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seraphim [82]
3 years ago
7

Fill in the blanks with two consecutive integers to complete the following inequality.

Mathematics
2 answers:
Andreyy893 years ago
8 0

Answer:

9 < √97 < 10

Step-by-step explanation:

√97 is a little less than √100

Which is 10

9 < √97 < 10

baherus [9]3 years ago
4 0
<h3>Answer:  9 < √97 < 10 </h3>

=====================================================

Explanation:

Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2

We can apply the square root to all three sides to get the following

81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\

Using a calculator, we can help verify this

\sqrt{97} \approx 9.85

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The archway of the main entrance of a university is modeled by the quadratic equation
Scilla [17]

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+  126 - 24y

y = -441 + 168y - 16y^2 +  126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

3 0
3 years ago
How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors
siniylev [52]

Answer:

4 (2 + 9)

Step-by-step explanation:

  Given expression:

              8 + 36

The greatest common factor is the highest number that divides a number:

8 and 36 ;

  Factors of 8 : 1,2,4, 8

                  36 : 1, 2, 3, 4, 9, 18, 36

The highest common factor is 4;

  8 + 36  = 4 (2 + 9)

7 0
3 years ago
Which addition does this model represent.​
Elina [12.6K]
It represents the first one 3+(-1)
5 0
2 years ago
1/3 of 18 helpp please
MAXImum [283]

Answer:

6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write 5 5/8 as a improper fraction<br> A. 33/8<br> B. 45/8<br> C. 40/8<br> D. 35/8
Vikentia [17]

Answer:

I believe this would be B

Step-by-step explanation:

The way I do improper fractions is called the 'boot'

It is where you take the whole number and the denominator and circle both of them so it kind of looks like a boot and you multiply those together.

So 5 * 8= 40 then you add your numerator to that which gets you 45, and you keep the denominator the same

So you end up with 45/8

Sorry if its a little confusing

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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