An equivalent equation has been written by multiplying the second equation by 2. 4x – 9y = 7 4x – 9y = 7 2(–2x + 3y = 4) → –4x + 6y = 8

Answer: The correct option is second.

Explanation:

The given function is,

[tex]f(x)=5(0.8)^x[/tex]

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

[tex](x,y)\rightarrow(x,-y)[/tex]

The given given equation can be written as,

[tex]y=5(0.8)^x[/tex]

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

[tex]-y=-5(0.8)^x[/tex]

Because f(x)=y and g(x)=-y.

[tex]g(x)=-5(0.8)^x[/tex]

Therefore the second option is correct and the graph of both function is given below.

Answer:

B. g(x) = –5(0.8)^x

Step-by-step explanation:

We have the function, [tex]f(x) = 5(0.8)^x[/tex].

It is required to reflect the function about x-axis.

Now, as we know,

Reflection across x-axis will flip the graph of the function and the function [tex]f(x)[/tex] becomes [tex]-f(x)[/tex].

So, the reflection of [tex]f(x) = 5(0.8)^x[/tex] across x-axis will give the function [tex]f(x) = -5(0.8)^x[/tex]

So, we see that,

Option B i.e. [tex]g(x) = -5(0.8)^x[/tex] is correct.

Answer:

Carlos bought a new Mastercraft boat for $17,000. He made a $2,500 down payment on it. The bank's loan was for 60 months, and the finance charges totaled $4,900. What's his monthly payment?  

A. $323.33

B. $232.33

C. $313.33

D. $332.33

Step-by-step explanation:

1.- Carlos paid $ 2,500 of the $ 17,000 that Mastercraft costs and would be equal to: $ 17,000 - $ 2,500 = $ 14,500

2.- We have financial charges amounting to $ 4,900 to be added to the previous amount, and would be equal to: $ 14,500 + $ 4,900 = $ 19,400

3.- The bank loan is for 60 months, which would result in: $ 19,400 / 60 = $ 323.33

The answer is: A. $ 323.33

Answer:

4.5

Step-by-step explanation:

Final answer:

To find the number when decreased by 10%, set up an equation and solve for the number.

Explanation:

When a number decreased by 10% the result in 63. What is the number?

Let the number be x.

Equation: x - 0.10x = 63

Solve for x: 0.90x = 63 => x = 63 / 0.90 = 70

The statement, "Isosceles triangle may be obtuse or acute but not right", is a false statement.

Isosceles triangles can be defined as triangles that have two sides (angles) having equal measures.

Obtuse triangles have at least one angle greater than 90°.

Acute triangles have all three angles less than 90°.

Right triangles have one of the angles 90°.

Consider a right triangle ABC.

So, one of the angles, let it be A, will be right.

So, m ∠A = 90°.

By the angle sum property of triangles,

90° + m∠B + m∠C = 180°

m∠B + m∠C = 90°

Let both angles are having equal measures, let it be x.

x + x = 90°

2x = 90°

x = 45°

So, each of the angles has a measure of 45°, and so is an isosceles triangle since the two angles are equal.

So, a right triangle can be isosceles.

Hence the statement is false.

Learn more about Isosceles Triangles by following the link given below:

https://brainly.com/question/29774496

#SPJ4

Answer: C

Step-by-step explanation:

Answer:

C. the image and pre-image are congruent.  

Step-by-step explanation:

a triangle is reflected across the line x=2

Check with each option

A. the image and pre-image have the same orientation.

The image will not be in same order

B. the image and pre-image have different sizes. the size will not change

C. the image and pre-image are congruent. the reflection will not change the size. so they are congruent

D. the image and pre-image are separated by a given angle.

The angles never change in reflection

Answer:

Step-by-step explanation:

greder

Part 1: Q is less than P.

Part 2: The density of silver (Q) is higher than that of iron (P), indicating that silver has a greater mass per unit volume, making P greater than Q.

Part 1: The value of Q is less than the value of P.

Part 2: This conclusion can be drawn by comparing the densities of the two substances, iron, and silver. Density is calculated by dividing mass by volume (D = m/V), and since the mass of iron (100g) is equal to the mass of silver (100g), we can simplify the comparison by focusing on their densities.

The density of iron (7.8 g/cm^3) is significantly less than the density of silver (19.3 g/cm^3). Density is a measure of how much mass is packed into a given volume, so the higher the density, the more mass is concentrated in a smaller space. In this case, silver is much denser than iron, which means that for an equal mass, silver occupies a smaller volume compared to iron.

Since Q represents the density of silver and P represents the density of iron, and the density of silver (Q) is greater than the density of iron (P), we can conclude that Q is indeed less than P. The higher density of silver implies that it has a greater mass concentrated in the same volume. The value of Q is less than the value of p.

For more such questions on density

https://brainly.com/question/1354972

#SPJ3

Answer:

18

Step-by-step explanation:

Edge 2021 (^Just to back up the answer above, so nobody feels doubts^.)

We have that the sides of the polygon   is mathematically given as

n=20

Option C

From the question we are told

A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°.

