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Mice21 [21]
3 years ago
7

-2(3x+4)<-4+8 solve the inequality

Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0

Answer:

Inequality: x > -2

Interval Notation: ( -2, ∞)

Step-by-step explanation:

mario62 [17]3 years ago
8 0

Answer:

x > -2

Step-by-step explanation:

-2(3x+4)  < -4+8    (evaluate right side)

-2(3x+4)  < 4    (expand the parentheses on the left side using distributive property)

3x(-2) + 4(-2) < 4

-6x - 8 < 4  (add 8 to both sides)

-6x < 4 + 8

-6x < 12   (divide both sides by 6)

-x < (12/6)

-x < 2   (multiply both sides by -1; remember to flip the sign when multiplying both sides by a negative number)

x > -2

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Find the number of ways to distribute six different toys to three different children such that each child gets at least one toy.
Lisa [10]

Answer:

Step-by-step explanation:

Given that there are six different toys and they are to be distributed to three different children.

The restraint here is each child gets atleast one toy.

Let us consider the situation as this.

Since each child has to get atleast one toy no of ways to distribute

any 3 toys to the three children each.  This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways

So 3 toys to each one in 6x5x4 =120 ways

Now remaining 3 toys can be given to any child.

Hence remaining 3 toys can be distributed in 3x3x3 =27 ways

Total no of ways

= 120(27)

= 3240

8 0
3 years ago
Guys/girls help what is 30x1= and the times it by fish and eat it and tell me what u get
ziro4ka [17]

Answer:

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Step-by-step explanation:

because if you eat something it would be gone in our tummy

3 0
3 years ago
Newton’s law of cooling states that the temperature of an object changes at a rate proportionalto the difference between the tem
Verizon [17]

Answer:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

Step-by-step explanation:

Hi!

Lets call:

T = temprature of the object

T₀ = temperature of surroundings

t = time

The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

\frac{dT}{dt} = -k(T-T_0) \\

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

3 0
3 years ago
A line plot titled Household T V Ownership has Number of televisions on the x-axis. There is x about 0, 2 above 1, 4 above 2, 7
bogdanovich [222]

Answer

4

3

Step-by-step explanation:

i did the test.

8 0
3 years ago
Kayla drives 15 miles in 20 minutes. If she drove one hour in total at the same rate,
Rudik [331]

Answer:

45 miles

Step-by-step explanation:

first divide miles/minutes: 15 / 20 = 0.75

then multiply: 0.75 x 60 = 45

3 0
3 years ago
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