All categories

4 years ago

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = –2x^2 +6x – 1.

1 answer:

7 0

Hello :
<span>y = –2x² +6x – 1.
y = -2(x²-3x)-1
y= -2( x² -2(3/2)x +(3/2)² - </span>(3/2)²)-1
y = -2((x-3/2)² -9/4))-1
y = -2(x-3/2)² +7/2
the <span>axis of symmetry is the line : x = 3/2 and vertex : (3/2 , 7/2 ) </span>

You might be interested in

A pentigonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed ?

Sholpan [36]

Answer:

In a right pentagonal prism, the bases are pentagons and the lateral faces are rectangles. If we take a cross-section perpendicular to the base, this same cross-section will be parallel to the lateral faces. This means it will be the same shape as the lateral faces, which is a rectangle.

Step-by-step explanation:

5 0

3 years ago

Which one of these is an linear function , stuck between the two ?

NeTakaya

Answer:

Step-by-step explanation:

B would be classified as an absolute value function.

Even though C looks like it is just a horizontal line, it is continuous in all directions and does not curve or slant like letter B. Letter B would also have a different slope.

Remember that linear functions are also not vertical lines.

7 0

4 years ago

Yep sorry again this math is hard

kramer

Answer:

Step-by-step explanation:

Firstly, you can focus on the scientific notation and calculate which one is bigger. The left side is $10^3$ whereas the right side is $10^4$ . This shows that even if the number before this was bigger, the larger exponent of these two are the bigger number.

$10^3 = 1000\\10^4 = 10000$

Meaning the correct sign would be the smaller than sign (<) as the right side is bigger than the left.

Hope this helps!

8 0

2 years ago

sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of t

Fiesta28 [93]

Answer:

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

The formula of the volume of a sphere is given by

$\frac{4}{3}\pi r^3$ , where r is the radius of the sphere.

to find the volume of the sphere, we must find $r^3$

We know that the formula of a cylinder of height h and radius r is given by

$\pi r^2h$

So $54 = \pi r^2 h$

We know that the sphere and the cylinder have the same height. Recall that the height of the sphere of radius r, is the diameter of a circle that passes through the heighest and lowest points of the sphere. Then, h=2r. This means that

$54 = 2\pi r^3$

From here, we know that $\pi r^3 = \frac{54}{2}$ .

So the volume of the sphere is $\frac{4}{3}\frac{54}{2} = \frac{2}{3}\cdot54$ .

So Amie should have multiplied 54 by 2/3.

4 0

4 years ago

Read 2 more answers

Please help, it's for a geometry quiz, show all work please, question in the image attached

aliya0001 [1]

Answer:

m<ABC=94°

m<BCD=25°

m<ACB=43°

Step-by-step explanation:

To find <mBCD

m<ABD=133°, so m<CBD=133° too.

A triangle is equal to 180°.

22°+133°=155°

80°-155°=25°

To find <mACB

You first need to know triangle ACD measurements.

m<ADC=44° (22°+22°)

Then you take the two 25 and add them.

25°+25°=50°

50°+44°=94°

180°-94°=86°

86°÷2=43°

To find m<ABC

43°+43°=86°

180°-86°=94°

4 0

3 years ago