what is the initial value for g(x) = 3(1/4)^(x-2) - 3

Answer:

y = 2x + 4

Step-by-step explanation:

y = mx + b

b = y-intercept = 4

m = slope = rise/run = 4/2 = 2

y = 2x + 4

Answer:

The 4 packages of 15 tops for $18 is a better deal

Step-by-step explanation:

We can see which set of tops have the lowest unit price.

4 packages of 15 tops for $18:

4*15=60

There is a total of 60 tops for $18, which means each top costs 18/60 dollars, or $0.30.

5 packages of 10 tops for $16

5*10=50

There is a total of 50 tops for $16, which means that each top costs 16/50 dollars, or $0.32.

0.32>0.3

The 4 packages of 15 tops for $18 is a better deal :)

Have a great day

Answer:

C, 105 Degrees

Step-by-step explanation:

So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.

The measure of angle O in this parallelogram is 105°.

Solution

Because the properties says that opposite angles are equal.

Angle L =  (x + 40)

angle O = (3 x)

Applying the first property

x+40+x+40+3x+3x = 360

x+x+3x+3x+40+40 = 360

8x+80 = 360

8x = 360-80

8x = 280

Divide through the equation by 8

x = 280/8

x = 35

The question wants us to find the value of angle O

O = 3x

O = 3*35

= 105

The value of angle O is equal to 105°

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Answer:

  your mark is correct

Step-by-step explanation:

The marked answer choice is correct.

(2, -18) is not a global minimum, because there are function values that are lower.

(0, -6) is not a global maximum, because there are function values that are higher.

A global maximum is also a local maximum.*

_____

* More correctly, a global maximum is either a local maximum or the end point of an interval. No intervals are involved in this question.

Answer: Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

We must work with linear equations, remember that the general shape is:

y = a*x + b

where a is the slope and b is the y-intercept.

Ok, first we want to find the rate of change (or the slope) of the graphed line:

We know that for a line that passes through the points (x1, y1) and (x2, y2)

The slope is:

a = (y2 - y1)/(x2 - x1)

Then for the graphed function, we can see that it passes through the points:

(0, -2) and (4, 0)

Then the slope is:

a = (0 -(-2))/(4 - 0) = 2/4 = 1/2

Now, the slope of the second line is 15/4.

Let's calculate the difference between the slopes:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

(notice that we are calculating slope2 - slope1)

Then the correct option is:

Function 2 has a greater rate of change by 13/4

Answer:

B) Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Firstly we find the x value. x-7=0; x=7

Secondly we introduce x value in 1st ecuation. So

(7-3)^2 +(y+1)^2=16, 16+y^2+2y+1=16,

Consider this ecuation: y^2+2y+1=0

y1=( -b+Δ)/ 2a, y2= (-b-√Δ)/2a, Δ=√b^2-4ac=√4-4=0

y1,2= -2/2= -1  

1 Real solution x=7 and y= -1.

Answer:

Option D is the correct option.

Step-by-step explanation:

Given,

A ( 4, 5 ) , B ( 2 , 2 ) , C ( 4 , 2 )

Let,

A ( 4 , 5 ) → ( x1 , y1 )

B ( 2 , 2 ) → ( x2 , y2 )

Now, finding the length of AB

Use the distance formula to find the length of AB

[tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

plug the values

[tex] = \sqrt{ {(2 - 4)}^{2} + {(2 - 5)}^{2} } [/tex]

Calculate the difference

[tex] = \sqrt{ {( - 2)}^{2} + {( - 3)}^{2} } [/tex]

Evaluate the power

[tex] = \sqrt{4 + 9} [/tex]

Add the numbers

[tex] = \sqrt{13} [/tex]

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{\sf 27 \ and \ 29}[/tex]

Step-by-step explanation:

Let the first consecutive odd integer be [tex]\sf x[/tex].

Let the second consecutive odd integer be [tex]\sf x+2[/tex].

The sum of the two numbers is 56.

[tex]\sf x+x+2=56[/tex]

[tex]\sf 2x+2=56[/tex]

[tex]\sf 2x=54[/tex]

[tex]\sf x=27[/tex]

Put x as 27 for the second consecutive odd integer.

[tex]\sf 27+2=29[/tex]

The two numbers are 27 and 29.

