what does the graph of f(x)=-2/3x+490 represent

Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

If the graph of f(x) = x is shifted up 9 units, the equation of the new graph would be g(x) = x + 9.

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is shifted up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Translating the graph of the parent function f(x) = x by shifting it nine (9) units up, we have the following equation:

f(x) = x   →  g(x) = f(x) + 9

g(x) = x + 9

In this context, we can logically deduce that the parent function f(x) was shifted by nine (9) units up to create function g(x) as shown in the graph attached below.

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Answer:

is this all of the question

Step-by-step explanation:

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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Answer:

w = 4√2

Step-by-step explanation:

2w^2 - 64 = 0

=> 2w^2 = 64

=> w^2 = 32

=> w = √ 32

=> w = √ [(2 x 2) x (2 x 2) x 2]

=> w = 2 x 2 x √ 2

=> w = 4√2

Answer:

lateral surface area of the cone = 829.0ft²

Hence the total surface area is 1,208.9ft²

Step-by-step explanation:

lateral surface area of the cone = πrl

l is the slant side = 24ft

r is the radius = 11ft

lateral surface area of the cone = π(11)(24)

lateral surface area of the cone = 3.14 * 264

lateral surface area of the cone = 828.96ft²

lateral surface area of the cone = 829.0ft²

Total surface area = πr(r+l)

r is the radius = 11ft

l is the slant side = 24ft

Total surface area = π(11)(11+24)

Total surface area = π(11)(35)

Total surface area = 3.14 * 385

Total surface area = 1,208.9ft²

Hence the total surface area is 1,208.9ft²

Answer:

-10 2/3. tell me if wrong

Step-by-step explanation:

-8/3 x 4/1 = -3/3 = -10 2/3

Answer:

x=7

Step-by-step explanation:

h(x) = 17 so you would input 17 for h(x). The equation should look like this. 17= 3x-4. Add 4 to both sides changing the equation to 21 = 3x. Finally divide both side by 3 and you should get x = 7.

Answer:

b none of these..........

Answer:

D. 5/6 and 10/12

Step-by-step explanation:

The exact area of the circle with a radius of 9 cm is 81π cm².

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, The area of a circle is πr².

Given, The radius of the circle is 9 cm.

Therefore, The area of the circle with a radius of 9 cm is,

= π(9)² cm².

= 81π cm².

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Answer:

If you want to show no work, the answer is clearly y = -6

If you are required to show work we would proceed like this:

The slope between the two points is(-6 - -6) / (-7 - 3) = 0/-10 = 0 and the y intercept has to be -6 so according to the slope intercept form of a line the equation would be y = 0x + (-6) or just y = -6

Step-by-step explanation:

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:

4/9, 11/13, 6/5

Step-by-step explanation:

Answer:

215.75

Step-by-step explanation:

.       .

 ----

Answer:

2.4 put a bar over the 4 because it is repeating

Step-by-step explanation:

22/9 =

22 divided by 9

equals

Answer:

5 mm

Step-by-step explanation:

Given:

A rectangular pyramid

h (height) = 4 mm

l (side length) = 6 mm

Find: s (slant height) - ?

There is a right triangle in the middle

The bottom leg is 3 mm, because it's half the side length of the square

According to that, we can find x by using the Pythagorean theorem:

\( {x}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)

\(x > 0\)

\(x = \sqrt{25} = 5\)

Answer:

32.5%

Step-by-step explanation:

Hey there!

To find the probability we first need to find the amount of prime numbers in the 1-40 set.

Prime - 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

That’s 13 prime numbers.

Fraction - 13/40

Simplified is just 13/40.

13 / 40 = .325

Percent - 32.5%

Hope this helps :)

The simplified expression based on tej values given is 3a⁴b + 4a³b³.

An expression is a combination of variables, constants, and operators that can be evaluated to produce a single value. In programming languages, expressions are used to represent computations and are often used to assign values to variables, compare values, or perform mathematical operations. Expressions can be simple, such as a single variable or constant, or complex, involving multiple operations and variables.

It should be noted that to simplify the expression a²b(3a² +4ab²), we can distribute the a²b term to the terms inside the parentheses using the distributive property of multiplication:

a²b(3a² +4ab²) = 3a⁴b + 4a³b³

Therefore, the simplified expression is 3a⁴b + 4a³b³.

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The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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The probability of two heads when a biased coin is spun twice is 0.16.

The first time you flip the coin, the probability of seeing a heads is 2/5. The second time you flip the coin, the probability of seeing a heads is still 2/5 because the probability of a biased coin has not changed over the course of the two flips.

Since each flip is an independent event, you multiply the probabilities together.

The probability of two heads when a biased coin is flipped twice is (2/5) × (2/5) = 4/25 = 0.16.

Therefore, the probability of two heads when a biased coin is spun twice is 0.16.

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Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Substituting the values for the letters, we have

3(10) + 4(0) -18

30 + 0 - 18

30 - 18

= 12

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

x = 18°

y = 6

Step-by-step explanation:

in a parallelogram:

Any two opposite sides are congruent

and any two opposites angles are congruent:

then

y + 4 = 10

and 3x = 54

then

y = 6

and x =  54/3 = 18

Answer:

x= 18 , y = 6

Step-by-step explanation:

A parallelogram has two opposite sides equal and parallel hence;

y + 4 = 10

y = 10 -4 = 6

Similarly

54 = 3x( opposite angle of a parallelogram are the same because it's congruent)

3x = 54

x = 54/ 3 = 18°

To be congruent means to have the same shape, size and form but can be flipped.