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3 years ago

Rank the following from least to greatest based on their axis of symmetry.

1 answer:

3 0

Finding the axis of symmetry.
1) Identify a, b, and c in the equation
f(x) = 4x² - 1 ⇒ a = 4 ; b = 0 ; c = -1
g(x) = x² - 8x + 5 ⇒ a = 1 ; b = -8 ; c = 5
h(x) = -3x² - 12x + 1 ⇒ a = -3 ; b = -12 ; c = 1

2) Formula of the axis of symmetry
x = -b/2a
f(x) ⇒ x = -0/2(4) = 0
g(x) ⇒ x = -(-8)/2(1) = 8/2 = 4
h(x) ⇒ x = -(-12)/2(-3) = 12/-6 = -2

Rank from least to greaters: -2, 0, 4 ⇒ h(x) ; f(x) ; g(x) CHOICE D

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Which region represents the solution to the given system of inequalities?

Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

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.

Given the following system of inequalities:

$\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.$

We need to graph the lines.

We have the line:

$x+3y=-3$

Solving for "y", we get:

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

Knowing that $m=-\frac{1}{3}$ and $b=-1$ , we can graph it.

Since the symbol is $\leq$ , the line must be solid.

The other line is:

$x=3$

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is $\geq$ , the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

$0+3(0)\leq-3\\\\0\leq-3$

This is false, therefore, we must shade the half that does not contain this point.

$0\geq 3$

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

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at the souvenir shop each stuffed elephant was on sale for $5 off Matrix bought three of them for $45 how much did each stuffed

kondor19780726 [428]

Hello there!
So the equation I would use for this word problem is 3(s+5)=45.
3s+15=45
-15 -15
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3s=30
Divide 3 from both sides.
s ends up equaling 1.
Each stuffed animal elephant cost $10

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A set of equations is given below

Alex_Xolod [135]

Answer:

No solution

Step-by-step explanation:

This is no solution due to the fact that the slope of both of the equation are the same. So they are parallel. If the b value is the same then it is infinitely many solutions. Due to the fact that the b value is not the same they are a set of parallel line. Parallel line do not touch or intersect ever so there for this is a no solution set.

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Make sure to explain please! Evan's mother used 1/3 pound of beef, 1/2 pound of shrimp, and 3 pounds of pasta to make dinner for

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I believe this should be on coursehero!

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What value of x satisfies this equation (5x + 20) = 2

FrozenT [24]

Answer:

x equals -3.6

Step-by-step explanation:

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