Solve for x
4x = -5
Put the answer in its simplest form.

The Distributive Property holds as both sides of the given equality are equal.

The distributive property means that the outer time of the expression multiplies each of the inner terms of the expression. Then, these terms may be combined, if they contain like-terms.

The left-hand side of the expression is given as follows:

2/5(4/3 - 1/3).

Applying the distributive property, it is found that:

Subtracting them, it is found that:

2/5(4/3 - 1/3) = 8/15 - 2/15 = 6/15 = 2/5. (as both 6 and 15 are divided by 3).

The right-hand side of the expression is:

2/5 x 4/3 - 2/5 x 1/3

Multiplication takes precedence over subtraction, hence:

2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15

Same denominator, hence the numerators can be subtracted as follows:

8/15 - 2/15 = 6/15 = 2/5. (as both 6 and 15 are divided by 3).

Both sides of the expression have the same value, hence the distributive property holds for this problem.

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To represent the yearly rainfall in a graph, eric should use the Bar Graph

which is commonly used worldwide

Bar Graph:

The graphic representation of data in the form of vertical or horizontal bars or rectangular strips having uniform width is called bar graphs.

A bar graph is used to give the comparison between two or more groups. It comprises of two or more parallel vertical (or horizontal) rectangles.

With bar graphs, we can compare data sets from different groups. The graph depicts groups on one axis and a discrete value on the other. The main purpose is to display the relationship between the two axes.

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The line of equation (y + 3x = 10) passes through all the points in the given table.

So, the equation will be:

Points:

We know that when x = 0, then y = 10 and when we will increase x = 1, then y will decrease to y = 7.

Then, y + 3x = 10 can be the equation.

Lets, 's check:

When x = 0:

When x = 1:

When x = 2:

When x = 3:

Since all the values of x and y are in proportion now, (y + 3x = 10) is the equation.

Therefore, the line of equation (y + 3x = 10) passes through all the points in the given table.

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The Approximation of 14 plus cube root of 81 to the nearest tenth is 18.0

The concept that will be used to solve this is finding cube root of 81 which same thing as [tex]81^{\frac{1}{3} }[/tex].

Firstly we will need to find the  cube root of 81, which can be expressed as this: [tex]\sqrt[3]{81}[/tex]  and this can be calculated as 4.33.

This implies that the cube root of 81 will now be 4.33.

Then we can proceed to the simplification that was asked from the question which is 14 plus cube root of 81 and this can be expressed as ( 14) + (4.33) = 18.33

Then we were told to express in the the nearest tenth which is 18.0

Therefore, the third option is correct.

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8x² + 16x = 42​

x² + 16/8x = 42​/8 dividing by 8 at both sides

x² + 2x = 5.25

x² + 2x - 5.25 = 0

If we compute (x + 1)², we get:

(x + 1)² = x² + 2*x*1 + 1² = x² + 2x + 1

Then,

x² + 2x - 5.25 + 1 - 1 = 0

(x² + 2x + 1) + (-5.25 - 1) = 0

(x + 1)² - 6.25 = 0

(x + 1)² = 6.25

x + 1 = √6.25

This has 2 solutions,

x + 1 = 2.5 or x + 1 = -2.5

x = 2.5 - 1 x = -2.5 - 1

x = 1.5 x = -3.5

The five solutions of the equation y = 6x - 8 for x starting with -2 and ending with 2 are: (-2, -20), (-1, -14), (0, -8), (1, -2) and (2, 4)

In this question, we have been given an equation y = 6x - 8

We need to find five solutions of the equation select integer values for x starting with -2 and ending with 2.

For x = -2,

y = 6(-2) - 8

y = -20

For x = -1,

y = 6(-1) - 8

y = -14

For x = 0,

y = 6(0) - 8

y = -8

For x = 1,

y = 6(1) - 8

y = -2

For x = 2,

y = 6(2) - 8

y = 4

Therefore, five solutions of the equation y = 6x - 8 for x starting with -2 and ending with 2 are: (-2, -20), (-1, -14), (0, -8), (1, -2) and (2, 4)

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Solution

Note: The formula to use is

Where m and b are given by

the b can also be given as

The table below will be of help

We have the following from the table

Substituting directing into the formula for m to obtain m

to obtain b

Therefore,

Therefore,

To the nearest tenth

The least square method didn't give an accurate answer, so we use a graphing tool to estimate instead

Here

m = 0.5 (to the nearest tenth)

b = -23.5 (to the nearest tenth)

The answer is

We get 1.45 dollars per pound when we convert 3.2 Euros per kilogram to dollar per pound.

