What Extraneous Solution Arises When The Equation 8x + 1 = 3x Is Solved For Xby First Squaring Both Sides (2024)

Answer:

f(x) = 9x - 18

Step-by-step explanation:

Moving the graph to the left or right involves directly manipulating the "x" value. When you want to shift the graph to the right, you need to subtract the desired value directly from "x". This would make the equation look like this:

f(x) = 9(x - 2)

However, this can be simplified by multiplying 9 by each term in the parentheses.

f(x) = 9x - 18

Answer:

y = 8

Step-by-step explanation:

Direct variation formula is y=kx. Plus in the known x & y values to solve for k, the constant of proportionality.

16 = k (4) Divide by 4 to solve

4 = k

This means we multiply x by 4 to get y.

y = kx

y = 4 (2)

y = 8

The value of y in these ordered pairs (4, 16) and (2, y) is 8.

What is directly proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

If y varies directly as x,

16 = k (4)

Divide by 4 to solve for k

4 = k

This means we multiply x by 4 to get y.

y = kx

y = 4 (2)

y = 8

Hence, the value of y in these ordered pairs (4, 16) and (2, y) is 8.

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The given expression written in lowest terms is a/b

Simplifying an Expression

From the question, we are to write the given expression in its lowest terms

The given expression is

ab/b2

That is,

[tex]\frac{ab}{b^{2} }[/tex]

This can be expressed as

[tex]\frac{a \times b}{b \times b}[/tex]

=[tex]\frac{a}{b}[/tex]

Hence, the given expression written in lowest terms is a/b

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Perfectly suited for a Venn diagram setup

Start with the intersection of 14, fill in that data in the intersection of all 3 circles that you must have drawn.

Now look at the intersection of any two circles:
I will pick the gym and track circles, it says that 36 use both of those
but the 14 from the intersection is included in that count, so 22 would go
in the part describing ONLY gym and track, so put 22 in that region.
Continue with the other two intersection of two circles

Now look at each of the whole circles.
e.g. the gym circle, it says that 73 use the gym.
Obviously that would include all those data values that you already
entered in the "gym" circle. So subtract those values form 73 and enter
the rest in the "gym only" part of the circle.
Continue for the other two circles.

Now add up all those values in the circles. If that total is less than 135
then the difference would go outside the 3 circles.

Your prob is that number / 135

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the quadrilateral is 129 inches.

What is the perimeter?

Perimeter is the sum of the length of the sides used to make the given figure.

The perimeter of the quadrilateral is,

Perimeter = 31 + 7x + 30 + 4x² + 8x + 3x² - 5x + 20

= 31 + 7(2) + 30 + 4(2)² + 8(2) + 3(2)² - 5(2) + 20

= 31 + 14 + 30 + 16 + 16 + 12 - 10 + 20

= 129 inches

Hence, the perimeter of the quadrilateral is 129 inches.

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Answer:

The perimeter of the quadrilateral is 129 inches.

Using the given information, the height of the shorter cone is 6.81 cm

Calculating volume of a cone

From the question, we are to determine the height of the shorter cone.

First, we will calculate the volume of the first cone

Using the formula for calculating the volume of a cone,

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

Where V is the volume

r is the radius

and h is the height

From the given information,

r = 8.5 cm

h = 10 cm

Then,

[tex]V = \frac{1}{3}\pi \times 8.5^{2}\times 10[/tex]

[tex]V = \frac{1}{3}\pi \times 72.25\times 10[/tex]

[tex]V = \frac{722.5}{3}\pi[/tex] cm³

Now, for the shorter cone

r = 10.3 cm

Since the two cones have the exact same volume, we can write that

[tex]\frac{722.5}{3}\pi= \frac{1}{3}\pi \times 10.3^{2} \times h[/tex]

[tex]722.5= 106.09 \times h[/tex]

[tex]h = \frac{722.5}{106.09}[/tex]

h = 6.81 cm

Hence, the height of the shorter cone is 6.81 cm.

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Answer:

y=5/2x

Step-by-step explanation:

The line needs to go through the points (0,0) and (2,5).

With y=5/2x, there is no y-intercept, so it starts on the origin, (0,0). With the slope 5/2, you would rise 5 (y) from the origin, and run 2 (x), which gives you the point (2,5).

