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motikmotik
3 years ago
9

Please answer correctly !!!!!! Will mark Brainliest answer !!!!!!!!!!!!!!

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

(x + 15)^2 - 10 = 0\\(x + 15)^2 = 10 \\(x + 15) = \pm\sqrt {10} \\x + 15 = \pm 3.16227766\\x + 15 = \pm 3.16\\x = \pm 3.16 - 15\\x = 3.16 - 15 \: or \: x = - 3.16 - 15\\x = - 11.84\: or \: x = - 18.16\\lesser\: x = \boxed{-18.16}\\\\greater\: x = \boxed{-11.84}\\\\

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Step-by-step explanation:


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Expand and simplify (6x-2)^2<br>​
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Whats the minimum and maximum value of f(x)=3(x+8)^2−10
gizmo_the_mogwai [7]

Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=-\frac{b}{2a} If a is positive, the minimum value of the function is f (-\frac{b}{2a}).

Substitute in the values of aa and b.

x=−\frac{48}{2(3)}

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

7 0
2 years ago
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