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rosijanka [135]
3 years ago
6

Which function has a range of {yly < 5}?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0

Answer:

f(x) = -(x-4)^2 + 5

Step-by-step explanation:

The function f(x) = -(x-4)^2 + 5 is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.

Proving that f(x) = -(x-4)^2 + 5 \le 5 for all x:

x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.

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a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube)
Over [174]

Answer:

20 people

Step-by-step explanation:

The volume of a cuboid is equal to length * breadth * height.

First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.

Next, the volume is  length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so

280cm³/14cm³ = 20 people

Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x

5 0
3 years ago
Evaluate the following expression:
Molodets [167]

Answer:

Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury, and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury were heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.

Step-by-step explanation:

7 0
3 years ago
Solve 5 + 44 = 2 + r
pickupchik [31]
Okay the answer is r=47
Let's solve your equation step-by-step.<span>5+44=2+r
</span>Step 1: Simplify both sides of the equation.<span>5+44=2+r
</span>Simplify:<span>49=r+2
</span>Step 2: Flip the equation.<span>r+2=49
</span>Step 3: Subtract 2 from both sides.<span><span>r+2−2</span>=49−2</span>r=47
Answer:<span>r=<span>47
Hope this helps!:)</span></span>
6 0
2 years ago
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Evaluate the expression 5(-3) using a number line.​
MArishka [77]

Answer: -15

Step-by-step explanation:

7 0
2 years ago
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3 folders cost $2.91
WARRIOR [948]

Answer: E. None of the above

Step-by-step explanation:

The equation to solve the problem should look like...2x = $2.91 / 3

3 0
2 years ago
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