Which method would you use to solve the problem substitution or graphing explain your answer (PART B)

Answer:

The Answer is (0, 1)

Step-by-step explanation:

add 2 and 4 to the x and y

Answer:

(0, 1)

Step-by-step explanation:

2 units right -> -2 + 2 = 0

4 units up -> -3 + 4 = 1

1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

For more questions related to coefficient

https://brainly.com/question/24881460

#SPJ1

1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

For more questions related to coefficient

https://brainly.com/question/24881460

#SPJ1

Answer:

7-n

Step-by-step explanation: do you need an equation?

Answer:

(−∞,−82)

Step-by-step explanation:

Eighty-two less than r, r−82 is less than <−164.

Now we can solve the inequality by adding 82 to each side.

r−82r−82+82r<−164<−164+82<−82

In interval notation, we write this as (−∞,−82).

The value of r in the statement eighty-Two less than r is less than −164

is r < - 82.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given statement is Eighty-Two less than r is less than −164 which can be numerically expressed as,

r - 82 < - 164.

r < - 82.

learn more about inequalities here :

https://brainly.com/question/20383699

#SPJ5

The "equivalent-form" of equation "x/12 - 7 = x/4" is "x - 84 = 3x", the correct option is (a).

In order to find the equivalent form of the equation "x/12 - 7 = x/4", we first need to solve for "x",

So, we first, simplify left side of equation by finding a common denominator for the two fractions:

⇒ x/12 - 7 = x/4,

⇒ x - 84 = 3x,

⇒ -84 = 2x,

⇒ x = -42,

Now, we check the given options by substituting the value of "x",

Option (a) : x - 84 = 3x,

Substituting x = -42,

We get,

⇒ -42 - 84 = 3(-42),

⇒ -126 = -126

This equation is true, so option (a) is an equivalent form of the original equation.

Option (b) : x - 74 = 12x,

Substituting x = -42,

We get,

⇒ -42 - 74 = 12(-42),

⇒ -116 = -504,

This equation is not true, so option (b) is not an equivalent form of the original equation.

Option (c) : x - 7 = 3x,

Substituting x = -42,

We get,

⇒ -42 - 7 = 3(-42),

⇒ -49 = -126,

This equation is not true, so option (c) is not an equivalent form of the original equation.

Therefore, the correct option is (a) .

Learn more about Equation here

https://brainly.com/question/21538331

#SPJ1

The given question is incomplete, the complete question is

Select an equivalent form of this equation: x/12 - 7 =x/4

(a) x - 84 = 3x

(b) x - 74 = 12x

(c) x - 7 = 3x

\((g\circ f)(x)=2x+5=5f(x)+3\\2x+5=5f(x)+3\\5f(x)=2x+2\\f(x)=\dfrac{2}{5}x+\dfrac{2}{5}\)

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

Learn more about the total Surface Area of the Cone :

https://brainly.com/question/15153049

Answer:

B, E and F hope this is correct

Question:

A point is randomly selected from the interior of the square pictured here: A square has its four vertices marked as A, B, C, and D. Side AD is labeled 1 foot length. Let x denote the distance from the lower left-hand corner to the selected point. What are  values of x?

Answer:

x = (0 to √2)

Step-by-step explanation:

Given:

Sides of a square labeled A, B, C, D

AD = 1 foot

Let x = distance from the lower left-hand corner to the point selected.

Since, it is a square, all sides are equal.

AB = 1 ft, BC = 1ft, CD = 1ft, AD = 1 ft

Since x is the distance from the lower left-hand corner to the selected point, here the lower left hand corner is point C.

Find the possible values of x.

C² = 1² + 1²

C² = 1 + 1

C² = 2

Take square root of both sides

√C² = √2

C = √2

Therefore, the possible values of x ranges from  0 to √2

X can be said to be continuous

dont , i know its hard but hang on :)

you can do it when pigs fly ( pigs will never be able to fly therefore youll never be able to leave )

you got this ok? if you need someone to vent to im right here !

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ1

False statement: A straight line on a coordinate plane always represents a function.

True statement: The equation y = 2x + 1 represents a function.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

A vertical line,

x=c,

represents a one-to-many mapping,

which is only a relation, not a function.

Explanation:

If all vertical lines crossed it no less than once, it would constitute a function.

Another name for this is the vertical line test.

If a graph only has one output (y) for each input (x), it will be regarded as a function.

A vertical line is thus not a function.

So, the first statement is false.

Now, we have,

y = 2x + 1

From the attached images,

we can clearly say that the y = 2x + 1 is a function.

The graph only has one output (y) for each input (x), it will be regarded as a function.

So, the second statement is true.

Therefore, the first statement is false, and the second statement is true.

To learn more about the function;

brainly.com/question/28303908

#SPJ1

Answer:

12

Step-by-step explanation:

a2 b

(    )2 (  )

(–2)2 (3)

(4)(3)

Answer:

Um...

I know the answer to Part A, but not to Part B.

Step-by-step explanation:

The answer for Part A is 7n + 5. Hope this helps!

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

Learn more about segments at:

https://brainly.com/question/17374569

#SPJ1

The equation of the line in slope intercept form is y = 1 / 5 x + 7.

The equation of a line can be represented in slope intercept form as follows:

y = mx +  b

where

Therefore, let's find the slope of the line as follows:

using (0, 7) and (5, 8)

m = 8 - 7 / 5 - 0

m = 1 / 5

m = 1 / 5

Therefore, let's find the y-intercept using (0, 7).

Hence,

y = 1 / 5 x + b

7 = 1 / 5 (0) + b

b = 7

Therefore, the equation of the line is y = 1 / 5 x + 7

learn more on slope-intercept form here: https://brainly.com/question/14074784

#SPJ1

Therefore , the solution of the given problem of coordinates comes out to be , T's values are (15, 7).