According to the question,

We have the following information:

3.2 Euros per kilogram

We need to convert its units into dollars per pounds.

We know that 1 Euro is approximately equal to 1 US dollar and 1 kilogram of weight is equal to 2.205 pounds.

(Note that there are various conversions from Euro to dollars which have 1 Euro equal to 1.00755 and many other values. In this case, we have rounded it off to 1 to avoid any confusion.)

(We know that per means the unit given is in divide.)

So, we have:

(3.2*1)/(1*2.205)

3.2/2.205

1.45 dollar per pounds

Hence, the conversion to dollars per pounds is 1.45 dollar per ponds from Euros per kilogram.

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The domain of a function or coordinates of a function are the input values of the function "x" for which the function exists.

For instance, given the coordinates of the function {(-7, 2), (0, -2), (2, 5), (8, 1)}, the corresponding value of the x-coordinates are the domain. Therefore the domain of the given coordinate points are given as;

Get the value of f(2).

To get the value of f(2), we will find the y-value of the coordinate with a domain of 2. From the given coordinates, we can see that the coordinate that has a domain of 2 is (2, 5) and the corresponding y-value of the coordinate is 5. Hence f(2) = 5

Answer:

f(0) = -1

Step-by-step explanation:

to find this out we must first plug in 0 to the equation

f(0) = -0^2 + 4(0) - 1

now solve it

f(0) = 0 + 0 - 1

f(0)=  - 1

that is your answer

recommend using graph paper bcuz u can see ur answer that way w/o solving :)

Answer:

5(5m + 2)

Explanation:

To factor out the expression, we first need to find the greatest common factor between 25m and 10, so the factors if these terms are:

25m: 1, 5, m, 5m, 25m

10: 1, 2, 5, 10

Then, the common factors are 1 and 5. So, the greatest common factor is 5.

Now, we need to divide each term by the greatest common factor 5 as:

25m/5 = 5m

10/5 = 2

So, the factorization of the expression is:

25m + 10 = 5(5m + 2)

The derivative of the given expression ln(x)cos(x) can be written as (cos(x))/x - sin(x)ln(x).

What is derivative?

In mathematics, the derivative of a function of a real variable measures how sensitive the function's value (or output value) is to variations in its argument (input value). The derivative is the fundamental tool in calculus. A measure of how quickly an object's position changes over time is its velocity, which is the derivative of that object's position with respect to time.

We can solve this derivation using multiplication property of derivatives:

i.e. [tex]\frac{d}{dx}(uv) = u\frac{dv}{dx} + y \frac{du}{dx}[/tex]

In the given question, lets consider ln(x) as u and cos(x) as v

putting the values from question.

[tex]\frac{d}{dx}(ln(x)cos(x)) = ln(x)\frac{d(cos(x))}{dx} + cos(x) \frac{d(ln(x))}{dx}[/tex]

[tex]= ln(x)(-sin(x)) + cos(x)(\frac{1}{x})[/tex]

= (cos(x))/x - sin(x)ln(x)

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Answer:

None are solutions.

Step-by-step explanation:

Divide each value of y by 2 and see if it equals 6. If it does, then it is a solution. If it doesn't then it isn't a solution.

6 ÷ 2 = 6

3 ≠ 6

not a solution

16 ÷ 2 = 6

8 ≠ 6

not a solution

10 ÷ 2 = 6

5 ≠ 6

not a solution

14 ÷ 2 = 6

7 ≠ 6

not a solution

Answer: 3 years it started in Europe in 1914 and the USA got involved in 1917

Step-by-step explanation:

Here the chords are intersecting outside hence

Hence the answer is y=5

To answer this question, we can proceed as follows:

1. Let x be the cost of a cup of coffee.

2. Let y be the cost of a doughnut.

Then, we can express the question, algebraically, as follows:

Now, we can solve this linear equation system by

Explanation

We are asked to simplify the given question

To simplify the terms, we will follow the steps below

Step 1: simplify the terms in the bracket using the exponential rule

Thus for the terms in the parentheses

Hence

Simplifying further

Step 2: substitute the value obtained above in step 1 into the parentheses, so that

Step 3: Simplify further, we will apply the rule

so that

Simplifying further

Hence, our final answer is

Speed is the time rate at which an object is moving along a path. Then 0.6×10-8 years will the spaceship take to reach the extrasolar planet.

Speed is the time rate at which an object is moving along a path.

The formula for speed is distance/time

Given that

An extrasolar planet is observed at a distance of 4.2 x 10° kilometers away.

