Solve the question on the image attached. It is not the first option.

Expressing y in terms of x gives y = x - 19/ 6

Subject of formula can be defined as the variable that is being expressed in terms of other variables in an equation, function or expression.

It is also described as the variable that is being worked out in an expression or equation.

It is made to stand alone on on side of the equality sign.

We have the equation;

6(x-y) = 19

To make 'y' the subject of formula, let's take the following steps;

Divide both sides by 6, we have;

x - y = 19/ 6

now, take the variable 'x' over the equality sign

-y = 19/ 6 - x

Divide both sides by -1

y = x - 19/ 6

Hence, the equation is y = x - 19/ 6

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The term  4^-3 x 4 can be rewritten using a single positive exponent as 1/4^2.

The positive exponent serves as the exponents that contain a positive number, it should be noted that the exponent is the degree at the top[ of the given number which is a negative exponents and the question expect us to turn it to a positive exponents after simplification of the given terms which will be simplified below to the simplest expression.

To rewrite the given term so that it can have a positive exponents then it can be expressed as :

=4^-3 x 4

= 4^-2

1/4^2

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The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.

When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

Given:

P = 340

It has been discovered that a specific bacterial population doubles in 20 minutes.

k = 2/20 = 0.1

t = 37 minutes

We know that,

P = P₀[tex]e^{kt}[/tex]

340   = P₀([tex]e^{0.1*37}[/tex])

340 =P₀(40.44)

P₀ = 8.40

As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.

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Answer:

2.    x = 2

3.    x = 43.2

4.     x = 3.6

Step-by-step explanation:

We solve as follows:

Answer: 60 and 68/1000

Step-by-step explanation:

Not sure if you wanted it in fraction, decimal, or percentage form.

Answer:

60 and 68.000

Step-by-step explanation:

i not sure if that was what u were looking for

Answer:

Step-by-step explanation:

A, B:  Define the Variables and Write Equations

Let T be the number of toppings.

Option 1:  $3 + $0.75*T

Option 2:  $4 + $0.50*T

C.  Graph the System

See the attached graph.  The intersection point is (4,6).  This means that 4 toppings will result in a cost of $6 for both yogurt options.

D.  Solution to the Problem

The solution is given above, but we can also solve using equations, instead of graphing.  We want the value of T that will make these expressions equal:

$3 + $0.75*T = $4 + $0.50*T

$0.25*T = $1

T = 4 toppings

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

CHECK:

For 4 toppings:

Option 1:  $3 + $0.75*T

                  $3 + $0.75*(4)

                  $3 + $3 = $6

Option 2:  $4 + $0.50*T

                  $4 + $0.50*(4)

                  $4 + $2 = $6

Four toppings will make both options equal in cost.

E:  Is the solution reasonable?

Yes.  The cheaper option ($3) has a more expensive topping, so at some point (at 4 toppings) it will be the same price as the second option, with a higher initial price, but with cheaper toppings.

If we call the middle number in the sequence [tex]x[/tex], the numerical values of the other terms will be [tex]x-1[/tex] and [tex]x+1[/tex], respectively, since they are consecutive.

We are told that [tex]4[/tex] times the smallest number is equal to [tex]3[/tex] times the largest number. Let us write our equality.

We found our number in the middle. Since it wants the value of our largest number, let's add 1 to the middle number.

The answer is B.

Answer:

How is this math?

Step-by-step explanation:

Answer:

Visiting the zoo on cold days limits the number of people there and it isn't too hot so you don't stand in the sweltering heat. Besides, on cold days, the animals may be in a better mood, but be cautioned, remember to bring a jacket just in case.

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

3x - 2y = 4 ( subtract 3x from both sides )

- 2y = - 3x + 4 ( divide through by - 2 )

y = [tex]\frac{3}{2}[/tex] x - 2 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

• Parallel lines have equal slopes.

clearly the slopes are not equal, so not parallel.

• the product of the slopes of perpendicular lines = - 1

- [tex]\frac{2}{3}[/tex] × [tex]\frac{3}{2}[/tex] = - 1

then the lines are perpendicular to each other.

Answer:

The lines are perpendicular.

Step-by-step explanation:

[tex]3x -2y=4[/tex]

Step 1: Add -3x to both sides.

[tex]3x-2y+-3x=4+-3x[/tex]

[tex]-2y=-3x+4[/tex]

Step 2: Divide both sides by -2.

[tex]\frac{-2y}{-2} =\frac{-3x+4}{-2}[/tex]

[tex]y=\frac{3}{2} x-2[/tex]

Finally...

[tex]y=\frac{3}{2} x-2\neq y=-\frac{2}{3} x+5[/tex] so the lines are not parallel.

However, [tex]\frac{3}{2}[/tex] is the opposite reciprocal of [tex]-\frac{2}{3}[/tex], so, the lines are perpendicular.

(You can also try drawing the lines.)

Answer: 1/12

Step-by-step explanation:

1) Set up the equation

1/3 / 4

2) Change 4 into a fraction

1/3 / 4/1

3) Change the divide into a multiply by flipping the 2nd fraction

1/3 * 1/4

4) Solve

1/12

Answer:

Least to greatest: 1. International finance center

2. Petronas towers

3. Zifeng towers

4. Burj Khalifa

Considering exponential functions, it is found that:

6.

12. The number of hits 3 weeks from now will be of 27,348, hence option B is correct.

An exponential function is modeled according to the rule given next:

[tex]y = ab^x[/tex]

The parameters of the exponential function are defined as follows:

For item 6, considering the points (0,10) and (1,7.5), the parameters are given as follows:

For item 12, the initial amount and the rate of change are given as follows:

a = 34,000, b = 1 - 0.07 = 0.93.

