Is x+4 a factor of P(x)=4x^2-4x+8?

Mathematics

1 answer:

mina [271]1 year ago

4 0

Answer:

(x^3-2x^2-4)*(x+2)

Step-by-step explanation:

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A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

Citrus2011 [14]

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

$\underline\pink{\textsf{Solution :-}}$

(i) We will use here geometric progression formula to find height an times

${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) here we will use the sum formula of geometric progression for finding the total nth impact

$\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$

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1 year ago

Which graph shows a system of equations with no solutions? On a coordinate plane, the graphs of 2 circles are shown. Both circle

daser333 [38]

Answer:

1st Graph: 2 circles are shown

Step-by-step explanation:

In order to have a solution set, the 2 graphs need to intersect each other. All the graphs but the 2 circles intersect and have a solution. Therefore, our answer is the 1st Graph.

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2 years ago

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Ava bought 4 bags of bird seed. Each bag contains 600 grams of seed. How many kilograms of seed did Ava buy in all?

kenny6666 [7]

600 grams = 0.6 kilograms
0.6 x 4 = 2.4 kilograms

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2 years ago

Without calculating, would 0.4+(2+0.6) be less than , greater than, or equal to 3? Explain.

Ainat [17]

It would be greater than three because it is addition and when you add it is to increase not decrease. good luck!

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