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Monica [59]
2 years ago
6

In need help in this

Mathematics
1 answer:
Lyrx [107]2 years ago
7 0

Answer:

Vertex form is

a(x - h) {}^{2}  + k = y

where (h,k) is the vertex

So our vertex form is

a(x - 3) {}^{2}  + 5 = y

It passes through (6,0) so we have

a(6 - 3) {}^{2}  + 5 = 0

Solve for a.

a(3) {}^{2}  + 5 = 0

a(9) =  - 5

a =  \frac{ - 5}{9}

So our equation is

-  \frac{5}{9} (x - 3) {}^{2}  + 5

You might be interested in
A board is 5 feet 4 inches long.it will but cut into 8 pieces. How many pieces can be cut?
olga2289 [7]

Answer:

2.5.

Step-by-step explanation:

Given equation:

(4 * 5) / 8

Multiply:

4 * 5 = 20.

Divide:

20 / 8 = 2.5

7 0
2 years ago
Laura and Brent paddled a canoe 6 miles upstream in four hours. The return trip took three hours. Find the rate at which Laura a
mixas84 [53]
Call the rate in still water vs;
upstream you have: vs-v=6/4
downstram you have: vs+v=6/3
where v is the rate with which the river flows.
rearranging:
vs-v=3/2
vs+v=2
from the second you have v=2-vs substitute into the first:
vs-2+vs=3/2
2vs=7/2
vs=7 mi/hr
5 0
3 years ago
Does anyone understand how to do this
Lerok [7]

Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

Now we need to find the 2 numbers.  We have 2 unknowns, x and y.  That means that we have to have 2 equations.  No more than 2 no less than 2.  Solve the first equation for y.  It doesn't matter which equation you pick and which variable you choose to solve for.  If you do the work correctly, you will get the correct answers either way.  Solving the first equation for y gives you:

y=\frac{120}{x}

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

x+\frac{120}{x}=-22

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether.  Do this by multiplying everything by x to get

x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

x^2+12x+10x+120=0

Use factoring by grouping now.  

(x^2+12x)+(10x+120)=0

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0.  Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

6 0
2 years ago
Lee watches TV for 2 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (10 cents)/(1 kilowa
vladimir1956 [14]

Answer:

$1.5

Step-by-step explanation:

Lets us first calculate energy consumed by TV in 30 days.

Energy consumed by TV in one hour : 250 watts.

TV operated 2 hours a day

so energy consumer by TV in a day = 250 * 2 watts = 500 watts hour

Energy consumed by TV in 30 day = energy consumer by TV in a day * 30

         = 500*30 watts = 15,000 watt-hour

Convert total energy consumed in kilo watt hour  

we know that one kilowatt hour = 1000 watt-hour

Thus, 15,000 watt-hour = 15,000/1000 kilowatt-hour = 15 kilowatt-hour

________________________________

cost of electricity = 10 cents per   kilowatt-hour

cost of electricity for 15 kilowatt-hour = 15* cost of electricity for one  kilowatt-hour( which is 10 cents)

=>15*10 = 150 cents

As $1 = 100 cents

hence 150 cents = $150/100 = $1.5 .

Thus, it cost $1.5 to to operate for a month of 30 days.

6 0
3 years ago
PLS help me with this question
Vinvika [58]

Answer:

80, 20 suvs in 45 vehicles, 45 is 1/4 of 180, so just multiply 20 times 4 and the answer you get is 80

4 0
3 years ago
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