Negation of square root is never considered a number while rest any number comes under the category of the Real number
The Numbers here are divided into two categories: Real and Imaginary. In addition to being divided into Rational and Irrational numbers. In the category of rational numbers, fractions and integers fall under the category. The decimal numbers which are unconvertable to the fraction form are known as irrational numbers. This means that here in the question √-15 = 15i(where i = √-1, the imaginary number)
Hence √-15 is not considered a number while -1.96312... comes under the category of a Real Number.
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let f(x)= 4x-6 and g(x)= 3x-5. find f(x)•g(x)
Answer:
12x^2-38x+30
Step-by-step explanation:
4x−6)(3x−5)
=(4x+−6)(3x+−5)
=(4x)(3x)+(4x)(−5)+(−6)(3x)+(−6)(−5)
=12x2−20x−18x+30
=12x2−38x+30
Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes. After about how many hours does the company break even? Note: The phrase break even refers to the value where the two functions are equivalent.
Answer:
5 hours
Step-by-step explanation:
Given
[tex]y = 420 + 72x[/tex] --- Revenue
[tex]y = 24x^2 + 180[/tex] --- Overhead cost
Required
Determine the hours for break even
To do this, we simply equate both expressions as follows:
[tex]24x^2 + 180 = 420 + 72x[/tex]
Collect Like Terms
[tex]24x^2 - 72x + 180 - 420 = 0[/tex]
[tex]24x^2 - 72x -240 = 0[/tex]
Divide through 24
[tex]x^2 - 3x - 10 = 0[/tex]
Expand:
[tex]x^2 -5x + 2x -10 = 0[/tex]
Factorize:
[tex]x(x -5) + 2(x -5) = 0[/tex]
[tex](x + 2)(x -5) = 0[/tex]
[tex]x + 2 = 0\ or\ x - 5 = 0[/tex]
[tex]x = -2\ or\ x = 5[/tex]
But x can't be negative because it represents time.
So, x = 5 hours
find the lowest common denominator and solve
21 1/3 - 14 1/5
Answer:
107/15
Step-by-step explanation:
21 1/3 = 64/3
14 1/5 = 71/5
64/3 - 71/5
lowest common denominator is 15
= 5(64/3) - 3(71/5)
= 320/15 - 213/15
= 107/15
HELP HELLLLLLLLLLLLLLLLLLP URGENT FASSSSSST
Answer:
I do not know
Step-by-step explanation:
Use the following function rule to find
Answer:
what rule my screen is white
enter your answer and show all the steps that you use to solve this problem in the space provided. −→ g i bisects ∠ d g h so that m ∠ d g i is x − 3 and m ∠ i g h is 2 x − 13 . find the value of x.
So the value of x is 10
Given that line GI bisects angle DGH so that the measurement of angle DGI is x-3 and the measurement of angle IGH is 2x-13.
Since GI bisects that means the angle is cut into 2 equal angles or
DGI = IGH
Bisect means to cut into two even halves. If you bisect a 90 degree angle you create two 45 degree angles,
So by bisection
x - 3 = 2x - 13
Solving for x
13 - 3 = 2x - x
10 = x
or
x = 10
Therefore the value of x is 10.
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20882
please help me asap!
Answer:
It means that it takes 2/3 hours to mow 1 lawn
Step-by-step explanation:
The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?
A. 28%
B. 12%
C. 70%
D. 30%
Answer:
its B.12%
Step-by-step explanation:
HELP ME ASAP I HAVE SO MANY QUESTIONS THAT WILL SAY THIS BUT HELP MEEE!!!(timed!!)
r. Parks spent $96.30 on 3 hats and 6 key chains.
a. If each hat cost $15.50, how much did each key chain cost?
Each key chain costs $
.
Question 2
b. Claire said each chain costs $0.83. Why is her answer unreasonable? Explain.
