Answer:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
Step-by-step explanation:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
What is system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
According to the question,
1. The system contains infinitely many solutions.
This stands wrong because according to the graph, there exists only one solution- where the lines intersect.
This would only be correct if the lines never intersect.
2. A solution to the system exists (-1, -2).
This exists true because this stands as the only point where the lines intersect.
3. A solution to the system exists (0, -1).
This is correct because the y-intercept for the red line stands at -1 and the slope of the equation is 1.
4. One of the equations exists 3x+y = -5.
If you put this into slope-intercept form, you will discover that the equation exists y =-3x -5.
This stands correct because the y-intercept of this stands -5 and the slope of this stands -3.
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PLS PLS PLS HELPPP please...
Answer: x=12
Step-by-step explanation: 10(x−3)=90
(10)(x)+(10)(−3)=90 (Distribute)
10x+−30=90
10x−30=90
Step 2: Add 30 to both sides.
10x−30+30=90+30
10x=120
Step 3: Divide both sides by 10.
x=12
Find the value of "n" in the following equation
( n^2 x n = 216 )
plz answer asap
Answer:
Yoy add them to be 2n squared then divide by 2 on both sides then take the square root
Roosevelt High School is known for their marching band's attention to detail. Each band member makes sure that every step is exactly 2 feet so that the whole group stays in sync as they march across the football field. For the first part of their performance, every band member starts on the 50-yard line and marches to the 40-yard line. How many steps does each band member take for this part of the performance
Answer:
15 steps
Step-by-step explanation:
Simplify the following:
a) 3^2x3^2
b) 7x7^4
c) 10^9/10^7
d) 5^8/5
Answer:
see attached
Step-by-step explanation:
pleass see attached
Page No.
Date :
33
2
4 Cosin 4 Go + eces4 300 3 citan
60 - tan245) + 5 ecos? 45.
Emir flew home from vacation with a heavy bag. With the first airline he flew, Emir had to pay $20 to check his bag, plus $10 for every pound that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Emir had to pay $5 per pound that his bag was over the weight limit, in addition to the checked bag fee of $30. By coincidence, the fees ended up being the same with both airlines. How large was each airline's fee?
Answer:
$27.5
Step-by-step explanation:
Let
x = pound over weight limit
Airline 1 = 20 + 10x
Airline 2 = 5 + 30x
Equate the fees
20 + 10x = 5 + 30x
20 - 5 = 30x - 10x
15 = 20x
x = 15/20
x = 0.75 pounds
How large was each airline's fee?
Airline 1 = 20 + 10x
= 20 + 10(0.75)
= 20 + 7.5
= $27.5
Airline 2 = 5 + 30x
= 5 + 30(0.75)
= 5 + 22.5
= $27.5
GEOMETRY Identify the segment bisector of (FG) . Then find (FG)
Answer:
The segment bisector of FG is HI because it splits it into two equal parts. Since point F to the bisector equals 33 and the bisector to point G is the same, that would also be 33. 33+33=66=FG
Step-by-step explanation:
The measurement of the line segment FG is 66 units.
We need to identify the segment bisector of FG and then find FG.
What is the bisector of the line segment?A segment bisector is a line, a ray, a line segment, or a point that cuts a line segment at the centre dividing the line into two equal parts. The word segment can also be referred to as line segment which means a segment is a part of the line that has fixed endpoints. The word bisect means cutting any object or line into two equal halves. Hence, a segment bisector is referred to as when two line segments bisect or cut each other at a point dividing the lines into equal halves.
From the given figure, HI is the bisector of the line segment FG.
Given that, 1/2 (FG)=33 units
⇒FG=66 units
Therefore, the measurement of the line segment FG is 66 units.
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Enter a range of values for x.
a
a
3x-90 930
26
27
[? ]
Answer:
the answer to your question is 3 and 34
A fitness center opens to provide exercise opportunities for a community. The fitness
center charges customers a $35.95 monthly fee plus a one-time $125 administration fee.
What is the total cost of a 12-month membership at the fitness center?
Someone plz help me I will give brainliest
Answer:
Step-by-step explanation:
3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2
16. What probability expression is equivalent to P( / z / > 1.96)?
Answer:
Please check the explanation.
Step-by-step explanation:
Given
[tex]P(Z > 1.96)[/tex]
To determine
What probability expression is equivalent to [tex]P(Z > 1.96)[/tex].
Suppose Z is a standard normal variable.
Therefore,
P(Z > 1.96) = 1 - P(Z ≤ 1.96)
solving
= 1 - Ф(1.96)
[tex]= 1 - 0.9750[/tex]
[tex]= 0.0250[/tex]
Can someone tell me if my answer is correct (and correct it if it's not)?
What is the area of an EQUALATERAL triangle with a side length of 6? I'm getting 5.19615242, is this right?
Answer:
15.59.
Step-by-step explanation:
The altitude of equilateral triangle bisects the base
So 1/2 base = 3.
Altitude of the triangle is found from Pythagoras theorem:
= sqrt(6^2 - 3^2)
= sqrt27
Area = 1/2 base * altitude
= 3 * sqrt27
= 15.59
What does -(-5) equal/mean?
Answer:
it means positive 5. because negative + negative = positive or you can think like -1 times -5 which is 5.
Step-by-step explanation:
6 A pair of adjacent angles is formed by lines
AD and CE.
What is the measure of angle ABC?
