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3 years ago

Lenny thinks the following expressions are equivalent:

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

4 0

No. the first simplifies to 10a -4 and the second is 10a-2

julia-pushkina [17]3 years ago

3 0

Yes, he is correct, using the distributive property you get the same answer

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8x+2(3x-12)=-122<br> Find the value for x. I'm so bad at this kind of thing plz I need help

vampirchik [111]

Answer: x=-7

Step-by-step explanation:

1. distribute the 2 to (3x-12) >>>> 8x+6x-24=-122

2. add 8x and 6x to get 14x >>>> 14x-24=-122

3. add 24 to both sides>>>> 14x=-98

4. divide 14 by both sides>>>x=-7

6 0

3 years ago

Which of the following sets of ordered pairs is a function?

Bumek [7]

I think B. Would be the answer

3 0

3 years ago

Given f (x) = 3x - 5 find f (x - 2)

antiseptic1488 [7]

Answer:

3x-11

Step-by-step explanation:

f (x) = 3x - 5

f(x-2)

Replace x in the function with x-2

f (x-2) = 3(x-2) - 5

=3x-6 -5

=3x-11

3 0

2 years ago

Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repe

Makovka662 [10]

Given:

The expression is

$(-8)^3\cdot (-8)^4$

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

$(-8)^3\cdot (-8)^4$

The repeated multiplication form of this expression is

$=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]$

$=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)$

Clearly, (-8) is multiplied seven times by itself. So,

$=(-8)^7$

Therefore, the repeated multiplication form of the given expression is $(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)$ and the expression as single power is $(-8)^7$ .

7 0

2 years ago

A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue b

Mama L [17]

(a) A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue block are 4/7. What is the probability of choosing a blue block?

Answer:

7/11 is the probability of choosing a blue block.

Step-by-step explanation:

We need the probability of choosing a blue block,

Odds:

The odds of an event is the ratio of the probability of an event to the probability of its complement. In other words, it is the ratio of favorable outcomes to unfavorable outcomes.

The odds against choosing a blue block are 4/7 means. In 11 chances, 4 events will happen in which blue block will not be chosen and 7 events will happen in which blue blocks will be chosen.

So, the probability of not choosing the blue block is 4/11.

Probability of choosing blue block: complement of 4/11 which is equal to 7/11.

(b) Amanda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answer:

The odds in favor of her character unlocking the treasure chest are 13/7.

Step-by-step explanation:

The probability of Amanda's character unlocking the treasure chest is 13/20.

It means, in 20 total chances, 13 times an event will happen where Amanda's character unlocks the treasure chest while the rest 7 times, her character would not open treasure chest.

Favorable events: 13

Unfavorable events: 7

Hence, the odds in favor of her character unlocking the treasure chest are 13/7.

7 0

3 years ago