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2 years ago

Only find the vertex and axis of symmetry

Mathematics

1 answer:

lara [203]2 years ago

5 0

Answer:

vertex (5,2)

axis of symmetry: x=5

Step-by-step explanation:

vertex (h,k)

y = a(x - h)² + k

f(x)=(x-5)²+2 a = 1 h = 5 k = 2

vertex (5 , 2)

The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

x = 5

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you are charged $44.55 in total for a meal. Assuming that the local sales tax is 9.51%, what was the menu price of this item?

Mice21 [21]

Around like 40 bucks

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3 years ago

g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Commu

bixtya [17]

Answer:

They can either decrease the confidence level or increase the sample size, that is, survey more students.

Step-by-step explanation:

The width of a confidence interval is given by:

$M = z*\frac{\sigma}{\sqrt{n}}$

In which z is the critical value correponding to the confidence level(higher confidence level, higher z is), $\sigma$ is the standard deviation of the population and n is the size of the sample.

The students realize that this interval contains a large margin of error. What can they do to make a narrower interval?

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3 years ago

A dance club hires two different DJ’s to

zubka84 [21]

Answer:

The expression is 100x + 50y ≤ 800.

Step-by-step explanation:

The hip hop DJ charge for $100 per hour. Let x be number of hours of hip hop :

$hip \: hop = 100 \times x$

$hip \: hop = 100x$

For rap DJ, the charge is $50 per hour. Let y be the number of hours of rap :

$rap = 50 \times y$

$rap = 50y$

Given that both DJs spend a maximum of $800. So the final expression is :

$100x + 50y \leqslant 800$

5 0

3 years ago

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

Use the area of the rectangle to find the area of the triangle

Alborosie

Answer is D

if you want to get the area of a triangle you have to multiply the base times height and than divide by 2

A= 1/2 bh
A=1/2 (7x6)
A= 1/2(42)
A= 21

and for the area of the rectangle it’s 42 since there’s no dividing

A=bh
A=7x6
A=42

8 0

3 years ago