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3 years ago

Simplify the following expression by combining like term show your work. 4x-6x

Mathematics

2 answers:

dem82 [27]3 years ago

4 0

Answer:

-2x

Step-by-step explanation:

four X's minus 6 X's leaves the absence of 2 X's

x x x x

- x x x x x x

_________

- x x

zubka84 [21]3 years ago

4 0

Answer:

-2x

Step-by-step explanation: A like term has the same variable and exponent. For example 3x^4 and 3x^3 are not like terms because they have different exponents and 3x^4 and 3y^4 are not like terms because they have different variables. In 4x-6x they are like terms. When you add or subtract like terms the variable and exponent stay the same so you only need to worry about the numbers out front which in this are 4 and 6. So when you have positive 4 and take 6 away you end up with -2 and since the variables and exponents stay the same you just add them back onto it and end up with -2x.

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Find the value of Theta in these diagrams (a and b)

ZanzabumX [31]

a. θ = 36. 9°

b. θ = 114. 2°

<h3>How to determine the value of theta</h3>

a. We use the cosine identity

cos θ = adjacent/hypotenuse

Adjacent = 4cm

Hypotenuse = 5cm

cos θ = 4/ 5

cos θ = 0. 8

Now, we have the inverse of the cosine value

θ = cos^-1 (0. 8)

θ = 36. 9°

b. We use the tangent identity

tan a = opposite / adjacent

tan a = 3. 8/1. 7

tan a = 2. 23

a = tan^-1 ( 2. 23)

a = 65. 8

We have;

a + θ = 180 °; angles on a straight line

θ = 180 - 65. 9

θ = 114. 2°

Learn more about trigonometric identities here:

brainly.com/question/7331447

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5 0

1 year ago

PLS HELP ME WITH MY GEOMETRY

Alex

Answer:

x = 10

z = 116°

Step-by-step explanation:

By the definition of supplementary angles, we have:

Step 1: Find <em>x</em>

7x + 46 + 5x + 14 = 180

12x + 60 = 180

12x = 120

x = 10

Step 2: Find the supplementary angle to <em>z</em>

5(10) + 14

50 + 14

Step 3: Find <em>z</em>

180 - 64 = 116

<em />

6 0

3 years ago

The equation y=19x relates proportional quantities x and y.

solong [7]

Answer:

the value of x is 0.2105

Step-by-step explanation:

7 0

3 years ago

Use a graphing utility to graph the function and visually estimate the limits.

levacccp [35]

The value of the $\lim_{x \to 0} f(x)$ and $\lim_{x \to \frac{\pi }{3} } f(x)$ are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = $4x cos x$

First to calculate the limit value of the given function at x=0.

$\lim_{x \to 0} f(x)$ = $\lim_{x \to 0} 4x cosx$

= 4×0×1 (∵ cos0 = 1)

$\lim_{x \to 0} f(x)$ = 0

Similarly,

$\lim_{x \to \frac{\pi }{3} } f(x)$ = $\lim_{x \to \frac{\pi }{3} } 4x cosx$

= 4× $\frac{\pi }{3}$ ×cos $\frac{\pi }{3}$

= 4× $\frac{\pi }{3}$ × $\frac{1}{2}$ (∵cos60° = $\frac{1}{2}$ )

$\lim_{x \to \frac{\pi }{3} } f(x)$ = 1.153

Hence, The value of the $\lim_{x \to 0} f(x)$ and $\lim_{x \to \frac{\pi }{3} } f(x)$ are 0 and 1.153.

To learn more about the limit of the function from the given link:

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8 0

1 year ago

Therese invested her $200 West Virginia lottery winnings in a 6-month certificate of deposit (cd) that earns 3% simple interest

REY [17]

Well, simple interest, earns the same amount every year, as opposed to compund interest.... so let's see how much Therese gets in say 1year then

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &1
\end{cases}$

8 0

3 years ago