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3 years ago

How do I find the equation of the axis of symmetry and the coordinates of the vertex?

1 answer:

5 0

<span>For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a . Example 1: Find the axis of symmetry of the parabola shown. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.</span>

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Jordan wants to measure a length of fabric, but the only tape measure she has is damaged. The first number on her tape measure i

Alex

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2 years ago

Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. Later, she realized she did not have enough plants and bou

Anni [7]

Answer: the cost of each bush is $15

the cost of each flower is $2

Step-by-step explanation:

Let x represent the cost of each bush.

Let y represent the cost of each flower.

Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. This is expressed as

12x + 30y = 240- - - - - - - - - - -1

Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as

7x + 10y = 125- - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 12, it becomes

84x + 210y = 1680

84x + 120y = 1500

Subtracting, it becomes

90y = 180

y = 180/90

y = 2

Substituting y = 2 into equation 1, it becomes

12x + 30 × 2 = 240

12x + 60 = 240

12x = 240 - 60 = 180

x = 180/12

x = 15

8 0

3 years ago

F(x) = 9x + 3<br>g(x) = 3x + 1<br>Find:<br>(f/g)(x)

igomit [66]

Answer:

Step-by-step explanation:

f(x) = 9x + 3

g(x) = 3x + 1

To find (f/g)(x) divide f(x) by g(x)

That's

$(f/g)(x) = \frac{9x + 3}{3x + 1}$

Factorize f(x)

f(x) = 9x + 3 = 3(3x + 1)

So we have

$(f/g)(x) = \frac{3(3x + 1)}{3x + 1}$

Simplify

We have the final answer as

Hope this helps you

4 0

2 years ago

Quincy is building a tower out of blocks that are each 5/6 of an inch in height. He decides

adoni [48]

Answer:

90 inches tall

Step-by-step explanation:

5/6 of 12 is 10 so the blocks are 10 inches tall each 10x9 is 90

5 0

2 years ago

Graph the inequality in the coordinate plane:<br><br> x<-3

tensa zangetsu [6.8K]

Answer:

Graph of the inequality x< -3 as shown below in the figure.

Step-by-step explanation:

Given the inequality: x < -3

Graph of this inequality as shown below in the figure.

All the points that are lie in the shaded area satisfy the equation x < -3 or

In other words, we can say that x can take any value less than -3 .

x ≠ -3 or any number that is greater than -3.

Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.

Therefore, the dotted line is marked at x = -3

8 0

2 years ago