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4 years ago

Solve the compound inequality 6b < 24 or 4b + 12 > 4

Mathematics

2 answers:

yan [13]4 years ago

5 0

Answer:

b< 4 or 4b>-8

b>-2

Final answer:

b<4 or b>-2

Step-by-step explanation:

liraira [26]4 years ago

4 0

Answer:

6b < 24

⇔ b < 24/6

⇔ b < 4

4b + 12 > 4

⇔ 4b > 4 - 12

⇔ 4b > -8

⇔ b > -8/4

⇔ b > -2

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What is the midpoint between (1,5) and (7,-3)

Leokris [45]

Answer:

(4,1)

Step-by-step explanation:

$Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\$

$=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)$

6 0

3 years ago

Read 2 more answers

Advertising A bank manager wants to encourage new customers to open accounts with principals of

schepotkina [342]

Answer:

The poster say, "Open an account of $3,500 and earn at least $10 interest in 1 month!" is correct

Step-by-step explanation:

Given, A bank manager wants to encourage new customers to open accounts with principals of at least $3,500.

He decides to make a poster advertising a simple interest rate of 4.8%.

We have to find what must the principal be if the bank manager also wants to advertise that one can earn $10 the first month

We know that, banks offer simple interest

In our problem, simple interest = $10, rate = 4.8%, time = 1 month

Let us see Can the poster correctly say, "Open an account of $3,500 and earn at least $10 interest in 1 month!"?

So now, in our problem, amount = $3500, rate = 4.8% and time = 1 month =

So, the statement is correct.

Hence, amount to be invested is $2500 and poster says correctly.

5 0

3 years ago

You need to cover the playground of a child development center with mulch. The playground is 125 feet long and 60 feet wide. You

jenyasd209 [6]

Change 125 and 60 into inches
1500 and 720
1500*720=1,080,000 (area)
multiply by 6
1,080,000*6=6,480,000
divide by 12 to make it into feet
6,480,000/12=540,000
divide by 3 to make it into yards
you need 180000 cubic feet of mulch

3 0

3 years ago

Write a correct equation for the function whose graph is shown.

Rom4ik [11]

Answer:

$\displaystyle y=-2sin(6t)$

Step-by-step explanation:

<u>Sinusoid</u>

The shape of a sinusoid is well-know because it describes a curve with a smooth and periodic oscillation. The sine and cosine are the two trigonometric functions in which the graph matches the description of a sinusoid. The sine can be identified because its value is zero at time zero.

The graph shown in the figure corresponds to a sine. The other characteristics of the sine function are

* It completes a cycle in $2\pi$ radians

* It has a maximum of 1 and a minimum of -1

* It's increasing for a quarter of the cycle, decreasing for half of the cycle, and increasing for the remaining quarter of the cycle

* The equation is

$y=Asin(wt)$

The function starts decreasing for the first quarter, which only is possible if the amplitude A is negative. We can also see the maximum and minimum values are 2 and -2 respectively. This means the amplitude is A=-2

We can also see the function completes 3 cycles in $t=\pi$ radians or 6 cycles in $2\pi$ radians. Or, equivalently