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cupoosta [38]
3 years ago
11

Solve the inequality below. f2−9>−5

Mathematics
2 answers:
mylen [45]3 years ago
6 0

Answer:

f>2 or you could do f<-2

Step-by-step explanation:

f^2−9>−5

Add 9 to each side

f^2−9+9>−5+9

f^2 >4

f>2  or f<-2

Salsk061 [2.6K]3 years ago
5 0

Answer:

f>2  or f<-2

Step-by-step explanation:

f^2−9>−5

Add 9 to each side

f^2−9+9>−5+9

f^2 >4

Take the square root of each side, remembering to flip the sign of  the inequality for the negative

f>2  or f<-2

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ella [17]

answer

lowest form of 66\108

=11\18

5 0
3 years ago
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What is 3x squared-12x=0
lubasha [3.4K]

x=0 or x=4

just factorize basically

cancels the x’s so it’d be 3x-12=0 and from that x=4

3 0
3 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
A car is advertised as $288/month for 72 months. What is the cost of the car?
viktelen [127]

Answer:

$20,736

Step-by-step explanation:

When these kind of advertisements are displayed,, it means the EMI cost per month shall be $288.

Since it provides the time period, that is 72 months,

Total cost of car in this case shall be $288 \times 72 months = $20,736

Also, these include an interest factor, but overall it is = $20,736 only,

If one down payment for full price of the car is made the cost shall reduce by the interest amount, but since no interest rate is provided it shall be ignored.

7 0
3 years ago
Sarah made a deposit of $100 into a savings account with 3
Andru [333]

Answer: D, $116

Step-by-step explanation:

A = 100(1 + 0.03)^5

A = 100(1.03)^5

A = 100(1.1593)

A = 115.92

Hope this helped!

7 0
2 years ago
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