determine the value of x? ​

Determine The Value Of X?

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex], then

[tex]a^{x^2-5x}[/tex] = [tex]a^{6}[/tex], hence

x² - 5x = 6 ( subtract 6 from both sides )

x² - 5x - 6 = 0 ← in standard form

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 1 = 0 ⇒ x = - 1

Answer 2

Answer:

x=6, -1

Step-by-step explanation:

Using the rule of exponents:

a^{m} ÷ a^{n} = a^{(m-n)} , then

aˣ² ÷ a^{5x}  = a⁶

⇒ a^{x^2 - 5x} = a⁶

⇒ x² - 5x = 6

x² - 5x - 6 = 0

(x - 6)(x + 1) = 0 [middle term splitting]

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6     ║     x + 1 = 0 ⇒ x = -1


Related Questions

What is the difference in the area of a circle with diameter 4m and a circle with diameter 6m?

Answers

Answer:

The difference between the area of the two circles is 15.7m

Step-by-step explanation:

I swear these be helping me with the CIEs coming up in May xD

Okay so the formula for a circle is [tex]\pi r^2[/tex]

The diameter is the double of the radius so

Cirlce A has a diameter of 4m so a radius of 2m

[tex]\pi 2^{2}[/tex]

[tex]\pi4[/tex]

[tex]12.57m[/tex]

Circle B has a diameter of 6m so a radius of 3m

[tex]\pi 3^2[/tex]

[tex]\pi 9[/tex]

[tex]28.27m[/tex]

To find the difference subtract 12.57 from 28.27

[tex]28.27-12.57\\=15.7[/tex]

The difference between the area of the two circles is 15.7m

Hope this helps, if you still need help just comment :)

Graph f(x)=-x+2. Click on the graph until the graph of f(x)=-x+2 appears

Answers

Answer:

We need to see the other graph choices.  The line must go downhill since it's a negative slope (-x).  The line must cross at +2 on the y axis since 2 is the y intercept. Then from 2 you go down 1 box and to the right one box and put a point.  then draw the line

Step-by-step explanation:

Answer:

Answer in attachment

Step-by-step explanation:

Ok so we have f(x)=-x+2

It can be written as y=-x+2, Keep in mind that the standard form of a line equation is y=mx+c where m is the gradient and c is the y intercept

the slope in our equation is equal to 1

The y-intercept is equal to the point (0,2) ----> value of the function f(x) when the value of x is equal to zero

The x-intercept is equal to the point (2,0)----> value of x when the value of the function is equal to zero

See the attachment for the answer :)

Hope it helps :)

seven less than the product of 2 and a number is equal to 8.

Use the variable w for the unknown number .

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

We can use that statement to form an equation:

2w - 7 = 8

Now we need to solve for w

Add 7 to both sides:

2w = 15

Divide both sides by 2:

w = 7.5

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Answer:

15/2

Step-by-step explanation:

"7 less than the product of 2 and a number" comes out to 2w - 7.

This quantity equals 8:

2w - 7 = 8.

Adding 7 to both sides isolates 2w:

2w = 15

Dividing both sides by 2 yields

w = 15/2

I don’t know how todo this correction .

Answers

24/6  

24 can be divided by 6. 6 * 4 = 24.

24/6 = 4/1 = 4

Given: circle k(O), m
AM
=125°,
m
EF
=31°, m∠MAF=75°
Find: m∠AME

Answers

Answer:

[tex]m<A.M.E=58\°[/tex]

Step-by-step explanation:

step 1

Find the measure of angle M.E.F

we know that

In an inscribed quadrilateral opposite angles are in fact supplements for each other

so

[tex]m<M.A.F+m<M.E.F=180\°[/tex]

[tex]m<M.E.F=180\°-75\°=105\°[/tex]

step 2

Find the measure of arc M.A.F

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<M.E.F=\frac{1}{2}(arc\ M.A.F)[/tex]

we have

[tex]m<M.E.F=105\°[/tex]

substitute

[tex]105\°=\frac{1}{2}(arc\ M.A.F)[/tex]

[tex]arc\ M.A.F=210\°[/tex]

step 3

Find the measure of arc A.F

[tex]arc\ M.A.F=arc\ A.M+arc\ A.F[/tex]

we have

[tex]arc\ M.A.F=210\°[/tex]

