Identifying the Solution to a System of Two-Variable Inequalities
Which equation represents an inequality in the system
of inequalities shown in the graph?
4
Which point is a solution to the system?
х
2
4

28 each book 155-15=140 and then 140÷5=28

Answer:

I am not sure but I think the '' D'' answer is correct

Answer:

N=(-2,2)

G=(-2,-4)

H=(6,-4)

Answer:

P(E or F)=P(E)+P(F)=0.41+0.47=0.88

As per the probability of an event, the probability P(E or F) is 0.88, when E and F are mutually exclusive.

"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes how likely they are.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. "

Given, the probability of the event E is P(E) = 0.41

The probability of the event F is P(F) = 0.47

Now, the probability P(E or F) is

= P(E) + P(F)

= 0.41 + 0.47

= 0.88

Therefore, P(E or F) = 0.88

Learn more about the probability of an event here: https://brainly.com/question/13974679

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Answer:

Decay

Step-by-step explanation:

The value, y of an investment x is given by:

y = 25000(1.16)^-x

x = number of month after investment

y = value of investment after x months

The function f(y) above is an exponential usually related in the form:

y = Ar^-x

Plugging values of x into the function :

After 1 month; x = 1

y = 25000(1.16)^-1 = 21551.724

After 2 month; x = 2

y = 25000(1.16)^-2 = 18579.072

After 3 month; x = 3

y = 25000(1.16)^-3 = 16016.441

Since y is decreasing with increasing value of x, then we have a decay

Answer:

Decay

Step-by-step explanation:

Answer:

Verduras= $100

Lacteos= $60

Menestras= $120

Frutas y verduras= $80

Limpieza= $40

Step-by-step explanation:

Presupuesto= $400

Primero determinamos la proporción a gastar en cada rubro:

Verduras= 0.25

Lacteos= 0.15

Menestras= 0.3

Frutas y verduras= 0.2

Total= 0.9

Limpieza= (1 - 0.9) = 0.1

Ahora, la cantidad de dinero:

Verduras= 0.25*400= $100

Lacteos= 0.15*400= $60

Menestras= 0.3*400= $120

Frutas y verduras= 0.2*400= $80

Limpieza= 0.1*400= $40

Total= $400

Answer:

24

Step-by-step explanation:

volume of the pyramid=length*width* height*1/3

Answer:

Step-by-step explanation:

Plot your first point at coordinates (-3,-1). Then, plot your second point at (0,-2). You will notice this graph is a negative slope, given -1/3x from the equation, and that it shifts down 2 on the y-axis, given the -2 from the equation. Hope this helps!

Answer:

The equation of the straight line in point-slope form

                            [tex]y - 4 = \frac{7}{9} (x-0)[/tex]

The equation of the straight line

                         7x -9y +36 =0

Step-by-step explanation:

Step(i):-

Given that the points (0,4) and (-9,-3)

The slope of the line

         [tex]m = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } = \frac{-3-4}{-9-0} = \frac{7}{9}[/tex]

Step(ii):-

    Equation of the straight line passing through the point (0,4) and having slope m = 7/9

          [tex]y - y_{1} = m (x-x_{1} )[/tex]

         [tex]y - 4 = \frac{7}{9} (x-0)[/tex]

      9 y - 36 = 7x

              9y = 7x + 36

          [tex]y = \frac{7x}{9} +\frac{36}{9}[/tex]

Slope - intercept form  

                            [tex]y = \frac{7x}{9} +4[/tex]

Final answer:-

The equation of the straight line in point-slope form

                            [tex]y - 4 = \frac{7}{9} (x-0)[/tex]

The equation of the straight line

                         7x -9y +36 =0

Answer: y = 4km + 2km*x

Step-by-step explanation:

We know that Madelyn already cycled 4km this year, so we start at that point.

Now, each time that she goes to work, she cycles 2 km in total.

Now, if she does x trips to work, then she cycles 2km x times, this means that in total she would cycle 2km*x

if we also count the 4km she already has, we have the linear equation:

y = 4km + 2km*x

This is the equation we wanted to get.

Answer:

105525

Step-by-step explanation:

Answer:

1,005 x 105 = 105,525

Hope this helped! Have a great weekend.

Answer:

Financial manager sounds more professional.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

That is correct!

Step-by-step explanation:

Hope i could help!!!!!!!!

Answer: The answer is B 7/4

Step-by-step explanation:

Answer: dont know im lost

Step-by-step explanation:

Answer:

y = 2x - 3

Step-by-step explanation:

We first need to find y, which is the slope of the line, in this case is 2/1 or 2. b is the y-intercept, or where the line crosses they y-axis, which here is -3. Now you have y = 2x - 3.

