Solve the equation given a domain of {-3}.
3x - 2y = 5

The slope of the linear function → 4x - 1 = 3y + 5 is [m] = 4/3 and the [y] intercept is at [c] = -2

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is a equation of a straight line as -

4x - 1 = 3y + 5

We have the equation as follows -

4x - 1 = 3y + 5

Rearranging the equation -

3y = 4x - 1 - 5

3y = 4x - 6

y = (4/3)x - 2

Refer to the graph attached.

The slope of the line is [m] = 4/3

The [y] intercept is at [c] = -2

Therefore, the slope of the linear function → 4x - 1 = 3y + 5 is [m] = 4/3 and the [y] intercept is at [c] = -2

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

Answer:

Value of x is 1440

Step-by-step explanation:

According to the question,

720 ÷ 50 gives same answer as x ÷ 100

[tex] \therefore[/tex]

[tex] \rm \implies \dfrac{720}{50} = \dfrac{x}{100} \\ \\ \rm \implies x = \frac{720}{50} \times 100 \\ \\ \rm \implies x = 720 \times 2 \\ \\ \rm \implies x = 1440[/tex]

Check the picture below.

Answer:

Step-by-step explanation:

(12-5)x4=28

The equation of the graph is f(x) = |x - 3| + 5

The graph represents the given parameter

From the graph, we have the following highlights:

This means that

Vertex = (3, 5)

Rewrite the vertex as

(h, k)

An absolute value function is represented as

f(x) = a|x - h| + k

Substitute the known values in the above equation

So, we have the following equation

f(x) = a|x - 3| + 5

On the graph, we have

(x, f(x)) = (2, 6)

So, we have

6 = a|2 - 3| + 5

This gives

a = 1

So, we have

f(x) = 1 * |x - 3| + 5

Evaluate

f(x) = |x - 3| + 5

Hence, the graph has an equation of f(x) = |x - 3| + 5

Read more about absolute value functions at

https://brainly.com/question/3381225

#SPJ1

Answer:

40 cm²

Step-by-step explanation:

Let,

length ( l ) = 4 cm

Height ( h ) = Width ( w ) = 2 cm

To find : Surface are of cuboid : -

Formula : -

Surface are of cuboid = 2 [ lh + hw + wl ]

Surface are of cuboid

= 2 [ ( 4 )( 2 ) + ( 2 )( 2 ) + ( ( 2 )( 4 ) ]

=  2 [ 8 + 4 + 8 ]

= 2 [ 20 ]

= 2 x 20

= 40 cm²

The statement which is true about this equation is that: C. The equation has no solution.

In Mathematics, no solution is sometimes referred to as zero solution. Additionally, an equation is considered as having no solution when the right hand side and left hand side of the equation are not the same or equal.

This ultimately implies that, an equation would have no solution or zero solution when both sides of the equal sign are not the same and the variables cancel out.

From the information provided above, we have this equation:

3(-y + 7) = 3(y + 5) + 6

Opening the bracket, we have the following:

-3y + 21 = 3y + 15 + 6

Next, we would rearrange the equation by collecting like terms as follows:

-3y + 21 = 3y + 21 (no solution)

-3y - 3y = 21 - 21

-6y = 0

y = -0/6

y = 0

Read more on equation here: brainly.com/question/28949611

#SPJ1

The coordinates of each image are G'(-2,9), and H'(1,-3).

What are the coordinates?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

Here, we have

R₍₁₈₀°,₀ (GH)

H(-1,3)

G(2,-9)

Now we need to the rotation of 180°  about the origin.

By following the rule, we get,

(x , y) ⇒ (-x , -y)

After solving,

G(2,-9) ⇒ G'(-2,9)

H(-1,3)  ⇒ H'(1,-3)

Hence, the coordinates of each image are G'(-2,9), and H'(1,-3).

