Given the function f(x) = -5|x+ 1|+3, for what values of x is f(x) = -12?

Mathematics

1 answer:

Andrews [41]2 years ago

3 0

You just take turns plugging them in after putting -12 where f(x) is. The answer is the third one

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Shelly bought 7 boxes of fish food and 2 packets of cat food. Each box of fish food contained 6 pouches, and each packet of cat

AfilCa [17]

Answer: 34 more pouches

7 boxes - fish food; 1 box contained 6 pouches

Total amount of fish food is 7 × 6 = 42 pouches of fish food

2 packets - cat food; 1 packet contained 4 pouches

Total amount of cat food is 2 × 4 = 8 pouches

How many more pouches of fish food than cat food did Shelly buy?

42 pouches - 8 pouches = 34 pouches

Therefore there was 34 more pouches of fish food than cat food

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3 years ago

How many words of five letters can be created that start with the letter T, contain 2 other consonats and end with 2 vowels? Not

Jet001 [13]

If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

$\dbinom52=\dfrac{5!}{2!(5-2)!}=10$

ways of picking the vowels, and

$\dbinom{20}2=\dfrac{20!}{2!(20-2)!}=190$

ways of picking the consonants.

We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

$4!\dbinom52\dbinom{20}2=\boxed{45,600}$

Keep in mind that this means words like TRIES and TIRES are treated as different.

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3 years ago

A recent research study randomly divided participants into groups who were given different levels of Vitamin E to take daily. On

horrorfan [7]

Answer: D. To produce treatment groups with similar characteristics

Step-by-step explanation:

By using randomization in sampling, the Sample would be more representative of the Population it is based off of because different demographic characteristics may be picked.

This leads to a situation where the groups have similar characteristics between themselves thereby making it easier for comparison. For example, Group 1 would have certain types of people that will be represented in Group 2 and Group 3 as well. That way the effects of the drug can be properly studied as it affects different people. For instance, say there are 4 obese people in a sample of 10, instead of group one having all obese people, randomization may be able to give group one, 2 obese people and 2 obese people to group 2 as well. That way when comparing, the effects of the drug on the two groups is easier to be compared because the two groups have similar people.

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3 years ago

Find the measure of the three missing angles in the parallelogram below.

elixir [45]

Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees

Step-by-step explanation:

Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.

Opposite angles of a paralellogram are equal.

Therefore, x = y = 77 degrees and z = 103 degrees

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2 years ago

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