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notsponge [240]
3 years ago
6

Graph 3x+y=-10 -x+3y=0

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have the equations in the standard form. Convert to the slope-intercept form:

3x+y=-10            <em>subtract 3x from both sides</em>

y=-3x-10

-x+3y=0             <em>add x to both sides</em>

3y=x             <em>divide both sides by 3</em>

y=\dfrac{1}{3}x

-----------------------------------------------------

We need only two points to plot a graph of each function.

y=-3x-10

for x = 0 and for x = -3:

y=-3(0)-10=0-10=-10\to(0,\ -10)\\\\y=-3(-3)-10=9-10=-1\to(-3,\ -1)

y=\dfrac{1}{3}x

for x = 0 and for x = -3:

y=\dfrac{1}{3}(0)=0\to(0,\ 0)\\\\y=\dfrac{1}{3}(-3)=-1\to(-3,\ -1)

Look at the picture.

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konstantin123 [22]

Product means multiplication.

Given w= weight of a trout.

So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.

So, product of 16 and w can be written as 16*w or simply 16w.

Hence, B is the correct choice.

8 0
3 years ago
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What is 82,119 rounded to the nearest ten thousand?
Stels [109]
80,000.
To round up to the nearest ten thousand, we would see if the next lower place value has a amount either 5 or higher or 4 or lower.
If it’s five or higher, we round up.
If it’s four or lower, we round down.
We can see that the number in the ten thousands place is 8. The number in the place value after 8 is 2.
2<5 so we round down.
The answer is 80,000.
Hope this helps!
8 0
3 years ago
Answer the two questions below
STALIN [3.7K]

Answer:

3: No

4: 25

Step-by-step explanation:

3: It won't because not everyone is the same height and there will be variation in the mean height.

4: A larger sample size will give a more accurate representation of the population, where as a sample size of 5 is much more likely to have a higher percentage of outliers, and each outlier matters much more in finding the mean. In a sample size of 25, each outlier matters much less.

8 0
2 years ago
PLS HELPPPPPPPPPPPPPPPPP IM GONNA FAIL
DochEvi [55]

Answer:

2520 cm²

Step-by-step explanation:

9 cm x 8 cm x 5 cm x 7cm = 2520 cm²

8 0
3 years ago
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If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the d
aliina [53]

Answer:

210 by 120

Step-by-step explanation:

perimeter=2l+2w

length= 2w-30

width= w

2(2w-30+w) = 660

6w-60= 660

6w= 720

w=120

length= 2*120-30 = 210

6 0
3 years ago
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