Hence the number of hits x weeks from now is modeled according to the following function:

[tex]h(x) = 34000(0.93)^x[/tex]

After 3 weeks, x = 3, hence the number of hits will be of:

[tex]h(3) = 34000(0.93)^3 = 27348[/tex]

Meaning that option B is correct.

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Answer:

a

Step-by-step explanation:

your a could be the same.

For the given functions , f(1) = -3 and f(-2) = -6 .

In the question

a graph is given

we have to find the value of the functions  f(1) and f(-2)

the value of f(1) means the value of y, when x=1 .

we see that ,

on the graph when x = 1 , the value of y = -3 .

so the value of [tex]f(1)[/tex] = -3 .

the value of f(-2) means the value of y, when x = -2 .

we see that ,

on the graph when x = -2 , the value of y = -6 .

so the value of [tex]f(-2)[/tex] = -6 .

Therefore , For the given functions , f(1) = -3  and f(-2) = -6 .

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Answer:

237

Step-by-step explanation:

3×(9-4)³ - 46×3
subtract 4 from 9 to get 5
3x5³-46x3
calculate 5 to the power of 3 and get 125
3x125-46x3

multiply 3 and 125 to get 375.

375-46x3
Multiply 46 and 3 to get 138
375-138

subtract 138 from 375 to get 237.
And there's your answer

You can follow the rule of BODMAS.

BODMAS stands for Bracket, Of, Division, Multiplication, Addition, Subtraction

By following the rule of BODMAS, the solution will be like this:

3×(5)³ - 46×3

= 3×125 - 46×3

= 375 - 138

= 237

I hope my explanation has helped you.

You can do well to declare this answer as the Brainiest Answer.

Thanks so much

Answer:

See Explanation

Step-by-step explanation:

[tex]x+y=40\\2.25x+1.75y=83.5\\[/tex]

from the first you have

[tex]h=40-p[/tex] substitute into the second:

[tex]2.25(40-p)+ 1.75x= 83.5\\90-2.25y+1.75x= 83.5[/tex]remaining

[tex]0.5y=6.5\\p= \frac{6.5}{0.5} =13\\[/tex]

substitute back into [tex]h= 40 - y\\h = 40 - 13 = 27[/tex]

Hope this helped :)

Answer:

No

Step-by-step explanation:

The graph fails the vertical line test. More than one y-value is on one x-value.

[H+] = -1.7243

Explanation:

Since [H+] = 5.7 * 10 - 4, in the function -log[H+] representing pH, replace H+

pH = -log [5.7 *10 - 4]

pH = -log[53]

pH = -1.7243

NB:

This number is rounded up from -1.72427.....

The value of y in each case are 18,8 and 4 respectively.

Given equation:-

y = -x + 9

Values of x = {-9, 1, 5}

We have to find the corresponding values of y for each value of x.

Putting x = -9 in the given equation, we get,

y = -(-9) + 9 = 9 + 9 = 18

Putting x = 1 in the given equation, we get,

y = -1 + 9 = 8

Putting x = 5 in the given equation, we get,

y = -5 + 9 = 4

Hence, the values of y are {18, 8,4}

The complete ordered pair of (x,y) is given by:-

(-9,18)

(1,8)

(5,4)

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Answer:

Step-by-step explanation:

//////////////////////////////

Answer:

Your answer would be 4 over 1

The equation of the given linear function passing through two points is

y = 6 -2x.

Let (x₁, y₁) and (x₂, y₂) be two points on the given linear function whose equation in variables x and y is given by formula below.

(y -  y₁) = {(y₂ -y₁)/(x₂-x₁)} (x -x₁)

Given that  f is a linear function ,

f(-3) = 12

f(6) = -6

⇒(x₁, y₁) = ( -3,12)

  (x₂, y₂) = ( 6,-6)

Thus the equation of the linear function is :

⇒ y - 12 = { ( -6-12)/(6-(-3))} ( x - (-3))

⇒ y - 12 = { -18/ 9} ( x +3)

⇒ y - 12 = -2 ( x+3)

⇒ y = 12 -2x - 6

⇒ y = 6 -2x

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Answer:

-12

Step-by-step explanation:

hope it helps

have a nice evening

Step-by-step explanation:

it is a linear equation

Normally two if them are given together to solve

hope it helps

The equation (-4 = -3x + 2) is formed and plotted on the graph (Refer to the graph attached below).

So, the equation can be:

From the equation:

Now, plot the equation on the graph as follows:

Therefore, the equation (-4 = -3x + 2) is formed and plotted on the graph (Refer to the graph attached below).

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The correct question is given below:
From the equation and plot it on a graph when, (2, -4) and slope = -3.

The side MD measures 10 cm and ∠D=72° for the given triangle.

What is triangle?

The perimeter of ΔMUD= 38cm

MU=DU=14cm

∠U=36°

⇒∠M=∠D=x

Applying Angle sum property,

36°+x+x=180°

2x=180°-36°

x=72°

∴∠D=72°

Perimeter of triangle=14+14+MD

38=28+MD

⇒MD=10cm.

The side MD measures 10 cm and ∠D=72° for the given triangle.

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Answer:

10× + 25y ≤ 25

Answer:

0.1x + 0.25y ≤ 25

Step-by-step explanation:

A call within the US is $0.10, a call to France is $0.25, and you have $25.00. Your total amount of money spent depends on how many calls you make. Now, turn this information into an inequality.