Solve the system of equations
{y= 15x+9
{y= 1/2x–20

What is the solution to the system?

oe which question are you figure it out

Number of weeds is represented by the function,

[tex]W(d)=1500(0.75)^d[/tex]

[tex]W(d)=1500(1-0.25)^d[/tex] -------(1)

Here, [tex]d=[/tex] Number of days since application

Function representing the exponential decay is,

[tex]A(t)=A(1-r)^t[/tex] --------(2)

[tex]A=[/tex] Initial value

[tex]r=[/tex] Percentage decay

[tex]t=[/tex] duration

By comparing both the functions (1) and (2),

[tex]r=[/tex] 0.25 ≈ [tex]\frac{25}{100}[/tex]

Or [tex]r=[/tex] 25%

Therefore, population of weeds will decrease 25% each day.

Learn more about exponential decay,

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Answer:

A) 5

Step-by-step explanation:

51+48+15x+6=180

105+15x=180

15x=75

x=5

Answer:

B

Step-by-step explanation:

The decimal number 0.00897 written in scientific notation is 8.97 ×10^3 and it has significant figures

Answer:

8.97 * 10⁻³

Step-by-step explanation:

0.00897 = [tex]\frac{8.97}{1000}=8.97 * 10^{-3}[/tex]

Place the decimal point after the first nonzero number.

Write the power of 10,

(i) If we move the decimal to the right, the power of 10 decrease by number of moves.

(ii) If we move the decimal to the left, the power of 10 increase by the number of moves

Answer:

shift of 6 units left

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

f(x) = 3 | x + 6 | + 9

Represents a horizontal shift of the parent function 6 units left

Answer:

Phương trình lượng giác cơ bản: lý thuyết, cách giải, bài tập

2. Phương trình cos x = cos α, cos x = a.

3. Phương trình tan x = tan α, tan x = a.

4. Phương trình cot x = cot α, cot x = a. ...

5. Phương trình bậc nhất đối với một hàm số lượng giác. ...

6. Một số điều cần chú ý:

Step-by-step explanation:

ℎ = -4, -3×(-4)+2 = 12+2 = 14

ℎ = -2, -3×(-2)+2 = 6+2 = 8

ℎ = 0, -3×0+2 = -3+2 = 2

ℎ = 3, -3×3+2 = -9+2 = -7

ℎ = 5, -3×5+2 = -15+2 = -13

Answer:

y=113505(1+0.012)^(x)

y=120481. Answered by Gauthmath

Compute the quotient and remainder,

[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x+k} \\\\ = 2x^2 - 3x - (8+2k) + \dfrac{(21+7k)x+(6+8k+2k^2)}{x^2+2x+k}[/tex]

The remainder upon dividing [tex]2x^4+x^3-14x^2+5x+6[/tex] by [tex]x^2+2x+k[/tex] should leave no remainder, which means

[tex]21+7k = 0 \implies 21 = -7k \implies k=-3[/tex]

and

[tex]6+8k+2k^2 = 0 \implies 2(k+3)(k+1)=0 \implies k=-3\text{ or }k=-1[/tex]

Only k = -3 makes both remainder terms vanish.

Then the previous result reduces to

[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x-3} = 2x^2 - 3x - 2[/tex]

so that

[tex]2x^4+x^3-14x^2+5x+6 = (x^2+2x-3) (2x^2 - 3x - 2) \\\\ 2x^4+x^3-14x^2+5x+6 = (x+3)(x-1)(2x + 1)(x-2)[/tex]

and so the zeroes of the quartic polynomial are x = -3, x = 1, x = -1/2, and x = 2.

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

Answer:

here's the answer to your question

Answer:

3(13x-5)

Step-by-step explanation:

first step open your bracket,u have

=4x²+20x-3x-15-4x²+22x then collect like terms

=4x²-4x²+20x-3x+22x-15

=0x²+39x-15

=39x-15

further simplifying u have:

=3(13x-5)

Answer:  (-1, -2)

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

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

Answer:

D. (1, 12)

Step-by-step explanation:

Plug the number into the equation and solve it from there

f(x)=3×4^1

f(x)=3×4

f(x)=12

Answer:

These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly

Step-by-step explanation:

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68

Answer:

4/3 inches, or 1.33333 inches

Step-by-step explanation:

In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*

* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same

Answer:

218

Step-by-step explanation:  

ATQ,

22%of total books = 48

Let the total no. of books in library be x.