[tex]arc\ A.M=125\°[/tex]

substitute

[tex]210\°=125\°+arc\ A.F[/tex]

[tex]arc\ A.F=210\°-125\°=85\°[/tex]

step 4

Find the measure of angle A.M.E

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<A.M.E=\frac{1}{2}(arc\ A.F.E)[/tex]

we have

[tex]arc\ A.F.E=arc\ A.F+arc\ E.F=85\°+31\°=116\°[/tex]

substitute

[tex]m<A.M.E=\frac{1}{2}(116\°)=58\°[/tex]

The angle ∠AME is the angle subtended at the circumference by the arc [tex]m \widehat{EFA}[/tex].

Correct response:

m∠AME is 58°

Methods used for the calculation:

The given parameters are;

[tex]m \widehat{AM}[/tex] = 125°

[tex]m\widehat{EF}[/tex] = 31°

m∠MAF = 75°

Required:

m∠AME


Solution:

[tex]m \widehat{MEF}[/tex] = 2 × m∠MAF

Therefore;

[tex]m \widehat{MEF}[/tex] = 2 × 75° = 150°

[tex]m \widehat{AM}[/tex] + [tex]m \widehat{MEF}[/tex] + [tex]m \widehat{FA}[/tex] = 360° sum of arcs of a circle postulate

Therefore;

[tex]m \widehat{FA}[/tex] = 360° - ([tex]\mathbf{m \widehat{AM}}[/tex] + [tex]\mathbf{m\widehat{MEF}}[/tex])

Which gives;

[tex]m\widehat{FA}[/tex] = 360° - (125° + 150°) = 85°

[tex]m \widehat{EFA}[/tex] = [tex]\mathbf{m \widehat{FA}}[/tex] + [tex]\mathbf{m \widehat{EF}}[/tex]

Therefore;

[tex]m\widehat{EFA}[/tex] = 85° + 31° = 116°

[tex]m \widehat{EFA}[/tex] = 2 × m∠AME (angle at center is twice angle at the circumference)

Therefore;

[tex]m\angle AME = \mathbf{\dfrac{m \widehat{EFA}}{2} }[/tex]

[tex]m \angle AME = \dfrac{116^{\circ}}{2} = 58^{\circ}[/tex]

m∠AME = 58°

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During track practice, Jonathan ran 5 kilometers. Rob 4,250 meters. Who ran further?​

Answers

Answer:

Johnathan

Step-by-step explanation:

Answer: The answer is: Jonathan ran further.

Step-by-step explanation: First, 1 kilometer (km )= 1,000 meters (m)

Then,multiply 5 times 1,000 because Jonathan ran 5 kilometers and were using meters. (We’re converting. )The answer for that is 5,000 meters. Remember to change kilometers to meters! This is greater than of that of Rob did. ( 4,250 meters. ) So,we know that Jonathan ran further then Rob.

Find the area of a 8-gon with radius length 6. Round to a whole number.

Answers

Answer:

Area = 102

Step-by-step explanation:

Length 1 side of the octagon.

The formula for the side of an octagon (given the radius of 6) is

s^2 = 2*R^2(1 - cos(45) )

s^2 = 2*6^2(1 - sqrt(2)/2)

s^2 = 72 ( 1 - 0.707)

s^2 = 72*0.2929

s^2 = 21.09

s = sqrt(21.09)

s = 4.5922

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

Height of one triangle =

H = R * cos(22.5)

H = 6 * 0.9329

H = 5.5433

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

Area of 1 triangle

Area = 1/2 * s * h

Area = 1/2 * 4.5922*5.4433

Area = 12.7279

Area of 8 triangles

Area of 8 triangles =  1 triangle * 8

Area of 8 triangles = 101.82

Rounded that comes to 102

Comment

I'm sure you can find a formula for this on the internet, but it this is the way the formula works and if you break it down step by step, you can see how the formula works.

What is the cost of 8 apples?

Answers

Answer:

X = 2.4 $

Step-by-step explanation:

If

12 apples ---> 3.6 $

8 apples ----> X?

X = [8*3.6] / 12

X = 2.4 $

Best regards

Answer:

$2.40

Step-by-step explanation:

If you change the decimal, the number is 360 but we can ignore the 0. 36 divided by 12 is 3. So we know that 1 apple costs $3. And, 8 multiplied by 3 is 24 adding the decimal, the answer is 2.40.

