The x-intercept of f(x) is 5. If g(x)=f(x+2), then what is the x-intercept of g(x)?

Answer:

67.5

Step-by-step explanation:

ok easy it cost $90

90/100=0.9

0.9*25=22.5

90-22.5

67.5

Answer:

In ∆ABC AND ∆DEF

ABC=DEF...........each 90°

SIDE AB =SIDE ED...........given

SIDE BC =SIDE EF............B-F-C and E-C-F

∆ABC =∆DEF....................by SAS test

Given

The parallelogram,

To name all pairs of congruent triangles in the given parallelogram.

Explanation:

It is given that,

That implies,

The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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Answer:

9 people per row

Step-by-step explanation:

63/7=9

let me now if right

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

Geometric mean of a and b: Square root of axb.

16x64 = 1024

Square root of 1024: 32.

So, the geometric mean is 32.

Hope this helps!

The additional information is needed to prove the triangles congruent by ASA is  <  A ≅ < D

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Triangle congruent rules include

Angle - Side - Angle = ASA

Side - Angle - Side = SAS

Side -  Side - Side = SSS

Angle - Angle - Side = AAS

Hypotenuse and one leg = HL

The question is asking for the prove by Angle - Side- Angle = ASA to ensure that the triangles are congruent

In Angle - Side - Angle = ASA the two triangles being compared should have their two angles side by side to the Side used for the prove Or we say the two angles have the side included

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Answer:

f(-8) = 45

Step-by-step explanation:

Step 1: Define

f(x) = -6x - 3

x = -8

Step 2: Substitute and Evaluate

f(-8) = -6(-8) - 3

f(-8) = 48 - 3

f(-8) = 45

The option that is not a statistical question is D. how tall are the corn plants?

A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.

Therefore, based on the information illustrated, the correct option is D. It was too general and not specific

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The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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Function is

Put 84.00$

\(\\ \tt\hookrightarrow 84.00+0.1(84.00)\)

\(\\ \tt\hookrightarrow 84.00+8.4\)

\(\\ \tt\hookrightarrow 92.4\)

May I have the crown please?

Answer:

Who’s there?

Tank.

Tank who?

You’re welcome.

Who’s there?

Luke.

Luke who?

Luke through the peep hole and find out.

Who’s there?

Figs.

Figs who?

Figs the doorbell, it’s not working!

Who’s there?

Hal.

Hal who?

Hal will you know if you don’t open the door?

Who’s there?

Says.

Says who?

Says me!

Who’s there?

Euripides.

Euripides who?

Euripides clothes, you pay for them!

Step-by-step explanation:

Answer:

(-10,8)(0,12)(4,-20)

Step-by-step explanation:

You just have to insert the points into the equation and then solve.

Ex: 2(4)-20=-12- True

Step-by-step explanation:

need a thanks and thats it...

The ladder and the top of the building form a right triangle

The building is 20.8 feet tall

The given parameters are:

The height (h) of the building is calculated using the following Pythagoras theorem

L^2 = b^2 + h^2

So, we have:

39^2 = 33^2 + h^2

Evaluate the exponent

1521 = 1089 + h^2

Rewrite as:

h^2 = 1521 - 1089

h^2 = 432

Take the square root of both sides

h = 20.8

Hence, the building is 20.8 feet tall

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Answer:

5

Step-by-step explanation:

Answer:

the answer is b on edge

Step-by-step explanation:

ok

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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Answer:

Step-by-step explanation:

Let burgers - b, fries - f

Double the first equation and subtract the second equation:

Find f:

There are 1820 different groups of applicants for 4 management trainee positions, 126 different groups of trainees consisting entirely of women, and a 0.0692 probability that the trainee class will consist entirely of women.

The number of different groups of applicants that can be selected for the four management trainee positions can be calculated using the combination formula:

nCr = n! / (r! * (n-r)!)

where n is the total number of applicants (16 in this case) and r is the number of positions to be filled (4 in this case).

