solution set of 2x + y < 4

Answer:

1 ticket equals to $2.50. Since x number of tickets are sold, the total amount raised will be $2.50 multiply by x, which is 2.5x. Since y represents the total amount of money raised, 2.5x equals to y

Answer:

The answer is B.

e^a=55

Taking log on both sides,

lne^a = ln 55

a lne= ln55

a= ln55.

The value of the expression [tex]e^a = 55[/tex] in the logarithmic equation is equivalent to (ln 55=a).

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]a^c =b[/tex]

can be written as

[tex]\rm{log_ab=c[/tex]

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

We solve the value of this expression using the basic logarithm,

[tex]\rm{log_ab=c[/tex]

Similarly,

[tex]\rm{log_e55=a[/tex]

we know that the log base of exponent is natural log, therefore,

[tex]\rm ln\ 55=a[/tex]

Therefore, the value of the expression [tex]e^a = 55[/tex] in the logarithmic equation is equivalent to (ln 55=a).

Learn more about Logarithm:

https://brainly.com/question/163125

Answer:

35

Step-by-step explanation:

We know that the general formula for arithmetic sequence is  

a_n=a_0+(n-1)d

Using the general formula, we can make equations for 6th term and 9th term

a_6=a_0+(6-1)d

a_6=a_0+5d

101=a_0+5d Eqn 1

For 9th term

a_9=a_0+(9-1)d

a_9=a_0+8d

83=a_0+5d   Eqn 2

Subtracting equation 2 from equation 1

101-83=a_0+5d-(a_0+8d)

18=a_0+5d-a_0-8d  

18=-3d

d= -6

Putting d=-6 in Eqn 1, we get:

101=a_0+5(-6)

101=a_0-30

a_0=101+30

a_0=131

Now that we have values of a_0, and d we can find the 17th term

a_17=a_0+(17-1)d

=131+(16)(-6)

=131-96

=35

So the 17th term is 35 ..

Answer:

∠2 = 18°

Step-by-step explanation:

∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2

∠WXZ = 3∠2 + ∠2, that is

72 = 4∠2 ( divide both sides by 4 )

18 = ∠2, that is

∠2 = 18°

Answer:

C. parallel lines

Explanation:

If two straight lines be at right angles to the same plane, the straight lines would be parallel.

Hi,

x - 3 = 7

x = 7 + 3

x = 10

Answer:

D. 21

Step-by-step explanation:

Hope I helped!

Your answer is for this question is 21

1.) To find 70% percent of 30 you simply multiply both. To do that you gotta first change the percent into a decimal by moving the point two types to the left.

70 = 70.0

2.) As you can see we change the percent into a decimal.

70% = .70

3.) Now we can multiply 30 by .70 which will give us an answer of 21.

Hope this helps!!!

Please Mark as Brainliest!!!

Answer:

An imaginary number is a number that does not exist pretty much. It is usually written as "i", and, when squared = -1. However, you cannot root -1 to get a number, so i is the term that is given to be the answer.

Note:

i² = -1

~

Answer:

  x = 1

Step-by-step explanation:

The graph is shown below. The solution is x = 1.

___

√x +2 = 3x . . . . given

√x = 3x -2 . . . . . subtract 2

x = 9x^2 -12x +4 . . . . square both sides

9x^2 -13x +4 = 0 . . . . subtract x to put in standard form

(x -1)(9x -4) = 0 . . . . . factor the quadratic

x = 1 . . . or . . . x = 4/9 . . . . values of x that make the factors zero

The "solution" x = 4/9 is extraneous, in that it does not satisfy the equation. It would correspond to the intersection of the line with the negative branch of the square root function. That is, it does satisfy -√x +2 = 3x.

The solution is x=1.

