combine the like terms to simplify the expression 3x-4+2x+8

Answer:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true

Answer:

No solution

Step-by-step explanation:

The solution x = 0 means that the value 0. “No solution” means that there is no values

The ordered pair that is on g(x) is (2, -3/400)

determine the ordered pair:

The function is given as:

f(x)=3/4(10)∧-x

The rule of reflection across the x-axis is:

g(x) = -f(x)

So, we have:

g(x) = -3/4(10)∧-x

Set x = 2.

So, we have:

g(2) = -3/4(10)∧-2

Evaluate the exponent

g(2) = -3/4 * 1/100

Evaluate the product

g(2) = -3/400

This means that:

(x, y) = (2, -3/400)

Hence, the ordered pair that is on g(x) is (2, -3/400)

Ordered pairs are pairs of two numbers (or variables) that are enclosed in parentheses and separated by commas. For example, (1, 2) is an ordered pair. Coordinate geometry represents points, and set theory represents elements of relations / Cartesian products.

Ordered pairs are pairs of numbers in a particular order. For example, (1, 2) and (-4, 12) are ordered pairs. The order of the two numbers is important. (1, 2) is not equivalent to (2, 1)-(1, 2) ≠ (2, 1).

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So the value of the line integral given point scale is \(\frac{15}{16}\) -4cos6-6 .

To evaluate the line integral X signed by ideas oversee. Where C is the line segment from 2 to 36

First we find the vector determined by the two points

So ,

36 -2 = 34

Starting point is 2.

The segment can be para militarized as vitally equal to 2+3T+40 =3T 2+40 .

They belonging to close interval 0- one. Next we find the derivative of the Para militarism action y¹T= 34.

This implies the strength of y¹T = \(\sqrt{3^{2}+4^{2} }\)

= 5

Finally we calculate the integral X signed by ideas oversee which is equal to treaty sign 2+ 40×DT Over 0- one.

Now report 2+ 40 equal to you. So implies 4DT is equal to DU and when T is equal to zero.

20=U

So next this integral becomes 15×2 to 6 Juju -2 x 4.

Comes out to be 15 x 16. 0-2. Sign your deal. Now applying integration by parts.

We have 15 x 16. 0-2 cause you plus integration of causal deal Limit 2- 6.

Now we have 15/16. On applying the limits -4 cos six plus sign 6- sign too.

So therefore final answer becomes \(\frac{15}{16}\) -4cos6-6 .

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Answer:

1620 cm²

Step-by-step explanation:

Area of trapezium=½(a+b)×height

Area of teapezium=½(6+18)(9)= 108 cm²

Volume of trapezoidal prism= 108×15= 1620 cm³

Answer:

1620cm^2

Step-by-step explanation:

For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.

The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).

Here, the population standard deviation, and level of significance are the same.

As the margin of error increased.

So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size

\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)

As the margin of error is in the denominator position in the sample size formula

Hence with an increase in the margin of error sample size decreases.

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Answer:

2x = 2x

Step-by-step explanation:

2x + 6 = 3x + 6 - x

2x = 3x - x(cancel equal terms)

2x=2x

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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We can find the x-value corresponding to a given f(x) by rearranging the equation and taking the square root of both sides.

At first, we will rearrange the equation to get the x-value in terms of f(x). After rearranging, the equation becomes x2 = (f(x) (x2 + 0.09))/100.

Then, we will take the square root of both sides of the equation to get the x-value in terms of f(x) alone. After taking the square root, the equation becomes x = √((f(x) (x2 + 0.09))/100).

Finally, we will substitute the values of f(x) in the equation to get the corresponding x-value. For example, if f(x) = 50, then x = √((50 (x2 + 0.09))/100). Solving this equation, we get x = 0.49.

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The domain of the Riemann zeta function, denoted by ζ(x), is the set of real numbers x for which the series ∑n=1 ∞ n^(-x) converges. The domain of the function can be expressed using interval notation as (-∞, 1).

