Simplify the polynomial

Mathematics

1 answer:

zimovet [89]3 years ago

3 0

Answer:D

Step-by-step explanation:

-(5j²+2j-7)-(3j+2)=-5j²-2j+7-3j-2= -5j²-5j+5

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Find the constant of variation for the relation and use it to write and solve the equation.

Ksenya-84 [330]

Answer:

When x = 1 and z = 4, $y=\frac{80}{9}$

Step-by-step explanation:

The variation described in the problem can be written using a constant of proportionality "b" as:

$y=b\,\,x\,\,z^2$

The other piece of information is that when x = 5 and z = 1, then y gives 25/9. So we use this info to find the constant "b":

$y=b\,\,x\,\,z^2\\\frac{25}{9} =b\,\,(5)\,\,(1)^2\\\frac{25}{9} =b\,\,(5)\\b=\frac{5}{9}$

Knowing this constant, we can find the value of y when x=1 and z=4 as:

$y=b\,\,x\,\,z^2\\y=\frac{5}{9} \,\,x\,\,z^2\\y=\frac{5}{9} \,\,(1)\,\,(4)^2\\y=\frac{5*16}{9}\\y=\frac{80}{9}$

3 0

3 years ago

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b: