:
Option B is correct because from the data it's visible that all the data are around 6 miles in other words clustered. In Class A half of them are on left and half are on right. Option A is wrong because there are 17 students in class A and 18 students in class B.
Option C is wrong because the mean is 8.2 and the median is 6.
To find mean add up all the miles the students chose and divide by total students (4+4+4+4+4+5+5+5+6+6+12+13+13+13+13+14+14)/17 = 8.2
To find the median line up all the numbers and find the one in middle. It's 6.
Option D is wrong because the range for class A is (14-4)=10
and class B is (9-3)=6. So the range of class A is greater than class B.
To find range maximum value-minimum value
In April Jayveis sent 675 test messages in may jayveis sent 621 text messages by what percent did the number of text messages decrease from april to may
Answer:hi
Step-by-step explanation:
Last summer, a sports club had 370 members. This summer, due to some renovations, it has
10% fewer members. How many members are there now?
members
Submit
Answer:
333 members
Step-by-step explanation:
10% of 370 is 37
370-37=333