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3 years ago

Solve the given inequality and graph the solution on a number line.

Mathematics

1 answer:

Vinvika [58]3 years ago

5 0

$-\dfrac{x}{2}+\dfrac{3}{2} < \dfrac{5}{2}\ \ \ \ |\cdot2\\\\-x+3 < 5\ \ \ |-3\\\\-x < 2\ \ \ \ |change\ the\ signs\\\\x > -2\to x\in(-2;\ \infty)$

Answer\ in\ attachment.

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A.) $405.00

marshall27 [118]

$450 since first month was free if it wasn’t free it would’ve been $495

3 0

3 years ago

Solve the equation. 3x+12 = 5x-21

almond37 [142]

3x+12=5x-21
-5x -5x
-2x + 12 = -21
-12 -12
-2x=-33
x = 16.5

4 0

3 years ago

The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a lin

Alika [10]

Answer:

0.47x + 7.72

Step-by-step explanation:

We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)

The general equation of the line in slope intercept form is

y = mx + c

where m is the slope and c is the y-intercept.

Calculating the slope:

$slope=m=\frac{\textrm{Difference of y coordinates}}{\textrm{Difference of x coordinates}} \\\\ slope=m=\frac{27.75-17.5}{43-21}\\\\m=0.47$

Using the value of m in above equation we get:

y = 0.47x + c

Calculating the y-intercept:

Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:

17.5 = 0.47(21) + c

c = 17.5 - 0.47(21)

c = 7.63

Therefore, the equation is:

y = 0.47x + 7.63

Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.

So from the given options, the correct answers is:

y = 0.47x + 7.72

3 0

3 years ago

Read 2 more answers

Im confused (pIcTuRe aTtAcHeD)

vodka [1.7K]

well, let's take a peek, "m" is drawn on the x-axis most likely and H(m) is drawn on the y-axis, making a straight line.

so at m = -5, namely 5 minutes before he was told to go home, the kite was 375 meters up.

then he was told to go home, when m = 0, and the kite was 300 meters up.

now, as far as the other numbers, m = 5, 5 minutes after he was told, the kite was 225 m up, then 10 minutes later, then 15 minutes later then 20 minutes later m = 20, the kite was at 0, namely on the ground, he already had rolled up all the kite string that he was coiling up, so he can pack it in his carriage bag and go home.

5 0

3 years ago

Gwar [14]

Answer:

1,3,4

Step-by-step explanation:

ıf we rearrange formula we can obtain

p=nrt/v

t=pv/nr

v=nrt/p

r=pv/nt

4 0

2 years ago