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Phantasy [73]
3 years ago
9

F (x)=x^2-14+44 find the x value of the turning point

Mathematics
1 answer:
aniked [119]3 years ago
5 0
So... assuming f(x)=x^2-14x+44 then

 f(x)=x^2-14x+44\implies 
\begin{array}{lccclll}
\boxed{1}x^2&\boxed{-14}x&\boxed{+44}\\
\uparrow &\uparrow &\uparrow\\
a&b&c
\end{array}
\\ \quad \\
\textit{vertex of a parabola}\\ \quad \\
y = {{ \boxed{a}}}x^2{{ \boxed{+b}}}x{{ \boxed{+c}}}\\ \quad \\

\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
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Two smoothies and an ice cream cone cost $7.50. Three smoothies and two ice cream cones cost $12. Calculate the cost of a smooth
anygoal [31]

Answer:

Smoothie = 3

Ice cream = 1.5

Step-by-step explanation:

2s + i = 7.5

3s + 2i = 12

subtract the equations

(3s + 2i) - (2s + i) = s + i

s + i = 4.5

2s + i = 7.5,  so s must equal 3 (7.5 - 4.5)

If s = 3, then i is 1.5 (4.5 - 3.5)

To check, plug 3 and 1.5 into s and i.

2(3) + 1.5 = 7.5

6 + 1.5 = 7.5

7.5 = 7.5

3(3) + 2(1.5) = 12

9 + 3 = 12

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5 0
3 years ago
Which of the following lists has a mode of 213? / 111, 108, 213, 198, 205/ /212, 215, 213, 211, 220/ /213, 278, 108, 213, 157/ /
Fed [463]
The mode is the most frequent one
The answer is 213, 278 , 108, 213, 157
4 0
2 years ago
WILL GIVE BRAINLIEST What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b m
Minchanka [31]

Answer: B

Negative a squared b and 5 a squared b

Step-by-step explanation:

Given that:

Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,

- a^2b + 6ab - 8 + 5a^b - 6a - b

Collecting the like term by rearranging the expression

5a^2b - a^2b + 6ab - 6a - b

The like terms in the expression above are

5a^2b - a^2b.

The correct option is B:

Negative a squared b and 5 a squared b or (-a^2b and 5a^b)

4 0
3 years ago
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Marcus needs to buy some cabin. At the nearest store, three bags of cat food cost $16.50. How much would Marco spend on five bag
Bumek [7]

Answer:

$82.5

Step-by-step explanation:

$16.50 * 5 = $82.5

6 0
3 years ago
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A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil
Zigmanuir [339]

Answer:

See below in bold.

Step-by-step explanation:

You work in fractions of the city streets done per hour:

1/200 + 1/400 = 1 /x  where x is the number of hours taken by 2 teams.

Multiply through by the LCM 400x:

2x + x = 400

3x = 400

x =  133.33 hours.

As there are 168 hours in a week they will have enough time.

6 0
3 years ago
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