Find the nth term of this sequence -4 -3 -2 -1 0 ...

A system of equations is graphed on the coordinate plane. y=−x+5y=2x−1 What is the solution to the system of equations? Enter th

Marat540 [252]

we have

$y=-x+5$ ------> equation A

$y=2x-1$ ------> equation B

Method 1

Equate equation A and equation B

$-x+5=2x-1$

solve for x

$2x+x=5+1$

$3x=6$

$x=2$

Find the value of y

$y=2x-1$

$y=2*2-1=3$

The solution is the point $(2,3)$

therefore

the answer is

$(2,3)$

Method 2

we know that

The intersection point both graphs is the solution of the system of linear equations

using a graphing tool

see the attached figure

the intersection point is $(2,3)$

therefore

the answer is

$(2,3)$

5 0

3 years ago

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X and y vary inversely and x=50 when y=5 find y when x=10 what is k?

Kisachek [45]

Answer:

Part A)

1) $k=250$

2) $y=25$

Part B)

1) $k=7$

2) $y=84$

Step-by-step explanation:

Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

step 1

Find the value of k

x=50 when y=5

substitute the values

$y*x=k$ ------> $5*50=k$ -----> $k=250$

The equation is equal to

$y*x=250$ or $y=250/x$

step 2

Find y when x=10

substitute the value of x in the equation and solve for y

$y*(10)=250$

$y=250/10=25$

Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

step 1

Find the value of k

x=6 when y=42

substitute the values

$y/x=k$ ------> $42/6=k$ -----> $k=7$

The equation is equal to

$y/x=7$ or $y=7x$

step 2

Find y when x=12

substitute the value of x in the equation and solve for y

$y=7(12)=84$

5 0

3 years ago

**********(*ˊᗜˋ*)ᵗᑋᵃᐢᵏ ᵞᵒᵘ********** This week Ivania ran a total of 20 km, which is 6.5 km farther than she ran last week. If w

zalisa [80]

Answer:

20km = 6.5km + w

w = 20 km - 6.5 km

w = 13.5 km

Step-by-step explanation:

because 20km = present week

last week = w

The sentence says [Present Week] = 6.5 km MORE than [Last Week]

MORE mean "+"

[Present Week] = 6.5 km + [Last Week]

20 = 6.5 km + [Last Week]

20 = 6.5 + w

w = 20 - 6.5 = 13.5 km

6 0

3 years ago

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Use the functions f: {(0, 0), (1,2), (2, 4), (3, 2), (4, 0)} and g: {(0, 4), (1, 3), (2, 2), (3, 1) (4, 0)}

beks73 [17]

$f(4)=0\\
g(f(4))=g(0)=4$

$g(2)=2\\
f(g(2))=f(2)=4$

6 0

3 years ago

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A cooler contains 4.5 gallons of water and is filling up at a rate of 0.1 gallons per second. A second cooler contains 7 gallons

denpristay [2]

The equation that can be used to determine when each cooler would contain the same amount of water is 4.5 + 0.1t = 7 + 0.25t

<h3>When the coolers would have the same amount of water?</h3>

Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t

Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t

Where t represents seconds

When they have the same amount of water, the two above equations would be equal

4.5 + 0.1t = 7 + 0.25t

Combine similar terms

7 - 4.5 = 0.1t - 0.25t

2.5 = 0.75t

Hence the equation that can be used to determine when each cooler would contain the same amount of water is 4.5 + 0.1t = 7 + 0.25t

To learn more about mathematical equations, please check: brainly.com/question/26427570

#SPJ1

8 0

2 years ago