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2 years ago

7

Solve the equation:

itle="\sqrt{} x^{2} + 4 - 1 = 2" alt="\sqrt{} x^{2} + 4 - 1 = 2" align="absmiddle" class="latex-formula">

1 answer:

Georgia [21]2 years ago

3 0

Answer:

D) x = √5

Step-by-step explanation:

$\sqrt{x^{2}+4 }-1 = 2$

$\sqrt{x^{2}+4 } = 3$

$x^{2}+4 = 3^{2}$

$x^{2}+4 = 9$

$x^{2} = 9 -4$

$+x = \sqrt{5} , -x = \sqrt{5}$

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The graph shows the attendance at a hockey game, and the rate at which the fans enter and exit the

Strike441 [17]

Answer:

The answer is below

Step-by-step explanation:

From the graph, we can see that both segment 1 and segment 2 are positive slopes (as the time increases, the number of people increases)

Segment 1 is more steep than segment 2 (the number of people increases in segment 1 more than segment 2). This means that the number of people entering the arena in segment 1 was higher than the rate of people entering the arena in segment 2.

8 0

3 years ago

Sabrina wants to have an average of at least 90 on her quizzes. If she took three quizzes andearned a 95, 86 and 82, what is the

Marrrta [24]

Answer:

97

Step-by-step explanation:

<u>97 </u>+ 95 + 86 + 82 = 360

360 / 4 = <em>90</em>

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i hope this helps :))

3 0

2 years ago

This is my my second to <br>last one, thanks for helping me

icang [17]

9514 1404 393

Answer:

$9
Option 4

Step-by-step explanation:

The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.

1 cherry and 7 sweet potato for $114 ⇒ C +7S = 114

14 sweet potato and 11 cherry for $309 ⇒ 11C +14S = 309

Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.

These equations match Option 4.

__

The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:

(11C +14S) -2(C +7S) = (309) -2(114)

9C = 81 . . . . . simplify

C = 9 . . . . . . . divide by 9

The cost of each cherry pie is $9.

3 0

3 years ago

1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[in

scZoUnD [109]

Answer:

Step-by-step explanation:

a) $\int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}$

Substitute limits to get

= $\frac{1}{3}$

Thus converges.

b) 10th partial sum =

$\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}$

= $\frac{-1}{3} (0.001-1)\\= 0.333$

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

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3 0

3 years ago

Simplify: 16z8-23z8 <br><br>enter the original expression if it can't be simplified

inn [45]

Answer:

The simplified version of that equation would be $-7z^{8}$ .

Step-by-step explanation:

Since $16z^{8}$ and $23z^{8}$ have the same exponent and variable, we can combine them normally.

$16z^{8}$ - $23z^{8}$ = $-7z^{8}$

4 0

3 years ago