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lana [24]
3 years ago
10

Is (-1,1) a solution for the systemy=2x=3y=-x

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Substitute the x and y values of the point into the x and y values of the equation.

1=2(-1)+3\\1=-2+3\\1=1\\:)\\\\1=-(-1)\\1=1\\:)

Hope this helped!

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A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig
mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or  x = \frac{1440}{480}

or  x= 3

Hence x= 3 inch should be turned up on each side

3 0
3 years ago
A shirt is on sale for 30% off the original price of $85.00.
wlad13 [49]

Answer:

59.5

Step-by-step explanation:

30% of 85 is 25.5

85-25.5=59.5

5 0
2 years ago
Can someone explain how to solve the table of values?
11Alexandr11 [23.1K]

Answer:

By putting some values of x find the y values

Step-by-step explanation:

for example, let x=-1 and x=2y

then -1=2y

y=-1/2

I hope it helps

8 0
3 years ago
(a): How many miles does the train travel per gallon?<br> (b):What is the slope of the graph?
drek231 [11]

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

Distance travelled per gallon=200 miles/400 gallons=0.5 litres travelled per gallon

for part b) slope=rise/run

m=(y2-y1)/(x2-x1)

y2=400  y1=0 x1=0 x2=200

m=(400-0)/(200-0)=2

slope of the graph is 2

5 0
3 years ago
Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form
juin [17]

Answer:

Equation of line best fits the scatter plot is y = -\frac{30}{7} x + 108

Step-by-step explanation:

Let the equation of line be y = mx + c

where m = slope of line and c is the intercept on y -axis

from the graph intercept on y-axis is 108

and the slope of line is given by m = \frac{y_2 - y_1}{x_2 - x_1} where (x_2,y_2) and (x_1,y_1) is the points on line

let, points be (4,96) and (18,36)

on calculating this m = \frac{y_2 - y_1}{x_2 - x_1} = -\frac{30}{7}

Therefore equation of line best fits the scatter plot is y = -\frac{30}{7} x + 108

4 0
3 years ago
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