on the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH

The function of the production cost is a quadratic function, and the maximum production cost of the company is $340

The function of the production cost is given as:

f(x) = 0.15x² - 6x + 400

Differentiate the function

f'(x) = 0.3x - 6

Set the function to 0

0.3x - 6 = 0

Add 6 to both sides

0.3x = 6

Divide both sides by 0.3

x = 20

Substitute x = 20 in f(x) = 0.15x² - 6x + 400

f(20) = 0.15 * 20² - 6 *20 + 400

Evaluate

f(20) = 340

Hence, the maximum production cost of the company is $340

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Answer:

g[f(x)] = 6x² + 8x - 25

Step-by-step explanation:

g[f(x)] = g(3x² + 4x - 7)

= 2(3x² + 4x - 7) - 11

= 6x² + 8x - 14 - 11

= 6x² + 8x - 25

Answer:

Ah cgej4

YTL bebekte gt ydd

Step-by-step explanation:

(8=6'+)9*3-6

The table of values of function g(x) and the function f(x) = 5x3 + 2x2 – 6x + 7 are illustrations of exponential functions and polynomial functions

The values on the table can be represented as:

(x, g(x)) = (-3, 0.375) (-1, 0.75) (1, 1.5) (3, 3) (5, 6) (7,12) (9, 24)

The above values show that as the values of x increases by 2, the values of function g(x) doubles.

Only an exponential function has this property.

Hence, the table of values represents an (a) exponential function.

A polynomial function is represented as:

y = ax^n  + bx^n-2 + .......... + d

Using the above format, the function that is a polynomial function is (a) f(x) = 5x3 + 2x2 – 6x + 7

The functions are given as

f(x) = 2x2 + 7x + 6

g(x) = 2x + 5

Set x to 0 to calculate the y-intercept

f(0) = 2(0)2 + 7(0) + 6 = 6

g(x) = 2^0 + 5 = 6

Hence, both functions have the same (c) y-intercept

Questions 1 and 5 are not properly presented

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Answer:

exponential function

Step-by-step explanation:

HS Teacher

Answer:

what do you need help with

Answer:

y=mx+c

Finding the y-intercept by substituting the given points into the equation.

y=mx+c

2=5(0)+c

2-5=c

-3=c

Now, the equation is:

y=5x-3

Answer:

[tex]y=-3x-2[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

where:

Given:

Equation of line: [tex]y=-3x+4[/tex]

If the line is translated -4 units along the axis, we need to substitute

[tex]x \rightarrow (x+4)[/tex]

If the line is translated 6 units along the y-axis, we need to add 6 to the equation:

[tex]\implies y=-3(x+4)+4+6[/tex]

[tex]\implies y=-3(x+4)+10[/tex]

[tex]\implies y=-3x-12+10[/tex]

[tex]\implies y=-3x-2[/tex]

Answer:

y = -3x - 2

Step-by-step explanation:

Rules to remember :

Standard form of the original equation

Translating -4 units along the x-axis

Translating 6 units along the y-axis

Answer:

Step-by-step explanation:

You multiply 12.30 x 22.5 and that = $276.75

⠀

1. Here,

⠀

[tex] \sf \longrightarrow x + 45^\circ = 180^\circ [/tex] ( Linear pair of angles measure upto 180° )

⠀

Thus,

⠀

[tex] \sf \longrightarrow x + 45^\circ = 180^\circ \\ \\ \\ \sf \longrightarrow x = 180^\circ - 45^\circ \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \blue{ x = 135^\circ }}}} \: \star \: \: \: \: \: \: \: \\ \\ [/tex]

⠀

Now, for y,

⠀

[tex] \sf \longrightarrow \underline{ \boxed{ \sf{ \orange{y = 45^\circ}}}} \: \star [/tex] ( Vertically Opposite Angles)

⠀

[tex] \underline{\rule{230pt}{2pt}} [/tex]

⠀

Answer:

17x+7

Step-by-step explanation:

(10x+3)-(-7x-4)

Done!

Answer:

Hope the pictures will help you.

The solution to the system of equations is x = -2 and y = 5.

Given the parameters:

7y - 5x = 45

x = 8 - 2y

To solve the system of equations, substitute the expression for x from the second equation into the first equation.

