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umka2103 [35]
3 years ago
5

Write the quadratic equation in standard form and then choose the value of “b” (2x - 1)(x + 5) =0

Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

We want to write the given function in the form ax^2 + bx + c = 0.

We foil the left side.

(2x - 1)(x + 5) =0

2x^2 + 10x - x - 5 = 0

2x^2 + 9x - 5 = 0

Can you see the value of "b"?

The b-value is the coefficient of x.

So, b = 9.

Done!

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Given that 3(x-c)=2x+5 where c is an integer, shoe that x cannot be a multiple of 6
olga nikolaevna [1]

Answer:

The explanation in the procedure

Step-by-step explanation:

we have

3(x-c)=2x+5

solve for c

3x-3c=2x+5

3c=3x-2x-5

3c=x-5

c=(x-5)/3

For x=6 -----> Find the value of c

c=(6-5)/3=1/3 ------> is not an integer

therefore

x cannot be a multiple of 6

7 0
3 years ago
The function f(x) = -(x-3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of
pashok25 [27]

Answer:

Maximum area = 9 sq units

Step-by-step explanation:

f(x)=-(x-3)^2+9

which represents the area . As it is a quadratic equation it represents the parabola . And the vertex of the parabola will maximum area of for some value of x

let f(x) = y

y=-(x-3)^2+9

(x-3)^2=-(y-9)

Comparing it with the standard equation of parabola

y=(x-h)^2+k

we get h=3 and y=9

where (h,k) is the vertex (3,9)

Hence the maximum area of the rectangle will be 9

6 0
3 years ago
The turkey must cook for 5 1/2 hours. You want to eat at 4:00. It will take 15 minutes to carve the turkey. At what time must th
Natalija [7]

Answer: The turkey must go into the oven at 10:25

Step-by-step explanation:

The turkey must cook for 5 1/2 hours. Changing from mixed fraction to improper fraction, 5 1/2 hours = 11/2 hours

It will take 15 minutes to carve the turkey. This means that it will take 15 minutes to prepare the turkey after it has been brought out of the oven.

Total amount of time before the turkey is ready is the sum of the amount of time used in carving the turkey and amount of time required. to cook it. It becomes

11/2 + 15 minutes

Converting 15 minutes to hours,

60 minutes = 1 hour

15 minutes = 15/60 = 1/4 hours.

Total amount of time before the turkey is ready = 11/2 + 1/4 = 23/4

= 5.75 hours

You want to eat at 4:00.

The turkey must go into the oven at 10:25

3 0
3 years ago
For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year.
zloy xaker [14]
This is exponential decay of the form:

f=ir^t, f=final value, i=initial value, r=rate, t=time in this case:

V(t)=408000((100-18)/100)^t

V(t)=408000(0.82)^t  so

Vo=408000 and b=0.82

....

V(8)=408000(0.82)^8

V(8)=$83400.95  to nearest cent
3 0
3 years ago
Round 3.582307 to the nearest thousandth
diamong [38]

Answer:

<u> 3.582</u>

Step-by-step explanation:

Find the number in the thousandth place  2  and look one place to the right for the rounding digit  3 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

3.582

Hope this helps!! Please consider marking brainliest!!

6 0
3 years ago
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