How many sides does the polygon have? 10 12 18 20

Generally the equation for the Polygon exterior angle  is mathematically given as

[tex]\theta=\frac{360}{n}\\\\18=\frac{390}{18}[/tex]

n=20

OptionC

For more information on Arithmetic visit

https://brainly.com/question/22568180

The width of the rectangular room is 6 meters.

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

Let the width of the rectangular room, w = x

A rectangular room is twice as long as it is wide,

length of the rectangular room, l = 2x

The perimeter of the rectangle = 36 meters.

The formula of perimeter of rectangle is

[tex]P=2(w+l)[/tex]

⇒ [tex]36=2(x+2x)[/tex]

⇒ [tex]36=2(3x)[/tex]

⇒ [tex]x=\frac{36}{6}[/tex]

⇒ [tex]x=6[/tex]

Hence we can conclude that the width of the rectangular room is           6 meters.

Learn more about the rectangles here

brainly.com/question/15725265

#SPJ2

The value of x is 17.

To find the value of x when (7x) and (2x+27) are the two angles made on a straight line, we can use the fact that the sum of the angles on a straight line is 180 degrees.

Let's set up an equation:

(7x) + (2x+27) = 180

First, we simplify the equation by combining like terms:

9x + 27 = 180

Next, we isolate the variable x by subtracting 27 from both sides of the equation:

9x = 180 - 27

9x = 153

Finally, we solve for x by dividing both sides of the equation by 9:

x = 153/9

Simplifying the division gives us:

x = 17

Therefore, the value of x is 17.

Complete question :-

Find the value of x, if (7x) and (2x+27) are the two angles made on a straight line?
A. 7
B. 49
C. 61
D. 17

So, the value of x is not one of the given options A, B, C, or D.

To find the value of x in the expression (7x)(2x+27), we need to simplify the expression and solve for x.

Step 1: Distribute the 7x to both terms inside the parentheses:

(7x)(2x+27) = 14x^2 + 189x

Step 2: Set the expression equal to 0 and factor out common terms, if possible:

14x^2 + 189x = 0

Step 3: Factor out x:

x(14x + 189) = 0

Step 4: Set each factor equal to 0 and solve for x:

x = 0 (from the first factor)

14x + 189 = 0

14x = -189

x = -189/14

So, the value of x is not one of the given options A, B, C, or D.

235.24 + 45.58 = 280.82

280.82/2 = 140.41

each check was 140.41

1. Solve the given equation for y.

x - 5y = 15

-5y = -x + 15

y = (-x + 15)/-5

y = (x/5) - 3

y = (1/5)(x) - 3

The slope is 1/5. See it?

The equation we are looking for has a slope which is the negative inverse of the slope in the equation we just solved for y.

The slope for the equation we want is -5 which is the negative inverse of 1/5. Undetstand?

We have the slope of the new equation and one point is given.

Plot BOTH into the point-slope formula and solve for y. To solve for a variable means to isolate the variable ALONE on one side of the equation.

y - y_1 = m(x - x_1)...This is the point-slope formula. Our given point is (5,-2)

y - 5 = -5(x - (-2))

y - 5 = -5(x + 2)

We now solve for y and that's it.

y - 5 = -5x - 10

y = -5x - 10 + 5

The equation we want is y = -5x - 5.

Read more on Brainly.com - https://brainly.com/question/5660706#readmore

Answer:

The center is at (4, -6), and the length of the radius is 5.

Step-by-step explanation:

(x − 4)2 + (y + 6)2 = 25

(x − 4)2 + (y − (-6))2 = 52

When I compare my equation with the standard form, (x − h)2 + (y − k)2 = r2, I get h = 4, k = -6, and r = 5. The center is at (4, -6), and the length of the radius is 5.

plato answer

Answer:

New or current cost = 12 - 4.2 = $7.8

Step-by-step explanation:

Franco's Pizza is selling their pizzas 35% cheaper than usual. This is a discount on the normal cost. To get the amount it costs now, we will find the percentage of the discount on the original cost and subtract what we get from the original cost.

Discount = 35℅

Original cost of pizza is $12 (if a pizza normally cost $12).

So the discount in terms of dollars

= ℅ discount / 100 × normal cost of pizza

= 35 / 100 × 12 =0.35 × 12 = $4.2

New or current cost of pizza would be normal or original cost - the discount in dollars.

New or current cost = 12 - 4.2 = $7.8

The pizza is now $7.80.

If Franco's Pizza is selling their pizzas 35% cheaper than usual, we can calculate the new price by multiplying the original price by (1 - 0.35).

So, the new price of the pizza would be $12 * (1 - 0.35) = $7.80.

Therefore, the pizza is now $7.80.

Final answer:

The number of scores in the sample is 4.

Explanation:

The question provided asks us to determine the number of scores in the sample based on the z-score of +1.00, given a population with a mean (μ) of 50 and a standard deviation (σ) of 12.

The z-score formula for a sample is

z = (M - μ) / (σ / √n),

where

We are given that M = 56, z = 1, μ = 50, and σ = 12.

To find the sample size (n), we use the formula and rearrange to solve for n:

Therefore, the number of scores in the sample is 4.