1/2k+6=4k-8

Please explain step by step

Answers

Answer 1

So on solving the provided question, we can say that the value of k is 4, in this linear equation question.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

1/2k +6= 4k-8

Multiplying both sides by 2,

k+12= 8k-16

7k=28

Therefore,

       k=4

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Related Questions

Find y'' for x² + y⁴ = 20​

Answers

now, this is implicit differentiation, so it comes with the assumption that "y" is a function in "x terms", as opposed to a plain vanilla variable, whilst "x" is just that, so

[tex]\cfrac{d}{dx}[x^2+y^4=20]\implies 2x+\stackrel{chain~rule}{4y^3\cdot \cfrac{dy}{dx}}=0\hspace{5em}\cfrac{d}{dx}\left[ 2x+4y^3\cdot \cfrac{dy}{dx}=0 \right] \\\\\\ 2+\stackrel{product~rule}{\left( 12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2} \right)}=0\implies 2+12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2}=0 \\\\\\ 2+12y^2\cdot \cfrac{dy}{dx}=-4y^3\cdot \cfrac{d^2y}{dx^2}\implies {\Large \begin{array}{llll} \cfrac{2+12y^2\cdot \frac{dy}{dx}}{-4y^3}=\cfrac{d^2y}{dx^2} \end{array}}[/tex]


Need Help With This

Answers

Step-by-step explanation:

a) x+20+x+90=180 [sum of 3 angel of triangle]

2x + 110 = 180

2x = 180- 110

2x = 70

x = 70÷2

x = 35

b) 2y + y + y = 180

4y = 180

y = 180÷4

y= 45

c) 4z-30 + 2z = 180

6z = 180 + 30

6z = 210

z = 35

Find f(g(x)) f(x)= 2x^2-4x-6. G(x)= 2x+7

Answers

if functions  f(x) = 2x²-4x-6 and g(x)= 2x+7 then f(g(x)) is 8(x+2)(x+4)

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given functions are f(x)= 2x²-4x-6

g(x)=2x+7

We need to find expression of f(g(x))

f(g(x))=f(2x+7)

Now replace x with 2x+7 in f(x)

f(2x+7)=2(2x+7)²-4(2x+7)-6

=2(4x²+49+28x)-8x-28-6

Apply distributive property

=8x²+98+56x-8x-28-6

Add the like terms

=8x²+48x+64

f(g(x))=8(x+2)(x+4)

Hence, if functions f(x) = 2x²-4x-6 and g(x)= 2x+7 then f(g(x)) is 8(x+2)(x+4)

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Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67

Answers

Orange marble selection has a 0.33 experimental probability.12 over 60 is the experimental probability of landing on a number smaller than 2

what is probability ?

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

In each of the three studies, Sandy's experimental probability matched the theoretical probability to the letter.

The theoretical likelihood of landing on orange is one-fourth, but the actual likelihood is 20%.

Orange marble selection has a 0.33 experimental probability.

12 over 60 is the experimental probability of landing on a number smaller than 2.

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find the value of x !

Answers

Answer:

  x = 7

Step-by-step explanation:

You want to know the value of x when the base of a triangle measures 5x+35, and its midsegment measures 35.

Midsegment

The base of the triangle is twice the length of the midsegment, so you have ...

  5x +35 = 2(35)

  5x = 35 . . . . . . . . . . subtract 35

  x = 7 . . . . . . . . . . divide by 5

__

Additional comment

The midsegment joins the midpoints of the sides of the triangle.

In more formal terms, the smaller triangle is similar to the larger one with a scale factor of 1/2. That means the parallel segments are related by that scale factor of 1/2: (1/2)(5x +35) = 35.

What is the vertex form to standard form?

Answers

Answer:

[tex]y=x^2+2x-2[/tex]

Step-by-step explanation:

Vertex Form:

Vertex form is expressed as: [tex]y=a(x-h)^2+k[/tex], and is super useful when analyzing the vertex, which is given to be (h, k).

Standard Form:

Standard form is expressed as: [tex]y=ax^2+bx+c[/tex], and is also useful in certain cases.

Converting Vertex to Standard Form:

When converting standard to vertex we have to complete the square to rewrite the equation using a perfect square binomial, which is what really distinguishes the two. Now when we want to convert back into standard form, we simply need to get rid of this perfect square binomial, which we can do by expanding out the perfect square binomial into a trinomial.

So in other words, we want to multiply out the following: [tex](x+1)(x+1)[/tex], which becomes: [tex]x^2+2x+1[/tex] which you can solve by using polynomial multiplication, which is essentially just extending the logic of the distributive property. In general when given two polynomials to multiply, you look at one polynomial, and then multiply it by each term in the other polynomial, now repeat this for each term in the polynomial you were initially looking at. I'll provide a picture to better illustrate this. You can use FOIL if it helps you with multiplying binomials, but remembering how to generally use it, will help you when multiplying polynomials in general.

