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solmaris [256]
2 years ago
12

-3x^2-6x solve using the gcf

Mathematics
2 answers:
Vladimir [108]2 years ago
6 0

Answer:

x = - 2, x = 0

Step-by-step explanation:

- 3x² - 6x ← factor out - 3x from each term

= - 3x(x + 2)

To solve equate to zero

- 3x(x + 2) = 0

Equate each factor to zero and solve for x

- 3x = 0 ⇒ x = 0

x + 2 = 0 ⇒ x = - 2

Veseljchak [2.6K]2 years ago
4 0

The GCF for -3x^2-6x is 3x

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In the graph below, the area above f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where
drek231 [11]

Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be or >.

Since the shaded region A is above the line, the symbol is >

Observe that its y-intercept is:

b=3

The line of g(x) is solid. This means that the symbol of the inequality must be \leq or \geq.

Since the shaded region B is below the line, the symbol is\leq .

Observe that its y-intercept is:

b=-2.

Based on this, we can conclude that the graph represents the following System of Inequalities:

\left \{ {{y\leq 2x -2} \atop {y >-x + 3}} \right.

8 0
3 years ago
3. PLEASE HELP! Jenna just opened a checking account at the bank. Within the first month, she deposited three checks for $34.98,
sashaice [31]

Answer:C) She would have $216.88.

Step-by-step explanation:

A) Deposits:  +34.98; +51.02; +51.22

Withdrawals:  -5.23; -5.22; -7.89

B) -7.89, -5.23, -5.22, +34.98, +51.02, +51.22

The smallest amount will be the largest withdrawal, as it takes away from the account; the largest amount will be the largest deposit, as it adds to the account.

98 + 34.98 = 132.98 + 51.02 = 184.00 + 51.22 = 235.22 - 7.89 = 227.33 - 5.23 = 222.10 - 5.22 = 216.88

8 0
3 years ago
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3 years ago
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If one table and two lamps cost $88, and two
Paul [167]

Answer:

One lamp is equal to 23 dollars

One table is equal to 42 dollars.

Step-by-step explanation:

We can solve this by first organizing what we have.

1 table (t) + 2 lamps (l) = 88.

2 tables (t) + 3 lamps (l) = 153.

_____________

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

1t + 2l = 88

2t + 3l = 153

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

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

If we multiply both sides by 2 on the first equation of

1t + 2l = 88

we could get

2t + 4l = 176.

If that is true, we can subtract the second equation of

2t + 3l = 153 from the new equation to get the price of a lamp.

    2t + 4l = 176

-    2t + 3l = 153

____________

= 0t + l = 23

One lamp is equal to 23.

We can check this by plugging it into an equation.

1 + 2(23) = 88

1t + 46 = 88

1t + 46 - 46 = 88 - 46

1t = 42

If one table equals 42, we can put this back into the second equation to check.

2 (42) + 3 (23) = 153

84 + 69 = 153

That is correct.

Another way to solve is to put this like a system of equations in a graph, by replacing "t" by "x" for example, and "l" by y.

Then you could put it into a graphing calculator and solve by looking for the place where the two lines converge or meet.

Since we put "x" for "t", that means that whatever the x-value is on the solution point, that is the cost of a table, and the y-value is the cost of the lamps.

Another way to solve, is to find the unit rate first by subtracting the first equation from the second equation.

    2t + 3l = 153

 -  1t + 2l = 88

____________

= t + l = 65

If t + l = 65, we can rearrange that equation to be something like t = 65 - l.

That means "t" is equal to 65 bucks minus a lamp.

We put this back into the first equation of

1t + 2l = 88

and replace "t" with the previous expression.

1(65 - l) + 2l = 88

Simplify/distributive property

65 - l + 2l = 88

65 - 65 - l + 2l = 88 - 65

-l + 2l = 23

l = 23

One lamp is equal to 23 bucks.

Confirmed :)

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Step-by-step explanation:

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