Solve using quadratic equation by factoring.

x^2-9x=-14

Answer:

greater by about 50 bacteria

hope this helps,

T

Step-by-step explanation:

Populations can be modeled by exponential functions and logarithm functions.

Kirk's graph is an exponential function, and it is represented as:

[tex]\mathbf{y = ab^x}[/tex]

From the graph (see attachment);

x = 0, when y =10.

So, we have:

[tex]\mathbf{10 = ab^0}[/tex]

[tex]\mathbf{10 = a\times 1}[/tex]

[tex]\mathbf{10 = a}[/tex]

Rewrite as:

[tex]\mathbf{a = 10 }[/tex]

Substitute [tex]\mathbf{a = 10 }[/tex] in [tex]\mathbf{y = ab^x}[/tex]

So, we have:

[tex]\mathbf{y = 10(b)^x}[/tex]

x = 20, when y =20.

[tex]\mathbf{20 = 10(b)^{20}}[/tex]

Divide both sides by 10

[tex]\mathbf{2 = b^{20}}[/tex]

Take 20th root of both sides

[tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex]

Substitute [tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex] in [tex]\mathbf{y = 10(b)^x}[/tex]

[tex]\mathbf{y = 10(2^{\frac{1}{20}})^x}[/tex]

[tex]\mathbf{y = (10)2^{\frac{x}{20}}}[/tex]

Represent as function

[tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

So, Kirk's function is: [tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

When x = 60, we have:

[tex]\mathbf{f(60) = (10)2^{\frac{60}{20}}}[/tex]

[tex]\mathbf{f(60) = (10)2^3}[/tex]

[tex]\mathbf{f(60) = (10)8}[/tex]

[tex]\mathbf{f(60) = 80}[/tex] ---- Kirk's model

For Jana's model, we have:

[tex]\mathbf{y = 12log(x + 1) + 10}[/tex]

Substitute 60 for x

[tex]\mathbf{y = 12log(60 + 1) + 10}[/tex]

[tex]\mathbf{y = 12log(61) + 10}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx 31}[/tex] --- Jana's model

Calculate the difference between both models

[tex]\mathbf{d = 80 - 31}[/tex]

[tex]\mathbf{d = 49}[/tex]

Approximate

[tex]\mathbf{d \approx 50}[/tex]

Hence, Kirk’s model predict the population will be greater than about 50 bacteria after 60 minutes than Jana’s model

Read more about population models at:

https://brainly.com/question/8993571

Step-by-step explanation:

a square plus b squad plus c

Answer:

Odd

Step-by-step explanation:

The answer is odd since even powers does the opposite.

Answer:

9ft is hiii

Step-by-step explanation:

Answer for first question:

tangent of P= 4/3

cosine of P= 3/5

sine of P= 4/5

Explanation:

tangent = opposite/ adjacent

cosine = adjacent/ hypotenuse

sine = opposite/ hypotenuse

2nd question: x=12

Explanation: When you have a 45-45-90 degree angle the hypotenuse will always be twice the base of the triangle and the longer leg will always be √2 times the base. Here you have the measurement of one of the longer sides- 6√2. Because we have this measurement, we know the base is going to be 6 and the hypotenuse, x, will be 12.

3rd question: cos y

Explanation: Let's give the triangle some measurements to make this easier.

The hypotenuse= 5.

The adjacent side of x= 3.

The opposite side of x= 4.

sine= opposite/ hypotenuse = sin x = 4/5

cosine= adjacent/ hypotenuse = cos x = 3/5

As you see, 3/5 and 4/5 are not equal, but when you try cos y and sin x. You will find that they are equal.

Answer:

36/2=18

18/2=9

9/3=3

3/3=1

List out the factors used: 2, 2, 3 & 3.

Pick one out of pairs of factors available: 2 & 3.

Multiply them: 2×3 = 6

6 is the square root of 36.