To understand the domain of the Riemann zeta function, we need to consider the convergence of the series ∑n=1 ∞ n^(-x). The series converges when the real part of x is greater than 1. Therefore, the right half-plane Re(x) > 1 represents a region where the series converges.

On the other hand, when the real part of x is less than or equal to 1, the series diverges. This means that the left half-plane Re(x) ≤ 1 is excluded from the domain of the Riemann zeta function.

Combining these conditions, we find that the domain of the Riemann zeta function is (-∞, 1) in interval notation, indicating that the function is defined for all real numbers less than 1.

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Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

\(answer \\ = 4 \\ solution \\ to \: find \: the \: value \: of \: x \\ in \: an \: equilateral \: triangle \: all \: interior \\ angles \: are \: equal \: and \: measures \: 60 \: \\ degree. \\ 10x + 20 = 60 \\ or \: 10x = 60 - 20 \\ or \: 10x = 40 \\ or \: x = \frac{40}{10} \\ x = 4 \\ hope \: it \: helps\)

Answer:

\(x = 4\)

Step-by-step explanation:

in a equilateral triangle all the interior angles are equal and measure 60 degrees,

will solve now,

\(10x + 20 = 60 \\ 10x = 60 - 20 \\ 10x = 40 \\ \frac{10x}{10} = \frac{40}{10} \\ x = 4\)

hope this helps

Answer:

x=62

y=59

Step-by-step explanation:

yeah-ya.... right?

Answers:

(2, -3) and (3, -3)

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

Work Shown:

Since f(x) = -3, we'll replace f(x) with -3 and solve for x

f(x) = x^2 - 5x + 3

-3 = x^2 - 5x + 3 .... f(x) replaced with -3

0 = x^2 - 5x + 3 + 3 ... adding 3 to both sides

0 = x^2 - 5x + 6

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0 .... factor; you can also apply the quadratic formula

x-3=0 or x-2=0

x = 3 or x = 2

So that explains where that '2' comes from when they listed (2, ?)

-------------

To find what replaces the question mark, we will plug x = 2 into the function

f(x) = x^2 - 5x + 3

f(2) = 2^2 - 5(2) + 3

f(2) = 4 - 10 + 3

f(2) = -3

We could have skipped this portion and said that the solution is (2,-3) but plugging x = 2 into the function to get the output y = -3 helps confirm that x = 2 is one of the x solutions.

-------------

Let's do the same for x = 3

f(x) = x^2 - 5x + 3

f(3) = 3^2 - 5(3) + 3

f(3) = 9 - 15 + 3

f(3) = -3

We end up with the same output, so x = 3 is confirmed as well.

The graph below visually helps reinforce these confirmations. Each solution  is an intersection between the two curves.

Answer:

cool

Step-by-step explanation:

I'm not sure I'm just getting points

The earthquake off the coast of Vancouver Island, measured at 8.9 on the Richter Scale, was approximately 140 times more intense than the earthquake off the coast of Alaska, measured at 6.5.

The Richter Scale is a logarithmic scale used to measure the intensity of earthquakes. For every 1 unit increase on the Richter Scale, the earthquake's magnitude increases by a factor of 10. Therefore, to calculate the difference in intensity between the two earthquakes, we can use the formula:

Intensity ratio = 10^(Magnitude1 - Magnitude2)

For the Vancouver Island earthquake (Magnitude1 = 8.9) and the Alaska earthquake (Magnitude2 = 6.5), the intensity ratio is:

Intensity ratio = 10^(8.9 - 6.5) ≈ 140.39

Rounding to the nearest whole number, we find that the Vancouver Island earthquake was approximately 140 times more intense than the earthquake off the coast of Alaska.

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Answer:

The answer is 2.