The value of x that makes ABC~ RTS. is 12

How to determine the value of x?

From the figure, we have the following equivalent ratio:

2x + 6 : 40 = 36 : 48

Express as fraction

(2x + 6)/40 = 36/48

Multiply both sides by 40

2x + 6 = 30

Subtract 6 from both sides

2x = 24

Divide both sides by 2

x = 12

Hence, the value of x is 12

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Answer:

The correct answer would be C

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

Answer:

44

Step-by-step explanation:

Two points

(5,5)(-5,4)

Slope

m=4-5/-5-5m=-1/-10m=1/10

A coordinate system in geometry is a system that employs one or more integers. The coordinates of point H are (66, -19).

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5). Therefore, the difference between any two coordinates can be written as,

Difference

x ⇒ 9 - (-3) = 9 + 3 = 12

y ⇒ 5 - 9 = -4

Now, since the point are at equal distances, therefore, the difference in their coordinates will be the same as well,

The coordinates of point C are,

x = 9 + 12 = 21

y = 5 + (-4) = 1

The coordinates of point C are (21, 1).The coordinates of point E are (39, -7).The coordinates of point H are (66, -19).

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Step-by-step explanation:

WHAT is question ?

is question (when the center is O,EOF=?)

A circle is a curve sketched out by a point moving in a plane. Except for the first statement both the second and the third statement is true.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The complete question is mentioned in the below image.

For the given circle,

The area of the sector is,

Area of sector = π(4)²×[2π/(3×2π)] = 16π/3

The area of the circle is,

Area of the circle = π×(4)² = 16π

The length of the Arc is,

Length of the arc = 2π×(4)×[2π/(3×2π)] = 8π/3

Hence, Except for the first statement both the second and the third statement is true.

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The area of the track will be 78501 m². The area of the track is equal to the area of the circle.

What is the area?

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square meters and other similar units are used to measure area.

The area of the track is found as;

[tex]\rm A=\frac{\pi}{4} d^2 \\\\ \rm A=\frac{3.14}{4} (100)^2 \\\\ A=7850 \ m^2[/tex]

Hence, the area of the track will be 78501 m².

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You have one dog, you get another dog, you now have two dogs

surface area of a triangle is 1/2 x base x height.

1/2 x 10 x 12 = 60 square inches.

there are 4 triangular sides: 60 x 4 = 240 square inches

area of the base = 10 x 10 = 100 square inches

total surface area = 240 + 100 = 340 square inches

answer: 340 square inches

The answer shows the next correct step for solving the quadratic equation by taking the square root of both sides is g-4 = ±√2

Solving by completing the square method

Quadratic equations are equation that has a leading degree of 2. Given the quadratic equation as shown below:

g²-8g + 16 = 2

Subtract 16 from both sides

g²-8g + 16 -16 = 2 - 16

g²-8g = -14

Complete the square

g²-8g + (-8/2)² = -14 + (-8/2)²

g²-8g + (-4)² = -14 + (-4)²
(g-4)² = -14 + 16

(g-4)² = 2

Take the square root of both sides

√(g-4)² = ±√2
g-4 = ±√2
Hence the answer shows the next correct step for solving the quadratic equation by taking the square root of both sides is g-4 = ±√2
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Answer:

Step 1: Distribute 5

7 + 5x - 15 = 22

Step 2: Combine like terms

5x - 8 = 22

Step 3: Add 8 to both sides

5x = 30

Step 4: Divide both sides by 5

x = 6

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

First Distribute 5

7 + 5x - 15 = 22

second Combine like terms

5x - 8 = 22

third Add 8 to both sides

5x = 30

lastly Divide both sides by 5

x = 6

there you go please give brainly crown

Answer:

6

Step-by-step explanation:

if we always go from right to left it will start with lin segment BC BD BA CD CA and DA those are all the posible segments for this line

Answer:

The mode is 71 and the median is 70.5.

