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3 years ago

-5x+7y=11 -5x+3y=19 Elimination

1 answer:

6 0

$\left\{\begin{array}{ccc}-5x+7y=11&\text{change the signs}\\-5x+3y=19\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-7y=-11\\-5x+3y=19\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-4y=8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad \boxed{y=-2}\\\\\text{Upt the value of y to the second equation:}\\\\-5x+3(-2)=19\\-5x-6=19\qquad\text{add 6 to both sides}\\-5x=25\qquad\text{divide both sides by (-5)}\\\boxed{x=-5}\\\\Answer:\ \boxed{x=-5\ and\ y=-2\to(-5,\ -2)}$

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Solve the following quadratic equation 9m2 +9= 11

jeka94

Answer: m=

√2 or m=

−1

√2

Step-by-step explanation:

4 0

3 years ago

Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

6 0

3 years ago

Which ordered pairs (x,y) are solutions to the linear equation 2x+3y=6

Nuetrik [128]

Answer:

I think it is 0,2

Step-by-step explanation:

Because you need to substitute the ordered pairs into the linear equation:

so,

2(0)+3(2) = 6

6=6

The two side, so equation are identical, so the correct answer is (0,2).

I hope this helps!

8 0

3 years ago

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The number math problems Michel can solve varies directly with the amount of time he spends solving math problems. Michel can so

Mama L [17]

Answer:

40 problems

Step-by-step explanation:

8 problems : 5 mins

? : 25 mins

8 x 5 = 40

40 problems

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3 years ago

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8,9,8,11 Mean: Median: Mode: Range

Finger [1]

Mean: add all numbers together and divide by the amount of numbers there are.
8 + 9 + 8 + 11 = 36
36/4 = 9
mean = 9

Median: Find the middle number. Since in this case it has an even amount of numbers, add the two middle numbers and divide by 2
8 + 9 = 15
15/2 = 7.5
median = 7.5

Mode: The number that shows up the most
Mode = 8

Range: Subtract the smallest number from the largest number
11 - 8 = 3
Range = 3

hope this helps

7 0

3 years ago

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