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3 years ago

Find the area of the shaded region in the image below. Write your answer as a simplified polynomial in standard form.

Mathematics

1 answer:

Misha Larkins [42]3 years ago

7 0

Answer:

6x^2+17x+9

Step-by-step explanation:

you have to subtract the area of the white rectangle from the area of the entire rectangle

to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3

to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6

(8x^2+16x+6)-(2x^2-x-3)=8x^2+16x+6-2x^2+x+3=6x^2+17x+9

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Which of the following numbers is a rational but not a integer

Temka [501]

Rational numbers are numbers that can be turned into a fraction. They can be negative or positive.
Integers are whole numbers. They can be negative or positive.

Numbers such as 0.10 are rational because they can be turned into a fraction
0.10 = 1/10....and since it is not a whole number, it is not an integer.

8 0

3 years ago

What is the equation of the line that is parallel to the line y = -1/3x+4

RUDIKE [14]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{1}{3}$ x + 4 ← is i slope- intercept form

with slope m = - $\frac{1}{3}$

Parallel lines have equal slopes, thus

y = - $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 2 + c ⇒ c = 5 + 2 = 7

y = - $\frac{1}{3}$ x + 7 ← equation of parallel line

8 0

3 years ago

List the members of P(fa, b, c, d}). Which are proper subsets of fa, b,c, d)?

ankoles [38]

Answer: As i understand, the set is P = {a,b,c,d}

then all the proper subsets are all the sets that belongs to P, that are different of P. Then A is a subset of P if all the elements of A belongs to P, but A is not equal to P

this is:

the sets of one element : {a}, {b}, {c}, {d} and the null set; ∅

sets of two elements: {a,b} , {a,c} , {a.d}, {b,c}, {b,d}, {c,d}

sets of three elements : {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}

and there arent sets of 4 elements or more.

6 0

3 years ago

At a toy factory, toy cars are produced on an assembly line. It takes 2.054 s to attach each of the four wheels. It takes 3.652

IrinaK [193]

Add together the time it takes to put on the four wheels and the hood.
2.054s +3.652s = 5.704s

multiple this answer by 42

5.706s times 42= 239.652s

answer number two is correct

8 0

3 years ago

Order these numbers for lest to greatest 1/2 ,1.1 ,5/3 ,2, 0 ,0.4, -2 ,5/8

Nat2105 [25]

The least number should always start off with negatives if there are any. In this case there is so we can start with -2 as our least amount. Next are the small fractions. If you're allowed a calculator, I would use that to find what the decimals will look like for each fraction:

$\frac{1}{2} =0.5\\ \\ \frac{5}{3} =1.6666666666666666666666666666667\\ \\ \frac{5}{8} =0.625$

After -2 the next least number is 0 and the next one is the fraction or decimal closest to the number 0 which is 0.4

The next number would be from the fractions we solved earlier. 0.5 and 0.625 would follow 0.4 and then 1.1 and 1.6667(solved for from fraction).

Here is the list:

$-2,0,0.4,\frac{1}{2} ,\frac{5}{8} ,1.1,\frac{5}{3}$

Hope this helps!

6 0

3 years ago