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Leni [432]
3 years ago
11

Find the vertex of the graph of f(x) = x2 + 4x - 5.

Mathematics
1 answer:
Fofino [41]3 years ago
7 0
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

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Which linear function represents the line given by the point-slope equation y + 7 = -2/3 (x + 6)?
PolarNik [594]
Got this from someone else but it answers your question

O f(x) = -x-1
Step-by-step explanation:
We want to isolate the 'y' variable, so we will subtract 7 from both sides.
y = x + 6 - 7
y = x -1

also can u please give me brainliest
6 0
2 years ago
A scientist measured 18 grams of
olya-2409 [2.1K]

Hence, option A 0.64 is the correct answer.

Further explanation:

Ounce is a larger unit than grams. When we have to go from a smaller unit to a larger unit we use division.

So,

Given

28.3 grams = 1 ounce

Then

18\ grams=\frac{18}{28.3}=0.636=>0.64

Hence, option A 0.64 is the correct answer.

Keywords: Conversions, Units of measurement

Learn more about conversions at:

  • brainly.com/question/11207748
  • brainly.com/question/13063819

#LearnwithBrainly

8 0
3 years ago
Solve for F: 5/9 (F-32)
konstantin123 [22]
The answer is -31 2/5<span />
8 0
3 years ago
Help me answer this PLEASE !!
zloy xaker [14]

Answer:

1. A = 2184 yd. P = 212 yd.

Step-by-step explanation:

1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.

To find the Area you have to do this formula: H * W which means height times width.

2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle

3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.

7 0
2 years ago
Simplify each of the following:
Zepler [3.9K]

Answer:

a)

  • √25 + √50 - √24 + √49 =
  • 5 + 5√2 - 2√6 + 7 =
  • 12 + 5√2 - 2√6

b)

  • √2(2√8 – 3√32 + 4√50) =
  • 2√16 - 3√64 + 4√100 =
  • 2*4 - 3*8 + 4*10 =
  • 8 - 24 + 40 =
  • 24
7 0
3 years ago
Read 2 more answers
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