Answer:

n = 11

Step-by-step explanation:

The side length of a triangle are n,n-3 and 2(n-2).

The perimeter of the triangle, P = 37 units

We need to find the value of n.

Perimeter = sum of all sides

n+n-3 +2(n-2) = 37

2n-3+2n-4 = 37

4n -7 = 37

4n = 37+7

4n = 44

n = 11

So, the value of n is 11.

Answer:

Height and Base Area

Step-by-step explanation:

If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume

- Cavaleri's Principle

Answer:

the third one

Step-by-step explanation:

you cannot add the hypotenuse with anything else to equal a leg if that makes sense

Answer:

-5

Step-by-step explanation:

Answer:

year 1 $520

year 2 $540.80

year 3 $562.43

Step-by-step explanation:

100 + 4 = 104

104/100= 1.04

500 X 1.04^of how many years

Answer:

4.969696 hours

Step-by-step explanation:

The distance traveled is shown through the following equations

Distance = velocity * time

This means that

4100=velocity*4

This means that ariplane 1 travles at 1025 km/hr

We can then subtract 200 from this to find that airplane two travels at a speed of 825 km/hr

Now we need to find how long it takes for that plane to travel 4100

So using the same equation

4100=825*time

Divison will tell us that the answer is around 4.9696 hours which is pretty much 5

Answer:

Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0

((12 + -3x) + 2x * (-4 + x)) = 0

(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = 0 + -3

-2x = 0 + -3

Combine like terms: 0 + -3 = -3

-2x = -3

Divide each side by '-2'.

x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

Answer:

[tex]2x^2+5x-12=0[/tex]

Step-by-step explanation:

Algebra

To expand the given equation

[tex](2x-3)(x+4)=0[/tex]

we'll use the distributive property by multiplying each term of the first binomial by each term of the second binomial as follows:

[tex]2x^2+8x-3x-12=0[/tex]

Rearranging and simplifying:

[tex]\mathbf{2x^2+5x-12=0}[/tex]

Answer:

[tex]36[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 12x = 21[/tex]

Required

Make a perfect square

First, get the coefficient (k) of x

[tex]k = -12[/tex]

Divide by 2

[tex]\frac{k}{2} = \frac{-12}{2}[/tex]

[tex]\frac{k}{2} = -6[/tex]

Square this result:

[tex](\frac{k}{2})^2 = (-6)^2[/tex]

[tex](\frac{k}{2})^2 = 36[/tex]

Hence, 36 when added to the left-hand side makes it a perfect square trinomial

Answer:

x = 2

Step-by-step explanation:

[tex]-2(1 - 4x) = 3x + 8[/tex]

[tex]=> -2 + 8x = 3x + 8[/tex]

Lets keep the variables in L.H.S .

[tex]=> 8x - 3x = 8 + 2[/tex]

[tex]=> 5x = 10[/tex]

[tex]=> x = \frac{10}{5} = 2[/tex]

Verification :-

Lets put x = 2 in the eqn.

In L.H.S -

[tex]-2 (1 - 4 \times 2)[/tex]

[tex]=> -2 (1 - 8)[/tex]

[tex]=> -2 \times -7[/tex]

[tex]=> 14[/tex]

In R.H.S -

[tex]3 \times 2 + 8[/tex]

[tex]=> 6 + 8[/tex]

[tex]=> 14[/tex]

∴ L.H.S. = R.H.S. (Proved)

Answer:

272 ft²

Step-by-step explanation:

Given that:

Width = 32 = length of base ; depth = 17 = height

Area of triangle :

A = 0.5 * base * height

A = 0.5 * 17 * 32

A = 272 ft²

Area of triangular stage = 272 ft²

Answer:

2 and 6

Step-by-step explanation:

Adjacent angles require a common vertex, side, and the interiors don't overlap.

Answer:

35:25

Step-by-step explanation:

seventh and eighth to sixth

7th+8th : 6th

20+15 : 25

35:25

Answer:

y = -2x - 4

Step-by-step explanation:

In order to write down the equation of this line in slope-intercept form we will need to know the slope and the y intercept. Since the y intercept is the value of y when x = 0, from this we know that in our case the y intercept is - 4. Now in order of find the slope we can choose any two points on the linear function and then divide the rise by the run of the slope (if you want to understand this more you can read about how to find the slope). In our case I took two points (-2, 0) and (0, -4). Form here we know that the slope is....

Let "m" be the slope...

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }= \frac{-4 - 0}{0 + 2} = \frac{-4}{2} = -2[/tex]

We know that the slope-intercept looks like y = mx + b (where m is the slope and b is the intercept) so since we know both the slope and the y interest we can conclude the following.

The equation of the linear function show is y = -2x - 4