To learn more about the coordinates from the given link

https://brainly.com/question/25528482

#SPJ13

Answer:

I think it is y = -3x + 2

Step-by-step explanation:

Answer:

The answer is C, I had this same quiz today and I got 100%

Answer:

y = [tex]\sqrt{(k-a)}[/tex]

Step-by-step explanation:

k= y^2 + a

k-a= y^2

y^2 = k-a

y = (k-a)^(1/2)

y = [tex]\sqrt{(k-a)}[/tex]

Answer:

[tex]\displaystyle{y=\pm \sqrt{k-a}}[/tex]

Step-by-step explanation:

To make y-term as the subject of formula means to solve for y-term. First, subtract both sides by a-term, this’ll at least isolate y².

[tex]\displaystyle{k-a=y^2+a-a}\\\\\displaystyle{k-a=y^2}[/tex]

Everything that you do or add to one of both sides, that side will also be done too. (e.g Suppose we have x + 1 = y. If we add 2 to left then 2 should also be added to right too so we’ll have x + 1 + 2 = y + 2)

Then square root both sides to get rid of the exponents of y-term:

[tex]\displaystyle{\sqrt{k-a}=\sqrt{y^2}}[/tex]

If we substitute y = any numbers, we’ll always get positive result. Therefore, this means that y-term can be any positive or negative values. Hence, write plus-minus to the left side then evaluate the square root of y² to y:

[tex]\displaystyle{\pm \sqrt{k-a}=y}[/tex]

Therefore, the new equation written in term of y is:

[tex]\displaystyle{y=\pm \sqrt{k-a}}[/tex]

The ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Generally speaking, a proportional relationship can be represented by the following mathematical expression:

x = ky

Where:

In this context, the constant of proportionality or ratio of the quantity of silver paint (parts) to green paints (parts) can be calculated as follows:

Constant of proportionality (k) = x/y

Constant of proportionality (k) = 3/4

Now, we can determine the equivalent ratios as follows:

Equivalent ratio = 4/5 ≠ 3/4

Equivalent ratio = 6/8 = 3/4 (divide by 2)

Equivalent ratio = 5/6 ≠ 3/4

Equivalent ratio = 9/12 = 3/4 (divide by 3).

Read more on ratio here: brainly.com/question/28083504

#SPJ1

the answer is 6:8 and 9:12

Step-by-step explanation: hope this helped ;D

The point (-2, 7) is not on the graph of y = -2x + 1

From the question, we have the following equation

y = -2x + 1

This equation represents the equation of the graph

Also, we have the following points

(-2, 7)

This point implies that

(x, y) = (-2, 7)

Substitute (x, y) = (-2, 7) in the equation y = -2x + 1

So, we have

7 = -2 x -2 + 1

Evaluate

7 = 5

This is false

Hence, the point is not on the graph

Read more about linear graphs at

https://brainly.com/question/14323743

#SPJ1

The last four digits of the number nn are 4944

Given that,

Let nn stand for the lowest positive integer that can be represented in base-1010 using only the numbers 44 and 99, with at least one of each. This number must be divisible by both 44 and 9,9.

The last two digits of n must be divisible by 4 for n to be divisible by 4.

So last digits of n will be 44.

And for divisiblity by 9, sum of all digits of n has to be divisible by 9.

As two digits are fixed and their total is 8, next feasible total will be 45 so 9 can be atleast one time in n.

And as statement says n has to be smallest number n will be 4444444944

So last 4 digits of n are 4944.

Therefore, nn's last four numbers are 4944.

