All categories

3 years ago

Graph the equation

1 answer:

8 0

To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4

x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)

You might be interested in

What is the axis of symmetry of the function f(x)=-(x+9)(x-21)

Firlakuza [10]

Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]

Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189

The equation of the axis of symmetry is x = -b/(2a), which here equals

x = -(12)/[2(-1)], or x = 6

This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.

3 0

3 years ago

You purchase 26 parking hours that you can use the next month to park your food truck at the fair. Weekday hours park $2 per hou

ICE Princess25 [194]

Answer:

Number of week day hours purchased is 5

Step-by-step explanation:

Total number of Parking hours purchased = 26 parking hours

Parking cost on weekdays = $2 per hour

Parking costs on weekends = $10 per hour

Total amount spent on parking = $220.

To Find:

Number of week days purchased = ?

Solution:

Let

The number of week days purchased be x

The number of weekends purchased be y

We know that the total hours purchased is 26

So,

x+y = 26

y = 26-x------------------------------------------------------(1)

Now the total cost is 220

(Total number of weekdays X cost per weekday ) +(Total number of weekends + cost per weekend) =220

Substituting the values

=> $x\times 2 + y \times 10$ = 220

=> $x \times 2 + (26-x) \times 10 =220$

=>2x + 260 -10x =220

=>260 -8x = 220

=>260 -220 =8x

=>40 = 8x

=>x= $\frac{40}{8}$

x= 5-------------------------------------------(2)

Now substituting (2) in (1) we get

y= 26-5

y= 21

7 0

3 years ago

markup = original cost × percentage markup selling price = original cost + markup Nicole wants to buy a pair of jeans. The origi

miv72 [106K]

Price=42.50+(42.50×0.10)=46.75

3 0

3 years ago

Which of the following is the MOST accurate definition of standard deviation

zzz [600]

The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4

<h3>Definition of standard deviation</h3>

Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.

It is calculated as the square root of the given variance.

Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.

Learn more about standard deviation here:

brainly.com/question/475676

#SPJ1

6 0

2 years ago

Work out the area of a rectangle with base, b=28mm and perimeter, P=74mm.

zhannawk [14.2K]

Answer:

$28 \times 2 =5 6 \\ 74 - 56 = 18 \\ 18 \div 2 = 9 \\ width = 9 \\ area = 9 \times 28 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 252mm ^{2}$

3 0

3 years ago

Read 2 more answers