What is the square root of 92 to the nearest integer?

Eddi Din [679]

Answer: x=27

Step-by-step explanation:

8 0

3 years ago

Solve the equation below and find the variation constant, k .Find y when x = 7 and z=5, if y varies jointly as x and 2, and y= 1

Vlada [557]

<h3>Answers:</h3>

Variation Constant: k = 7/6

y = 245/6 when x = 7 and z = 5

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

Explanation:

"y varies jointly as x and z" means that y = kxz

We have (x,y,z) = (4,14,3) as one triple, so,

y = kxz

14 = k*4*3

14 = 12k

12k = 14

k = 14/12

k = 7/6 is the variation constant

The equation goes from y = kxz to y = (7/6)xz

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Plug in x = 7 and z = 5 to find y

y = (7/6)xz

y = (7/6)*7*5

y = (7/6)*(7/1)*(5/1)

y = (7*7*5)/(6*1*1)

y = 245/6

4 0

3 years ago

Solve for x in the equation x2+2x+ 1 = 17.

Tresset [83]

For this case we must solve the following quadratic equation:

$x ^ 2 + 2x + 1 = 17$

Subtracting 17 from both sides of the equation we have:

$x ^ 2 + 2x + 1-17 = 0\\x ^ 2 + 2x-16 = 0$

The solution of the equation is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Where:

$a = 1\\b = 2\\c = -16$

Substituting the values we have:

$x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 16)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 64}} {2}\\x = \frac {-2 \pm \sqrt {68}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 17}} {2}\\x = \frac {-2 \pm2 \sqrt {17}} {2}\\x = -1 \pm \sqrt {17}$

Thus, we have two roots:

$x_ {1} = - 1+ \sqrt {17}\\x_ {2} = - 1- \sqrt {17}$

Answer:

$x_ {1} = - 1+ \sqrt {17}\\x_ {2} = - 1- \sqrt {17}$

4 0

3 years ago

Write a system of equations to describe the situation below, solve using elimination, and fill in

Andrej [43]

Answer: Child is $1 and Adult is $3, per person.

Step-by-step explanation:

We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.

The income for Monday and Tuesday can be calculated:

Monday: 16C + 42A = $142

Tuesday: 24C + 26A = $102

Rearrange the second equation to isolate one of the variables. I'll pick C:

24C + 26A = $102

C = ($102 - 26A)/24

Now use this expression for C in the first equation

16C + 42A = $142

16(($102 - 26A)/24) + 42A = $142

(1632 - 416A)/24 + 42A = $142

(68 - 17.3333A + 42A = $142

24.6667A = 74

A = 3 [The price of an adult pool admission is $3]

Use this value in either equation to find the price of a child's admission:

24C + 26A = $102

24C + 26*($3) = $102

24C = 102 - 78

C = $1 [The price of a child's admission to the pool is $1]

Check to see if these prices satisfy both equations:

Monday: 16C + 42A = $142

Tuesday: 24C + 26A = $102

---

Monday: 16*(1) + 42*(3) = $142 ? YES

Tuesday: 24*(1) + 26*(3) = $102 ? YES

<u>Child is $1 and Adult is $3, per person.</u>

6 0

2 years ago

You plan to invest $350 in a growth fund that has a rate of 1.5% compounded quarterly. How much money will this investment be wo

nydimaria [60]

Answer:

Hey man I know the answer to this question it would be $449.12

Step-by-step explanation: 350*1.005^50= 449.12

7 0

4 years ago

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