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Agata [3.3K]
3 years ago
9

Please help asap 30 pts

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

4w-2(1-w)=-38\qquad|\text{use distributive property}\\\\4w+(-2)(1)+(-2)(-w)=-38\\\\4w-2+2w=-38\qquad|\text{add 2 to both sides}\\\\4w+2w=-36\\\\6w=-36\qquad|\text{divide both sides by 6}\\\\\boxed{w=-6}

<h3>Answer: d. w = -6</h3>
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Answer:

x > 2

Step-by-step explanation:

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natka813 [3]

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1. 4

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Please help me out if you can
Arlecino [84]

Answer:

(a, 0)

Step-by-step explanation:

Point S has the same x-coordinate as does Point R:  a.

Point S has the y-coordinate 0, as Point S lies on the x-axis.

Correct final answer:  (a, 0) represents Point S.

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3 years ago
Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9
Kryger [21]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as x=\frac{-b}{2a}.

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

  • a= 3
  • b=12
  • c=9

Replacing in the definition of axis of symmetry:

x=\frac{-12}{2x3}

Solving:

x=\frac{-12}{6}

<u><em>x= -2</em></u>

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

brainly.com/question/10473291

#SPJ1

3 0
2 years ago
A nurse sees 24 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in a 8-hour per
Vikki [24]

Hi!

We will solve this using proportions, like this:

24 patients in 5 hours

x patients in 8 hours

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x = (24*8)/5

x = 192/5

x = 38,4

The nurse will be able to see 38,4 patients in a 8-hour period, but because it's patients we are talking about, living things which can't be represented in decimal form, the nurse will be able to see approximately 38 patients in a 8-hour period.

Hope this helps!

4 0
3 years ago
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