Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee.

Lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. In her work, she substituted an expression for one variable and solved for the other. This resulted in the equation 75 = 75. What can Lian conclude?

One gym charges $75 per month.
Each gym charges $75 per month.
Both gyms charge the same monthly rate and the same membership fee.
Both gyms charge the same monthly rate, but not the same membership fee.

The transformations that take the graph of f(x)=e^x to f(x)=(-e^x)-2 are a reflection about the x-axis and also by a vertical shift downward by 2 units.

The interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

In this question we have an expression that combines polynomic and exponential expression, whose variable x cannot be cleared by analytical approaches, but by numerical and graphical methods. Herein we decide to find the interval by graphical methods, using a graphing tool:

First, write the function in explicit form (f(x) = 3 · x - eˣ). Second, find the two points such that the function goes through the x-axis (horizontal axis). Third, define the set of possible x-values by interval notation such that y > 0.

Then, the points of the function that are on the x-axis are (x₁, y₁) = (0.6191, 0) and (x₂, y₂) = (1.5121, 0). Then, the interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

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The value of given expression 7 raised to the power 2 divided by 7 raised to the power 3 is 1 / 7

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Given expression,

7 raised to the power 2 divided by 7 raised to the power 3

7 ^ 2 / 7 ^ 3

The value of a ^ m / a ^ n  = a ^ m-n

= 7 ^ (2-3)

= 7 ^ ( -1)

= 1 / 7 .

Therefore, The value of given expression 7 raised to the power 2 divided by 7 raised to the power 3 is 1 / 7

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Answer:

The equation is y = 50 + 25x. The slope is the additional cost per hour, and the y-intercept is the cost of the service call to appear at the house.

Answer:

(3) $185

Step-by-step explanation:

12,480 - 3,600 = 8,880

8,880 / 48 = 185

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

∠Y = 104°

Step-by-step explanation:

vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°

Sum of interior angles of a triangle = 180°

⇒ ∠SYA + 56 + 48 = 180

⇒ ∠SYA = 76°

Angles on a straight line add up to 180°

⇒ ∠Y + ∠SYA = 180°

⇒ ∠Y + 76 = 180

⇒ ∠Y = 104°

Answer:

You can either write it as a whole number: 4 5/6

Or as 29/6

Step-by-step explanation:

Step-by-step explanation:

first step : convert both terms into real fractions (not mixed numbers).

second step : bring both fractions to the same denominator (bottom part).

third step : perform the addition.

1.

2 2/3 = (2×3 + 2)/3 = 8/3

2 1/6 = (2×6 + 1)/6 = 13/6

2.

we bring both fractions to .../6.

remember, we need to do the same multiplication for the numerator and the denominator to keep the overall value of the fraction unchanged.

to get from 3 to 6 we need to multiply by 2.

so,

8/3 = 8/3 × 2/2 = 16/6

3.

16/6 + 13/6 = 29/6

if you want to convert this to mixed numbers, this would be

29/6 = (4×6 + 5)/6 = 4 5/6

Answer:

Step-by-step explanation:

\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)

Answer:

X = 2 and X = -8

Step-by-step explanation:

X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10

X2 + 6X -16 =0

here we need to find if there are two numbers there sum is +6 and there product is -16.

here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8

-2+8= +6

-2*8= -16

( X - 2 ) * ( X + 8 ) =0

X - 2 = 0 ...... when -2 pass equality sign it will become+2

X = 2

X + 8 =0 ..... when +8 pass equality sign it will become -8

X = -8

Answer:

A. no, the sale price is about 60% of $65 or $39. Because $38 is less than $39, you do not have enough money.

Step-by-step explanation:

Given parameters:

   Discount on sales  = 40%

    Amount with me = $38

    Original sales price = $65.99

Unknown:

Will you have enough money to buy the item = ?

Solution:

To solve this problem, let us find the discount amount on the selling price;

      = \(\frac{40}{100}\)   x  65.99

      = $26.39

So, the price of the item now = Original sales price - discount amount

                                                 = $65.99 - $26.39

                                                 = $39.6

$39.6 can also be derived from 60% of $65.99

This amount is more than amount at hand.

