Please help!

Mathematics

2 answers:

alisha [4.7K]3 years ago

5 0

Answer: I know its not up there. When I did that I got (x+6)(x-2)

Ivenika [448]3 years ago

3 0

Answer:

B. (x - 6)(x + 2).

Step-by-step explanation:

x^2 - 4x - 12

We need 2 numbers whose product is the last number -12 and whose sum is the coefficient of x (-4).

These numbers are -6 and + 2.

So the factors are (x - 6)(x + 2).

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Carol has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. What is the maximum number of smoothies

nikdorinn [45]

Answer: The answer is 4.

Step-by-step explanation: Given that -

The number of cups of yogurt that Carol has to make smoothies is given by

$c_y=1\dfrac{5}{8}=\dfrac{13}{8},$

and the number of cups of yogurt that each smoothies uses is given by

$c_s=\dfrac{1}{3}.$

Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have

$n\times c_s\leq c_y\\\\\\\Rightarrow n\times \dfrac{1}{3}\leq \dfrac{13}{8}\\\\\\\Rightarrow n\leq\dfrac{39}{8}\\\\\\\Rightarrow n\leq 4\dfrac{7}{8}\\\\\\\Rightarrow n=4.$

Thus, the maximum number of smoothies is 4.

5 0

3 years ago

Aleks [24]

Can you please translate this so I can answer your question

6 0

2 years ago

A certain organization recommends the use of passwords with the following format: vowel commavowel, consonant comma consonant c

zimovet [89]

The password format is = inpray93

vowel , consonant, consonant, consonant, vowel, consonant, number, number.

There are 21 consonants, 5 vowels and 10 number choices (0-9)

Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices are available and for 7th and 8th position there are 10 choices (0 to 9).

Passwords are not case sensitive which means upper case and lower case letters are same.

So, the number of passwords can be =

$5\times21\times21\times21\times5\times21\times10\times10$