Write a system of linear inequalities so the points (1, 2) and (4, −3) are solutions of the the system, but the point (−2, 8) is not a solution to the system.

Answer:

is it a decimal

Step-by-step explanation:

Answer: It’s .7293 or 7293

Answer:

Infant mortality will reduce to 33% in 1.63 years

Step-by-step explanation:

Let the population be X

Population after 1 year

[tex]X - 7.3[/tex] % of [tex]X[/tex]

[tex]X -0.073 X\\0.927X[/tex]

As we know

[tex]P = P_0 * e^{rt}[/tex]

Substituting the given values we get -

[tex]\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}\\[/tex]

Taking log on both sides we get -

[tex]-0.20273 = -0.33 * t\\t = 1.627[/tex]

You can form a general expression for resultant reduction percentage after t years. Then equate it with 33% to get the value of t

The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

The rate of decrement for infant mortality rate is 7.3% per year.

Let the mortality rate in the start be [tex]r[/tex]

Then after 1 year it becomes

[tex]r - \dfrac{r}{100} \times 7.5 = r(1-\frac{7.5}{100}) = r_1 \text{\: (say)}[/tex]

After 1 more year, we will have:

[tex]r_1 -> r_1(1 - \frac{7.5}{100}) = r(1-\frac{7.5}{100})(1-\frac{7.5}{100}) = r(1-\frac{7.5}{100}) ^2 = r_2 \text{\: (say)}[/tex]

Thus, after t years, we will have:

[tex]r_t = r(1-\frac{7.5}{100})^t[/tex]

Simplifying it, we get:

[tex]r_t = r(1 - 0.075)^t = r(0.925)^t[/tex]

The percent of decrement can be calculated by:

[tex]p = \dfrac{\text{old rate - new rate}}{\text{old rate}} \times 100[/tex]

Thus,

the percent of decrement after t years will be

[tex]p = \dfrac{r - r_t}{r} \times 100 = \dfrac{r(1- (0.925)^t)}{r} \times 100 = 100(1-0.925^t)\\\\p = 100(1-0.925^t)[/tex]

We need the time after which the infant mortality rate would be reduced by 33%, thus, p = 33%

or

[tex]p = 33\\p = 100(1-0.925^t) = 33\\1 -0.925^t = \dfrac{33}{100}\\t = log_{0.925}(1 - \dfrac{33}{100}) \approx 3.3525[/tex]

Thus, after approx 3.35 years, the mortality rate would decrease by 33%

Thus,

The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.

Learn more about percentage here;

https://brainly.com/question/11549320

Answer:

[tex]Suppose,~a~line~segment~has~midpoints~(x_1,y_1)~and~(x_2,y_2). Then,\\Midpoint~of~the~line = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})\\Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\According~ to~ the ~question,\\(x_1,y_1) = A(2,3)\\(x_2,y_2) = B(5,7)\\Midpoint~of~AB = (\frac{2+5}{2},\frac{3+7}{2}) = (\frac{7}{2},5)\\AB = \sqrt{(5-2)^2+(7-3)^2} = \sqrt{3^2+4^2} = 5units[/tex]

Answer:

Answer:

37.38

Step-by-step explanation:

Remark

The ratio tells you how they are divided between night and day.

In other words night/ day = 19/32

That's not what you want.

What you want is night over total.

Total

Total = night + day = 19.1 + 32 = 51.1

Night Percent

Night% = Night * 100 / Total

Night% = 19.1 * 100 / 32

Night% = 37.38 %

Here, we are required to express ratio as a percentage

The percentage of pharmacy technician during the night is 37.25%

pharmacy technician during the day = 32

pharmacy technician during the night = 19

Total ratio = 32 + 19

= 51

percentage of pharmacy technician during the night = pharmacy technician during the night / Total ratio × 100

= [tex] \frac{19}{51} \times 100[/tex]

= 0.3725490196078 × 100

= 37.254901960784%

Approximately

37.25% to two decimal place

This means 37.25% of pharmacy technician work during the night

https://brainly.in/question/40112466

Answer:

Step-by-step explanation:

Give the fractions a common denominator

11/13 + 4/7 = 77/91 + 52/91

= 129/91

Answer:what do u need help on

Step-by-step explanation:

Answer:

it’s 4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

slope=3-(-1)/4-(-2)=4/6=2/3

Answer:

3x2+5=11

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

Answer:

[tex]\displaystyle \frac{-4 + i\sqrt{5}}{12}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{-8 + \sqrt{-20}}{24}[/tex]

Step 2: Simplify

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

[tex]k = \frac{y}{x}[/tex]

When y = 24; x = 8

So, we have:

[tex]k = \frac{24}{8}[/tex]

[tex]k = 3[/tex]

Answer:

me gusta las mujeres :)

Step-by-step explanation:

Answer:

37/39

Step-by-step explanation:

We know that formula for n terms of an AP is written as;

(n/2)(2a + (n - 1)d)

Let the sum of the first AP be;

(n/2)(2a + (n - 1)d)

Let the sum of the second AP be (n/2)(2A + (n - 1)D)

We are told that they have a ratio of (2n-1):(2n+1)

Thus;

(2n-1)/(2n+1) = [(n/2)(2a + (n - 1)d)]/[ (n/2)(2A + (n - 1)D)]

On RHS, n/2 will cancel out to give;

(2n-1)/(2n+1) = [(2a + (n - 1)d)]/[(2A + (n - 1)D)]

Rewriting this we have;

(2n - 1)/(2n + 1) = [(a + ½(n - 1)d)]/[A + ½(n - 1)D)]

But we want tod find;

(a + (n - 1)d)/(A + (n - 1)D)

Thus,at n = 10, we have;

(a + 9d)/(A + 9D)

Comparing with [(a + ½(n - 1)d)]/[A + ½(n - 1)D)], we can say that;

½(n - 1) = 9

n = 18 + 1

n = 19

Thus;

(a + 9d)/(A + 9D) = (2n-1)/(2n+1)

Putting n = 19 gives;

(a + 9d)/(A + 9D) = (2(19) - 1)/(2(19) + 1)

(a + 9d)/(A + 9D) = 37/39

Answer:Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs

Step-by-step explanation:

Answer:

yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs ([tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]; 1 and [tex]\frac{1}{2}[/tex]) are proportional. You multiply the input (distance) by [tex]\frac{1}{2}[/tex] to get the output (hours). The final option of input and output ([tex]2\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex]) is not proportional.

Hope it helps!

Answer:

$2.79

Step-by-step explanation:

$11.78

- $8.99

=$2.79

Answer:

Step-by-step explanation:

[tex]h=72\left(\frac{2}{3}\right)^{(n-1)}[/tex]

Step-by-step explanation:

Prolly not the correct answer but oh well

Good luck

Answer:

3

Step-by-step explanation:

why is there no option fr 3???

Answer:

[tex]a = 5[/tex]

[tex]b = .05[/tex]

Step-by-step explanation:

Given

[tex]y = 5\ .05^x[/tex]

Required

Determine a and b

An exponential function is represented as:

[tex]y =ab^x[/tex]

By comparing:[tex]y =ab^x[/tex] with [tex]y = 5\ .05^x[/tex]

[tex]a = 5[/tex]

[tex]b = .05[/tex]

Step-by-step explanation:

Answer for the first question.

since the triangles are congruent so angles and sides are also congruent I.e. sides and angles are equal then,

3x - 3 = 12

3x = 12 + 3

3x = 15

x = 5

55° = 7x + y

55° = 7 * 5 + y

35° + y = 55°

y = 55° - 35°

y = 20°

Answer for the second question,

x + 70° = 2x - 2° {Exterior angle of a triangle is equal to the sum of two opposite interior angles }

2x - x = 70° + 2°

x = 72°

Now

<WXY = 2x - 2°

= 2 * 72° - 2

= 142 °

Hope it will help :)❤✔

Answer:

3 minutes a sculpture

5 balloons in each sculpture

Step-by-step explanation:

96/32=3

160/32=5

:)

Answer: 47

Step-by-step explanation:

Δy/Δx=292-10/6-0=282/6=47

Answer:

it would be 4

Answer:

x=-17 y=-14 (-17,-14)

Step-by-step explanation:

-2(y-3)+3y=-8

-2y+6+3y=-8

combine like terms

y+6=-8

y=-14

next plug in y to find x

x=-14-3

x=-17

Answer:

the third one

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2. \ y= -2x+17}}[/tex]

Step-by-step explanation:

We are given a point and a slope, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is a point the line passes through.

For this problem, the slope is -2 and the point is (5,7). Therefore:

[tex]m= -2 \\x_1= 5\\y_1= 7[/tex]

Substitute the values into the formula.

[tex]y-7= -2(x-5)[/tex]

We want to solve for y, because the standard form of a line is y=mx+b (where m is the slope and b is the y-intercept).

Distribute the -2.

[tex]y-7= (-2*x ) + (-2*-5)[/tex]

[tex]y-7= -2x+10[/tex]

7 is being subtracted from y. The inverse of subtraction is addition, so add 7 to both sides.

[tex]y-7+7=-2x+10+7\\y= -2x+17[/tex]

The equation of the line is y= -2x+17