Step-by-step explanation:

The mode is the most occurring number, meaning that 71 (occurring 3 times) is the mode. For median, you have to order the numbers least to greatest (52, 54, 54, 68, 70, 71, 71, 71, 79, 81) and find the number(s) that are in the middle. The two numbers in the middle of the set are 70 and 71. The number in between 70 and 71 is 70.5, getting you your median. I hope this helps! :)

Answer:

See below ~

Step-by-step explanation:

Given data :

68, 79, 71, 52, 71, 54, 71, 81, 54, 70

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

Place in ascending order :

⇒ 52, 54, 54, 68, 70, 71, 71, 71, 79, 81

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

Finding the mode :

⇒ The mode is the number which is most prevalent in the set

⇒ The mode is 71

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

Finding the median :

⇒ Take the mean of the middle 2 terms (as there are even number of terms)

⇒ Median = 70 + 71 / 2

⇒ Median = 70.5

Answer:

Step-by-step explanation:

2/c

3/both magnitude and direction are needed to define it.

4/Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.

5/There are three ways an object can accelerate: a change in velocity, a change in direction, or a change in both velocity and direction.

6/The rate at which velocity changes with time is called Acceleration is a measure of how quickly the velocity is changing.

7/The instantaneous speed of an object is then the magnitude of its instantaneous velocity. Speed tells you how fast. Velocity tells you how fast and in what direction.

Answer:

a = 60°

b = 68°

x = 30°

y = 110°

Step-by-step explanation:

• a = 60°,

because angle a and the 60° angle are alternate angles as they are on opposite sides of the transversal line (the line that crosses the two parallel lines), and alternate angles are equal.

• b + 112° = 180° [because the two angles are interior angles, and

interior angles add up to 180°]

b = 180° - 112°

b = 68°

• y + 2x +10° = 180° [angles on a straight line add up to 180°]

y + x + 40° = 180° [interior angles]

Solve the two equations simultaneously by subtracting the second from the first:

x - 30° = 0

x = 30°

Substitute x = 0 into the second equation to get the value of y:

y + 30° + 40° = 180°

y = 180° - 30° - 40°

y = 110°

Hope this helps!

The equation to represent the price is y = 190(1.15)x

What is equation?

An equation is a mathematical expression that contains an equals symbol.

Given:

price of silver has increased by 15% per year from 2000.

Price for silver bowl = $190.

Total increment= 100% + 15% = 115% = 1.15

The price of bowl after x years

y = 190*(1.15x)

y = 190(1.15)x

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EQUATION: 11x-21=8x+15
11x-21=8x+15
3x-21=15
3x=15+21
3x=36\3
x=12

VALUES OF X, LM, MN, & LN
x=12
LM= 111 (11(12)-21)
MN=111 (8(12)+15)
LN= 222 (11(12)-21+8(12)+15)

Answer:

63°

Step-by-step explanation:

tan ? = opp/adj

tan ? = 40/20 = 2

? = tan^-1 2 = 63.4°

Answer:

Step-by-step explanation:

let x degree be reqd. angle.

tan x=40/20=2

[tex]x=tanx^{-1} (2)\approx 63.44^\circ \approx 63^\circ[/tex]

a) equation will be 0.5x + 3 = 18.50

b) equation will be (0.75x - 0.10x) + 3 = 21.00

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

a) Sydney made $18.50 selling lemonade.

she sold each cup for $0.50 and received a $3 tip from a neighbor.

let x be the cost of cup she sold.

equation will be 0.5x + 3 = 18.50

b) Daria made a profit of $21.00 selling lemonade

she sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor.

equation will be (0.75x - 0.10x) + 3 = 21.00

c) Sydney don't have to pay for the cups used while Daria paid.

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Answer:

oh man you don't know the answer of this

what kind of ki you are

see how to this

Step-by-step explanation:

1.5 m = 1.5 × 100 cm = 150 cm. Therefore, the required ratio is90: 150.

this the answer

I hope you understand

The ratio will be 90: 150

1.5m= 1.5 x 100cm = 150cm

The equation 7x + 3x - 18 = 6(x+3) is 9

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

given:

7x + 3x - 18 = 6(x+3)

7x + 3x - 18 = 6x+18 [Distributive Property]

10x-18= 6x+18 [Addition Property of Equality]

10x-6x= 18+18 [Combine Like Terms ]

4x=36 [Subtraction Property of Equality]

4*x=36 [Multiplication Property of Equality]

x=36/4 [Division Property of Equality]

x=9

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