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Olin [163]
3 years ago
11

1. For each problem, use the properties of inequalities to write a true inequality statement.

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

Part a) The true inequality statement is: -2>-5

Part b) The true inequality statement is: -4>-7

Part c) The true inequality is 6

Step-by-step explanation:

We are given the two integers are -2 and -5.

Part a)

Write a true inequality statement.

The true inequality statement is: -2>-5

Part b)

Subtract-2 from each side of the inequality. Write a true inequality statement.

Subtracting -2 from each side we get:

-2>-5\\-2-2>-5-2\\-4>-7

The true inequality statement is: -4>-7

Part c)

Multiply each number by-3. Write a true inequality statement.​

Multiplying -3 on both sides:

-2>-5\\-2*-3>-5*-3\\Multiplying\,\,-3\,\,will\,\,change\,\,the\,\,inequality\,\,sign\\6

The true inequality is 6

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

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Liz deposited money into an account in which interest is compounded quarterly at a rate of 3.2%. How much did she deposit if the
Anna [14]

Answer:

$4125.00

14.94 years

$379.50

Step-by-step explanation:

1. A = P(1 + r/n)^(nt)

4837.65 = P(1 + 0.032/4)^(4×5)

4837.65 = P(1.008)^(20)

P = 4125.00

2. A = P(1 + r/n)^(nt)

10250 = 5125(1 + 0.0475/1)^(1×t)

10250 = 5125(1.0475)^t

2 = 1.0475^t

ln 2 = t ln 1.0475

t = 14.94

3. Beth pays the first $100, bringing the cost to $1118.  She then pays 25% of this, which is $279.50.  So she pays a total of $379.50.

5 0
3 years ago
3x – 15 = 39<br> =<br> What does x equal
kvasek [131]
3x - 15 = 39
+ 15 +15

3x = 54 (divide by 3 on each side)

X = 18
5 0
2 years ago
Read 2 more answers
Quadrilateral wxyz is a paralelogram if w=50<br> what is wzy
slega [8]
It means different digits.
W=50 would count as one of the digits.
Now you have to figure out what “XYZ” is.
8 0
2 years ago
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess
statuscvo [17]
Let's start by visualising this concept.

Number of grains on square:
1   2   4   8   16 ...

We can see that it starts to form a geometric sequence, with the common ratio being 2.

For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
T_n = ar^{n - 1}
T_{15} = 2^{14} = 16384

Thus, there are 16, 384 grains on the fifteenth square.

The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
S_n = \frac{a(r^{n} - 1)}{r - 1}
S_{15} = \frac{2^{15} - 1}{2 - 1}
S_{15} = 2^{15} - 1 = 32767

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6 0
3 years ago
Read 2 more answers
27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8
Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

4 0
3 years ago
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