7y - 5x = 45

Plug in x = 8 - 2y:

7y - 5( 8 - 2y) = 45

7y - 40 + 10y = 45

Collect and add like terms:

7y + 10y = 45 + 40

17y = 85

y = 85/17

y = 5

Plug the value of y into the second equation and solve for x:

x = 8 - 2y

Plug in y = 5:

x = 8 - 2( 5 )

x = 8 - 10

x = -2

Therefore, the value of x is -2 and y is 5.

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Answer:

7:63

Step-by-step explanation:

It's a 1 to 9 ratio, which means the second number is 9 times bigger.

To make it equivalent, you need to make 7 9 times bigger as well.

7x9=63

Answer: 7:63

Answer:

deedww

Step-by-step explanation:

Step-by-step explanation:

first you subtract 34 and 6 to get 28

now its 7 multiplyed by some number

each notepad 4 dollars cause 7x4=28

Answer:4 dollars

Answer:

Step-by-step explanation:

The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that

f'(c) = [tex]\frac{f(b)-f(a)}{b-a}[/tex] ....... (1)

~~~~~~~~~~~~~~~~

f(5) = 44

f(0) = - 1

5 - 0 = 5

f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4

2c + 4 = [tex]\frac{44+1}{5}[/tex]

2c + 4 = 9 ⇒ c = [tex]\frac{5}{2}[/tex] (D).

Step-by-step explanation:

also provide box plot..

note:Parallelogram WXYZ not VWXY & I will answer the questions in the image b'cos I don't get your question.

Answers:

a.(i.)Slope of line YZ = 4/5

(ii.)Line adjacent line YZ is line YX,slope of YX =5/4

b.(i.)Length of line YZ =√41 units

 (ii.)Length of line YX =√41 units

c.WXYZ is a rhombus.

Step-by-step explanation:

a.Slope=gradient(m)=(y₂-y₁)/(x₂-x₁)

(i.)m of line YZ=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & Z(-1,3)

(I believe you know what the y₂,y₁,x₂ & x₁ stand for.)

So m=(y₂-y₁)/(x₂-x₁),=(3-(-1))/(-1-(-6) =(4)/(5)=4/5

∴m of line YZ is 4/5

(ii.)m of line YX=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & X(-2,4)

So m=(y₂-y₁)/(x₂-x₁),=(4-(-1))/(-2-(-6) =(5)/(4)=5/4=1.25

∴m of line YX is 5/4

b.(i.)To find the length of line YZ,we have to express it as column vector YZ.

Vector YZ=OZ-OY,Z-Y=(-1,3)-(-6,-1)=(5,4)

Length=√x² plus y²=√5² plus 4²=√25 plus 16=√41 units

∴The length of line YZ is √41 units.

(ii.)To find the length of line YX,we have to express it as column vector YZ.

Vector YX=OX-OY,X-Y=(-2,4)-(-6,-1)=(4,5)

Length=√x² plus y²=√4² plus 5²=√16 plus 25=√41 units

∴The length of line YX is √41 units.

c.WXYZ is a rhombus.

Find the circumference:

8km x 2 x 3.14 = 50.24 km

Arc length = 50.24 x 225/360 = 31.4 km

answer: C. 10 pi or 31.4 km

Answer:

Similarities

They both follow strict laws (typically stricter for math).

Practice makes perfect: both can be learned to points of practical perfection.

The brain must first attribute meaning or value to elements of either in order to build a learning pattern.

Differences:

Math is learned under assumptions of perfection (2 + 2 = 4 ALWAYS); whereas, language is learned under assumptions of reality (2 + 2 may be 5 for significantly larger values of 2). In other words, 2 average sized men plus 2 average sized Texans would more likely equal 5 or more average sized men.

Math is logical and language is largely artistic.

There is only one solution (or specific set of solutions) to every math problem. On the other hand, there are at least 100 different ways to express the same idea using language.

Step-by-step explanation:

Answer:

Language rules could be compared to syntax rules that govern the writing and scripting of a function. Language-based rules could be compared to syntax rules when writing functions, such that when the guiding syntax is correctly displayed, the function is clear and easy to read.

Step-by-step explanation:

y=4x + 3

it should have another one

Answer:

$3.52

There are two ways you can solve this problem.

