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3 years ago

Which graph shows all the values that satisfy 2/gx +3>45/g

Mathematics

1 answer:

MissTica3 years ago

8 0

Answer:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Step-by-step explanation:

You might be interested in

A total of 1,650 boxes of Girl Scout cookies were sold last week. Each large box cost $3.50 and each small box cost $2.00. The G

s344n2d4d5 [400]

Answer:

900 large boxes were sold, and 750 small boxes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of large boxes of cookies sold.

y is the number of small boxes of cookies sold.

A total of 1,650 boxes of Girl Scout cookies were sold last week.

This means that

$x + y = 1650$

$x = 1650 - y$

Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group earned $4,650.

This means that

$3.5x + 2y = 4650$

Since $x = 1650 - y$

$3.5(1650 - y) + 2y = 4650$

$5775 - 3.5y + 2y = 4650$

$1.5y = 1125$

$y = \frac{1125}{1.5}$

$y = 750$

$x = 1650 - y = 1650 - 750 = 900$

900 large boxes were sold, and 750 small boxes.

8 0

3 years ago

The demand function for q units of a product at $p per unit is given by p(q + 3)2 = 100,000. Find the rate of change of quantity

wariber [46]

Answer:

-0.625 unit

Step-by-step explanation:

Given that:

$p(q+3)^2 = 100, 000$

where;

p = price

q = quantity

To find the rate of change of quantity (q) with respect to price (p) we go by the differentiation

$(q+3)^2\frac{dp}{dp} +p^2(q+3)\frac{dq}{dp}=0$

$(q+3)^2 +p^2(q+3)\frac{dq}{dp}=0$

$\frac{dq}{dp}=\frac{-(q+3)}{2p}$

when P =40

Then 4(q+3)² = 100, 000

(q+3)² = $\frac{100,000}{4}$

(q+3)² = 25,000

(q+3) = $\sqrt{2500}$

q+ 3 = 50

q = 50 -3

q = 47

NOW; $\frac{dq}{dp}=\frac{-(q+3)}{2p}$

$\frac{dq}{dp}=\frac{-(47+3)}{2*40}$

$\frac{dq}{dp}=\frac{-47-3}{2*40}$

$\frac{dq}{dp}=\frac{-50}{80}$

$\frac{dq}{dp}=-0.625$

Thus, the rate of change of quantity with respect to price when p = $40 is -0.625 unit.

8 0

4 years ago

Select 2 points PLEASE ANSWER THANKS YOU SO MUCH

Xelga [282]

Answer:

1) The graph is as shown at the attached figure.

2) The line passes with (1,-3) and (2,-2)

Step-by-step explanation:

graph the line that passes with (3,-1) and has a y-intercept of -4

y-intercept is the value of y when x = 0

So, the line passes with (0 , -4)

The general form of the line y = mx + c

Where m is the slope and c is y-intercept

given y-intercept = -4 ⇒ ∴ c = -4

using the other point to find m

So, when x = 3 , y = -1

So, -1 = 3m - 4

Solve for m

3m = -1 + 4 = 3

m= 3/3 = 1

So, the equation of the line ⇒ <u>y = x - 4</u>

See the attached figure which represents the graph of the line

As shown at the graph the line passes through the points <u>(1,-3) and (2,-2)</u>

7 0

3 years ago

Find the value of x

Bess [88]

Step-by-step explanation:

the answer is

2x+4x =90

6x=90

x=15°

3 0

3 years ago

Use the function f(x) to answer the questions. f(x) = −16x2 + 22x + 3 Part A: What are the x-intercepts of the graph of f(x)? Sh

Blizzard [7]

Step-by-step explanation:

f(x) = -16x² + 22x + 3

Factor:

f(x) = (8x + 1) (-2x + 3)

The x-intercepts are (-1/8, 0) and (3/2, 0).

The leading coefficient is negative, so the parabola points down. Therefore, the vertex is a maximum. The x-coordinate is halfway between the x-intercepts.

x = (-1/8 + 3/2) / 2

x = 11/16

f(11/16) = 169/16

So the vertex is at:

(11/16, 169/16)

Graph the x-intercepts and the vertex, then draw a curve through the 3 points.

8 0

4 years ago