Answer:
1. $8.30
Step-by-step explanation:
so 3 hats were purchased and each cost 15.50 so
15.50*3=46.50
and the rest of the 96.30 is 6 keychains so
96.30-46.50=49.80
and there is 6 keychains
49.80/6=8.30
Each key chain was $8.30
Claire's answer is unreasonable because when we got the price of the keychains all together in Claire's mind the total for the keychains would be $4.98, which we clearly got the total for the keychains at $49.80.
The cost of each keychain is $5.79 which parks bought.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Parks spent $96.30 on 3 hats and 6 key chains and the cost of each hat is $15.50 and assuming the cost of each key chain to be 'x'.
Therefore, The expression that represents this context is,
3×15.50 + 6x = 96.30.
6x = 96.30 - 46.50.
6x = 49.8.
x = 49/8.6.
x = 5.79.
So, The cost of each key chain is $5.79.
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In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x)=log(x) to achieve the graph of g(x)=log(−3x+9)+4.
Answer:
GHOST TOWN a_a
Step-by-step explanation:
HELLO
The graph represents f(x) = x + 3
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 1) to (negative 4, negative 1). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (1, 5) to (2, 5).
What is f(−2.2)?
-2
0
1
2
Answer:
The answer is C, 1.
Step-by-step explanation:
The answer is simple. You round up to the nearest whole number (cant be a negative,) and it can't be a 0. Therefore, you get 1.
find the value of each variable
Answer:
x=67 y=113 x=52
Step-by-step explanation:
85+28= 113
180-113=67
67= x
67+28=95
95+85=180
y= 28+ 85 =113
113+15= 128
180-128=52
52=x
mathamatics 30 points last question for the day
Answer: 15,048
Step-by-step explanation:
Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.
He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?
Answer:
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Step-by-step explanation:
Pencils = 20
Pens = 80
Markers = 55
a) What is the largest number of bundles he could create without any left over?
Find the highest common multiple of 20, 80 and 55
20 = 1, 2, 4, 5, 10, 20
80 = 1, 2, 4, 5, 8, 10, 16, 20......
55 = 1, 5, 11, 55
The highest common multiple of 20, 80 and 50 is 5
Pencils = 20 / 5
= 4
Pens = 80 / 5
= 16
Markers = 55 / 5
= 11
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Solve for
9.2 +4 = 103
what is [tex]\frac{x}{3} +10=x+2[/tex]
[tex]\frac{x}{3}+10=x+2[/tex]
Multiply whole equation by 3 to get ride of the denominator.
[tex]\frac{x}{3}(3)+10(3)=x(3)+2(3)\\x+30=3x+6[/tex]
[tex]30-6=3x-x[/tex]
Move x to the another side and subtract as 6 to another side and subtract.
[tex]24=2x[/tex]
Then we move 2 to divide 24.
[tex]\frac{24}{2}=x\\x=12[/tex]
Therefore, the answer is x = 12.
Please help! I’ll return you with a brainlist and 5 stars.
Answer:
Step-by-step explanation:
It is 6.5 cause if you use the mathematical rule of perimeter
Answer:
9.375
Step-by-step explanation:
please help me asap!!
Answer:
28/3
Step-by-step explanation:
We see that the triangles are simalar to eachother, so we can set up this ratio:
x/(8+x) = 7/13
x = 56/13 + 7x/13
13x = 56 + 7x
6x = 56
x=56/6=28/3
A $7.06 toy is on sale for 15% off if eve has a 25% off coupon how much will the you cost?
Answer:
Step-by-step explanation:
First you determine how much 15% of $7.06 is. ($1.06)
Then you subtract that from $7.06 which is $6.00.
Then you determine how much 25% of $6.00 is. ($1.50)
Then you subtract that off from $6.00, which gives you $4.50.
Final answer: $4.50
у = 4х – 1
у = 2х – 5
How do you solve this, by using substitution?!
