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3 years ago

I need help and I have to do what it says

Mathematics

1 answer:

Andreas93 [3]3 years ago

3 0

X^2 + 6x = -2 is a quadratic equation that can be solved by completing the square.

x^2 + 6x + (6/2)^2 - (6/2)^2 = -2

Rewriting this, (x+3)^2 = -2 + (6/2)^2 = -2 + 9 = 7

tAKING THE sqrt f both sides, we get x+3 = plus or minus 5.

Finally, x = -3 plus or minus 5, which boils down to x=2 and x= -8.

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What happens to a line when the y-intercept is changed? Check all that apply. A. As the y-intercept increases, the graph of the

olga nikolaevna [1]

Answer: two options apply: A and D.

A. As the y-intercept increases, the graph of the line shifts up.

D. As the y-intercept decreases, the graph of the line shifts down.


Justification:

1) Take the slope-intercept equation of the line: y = f(x) = mx + b

2) The y-intercept is b


3) When b is increased, f(x) will increases too, that is f(x) will be higher or its graph will be shifted up, which is what the option A. states.


4) When b is decreased, f(x) will decreases too, that is f(x) will be lower or its graph will be shifted dOwn, which is what the option D states.


5) Regarding the options B and E, which deal with motions in the horizontal direction (left or righT), nothing can be said, as the effect of a change in the y -intercept on the horizontal direction will depend on the slope.


6) Regarding the option C, a change in the y-intercept does not change the slope (the steep of the line).

5 0

3 years ago

Read 2 more answers

(-14 + 3/2b) - (1 + 8/2b) A.-5/2b - 11 B. 4b + 13/2 C. -15 - 5/2b D. 8b - 15

Darya [45]

(-14 + 3/2b) - (1 + 8/2b)
= -14 - 1 + 3/2b - 8/2b
= -15 - 5/2b

In short, Your Answer would be Option C

Hope this helps!

7 0

3 years ago

Read 2 more answers

35 2/9 divided 5 8/9

weqwewe [10]

Answer:

53/405

Step-by-step explanation:

5 0

3 years ago

Please help mee pleaseee

nalin [4]

Answer:

The exact answer in terms of radicals is $x = 5*\sqrt[3]{25}$

The approximate answer is $x \approx 14.62009$ (accurate to 5 decimal places)

===============================================

Work Shown:

Let $y = \sqrt[5]{x^3}$

So the equation reduces to -7 = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

-----------

Since $y = \sqrt[5]{x^3}$ and y = 5, this means we can equate the two expressions and solve for x

$y = 5$

$\sqrt[5]{x^3} = 5$

$x^3 = 5^5$ Raise both sides to the 5th power

$x^3 = 3125$

$x = \sqrt[3]{3125}$ Apply cube root to both sides

$x = \sqrt[3]{125*25}$

$x = \sqrt[3]{125}*\sqrt[3]{25}$

$x = \sqrt[3]{5^3}*\sqrt[3]{25}$

$x = 5*\sqrt[3]{25}$

$x \approx 14.62009$

4 0

3 years ago

Read 2 more answers

Use the relationship between the

motikmotik

The equation x° = 180° - (37°+ 53°) can be used to find the value of x.

Step-by-step explanation:

Step 1; There are three lines in the given diagram. There are a baseline and two other lines. Out of the other two lines, one extends above and below the baseline whereas the other extends only above. Since the baseline is horizontal and the others are at angles we have the sum of all the three angles as 180° i.e. 37°, x°, and 53°.

37° + x° + 53° = 180°.

Step 2; To solve the value of x, we keep the unknown value at the left-hand side whereas all the known values are taken to the right side of the equation.

x° = 180° - (37°+ 53°).

So the fifth option can be used to determine the value of x.

4 0

3 years ago