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Rus_ich [418]
3 years ago
10

Use the parabola tool to graph the quadratic function f(x)=(x−2)(x−6) . Graph the parabola by first plotting its vertex and then

plotting a second point on the parabola.
Mathematics
1 answer:
stepan [7]3 years ago
3 0
Where's the so-called "parabola tool?"

The vertex is relatively easy to find.  Find the midpoint of the segment of the x-axis connecting x=2 and x=6; it is x=4.  Then evaluate the function at x=4:

f(4) = (4-2)(4-6) = 2(-2) = -4.  The vertex is at (4,-4).

Plot (4,-4).  Then (arbitrarily) let x=0 and find y:  f(0) = y = (-2)(-6) = -12.
So, when x = 0, y = -12.

Plot this point (1, -12).  realize that the parabola is symmetric about the line x=4.  (1,-12) is 3 units to the left of the axis of symm, and thus another point on the parab. is 3 units to the right of this axis, x= 7.  Plot (7,-12).  Now draw the parabola thru (7,-12), (1, -12) and (4, -4).  The parab. opens up.
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A 500 g bag of sugar costs N195. A 25 kg
Gala2k [10]

Answer:

40 N

Step-by-step explanation:

To know which bag is cheaper, you have to compare both package price as cost per kilograms of sugar. Then we can find how much we can save by finding the difference between the two values

The 500g sugar package cost is N195. Every kg is equal to 1000g, so the price will be: 195N/ (500g*1kg/1000g)= 390 N/kg

The 25kg sugar package cost is N8750.  so the price will be: 8750N/25kg= 350 N/kg

The amount you save per kg if you buy 25kg package instead of 500g will be: 390 N/kg - 350N/kg = 40 N/kg

6 0
3 years ago
Hello I need help here.
guajiro [1.7K]

The area of a circle with chord length of 3√2cm is 28. 3 cm²

<h3>How to determine the area</h3>

The formula chord length of  a circle is expressed as;

Chord Length = 2 × r × sin(c/2)

Where;

  • r is the radius
  • c is the angle formed by the chord and the circumference of the circle
  • Chord length = 3√2

Let's substitute into the formula

3√2 = 2r sin 90/ 2

3√2 = 2r sin 45

3√2 = 2r × 1/ √2

2r = 3√2 ×√2/ 1

2r = 6

Make 'r' the subject

r = 6/2

r = 3cm

The formula for area of a circle is expressed as;

Area = πr²

Area = 3.142 × (3)²

Area = 3. 142 × 9

Area = 28. 3 cm²

Thus, the area of a circle with chord length of 3√2cm is 28. 3 cm²

Learn more about area here:

brainly.com/question/22972014

#SPJ1

5 0
1 year ago
with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J
miskamm [114]
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.

We convert the given information to equations, step by step.

Point 1: When Jackie is 1 mile farther from the intersection than Judy.

This means y is 1 mile more than x.

So,

y = 1 + x

Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 

Distance between is x+ y.

So, x+y is 2 miles more than y.

x+y = y + 2
⇒
x = 2

From point 1 we have:

y = 1 + x = 1+ 2 = 3

So,

Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
4 0
2 years ago
How do you solve 34.86 x 1.2?
Nezavi [6.7K]

Answer: 41.832

Step-by-step explanation:

I like to write decimals without decimals when multiplying. for this I would do  

3486 x 12 which equals 41832 then You would move the decimal up from 3 spaces from the 2 from 41832 which would put the decimal between the 1 and 8

3 0
3 years ago
Determine which of the following logarithms is expanded correctly.
ziro4ka [17]

Answer:

A) log(jk2y = 7log i + 2logk

Step-by-step explanation:

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3 years ago
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