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sladkih [1.3K]
3 years ago
11

Which of the following is a true statement about weight loss?

Mathematics
2 answers:
Burka [1]3 years ago
7 0
The right answer is (A) hope I helped
ololo11 [35]3 years ago
5 0
<span>In the question "Which of the following is a true statement about weight loss?" The correct answer is "To lose weight, a person must take in fewer calories than that person uses." (option a) The other statements are not true about weight loss. A pound of fat is about 3500 calories. If you eat 500 less calories than you burn every day, then after a week (7 * 500 = 3500) you will have lost a pound of fat.</span>
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Complete the equivalent equation for -7x-60 =x^2 +10x
alex41 [277]

Answer:

(x+12)(x+5)

Step-by-step explanation:

Formula use: a²+bx+c

  • Make one side equal to zero:

Original:

-7x-60 =x² +10x

New:

x² + 17x + 60

  • Multiply A with C

New:

(1)x x 60 = 60

  • Find factors of 60 that when added, equal to 17.

New:

10 × 6, 60 × 1, 20 × 3, <u>5 × 12</u>, 4 × 15

5 times 12 equal 60, but when added equal to 17.

  • Replace the 17 with 5 and 12

New:

x² + 5x + 12x + 60

  • Break them off into two equations

New:

x² + 5x  l  12x + 60

  • Divide each equation into it's simpilest form. Make sure the numbers in the ( ) are the same.

New:

x(x + 5)  l  +12(x+5)

  • Answer: (x+12)(x+5)

6 0
3 years ago
How to determine if the columns of a matrix are linearly independent?
astra-53 [7]
Let's consider an arbitrary 2x2 matrix as an example,

\mathbf A=\begin{bmatrix}\mathbf x&\mathbf y\end{bmatrix}=\begin{bmatrix}x_1&y_1\\x_2&y_2\end{bmatrix}

The columns of \mathbf A are linearly independent if and only if the column vectors \mathbf x,\mathbf y are linearly independent.

This is the case if the only way we can make a linear combination of \mathbf x,\mathbf y reduce to the zero vector is to multiply the vectors by 0; that is,

c_1\mathbf x+c_2\mathbf y=\mathbf 0

only by letting c_1=c_2=0.

A more concrete example: suppose

\mathbf A=\begin{bmatrix}1&2\\4&8\end{bmatrix}

Here, \mathbf x=\begin{bmatrix}1\\4\end{bmatrix} and \amthbf y=\begin{bmatrix}2\\8\end{bmatrix}. Notice that we can get the zero vector by taking c_1=-2 and c_2=1:

-2\begin{bmatrix}1\\4\end{bmatrix}+\begin{bmatrix}2\\8\end{bmatrix}=\begin{bmatrix}-2+2\\-8+8\end{bmatrix}=\mathbf 0

so the columns of \mathbf A are not linearly independent, or linearly dependent.
8 0
3 years ago
Identify each of the following as rational or irrational
Lera25 [3.4K]

√23-irrational
104.42-rational
√64-irrational
49.396-rational
10.97846727460-rational
8 0
2 years ago
Given a+b=7 and a-b=3, find the following<br><br> 3^a÷3^b
gulaghasi [49]

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

3 0
2 years ago
1. A farmer is enclosing a rectangular area for a pigpen. He wants the length of the pen to be 15 feet longer than the width. Th
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