Consider this system of two linear equations.
5x − 2y = 16
-4x + 6y = -15
What is the y-coordinate of the solution to the system of equations?

A. 1/3
B. 15
C. -1/2
D. 3

Answers

Answer 1

Answer:

Step-by-step explanation:

so these two lines cross at some point.. and they want to know the y point at which they cross... sooo..

solve them as a system to find the points that are common to both

Eq. 1)  5x -2y = 16

Eq. 2) -4x+6y=-15

i'll use the elimination method as these equations "lend" themselves to that way.. they are easy to solve that way .. in other words..

multiply Eq. 1 by 3  the add Eq. 2 .. to it... add the terms as columns....

    15x-6y = 48

+ ( -4x+6y=-15)

=    11x+ 0y =33

x=3    

nice, now plug 3 in for x in one of the Eq.   try Eq. 1

5(3)-2y=16

15-2y=16

-2y =1

y = [tex]-\frac{1}{2}[/tex]

since we're looking for the y coordinate...  that's your answer [tex]-\frac{1}{2}[/tex]


Related Questions

A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Answers

Answer:

Step-by-step explanation:

From x = -2 to x = 0, the average rate of change for both functions is negative

The quadratic function, y = x2, has an x-intercept at the origin

For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

those 3 are good

The quadratic function, y = x², has an x-intercept at the origin is, TRUE

And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE

From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have;

When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.

Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.

And, Both are declining if you read the graph from left to right.

For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.

y = x²

If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3

For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.

If we insert 2 for x, we see that;

⇒  y = x² + 3

⇒  y = 2² + 3

⇒  y = 7

And, our y value in the point (2, 7) is 7.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The formula for circumference = 2*Pi*r
R= radius. Radius is half of the diameter, and d= 20. This means that radius = 10. Now we have a full formula to work with.2*Pi*10.
Substitute 3.14 for pi.
3.14 * 10 = 31.4.
31.4*2 = 62.8.
62.8 rounded equals 63.
C = 63.

I NEED HELP NOW please

Answers

6
12
18
24
30
That is on the y side
6
12
18
24
30
On the y side

Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from R to S.

R(-4, 5) and S(2, -1)

Method 1
Use the Distance Formula. Substitute the values for the coordinates of R and s into the Distance Formula.​

Answers

Answer:

R(0,10) S(0,0)

Step-by-step explanation:

F(x)=x-7
What is the value of x when f(×) =3

Answers

Answer:

3= x - 7 (write out the equation and think of what number with 7 subtracted would be equal to 3)

3= 10-7 (10-7 is equal to three, so that's what x has to be)

x=10

Step-by-step explanation:

a - 48 = 18
What is a?

Answers

Answer:

A=66

Step-by-step explanation:

Answer:

a=66

Step-by-step explanation:

You do an inverse operation to find your answer, in this case it is addition, so you add 48 and 18 to get 66!

Simplify:
3 [23 + (4 – 2)3 – (6 - 2)2]
A. 3

B. 12
D. 24

E-3

Answers

Answer:63

Step-by-step explanation:

Seventh grade
AA.5 Area of circles YA8
The radius of a circle is 9 feet. What is the circle's area?
Use 3.14 for .
square feet
Submit

Answers

Answer:

A=pi x r^2

A= 3.14 x 9^2 feet

A= 3.14 x 81 feet^2

A= 254.34 ft^2

A puzzle box has a height of 27 centimeters. It has a base with an area of 220 square centimeters. What is the volume, in cubic centimeters, of the puzzle box?

Answers

Answer:

5,940 cubic centimeters

Step-by-step explanation:

Volume of puzzle box

= Area of base*Height

= 220*27

= 5,940 cubic centimeters

What’s the percentage ?? Please fast!!! Asap

Answers

Answer:

52%.

Step-by-step explanation:

There are a total of 50 squares in the shape, and only 26 squares of the shape are shaded. That makes 52% or 0.52.

Answer:

52%

Step-by-step explanation:

26 out of 50 blocks are shaded orange

26/50 = 52%

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it

Answers

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]

the price of a sweater was reduced from 20$ to 12$ by what percentage was the price of the sweater reduced

Answers

Answer:

11%

Step-by-step explanation:

the answer is 11 because you need to minus

11% okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

PLEASE HELP ASAP please someone help me so far my day has sucked and I need help. this is easy math just help meeeee.
5/6 +4/5
please help me answer correctly my grade depends on it

Answers

Answer:

1  19/30

Step-by-step explanation:

Answer:

NEVERMIND (I thought 45/30, but i dont know)

Step-by-step explanation:

A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?

