For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

Answer:

The expression for the number of bacteria after t hours is [tex]P(t) = 50e^{0.2922t}[/tex]

Step-by-step explanation:

When introduced into a nutrient broth, the culture grows at a rate proportional to its size.

This means that the size of the population, after t hours, is modeled by the following differential equation:

[tex]\frac{dP}{dt} = rP[/tex]

In which R is the growth rate.

The solution of this differential equation is:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population.

A culture of the bacterium Salmonella enteritidis initially contains 50 cells.

This means that [tex]P(0) = 50[/tex], and so:

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(t) = 50e^{rt}[/tex]

After 1.5 hours, the population has increased to 775.

This means that [tex]P(1.5) = 775[/tex]. We use this to find r. So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]500e^{1.5r} = 775[/tex]

[tex]e^{1.5r} = \frac{775}{500}[/tex]

[tex]\ln{e^{1.5r}} = \ln{\frac{775}{500}}[/tex]

[tex]1.5r = \ln{\frac{775}{500}}[/tex]

[tex]r = \frac{\ln{\frac{775}{500}}}{1.5}[/tex]

[tex]r = 0.2922[/tex]

The expression is:

[tex]P(t) = 50e^{rt}[/tex]

[tex]P(t) = 50e^{0.2922t}[/tex]

The expression for the number of bacteria after t hours is [tex]P(t) = 50e^{0.2922t}[/tex]

Answer:

$15

Step-by-step explanation:

Budget = $30

Spent = $13

--------------------------

30 - 15 = $15

Ahmad will spend $15 additional dollars.

Answer:

64

Step-by-step explanation:

A P E X

Answer: i think it would be 20

Step-by-step explanation:

if you do the problem it should show you

Answer11

Step-by-step explanation:

9514 1404 393

Answer:

  D.  y= 2x + 10

Step-by-step explanation:

Try x=3 in the equations and see which one works.

  A: 2·3 -10 = -6 ≠ 16

  B: 1/2(3) +10 = 11.5 ≠ 16

  C: 1/2(3) -10 = -8.5 ≠ 16

  D: 2(3) +10 = 16 . . . . . . this equation works

Answer:1689

Step-by-step explanation:

Delta Math

Answer:

Step-by-step explanation:

we have several angles that have the same vertex and so they are congruent

1) e = 35 degrees because the opp angle has this measure

2) d = 109 degrees for the reason above

3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)

f = 180 - (35 + 109)

f = 180 - 144 = 36 degrees

Answer:

Line A passes through (-3, 2) and (-23, 54)

slope of  line A will be

               [tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]

Equation of line A will be

             [tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]

Given line B is parallel to line A, So slope of A and B

                       [tex]m_{A} \cdot m_{B} = 1[/tex]

 slope of line B will be

                       [tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]

Also given line B passes (-8, 0), therefore the equation of line B

                  [tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]

Therefore,

             [tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]

Answer: Y=-5x+3

Step-by-step explanation:

first slope= 0 on the x axis so -2-3=-5

to get 3 you can do 4-1=3 or 7-4 or even 1-(-2)!

Correct answer: [tex]y = 3x -5[/tex]

You don't have to use the whole table in order to find equation. You can use just two points on the table to start.

In order to find the slope, the formula for that is: [tex]\frac{y_{2}-y_{1}}{x_{2} - x_{1}}[/tex]. So, we can start with points (1, -2) and (2, 1). Label (1, -2) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex]; label (2, 1) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug the numbers into the formula.

[tex]\frac{1-(-2)}{2 - 1}[/tex] → [tex]\frac{3}{1}[/tex] → [tex]3[/tex] is the slope.

To find the y-intercept, substitute (1, -2) into [tex]y = 3x + b[/tex].

[tex](-2) = 3(1) + b[/tex]

[tex]-2 = 3 + b[/tex]

[tex]-3[/tex]   [tex]-3[/tex]

________

[tex]b = -5[/tex] is the y-intercept.

Thus, the slope-intercept equation is [tex]y = 3x -5[/tex]. Hope this helps :) Let me know if you have any other questions related to this problem!

Answer:

7 1/4 years old I think

Step-by-step explanation:

Answer:

14 Feet

Step-by-step explanation:

Answer:

14 is the answer

140/10=14

hope this helps

have a good day  :)

Step-by-step explanation:

Answer:

c,d,e,f

Step-by-step explanation:

mark me brainliest

Select all values of x that make the inequality true: (x ≥ -1)

A. -4

B. -2

C. -1

D. 0

E. 1

F. 4

Answer:

C, D, E, F

Step-by-step explanation:

hope this helps! #HappyCheating

Answer:

x=30°

Step-by-step explanation:

3x-10=2x+20

3x-2x=20+10

x = 30°

just x, no y in the photo

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

Answer:

534

Step-by-step explanation:

Answer: Pretty sure the answer is 3.

Step-by-step explanation:

[tex]\frac{2(4+7)-7}{5}[/tex]

[tex]\frac{2(11)-7}{5}[/tex]

[tex]\frac{22-7}{5}[/tex]

[tex]\frac{15}{5}[/tex]

Answer:

the expression b/c=b/c is an example of a/an

Answer:

D. 96 inches.

Step-by-step explanation:

Radius of cylinder = 1/2 * 24 = 12 inches.

Radius of the cone = 1/2 * 12 = 6 inches.

Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h

So pi 12^2 * 8 = 1/3 pi * 6^2 * h

1152 pi = 12 pi h

h = 1152/12

h = 96 inches.

Pretty sure the answer is DFE

Answer:

? = 7x

Step-by-step explanation:

Lets simplify the equation first;

5x - 20 + ? = -20 + 12x

=> So now, we have to make the equation on the left equation congruent to the right equation:

It we already have -20 common on both sides, but we need to find out, what added by 5x gives us 12x,

=> So we can let the number we have to find out be y, and say:

5x + y = 12x

=> y = 12x - 5x

=> y = 7x

Therefore, ? = 7x

Hope this helps!

Answer:

[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]

Value of x & y when

equations are

is

x = 1.5

y = 8

9514 1404 393

Answer:

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

Answer:

1. 19.8 or 20 dollars

2. 91.6 or 90 dollars

3. 108.9 or 110 dollars

4. 8.98 or 9 dollars

5. 2.91 or 3 dollars

i can't see 6 but just divide the total cost by how many items

Step-by-step explanation:

Answer:

Data processing is a process of converting raw facts or data into a meaningful information. Data can be done manually using a pen and paper, mechanically using simple devices eg. typewritter or electronically using modern dat processing toolseg computers.

Step-by-step explanation:

Answer:

The answer is "28, 35, 52, 65"

Step-by-step explanation:

Calculating the x,y:

  [tex]\to x< y<65\\\\\to 65 \times 28 xy=13 \times 5xy \times 7 \times 2^2\\\\x=13 \\\\y=5 \times 7= 35\\\\[/tex]

When

or  

[tex]x=35\\\\y= 13 \times 2^2=13 \times 4 =52[/tex]

So, the final answer is "28, 35, 52, 65".