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Vladimir79 [104]
3 years ago
11

The expression shown below

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0
First you must factor out a -4 giving you -8(2x^2-3x-4) then find what numbers multiply to equal -8 (you get that number by multiplying the leading coefficient 2 and the constant -2) and add to give you -3. Those numbers are -4 and 1. So the factored form of the original equation is -8(2x+1)(x-2) the reason why you have a -2 instead of -4 in the second parentheses is because when you multiply by the 2x in the first parentheses it will equal 4x.
Hope this helps!
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How do you know that the sum of 7-1g and 7-2 is rational?
user100 [1]

The sum of 7-1 and 7-2 will be a rational number because sum of rational numbers is a rational numbers.

A rational number is a number which can be written in p/q form where q≠0.

We know that when two rational numbers is added then the sum is also a rational number. And when two rational numbers are subtracted then the difference is also a rational number.

So in the given question, lets study the term differently that is,

i) 7 - 1 is a rational number because their difference is equal to 6 and it can be written in p/q form which is 6/1.

ii) 7 – 2 is also a rational number as their difference will be 5 which is a rational and can be written in p/q form which is 5/1.

So when these two rational numbers are added their sum will also be a rational number which is 11.

Learn more about rational numbers here : brainly.com/question/12088221

#SPJ9

5 0
2 years ago
If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?
Advocard [28]
81 degrees
1 degree = 2 pi / 360
81 degrees = 162 pi / 360
=9 pi / 20

L (arc) = radius x angle
= 10 x 9 pi / 20
90 pi /20
9/2 pi : D

The answer is D
7 0
3 years ago
Read 2 more answers
105% of 260 What is the answer?
damaskus [11]
Percent means parts out of 100
105%=105/100=1.05
'of' means multiply

105% of 260=1.05 times 260=273
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to<br> %?
olganol [36]

Answer:

x^{\frac{2}{3} }

Step-by-step explanation:

⇒ x^({\frac{4+2}{3}) } ^{\frac{1}{3} }

⇒ (x^{\frac{6}{3} })

⇒ (x^{2} )\frac{1}{3}

⇒ x^{\frac{2}{3} }

8 0
2 years ago
Problem solving with inequalities
anzhelika [568]

Option D:

15c ≤ 200

Solution:

Let c be the number of cases of tea bags.

Cost of each tea bag = 15 gold coins

Total gold coins Mad have = 200

<u>Set up an inequality:</u>

Cost of c tea bags = 15 × c = 15c

Mad can buy tea bags at most 200 gold coins.

(At most 200 means 200 is the greater value)

15 × c ≤ 200

15c ≤ 200

Hence option D is the correct answer.

8 0
4 years ago
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