Step-by-step explanation:

Answer:

The length of segment AC is 10 units ⇒ 1st answer

Step-by-step explanation:

Look to the attached figure

In circle A

∵ AB is a radius

∵ BC is a tangent to circle A at B

- The radius and the tangent are perpendicular to each other

    at the point of contact

∴ AB ⊥ BC at point B

∴ m∠ABC = 90°

In ΔABC

∵ m∠B = 90°

∵ AB = 8 units

∵ BC = 6 units

- By using Pythagoras Theorem (Square the hypotenuse is

    equal to the sum of the squares of the other two sides of

     the triangle)

∵ (AC)² = (AB)² + (BC)²

∴ (AC)² = (8)² +(6)²

∴ (AC)² = 64 + 36

∴ (AC)² = 100

- Take √ for both sides

∴ AC = 10 units

The length of segment AC is 10 units

follow me plzzz

Answer:A

On edge.

Step-by-step explanation:

Answer:

v=√E/m or v=√E /√m

Step-by-step explanation:

Complete question below:

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of

the object.

E = mv^2

Solve the formula for v.​

Solution

E=mv^2

Where,

E=kinetic energy

m=mass

v=speed of the object

E=mv^2

Divide both sides by m

E/m=mv^2/m

E/m=v^2

It can be rewritten as

v^2=E/m

Square root both sides

√(v^2)=√E/m

v=√E/m

Or

v=√E/√m

This is to say speed (v)=square root of kinetic energy (E) Over masa(m)

Answer:

(D) [tex]p^{2} -9p+18[/tex]

Step-by-step Explanation:

Assuming that the equation [tex]x^{2} -2[/tex] = p, we can convert the equation into this.

[tex]p^{2} +18=9p[/tex]

We can convert [tex]9x^{2} -18[/tex] into 9p because [tex]x^{2} -2[/tex] × 9 = [tex]9x^{2} -18[/tex]

Now we simplify this equation.

We can subtract 9p from both sides of the equation.

[tex]p^{2} +18-9p = 0[/tex]

Re-ordering the equation gets us:

[tex]p^{2} -9p+18[/tex]

So, (D) [tex]p^{2} -9p+18[/tex] is equivalent to the original expression of [tex](x^{2} -2)^{2} + 18 = 9x^{2} -18[/tex]

Answer:

False

Step-by-step explanation:

[tex]y = x^2-3x+8[/tex]

Y-intercept is when x = 0

So, Putting x = 0 in the above equation

[tex]y = (0)^2-3(0)+8\\y = 0-0+8\\y = 8[/tex]

So, y-intercept = 8

y-intercept = -3 is a false statement.

Answer:

[tex]\boxed{false}[/tex]

Step-by-step explanation:

The y-intercept is when the value of x is 0.

Let x = 0

y = 0² - 3(0) + 8

y = 0 - 0 + 8

y = 8

The y-intercept is 8.

In a 30-60-90 triangle with short leg length x and hypotenuse length 8. the value of x in the triangle is 8 [tex]\sqrt{3}[/tex] / 3.

A right-angle triangle is a triangle that has a side opposite to the right angle the longest side and is referred to as the hypotenuse.

In a 30-60-90 triangle the ratio of the side lengths is 1 : 2 : [tex]\sqrt{3}[/tex]

To find the length of the short leg, x, you can create this proportion:

x / 8 = 1 / [tex]\sqrt{3}[/tex]

x = 8 × 1 / [tex]\sqrt{3}[/tex]

x = 8 / [tex]\sqrt{3}[/tex]

By rationalizing the denominator by multiplying the numerator and denominator by  [tex]\sqrt{3}[/tex].

x = 8 [tex]\sqrt{3}[/tex] / 3

Learn more about the right triangle;

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Answer:

g(x)= 0.05x represents the amount of bonus, f(x)=x-3,000 represents weekly sales over $3,000.

Step-by-step explanation:

The function f(x) represents how much money earned by sales person weekly over $3000.

And function g(x) represents the amount of bonus earned by salesperson.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.

According to the given question.

The percent of bonus earned by salesperson weekly on sales over $3,000 is 5%.

Also, we have two functions.

[tex]f(x) = x - 3000[/tex]

and [tex]g(x) = 0.05x[/tex]

For the function, f(x) if x is the amount of money earned salesperson in a week, then f(x) will represents how much money salesperson earned apart form $3000.

And the function g(x) represents the amount of bonus earned by the salesperson.

