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3 years ago

I need help with this polynomial question: (5x^5-2x)-(4x^4+3x^2). This ^ means to the power of.

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

Answer:

Step-by-step explanation:

5x^5 - 2x - 4x^4 - 3x^2

5x^5 - 4x^4 - 3x^2 - 2x

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Give the equation for each of the following statements.

emmasim [6.3K]

Answer:

Step-by-step explanation:

1. Y varies jointly as R and T

Y = k*R*T

Y = kRT

Where,

k = constant of proportionality

2. B is directly proportional to the square of A and inversely proportional to the cube of C.

B = k(A²) / C³

B = kA²/C³

Where,

k = constant of proportionality

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2 years ago

Emilio's vegetable patch is 7 yards wide and 15 yards long. Emilio wants to build a fence

madam [21]

It would cost $132. 7+7+15+15X3=132

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2 years ago

Find the length of side a. 5 3 O A. 16 O B. 34 O c. 2 O D. 4

xxMikexx [17]

Answer:

Step-by-step explanation:

a= $\sqrt{c^{2} -b^{2} }$

$\sqrt{5^{2} -3^{2} } =$ 4

a=4

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3 years ago

a 60 foot tree casts a shadow 85ft long. the sine of the angle between the ground and the line that connects the tip of the shad

Jet001 [13]

The shadow to the top of the tree is 60 ft it all makes sense

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3 years ago

I dont understand how to do this precalc question

Alexeev081 [22]

Answer:

x-intercept: (-0.1, 0)
Horizontal Asymptote: y = -3
Exponential growth

(First answer option)

Step-by-step explanation:

General form of an exponential function

$y=ab^x+c$

where:

a is the initial value (y-intercept).
b is the base (growth/decay factor) in decimal form:
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
y=c is the horizontal asymptote.
x is the independent variable.
y is the dependent variable.

Given exponential function:

$y=4(10)^x-3$

<h3>x-intercept</h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:

$\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}$

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3>Asymptote</h3>

An asymptote is a line that the curve gets infinitely close to, but never touches.

The parent function of an exponential function is:

$f(x)=b^x$

As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form $f(x) = ab^x+c$ always has a horizontal asymptote at y = c.

Therefore, the horizontal asymptote of the given function is y = -3.

<h3>Exponential Growth and Decay</h3>

A graph representing exponential growth will have a curve that shows an increase in y as x increases.

A graph representing exponential decay will have a curve that shows a decrease in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).

If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

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2 years ago