Step-by-step explanation:

You have to substitite x = -0.5 into the function :

f(x) = 2x + 3

f(-5) = 2(-0.5) + 3

f(-5) = 2

Answer:

2 solutions, one positive and one negative

Step-by-step explanation:

A positive times a positive is always positive and a negative times a negative is always positive. Example square root of 9 is -3 and 3. 3x3=9 and -3 x -3= 9

Answer:

As shown in picture,

perimeter of inside pentagon: p1 = n + n + n + n + n = 5n

ratio between inside pentagon and outside pentagon: r = 6/(6 + 6) = 1/2

=> perimeter of outside pentagon: p2 = 2 x p1 = 2 x 5n = 10n

=> Option B is correct

Hope this helps!

:)

Answer:

I think answer is

D. X=4

:-))

Answer:

Hello the required image is missing attached below is the missing box

answer : FHGE

Step-by-step explanation:

The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.

Answer:

y=-2x+5; slope is -2

Step-by-step explanation:

slope is rise/run. we can see it rises 2 and goes left one which would give us rise/run=2/-1=-2. that is our slope.

using y=mx+b to write the equation, m is slope and b is the y-int.. we can see that the y-int. is (0,5). we can plug 5 into b.

plugging b and m in we can get the equation: y=-2x+5

after simplifying the logarithm expression log₆ 8 + 2log₆ 3 + log₆ 12 - log₆ 24, we get the result as log₆ 36.

We are given the logarithm expression as:

log₆ 8 + 2log₆ 3 + log₆ 12 - log₆ 24

Now, we can also write 2log₆ 3 as:

2log₆ 3 = log₆ 3²

So, the logarithm expression will become:

log₆ 8 + log₆ 3² + log₆ 12 - log₆ 24

Now, we will use the property that is:

logₐ x + logₐ y = logₐ (x × y)

So, we get the logarithm expression as:

log₆ ( 8 × 3² × 12   / 24)

=log₆ (8 × 9 × 12  / 24)

= log₆ (36)

= log₆ 36

Therefore, after simplifying the logarithm expression log₆ 8 + 2log₆ 3 + log₆ 12 - log₆ 24, we get the result as log₆ 36.

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Answer:

..............................

The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).

Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or

\(e = y – \hat y \).

In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.

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Complete question:

we desire the residuals in our model to have which probability distribution? select answer from the options below

a) normal

b) binomial

c) poisson

The value of m∠JKL is 34°

An angle formed by a tangent and a secant intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.

Based on the theorem above, we can say:

m∠JKL = 1/2 * (159 - 91)

m∠JKL = 1/2 * 68

m∠JKL = 34°

Therefore, the value of m∠JKL in the circle is 34°.

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Answer:

Step-by-step explanation:

3y+6x-2y=2

then group like terms 3y-2y+6x=2

then{Add similar elements)

y+6x=2

then sub from both sides

y+6x-y=2-y

{Simplify}

6x=2-y

divided both sides by 6

\frac{6x}{6}=\frac{2}{6}-\frac{y}{6}

x=\frac{2-y}{6}

Answer:

27

Step-by-step explanation:

x-15=12

add fifteen to both sides

x-15+15=12+15

x=27

Answer:

27

Step-by-step explanation:

27-15=12

Answer:

3 f(x)

Step-by-step explanation:

f(x) + f(x) + f(x)

We have 3 of the functions

3 f(x)

Answer:

t = 5 years

online readership will exceed physical sales in 5 years

Step-by-step explanation:

The number of physical readership can be represented by the equation;

P(t) = 120 - 6t

The number of Online readership can be represented by the equation;

K(t) = 60 + 8t

For online readership to exceed physical sales

K(t) > P(t)

60 + 8t > 120 - 6t

Collecting the like terms;

8t+6t > 120-60

14t>60

t > 60/14

t > 4.29

To the nearest year greater than 4.29.

t = 5 years

online readership will exceed physical sales in 5 years

Answer: x = 20

Step-by-step explanation:

The angles are corresponding angles so they are equivalent to each other. To solve for x, we set them equal and then solve for x.

65 = 3x + 5

60 = 3x

x = 20

Answer:

the other person has it right- it's x =20