H20(l) > h20(g) calculate H rxn

Answers

H20 (liquid)- H20(gas)

The Enthalpy change for the above process can be written as:

ΔH=ΔHgas−ΔHliquid

and let us assume the claim in the question is right i.e

ΔHgas>ΔHliquid

Which function is quadratic function?

Answers

To be a quadratic equation, the first number has to be rasied by the power of 2.

The answer would be c(x) = -8x^2 + 3x-5

Answer:

The correct option isC(x) -8x² + 3x - 5                              

Step-by-step explanation:

Quadratic function is a function that can be written as in the form of               f(x) = ax² + bx + c, where a ≠ 0.

In a quadratic function, the greatest power of the variable is 2.

So, there is only one function from provided options which has greatest power is 2.

Hence, the correct option is C(x) -8x² + 3x - 5

Which phrase is usually associated with division? a number decreased by another number the product of two numbers the quotient of two numbers a number increased by another number

Answers

The phrase commonly associated with division is 'the quotient of two numbers', highlighting it as the result of dividing one number by another.

The phrase usually associated with division is the quotient of two numbers. To give a brief explanation, division is the process of determining how many times one number is contained within another. This process results in the 'quotient'. For example, if we divide 10 by 2, we are essentially asking how many times 2 goes into 10, which would be 5 times. This result (5) is the quotient.

Another important aspect of division is that it is intimately connected to multiplication, as they are essentially inverse operations. Dividing by a number is the same as multiplying by its reciprocal. When working with scientific notation or complex numbers, the principles of division require additional rules, but the underlying concept of finding a quotient remains the same.

suppose f(x) = x³ . find the graph of f(x) -5

Answers

Answer:

Choice 4

Step-by-step explanation:

The parent function is [tex]y=x^3.[/tex] The graph of the function

[tex]y=x^3+a[/tex] is translated a units up graph of the parent function;[tex]y=x^3 -a[/tex] is translated a units down graph of the parent function;[tex]y=(x-a)^3[/tex] is translated a units to the right graph of the parent function;[tex]y=(x+a)^3[/tex] is translated a units to the left graph of the parent function.

In your case, the graph of the function [tex]f(x)=x^3-5[/tex] is translated 5 units down graph of the function [tex]y=x^3.[/tex] This is choice 4

Graph 4 is the correct graph of f(x) - 5.

To find the graph of f(x) - 5, we can start by graphing the graph of f(x) and then shifting it down by 5 units.

The graph of f(x) is a cubic function, which means that it is a graph of the form y = ax³ + bx² + cx + d. To graph a cubic function, we can use the following steps:

Find the x-intercepts of the graph. The x-intercepts are the points where the graph crosses the x-axis. To find the x-intercepts, we set y = 0 and solve the equation for x.

Find the y-intercept of the graph. The y-intercept is the point where the graph crosses the y-axis. To find the y-intercept, we set x = 0 and solve the equation for y.

Find the end behavior of the graph. As x approaches positive or negative infinity, what does the value of y approach?

Plot the x-intercepts, y-intercept, and any other important points on the graph.

Connect the points with a smooth curve.

To graph the graph of f(x) - 5, we simply shift the graph of f(x) down by 5 units.

The description matches  graph 4.

The length of a rectangle is three times its width.
If the perimeter of the rectangle is 80cm, find its length and width.

length:
width:


Answers

Step-by-step explanation:

2w+6w=80

w=10

l=30

Final answer:

To find the length and width of the rectangle, we can set up an equation using the perimeter formula. Solving the equation will give us the values of the width and length.

Explanation:

Let's start by assigning variables to represent the length and width of the rectangle. Let's say the width is 'w' cm, so the length would be '3w' cm according to the information given.

The perimeter of a rectangle is given by the formula: P = 2(L + W), where P represents the perimeter, L represents the length, and W represents the width.

Substituting the given values into the formula, we can set up the following equation: 80 = 2(3w + w). Solving this equation will give us the value of 'w', which corresponds to the width of the rectangle. Once we have 'w', we can find the length by multiplying it by 3.

By solving the equation, we find that the width of the rectangle is 10 cm and the length is 30 cm.