Step-by-step explanation:

hope it helps

please mark brainliest

Answer:

B. 1/2

Step-by-step explanation:

because 8y=4

solve for y which is,

8/8y = 4/8 ( devide by 8 to remove 8 from y to let y alone, so what you to on the right hand side you do on the left and vice versa, so devide 4/8 as well.)

y = 4/8

y = 1 /2 ( simplify )

Answer:

y=16x

Step-by-step explanation:

slope is 16, with no "b" so y=16x

Answer:

B

Step-by-step explanation:

give me brainliest 5 star and thank!

Answer:

4 & 2

Step-by-step explanation:

Median is the two middle numbers

Answer:

I think the answer should be 4

Answer:

uhm 0 degrees

Step-by-step explanation:

The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The inverse trigonometric expression is given below.

⇒ sin⁻¹(sin 17°)

We know that the value of sin⁻¹(sin θ) is θ.

Then the value of the inverse trigonometric expression will be

⇒ sin⁻¹(sin 17°)

⇒ 17°

Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

More about the inverse trigonometry link is given below.

https://brainly.com/question/20595059

#SPJ2

Answer:

31.6% decrease

Step-by-step explanation:

percent of change = difference between original and new values divided by the original value

n = % change

n = 0.72/2.28

n = .3157

n = 31.6%

Answer:

y = (x-4)²

Step-by-step explanation:

vertex (h , k)

h = 4   .... axis of symmetry

k = (6 + -6) / 2 = 0  .... midpoint of focus and directrix

equation of parabola: y = (x-4)²       y = (x-h)² + k

Answer:

12:6, or 12 pints of lemonade

Answer:

5,030?

Step-by-step explanation:

Answer:

For example, the phrase "3 more than an unknown number" becomes the mathematical expression "x + 3." Because the unknown number has no explicitly stated value, we label it with a variable x. To get a value three more than x, simply add 3 to it.

hope it helps ya mate. ~^~

Answer:

3 + x

Step-by-step explanation:

"More than" means addition. 3 more than x is saying 3 plus x. In an algebraic expression, this would look like:

3 + x

Answer:

[tex] {(x - y)}^{2} = (x - y)(x - y) \\ = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = ( {x}^{2} - 2xy + {y}^{2} )[/tex]

Answer: 18/91 or ≈ 0.2

Step-by-step explanation:

Bag one: 4 red + 3 blue = 7 total

Bag two: 7 green + 6 yellow = 13 total

probability of picking blue from first bag: 3/7

probability of picking yellow from second bag: 6/13

3/7*6/13 = 18/91 or about 0.2 chance

Answer:

x=74 degrees

Step-by-step explanation:

Answer:  Choice C

Point D is 8 units to the left of point G

=================================================

Explanation:

Refer to the diagram below. I've graphed both points on the same xy grid. We can draw a horizontal line through points D and G to form a number line of sorts. Count the number of spaces along this number line to go from G to D. You should count 8 spaces to the left.

Effectively, this is the same as drawing a number line and plotting -10 and -2 on this number line. We only worry about the x coordinates of the two points since the y coordinates are the same (both are y = -3). Note how -10 is eight units to the left of -2 on the number line.

[tex]1) \: 21 + 35.[/tex]

[tex]2) \: 5.[/tex]

Answer:

Step-by-step explanation:

1.

To expand the expression 7(3+5), multiply 7 into the numbers in the blanket. That means 7×3 + 7×5 = 21 + 35.

2.

It's the result of the expression on the right. It's 5 because 5(3-2) = 5×3 + 5×2 = 15 - 10.

Answer:

Step-by-step explanation:

1) the temperature rise, because 8.5 is C higher than 0 C

2) 8.5 - 0 = 8.5

So it rised by 8.5 degrees ( to know how many dgrees is is rised subtract the second number from the first number)

Answer:

2,1  4,2  6,3  8,4  10,5  12,6  14,7  16,8  18,9  20,10  etc.

Step-by-step explanation:

✍️Answer:

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

▭ ▭ ▭ ▭ ▭ ▭ ▭ ▭

Answer:

6x+2

-2x+1

=

4x+1

just find the area of each and subtract the non-shaded one from the shades area.