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Alex
3 years ago
5

Which is equivalent to the expression 8x(3x+7) A. 24x+15 B. 24x shift6 2+56 C.24x shift6x +56x D. 24x shift6 +15x

Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0

Answer:

8x(3x + 7) = 24x^2 + 56x

Step-by-step explanation:

Given

8x(3x + 7)

Required

An equivalent expression

We have:

8x(3x + 7)

Apply distributive property

8x(3x + 7) = 8x *3x + 8x * 7

8x(3x + 7) = 24x^2 + 56x

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Let f(x)= [x/3] (where f(x) is the ceiling function). We learned that the floor and the ceiling functions are NOT invertible, bu
meriva

(a) We have ⌊<em>x</em>⌋ = 5 if 5 ≤ <em>x</em> < 6, and similarly ⌊<em>x</em>/3⌋ = 5 if

5 ≤ <em>x</em>/3 < 6   ==>   15 ≤ <em>x</em> < 18

(b) ⌊<em>x</em>⌋ = -2 if -2 ≤ <em>x</em> < -1, so ⌊<em>x</em>/3⌋ = -2 if

-2 ≤ <em>x</em>/3 < -1   ==>   -6 ≤ <em>x</em> < -3

In general, ⌊<em>x</em>⌋ = <em>n</em> if <em>n</em> ≤ <em>x</em> < <em>n</em> + 1, where <em>n</em> is any integer.

I do not understand what is being asked in (c) and (d), so you'll have to clarify...

8 0
3 years ago
Fill in the missing fractions in the blanks. (You don't need to simplify.) 50.891 = 50 + 8/10 + Source 51-5 USM2 THAN YO UNA CA
irina1246 [14]

Answer:

Sorry no idea

Step-by-step explanation:

6 0
3 years ago
If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]

The inverse of the matrix is

\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]

So, the Inverse Transformation is given by

T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

So, no option is correct. And the answer is

T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0
2 years ago
The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, poin
Mashutka [201]

Answer:

<h2>The radius is 4 units long.</h2>

Step-by-step explanation:

The given equation is

(x-0.5)^{2} +(y-3.5)^{2} =16

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

r^{2} = 16\\r=\sqrt{16}\\ r=4

Therefore, the radius is 4 units long.

3 0
3 years ago
Which model represents a fraction greater than 3/5? ​
Olin [163]

Answer:

The last one is your answer :))

Step-by-step explanation:

8 0
3 years ago
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