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3 years ago

The graph shown represents the equation y=3(1/3)^x

Mathematics

1 answer:

musickatia [10]3 years ago

3 0

Statements #1-4 are all true. Statement 5 is false due to the fact that when x = 0, y = 3.

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Please I need help I was in the hospital just need 1,3,5,7,9 simplified

Tju [1.3M]

#1 is 125
#3 is 1/2
#5 is the same as the question
#7 is 5p^3 over 3
#9 is 4/5

3 0

3 years ago

I NEED URGENT ASSISTANCE

Nata [24]

Answer:

8 C sometimes

9 64x^8 y^11

10 c 1.28r^2/ t^9

Step-by-step explanation:

Algebraic Operations

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

$\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}$

$\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}$

$\displaystyle x^{-n}=\frac{1}{x^n}$

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

$\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

This is a negative power resulting in a positive number

Now we pick

$\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}$

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

Answer: C sometimes

9 simplify(4xy^2)^3(xy)^5

$(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5$

$=64x^3y^6x^5y^5$

$=64x^8y^{11}$

10 simplify(2t^-3)^3(0.4r)^2

$(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2$

$=8t^{-9} 0.16 r^2$

$=1.28t^{-9} r^2$

$\displaystyle \frac{1.28 r^2}{t^9}$

7 0

3 years ago

GEOMETRY PROBLEM THAT I CAN NEVER GET

alina1380 [7]

Answer:

Therefore the friends will have to buy 511 feet of fence (rounding up) or 510 feet of fence ( to the nearest foot).

Step-by-step explanation:

i) perimeter of rectangular yard = 319 feet

ii) perimeter of yard of friends $= \frac{8}{5} \times 319 = 510.4$

iii) Therefore the friends will have to buy 511 feet of fence or 510 feet of fence ( to the nearest foot).

6 0

3 years ago

If f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x)

BartSMP [9]

The equation of f(x) is f(x) = x + 4

<h3>How to determine the equation?</h3>

The given parameters are

f(-1) = 3 and f(1) = 5

Start by calculating the slope (m) using:

$m = \frac{f(1) - f(-1)}{1 - -1}$

This gives

$m = \frac{5 - 3}{1 + 1}$

Evaluate

m = 1

The equation is then calculated as;

f(x) = m(x - x1) + f(-1)

This gives

f(x) = 1(x + 1) + 3

Expand

f(x) = x + 4

Hence, the equation of f(x) is f(x) = x + 4