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timofeeve [1]
3 years ago
8

Ben said the graph of the inequality

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

Ben is incorrect

The solutions are x>-3 and x < 3

Step-by-step explanation:

we have

-x^{2} +9 > 0

Multiply by -1 both sides

x^{2} -9 < 0

Adds 9 both sides

x^{2} < 9

The solutions are

x < 3

and

-x < 3 -----> Multiply by -1 both sides ----> x > -3

therefore

The solution is the interval (-3,3)

Ben is incorrect

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Find the 21st term in the arithmetic sequence.<br> 3, 7, 11, 15, 19, ...
NNADVOKAT [17]

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

Thus, the required 21st term in the sequence is

a₂₁ = 3 + (21 - 1) × 4

⇒ a₂₁ = 3 + 20 × 4

⇒ a₂₁  = 3 + 80

∴ a₂₁  = 83

So, the 21st term in the given arithmetic sequence is 83.

Learn more about the arithmetic sequence here:

brainly.com/question/6561461

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5 0
1 year ago
How many decimals are in a product
enot [183]

Answer: 2 decimal digits

Step-by-step explanation:

When multiplying decimals, placement of the decimal point is very important. Since there is one decimal digit in each factor, there must be two decimal digits in the product. This is because tenths x tenths = hundredths

Hope this helps and good luck! :)

5 0
3 years ago
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State the name of the property illustrated below.
ivanzaharov [21]

Answer:

Step-by-step explanation:

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8 0
2 years ago
The Nuthouse offers a mixture of soy nuts and almonds, Almonds
elena55 [62]

Answer:

  14 pounds

Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

  x = 20 -y . . . . . . . subtract y from the first equation

  7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

  140 -1.5y = 119 . . . . . . . . simplify

  21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

  14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

__

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.

6 0
1 year ago
Choose the product. -6p3(3p2 + 5p - 1) -18p5 - 30p4 + 6p3 -18p6 - 30p3 - 6p 18p3 + 6p2 - 30p4 -18p6 - 24p3
wlad13 [49]
-6p^3(3p^2 +5p -1) = -18p^5 -30p^4 +6p^3

so this is the right answer sure 
7 0
2 years ago
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