1. Take 5 cents off before multiplying.

Since the coupon takes 5 cents off per pound, you can subtract 5 cents off 49 cents.

$0.49-$0.05= $0.44

Now multiply $0.44 by the 8 pounds.

$0.44 (8) = $3.52

2. Take the 5 cents off after multiplying

You can multiply the 5 cents by 8, to find the total money off the bananas. Then subtract that from the total cost.

$0.49 (8) = $3.92    -> Total cost with no coupon

$0.05 (8) = $0.40    -> Total money off

Subtract the two totals.

$3.92 - $0.40 = $3.52

Answer:

I believe the answer is 3.42.

The scientific value for n that will make the equation (4.8 × 10^(-3))(n) = 9.6 × 10^9 true is given by: Option D: 2.0 × 10^(12)

The number is written in the form  [tex]a \times 10^b[/tex]  where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Finding the value of n from the given equation:

[tex](4.5 \times 10^{-3}) \times n = 9.6 \times 10^9\\\\\text{Dividing both the sides by } (4.5 \times 10^{-3}) \\\\n = \dfrac{9.6 \times 10^9}{4.5 \times 10^{-3}} = \dfrac{9.6}{4.5} \times \dfrac{10^{9}}{10^{-3}}\\\\n \approx 2.1333 \times 10^{9-(-3)} = 2.1333 \times 10^{12} \approx 2.0 \times 10^{12}[/tex]

Thus, the scientific value for n that will make the equation (4.8 × 10–3)(n) = 9.6 × 10^9 true is given by: Option D: [tex]2.0 \times 10^{12}[/tex]

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Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is F, A

Step-by-step explanation:

It is a right and isosceles triangle

Answer:

right and isosceles

Step-by-step explanation:

the sum of the degree measurement of all triangles is 180
given are 45 and 45
45 + 45 = 90 so the other angle must be 90
a triangle with an angle of 90 degrees is always a right triangle

also
8^2 + 8^2 = 11.3^2
64 + 64 = 127.69
this is close enough to being true

an isosceles triangle is a triangle with 2 equal side lengths
this is an isosceles triangle because 8 = 8

Answer:

15

Step-by-step explanation:

To solve you have to get x by itself on one side.

x/3+7=12

First, you move the seven over.

x/3+7-7=12-7

Simplify.

x/3=5

Now to get x by itself you can multiply both sides by 3.

x/3*3=5*3

Simplify.

x=15

Answer:

x = 15

Step-by-step explanation:

x/3 + 3⋅7/3 = 12

x+3⋅7/3=12

x+21/3

X=15

Using correlation coefficients, it is found that the value of r is greater than 0 and close to 1, as the scatter-plot is increasing linearly.

Researching the problem on the internet, it is found that the relation is modeled by an increasing scatter-plot, hence r > 0. There are very few points in which there are oscillations, which indicate a strong relationship, hence r is closer to 1.

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Answer:

numbers = 11, 13

Explanation:

Let the two consecutive odd numbers be: n and n + 2

==========

⇒ One number: 11

⇒ Another number: 11 + 2 = 13

The sum of two consecutive odd numbers is 24. Find the numbers .

We have to find the numbers .

In this question we have to find the numbers by assuming the numbers and forming equations to finally get the appropriate answer .

[tex] \longrightarrow \: x + 2 + x= 24[/tex]

Now adding them ,

[tex] \longrightarrow \: 2x + 2 = 24[/tex]

Now taking 2 common ,

[tex] \longrightarrow \: 2(x + 1) = 24[/tex]

Now dividing 24 by 2 ,

[tex] \longrightarrow \: x + 1 = \frac{24}{2} [/tex]

We get ,

[tex] \longrightarrow \: x + 1 = 12[/tex]

Now transposing 1 to right hand side ,

[tex] \longrightarrow \: x = 12 - 1[/tex]

So ,

[tex] \longrightarrow \: \boxed{\bold{ x = 11}}[/tex]

Therefore value of first number is 11 .

Now , other consecutive no. be x + 2 . So

Therefore value of second number is 13 .

According to question sum of two consecutive no. is 24. So :