3 years ago

Find the equation of the axis of symmetry.equation of axis of symmetry:

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

9514 1404 393

Answer:

x = -4

Step-by-step explanation:

The axis of symmetry is the vertical line through the vertex. The vertex is the turning point, or minimum, of the function. It is (x, y) = (-4, 0). The x-coordinate there is -4, so the equation of the axis of symmetry is ...

x = -4

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Which of the following expressions is always equivalent to -2b + 4 + 4b - 7

spayn [35]

Answer:

c. 2b - 3

Step-by-step explanation:

Simplify the following:

-2 b + 4 + 4 b - 7

Grouping like terms, -2 b + 4 + 4 b - 7 = (4 b - 2 b) + (4 - 7):

(4 b - 2 b) + (4 - 7)

4 b - 2 b = 2 b:

2 b + (4 - 7)

4 - 7 = -3:

Answer: 2 b + -3

3 0

3 years ago

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The ratio of boys to girls in a class 4 : 5<br><br> A) What fraction of the class are boys

Travka [436]

Answer:

4/9

Step-by-step explanation:

Ratio of boys = 4

Ratio of girls = 5

1. When illustrating ratios in fraction, you add the ratios

4 + 5 = 9

2. Next you put the boys ratio over the total ratio

4/9

3. Sometimes it can be reduced to a lower form eg. 5/10 can be reduced to

1/2.

3 0

3 years ago

Let f(x)=−32x and g(x)=(12)x−1 . Graph the functions on the same coordinate plane. What are the solutions to the equation f

Grace [21]

Refer to the attachment for the graph of the two functions in Desmos. To solve for the solution, we just equate the two functions and solve for x:

$-32x=12x-1$
$-44x=-1$
$x= \frac{1}{44}$

For the y value we just substitute x in any of the function:
$f( \frac{1}{44})=-32( \frac{1}{44})=- \frac{8}{11}$

ANSWER: The solution to the equation f(x)=g(x) is ( $\frac{1}{44}$ , $\frac{-8}{11}$ ).