Describe the features of a Cartesian Plane in terms of its axes, the direction of the axes and its centre.​

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

1.7,0.7,0.17,0.007 is the answer

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:

So to calculate the surface area we will first calculate the area of the base, the area of the short side and the area of the longest side, then we have:

Base area=6 in * 14 in=84 in^2

Short side area=8 in * 6 in = 48 in^2

Longest side area=8 in * 14 in=112 in^2

Total surface area=Base area+ 2(Short side area) + 2(Longest side area)

Total surface area=84 in^2+ 2(48 in^2) + 2 (112 in^2)

Total surface area=84 in^2+ 96 in^2 + 224 in^2

Total surface area=404 in^2

Finally we obtain that the total surface area in square inches of the toy box is 404 in^2.

Answer:

Step-by-step explanation:

The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

now the given functions are,

f(x) = √(2x + 2) and

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

Now,

f{g(x)} = f{(x^2 -2)/2}

         = √(2(x^2 -2)/2 + 2)

         = √ x^2 -2 + 2

f{g(x)} = √ x^2

f{g(x)} =  x

Now,

g{f(x)} = g{ √(2x + 2)}

         = (√(2x + 2)^2 -2)/2

         = (2x + 2) -2 /2

         = 2x/2

f{g(x)} = x

Here we see that ,

f{g(x)} = g{f(x)}

Hence f and g are not inverses.

∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

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x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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Answer:

Step-by-step explanation:

y = 2x-8

2x = y+8

x = 0.5y+4

inverse function: y = 0.5x+4

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The lengths of the corresponding segments are given as follows:

Hence the scale factor is given as follows:

k = 4/2

k = 2.

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Answer:

interferances of the blood preser

Step-by-step explanation:

We will get the mass of each chocolate sphere, and the cost of 140 of these is $368.56

A sphere of radius R has a volume:

V = (4/3)*3.14*R^3

The mass of a sphere of chocolate will be given by the volume times the density, then one ball of chocolate has a mass:

M = (4/3)*3.14*(2cm)^3*(1.31 g/cm^3) = 43.88 g

And we know that the cost is of $0.06 per gram, the cost for 140 of these spheres is:

cost = 140*(44.88 g)*$0.06 = $368.56

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y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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Answer:

[f + (g o h)](x) = x² + 6x + 1

Step-by-step explanation:

Given functions are,f(x) = x²

g(x) = 3x + 1

h(x) = 2x

Now we have to find the value of composite function [f + (g o h)](x).

(g o h)(x) = g[h(x)]

              = 3(2x) + 1

              = 6x + 1

[f + (g o h)](x) = f(x) + (g o h)(x)

                     = x² + 6x + 1

But Jim got the answer as,

[f + (g o h)](x) = x² + 2(3x + 1)

                     = x² + 6x + 2

Therefore, Jim's answer was incorrect.

Correct answer will be [f + (g o h)](x) = x² + 6x + 1

Answer:

y= 1x-1

Step-by-step explanation:

i used stat edit

Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12

Answer:

A, B, D

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

40% is the same as the fraction 4/10.

Compare 4/10 with 3/20 (A):

LCM of 10 and 20 is 20, so make the denominators of all fractions to 20

We now have 8/20 and 3/20

Now you can just simply look at the numerators. 3 is obviously less than 8 so option A is less than 40%

Compare 4/10 with 23/100 (A):

LCM of 10 and 100 is 100, so make all denominators 100

Now compare 40/100 and 23/100

40>23 so 23/100 is less than 40%

Compare 4/10 with 3/5 (C):

We can further reduce 4/10 to 2/5, and conveniently it has the same denoninator as 3/5. 3 is NOT less than 2, so C is ruled out.

Compare 4/10 with 1/8 (D):

LCM of 10 and 8 is 40, so we'll use that as our denominator

We now have 16/40 and 5/40.

5 is less than 16, so we include D in our answer.

Monthly payment for the tv cost $2300 with fixed installment of simple interest for 30 months at the rate of 3.5% interest per year is $208.44.

As given in the question,

Principal P=$2300

Rate of interest 'R'= 3.5% per year

Time 'T' = 30months

Simple Interest = (P×R×T)/100

                         = (2300× 3.5×30) / (12×100)

                         = 201.25

Amount= Principal + Simple interest

             = 2300 + 201.25

             = $2501.25

Monthly payment = 2501.25/12

                            = $208.44

Therefore, monthly payment for the tv cost $2300 with fixed installment of simple interest for 30 months at the rate of 3.5% interest per year is $208.44.

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Answer:

-1/3^3y^2

Step-by-step explanation:

All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

Answer:

Use the law of Cosine to find a then the law of sines to find x

Answer:

Cosine then sine rule so number 4

Answer: 60 miles

Step-by-step explanation:

1 in. times 3 = 3 in

20 mi times 3 = 60 mi.

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

A) m∠3 + m∠6 = 90

Step-by-step explanation:

Angles 3 and 6 are complementary angles. This means they add up to 90 degrees. Since you know the angle that is a right angle due to the box, you know these angles add up to 90 degrees

Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

Answer:

Answers are A, C

Step-by-step explanation:

The equation is 2/3 divided by 3/4. This equals 8/9. Carson can make 8/9 of the recipe.

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The value of x, considering the Pythagorean Theorem, is given as follows:

x = 9.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

The sides for the problem are given as follows:

15 and 8 (segment of 8 is the radius, which is the distance from the center to a point on the circumference of the circle).

Hence the hypotenuse is obtained as follows:

h² = 15² + 8²

h² = 289

h = 17.

Hence the value of x is obtained as follows:

x = 17 - 8

x = 9.

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Answer: No real solutions.

Step-by-step explanation: −x2=8x+20

Step 1: Subtract8x+20  from both sides.

−x2−(8x+20)=8x+20−(8x+20)

−x2−8x−20=0

For this equation: a=-1, b=-8, c=-20

−1x2+−8x+−20=0

Step 2: Use quadratic formula with a=-1, b=-8, c=-20

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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