So the number of different groups of applicants that can be selected is:

16C4 = 1820

Therefore, there are 1820 different groups of applicants that can be selected for the four management trainee positions.

The number of different groups of trainees that would consist entirely of women can be calculated using the combination formula again, but this time we are selecting all 4 positions from the 9 female applicants:

9C4 = 126

Therefore, there are 126 different groups of trainees that would consist entirely of women.

Assuming that all groups of four are equally likely to be selected, the probability that the trainee class will consist entirely of women can be calculated by dividing the number of different groups of trainees that consist entirely of women (126) by the total number of different groups of applicants (1820):

Probability = 126 / 1820 = 0.0692

So the probability that the trainee class will consist entirely of women is 0.0692 (rounded to four decimal places).

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Answer:

c. 35 shrubs

Step-by-step explanation:

\( \frac{37.1 \times 15}{15.9} = 35 \)

Answer:

the answer is :c^5 b^3

Answer:

Factor 2x out  of 6x-4x^2

2x(3-2x)

Hope this helps :)

Answer:

Reflection

Step-by-step explanation:

With a reflection, a shape is mirrored across a line. So, while its position is changed, the points end up getting flipped too. In this problem, you can imagine a diagonal line goes right through the center of the two shapes shown (the original and its mirror). The line would be equidistant from L and G; it would be equidistant from B and D; it would also be equidistant from U and O. If you were to mirror B, U, and L across this line, you would get your reflection points D, O, and G.

The shape BUL is mirrored over a diagonal line to get DOG, which means it is a reflection

The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

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Using the algebraic expression that models the cost of burgers and hotdogs, the cost of 4 burgers and 6 hot dogs is $25.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An algebraic equation is the equality of expressions.

If the expression 3.25b + 2h gives the cost of b burgers and h hotdogs, and we want to determine the cost of 4 burgers and 6 hot dogs, then plug in the values and solve the equation.

cost = 3.25b + 2h

cost = 3.25(4) + 2(6)

cost = 13 + 12

cost = 25

Hence, the cost of 4 burgers and 6 hot dogs is $25.

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The caloric content in candy A is 269 and that of candy B is 255.

The caloric content is the quantity of energy required to increase the temperature of one liter of water by one degree. A calorimeter was initially used to determine a food's calorie count.

Let us consider:

Caloric content of Candy A = x

Caloric content of Candy B = y

We can thereby make two equations:

Eqn 1: 1x + 2y = 779

Eqn 2: 2x + 1y = 793

By elimination method, we have

2x + 4y = 1558

Solving for x by subtracting with Eqn 2, we have,

3y = 765

y = 765 ÷ 3

y = 255.

Now substituting the value of y in Eqn 2, we have:

2x + 1y = 793

2x + 1 × 255 = 793

2x + 255 = 793

2x = 793 - 255

2x = 538

x = 538 ÷ 2

x = 269.

Hence caloric content in candy A is 269 and that of candy B is 255.

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\(\\ \rm\dashrightarrow x^{\frac{2}{7}}\)

\(\\ \rm\dashrightarrow x^{2(1/7)}\)

\(\\ \rm\dashrightarrow \sqrt[7]{x^2}\)

And

\(\\ \rm\dashrightarrow \sqrt[3]{2y}\)

\(\\ \rm\dashrightarrow 2y^{\frac{1}{3}}\)

Answer:

see below

Step-by-step explanation:

Problem-1:

\( {x}^{ \frac{2}{7} } \)

remember that,

\(\displaystyle {x}^{ \frac{a}{b} } = \sqrt[b]{ {x}^{a} } \)

here,

hence,

\( {x}^{ \frac{2}{7} } = \boxed{\sqrt[7]{ {x}^{2} } }\)

Problem-2:

recall that,

\( \sqrt[n]{x} = {x}^{ \frac{1}{n} } \)

therefore,

\( \sqrt[3]{2y} = (2y {)}^{ \frac{1}{3} } \implies \boxed{{2 }^{ \frac{1}{3} } {y}^{ \frac{1}{3} } }\)

Answer:

b

Step-by-step explanation: