25 points

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

4 0

Mona’s mom has baked 40 cookies.

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12 + x to the power of 4 - 6 when x = 8

iren [92.7K]

value of $12+x^4-6$ at x=8 is $5002$ .

Step-by-step explanation:

here we need to evaluate 12 + x to the power of 4 - 6 when x = 8 or , $12+x^4-6$ where x=8 . Let's find out:

⇒ $12+x^4-6$

Putting x =8 :

⇒ $12+8^4-6$

Splitting 8 to power 4 into 8 to power 2 ( 2 times )

⇒ $12+8^2(8^2)-6$

⇒ $12+64(64)-6$

⇒ $12+4096-6$

⇒ $4096+6$

⇒ $5002$

Therefore , value of $12+x^4-6$ at x=8 is $5002$ .

8 0

3 years ago

Write the equation

Shkiper50 [21]

$a)\ the\ slope-intercept\ form:\ y=mx+b\\--------------------------\\m=\frac{2}{3}\Rightarrow y=\frac{2}{3}x+b\\\\the\ point\ (-3;\ 6)\Rightarrow \frac{2}{3}\times(-3)+b=6\\\\-2+b=6\ \ \ \ \ |add\ 2\ to\ both\ sides\\\\b=8\\\\\boxed{y=\frac{2}{3}x+8}$

$b)\ the\ two-points\ formula:y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\-----------------------------\\the\ points:\ (3;-1);\ (5;\ 7)\\\\y-(-1)=\frac{7-(-1)}{5-3}(x-3)\\\\y+1=\frac{7+1}{2}(x-3)\\\\y+1=\frac{8}{2}(x-3)\\\\y+1=4(x-3)\\\\y+1=4x-12\ \ \ \ \ |subtract\ 1\ from\ both\ sides\\\\\boxed{y=4x-13}$