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3 years ago

What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)

Mathematics

1 answer:

miv72 [106K]3 years ago

8 0

9514 1404 393

Answer:

x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

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Can I get help on this please someone

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Let's break down the definitions.

Supplementary = degrees add up to 180

Vertical = share a common vertex

Complementary = degrees add up to 90

Adjacent = share a common side and vertex

Since the degrees add up to 90 and don't share a common side/vertex, the angles are complementary.

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3 years ago

Read 2 more answers

Ani was told to write the number four and eight hundredths. She wrote

JulsSmile [24]

Answer:

It would be 4.08, so Ani is wrong writing it as 4.8.

Step-by-step explanation:

So, with this, the number 4 is 4, a single-digit number. Anything below that has a decimal point before it. With the knowledge of there being 8 hundredths, first see this diagram explaining the terms for numbers after the decimal point:

0.1 --> 1 Tenth

0.01 --> 1 Hundredth

0.001 ---> 1 Thousandth

With this, we can see that it will be something of the likes of 4.01-4.09. Since there are 8 Hundredths, it would be 4.08, as 0.01 * 8 = 0.08.

Therefore, she is wrong because she wrote it as 4 and 8 tenths rather than 4 and 8 hundredths.

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3 years ago

Kingda ka in new jersey is the tallest and fastest roller coaster in the world. riders travel at an average speed of 61 feet per

trapecia [35]

Answer:

(a) 3118=61*t

(b) The amount of time the roller coaster is in motion is 51.11 seconds.

Step-by-step explanation:

Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:

$speed=\frac{distance}{time}$

Then the distance traveled can be expressed as:

distance=speed*time

(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:

3118=61*x

(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:

$\frac{3118}{61} =\frac{61*x}{61}$

51.11 seconds=x

The amount of time the roller coaster is in motion is 51.11 seconds.

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3 years ago

Three values on a number line are labeled F, G, and H . Which number line correctly shows the values of F, G, and H?

oksian1 [2.3K]

Answer:

Step-by-step explanation:

F must be on -4

H must be on 4 (because it is -f=-(-4)=-1•-4=4)

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3 years ago

A segment has endpoints at (-2,3) and (7,9), How long is the segment?

trasher [3.6K]

$l=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(7-(-2))^2+(9-3)^2}=\sqrt{9^2+6^2}\\=\sqrt{81+36}=\sqrt{117}=10.82 \ units$

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3 years ago

What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​

What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)