Ask question

Ask question

All categories

2 years ago

12

Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

ee-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction y = 5 x + 3 y = one-fifth x + StartFraction 3 Over 25 EndFraction y = one-half x + 6

2 answers:

Bas_tet [7]2 years ago

8 0

Answer:

The answer is B

Step-by-step explanation:

Can i have Brainliest

Arte-miy333 [17]2 years ago

7 0

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

$y = 3x - 2.$

$10(x + \frac{3}{5} ) = 2y$

A. $y = 5x + \frac{3}{10}$

B. $y = 5x + 3$

C. $y = \frac{1}{5} x + \frac{3}{25}$

D. $y = \frac{1}{2} x + 6$

Answer:

B. $y = 5x + 3$

Step-by-step explanation:

Given

Equation 1: $y = 3x - 2.$

Equation 2: $10(x + \frac{3}{5} ) = 2y$

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

$10(x + \frac{3}{5} ) = 2y$

Open the bracket

$10*x + 10 *\frac{3}{5} = 2y$

$10x + \frac{30}{5} = 2y$

Simplify fraction

$10x + 6 = 2y$

Divide through by 2

$\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}$

$5x + 3 = y$

Re-arrange

$y = 5x + 3$

The next step is to compare each of option A through D with $y = 5x + 3$

A.

$y = 5x + \frac{3}{10}$ is not equal to $y = 5x + 3$

We check the next available option

B.

$y = 5x + 3$ is equal to $y = 5x + 3$

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

$y = \frac{1}{5} x + \frac{3}{25}$

Convert fraction to decimal

$y = 0.2x + 0.12$

This is not equal to $y = 5x + 3$

D.

$y = \frac{1}{2} x + 6$

Convert fraction to decimal

$y = 0.5x + 6$

This is not equal to $y = 5x + 3$

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

You might be interested in

The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values

goldenfox [79]

99.7% encompasses about 3 standard deviations either side of the mean.

82 ±3*2 = (76, 88)

About 99.7% of the values lie between 76 and 88.

5 0

1 year ago

Read 2 more answers

Two friends decide to go on a four hour ride on off road vehicles through mountainous terrain the graph represents their elevati

Aleksandr-060686 [28]

Answer:

Extrema: relative minimum (1.25,-3.25), relative maximums (3.25,10) and (0,0)

Zeros: (0,0), (2,0), and (4,0)

End behavior: As x approaches infinity, the function approaches negative infinity. As x approaches negative infinity, the function approaches negative infinity.

Intervals of increase and decrease: increasing on (-∞, 0) and (1.25, 3.25), decreasing on (0, 1.25) and (3.25, ∞)

Positive and negative intervals: positive on (2, 4), negative on (-∞, 0), (0, 2), and (4, ∞)

plato answer

Step-by-step explanation:

8 0

2 years ago

At middle Avenue school, 1/30 of the students are on track team. The track coach offered to buy pizza or subs for everyone on th

atroni [7]

3/5 of the students ate pizza

4 0

2 years ago

You earn $11 per hour delivering pizzas. you also work part-time at a convenience store where you earn $9 per hour. you want to

scoundrel [369]

We will traduce the sentences into equations.
Let x be the number of hours in the first job, and y be the number of hours in the second job.
Then the equations are:
$x+y\leq25\\11x+9y\geq 150$

The above system has many solution, we can select for example:
x = 1, y = 16. So we can work one hour at the first job and 16 hour at the second job.

7 0

2 years ago

The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal

mash [69]

Answer:

Part a) $y=-2x+4$

Part b) The coordinates of the point are $(\frac{4}{3},\frac{4}{3})$

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

$m=(0-4)/(2-0)=-2$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-2\\b=4$

substitute

$y=-2x+4$

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

$y=-2x+4$

substitute

$x=-2x+4\\3x=4\\x=\frac{4}{3}$

$y=x=\frac{4}{3}$

therefore

The coordinates of the point are $(\frac{4}{3},\frac{4}{3})$

6 0

1 year ago