Find the value of x in the equation √ x + 5 = √ x + 45.

Answers

Answer 1
Answer: √x+5 = √x+45
 
(√x+5)^2 = x+45 
x+25+10√x = x+45 
25+10√x = 45 
10√x = 20 
√x=2 
x=4

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How do you graph y=18

Answers

y = 18 is just a straight horizontal line at (0,18)

Answer:

Use the slope-intercept form to find the slope and y-intercept

Any line can be graphed using two points. Select two  x

values, and plug them into the equation to find the corresponding  y

values.  Graph the line using the slope and the y-intercept, or the points.

Slope:  2

y-intercept:  18

Describe the conditions necessary for the variance to have the value zero.

Answers

The variance must be subtracted with the same value, or added with its opposite integer.

Given f(x)=x^2-8 and g(x)=x+1/x, find (g o f)(1)[Hint:(g o f)(-4)=(g(f(-4))]
a.)8/7 b.)8 c.)6/7 d.)-8

Answers

f(1) is equal to 1^2-8, or -7.

g(x) is (-7+1)/-7, or -6/-7.  This simplifies to 6/7.  C is the best option.

Also, since you posted a similar question earlier, I knew what to look for with g(x), but in the future, this looks like the x is not divided by the x in the denominator, and you should express this function as (x+1)/x to increase clarity.

A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?

Answers

The pencil costs $0.25.

One way to deduce this is to divide 1.50 by 2 (equaling 0.75) and then subtracting .5 to get 0.25 because if it's $1 more, then the ruler would cost 0.75 + 0.5 and the pencil would cost 0.75 - 0.5, making a total of $1.50.

Another way is to make it an equation. Let's say the ruler is r dollars and the pencil is p dollars.
r + p = 1.50
r = p + 1.00
If we know these two equations, then you can substitute p + 1.00 in the 1st equation (instead of r). This gets us:
p + 1.00 + p = 1.50
You can simplify this into:
2p + 1.00 = 1.50
Then you subtract 1.00 from both sides:
2p = 0.50
And you divide 2 from both sides:
p = 0.25
Getting you the answer of:
The pencil costs $0.25

Hope this helps! :)

Answers:

The pencil costs $0.25

The ruler costs $1.25

Explanation:

Assume that the cost of the pencil is x and that the cost of the ruler is y.

We are given that:

1- The total cost is $1.5

This means that:

x + y = 1.5 ...........> equation I

2- The ruler costs $1 more than the pencil

This means that:

y = x + 1 ............> equation II

Substitute with equation II in equation I and solve for x as follows:

x + y = 1.5

x + x + 1 = 1.5

2x = 1.5 - 1

2x = 0.5

x = (0.5)/(2) = 0.25

This means that:

cost of pencil = x = $0.25

cost of ruler = 1 + 0.25 = $1.25

Hope this helps :)

what is the least number that must be added to 2000so that the sum is devided exactly by 10,12,16 and 18

Answers

Answer:

Number must be added = 160

Step-by-step explanation:

First we need to find LCM of 10,12,16 and 18.

LCM of 10,12,16 and 18 = 720

Let us write the multiplication table of 720

      720, 1440, 2160, 2880 .................

We need to find the least number that must be added to 2000 so that the sum is divided exactly by 10,12,16 and 18 .

The number greater than 2000 is 2160.

Difference = 2160 - 2000 = 160

Number must be added = 160

10 = 2.5  ; 12 = 2².3 ; 126 = 2^4 ; 18 = 2.3²
the least common multiple is 2^4.5.3 = 240
then we have (2000 + x) = 240.k
2000 = 240.8 + 80 and 240.9 = 2160
then x = 160 

A submarine descends 45 meters on its first dive. It then descends another 40 meters. What integer represents the total descent in meters for the two dives?

Answers

Answer:

85 meters in total

Step-by-step explanation:

The submarine first descended 45 meters and then 40 meters

45+40=85