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Harman [31]
2 years ago
11

Write the quadratic function in vertex form. Then identify the vertex.

Mathematics
1 answer:
ddd [48]2 years ago
7 0

Answer:

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

g(x) = (x^2 - 4x + ...) - 1\\g(x) = (x^2-4x+(\frac{4}{2})^2 ) - 1 - (\frac{4}{2})^2 \\g(x) = (x-2)^2 - 5\\

This is in the form

y = a(x-h)^2 + k\\(h, k)

So, the vertex is (2, -5)

and g(x) = (x-2)^2-5

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What is the mass of an object that has a density of 1.3 g/cm3 and a volume
tangare [24]

Answer:

The mass of the object is 2.6 grams

Step-by-step explanation:

The density of an object is the ratio between its mass and its volume

The equation of the is d = \frac{m}{V} , where

  • m is the mass
  • V is the volume

Let us use this equation to solve the question

∵ An object has a density of 1.3 g/cm³

∴ d = 1.3 g/cm³

∵ Its volume is 2 cm³

∴ V = 2 cm³

→ Substitute them in the equation of the denisty above

∵ 1.3 = \frac{m}{2}

→ Multiply both sides by 2

∴ 2 × 1.3 = 2 × \frac{m}{2}

∴ 2.6 = m

∴ The mass of the object is 2.6 grams

8 0
3 years ago
If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
larisa86 [58]
Volume: h • pi r^2

Volume: (7.5) • pi (2)^2

Volume: 94.247796

Just round to your teacher’s liking
6 0
2 years ago
5.65 times 3.4 estimate
lidiya [134]
We can round 5.65 up to 6 and 3.4 down to 3.
3 * 6 = 18
now let's see how close our estimate is to the real answer
5.65 * 3.4 = 19.21
Our answer was pretty close to the real answer!

Hope I helped!
~ Zoe
3 0
3 years ago
Read 2 more answers
How do you solve 216 - 202?? -explained-
Serhud [2]

Answer: 216 - 202 = 14

Step-by-step explanation:

It’s 14 because in my way, I separated the numbers, like this:

200 - 200 = 0

16 - 2 = 14

Since 0 is equal to nothing, the answer is 14.

6 0
3 years ago
Find the missing exponent.
vlada-n [284]
The missing exponent is 21 :)

Explanation: when dividing exponents, subtract them so in this case, it’s 25-19 to get 6 as the answer
6 0
3 years ago
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