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lara31 [8.8K]
3 years ago
14

Is 27.5 a rational number

Mathematics
1 answer:
laiz [17]3 years ago
6 0
Yes because it has an odd number on the end.
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Use the quadratic formula to solve the equation.–x2 + 5x = 3
Karo-lina-s [1.5K]

Given the equation - x² + 5x = 3, which can be rewritten as:

- x² + 5x - 3 = 0

where a = -1, b = 5 and c = -3.

Quadratic formula:

\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}

Now, we just replace the values of a, b and c on the equation above.

\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}

=

\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}

4 0
1 year ago
Suppose that E and F are two events and that N (E and F) = 260 and N(E) = 630. What is P(F|E)​?
Sveta_85 [38]

Answer: 0.4127

Step-by-step explanation:

The probability formula to find p(F/E):

p(F/E)= N(E n F) / N(E)

p(F/E)= 260 / 630

p(F/E) = 0.4127

5 0
3 years ago
Abby and Andrew are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of
Slav-nsk [51]

Answer:

$14 for the shiny wrapping paper

Step-by-step explanation:

6x + 4y = 104

8x + 12y = 232

x=8 y=14

4 0
3 years ago
Tickets for a play cost $3 for children and $10 for adults. A group of 25 people paid a total of $201 for tickets to the play. H
lidiya [134]

Answer: There were 7 children

Step-by-step explanation:

Let's use <em>x </em>to represent the children and <em>y </em>to represent the adults.

We know they combine to make a group of 25 people so x+y=25

We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201

I will solve by substitution.

Solve for y in the first equation

x+y=25\\x-x+y=25-x\\y=25-x

Sub in our value for y into the other equation and solve for x

3x+10y=201\\3x+10(25-x)=201

Step 1) Simplify

3x+250-10x=201\\-7x+250=201

Step 2) Subtract 250 from both sides

-7x+250-250=201-250\\-7x=-49

Step 3) Divide both sides by -7

\frac{-7x}{-7} =\frac{-49}{-7}\\x=7

8 0
3 years ago
Read 2 more answers
Given; g(x)= 8x - 2<br> What is the value of g⁻¹(30)
KiRa [710]

Answer:

g^{-1}(30) = 4

Step-by-step explanation:

g(x) = 8x -2

Let g(x) = y

y = 8x -2  (note: y is the range and x is the domain, we need to rearrange to make x the range and y the domain instead)

y + 2 = 8x

x = (1/8) (y + 2)

hence the inverse of g(x) is g^{-1}(y) = (1/8) (y + 2)

g^{-1}(30) = (1/8) (30 + 2) = 4

5 0
3 years ago
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