Answer:

Option 1 is correct

Step-by-step explanation:

Given expression is:

[tex](3x^3y^{-2})^2\\[/tex]

Putting the values

[tex]= [3 (-2)^3 (5)^{-2}]^2\\We\ have\ to\ make\ the\ powers\ positive\\= [{\frac{3(-2)^3}{5^{2}} }]^2\\= \frac{[{3(-2)^3}]^2}{(5^2)^2} \\Applying\ outer\ power\\= \frac{3^2(-2)^6}{5^4} \\[/tex]

Hence option one is correct ..

[tex]77500[/tex]

In this case, the digit in the hundredths place is a [tex]5[/tex].  We need to take a look at the next digit to the right, which is a [tex]4[/tex].

Since it is [tex]4[/tex] or less, we can simply replace the [tex]4[/tex] and the rest of the digits to the right with [tex]0[/tex]s to round it.

If the [tex]4[/tex] was [tex]5[/tex] or more, we would round the [tex]5[/tex] up to [tex]6[/tex] and replace the remaining digits to the right with [tex]0[/tex]s.

Answer:

77500

Step-by-step explanation:

To round something to the nearest hundred, we first look to the 10s digit. It is 4. Since 4 is less than 5, then we keep the same hundreds place. So we get 77500.

Answer:

29.74 degrees.

Step-by-step explanation:

Tan(theta) = opposite / adjcent.

opposite = 8

adjacent = 14

Tan(theta) = 8/14

Tan(theta) = 0.5714

theta = tan^-1(0.5714)

theta = 29.74 degrees

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = [tex]e^{2x}[/tex] - 4

let f(x) = y

y = [tex]e^{2x}[/tex] - 4

Switch x and y and solve for y, that is

x = [tex]e^{2y}[/tex] - 4 ( add 4 to both sides )

x + 4 = [tex]e^{2y}[/tex]

Take the ln of both sides

ln(x + 4) = ln [tex]e^{2y}[/tex] = 2y [tex]ln_{e}[/tex] = 2y

Divide both sides by 2

y = [tex]\frac{ln(x+4)}{2}[/tex], that is

[tex]f^{-1}[/tex] (x) = [tex]\frac{ln(x+4)}{2}[/tex]

Answer:

a) -5/2.

Step-by-step explanation:

Try substituting (-5/2) into f(x):

6(-5/2)^4 + 5(-5/2)^3 - 33(-5/2)^2 - 12(-5/2) + 20

= 234.375 + -78.125 - 206.25 + 30 + 20

= 0.

So it is -5/2.

Answer:

a) [tex]x= -5/2[/tex]

Step-by-step explanation:

We substitute in the function the values given in the options to confirm whether they are roots or not

a) [tex]x= -5/2[/tex]

the function will be:

[tex]f(-\frac{5}{2} )=6(-\frac{5}{2} )^4 + 5(-\frac{5}{2} )^3-33(-\frac{5}{2} )^2-12(-\frac{5}{2})+20[/tex]

simplifying:

[tex]f(-\frac{5}{2} )=6(\frac{625}{16} )-5(\frac{125}{8} )-33(\frac{25}{4} )+30+20[/tex]

[tex]f(-\frac{5}{2} )=234.375-78.125-206.25+50\\f(-\frac{5}{2} )=0\\\\[/tex]

since the function when [tex]x= -5/2[/tex] is equal to zero, this is an actual root of f(x).

Answer:

no it is not a function

Step-by-step explanation:

it has no sequence and in order for a table to be a function it needs a sequence. look at X it goes from 1, 5, 7, then back down to 2 it has no correlation.

Answer:

no its not a function and ill explain why

Step-by-step explanation:

it has no sequenceand in order for a table to be a functionit needs a sequence. look at Xit goes from 1, 5, 7, then back down to 2 it has no correlation.

Answer:

B) 8 over 35 plus 8 over 35 equal 64 over 1225

Step-by-step explanation:

There are 8 yellow tiles out of 35 tiles.

Its not A because she replaces.

Its not C or D because you would only add when it says and

Answer:

8 over 35 multiplied by 8 over 35 equal 64 over 1225

Step-by-step explanation:

I got it right on my test. Give the other person brainliest.

