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3 years ago

Which expression is equivalent to

Mathematics

2 answers:

Sindrei [870]3 years ago

8 0

Answer:

The first answer (3/2x - 5)

Step-by-step explanation:

You need to multiply 1/2 by 2 which gives you 1. then when you multiply 1/2 by 3, you can't make it a whole number, so you make it a fraction and it then becomes 3/2x. Lastly, you do 1/2 times -6 which gives you -3. The equation goes from 1/2(2+3x-6) to then 1+3/2x-3. Since 1 and 3 can be subtracted because they're both whole numbers, you do 1-6 which gives you -5. The answer then becomes 3/2x -5

Hope this helped

Natalka [10]3 years ago

4 0

Answer:

$\frac{3}{2} x$ - 2

Step-by-step explanation:

1/2 (2+ 3x -6)

1/2(3x-4)

3/2x - 2

You do the parentheses first because of PEDMAS. So 1 combined the 2 and the -6.

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mr. graves gave her class 12 minutes to read. carrie read 5 1/2 pages in the that time. at what rate,in pages per hour, did carr

GarryVolchara [31]

27.5 pages per an hour

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3 years ago

Read 2 more answers

An airplane is observed to be approaching the air point. It is at a distance of 12 km from the point of observation and makes an

antoniya [11.8K]

Answer:

The height is 14.3 km

Step-by-step explanation:

Given

$distance= 12km$

$\theta= 50$ --- angle of elevation

Required

Determine the height above the ground

The question is illustrated using the attached image.

To calculate the required height, we make use of:

$tan(\theta) = \frac{AB}{BC}$

Where AB represents the height and BC, the distance.

So:

$tan(50) = \frac{AB}{12}$

Make AB the subject

$AB = 12 * tan(50)$

$AB = 12 * 1.1918$

$AB = 14.3016$

$AB = 14.3km$ --- approximated

4 0

3 years ago

eric is 70 inches tall pablo is as half as tall as eric annette is 5.25 inches taller than pablo how tall is annette

Kazeer [188]

Answer:

$40.25$ inches

Step-by-step explanation:

Following what the problem mentions:

"eric is 70 inches tall"

$Eric=70in$

"pablo is as half as tall as eric"

$pablo=\frac{Eric}{2}$

$pablo=\frac{70in}{2}=35in$

and "annette is 5.25 inches taller than pablo"

$annete=pablo+5.25in$

$annette=35in+5.25in =40.45in$

Annette is 40.25 inches tall

7 0

3 years ago

Find the first, fourth, and eighth terms of the sequence. a(n)=-2 x 2^n-1

leonid [27]

Answer:

2, 16 and 256.

Step-by-step explanation:

Just substitute for n:-

first term ( when n = 1) = 2 * 2^(1-1)

= 2 * 1 = 2

4th term = 2 * 2^(4-1) = 16

8th term = 2* 2^(8-1) = 256

8 0

3 years ago

Type the correct answer in each box.If matrix C represents (A − B) + A, the value of the entry represented by c41 is and the cor

strojnjashka [21]

Given the matrices A and B:

$\begin{gathered} A=\begin{bmatrix}{-5} & {3} & {8} & {} \\ {3} & {6} & {-5} & {} \\ {5} & {-9} & {0} & {} \\ {7} & {3} & {4} & {}\end{bmatrix} \\ \\ B=\begin{bmatrix}{-7} & {-8} & {-5} & {} \\ {7} & {9} & {2} & {} \\ {2} & {5} & {-7} & {} \\ {2} & {8} & {-7} & {}\end{bmatrix} \end{gathered}$

We know that:

$C=(A-B)+A=2A-B$

Then, using the matrices A and B:

$\begin{gathered} C=2\cdot\begin{bmatrix}{-5} & {3} & {8} & {} \\ {3} & {6} & {-5} & {} \\ {5} & {-9} & {0} & {} \\ {7} & {3} & {4} & {}\end{bmatrix}-\begin{bmatrix}{-7} & {-8} & {-5} & {} \\ {7} & {9} & {2} & {} \\ {2} & {5} & {-7} & {} \\ {2} & {8} & {-7} & {}\end{bmatrix} \\ \\ C=\begin{bmatrix}{-10} & {6} & {16} & {} \\ 6 & {12} & {-10} & {} \\ 10 & {-18} & {0} & {} \\ 14 & 6 & 8 & {}\end{bmatrix}+\begin{bmatrix}{7} & {8} & {5} & {} \\ -{7} & -{9} & -{2} & {} \\ -{2} & {-5} & {7} & {} \\ {-2} & -{8} & {7} & {}\end{bmatrix} \\ \\ \therefore C=\begin{bmatrix}{-3} & 14 & 21 & {} \\ -1 & {3} & {-12} & {} \\ 8 & {-23} & 7 & {} \\ 12 & -2 & 15 & {}\end{bmatrix} \end{gathered}$

And the element C₄₁ (fourth row and first column) is:

$C_{41}=12$

Now, for the matrix (A + B) - A = B:

$B_{41}=2$

3 0

1 year ago