F 145°
G 217
H 85°
J Not here
Answer:
x° = 145°
Step-by-step explanation:
x° + (2x - 255)° = 180°
3x = 180 + 255
3x = 435
x° = 145°
Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters. In parallelogram RSTU, what is SU? 10 m 13 m 23 m 26 m
Answer:
26m
Step-by-step explanation:
The diagonals of a parallelogram bisects each other. Hence the length of UV is equal to the length of VS
UV = VS
x+3 = 2x-7
x-2x = -7-3
-x = -10
x = 10
Get SU
SU = UV+VS
SU = x+3+2x-7
SU = 3x-4
Substitute x=10 into the expression
SU = 3(10)-4
SU = 30-4
SU = 26m
Length of SU is 26m
Answer:
26m i just did it on edg
Step-by-step explanation:
Alberto buys a 600 balloons. Some of the balloons are pink.and the rest is green. He wants a estimate of the number of pink balloons in the bag. He ask 4 of his friends to each select a random sample of 10 balloons. Each friend returns the sample before the next friend selects a sample.
What is the estimate number of the pink balloons in the bag
Answer: there are 120 baloons in the bag
Step-by-step explanation:
10/ 600 = 4/x
10x = 1200
10/1200
x= 120
Learning Task 1
4/625
11.
796
A. Simplify the radical expressions
1. V63
6. V24
2. 48
7. 781
3. 775
8. V128
4. 99
9. 340
5. 92
12. 128
13. 4/243
14.
V3000
10. V135
15.
NO
Answer:
Step-by-step874747634734634347
plss helpppppppppp w,jvkwsvkjbw,vj effvdefv
Answer:180
Step-by-step explanation:
write an equation of the line that passes through the two given points: (-5, -5) and (1,-3)
Answer:
slope-intercept formula -----> Y2-Y1/X2-X1
Step-by-step explanation:
X1= -5 X2= 1
Y1= -5 Y2= -3
-3+5/1+5=1/3
2. Gerald was given the following problem to solve for the length of the "?". He has made a mistake in his work. Identify and describe how he made his mistake. Then, solve the problem correctly.
Answer:
x = 18.7
Step-by-step explanation:
Gerald's answer is almost correct.
He just needs to switch the 14 and the x.
it should be
24/x = 18/14
solve for x by cross multiplication
18x = (24)(14)
18x = 336
x = 18.7
What's 9 + 10 ? give me the right answer
Answer:
19
Step-by-step explanation:
Add 9 to 10
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
a. What is the largest the actual height of the plant could be? Express your answer in decimal form.
Answer:
I dont know
Step-by-step explanation:
sorrryy
a farmer has enough food to feed 50 animals in his cattle for 15 days . how long will the food last if there are 25 more animals in his cattle?
Answer:
The food will last for 10 days
Step-by-step explanation:
Proportions
The amount of food the farmer needs to feed his animals is proportional to the number of animals and to the number of days they are fed.
This can be written as:
Food=k*N*D
Where k is a constant, N is the number of animals and D is the number of days.
We know that the farmer has enough food to feed N=50 animals for D=15 days, thus:
Food=k*50*15=750k
If the same amount of food is used for 50+25=75 animals, then:
750k=k*75*D
Simplifying:
750=75*D
Dividing by 75:
D=10
The food will last for 10 days
How many three-digit numbers are divisible by 2,3 or 5? plEASe helP I aM DeSpeRatE
GIVE ME THE RIGHT ANSWER
Answer:
30
Step-by-step explanation:
- A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0
- A number is divisible by 3 if ist sum of digits is divisible by 3.
- A number is divisible by 5 if its last digit is a 5 or a 0.
_
The least 3 digit number divisible by 30 is 120 and the greatest is 990.
Answer: 30
Step-by-step explanation:
Divisible by 2,3 and 5 means divisible by 2*3*5=30
So we require to calculate number of multiples of 30 in the range 100 to 999.
The least 3 digit number divisible by 30 is 120 and greatest is 990.
This is an AP series with common difference 30.
First number is 120 and n'th number is 990.
We need to find n.
Using the AP series formula
120 + (n-1)*30= 990
or n= 30
There are 30 3-digit numbers divisible by 2,3 and 5.
The product of c and 8 is greater than or equal to - 16.
HELPPPPP
To buy a laptop computer, Jane borrowed $5,000 for 3 years at an annual rate of 6%.
How much interest will she pay if she pays the entire loan off at the end of the third
year?
Answer:
5955.08
Step-by-step explanation:
First year: 5000×(6÷100)=300
Second year : 5300×(6÷100)=318
Third year : 5618×(6/100)=337.08
And = 5955.08
a=2x3^4x5 b=2^3x3^2x5^5 write down the night common factor of A and B PLEASE HELP ASAP PLEASEE!
Answer:
The HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]90[/tex].
Step-by-step explanation:
To calculate the HCF of two numbers given their prime factorization, we take the lowest exponent of every prime when comparing the two numbers.
So the HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]2^1 \cdot 3^2 \cdot 5^1 = 90[/tex].
3rd times the charm. Someone please help me.
Anya’s team won 4 games out of every 9 games this season. If the team played 45 games, how many games did they win?
Answer:20
Step-by-step explanation:4:9
9x5=45
4x5=20
20:45
The rectangles are similar. What is the value of x?
Answer:
80
Step-by-step explanation:
30 ÷ 6 = 5
16 × 5 = 80
I hope this helped!