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3 years ago

F(x) = 3x^2 -15 g(x) = 1 -2/3x

Mathematics

1 answer:

Oliga [24]3 years ago

8 0

Answer:

f(g(-6)) is equal to 60

Step-by-step explanation:

We can simply solve this by first plugging -6 into function 6, and then applying function f to the result of that.

$f(g(-6))\\= f(1 - \frac{2(-6)}{3})\\= f(1 - \frac{-12}{3})\\\\= f(1 + 4)\\= f(5)\\= 3(5)^2 - 15\\= 3 * 25 - 15\\= 75 - 15\\= 60$

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To which subsets of real numbers does the following number belong? square root of 30

LenaWriter [7]

In order to determine which subset it belongs, we must rewrite

$\sqrt(30)$

$\sqrt(30)=\sqrt(2\times \times 3 \times 5)$

$\Rightarrow \sqrt(30)=\sqrt(2 \times 3\times 5)$

$\Rightarrow \sqrt(30)=\sqrt(2) \times \sqrt(3) \times \sqrt(5)$

All these three numbers are irrational numbers, hence their product is also irrational

<h2> $\Rightarrow \sqrt(30)$ </h2><h2>belongs to the set of irrational numbers</h2>

6 0

3 years ago

Read 2 more answers

Find the sum of the first 18 terms of the arithmetic sequence whose nth term is an = 3n - 1.

vodka [1.7K]

Answer:

495

Step-by-step explanation:

In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.

a1=3(1)-1 a1=2

a18=3(18)-1 a18= 53

Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)

Sn=18/2(2+53) Solve for sn= 495

7 0

3 years ago

3(x+5)= 30 divided by 5

harina [27]

Answer:

x=-3

Step-by-step explanation:

I have a formula

3 0

3 years ago

A bag contains 8 red marbles, 4 blue marbles and 2 green marbles. If two marbles are

nikitadnepr [17]

Answer:

Step-by-step explanation:

4 0

2 years ago

A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by

garik1379 [7]

Answer:

$x^2+12x-220=0$ -- Proved

$x = 10\ \ \ x = -22$

Step-by-step explanation:

Given

$Volume = 924cm^3$

$Dimension: 4cm; (x+1)cm; (x+11)cm$

Required

Show that $x^2+12x-220=0$

The volume is calculated as:

$4 * (x + 1) * (x + 11) = 924$

Open the brackets

$(4x + 4) * (x + 11) = 924$

$4x^2 + 44x + 4x + 44 = 924$

$4x^2 + 48x+ 44 = 924$

Collect Like Terms

$4x^2 + 48x+ 44 - 924=0$

$4x^2 + 48x -880=0$

Divide through by 4

$\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0$

$x^2+12x-220=0$

Solving further:

Expand the expression

$x^2 + 22x - 10x - 220 = 0$

Factorize:

$x(x + 22) - 10(x + 22) = 0$

$(x - 10)(x + 22) = 0$

Split:

$x - 10 = 0;\ \ \ x + 22 = 0$

$x = 10\ \ \ x = -22$

5 0

3 years ago