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3 years ago

−8.5x + 0.36 = −3.04

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

4 0

X= 0.4

-8.5x=-3.4
x=0.4

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25 Points!! The graph represents the first three terms in an arithmetic sequence.

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Answer:

Step-by-step explanation:

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an=an-1+3

when x=15

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a15=43

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3 years ago

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3 years ago

Please help me with these two questions, 10 points for each so in total 20!!

saul85 [17]

Answer:

$\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}$

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 6) and (6, 10). Substitute:

$m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2$

$y-6=2(x-4)$ use distributive property

$y-6=2x-8$ add 6 to both sides

$y=2x-2$ subteact 2 from both sides

$-2x+y=-2$

Q4:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

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$y-6=3(x+2)$ use distributive property

$y-6=3x+6$ add 6 to both sides

$y=3x+12$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%7D%20%287%5Csqrt%5B3%5D%7B8y%5E2%7D-%5Csqrt%5B3%5D%7By%5E5%7D%20-4y%5Csqrt%

noname [10]

Answer:

$\huge\boxed{-y^2+2y}$

Step-by-step explanation:

$\sqrt[3]y\cdot\left(7\sqrt[3]{8y^2}-\sqrt[3]{y^5}-4y\sqrt[3]{27y^2}\right)\\\\=(\sqrt[3]y)(7\sqrt[3]{8y^2})-(\sqrt[3]y)(\sqrt[3]{y^5})-(\sqrt[3]y)(4y\sqrt[3]{27y^2})\\\\=7\sqrt[3]{(y)(8y^2)}}-\sqrt[3]{(y)(y^5)}-4y\sqrt[3]{(y)(27y^2)}\\\\=7\sqrt{8y^3}-\sqrt{y^6}-4\sqrt{27y^3}\\\\=7\sqrt[3]{2^3y^3}-\sqrt{y^{2\cdot3}}-4\sqrt{3^3y^3}\\\\=7\sqrt[3]{(2y)^3}-\sqrt{(y^2)^3}-4\sqrt{(3y)^3}\\\\=7\cdot2y-y^2-4\cdot3y\\\\=14y-y^2-12y\\\\=-y^2+2y$

Used:

$a(a+b)=ab+ac\\\\\sqrt[3]{a\cdot b}=\sqrt[3]a\cdot\sqrt[3]b\\\\\sqrt[3]{a^3}=a\\\\(a^n)^m=a^{n\cdot m}$

7 0

2 years ago