7x=8x+12
How do I solve this

Point C (3,8) is the required ordered pair that is not the solution of the given equation. Option C is correct.

Given that,
To determine which ordered pair is NOT a solution to the equation y = 2x.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given relation y = 2x
Now substitute every value of x from the ordered pair and match the output with the corresponding value of the ordered pair.
put x = 1, 2, 3, 5
Y = 2(1)
y = 2
Similarly the outcome of the values,
x = 2, 3, 5
y = 4, 6, 10

Thus, Point C (3,8) is the required ordered pair that is not the solution of the given equation. Option C is correct.

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Answer:

Step-by-step explanation:

Answer x = 4 or x = -4.

Explanation: you can make what is called a 3-4-5 triangle. The base in this case is 3(from -2 to -5 there is 3 units), the hypotenuse is 5(length given in the question) therefore the height (also known as the y coordinate) is 4 or -4 if you flip the triangle.

Marlee is in short of -768.95 inches of wire for making jewelry.

Given that, Marlee is making jewelry for a class craft show. She began with 115 inches of wire.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The numerical expression for the given situation is
115-25.75+3014-(3812+60.2)

= 89.25+3014-3872.2

= 3103.25-3872.2

= -768.95 inches

Therefore, Marlee is in short of -768.95 inches of wire for making jewelry.

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Answer:

117

Step-by-step explanation:

f(-9)=-9^2-5(-9)-9

f(-9)=81+45-9

f(-9)=126-9

f(-9)=117

hopes this helps please mark brainliest

Answer:

y = x - 3

Step-by-step explanation:

y - y1 = m( x - x1 )

y - (-2) = 1 (x - 1)

y + 2 = x - 1

y = x - 3

The direct variation equation for the line passing through the points A(4,−2) and B(10,−5) as given in the task content is; y = -2x.

It follows from the task content that the direct variation of equation of the two points given be determined.

On this note, since the relation is said to be a direct variation.

It follows that the ratio of inputs to output in both ordered pairs, k is same and can be determined as;

10/-5 = 4/-2 = k = -2.

Therefore, the required direct variation equation is written as;

y = -2x.

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The equations for the functions are f(x) = (-2/3)x - 8 and g(x) = (-2/3)x - 2

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is a point on the line.

Using the two given points for f, we can find the slope:

m = (y2 - y1) / (x2 - x1)

m = (-6 - (-2)) / (-3 - (-9))

m = -4 / 6

m = -2/3

Let's use the point (-9, -2):

y - (-2) = (-2/3)(x - (-9))

y + 2 = (-2/3)(x + 9)

Multiplying both sides by 3 to get rid of the fraction:

3y + 6 = -2x - 18

3y = -2x - 24

y = (-2/3)x - 8

So the equation for f is:

f(x) = (-2/3)x - 8

To find the equation for g, we can use the fact that the y-intercept is 6 greater than the y-intercept of f. So if the y-intercept of f is b, then the y-intercept of g is b + 6.

f(x) = (-2/3)x - 8

0 = (-2/3)x - 8

2/3 x = -8

x = -12

The x-intercept of both f and g is -12.

Now we can use the y-intercept and x-intercept to write the equation for g. The slope of g is the same as the slope of f, which is -2/3.

y - (b + 6) = (-2/3)(x - (-12))

y - b - 6 = (-2/3)(x + 12)

Multiplying both sides by 3 to get rid of the fraction:

3y - 3b - 18 = -2x - 24

3y = -2x + 3b - 6

y = (-2/3)x + (3/3)b - 2

y = (-2/3)x + b - 2

So the equation for g is:

g(x) = (-2/3)x + b - 2

We know that the x-intercept of g is -12, so we can plug that in and solve for b:

0 = (-2/3)(-12) + b - 2

0 = 8 + b - 2

b = -6

So the y-intercept of g is -6 + 6 = 0.

Therefore, the equation for g is:

g(x) = (-2/3)x - 2

Hence , the equations for f and g are: f(x) = (-2/3)x - 8 and g(x) = (-2/3)x - 2

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Answer: Austin burn 809.8 more calories today than yesterday.

Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

Given,

In the question:

Why are the tops of mountains round and the soil often rough, rocky, and thin in many places in the Northeast?

Now, According to the question:

The correct answer is:

Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

Other question is

4 + 2

By addition:

4 + 2 = 6

Hence, Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

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Answer:

Step-by-step explanation:

The cost of 190 bon-bons is $154.8

According to the question ,

The shape of chocolate bon-bons is Sphere

Radius of sphere = 1.7cm

Density = 1.32g/cm³

[tex]Volume \ of\ sphere = \frac{4}{3}\pi r^{3}\\[/tex]

[tex]Volume of chocolate bon-bons = \frac{4}{3}\pi (1.7)^{3}[/tex]

[tex]= \frac{4}{3}\pi (4.913)\\= 20.5795cm^{3}[/tex]

Weight of bon-bons = volume × density

weight = 20.5795 × 1.32

= 27.1649g

Given , the cost of chocolate = $0.03

then cost of bon-bons = 0.03 × 27.1649

= $0.81494

We have to find cost of 190 bon-bons.