Now that we've multiplied out the expression, we can substitute it into the equation: [tex]y=x^2+2x+1-3[/tex], now just combine the constants: [tex]y=x^2+2x-2[/tex], and now you've converted it into standard form!

Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.

negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714

Answers

The equation that corresponds to fraction   [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is [tex]\frac{1}{7^{14} }[/tex] . A phrase by itself could contain an action .

what is expression ?

It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression: (Math Operator, Number/Variable, Math Operator). A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.

given

[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )} \\= \frac{1}{7^{4} } *\frac{1}{7^{10} } * 1\\= \frac{1}{7^{14} }[/tex]

The equation that corresponds to fraction   [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is  [tex]\frac{1}{7^{14} }[/tex] .

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Solve the system of equations.
3x-2y = 3
-4x + 5y = -11

Answers

On solving the provided question, we can say that - the value of x and y by the linear equation will be x = 12 and y = -21

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here, we have

3x-2y = 3

-4x + 5y = -11

and on solving we got

x = 12 and y = -21

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hello- need help on this :)

Answers

Answer: 5x^2 - 15x

Step-by-step explanation:
Distribute the 5x into the parentheses. 5x multiplied by x = 5x^2 and 5x multiplied by -3 and -15x. This means the product is 5x^2 - 15x
Answer: 5x^2 - 15x.

Basically, you just have to multiply the outside number by by x and -3.

8+ ((3² x 6)- 18) ÷ 9

Answers

the answer is to this problem is 12

can someone please help me with this it’s geometry

Answers

Since the lengths EH and FG have the identical slope ratios as the parallel lines problem that is being given, assertion 4 is true, and so statement 4 is: EHFG.

Parallel Lines: What is it?

Two non-vertical lines with the same slope that are located in the same plane are said to be parallel. Two parallel lines cannot cross each other. Right angles connections are those that intersect two non-vertical line in the same plane at a right angle.

Here,

The slope values in EH and FG are the same.

the exhibited proof, which is zero.

This implies that they follow one another in a straight line.

Since the sections EH and FG share the same gradient values as the parallel lines problem that is being given, assertion 4 is true, and so statement 4 is: EH||FG.

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Solve the equation 5(4x-1.5x) + 12 = 4x- 124 for X

Answers

[tex] \sf \: 5(4x -1.5x) + 12 = 4x - 124 \\ \sf \: 5 \times 2.5x + 12 = 4x - 124 \\ \sf \: 12.5x + 12 = 4x - 124 \\ \sf \: 12.5x - 4x = - 124 - 12 \\ \sf \: 8.5x = - 136 \\ \sf \: x = - 16[/tex]

Lesson 17

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Hypotenuse = 14.5 meters
Opposite side = 6.3 meters
θ = ?

Answers

The measure for θ is 25.747121°.

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Hypotenuse = 14.5 meters

Opposite side = 6.3 meters

Now, using Trigonometry

sin θ = Opposite side / Hypotenuse

by putting the given values we get

sin θ = 6.3 / 14.5

sin θ = 63/145

sin θ = 0.4344

θ =25.747121°

Hence, the angle is 25.747121°.

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A giant satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface for the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 300 feet and. depth of 44 feet. How far from the base of the dish should the receiver be placed? Round your answer to the nearest foot.

Answers

The answer of given parabola question is 6.125ft.

The definition of a parabola?

a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.

x² = 4py

x=radius which can be found by dividing d=14ft by half

x = d/2 = 11/2 = 7ft

y=2ft is the depth

p is the vertex of the parabola

finding p;

p = x²/4y

p = 7²/4×2

p=6.125ft

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4. The Jerico family went ice skating on the
frozen lake. The 2 parents and 4 children each
had ice skates. They brought an extra pair of
ice skates in case anyone else wanted to join
them. How many ice skates did the family
bring?

Answers

Answer:

10

I wish you luck in your assignments.

y is inversely proportional to x
when y = 7, x = 9
a) work out an equation connecting y and x
b) work out the value of y when x = 21

Answers

The equation connecting y and x is y = 63/x and the value of y when x =21 is 3

a) work out an equation connecting y and x

From the question, we have the following parameters that can be used in our computation:

