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KATRIN_1 [288]
3 years ago
5

...................................................................................................................help

Mathematics
1 answer:
morpeh [17]3 years ago
4 0

Answer:

4 \frac{7}{72}

Step-by-step explanation:

18 \frac{7}{8}  -   14 \frac{7}{9}  =\\\\18 \frac{63}{72}  - 14 \frac{56}{72}  \\\\18 \frac{63}{72}  = \frac{1359}{72} \\\\14 \frac{56}{72}  =   \frac{1064}{72}\\ \\\frac{1359}{72} - \frac{1064}{72} = \frac{295}{72}\\\\4 \frac{7}{72}

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What is the domain and range of the function y = 2x2 - 4x - 10?
11111nata11111 [884]

Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

2(x^2-2x+1)=10+2

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

x^2-2x+1=(x-1)^2 and on the right we will just add 10 and 2:

2(x-1)^2=12

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2(x-1)^2-12=y

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4 0
3 years ago
Plz help i'll give thanks and brainliest
yan [13]
I believe it is D if i’m correct
3 0
3 years ago
Q1: Gabbi purchased a 30 lb. bag of dog food. Gabbi has 3 dogs that each eat 20 ounces of dog food per day. How many days will t
olya-2409 [2.1K]

Answer:

x=8

Step-by-step explanation:

First multiply 30 and 16 to find out how many ounces are in the 30 lb. bag of dog food.

30 x 16=480

Since the 3 dogs eat 20 ounces of food, we can make a equation.

3(20x)=480

20 x 3=60

60x=480

x=8

<u>Final answer</u>

8 days

3 0
3 years ago
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