Distance= 4.2 x 10°

A group of scientists has designed a spaceship that can travel at the speed of 7 x 10⁸ kilometers per year

Speed = 7 x 10⁸

Time we need to calculate

Time =Distance/speed

Time = 4.2 x 10°/7 x 10⁸

=0.6×10⁻⁸

Hence 0.6×10-8 years will the spaceship take to reach the extrasolar planet.

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1) Solving that absolute value equation:

|2x+5|=13 Applying the absolute value eq. property

2x +5 = 13 subtracting 5 from both sides

2x = 13-5

2x= 8 Dividing by 2

x =4

2x +5=-13 subtracting 5 from both sides

2x = -13-5

2x = -18 Dividing by 2

x= -9

Then x=4 or x =-9

2) The equations 2x +5 =13 and 2x +15= -13

Resulting in x=4 or x =-9

By identifying the intercepts in the given image, we conclude that the solutions of the system of equations are points B and F.

When we have a system of 2 equations:

y = f(x)

y = g(x)

To solve it graphically, we have to graph both functions in the same coordinate axis and see in which points the graphs intercept (if they do). Each of these interceptions in the form (x, y) will be a solution for the equation f(x) = g(x) = y

In this case, we can see a line and a parabola (each of these is a different equation from the system), and we can see that the graphs intercept at points F and B (i think, the image is really small). Then the two solutions of the system of equations graphed are the points F and B

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Answer:

solution: F and B

NOT solution: the rest of the letters

Step-by-step explanation:

I did the work on imagine math

Answer: 4 part yogurt 6 part blueberries

Step-by-step explanation: 2+3=5 5x2=10 3x2=6 2x2=4 6+4=10

The first step to solve this problem is to rewrite the equation in slope intercept form, to do it, solve the given equation for y:

According to this, the slope of the line is 1.

The y intercept is (0,-3).

The line graphed should look like this:

Given that f(x) = 3 sin (2x) + 1

Given that : a sin (bx + c ) + d

let a = amplitude,

Midline is the that runs between the maximum and minimum value

Period is calculated as

Frequency = 1 / period

If the polynomial function be P(x) = [tex]x^4[/tex] − 3x³ + 2x² then Zeros exists at x = 0, 0, 1, 2.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that exists combined utilizing mathematical operations like addition, subtraction, multiplication, and division exists directed to as a polynomial (No division operation by a variable).

Let the polynomial function be P(x) = [tex]x^4[/tex] − 3x³ + 2x²

P(x) = x²(x² - 3x + 2)

factoring the above polynomial function, we get

P(x) = x·x(x - 1)(x - 2)

Zeros exists at x = 0, 0, 1, 2

P(x) exists degree 4, so it will contain four roots. You only entered three which exists probably why it came up as wrong. The x² term contains a multiplicity of 2, so it counts twice.

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Let us first change the 80° to radians.

so we get that the area is

so the area is 32pi square yards

The solution of the equation is s=2.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=7x+1. Where:

m= the slope. It can be calculated for Δy/Δx .

b= the constant term that represents the y-intercept.

For the given example: m=7and b=1.

For solving this question you should replace x for the given values ( −1, 0, 1, 2) in the equation 4s − 14 = −6. If you obtain -6, the value of s is a solution.

For s= -1 -> 4*(-1)-14= -4 -14= -20. Therefore, s=-1 is not the solution.

For s= 0 -> 4*(0)-14= 0 -14= -14. Therefore, s=0 is not the solution.

For s= 1 -> 4*(1)-14= 4 -14= -10. Therefore, s= 1 is not the solution.

For s= 2 -> 4*(2)-14= 8 -14= -6. Therefore, s=2 is the  solution.

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The solution that we have that would have to do with the measurement of the unknown side would be 12.

How to solve for the unknown

The Pythagoras theorem says that the length of the suym of the square of a triangle is the same as the sum of the square of the other two sides.

From the definition that we have above.

We have the shortest side as 5.

The longest side as 13

Then we would have

13² - 5² = 25 - 169

= 144

Next we would have to take the square root of 144

= √144

= 12

Hence we would say that the length of the unknown is given as 12

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Answer:

Major axis (0, +-14)

Explanation:

The equation of an ellipse with the center in the origin is:

So, to transform the equation into this form, we need to divide both sides by 784 as:

It means that a² = 16 and b² = 49. So, a = ±4 and b = ±7

Now, the major axis is 2 times the greater value between a and b. Since the greater value is b = 7, 2 times b is:

Major axis = (0, ±7*2) = (0, ±14)