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3 years ago

Item 4

Mathematics

1 answer:

enyata [817]3 years ago

7 0

Answer:

D. 4

Step-by-step explanation:

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If f(x) = x^2 - 2x and g(x) = 6x + 4, for what value of x does (f + g)(x) = 0?

larisa86 [58]

Answer:

x = -2

Step-by-step explanation:

$f(x) =x^2 -2x\:\: and \:\: g(x) = 6x + 4\\(f+g)(x) = f(x) + g(x) \\(f+g)(x) = x^2 -2x+ 6x + 4\\(f+g)(x) = x^2+4x + 4\\(f+g)(x) = (x+2)^2\\ 0 = (x+2)^2...[\because (f+g)(x) =0]\\0 = x+2\\\therefore x = -2$

6 0

3 years ago

Read 2 more answers

What is the sum of the arithmetic series

docker41 [41]

Answer:

$S_ {12} = 192$

Step-by-step explanation:

The nth term of the given arithmetic sequence is

$U_n = 3 + 2n$

The first term of this series is:

$U_1 = 3 + 2(1) = 5$

The last term of this series is when

$n = 12$

$U_ {12}= 3 + 2(12)$

$U_ {12}= 3 + 24 = 27$

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

$S_n = \frac{n}{2}(a + l)$

Where a=5 is the first term and l=27 is the last term.

$S_ {12} = \frac{12}{2}(5 + 27)$

$S_ {12} =6(32) =19 2$

6 0

3 years ago

Which value of y will make the inequality y < -1 false ?

scoray [572]

Hello!

Since y has to be less than -1 to make it false y has to be greater than -1

The answer 2 or just any number that is greater than -1

Hope this helps!

6 0

3 years ago

Emily is making a meal for her family. She uses coconut milk for the dessert she is making.

Artyom0805 [142]

Answer:

576 cm^3

Step-by-step explanation:

Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation. Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π: V = 3*(4)^2*12 cm^3, or V = 576 cm^3.

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3 years ago

An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump half of the water out of the

Nitella [24]

Answer:

$W=2452.5 J$