Answer:

Step-by-step explanation:

10 feet............................6 seconds

?......................................45 seconds

? feet=10*45/6=75 feet

75 feet in 45 seconds

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer:

3 1/11

Step-by-step explanation:

Elleven goes into thirty three 3 times, so thats why theres a 3. 11 x 3 = 33, and we tried to get to 34. That leaves excess of 1, and we keep the denominator of 11.

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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Answer:

Step-by-step explanation:

7       1          x         3       1

        2                             2

= 105        =      26     1

      4                          4

Result in decimals: 26.25

Calculation steps:

7     1         x        3      1

      2                          2

=  15    x    7

   2           2

=  15 × 7

    2 × 2

=  105             =  26     1

     4                            4

Step-by-step explanation:

(10+5)³-1 = 3375-1 = 3374.

In arithmetic progression, 9,15,21,27,33,39 is a₅ and    a₆ .

What is arithmetic progression?

a₁ = 9

a₂ = 15

a₃ = 21

Notice that a₂ - a₁ = 6 and a₃ - a₂ = 6

We can deduce that aₙ₊₁ = aₙ + 6

We can test this on the 4th term : a₄ should equal  21  + 6 = 27

Since this checks out we can say that the sequence is an arithmetic progression with a common difference of 6.

a₅ = 27 + 5 = 33

and

  a₆ = 33 + 6 = 39

7,0,-7,-14

find the common difference by substracting any term in the sequence from the term that comes after it.

 a₂ - a₁  = 0 - 7 = -7

 a₃ - a₂ = -7 - 0 = -7

 a₄ - a₃ = -14 - -7 = -7

the difference of the sequence is constant and equals the difference between two consecutive terms.

  d = -7

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Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

Answer:

The answer is x>-4     (brainiest please)

Step-by-step explanation:

Add 38 to both sides

-6x-36+36>-12+36

-6x>24

multiply both side by -1

(-6x)(-1)<24(-1)

6x>-24

simplify

6x/6<24/6

x<-4

The meaning when LA Lakers had a PCT of 58.3 in the 2020-21 season is that the percentage of winning is 58.3%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

From the information given, the LA Lakers had a PCT of 58.3 in the 2020-21 season. It should be noted that PCT simply means percentage. Therefore, it denotes 58.3 percent.

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Complete question

The LA Lakers had a PCT of 58.3 in the 2020-21 season. What does this mean in practical terms

He isn't lucky nor unlucky

Step-by-step explanation:

If The owner Wins every round/time he has to be skilled if he's winning for several hours

Here, we must use one sample z test for the first question.

Since the population standard deviation is known in this instance. According to the new protein powder firm, it takes an average of 7 days to add 10% more muscle, with a population standard variation of 5.5 days.

Here, keep in mind that the t test should be used if the population standard deviations are unknown and the z test should be used if the population standard deviations are known.

The second question requires that we test the hypothesis to determine whether the MoCA test differs between the days before and after several exposures to a new tool.

Here, a z-test with two samples was utilized. Once the hypothesis has been stated, the z Statistic

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Answer:

y=−1/7

for the picture is y=-57/7

Step-by-step explanation:

Switch:sides

-7y+7=8

subtract 7 from both sides

-7y=1

divide both sides by -7

y=−1/7

multiply both sides by (y+7)

8/y+7(y+7)=-7(y+7)

simplify 8=-7(y+7)

flip

-7(y+7)=8

divide both sides by -7

y+7=-8/7

subtract 7 from both sides

and simplify

y=-57/7

Answer:

567 ghbvc. the high but

Step-by-step explanation:

solve accordingly to the picture

hope it helps

Answer:

if the 3 is an exponent, then it is 4 bc 4 to the power of 3 is 64

Step-by-step explanation:

x3=64

Step 1: Take cube root.

x=(64)(13)

x=4

Answer:

x=4

Answer:

-15

Step-by-step explanation:

When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.

f(g(-3))

means find g(-3) first, then put that answer into f.

g(x) = x - 7

g(-3) = -3 - 7

g(-3) = -10

We found g(-3) is -10, so now put -10 into f.

f(x) = 2x + 5

f(-10) = 2(-10) + 5

= -20 + 5

= -15

Answer:

B is the correct answer

Step-by-step explanation:

You have to do 6b- 1b 5b

-2a+5a= 3a

9