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3 years ago

Question 5 (10 points)

Mathematics

1 answer:

vodka [1.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

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Complete the square to solve the equation below

frutty [35]

$x^2+x= \frac{7}{4}$

Take one-half of the coefficient of x and square it, then add it to both sides.

$x^2+x+ (\frac{1}{4}) =\frac{7}{4}+ (\frac{1}{4})$

$x^2+x+(\frac{1}{4})= 2$

$\left(x+\frac{1}{2}\right)^2=2$

$x+\frac{1}{2}=\pm \sqrt{2}$
-----------------------------------------------------------------
$x+\frac{1}{2}=- \sqrt{2}$
$x=-\frac{1}{2}- \sqrt{2}$ <=

AND

$x+\frac{1}{2}= \sqrt{2}$
$x= \sqrt{2}-\frac{1}{2}$ <=

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3 years ago

On the graph of the equation x − 4y = −16, what is the value of the y intercept

Artyom0805 [142]

The y-intercept is 4.

If you have x-4y=-16, in slope intercept form it is y=1/4x+4.

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3 years ago

What is 3x-2 if x=-1/3

Mama L [17]

Givens

x = - 1/3

y = 3x - 2

Problem solve for y

y = 3(-1/3) - 2

but 3 * (1/3) = 1

and 3 * (- 1/3) = - 1

So y = -1 - 2

y = - 3

Think of this as a money question. If you are one dollar in the whole and you spend 2 more, you are not 3 in the whole which is minus 3.

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3 years ago

4x + 3y = 8<br> x - 2y = 13<br><br> solve using elimination method

Ratling [72]

4x+3y=8

x-2y=13

4x+3y=8

4x-4y=13

(4x-4x) - (3y+4y)= 5

7y=5

y=5/7

Plug this back to one of the original equations!

Good luck!

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3 years ago

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Round the nearest hundred 439

Anton [14]

The answer is 400. Remember that if the tens place has a number of 5 or more you round up. And if the tens place has a number of 4 or less then you round down.
Hope this helps!

6 0

3 years ago

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