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3 years ago

F(x) = 2x2 + 12x + 1 Determine the vertex

Mathematics

1 answer:

Gnom [1K]3 years ago

5 0

Answer:

Step-by-step explanation:

The vertex would be the highest/lowest point so lets factor this first

when we factor we get

2(x^2+6x+8)

2(x+4) (x+2)

Using zero product property we find the 2 x values and x intercepts are

-4 and -2

the middle point of these points is -3

Substitute -3 for x and solve

2(-3+4) (-3+2)

2 * 1 * -1

2*-1

-2

(-3,-2) is the vertex

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Margo borrows $500, agreeing to pay it back with 3% annual interest after 14

Akimi4 [234]

Answer:

$\$17.50$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest to pay

P is the amount of money borrowed

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=\frac{14}{12}\ years\\ P=\$500\\r=3\%=3/100=0.03$

substitute in the formula above

$I=500(0.03)(\frac{14}{12})$

$I=\$17.50$

4 0

3 years ago

If John's car gets an average of 18 mpg and he fills his tank with 26.7 gallons of gas, how far can John travel on a tank of gas

Allisa [31]

480.6 miles

multiply 18 by 26.7 to get that answer

5 0

4 years ago

Read 2 more answers

Write a quadratic function in standard form with zeros 9 and -4

OverLord2011 [107]

$if\ x_1\ and\ x_2\ zeros,\ then\ quadratic\ function\:\\\\f(x)=a(x-x_1)(x-x_2)\\\\\\9;\ -4-zeros,\ then:\\\\f(x)=a(x-9)(x+4)=a(x^2+4x-9x-36)=a(x^2-5x-36)\\\\\\if\ a=1\ then\ f(x)=x^2-5x-36$

8 0

3 years ago

F(x) = –x^2– 10<br> Find f(-4)

Maksim231197 [3]

The answer would be -26
-(-4)^2-10
-4 squared is 16 times -1 is -16
-16-10
-26

6 0

3 years ago

I need help with this problem.<br> x3+4x

Yuki888 [10]

Answer: x=0 x=2i x=-2i

if your factoring: x(x^2+4)

Step-by-step explanation:

(if your solving for x)

$x^{3} +4x\\x(x^{2} +4)\\\\x=0\\\\x=\frac{-b}{2a}\frac{+}{-} \frac{\sqrt{b^2-4ac}}{2a} \\\\x=\frac{0}{2}\frac{+}{-} \frac{\sqrt{0^2-16}}{2} \\x={0}}\frac{+}{-} \frac{\sqrt{-16}}{2} \\$

$x={0}}\frac{+}{-} \frac{4i}{2} \\\\\\x=\frac{+}{-}2i$

6 0

2 years ago