22/100x=48

x=4800/22

X=218(approximately)

Answer:

1/5

Step-by-step explanation:

(f/g)(x) = f(x)/g(x) = sqrt(2x)/sqrt(50x) = 1/5

= 57 yards.

Step-by-step explanation:

95 yards is the diagonal of the field

76 yards is the length

Find the width.

This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.

[tex]{b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {95}^{2} - {76}^{2} \\ {b}^{2} = 9025 - 5776 \\ \sqrt{ {b}^{2} } = \sqrt{3249} \\ b = 57yards[/tex]

To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.

Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.

Assume the shape of the black material is a rectangle.

The area will be calculated as:

[tex]Area = Length * Width[/tex]

Take for instance;

[tex]Length = 4yd;\ Width = 5yd[/tex]

[tex]Area = 4yd * 5yd[/tex]

[tex]Area = 20yd^2[/tex]

Assume the shape of the black material is a square.

The area will be calculated as:

[tex]Area =Length^2[/tex]

Take for instance;

[tex]Length = 4yd[/tex]

[tex]Area = (4yd)^2[/tex]

[tex]Area = 16yd^2[/tex]

Assume the shape of the black material is a triangle

The area will be calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

Take for instance;

[tex]Base = 4yd;\ Height = 5yd[/tex]

[tex]Area = 0.5 * 4yd * 5yd[/tex]

[tex]Area =10yd^2[/tex]

So, in general.

You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.

Read more about areas at:

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Answer:

0.0347 = constant of proportionality

[tex]1 * e^{0.0347t} = 15000[/tex]

Step-by-step explanation:

Given

[tex]1*e^{0.0347t}[/tex]

Solving (a): what does 0.0347 represent?

An exponential model is represented as:

[tex]f(t) = a * e^{kt}[/tex]

Where:

[tex]k \to[/tex] constant of proportionality

So, by comparison:

[tex]k = 0.0347[/tex]

Hence:

[tex]0.0347 \to[/tex] constant of proportionality

Solving (b): Formula to calculate when balance equals 15000

To do this, we simply equate the formula to 15000.

So, we have:

[tex]1 * e^{0.0347t} = 15000[/tex]

Step-by-step explanation:

3(6+b)+2b+1

18+3b+2b+1

5b+19

Answer:

OPTION A

I CHOSE OPTION A AS THE ANSWER BECAUSE OPTI0N D CANNOT BE TRUE ACCORDING TO THE QUESTION AND OPTION B AND C ARENT TRUE BECAUSE IT WAS MENTIONED THAT AT 3 HOURS THE COST WOULD BE 140 $ BUT IN OPTION B IT SHOWS THAT THEY ALREADY ACHIEVED 200$ BEFORE IT EVEN BECAME 3 HOURS AND IT ISNT OPTION C BECAUSE IT  CROSSED 150$ WHILE IT WAS 3 HOURS SO MOST LIKELY THE ANSWER IS TO BE OPTION A.

HOPE THIS HELPS YOU....

Answer:

125

Step-by-step explanation:

360-70-60-65-40

= 125

Answered by GAUTHMATH

Answer:

y = 1/4 x +4

Step-by-step explanation:

y = -4x+9

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is -4

Lines that are perpendicular have slopes that are negative reciprocals

The slope of the perpendicular line is -1 /(-4)  = 1/4

The perpendicular line is

y = 1/4x+b

It goes through (4,5)

5 = 1/4(4) +b

5 = 1+b

b=4

y = 1/4 x +4

Answer:

left is a very good approximately .9 POSITIVE correlation

right is a very good approximately -.9 NEGATIVE correlation

Step-by-step explanation:

Answer:

70.875 [tex]km^{2}[/tex]

Step-by-step explanation:

Using the equation of area of trapezium

[tex]\frac{1}{2} * (a+b)h[/tex]

Put the value into the equation

[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]

Simplify the equation and you will get:

[tex]2.4*13.5=70.875 km^{2}[/tex]

So, the answer is 70.875km^2