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3 years ago

9

Joseph used the problem-solving strategy Work Backward to solve the inequality 2n+5<13. Shawnee solved the inequality using t

he algebraic method. Compare the two methods.

1 answer:

Katen [24]3 years ago

3 0

@ 2x3 <y+zov

{(0064>*/&66^^^^^^09490-mf

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hey, do any of you guys know how to plot functions on a graph. You know like f(X) and g(X)? I find it really hard and also do yo

Tpy6a [65]

It helps if you have an example, like f(x) = 2x+3
What you typically do, is:

- draw xy axis, label them (ie., 1,2,3,4 along both axes)
- calculate the f(x) values for several x (e.g., -2, 0, 1, 3, doesn't matter).
- plot the calculated values as points. The calculated f(x) is your y value.
- sketch a smooth line through the points. It helps if you know in advance if the line is going to be straight or curved.
- The more points you calculate, the more accurate your graph will be

3 0

3 years ago

An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second

AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

$\displaystyle P(R)=\frac{5}{7}$

The probability is's green is computed by

$\displaystyle P(G)=\frac{2}{7}$

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

$\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}$

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

$\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}$

The total probability of the second ball being red is

$\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71$

The probability that the second ball is red is 71%

7 0

3 years ago

The prism is completely filled with 1750 cubes that have edge length of 15 ft.

neonofarm [45]

The volume of the prism = 14 ft³

Solution:

Number of cubes in the prism = 1750

Edge length of each cube (a) = $\frac{1}{5}$ ft

<u>To find the volume of each cube:</u>

Volume of each cube = a³

$$=\left(\frac{1}{5} \right)^3$

Volume of each cube $$=\frac{1}{125} \ \text{ft}^3$

<u>To find the volume of the prism:</u>

Volume of the prism = Volume of each cube × Number of cubes

$$=\frac{1}{125} \ \text{ft}^3\times 1750$

= 14 ft³

The volume of the prism = 14 ft³

7 0

4 years ago

HELP DUE IN 10 MINS! Solve for x in the parallelogram below:<br><br> x=??

slavikrds [6]

Answer:

x = 10

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, then

5x - 9 = 3x + 11 ( subtract 3x from both sides )

2x - 9 = 11 ( add 9 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

6 0

3 years ago

Find the slope of the line passing through the points (6, -6) and (4, -4)

djyliett [7]

To find the slope (m), use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$ and plug in the two points

(4, -4) = (x₁, y₁)

(6, -6) = (x₂, y₂)

[lines usually go from left to right, so the point furthest to the left is the 1st point]

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-6-(-4)}{6-4}$ [two negative signs cancel each other out and become positive]

$m=\frac{-6+4}{6-4}$

$m=\frac{-2}{2}$

m = -1

3 0

3 years ago