Variation = inverse variation

y = 7, x = 9

An inverse variation is represented as

k = xy

Where k is the constant of proportion

Substitute the known values in the above equation, so, we have the following representation

k = 7 * 9

Evaluate

k = 63

So, we have the following representation

xy = 63

Make y the subject

y = 63/x

b) work out the value of y when x = 21

Substitute the known values in the above equation, so, we have the following representation

y = 63/21

Evaluate

y = 3

Hence, the solution is 3

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For Exercises 13-17, given A(6,-4), B(3, 8), and
C(-7, 9), determine the coordinates of the vertices
of AA'B'C' for each glide reflection. Suppose p is
the line with equation x = -3,q is the line with
equation y = 9, and r is the line with equation
y=-2. SEE EXAMPLE 3

Answers

Answer

A(-10, 9), A'(-4, 9)

B(-4, 2), B'(-10, 2)

C(-7, 9), C'(-7, -4)

Example 3:

A(-3, 5), A'(3, 5)

B(-3, 0), B'(3, 0)

C(-3, 5), C'(-3, -10)

do two rectangle prisms have the same volume? Sometimes, always, never. Pls explain! Giving brainlyst :3

Answers

Answer:

It is a known fact that there are rectangular prisms with the same volume but different dimensions.

The answer here is they have the same volume but different dimensions

Dan is training his puppy, Lola, to sit. Dan holds a treat 5 feet above the ground until Lola
sits. As soon as she does, he drops the treat, and Lola catches it in her mouth 1.5 feet above
the ground.
To the nearest tenth of a second, how long does the treat fall before Lola catches it?
Hint: Use the formula h = -16t² + s.

Answers

Answer:

t = 0.5 seconds

Step-by-step explanation:

Given formula:

[tex]h=-16t^2+s[/tex]

where:

h = height above the ground (in feet)t = time after dropping the treat (in seconds)

Dan drops the treat 5 feet above the ground.

Therefore, when t = 0, h = 5 ft.  

To find the value of s, substitute these values into the given formula:

[tex]\implies -16(0)^2+s=5[/tex]

[tex]\implies s=5[/tex]

Therefore:

[tex]h=-16t^2+5[/tex]

To calculate how long the treat falls before Lola catches it, substitute h = 1.5 into the formula:

[tex]\implies -16t^2+5=1.5[/tex]

[tex]\implies -16t^2=-3.5[/tex]

[tex]\implies t^2=0.21875[/tex]

[tex]\implies t=\sqrt{0.21875}[/tex]

[tex]\implies t=\pm0.467707173...[/tex]

[tex]\implies t=\pm0.5\; \; \sf (nearest\;tenth)[/tex]

As time is positive, t = 0.5 seconds (nearest tenth) only.

Therefore, it took 0.5 seconds for Lola to catch the treat after it fell.

mr.jim would like to plant carrots all around base of the fence surrounding his square feet. the area of his garden is 100 sq feet. in feet what is tje perimeter​

Answers

if the shape is a square the perimeter is 40

Solve for B. Enter the number that goes under the radical Symbol​

Answers

The number that goes beneath the radical is 7

What is the Pythagoras theorem?

The Pythagoras theorem is used to find side or angle of a right angled triangle.

If you are dealing with any right triangle with  given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.

Note that the Pythagorean Theorem: is  a²+b²=c²

a  and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).

This impies in this case, that  we have 4 equivalent right triangles with given sides  and  for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.

The Pythagoras Equation is a²+b²=c²

Where  a=3, b =? c=4

Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.

a²+b²=c²

⇒b²=c²-a²

a=√(c²-a²)

Plug in our given values and solve for .

a=√(4²-3²)

a=√(16-9)

a=√7

Conclusively, the radical number that goes beneath 7

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Complete question :

The complete question is found on the attachment

PLEASE HELP ME DUE TODAY NOW ASAP THANKS

Answers

The rate of change of the end points of the line is 32/10

What is slope?

Slope is defined as the rate of change of y with respect to x.  Also it is defined as increase in y over increase in x or decrease in y over decrease in x

slope is denoted by the formula = Δy/Δx

Where Δy = change in y

Δx= change in x

The given points are (-9, -2) and (5, 119/5)

The slope of the end points   (119/5 + 21)/(5+9)

The slope is (119+105)/5

M= 44.8/14

The slope is 3.2 = 32/10

Therefore the rate of change is given as 32/10

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A small town surveyed 250 adults,
150 of the adults who
180 of whom were parents, about whether a park should be expanded The results showed that
were parents and 40
of the adults who were not parents thought the park should be expanded.
Use this information to complete the two-way table.
Enter your answer by filling in the boxes to complete the table.
Should the park be expanded?
Yes
No
Parents
Not parents

Answers

According to the findings, 40 of the adults who were not parents and 150 of the adults who were parents believed that the park should be expanded.

The park be expanded?

250 adults, 180 of whom are parents, leaving 70 adults who are not parents (250 - 180). According to the findings, 40 adults without children and 150 adults with children said the park should be expanded. Thus, 180 – 150 = 30 parents.

