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3 years ago

What is the axis of symmetry for f(x)=- 3x^ 2 +18x-7? X=-3 X=3 X=-6 X=6

2 answers:

7 0

This is a quadratic equation with a squared "x" variable, and therefore a vertical parabolic graph, and thus, the axis of symmetry will be from the vertex's x-coordinate, hmmmm what is its vertex coordiinate anyway?

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
f(x)=\stackrel{\stackrel{a}{\downarrow }}{-3}x^2\stackrel{\stackrel{b}{\downarrow }}{+18}x\stackrel{\stackrel{c}{\downarrow }}{-7}
\qquad \qquad 
\left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left( -\cfrac{18}{2(-3)}~~,~~\qquad \right)\implies \left( +\cfrac{18}{6}~~,~~\qquad \right)\implies (3~,\quad )
\\\\\\
\stackrel{\textit{axis of symmetry}}{x=3}$

Step2247 [10]3 years ago

6 0

The axis of symmetry is a vertical line through the vertex.

The vertex is at

$x=-b/2a=-18/(2(-3))=3$

Second choice.

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Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.

kow [346]

The equation which is results from taking the square root of both sides of the provided equation is,

$(x+9)=\pm5\\$

<h3>What is the square root?</h3>

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is <em>a. </em>Then this number in the form of square root can be written as,

$a=\sqrt{a}\times \sqrt{a}$

The given algebraic equation in the problem is,

$(x+ 9)^2 = 25$

Take the square root, in both sides,

$\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}$

Cancel out the square root with the square of the number as,

$(x+9)=\pm5\\$

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

$(x+9)=\pm5\\$

Learn more about the square root of number here;

brainly.com/question/664132

7 0

2 years ago

Which of the honey jars is the best value for money? Please help ten points :)

KatRina [158]

Answer:

The large jar is best value for money.

Step-by-step explanation:

For large jar you get 540/4.10 = 131.7g of honey per penny.

For small jar you get 360/2.81 = 128.1g of honey per penny

8 0

3 years ago

There were 18 students running in a race. How many different arrangements of first, second, and third place are possible?

swat32

Answer:

There are 18 choices for first place, 17 for second, and 16 for third.

Therefore, there are 18 x 17 x 16=4896

So there are 4,896 ways possible

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

8 0

2 years ago

There are a total of 64 students in a drama club and a yearbook club. The drama club has 14 more students than the yearbook club

yawa3891 [41]

Answer:

39 students in the drama club, 25 in the yearbook club.

Explanation:

X=number of students in the drama club
Y=number of students in the yearbook club

X+Y=64
X−14=y
Subtract the equations
X−X+Y+14=64−Y
Y+14=64−Y
Subtract 14, add Y
Y+Y+14−14=64−14−Y+Y
2Y=50
Divide by 2
Y=25
X+25=64
Subract 25
X=64−25
X=39

8 0

3 years ago

1. A computer technician charges a flat fee of $35 to repair a computer in addition to an hourly rate of $22.50. The technician

Misha Larkins [42]

1. Multiply the hourly rate by the number of hours worked ( 22.5h) add that to the flat fee ( 22.5h +35) and that needs to be equal to or greater than what he expects to make:

A. 22.5h + 35 ≥ 215 , with a solution of h ≥ 8

2. Same method as number 1:

C. $3 + 1.80m ≤ $25

3. Each fraction would need 1 negative sign and have the same numerator and denominator, so the answer would be B.6/-7

8 0

3 years ago