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use the graph to complete the following identity cos8x - cos2x/ sin8x + sin2x=?

Answers

It's pretty cool, honestly.

I need help please ..

Answers

Answer:

349 lb

Step-by-step explanation:

This is a division problem.

4,886 lb is 14 trips means (4,886 lb)/14 in each trip.

4,886/14 = 349

Answer: 349 lb

Answer:

349

Step-by-step explanation:

I did 4,886 divided by 14=349

SOMEONE PLEASE HELP ME!!!!!

Answers

Answer:

6

Step-by-step explanation:

The equation reads "6 is less than or equal to x."

That means that x must be greater than or equal to 6.

The only value of the choices that makes the inequality true is 6.

Answer:

6

Step-by-step explanation:

do it on your own too to check!!

1. pick a number

2. replace it in the equation

3. see if  it makes sense

Hope this helped!!! :D

What is the y intercept of the function f(x) = -2/3x + 1/3

Answers

Answer:

1/3 or letter c

Step-by-step explanation:

The spot of 1/3 in the equation f(x) = -2/3x + 1/3 is the same spot of b in the equation y = mx + b.

The correct value of y-intercept of the function f(x) = -2/3x + 1/3 is (0, 1/3).

To find the y-intercept of a function, you set x equal to zero and solve for y.

In the given function, f(x) = -2/3x + 1/3, we can find the y-intercept by substituting x = 0 into the equation:

f(0) = -2/3(0) + 1/3

f(0) = 0 + 1/3

f(0) = 1/3

Therefore, the y-intercept of the function f(x) = -2/3x + 1/3 is (0, 1/3).

The y-intercept of a function represents the point where the graph intersects the y-axis. To find the y-intercept, we set the value of x to zero and solve for the corresponding value of y.

In the given function f(x) = -2/3x + 1/3, we substitute x = 0:

f(0) = -2/3(0) + 1/3

Since any term multiplied by zero is zero, the first term becomes zero:

f(0) = 0 + 1/3

Adding 0 to any value doesn't change its value, so we are left with:

f(0) = 1/3

Therefore, the y-intercept of the function f(x) = -2/3x + 1/3 is (0, 1/3). This means that the graph of the function crosses the y-axis at the point (0, 1/3), where y equals 1/3.

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Simplify (3x^-2y^4)^-3

Answers

Answer:

x^6/27y^12

Step-by-step explanation:

(3. 1?x^2 y^4)^3

(3y^4/x^2)^3

witch you get x^6/27y^12

hope i helped

Please help! Anyone

Answers

Answer:

126 cm²

Step-by-step explanation:

Area of the figure = Area of triangle + Area of the Rectangle

Area of Triangle = 1/2 * b * h

                           = 1/2 * (12-6) * (15-9)

                           = 1/2 * 6 * 6 = 18 cm²

Area of the Rectangle = l * b

                                     = 12 * 9 = 108 cm²

Area of figure = 18 cm² + 108 cm² =126 cm²

BRAINLIEST!!!
Please help me

Answers

Answer:45

Step-by-step explanation:

What is the circumference of the following circle r = 1

Answers

Answer: C≈6.28

Step-by-step explanation:

C=2π r=2· π ·1≈6.28319

Therefor, the answer is 6.28

* hopefully this helps:)Mark me the brainliest:)

Answer:

C = 2pi

C ≈ 6.28

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi*r

C = 2 * pi *1

C = 2 * pi

Using 3.14 as an approximation for pi

C = 2*3.14

C = 6.28

Plz help !!!!!!!!!!!

Answers

Answer:   c) 12

Step-by-step explanation:

[tex]\sqrt{2x+1}-4=1\\\\\sqrt{2x+1}=5\\\\(\sqrt{2x+1})^2=(5)^2\\\\2x+1=25\\\\2x=24\\\\\boxed{x=12}[/tex]

It will be 12 probably

Help Solve. 5t ≤ –15

Answers

divide by 5 on both sides and get -3

The required solution to the given inequality 5t ≤  –15 is t ≤  –5 which represents the value of t lying less than or equal to negative five.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

The inequality is given in the question following as:

⇒ 5t ≤  –15

We have to determine the solution to the given inequality 5t ≤  –15.

