In this problem, the x intercept is 3.5 because the line crosses through the x axis at the point (3.5,0)
Answer:

Step-by-step explanation:
We can use some logarithmic rules to solve this easily.
<em>Note: Ln means
</em>
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Now, lets start with the equation:

Writing left side with logarithmic base e, we have:

We can now use the property shown below to make this into exponential form:

So, we write:

We recognize another property of exponentials:

So, we write:

Also, another property of natural logarithms is:

Now, we simplify:

This is the answer.
Answer:
304
Step-by-step explanation:
2100÷7=300
300+interest=300+4
=304
Answer: 89
Step-by-step explanation:
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=
If a is positive, the minimum value of the function is f (
).
Substitute in the values of aa and b.
x=−
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.