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3 years ago

Simplify the equation. (5xE2 - 3x) - (5xE2 - 3x+1)

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer:

$\huge \boxed{\mathrm{-1}}$

Step-by-step explanation:

$(5xe^2 - 3x) - (5xe^2 - 3x+1)$

Distribute negative sign.

$5xe^2 - 3x- 5xe^2 +3x-1$

Combine like terms.

$0xe^2 +0x-1$

$0-1=-1$

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On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system.

Mashutka [201]

we have

$y\leq \frac{1}{4}x+3$ ----> inequality 1

The solution of the inequality 1 is the shaded area below the solid red line

The solution is the region D and region C

$y\geq-x+5$ -----> inequality 2

The solution of the inequality 2 is the shaded area above the solid blue line

The solution is the region B and region C

The solution of the system is the common area

The solution is the region C

see the attached figure

therefore

the answer is the option C

Region C

3 0

2 years ago

Read 2 more answers

Simplify the expression csc(-x)/1+tan^2x)

Charra [1.4K]

Assuming ya meant $\frac{csc(-x)}{1+tan^2(x)}$

to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos

for the pythaogreaon identity
$cos^2(x)+sin^2(x)=1$
divide both sides by $cos^2(x)$
$1+tan^2(x)=sec^2(x)$ since $\frac{sin(x)}{cos(x)}=tan(x)$
subsitute
$\frac{csc(x)}{sec^2(x)}$

recall that $csc(x)=\frac{1}{cos(x)}$
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore $csc(-x)=\frac{1}{cos(-x)}=\frac{1}{cos(x)}=csc(x)$
so we get

$\frac{csc(x)}{sec^2(x)}$
decompose them into $\frac{1}{cos(x)}$ and $\frac{1}{sin^2(x)}$ to get $\frac{\frac{1}{cos(x)}}{\frac{1}{sin^2(x)}}$
multiply by $\frac{sin^2(x)}{sin^2(x)}$ to get
$\frac{sin^2(x)}{cos(x)}$
we can furthur simlify to get
$(\frac{sin(x)}{cos(x)})(sin(x))=tan(x)sin(x)$
the expression simplifies to tan(x)sin(x)

5 0

2 years ago

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Is this graph and example of sun or cos graph?

dexar [7]

It is a cos graphhhh

7 0

2 years ago

Which line plot (s) represents 2/4?

Masja [62]

Answer:

Number 1= 5th vertical line

number 2= 2nd vertical line

number 3= halfway between 2nd and 3rd vertical line

Step-by-step explanation:

7 0

2 years ago

On a map, 1 inch equals 8 miles.two cities are 6 inches apart on the map.what is the actua distance between the two cities?

TiliK225 [7]

Answer:

48 Miles

Step-by-step explanation:

I assume you are asking for the distance in miles between the two cities.

1 Inch = 8 Miles,

Then 6 Inches = 8 Miles * 6

If the cities are 6 inches apart, the actual distance is 48 miles.

7 0

2 years ago