Learn more about positive integer :

brainly.com/question/28165413

#SPJ4

Answer:

d+12/3

Step-by-step explanation:

*= multiply /= fraction ALL OVER= fraction over fraction

find the common denominator-

d/3+4

d/3+3*4/3

combine fractions with the common denominator

d/3+3*4/3 ALL OVER d+3*4/3

multiply

d+3*4/3 ALL OVER d+12/3

Answer:  The correct answer is x=−3 or x=5

Step-by-step explanation:

Solve for x^2−2x=15 using the quadratic equation

Step 1) Subtract 15 from both sides

x2−2x−15=15−15

x2−2x−15=0

For this equation: a=1, b=-2, c=-15

1x2+−2x+−15=0

Step 2) Use quadratic formula with a=1, b=-2, c=-15

x= (−b±√b2−4ac)/2a

x= (−(−2)±√(−2)2−4(1)(−15))/2(1)

x= (2±√64)/2

x=5 or x=−3

Remember to vote for this as Brainliest if I earned it!   :)

The numeric value of the expression sec²(54º) - 1, using a trigonometric identity, is given as follows:

tan²(54º) = 1.8944.

Before applying the trigonometric identity, we have to define the secant and the tangent of an angle, as follows:

The identity that exists between the squares of these measures is given as follows:

tan²(x) + 1 = sec²(x).

Hence, isolating the tangent:

tan²(x) = sec²(x) - 1.

In this problem, the expression is given as follows:

sec²(54º) - 1

Applying the identity, the expression is given as follows:

sec²(54º) - 1 = tan²(54º).

Using a calculator, the numeric value of the expression is given as follows:

tan²(54º) = 1.8944.

More can be learned about trigonometric identities at https://brainly.com/question/7331447

#SPJ1

The number of randomly selected employers that would have to be contacted is 9604

The confidence level is 95%

1 - 0.95 = 0.05

We have to get the z value at 0.05

0.05/2 = 0.025

Using the standard normal table, the critical value at 0.025 = 1.96

We have to define the probability as P = 50% = 0.5

we have to define q = 1 - 50% = 0.5

The formula that would be used to find the value of n is given as

[tex]n = pq\frac{Zc}{E} ^2[/tex]

These variables used are:

pq = variance of population

E = margin of error = 0.01

critical value = Zc = 1.96

[tex]n = 0.5*0.5 (\frac{1.96}{0.01})^2[/tex]

= 0.25 * 38416

= 9604

Hence the sample space is given as 9604

Read more on confidence interval here:

https://brainly.com/question/26658887

#SPJ1

The graph whose domain is positive will not have any x - intercept.

What is graph of a function?

At first it is important to know about function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Graph of a function is the set of all points of the form (x, f(x)).

The graph is positive in its entire domain

f(x) > 0 for all x

So the graph will never cut the x axis at any point.

So the graph will not have any x intercept.

To learn more about graph of a function, refer to the link-

https://brainly.com/question/19040584

#SPJ9

The value of x in 3² × [tex]3^{x}[/tex] = 3² is 0.

According to the question,

We have the following information:

3² × [tex]3^{x}[/tex] = 3²

We know that when two numbers with the same base are in multiplication then the powers of the numbers are added. So, in this case, 2 will be added to x. And this expression of addition will be equal to the powers of the number on the right hand side.

Now, we have the following expression:

2+x = 2

x = 2-2

x = 0

Hence, the value of x in 3² × [tex]3^{x}[/tex] = 3² is 0.

To know more about value of x here

https://brainly.com/question/3162971

#SPJ1

The probability of not getting 6 at all is 11/36

The term "probability" is most commonly used to refer to the likelihood that a specific event (or set of events) will occur, expressed as a linear scale from 0 (impossibility) to 1 (certainty), or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

Given,

A die is rolled 2 times  

6 was on the first roll, but there was no 6 on the second,

6 came up on the second roll but not the first.

2 sixes

A) It is evident that 1/6 of the time you will roll a six.

B) There is a 5/6 chance of not getting a six on a single roll.

1/6x5/6 + 5/6x1/6 + 1/6x1/6

= 5/36 + 5/36 + 1/36

= 11/36

The probability of not getting 6 at all is 11/36

To learn more about probability, visit:

https://brainly.com/question/11234923

#SPJ4

Answer:

SAS

Step-by-step explanation:

If two sides and the included and the included angle of one triangle are congruent to two sides and the included angle of another triangle , then the triangles are congruent. The included angle is the angle formed by the two sides.

