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3 years ago

Classify the function as linear or quadratic and identify the quadratic linear and constant terms. PLEASE HELP ME!!!

Mathematics

1 answer:

patriot [66]3 years ago

5 0

The equation
$y = - 3 {x}^{2} - 29x + 30$
is quadratic, since the highest power of x is x^2. The quadratic term is -3x^2, the linear term is -29x, and the constant is 30.

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Evaluate: 16<br> A.256<br> B.32<br> C.8<br> D.4

Hitman42 [59]

Answer:

16 ^2 = 256

16 x 2 = 32

16 / 2 = 8

16 / 4 = 4

4 0

3 years ago

Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

$4x-y-2z=-8\\-2x+4z=-4\\x+2y=6$

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

$-2x+4z=-4$

First, divide everything by -2 to simplify things:

$x-2z=2$

Subtract x from both sides. The xs on the left cancel:

$(x-2z)-x=2-x\\-2z=2-x$

Now, divide everything by -2 to isolate the z:

$z=-\frac{2-x}{2}$

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

$x+2y=6$

Subtract x from both sides:

$2y=6-x$

Divide both sides by 2:

$y=\frac{6-x}{2}$

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

$4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8$

Distribute the third term. The -2s cancel out:

$4x-(\frac{6-x}{2})+(2-x)=-8$

Since there is still a fraction, multiply everything by 2 to remove it:

$2(4x-(\frac{6-x}{2})+(2-x))=2(-8)$

Distribute:

$8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16$

Combine like terms:

$8x+x-2x-6+4=-16\\7x-2=-16$

Add 2 to both sides:

$7x=-14$

Divide both sides by 7:

$(7x)/7=(-14)/7\\x=-2$

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

$z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2$

Third equation:

$y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4$

Therefore, the solution is (-2, 4, -2)

3 0

3 years ago

Read 2 more answers

PLEASE PLEASE HELP ME

Galina-37 [17]

Answer:

1. 110°

Step-by-step explanation:

Given angle - 610°

Coterminal angle is an angle in the interval 0°- 360° added or subtracted to multiples of 360°:

-610° + 2*360° = -610° + 720° = 110°

Correct option is 1.

7 0

3 years ago

Express 5/21 as a decimal.

Annette [7]

5/21 is a repeating decimal but the first digits are 0.238095

7 0

3 years ago

Read 2 more answers

___________ is a standard of measure for a physical quantity and is included as part of the x and y axes labels on a line graph.

zlopas [31]

Answer:

Unit of measure

Step-by-step explanation:

Unit of measure

When we construct any type of graph the unit of measure needs to be present, becuase the numbers without units are just numbers and with just the numbers we can't have physical interpretation of the situation.

For this reason is importatn to include the units of meausre with the plots since with that we have a point of reference for the variables used.

And satisfy the condition "A standard of measure for a physical quantity and is included as part of the x and y axes labels on a line graph."

8 0

3 years ago