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marusya05 [52]
4 years ago
7

Which compound inequality is represented by the graph​

Mathematics
1 answer:
nikitadnepr [17]4 years ago
7 0

Answer:

-2 < x < = 4

Step-by-step explanation:

Cause the dot at -2 isn't full, means that it's not equal to it.

The opposite thing happens at 4

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Could someone answer and explain these please? Thank you!
Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

x=(10 \times t)+(1 \times u)

x=10t+u

The two digit number 'y' is obtained by reversing the digits of x.

So, y=(10 \times u)+(1 \times t)

y=10u+t

Now, the value of x-y is expressed as:

x-y=(10t+u)-(10u+t)

x-y=10t+u-10u-t

x-y=9t-9u

x-y=9(t-u)

So, 9(t-u) is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = \frac{a}{1-r}

Since, the sum of the given infinite geometric series = 200

Therefore,\frac{a}{1-r}=200

Since, r=0.15 (given)

\frac{a}{1-0.15}=200

\frac{a}{0.85}=200

a=0.85 \times 200

a=170

The nth term of geometric series is given by ar^{n-1}.

So, second term of the series = ar^{2-1} = ar

Second term = 170 \times 0.15

= 25.5

So, the second term of the geometric series is 25.5






Step-by-step explanation:


8 0
3 years ago
Lcm of 8 and 15 Please!
FromTheMoon [43]

Since, 8 and 5 both are prime numbers u can simply multiply 8 and 15 to get your answer..

the ans is 120..

8 0
3 years ago
A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all
Jobisdone [24]

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713

0.0713 = 7.13% probability that the result is positive.

4 0
3 years ago
Fine the 25th term of an arithmetic progression 12,16,20,24,<br>​
GuDViN [60]

Answer:

108

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 16 - 12 = 4, thus

a_{25} = 12 + (24 × 4) = 12 + 96 = 108

6 0
3 years ago
Read 2 more answers
2(1/2q+1)=-3(2q-1)+4(29+1)
FrozenT [24]
Q+2=-6q+3+120
Q+2= -6q+123
+6q +6q
7q+2=123
-2. -2
7q =121
Divide by 7 on each sides to get
q= About 17
4 0
3 years ago
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