Parents: YES OR NO Not parents: 40 | 30 of 150

In this exercise, we must determine the values of the voters who supported expanding the parking lot, which requires that we:

In fact, parents will be 150, not 40.

Parents won't be 30 in total; they'll be 40. Instead, a park should be built to accommodate 250 persons, 180 of whom were parents.

The park should be extended, according to 40 of the people who weren't parents.

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What is the length x of a diagonal support, to the nearest tenth of a foot?

CORRECT ANSWER

PROVIDE EXPLANATION

Answers

The length of x of a diagonal support is 13.8 feet.

What is the hypotenuse of a triangle.

The hypotenuse of a triangle is the length of the longest side of the triangle. So that it is always opposite to the measure of the largest angle of a triangle.

In the question given, divide the length of the footbridge into 2 parts.

So that,

Half of the footbridge = 25/ 2

                     = 12.5 ft

So that applying the appropriate trigonometric function to determine the value of x using any of the congruent triangles. We have;

Sin θ = opposite/ hypotenuse

Sin 65 = 12.5/ x

x = 12.5/ Sin 65

  = 12.5/ 0.90631

x = 13.792 feet

The length x of a diagonal support is 13.8 feet.

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In triangle JKL, angles J and L each measure 51° and JK = 18. Triangle PQR is similar to triangle JKL, where J corresponds to P, K corresponds to Q, and QR = 36. Which expression represents the length of segment PR?

Answers

Answer:

Step-by-step explanation:

Triangle JKL is a 51-51-78 triangle, since the angles in a triangle must add up to 180°. Since triangle PQR is similar to triangle JKL, it must also be a 51-51-78 triangle. Since corresponding sides in similar figures are in proportion, we can set up a proportion to find the length of PR:

(PR)/(JK) = (PQ)/(JL) = (36)/(18)

Cross multiplying and solving for PR, we find:

PR = (JK) * (PQ)/(JL) = 18 * 36/18 = 36

write each percent as a fraction and
as a decimal.
7/100%
I NEED THIS BY 2:30PM

Answers

7/100% can be written as a fraction as 7/100, and as a decimal as 0.07.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{7}{100}\%}[/tex]

[tex]\mathsf{= \dfrac{7}{100} \div 100}[/tex]

[tex]\mathsf{= \dfrac{7}{100}\times \dfrac{1}{100}}[/tex]

[tex]\mathsf{= \dfrac{7(1)}{100(100)}}[/tex]

[tex]\mathsf{= \dfrac{7}{1,000}}[/tex]

[tex]\mathsf{= 0.0007}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{7}{1,000} \ \& \ 0.0007}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Explain what an exponential form is but leveled down for high schoolers

Answers

The required exponential function is given as y = aˣ where the value of a should be positive always.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
Since from the above definition exponential function is given as y = aˣ,
This shows the exponential increase and decrease, by means of exponential increase and decrease, a sudden in increase and sudden decrease of function as the value of a varies, see in the graph after the answer. And the value of an always remains positive.

Thus, the required exponential function is given as y = aˣ where the value of a should be positive always.

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Can someone help with these 2 questions please :) or 1 whichever one u know

1. Overall, how successful were resistors to Spanish colonial rule? What factors prevented them from being more successful?

2. What lasting impacts do you think Spanish colonial rule will have on Native American cultures and civilizations? Explain.

Answers

After conquering indigenous civilizations in Mexico and South America, Spanish Colonial Rule became wealthy thanks to the gold and silver it discovered.

What is Spanish Colonial Rule?

The objectives of Spanish Colonial Rule were to take gold and silver from the Americas, to boost the Spanish economy, and to increase Spain's might. Additionally, Spain sought to evangelize Native Americans.

Further Spanish conquistadors, who were mostly poor nobility from Spain's destitute west and south, were able to conquer the vast empires of the New World with the aid of sickness (which reduced native resistance), superior military equipment, and tactical strategies such as surprise attacks and strong.

However, it was challenging to convince immigrants to colonize there due to friction with the local Indian population and the absence of significant silver or gold discoveries.

Thus these are the most leading factors that prevent to become more successful for Spanish Colonial Rule.

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can someone help me please i really have to do this right now

Answers

Answer: Angles 2 and 4 = 38, Angle 1 = 142

Step-by-step explanation:

Given that angle 3 is equal to 142, the angle between 2 and 3 has to add up to 180. 142 + 38 = 180. The same applies for angle 4 and 3. So, angle 1 + angle 2 has to add up to 180. We already know angle 2, so now we just have to subtract that from 180 to find angle 1.

help thanks !!!!!!!!!!!!!!!

Answers

Answer:

ASA

Step-by-step explanation:

The hash marks are telling which sides are congruent and the angle mark is telling us that those angles are congruent.

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