A coordinate system can be used to precisely find points or additional mathematical objects on such a space, including Euclidean space, by using one or more variables or coordinates. To find a point or item on a double plane, one uses coordinates, which are pairs of numbers. Two numbers called the y and x matrices are used to describe a point's location on a two-dimensional plane. a set of numbers used to identify specific locations. The number usually consists of two digits.

Here,

In other terms, the x-coordinate of T is 6 times the difference between t and 6, or:

=> T's x-coordinate is 6 plus (6 minus (-3)) = 15

We can use the fact that the line of reflection is just the perpendicular bisector of the section joining t and to determine the y-coordinate of T. T's separation from the line

=>  x=6 is 6 - (-3) = 9,

which is also T's separation from the line x=6.

The y-coordinate of T is the same as the y-coordinate of t because the line of reflection is the perpendicular bisector of the section joining t and T, which is:

=>T has a y-coordinate of 7.

Consequently, T's values are (15, 7).

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ1

Answer:

9/8 x 9/8 = 81/64 in fraction form.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\frac{81}{64}\)

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

\(\boxed{\text{Calculating the answer...}}\\\\(\frac{9}{8})^2\\\\\text{Recall the power of a fraction rule: } (\frac{a}{b})^x =\frac{a^x}{b^x}\\\\\rightarrow (\frac{9}{8})^2 =\frac{9^2}{8^2} =\boxed{\frac{81}{64}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20

A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.

Here,

Solve for y.

Replace y by f-1(x).

y=x-20

x=y-20

Solve for y,x = y-20

x+20

To learn more about inverse function visit:

brainly.com/question/2541698

#SPJ1

Answer:

ƒ^(-1)(x) = x + 20

Step-by-step explanation:

To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.

Let's start by replacing ƒ(x) with y:

y = x - 20

Next, swap x and y:

x = y - 20

Now, solve for y by isolating it:

x + 20 = y

Therefore, the inverse of the function ƒ(x) = x - 20 is given by:

ƒ^(-1)(x) = x + 20

Answer:

4(7 + x)

Step-by-step explanation:

28 + 4x

4 ⋅ 7 + 4x

4(7 + x)

good luck hope this helps :)

Find the greatest common factor for the terms involved in the polynomial.

In this case, the greatest common factor between 28 and 4 is 4.

So a 4 factors out of this polynomial.

That leaves us with each term divided by 4

inside a set of parentheses.

So we have 4(7 + x).

Now you can check your answer by distributing the 4 through

the parentheses and you will end up with your original polynomial.

The equation of the function that has roots at x=1 and x=2 are f(x) = (x-1)(x-2) and f(x) = 2(x-1)(x-2)

If a quadratic function has roots at x=1 and x=2, this means that the function has factors of (x-1) and (x-2).

To find a possible equation of the function, we can start with the factored form:

f(x) = a(x-1)(x-2)

where "a" is a constant that scales the function.

We can find the value of "a" by using a third point on the graph of the function.

So, the possible equations are

f(x) = (x-1)(x-2) and f(x) = 2(x-1)(x-2)

Note that there are other possible equations too

Read more about quadratic equation at

https://brainly.com/question/24334139

#SPJ1

Answer:

Z

Step-by-step explanation:

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

<95141404393>

Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

Answer:

D

Step-by-step explanation:

a quartic function is a polynomial of the 4th degree. that means that in the function expression the highest exponent of a term of x is 4.

y = ax⁴ + bx³ + cx² + dx + e

with a not 0.

the degree of a polynomial expression defines also how many zeroes (x values that create y = 0, that means points where the graph intersects the x-axis) there are.

a function has as many zeroes as the degree of the polynomial.

so, we are looking for potentially 4 zeroes.

the only graph that fulfills that is D.

the left "touch" of the graph on the x-axis counts for 2 (but equal) zeroes.

you can always test by virtually shifting the graph up or down and see, what are the max. x-axis intersections you can create.

if shifting D down a little bit you see, that this left "touch" turns into 2 intersections.

the same would apply for a "bend" or turn in the graph that does not even touch the x-axis.

if the original graph has not enough real x-axis intersections, it means that the remaining zeroes are then "imaginary" complex numbers (based on the sqrt(-1) = i).

a polynomial of the nth degree, must have n zeroes.

as a consequence it must have n-1 turns (even if the corresponding curve segments don't intersect with the x-axis in the real number space).

Answer:graph d

Step-by-step explanation:

just took the test

The amount of kibble in each bowl = 1 1/4 pounds

The correct answer is an option (d)

Let us assume that m represents the amount of kibble and n represents the number of dog bowls.

Jane shares 5 pounds of kibble equally in 4 dog bowls.

This means that m = 5 and n = 4

Let r represents the amount of kibble in each bowl.

To find the pounds of kibble in each bowl we divide the value of m by n.

i.e., r = m/n

r = 5/4

We write above fraction as an improper fraction.

r = 1 1/4

Therefore, the amount of kibble in each bowl = one and one fourth

The correct answer is an option (d)

Learn more about fraction here:

https://brainly.com/question/8969674

#SPJ4

The complete question is:

Jane shares 5 pounds of kibble equally in 4 dog bowls. How many pounds of kibble are in each bowl?

a.one and four fifths

b.one and two fourth

c.four fifths

d.one and one fourth

The height rises by the drone each second is 6 meters.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a drone rises 18 m every three seconds. After five seconds, the drone is at a height of 40 m.

The height will be calculated as:-

3 sec = 18 meters

1 sec = 18 / 3 meters

1 sec = 6 meters

Hence, the height in 1 second will be 3 meters.

To know more about an expression follow

https://brainly.com/question/24250837

#SPJ1