EF = BC

∠ F = ∠ C

DF = AC

then the two triangles are congruent by the SAS postulate.

Answer:

SAS

Step-by-step explanation:

On triangle one and two, they both start by having a congruent side, then a congruent angle, then another congruent side, thus making these triangles congruent by Side Angle Side.

It can't be AAS because there is only one angle, we know is congruent.

It can't be SSS because there are only two sides, we know are congruent.

It can't be HL because there is no right angle, meaning these aren't right triangles.

The volume of solid B is 1350 [tex]cm^{3}[/tex].

What is the volume ratio?

The side length ratio raised to the third power represents the volume ratio for the two solids.

If two solids are comparable, their volumes will have a ratio that is equal to the cube of their corresponding side ratios.

Given that both solids are similar.

The volume of solid A = 400 [tex]cm^{3}[/tex]

height of solid A = 10 cm

height of solid B = 15 cm

the volume of solid B = ?

Now,

volume of solid A/ volume of solid B = (height of solid A)^3/(height of solid B)^3

or, [tex]\frac{400}{x} = \frac{10^{3} }{15^{3} }[/tex]

or, [tex]x = \frac{400*15^{3} }{10^{3}}[/tex]

or, [tex]x = \frac{400*3375 }{1000}[/tex] = 1350

Hence, the volume of solid B is 1350 [tex]cm^{3}[/tex].

To learn more about volume ratio

https://brainly.com/question/6615047

#SPJ9

The amount of wire that can be bought from 21 cents is 7 inches.

It is given in the question that 12 inches of wire costs 36 cents.

We have to find the amount of wire that can be bought from 21 cents.

We will use the unitary method to solve this question.

Amount of wire that can be bought from 1 cent = 12/36 = 1/3 inches

Hence, according to the data given in the question, we can write,

The amount of wire that can be bought from 21 cents = (1/3)*21 = 7 inches.

Unitary method

The unitary method is a mathematical problem-solving technique where the value of a single unit is found out from the value of multiple units prior to finding the necessary result.

To learn more about unitary method, here:-

https://brainly.com/question/22056199

#SPJ1

The value of x and y in the triangle given are 15 and 4 respectively

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle. The equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.

In the triangle given, we can equate equal sides and find the missing sides on the triangle.

12/18 = y + 12 / 18 + 6

12/18 = y + 12 / 24

2/3 = y + 12 / 24

solve for y

y = 4

Taking another side and solve for x

12 / x = 12 + y / x + 5

but y = 4

12 /x = 12 + 4 / x + 5

12/x = 16 / x + 5

x = 15

Learn more on equivalent triangles here;

https://brainly.com/question/14285697

#SPJ1

The derivative of f(x) is option A.

What is derivative?

The instantaneous pace at which one quantity changes in relation to another is referred to as a derivative in mathematics.

Main Body:

Since the derivative of [tex]e^{x}[/tex] is just [tex]e^{x}[/tex] , application of the chain rule to a composite function with [tex]e^{x}[/tex] as the outside function means that:

         [tex]\frac{dy}{dx} (e^{f(x)} )= e^{f(x) }.f'(x)[/tex]

Now the derivative of 1/x = [tex]\frac{-1}{x^{2} }[/tex]

Hence derivative of f(x) = [tex]-e^{\frac{1}{x} } /x^{2}[/tex].

To learn more about derivative click on the link below.

https://brainly.com/question/23819325

#SPJ13

Answer:

59/15

Step-by-step explanation:

8/5 + 7/3                       Multiply the numerator and denominator by the LCF of the denominator

(3/3) 8/5 + 7/3 (5/5)      Multiply

24/15 + 35/15                Add the numerators

59/15