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3 years ago

[Help Asap] For each ordered pair, determine whether it is a solution to the system of equations.

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

Answer:

(-4,-4)

Step-by-step explanation:

6x - 7y = 4

6(-4) - 7(-4) = 4

-24 + 28 = 4

4 = 4 This is correct to the first equation.

Now let us try the second equation.

-5x + 3y = 8

-5(-4) + 3(-4) = 8

20 - 12 = 8

8 = 8 This is also correct to the second equation.

Hope this helps, thank you !!

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Write the equation of a line that passes through the points ( 2 , - 5 ) and ( 8 , - 2 )

kati45 [8]

Answer:

$y=\frac{1}{2}x-6$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (2,-5) and (8,-2)

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{-2-(-5)}{8-2}\\=\frac{-2+5}{8-2}\\=\frac{3}{6}\\=\frac{1}{2}$

Therefore, the slope of the line is $\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{1}{2}x+b$

2) Determine the y-intercept (b)

$y=\frac{1}{2}x+b$

Plug in one of the given points and solve for b

$-5=\frac{1}{2}(2)+b\\-5=1+b$

Subtract 1 from both sides to isolate b

$-5-1=1+b-1\\-6=b$

Therefore, the y-intercept of the line is -6. Plug this back into $y=\frac{1}{2}x+b$ :

$y=\frac{1}{2}x+(-6)\\y=\frac{1}{2}x-6$

I hope this helps!

6 0

3 years ago

Select the correct answer. Evaluate the following expression when x = -4 and y = 4. x6-x/4y

Pachacha [2.7K]

Answer:

${ \tt{ {x}^{6} - \frac{x}{4y} }} \\ = { \tt{ {( - 4)}^{6} - \frac{ - 4}{4(4)} }} \\ \\ { \tt{ = 4096 + 4}} \\ \\ = 4100$

6 0

3 years ago

Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.

gregori [183]

Answer:

the answer is 6.24

Step-by-step explanation:

12 x 0.52 = 6.24

8 0

3 years ago

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In track last week, the boys ran sixteen laps. The girls ran four more laps. Each lap is a quarter of a mile. How many miles did

vesna_86 [32]

Let's plug in some numberz!! And turn words into numberz. Let x represent laps. Let y represent total of laps. Boys ran sixteen laps!! Girls ran four more laps than boys. Boys ran 16, so what's 16+4? Correct, it's 20!! Our equation is 0.25x = y. Plug it in!! What's 0.25 x 20? Nailed it. It's 5!! Hope this helped!

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3 years ago

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Please HELP For the function,f(x)=-2x^2, find f(-3)

Amanda [17]

Answer:

-18

Step-by-step explanation:

F(x)=-2x^2

f(-3) means substitute x with -3

= -2(-3)^2

= -18

Please rate brainliest

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4 years ago