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2 years ago

Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a

Mathematics

1 answer:

9966 [12]2 years ago

8 0

Answer:

D. $3x + 1$

Step-by-step explanation:

Perimeter of Rectangle ABCD = $9x + 3$

Perimeter of Rectangle PQRS = $6x + 2$

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

$(9x + 3) - (6x + 2)$

Open Parentheses

$9x + 3 - 6x - 2$

Collect like terms

$9x - 6x + 3 - 2$

$3x + 1$

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If f(x)= x-3/x , g(x)=x+3 , and h(x)=2x+1 , what is (g*h*f)(x) ?

alexgriva [62]

Answer:

Option B is correct

Step-by-step explanation:

We need to find g(h(f(x))

We first find h(f(x))

f(x) = x-3/x

Putting value of f(x) in place of x in h(x)

h(x) = 2x+1

h(f(x)) = 2(x-3/x) + 1

= 2(x-3/x) + 1

= 2x -6 /x +1

= 2x-6 +x/x

= 3x-6/x

Now, putting value of h(f(x)) in g(x)

g(x) = x+3

g(h(f(x)))= (3x-6/x) + 3

= 3x-6/x + 3

= 3x-6+3x/x

= 6x-6/x

So, Option B is correct.

6 0

2 years ago

Slope of a line that passes through points (1,7) and (3,3)

Nadusha1986 [10]

-2 is the answer because you do the change of y over the change of x.

3 0

2 years ago

Which of the following gives an equation of a line that passes through the point (3.-) and is

Mkey [24]

Answer:

A goes through the points

Step-by-step explanation:

5 0

2 years ago

Anyone can help??? ( thank youuu )

mezya [45]

Answer:

7/8 is larger than 5/6

Step-by-step explanation:

If you divide the numerator by the denominator of each given fraction:

7/8 = 0.875

5/6 = 0.833

We can easily see that 0.875 > 0.833.

Therefore, 7/8 is larger than 5/6.

4 0

2 years ago

Read 2 more answers

In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba

amm1812

Answer:

<em>X ball bearings will be made in 1 hour and 20 minutes</em>

Step-by-step explanation:

<u>Proportions </u>

The proportions give us an important tool to easily solve common problems of any type. We know that:

Company ABC can make X ball bearings in 3 hours.

Company DEF can make X ball bearings in 4 hours.

Company GHI can make X ball bearings in 6 hours.

In one hour, each company can make

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

Working together, they can make

$\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}$

ball bearings. Operating

$\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}$

If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need

$\displaystyle \frac{4}{3}$ hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes

X ball bearings will be made in 1 hour and 20 minutes

8 0

2 years ago