As per the given question, the required solution would be as:

⇒ 5t ≤  –15

Divide by 5 into both sides in the above inequality

⇒ 5t/5 ≤  –15/5

Apply the division operation to get the solution

⇒ t ≤  –5

The above inequality represents the value of t lying less than or equal to negative five.

Therefore, the required solution to the given inequality 5t ≤  –15 is t ≤  –5.

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Graph the system of linear in inequalities y < 3x -4 and y greater than or equal to -1/2x +3

Answers

Answer:

See explanation

Step-by-step explanation:

1. To graph the inequality y<3x-4, you need to plot dotted line y=3x-4 and then shade the part that doesn't contain the origin, because 0<3·0-4 is false statement. This is red region on the coordinate plane below.

2. To graph the inequality y≥-1/2x+3, you need to plot solid line y=-1/2x+3 and then shade the part that doesn't contain the origin, because 0≥-1/2·0+3 is false statement. This is blue region on the coordinate plane below.

3. The common part of two regions is the solution of the system of two inequalities.

Final answer:

To graph the system of linear inequalities, start by graphing the lines y = 3x - 4 and y = -1/2x + 3 as dashed lines. Then, shade the correct regions based on the inequality signs and find the overlap to determine the solution.

Explanation:Graphing the System of Linear Inequalities:

The given system of linear inequalities is:

y < 3x - 4

y ≥ -1/2x + 3

To graph these inequalities, we can start by graphing the lines y = 3x - 4 and y = -1/2x + 3 as dashed lines, since they are not included in the solution region.

Next, we can shade the correct region based on the inequality signs. For y < 3x - 4, we shade below the line, and for y ≥ -1/2x + 3, we shade above the line. The overlap of the shaded regions represents the solution to the system of inequalities.

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2/3 = 20/30 what numbers are the means of the proportion shown below? PLEASE NEED HELP *

Answers

Please elaborate the question

circumference of the circle with the given radius 3 1/2 cm
a.7.5
b.7
c.6.25​

Answers

Let's do these in steps. Remember to show your work

#1. Convert into a improper fraction.

3 x 2 x 1 over 2cm.

#2. Simplify 3 x 2 to 6.

6 + 1 over 2cm.

#3. Change 6+1 to 7.

7 over 2m.

We finally get 7 over 2, but that rounded would be 7. So B would be our answer.

Which sets of measurements could be the interior angle measures of a triangle?

Select each correct answer.



A. 10°, 10°, 160°


B. 15°, 75°, 90°


C. 20°, 80°, 100°


D. 35°, 35°, 105°


E. 60°, 60°, 60°

Answers

a c and d

because they are actual angles, others are pretending numbers

carries fish tank holds 54 liters of water. how many 6 liter buckets does she use to fill it​

Answers

Answer:

9

Step-by-step explanation:

54 makes this real easy. 54 is 9*6 so it would take 9 six liter buckets to fill the tank.

Answer:

9 buckets

Step-by-step explanation:

54 can be split into two numbers that are easier to divide by six

30 and 24

both of these divided by six come to

5 and 4

add these together and you get the answer 9

please help asap, thanks


A scale drawing of a rectangular parking lot is shown. The width of the parking lot is shorter than the length. The width of the actual parking lot is 48 feet. How many feet of the parking lot are represented by 1 centimeter on the scale drawing? Your answer should be a two digit number.

Answers

Answer:

15 ft.

Step-by-step explanation:

If you divide the length of the drawing by the length of the real one you will find the scale factor. Every one cm in the drawing is 15 ft. in the real one.

Final answer:

One centimeter on the scale drawing represents approximately 0.03281 feet of the actual parking lot.

Explanation:

To find out how many feet of the parking lot are represented by 1 centimeter on the scale drawing, we need to use the conversion factor between centimeters and feet. Since 1 centimeter is equal to 0.01 meters (1 cm = 0.01 m) and 1 meter is equal to 3.281 feet (1 m = 3.281 ft), we can multiply the conversion factors together: 0.01 m * 3.281 ft/m = 0.03281 ft.

So, 1 centimeter on the scale drawing represents approximately 0.03281 feet of the actual parking lot.

The answer is 0.03.

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i need help ASAP!!!!! PLEASE

Answers

6x+4=52
Subtract 4 from both sides
6x =48
X=8
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