If s(x) = x - 7 and f(x) = 4x²-x + 3, which expression is equivalent to (t*s) (x)?

Answer:

r = -140

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.  Not sure if this was the answer you were looking for.

The equation of a parabola whose vertex is (4, −3); and passes through point (5, 2) is given by y = 5(x - 4)² - 3

Equation of a parabola can be written in the form  

y = a(x - h)² + k

and the vertex is v(h, k) hence the equation can be rewritten to be

y = a(x - h)² + k

vertex (4, −3)

y = a(x - 4)² - 3

this passes through point  (5, 2) substituting to solve for a gives

y = a(x - 4)² - 3

2 = a(5 - 4)² - 3

2 = a * 1² - 3

2 + 3 = a

a = 5

a is solved to be 5, hence the equation is y = 5(x - 4)² - 3

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Answer:

What is the question?

Step-by-step explanation:

1) The composite function is f ° g (x) = x / (2 + x). The domain of the composite function is all real numbers except - 2 and the range of the composite function is all real numbers except 1.

2) The composite function is g ° f (x) = 2 · x + 1. Both the domain and the range of the composite function is all real numbers.

Let a, b be functions, there is a composition when the independent variable of one of the functions is substituted by the other function. For instance,

a ° b (x) = a [b (x)]

The domain of a function is the set of x-values such that the function exists, whereas the range of it is the set of y-values.

If we know that f(x) = 1 / (2 · x + 1) and g(x) = 1 / x, then the composite functions and their domains are:

f ° g (x)

f ° g (x) = f [g (x)]

f ° g (x) = 1 / [2 · (1 / x) + 1]

f ° g (x) = 1 / [(2 + x) / x]

f ° g (x) = x / (2 + x)

The domain of the composite function is all real numbers except - 2 and the range of the composite function is all real numbers except 1.

g ° f (x)

g ° f (x) = g [f (x)]

g ° f (x) = 1 / [1 / (2 · x + 1)]

g ° f (x) = 2 · x + 1

Both the domain and the range of the composite function is all real numbers.

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we can take the recipricol

so  

(6/7)x2

=12/7

hope this helps :DDDD

brainliest plsss

Answer:

=6/7*2/1

=12/7

=1.85... is your answer. Thanks.

Given the shown trangle

where the angle C= 45°

Side AB (Opposite) = 9

side BC(Adjacen)= ?

then

Correct answer is

option C

9

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

Emily receives $1,750 less after the shift

Step-by-step explanation:

The probability that Machine A filled a randomly selected bottle, given that it is defective, is 2/3 or approximately 0.67.

Let's define the subsequent events:

A: Machine A filled the bottle.

A': The bottle wasn't mechanically filled A (i.e. filled by machine AC).

D: the bottle is defective.

The chance that a randomly selected bottle was filled by machine A, assuming that it is broken, is known as P(A|D). The Bayes theorem provides us with:

P(A|D) = P(D|A)P(A) / P(D)

The following three terms on the right-hand side must be calculated:

P(D|A): the probability that a bottle is flawed given that machine A filled it. 10% of the bottles filled by machine A are reported to be faulty. so P(D|A) = 0.1.

P(A): the previous probability that machine A filled a bottle. There are just two machines, both of which fill bottles., P(A) = P(A') = 0.5.

P(D): the slight possibility that a bottle is flawed. The law of total probability can be used to calculate this:

P(D) = P(D|A)P(A) + P(D|A')P(A') = 0.1 x 0.5 + 0.05 x 0.5 = 0.075

Now we can plug in the values:

P(A|D) = 0.1 x 0.5 / 0.075 = 2/3

Therefore, the probability that Machine A filled a randomly selected bottle, given that it is defective, is 2/3 or approximately 0.67.

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Answer:

less than

Step-by-step explanation:

It is smaller on the number line. Negative numbers are smaller than positive numbers

3 combinations:

3 quarters and 6 dimes

5 quarters and 1 dime

1 quarter and 11 dimes

1) Remember that a dime corresponds to $0.10 and a quarter to $0.25. And the value we want to find is $1.35

2) As we can see the last digit on $1.35 is 5 then we can infer that we're going to need an odd number of quarters ($0.25). Also, notice that we need whole numbers for the quantities of each coin. In other words, multiples of 0.10 and 0.25 whose sum yields to $1.35. So let's do it step by step:

So, we can write out the following list of combinations:

q (quarter) 3 q = 3 x 0.25 = $ 0.75

d (dimes) 6 d = 6 x 0.10 = $ 0.60

0.60 + 0.75 = 1.35

2.2) Another possible combination:

q (quarter) 5 q = 5 x 0.25 = $ 1.25

d (dimes) 1 d = 1 x 0.10 = $ 0.10

0.10+1.25= 1.35

2.3)

q (quarter) 1 q = 1 x 0.25 = $ 0.25

d (dimes) 11 d = 11x 0.10 = $ 1.10

0.25+1.10 = 1.35

3) Hence, considering that we need to combine dimes and quarters and their sum must be lesser than $1.35 We have three combinations with whole numbers of dimes and quarters:

3 quarters and 6 dimes

5 quarters and 1 dime

1 quarter and 11 dimes

Answer:

1 1/6

Step-by-step explanation:

\(Answer:\)

\(43\)

\(Step-by-step~explanation:\)

\(35-(-8)\)

\(35 + 8\)

\(= 43\)

Answer:

180

Step-by-step explanation:

From the table :

Slope :

m = (y2 - y1) / (x2 - x1)

m = (100 - 80) / (5 - 4)

m = 20 / 1

m = 20

y = 20x

Hence, when, x = 12

y = 20 * 12

y = 240

From the graph:

Slope :

m = (y2 - y1) / (x2 - x1)

m = (280 - 70) / (8 - 2)

m = 210 / 6

m = 35

y = 35x

When x = 12

Graph :

y = 35 * 12

y = 420

Difference :

420 - 240

= 180

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Answer:

Yes, because each student's  indetification number paired with their grade level

Step-by-step explanation:

Answer: In that picture the slope is increasing

Step-by-step explanation: positive rise and positive run (uphill from left to right)

Answer:

20)12

Step-by-step explanation:

Answer:

x < -8/5

Step-by-step explanation:

-9 - 5x > -1

-5x > 8

x < -8/5

Answer: 2 feet tall

Step-by-step explanation: 5*6=30/60=2

Answer: They resold them for $30 more than the original price.

Answer: 37.5%

Step-by-step explanation:

$80 - $50 = $30,

$30/$80 = 0.375 > 37.5%

The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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The slope of the graph of this function is 1/2, the correct option is C.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

We are given that;

The x input and y output of function.

Input x -2 -1 0 1 2

Output y -3 -1 1 3 5

Now

m=y2-y1/x2-x1

m= 2-1/5-3

m=1/2

Also, m=-1+2/-1+3

m=1/2

Therefore, the slope of the function will be 1/2

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The surface area of the solid formed is approximately, 598.3 in².

Surface area of the solid is the area covered by the solid all round.

The given parameters are:

Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²

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Answer:

Proportional and they are all equal to 10.25

Step-by-step explanation:

20.50/2=10.25

30.75/3=10.25

41/4=10.25

51.25/5=10.25

61.5/6=10.25

They all match. they are proportional.