Cost of 190 bon-bons = 190 × 0.81494

= $ 154.8

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The volume of the cylindrical Pringles chip can is 1508 cm³

From the question, we are to determine the volume of cylindrical can

The volume of a cylinder is given by the formula

V = πr²h

Where V is the volume of the cylinder

r is the radius

and h is the height

From the given information,

Diameter = 8 cm

But,

Radius = Diameter / 2

Therefore,  

r = 8 / 2 = 4cm

h = 30 cm

Thus,

Volume of the cylindrical can = π× 4² × 30

Volume of the cylindrical can = π× 16 × 30

Volume of the cylindrical can = 480π cm³

Volume of the cylindrical can = 1507.96447 cm³

Volume of the cylindrical can ≈ 1508 cm³

Hence,

The volume is 1508 cm³

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The equation y = 10.5x - 5 is proportional

Given,

y = 10.5x - 5

We have to find this equation is proportional or not.

In mathematics, proportional relationships exist when two variables consistently change by the same multiple. The formula y = kx, where k is a constant multiplier that depicts the relationship between x and y, is used to represent proportional relationships. The line on the graph is always straight and goes through (0,0).

Here,

y = 10.5x - 5

10.5 is the constant multiplier that depicts the relationship between x and y.

So,

The equation y = 10.5x - 5 is proportional

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y≤-3x+4 has lesser than or equal to symbol so we shade the below line.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Relationship between two expressions or values that are not equal to each other is called 'inequality.

y≤-3x+4 is the given inequality.

The sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

In the inequality we have lesser than or equal to symbol so we shade the below line.

Hence, y≤-3x+4 has lesser than or equal to symbol so we shade the below line.

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The measure of angle 11x+1 is 100°.

According to the question,

We have the following information:

We have a figure where two parallel lines are divided by a line. We know that the vertically opposite angles are equal. And when two parallel lines are cut by another line then the alternate interior opposite angles are equal.

Now, we have 10x+10 as the alternate opposite interior angle to 11x+1.

So, we have the following expression:

10x+10 = 11x+1

11x-10x = 10-1

x = 9

Putting the value of x in 11x+1:

11*9+1

99+1

100°

Hence, the measure of angle 11x+1 is 100°.

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Answer:

[tex]\left.\dfrac{\text{d}x}{\text{d}t}\right|_{h=2}\approx0.184\; \sf m/s[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

Given variables:

Given a = 8.9, use Pythagoras Theorem to create an equation for x² in terms of h²:

[tex]\implies x^2+h^2=a^2[/tex]

[tex]\implies x^2+h^2=8.9^2[/tex]

[tex]\implies x^2+h^2=79.21[/tex]

[tex]\implies x^2=79.21-h^2[/tex]

Differentiate with respect to h:

[tex]\implies 2x\dfrac{\text{d}x}{\text{d}h}=0-2h[/tex]

[tex]\implies \dfrac{\text{d}x}{\text{d}h}=-\dfrac{2h}{2x}[/tex]

[tex]\implies \dfrac{\text{d}x}{\text{d}h}=-\dfrac{h}{x}[/tex]

Given:

[tex]\dfrac{\text{d}h}{\text{d}t}=-0.8\; \sf m/s[/tex]

Therefore:

[tex]\begin{aligned} \dfrac{\text{d}x}{\text{d}t}&=\dfrac{\text{d}x}{\text{d}h}\times \dfrac{\text{d}h}{\text{d}t}}\\\\ \implies &=-\dfrac{h}{x} \times -0.8\\\\ &=\dfrac{0.8h}{x} \end{aligned}[/tex]

Calculate x when h = 2:

[tex]\implies x^2=79.21-2^2[/tex]

[tex]\implies x^2=79.21-4[/tex]

[tex]\implies x^2=75.21[/tex]

[tex]\implies x=\sqrt{75.21}[/tex]

Substitute the values of h and x into the equation for dx/dt:

[tex]\implies \dfrac{\text{d}x}{\text{d}t}=\dfrac{0.8 \times 2}{\sqrt{75.21}}=0.1844939751[/tex]

Therefore, the rate of the ladder's distance from the wall is 0.184 m/s (3 d.p.)

They spent 6.5 hours driving on local highways by travellin with diffrent average speeds.

Given that,

The bruins basketball team spent two more hours on the interstate than they did on local roadways during their 560-mile journey. They traveled at an average speed of 55 mph on interstates and 45 mph on local routes.

I=interstate

L=local

using d=rt the first rows gives you d=55t

the second row gives you 560-d=45(t-2)

Since the two distances add up to 560.  Add the two distance expression and set their sum equal to the given total

560=55t+45(t-2) which equals

560=55t+45t-90

650=55t+45t

650=100t

6.5=t

Hence on local roadways, they traveled at various average speeds for 6.5 hours.

