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Zanzabum
3 years ago
14

Is the point (2,-3) a solution to

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer: Yes

Step-by-step explanation:

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The sum of Sasha’s and Natalie’s ages is 31. Twice Natalie’s age is 11 years more than Sasha’s age. Find each of their ages
ZanzabumX [31]

Answer:

Natalie's age is 14

Sasha's age is 17

Step-by-step explanation:

Let

Sasha's age be "s", and

Natalie's age be "n"

<u>Sum of Sasha and Natalie is 31:</u>

s + n = 31

<u>Twice Natalie is 11 more than Sasha:</u>

2n = s + 11

We ca solve this equation for s first:

s = 2n - 11

We put this into first equation and solve for n first:

s + n = 31

2n - 11 + n = 31

3n = 31 + 11

3n = 42

n = 42/3 = 14

Natalie's age is 14

Also, s = 2n - 11

s = 2(14) - 11

s = 28 - 11

s = 17

Sasha's age is 17

6 0
3 years ago
HELP PLEASE 14 POINTS
shusha [124]

Answer:

11 miles

Step-by-step explanation:

Divide it by 1760

5 0
3 years ago
Consider the system of linear equations and the matrix equations below.
gregori [183]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

4 0
3 years ago
Givenf(x)=6(8−x)+5.<br> (a) What does the notation f (−2) mean? (b) What is the value of f (−2) ?
Nonamiya [84]

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

5 0
3 years ago
How to solve proportions
Delicious77 [7]

Step-by-step explanation:

stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation

6 0
3 years ago
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