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astra-53 [7]
3 years ago
14

If the system of inequalities y>= 2x + 1 and y > 1/2x -1 is graphed in the xy-plane above, which quadrant contains no solu

tions to the system?

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

View graph

Step-by-step explanation:

We have as a solution of the inequalities the shaded region in quadrant I, that is, there is no solution in quadrants II, III and IV

For the equation y ≥ 2x + 1 the region generated by the values ​​on the line and to the left is taken, and for the inequality y> 1 / 2x-1 the region generated by the values ​​on the curve and to the right is taken

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A car travels a distance of 540 km in 6 hours what speed did he travel at
SVETLANKA909090 [29]

Speed = Distance /  time

Speed = 540 km / 6 hours

Speed = 90 km/hr.

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2 years ago
A pitcher holds 3/4 gallons of kool-aid. Martin wants to pour equal amounts of kool- aid into 6 smaller cotainers. How much kool
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Answer:

\dfrac{1}{8}\ gallons

Step-by-step explanation:

Amount of kool - aid that the pitcher can hold = \frac{3}4 gallons

There are 6 smaller containers in which this kool - aid is to be adjusted.

Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.

To find:

The amount of kool - aid that each container can hold?

Solution:

Volume of all the smaller containers combined = Volume of the kool - aid available

Let the volume of one smaller container = V

V + V + V + V + V + V = \dfrac{3}{4}\ gallons

\Rightarrow 6V = \dfrac{3}{4}\ gallons\\\Rightarrow V = \dfrac{3}{4\times 6 }\ gallons\\\Rightarrow V=\bold{\dfrac{1}{8}\ gallons}

\frac{1}{8}\ gallons of kool - aid is the amount that each smaller can hold.

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2 years ago
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3 years ago
a. Rewrite the equation in exponential form.b. Create a table of coordinates, using the exponential form from part (a). Begin by
Bond [772]

Gven

The lograthmic function, lograthmic fu

y=\log_4x

To find:

a) Rewrite the function in exponential form.

b) For each given value of y, find the value of x to complete the ordered pair.

c) The graph of the function.

Explanation:

It is given that,

y=\log_4x

a) Since,

It is known that,

\begin{gathered} y=\log_ax \\ \Rightarrow x=a^y \end{gathered}

Then,

x=4^y

Hence, the exponential form of the function is,

x=4^y

b) Also,

For y = -2,.

The value of x is given by,

\begin{gathered}  \\ \Rightarrow x=4^{-2} \\ \Rightarrow x=\frac{1}{4^2} \\ \Rightarrow x=\frac{1}{16} \end{gathered}

Hence, the ordered pair is (1/16, -2).

For y = -1,

\begin{gathered} x=4^{-1} \\ x=\frac{1}{4} \end{gathered}

Hence, the ordered pair is (1/4, -1).

For y = 0,

\begin{gathered} x=4^0 \\ x=1 \end{gathered}

Hence, the ordered pair is (1, 0).

For y = 1,

\begin{gathered} x=4^1 \\ x=4 \end{gathered}

Hence, the ordered pair is (4, 1).

For y = 2,

\begin{gathered} x=4^2 \\ x=16 \end{gathered}

Hence, the ordered pair is (16, 2).

c) Also, the graph of the given function is,

7 0
1 year ago
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