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Answer:

1/2

Step-by-step explanation:

if you take the (2,2) and make it (6,10), you add 4 to the x and 8 to the y. putting this as rise over run (x/y) it comes out to four eighths (4/8). reducing that comes out to one half (4/8).

42 is value of ∠JNM because ∠JNM & ∠KNL are vertically opposite angles.

What is vertically opposite angles?

∠JNM = ∠KNL

4x + 6 = 7x - 21

7x - 4x = 21 + 6

   3x = 27

   x = 27/3

   x = 9

∠JNM = 4 * 9 + 6 = 36 + 6

∠JNM =  42

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Step-by-step explanation:

s = 17b

when b  =2:

s = 17b

s = 17(2)

s = 34

when b = 4

s = 17b

s = 17(4)

s = 68

- 13/12 is the value of trigonometric functions sec θ  .

What do trigonometric functions mean?

r = √( -12 - 0 )² + ( 0 - 5 )²

r = √144 + 25

r = √169

r = 13

Now we can calculate the trigonometric functions

 sinθ = y/r = 5/13

 cosθ = x/r = -12/13

 tan θ = y/x = - 5/12

  cot θ = x/y = -12/5

   sec θ = r/x = - 13/12

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Answer:

a = 3, b = 12

Step-by-step explanation:

x^2-6x-3=(x-a)^2-b

Lets expand the right side:

(x-a)^2-b = (x-a)(x-a)-b

(x-a)(x-a)-b = x^2 -2ax + a^2 - b

The left side is equal to the right, as per the original equation:

x^2-6x-3 = x^2 -2ax + (a^2 - b)

Compare each term:

1)  x^2 = x^2 OK

2) -6x = -2ax;  a = 3 so that -6x = -2(3)x

3)  -3 = (a^2-b);  a^2 = (b-3)

    a = [tex]\sqrt{b-3}[/tex]

   a is 3, from above

    3 =  [tex]\sqrt{b-3}[/tex]

9 = b-3

b = 12

1. 3x + 9 = -4.5x + 20 ; This is true for one value of x.

2. 9(x + 3) = 9x + 12 ; This is true for no values of x.

3. 4(2x + 3) = 12 + 8x ; True for any values of x.

Given,

The equations;

1. 3x + 9 = -4.5x + 20

2. 9(x + 3) = 9x + 12

3. 4(2x + 3) = 12 + 8x

We have to find whether each equation is true for all, one or no values of x.

Here,

1. 3x + 9 = -4.5x + 20

Solve for x;

3x + 4.5x = 20 - 9

7.5x = 11

x = 11/7.5

x = 1.47

Then,

This is true for one value of x.

2. 9(x + 3) = 9x + 12

Solve using distributive property;

9x + 27 = 9x + 12

9x - 9x = 12 - 27

0 = -15

This is true for no values of x.

3. 4(2x + 3) = 12 + 8x

Use distributive property and solve;

8x + 12 = 12 + 8x

8x - 8x = 12 - 12

0 = 0

True for any values of x.

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Answer:zh  0 89 1 87.6

Step-by-step explanation: 0 89 1 87.6

Maggie's age is less than or equal to 11, m ≤ 11

An inequality can simply be described as a relation that makes an unequal comparison between two objects, numbers, elements or mathematical expressions.

It is used to compare numbers on the number line on the basis of their sizes

From the information given, we have that;

Let's substitute the values

5m + 4 + m ≤ 70

Now, let's collect like terms

6m ≤ 70 - 4

Subtract like terms

6m ≤ 66

Make 'x' the subject of formula by dividing both sides by its coefficient

m ≤ 66/ 6

m ≤ 11

Hence, the value is m ≤ 11

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The correct order is -3/10, -0.2, 2.02, 4.22, 4 1/8 .

Firstly we will convert the fractions into decimal units i.e

-3/10 = -0.3

41/8 = 5.125

We know that the higher the number in negative number line lower will the value of it so the -0.3 < -0.2

Now we can easily arrange these numbers according to the number line i.e;

Negatives will be first to come on number line and the correct order will be as follow :

-0.3 , -0.2,  2.02, 4.22, 4 1/8

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Answer:

Probably b or c. Not great with probabilities.

Answer:

Step-by-step explanation:

When x varies inversely as the square root of y, and x=1 when y=4, you want to find ...

The given relation can be written using a constant of proportionality as ...

  x = k/√y  . . . . x varies as the inverse of the square root of y

The value of k can be found from the given values for x and y:

  1 = k/√4 = k/2

  2 = k . . . . . . . . . multiply by 2

The relationship between x and y can be written as ...

  x = 2/√y

Solving for y, it can also be written as ...

  y = 4/x²

The value of x is ...

  x = 2/√9

  x = 2/3

The value of y is ...

  y = 4/12² = 4/144

  y = 1/36