Answer:
x = -2, y = -9
Step-by-step explanation:
You can substitute the value of y into y. The first equation shows that y is equal to 4x -1, so we can switch this with the y in the second equation.
y = 2x -5 will become
4x - 1 = 2x - 5
Add 5 to both sides
4x + 4 = 2x
Subtract 4x from both sides
4 = -2x
Divide both sides by -2
-2 = x
Now we plug this number into an equation to find y.
y = 4x - 1 becomes
y = 4(-2) - 1
Simplifying it, we have:
y = -8 - 1
y = -9
Question 2 (1 point) Cynthia uses the chart below to find the cost of shipping a package. Write an expression that Cynthia can use to find the cost for a package that weighs w pounds? Shipping Cost Weight (in pounds) Cost (in dollars) 1 6.50 2 13.00 3 19.50 6.50 6.50 w W + 6.50 6.50 - W
Answer:
6.50w
Step-by-step explanation:
Given that :
Weight ________ Cost ($)
1 ______________6.50
2 _____________ 13.00
3 _____________ 19.50
Cost of package that weighs w pounds
If one pound = 6.50
2 pounds = 13.0
Then, the cost per pound = $6.50
Hence, cost of package that weighs w pounds will be ;
$6.50 * w = $6.50w
When loaded with bricks, a lorry has a mass of 11600kg. If the mass of the bricks is three times that the mass of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
lorry + bricks = 11600kg
bricks = 3(mass of empty lorry)
lorry mass is x
there for bricks = 3x
x+3x = 11600
4x =11600
x= 2900kg
mass of bricks = 3(2900)
=8700kg
I need help again! :)
Answer:
Fraction: x= 4/5
Decimal: x= 0.8
I will give out brainliest noooooo spams ok
Answer:
0.077
Step-by-step explanation:
Marco can divide 77 by 1000 to convert it to dekagrams
There are 0.077 decagrams per 77 centagrams
Layla opened a savings account and deposited 700.00 as principal the account earns 8%interest compounded annually what is the balance after 6 years
Answer:
The balance after 6 years is $1110.812026
Step-by-step explanation:
The rule of the compound interest is A = P[tex](1+\frac{r}{n})^{nr}[/tex], where
A is the new amountP is the initial amountr is the interest rate in decimaln is the number of periodst is the time in years∵ Layla opened a savings account and deposited $700.00 as principal.
∴ P = 700
∵ The account earns 8% interest compounded annually
∴ r = 8% = 8 ÷ 100 = 0.08
∴ n = 1 ⇒ compounded annually
∵ The time is 6 years
∴ t = 6
→ Substitute these values in the rule above
∵ A = 700[tex](1+\frac{0.08}{1})^{1(6)}[/tex]
∴ A = 700[tex](1.08)^{6}[/tex]
∴ A = 1110.812026
∴ The balance after 6 years is $1110.812026
Noel’s brother is 3 times as old as Noel. The sum of their ages is less than 20. What’s the oldest age that Noel could be?
Identify:
Strategize:
Set up:
Solve:
Check
please help meeee!!!!
Answer:
The oldest Noel can be is 6
Step-by-step explanation:
6x3=18
18<20
Noel: 6
Noels' brother: 18
-4 l3x-5 l +11=-13
The lines are for absolute value
Please help and explain if possible
Answer:
my Ans is 2 1 0 6 3 = 0
Step-by-step explanation:
is this Ans correct
A Student bought concert tickets online. The total cost, c, in dollars of t tickets can be found by using the function below
c=12.45t+7.20
If the student spent a total of $57 on tickets, how many tickets did they buy?
Answer:
4
Step-by-step explanation
57-7.20=49.8, 49.8/12.45 = 4
Answer: 4
Step-by-step explanation:
c= 12.45t +7.20
57 = 12.45t +7.20
Solve for t
57 -7.20 = 12.45t
49.8 =12.45t
49.8 / 12.45 = t
t = 4
Two players sangeta and reshma play a tennis match . It is known that the probability of sangeeta winning the match is 0.62 what is the probability of reshma winning the match ?
Answer:
0.38%
Step-by-step explanation:
since if u take 1 whole - by 0.62 it equals = 0.38%
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26% of a value is £65 work out the original value
Answer:
£250
Step-by-step explanation:
65 divided by 26 and multiplied by 100