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2 years ago

PLEASE HELP ME OUT? it's an assignment due in an hour!

Mathematics

2 answers:

solmaris [256]2 years ago

7 0

Answer:

f(g(5)) = 11

Step-by-step explanation:

f(x) = x - 2
g(x) = 3x - 2

The composite function f(g(5)) is found by plugging g(5) for x into f(x).

Let's find g(5) first.

g(5) = 3(5) - 2
g(5) = 15 - 2
g(5) = 13

Next, plug this value for x into f(x).

f(13) = (13) - 2
f(13) = 11

∴ <u>f(g(5)) = 11</u>.

Kipish [7]2 years ago

4 0

$\text{Given that,} ~ f(x) = x -2~ \text{and}~ g(x) = 3x-2\\\\f(g(5))\\\\=f(3\cdot 5 -2)\\\\=f(15-2)\\\\=f(13)\\\\=13-2\\\\=11$

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Ln(x-3) - ln(x+3) = ln (2/x)

cricket20 [7]

The answers are x=6 or x=-1.

To solve this, we first use the quotient rule for the natural logarithm. It says that ln(x/y) = ln(x) - ln(y). Applying this, we take our original equation,
$\ln(x-3)-\ln(x+3)=\ln(\frac{2}{x})$
and rewrite it as
$\ln\frac{x-3}{x+3}=\ln\frac{2}{x}$

We undo natural log by raising e to both sides:
$e^{\ln\frac{x-3}{x+3}}=e^{\ln\frac{2}{x}}$

Once this is canceled we are left with:
$\frac{x-3}{x+3}=\frac{2}{x}$

If we view this as a proportion, we can cross multiply:
(x-3)(x) = 2(x+3)

Using the distributive property on both sides we have:
x²-3x=2x+6

Cancel the 2x from the right hand side by subtracting:
x²-3x-2x=2x+6-2x
x²-5x=6

Cancel the 6 by subtracting:
x²-5x-6=0

This is easily factorable. We want factors of -6 that sum to -5; -6(1) = -6 and -6+1=-5:
(x-6)(x+1)=0

Using the zero product property, we know either x-6=0 or x+1=0; thus x=6 or x=-1.

4 0

3 years ago

Write a division expression that would have a result of 28<br><br>Division ___ ÷ ___ = 28

alukav5142 [94]

Answer:

14÷2=28

Step-by-step explanation:

6 0

3 years ago

Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of

neonofarm [45]

Answer:

Step-by-step explanation:

Let cases of Lyme disease = x

x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1

$\sum x = 35$

$\sum x^2 = 139$

y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0

$\sum y = 24$

$\sum y^2 = 72$

$\sum xy = 55$

$S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24$

$S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15$

b) Linear correlation between Lyme disease and drowning deaths.

$r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }$

r = -15/ √(24*36.92)

r = -0.504

3 0

3 years ago

Help please ! A B Or C

malfutka [58]

Answer:

B) 46

Step-by-step explanation:

What you have to do here is plug in the numbers 2, 3, 4, and 5 in for i in the equation and then add the sums together:

3(2) + 1 = 7

3(3) + 1 = 10

3(4) + 1 = 13

3(5) + 1 = 16

Add those together and they equal 46

3 0

3 years ago

AP Math

Archy [21]

The discriminant for a quadratic polynomial gives you information about the polynomial's roots.

Given $y=ax^2+bx+c$ , the discriminant is given by $\Delta=b^2-4ac$ .

There are three possible conclusions you can draw. If $\Delta>0$ , then the quadratic has two distinct real roots. If $\Delta=0$ , then there is one repeated real root. If $\Delta$ , then there are two complex (non-real) roots.

Since you found $\Delta=72>0$ , that means that $y$ has two distinct real roots.

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3 years ago