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9966 [12]
2 years ago
13

1/2(4x-2)-2/3(6x+9<4

Mathematics
1 answer:
babymother [125]2 years ago
6 0
\frac{1}{2}(4x - 2) - \frac{2}{3}(6x + 9) < 4   Use the Distributive Property
2x - 1 - 4x + 6 < 4   Combine like terms (-1 and 6)
    2x + 5 - 4x < 4   Combine (2x and -4x)
          -2x + 5 < 4   Subtract 5 from both sides
                -2x < -1   Divide both sides by -2, don't forget to flip the inequality                                    sign after dividing by a negative
                    x > \frac{1}{2}
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Simplify 2 (n+1) + n² + 4 (n-3)
Gala2k [10]
2 (n+1) + n² + 4 (n-3) 
= 2n + 2 +  n² + 4n - 12 ...expand by using distributive property
=  n² + 6n - 10 ...combine like terms

hope it helps
4 0
2 years ago
Read 2 more answers
Find each measure.
andreyandreev [35.5K]

Answer:

The BMW E30 is the second generation of BMW 3 Series, which was produced from 1982 to 1994 and replaced the E21 3 Series. The model range included 2-door sedan and convertible body styles,[4][5] as well as being the first 3 Series to be produced in 4-door sedan and wagon/estate body styles. It was powered by four-cylinder petrol, six-cylinder petrol and six-cylinder diesel engines, the latter a first for the 3 Series. The E30 325iX model was the first BMW to have all-wheel drive.

Step-by-step explanation:

4 0
3 years ago
Write down the 3rd term in the sequence given by: T(n) = n2 + 4 pls explain how to do It plsss
crimeas [40]

Answer:

T(3) = 13

Step-by-step explanation:

If we are trying to find the 3rd term of this <em>specific </em>sequence, then we simply plug in 3 as n.

T(3) = (3)² + 4

T(3) = 9 + 4

T(3) = 13

However, this isn't proper notation for an arithmetic or geometric sequence.

8 0
3 years ago
Read 2 more answers
DEF is a dilation image of ABC. What is the scale factor?
horsena [70]

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = \frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}

                    = \frac{DE}{AB}

                    = \frac{4}{8}

                    = \frac{1}{2}

Therefore, scale factor by which ΔABC is dilated is \frac{1}{2}.

Option (2) will be the correct option.

7 0
2 years ago
An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 fruits were sold for a total of $2.10. How many apples
hammer [34]

Answer:

6 apples

Step-by-step explanation:

A = 0.25

P = 0.15

----------------

A + P = 10

0.25A+0.15P=2.10

----------------

I did this: 0.25*10 = 2.50

2.50-2.10=.40

0.25-0.15=0.10

0.40/0.10 = 4 so 4 peaches

10 fruits - 4 peaches = 6 apples

5 0
2 years ago
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