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = y

x + y = 24

7x - y = 16                     Add these two equations      

8x = 40                          Divide by 8

8x/8 = 40/8

x = 5

The smaller number will be 5

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

5 + y = 24

y = 19

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

Proof

7*5 - 19 = 16

35 - 19 = 16

Answer:

the ninth root of 3

Step-by-step explanation:

3 to the 2 over 3 power, to the 1 over 6 power rewritten as a radical expression is ''the ninth root of 3''.

Hope this helps!

Answer:

kk

Step-by-step explanation:

Answer:

Answer:

X

The given statement is true.

Step-by-step explanation:

An inverse function can be defined as  a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x.

Examples are x+2 and x-2

WE get f(x) = x+2

Apply g(x) = g(f(x))=g(x+2)

=x+2-2=x

Thus by applying composiiton g f or fg in any order we get the answer as x

THis is the property of any inverse function

Step-by-step explanation:

Answer:

X

Step-by-step explanation:

It was corrected on E2020.

Answer:

$3.80

Step-by-step explanation:

We are given a graph showing the location of 3 houses where you had to do lawn work today, with the distances from your house.

Given that one truck gets 8 miles per gallon of gasoline and gas costs $1.52 per gallon, we are to find the total cost of the gas used.

Total distance = 7 + 3 + 4 + 6 = 20 miles

Gallons of gas used = 20 / 8 = 2.5

Total cost of gas used = 2.5 * 1.52 = $3.80

Answer:

The correct answer option is E) No solution.

Step-by-step explanation:

We are given the following quadratic equation which we are to solve for x when the value of y is 0:

[tex]y = x ^2+ 6x +12[/tex]

[tex]x ^2+ 6x +12=0[/tex]

Using the quadratic formula since there are no factors:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac }}{2a}[/tex]

Substituting the values in the formula to get:

[tex]x=\frac{-6 \pm \sqrt{6^2-4(1)(12) }}{2(1)}[/tex]

[tex]x=-3+\sqrt{3}i[/tex] or [tex]x=-3-\sqrt{3}i[/tex]

There are no real number solutions to this quadratic equation.

Answer:

subtract 3 from both sides

Step-by-step explanation:

Given

2x + 3 = 11 ( subtract 3 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

$15.45 (Answer F)

Step-by-step explanation:

Total expenditure was ($1.75/lb)(4.2 lb) + ($2.25/lb)(3.6 lb) = $15.45

Answer:

(a)(b²)√a

Step-by-step explanation:

√(a³b⁴)

Root both variables. Note that pairs of the same variables can be brought out of the root.

√(a³) = √(a * a * a) = a√a

√(b⁴) = √(b * b * b * b) = b²

(a)(b²)√a is your answer.

Answer:

-y(7+y) =0

Step-by-step explanation:

-7y - y^2 = 0

Factor out a -y

-y(7+y) =0

Using the zero product property

-y =0  and 7+y =0

y=0     7-7+y = 0-7

y=0    y = -7

Answer:

C

Step-by-step explanation:

Given the similarity ratio, then the

linear ratio of sides = linear ratio of perimeters.

Hence

ratio of perimeters = [tex]\frac{9}{4}[/tex]

The value of x that is not in the domain is x = 7.

which of the following values of X is not in the domain of f(x)?

Remember that in math we can't divide by zero, so any value that makes the denominator equal to zero can't be in the domain.

Here the rational function is:

f(x) = (x + 3)/(x - 7)

When x = 7, the denominator becomes zero, so x = 7 is not in the domain.

Because line BD goes through the center of the circle Angle A is a right angle which equals 90 degrees.

Set the equation for A to equal 90 and solve for x:

3x-6 = 90

Add 6 to each side:

3x = 96

Divide both sides by 3:

x = 32

Now we have a value for x , use that to solve for angle b:

B = x +9 = 32 + 9 = 41 degrees.

Now we know A and B, we can solve for D.

The three inside angles of a triangle need to equal 180.

D = 180 - 90 - 41 = 49 degrees.

The answer is D) 49