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NARA [144]
3 years ago
5

Math help on questions #4 and #5

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
<h3>Answer:</h3>

4. -3

5. 3

<h3>Step-by-step explanation:</h3>

4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.

___

5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...

... q(x) = |x -h| +k

If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)

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samanthas house is 72 feet wife. in a photograph the width of the house was 4 inches, and its height was 2.5 inches. what is the
Anna11 [10]
So to find the ratio of the actual house to the house in the picture you would divide 72/4 to get 18. this means that the ratio is 18:1. Now multiply 2.5 x18 to get the real life height of the house. 2.5x18=45.
So the house is 45 feet tall.
Please anyone correct me if I'm wrong but I think this is right.
7 0
3 years ago
Does anyone know how to do this?
kolezko [41]

Answer:

  • x = 1
  • y = -7

Step-by-step explanation:

The coefficients of x and y do not have any "nice" relations, so doing this by elimination is just "brute force" with no particular subtlety.

After multiplying by appropriate numbers, you want the coefficient of one of the variables in one equation to be the opposite of the coefficient of the same variable in the other equation. Here, we can get that by multiplying the first equation by 7 and the second equation by 2.

  7(2x +3y = -19)   ⇒   14x +21y = -133

  2(-7x +2y = -21)   ⇒   -14x +4y = -42

Adding these equations with opposite x-coefficients eliminates the x-terms. (That is how the "elimination" method gets its name.)

  (14x +21y) +(-14x +4y) = (-133) +(-42)

  25y = -175 . . . . . . . . simplify

  y = -7 . . . . . . . . . . . divide by 25

Substituting this value into the first equation gives ...

  2x +3(-7) = -19

  2x = 2 . . . . . . . . . add 21

  x = 1 . . . . . . . . . divide by 2

The solution is x = 1, y = -7.

_____

<em>Additional comment</em>

The multipliers used in this process are essentially the coefficients of one of the variables, with one of them negated. Here, we chose the x-coefficients, because negating one of them gives two positive multipliers. We judge it easier to do the arithmetic using positive numbers.

Had we chosen to use the y-coefficients (3 and 2) for our multipliers, we would probably multiply the first equation by 2, and the second equation by -3. That way, the remaining x-coefficient would be positive.

Planning ahead is helpful, but not essential. It can help to avoid errors and make the work easier to do.

3 0
3 years ago
Add: (3x2 - 5x + 6) + (9 - 8x - 4x2)
Stolb23 [73]
Add: (3x2 - 5x + 6) + (9 - 8x - 4x2)
The givens should be arranged first before we can start answering.
    3x2 - 5x + 6 plus
   -4x2 - 8x + 9
= -x2  - 13x +15
Therefore, the answer to the question is E) -x2  - 13x +15

4 0
3 years ago
Read 2 more answers
A regression-based forecast has yielded a coefficient of correlation (r) equal to 0.754. What is the coefficient of determinatio
Andreyy89

Answer:

0.568516

Step-by-step explanation:

To find the the Coefficient of determination you simply square r.

Just make sure you have the original r value and not the rounded value.

0.754^2 = 0.568516

and then depending on how many decimals you need to round to...

6 0
3 years ago
PLEASE HELP ASAP!!<br> A<br> B<br> C<br> D
Zepler [3.9K]

Answer:

A

Step-by-step explanation:

Just plug numbers and it will give you graph attributes

7 0
3 years ago
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