Answers

Answer:

15.20feet

Step-by-step explanation:

Length of the ladder = 16foot (hypotenuse)

BAse of the ladder from the house = 5feet (adjacent)

height of the house = x (opposite)

Using the pythagoras theorem

hyp^2 = opp^2 + adj^2

16^2 = 5^2 + opp^2

256 = 25 + opp^2

opp^2 = 256-25

opp^2 = 231

opp =√231

opp = 15.20

Hence the house is 15.20feet high up the house

1
1 point
Write the fraction as an equivalent decimal.
273
100
type your answer...

Answers

Yes xrixtiurzrurzyyjgxrueuRs

Answer:

2.75 is this correct I don't understand the question very much

Find the point that maximizes the objective functions P=2x+5y using constraints:
y>=10-2x
y<=7-1/2x
x>=0
y>=0​

Answers

Answer:

(2,6)

Step-by-step explanation:

A company rents out 18 food booths and 21 game booths at the county fair. The fee for a food booth is $150 plus $8 per day. The fee for a game booth is $65 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

the expression is 21+18d

Step-by-step explanation:

Answer:

The answer is t(2844 + 1491) or t(4335)

Step-by-step explanation:

18 x 150 = 2700

18 x 8 = 144

2700 + 144 = $2844

21 x 65 = 1365

21 x 6 = 126

126 + 1365 = 1491

t = ? <--- t stays the same

1491 + 2844 = 4335

t(4225)

The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds will it take the Math clubs car to make it around the track

Answers

Answer: it will take 7 seconds

Step-by-step explanation: 9 x 7 = 63

pls help !! - Using the graph below, what is the rule for a translation form point A to point D?

Answers

The answer is b trust me I got this one right

Answer:

B

Step-by-step explanation: i took the test on docs/forms


HELP PLEASE ANSWER FAST!!!!! WILL MARK BRAINLYEST!!!!!!!!







The graph of f(x) = (0.5% is replaced by the graph of g(x) = (0.5)* - k. If g(x) is obtained by shifting f(x) down by 5 units, then what is the value of k?

A. K= 1/5
B. k=5
C. k=-1/5
D. k= -5

Answers

Answer:

b is the answer

Step-by-step explanation:

the graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k

if g(x) is obtained by shifting f(x) down by 5 units,

then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5

so k = 5 units

hope this helps

Can anyone help me with these? PLEASE!!!

Answers

I can’t see them good try taking the pictures better please

PLEASE HELP!!!! ❗❗❗❗❗❗❗
I NEED THE ANSWER TO THIS ASAP!!! PLS HELP!!! question below ;-;

the track team is trying to reduce their time for a relay race. First they reduced their time by 2.1 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.96 minutes, what was their beginning time? Show or explain your reasoning.

Answers

Answer:

6.27 minutes

Step-by-step explanation:

3.96+2.1=6.06

1/10=0.1x2.1=0.21+6.06=6.27

newibfib

bewbhbhdcwebcwbch

Answers

Step-by-step explanation:

Peter Piper picked a pack of pickled peppers. If Peter Piper picked a pack of pickled peppers, How many packs of pickled peppers did Peter Piper pick?

Draw 9:10 on a clock

Answers

Answer:

put the short hand at nine

Step-by-step explanation:

put the long hand and 10 minutes

Answer:

you can draw on your notebook and draw the clock

Solve the following equation algebraically:

5x2 = 60

a. x~+3.46
b. x~3.46
c. x = 12
d. x =+12


Please select the best answer from the choices provided​

Answers

Answer:

A. X~+3.46

Step-by-step explanation:

I calculated logically

A giant tortoise moves at a slow but steady pace. It takes
the giant tortoise 3 seconds to travel 10.5 inches.
How many inches will the tortoise travel in 1 second?

Answers

the answer should be that it will take the tortoise 1 second to travel 3.5 inches


Which is the simplified form of the expression

2
(2-3)(x+3)(2)
(4-2)(x4)(13)
?

Answers

Answer:

x= 5 whole number and 2/15

Step-by-step explanation:

3x + y = 15 and y = 2x
The solution, given in (x,y) form is

Answers

Answer: (3, 6)

Step-by-step explanation:

3x + y = 15

y = 2x

Using substitution:

3x + 2x = 15

5x = 15

x = 15/5

x = 3

y = 2x

y = 2 * 3

y = 6

x = 3

y = 6

= (3, 6)

Pete walks 2 miles in an hour. At this rate how many miles can Pete walk in 4 hours

Answers

Answer:

8 miles

Step-by-step explanation:

2 miles= an hour

4 miles= two hours

6 miles= three hours

8 miles = four hours

Answer:

8

Step-by-step explanation:

Use Pete's walking speed: 2 miles per hour × 4 hours = 8 miles.

Help please!!! will give brainliest

Answers

Answer:

Step-by-step explanation:kytiyfkutfdc

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