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2 years ago

Equivalent expressions: negative numbers & distribution

Mathematics

1 answer:

frez [133]2 years ago

8 0

Answer:

C) None of the above

When you simplify -6+4q+(-6q), you'll end up with -2q-6, which isn't present between the two choices.

-6(q+1)-4q = -10q-6, so that can't be the answer

2(q-3) = 2q - 6. But the 2q isn't negative, so therefore, this isn't the answer either

Therefore, the answer is C: None of the above

<em>Hope this helped!</em>

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Determine if the sequence is arithmetic. If it is, find the common difference. Is the sequence a function ?

BaLLatris [955]

$6)\\r=a_{n+1}-a_n\to r=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\a_1=-7;\ a_2=-10;\ a_3=-11;\ a_4=-13\\\\a_2-a_1=-10-(-7)=-10+7=-3\\a_3-a_2=-11-(-10)=-11+10=-1\\\\a_3-a_2\neq a_2-a_1\\\\\text{It's not an arithmetic sequence}$

$\r=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\8.)\\a_1=4;\ a_2=20;\ a_3=100;\ a_4=500\\\\r=\dfrac{20}{4}=\dfrac{100}{20}=\dfrac{500}{100}=5\\\\10.)\\a_1-30;\ a_2=-45;\ a_3=-50;\ a_4=-65\\\\\dfrac{a_2}{a_1}=\dfrac{-45}{-30}=\dfrac{3}{2}\\\\\dfrac{a_3}{a_2}=\dfrac{-50}{-45}=\dfrac{10}{9}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}$
$12.)\\a_1=-7;\ a_2=-14;\ a_3=-21;\ a_4=-28\\\\\dfrac{a_2}{a_1}=\dfrac{-14}{-7}=2\\\\\dfrac{a_3}{a_2}=\dfrac{-21}{-14}=\dfrac{3}{2}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}\\\\\text{It's a function}$

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3 years ago

PLS DO THIS 20 PTS AND BRAINLY

deff fn [24]

The table would be y = 6x

Divide the Y values by the X values and they all equal 6, so you multiply the X value by 6 to get y.

Look at the dots on the graph ( 1,5) (2,10) (3,15) (4,20)

Divide the Y value by the X and they all equal 5, soy = 5x

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3 years ago

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Hank's gas tank holds 18.5 gallons. If the tank has 6 gallons of gasoline in it, what percent of the tank is empty?

sergij07 [2.7K]

18.5 - 6 = 12.5 gallons empty

12.5 / 18.5 = 0.676

0.676 x 100 = 67.6%

Answer: 67.6%

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3 years ago

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An object is launched at 19.6 m/s from a height of 58.8 m. The equation for the height (h) in terms of time (t) is given by h(t)

beks73 [17]

H(t) = Ho +Vot - gt^2/2

Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2

H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2

Maximun height is at the vertex of the parabole

To find the vertex, first find the roots.

58.8 + 19.6t - 4.9t^2 = 0

Divide by 4.9

12 + 4t - t^2 = 0

Change sign and reorder

t^2 - 4t -12 = 0

Factor

(t - 6)(t + 2) =0 ==> t = 6 and t = -2.

The vertex is in the mid point between both roots

Find H(t) for: t = [6 - 2]/2 =4/2 = 2

Find H(t) for t = 2

H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4

Answer: the maximum height is 78.4 m

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3 years ago

How do you write 7% in the most simple fraction

sesenic [268]

Answer:

The answer is 7/100 in a Simplified Fraction.

Step-by-step explanation:

Hope this helps!

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2 years ago

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