Hence, the function f(x) represents how much money earned by sales person weekly over $3000. And function g(x) represents the amount of bonus earned by salesperson.

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The equation is -1/5x-4 represented by the graph. The correct option is B.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.

Hence, option B is correct.

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Answer:

[tex] y= cx^2 +dx +e[/tex]

We see that:

[tex] c = a, d= 2a , e= 3[/tex]

The axis of symmetry is defined by this formula:

[tex] X= - \frac{d}{2c}[/tex]

And replacing we got:

[tex] X= -\frac{2a}{2a}= -1[/tex]

Thn the axis of symmetry would be X=-1

Step-by-step explanation:

For this case we have the following function:

[tex] y = ax^2 +2ax +3[/tex]

If we compare this function with the general expression of a quadratic formula given by:

[tex] y= cx^2 +dx +e[/tex]

We see that:

[tex] c = a, d= 2a , e= 3[/tex]

The axis of symmetry is defined by this formula:

[tex] X= - \frac{d}{2c}[/tex]

And replacing we got:

[tex] X= -\frac{2a}{2a}= -1[/tex]

Thn the axis of symmetry would be X=-1

Solve each equation with (0, 3)

y = -x + 3

3 = -0 + 3

y = 3 (correct since y = 3 in (0, 3))

y = 2x - 3

3 = 2(0) - 3

3 = 0 - 3

3 = -3 (incorrect since it isn't equal)

So... No, because it does not check in the second equation.

Best of Luck!

Answer:

283 cm^2

Step-by-step explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

         Base Area : Circle

               [tex]A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi[/tex]

        Curved Surface: conical

                [tex]A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi[/tex]

The total surface area of the cone can be written as ( A ):

               [tex]A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2[/tex]

Answer: The surface area of the cone to nearest whole number would be 283 cm^2

Answer:

P(61≤ X≤94) = 49.85%

Step-by-step explanation:

From the given information:

The mean of the bell shaped fluorescent light bulb μ = 61

The standard deviation σ = 11

The objective of this question is to determine the approximate percentage of light bulb replacement requests numbering between 61 and 94 i.e P(61≤ X≤94)

Using the empirical (68-95-99.7)rule ;

At 68% , the data lies between  μ - σ and μ + σ

i.e

61 - 11 and 61 + 11

50 and 72

At  95%, the data lies between  μ - 2σ and μ + 2σ

i.e

61 - 2(11) and 61 + 2(11)

61 - 22 and 61 +22

39   and   83

At 99.7%, the data lies between  μ - 3σ and μ + 3σ

i.e

61 - 3(11) and 61 + 3(11)

61 - 33 and 61 + 33

28   and   94

the probability equivalent to 94 is when  P(28≤ X≤94) =99.7%

This implies that ,

P(28≤ X≤94) + P(61≤ X≤94) = 99.7%

P(28≤ X≤94) = P(61≤ X≤94) = 99.7 %    

This is so because the distribution is symmetric about the mean

P(61≤ X≤94) = 99.7 %/2

P(61≤ X≤94) = 49.85%

Answer:

44

Step-by-step explanation:

96 divided by 4 add 5 times 2 squared equals 44

Answer:

44

Step-by-step explanation:

BIDMAS

B: Brackets

I: Indices

D: Division

M: Multiplication

A: Addition

S: Subtraction

96 divided by 4 + 5 x 2^2

96 divided by 4 + 5 x 4

96 divided by 4 = 24

24 + 5 x 4

24 + 20

24 + 20 = 44

Answer: D) 7 to the 3 power.

Step-by-step explanation:

Answer:

D. 7 to the 3 power

Step-by-step explanation:

I know I'm very late but dont judge :V

This is also seven t the power of three

Answer: $14,950

Step-by-step explanation:

Given: Cost of Direct Materials  =  $3,200

Cost of direct labor = $4,700

Overhead rate = 150%

So, Overhead cost = 150% x (Total  direct labor cost)

= $(150% x 4,700) =$ ( 1.5 x 4,700)                              [150% = 1.5]

= $7,050

Work in Progress  =  Direct Materials  + Direct labor  + Overhead

= $(3,200+4,700+7,050)

=$14,950

Hence, the balance in the Work in Process account at the end of September relative to Job A3B = $14,950

Answer:

9! means 9 factorial

Step-by-step explanation:

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Answer:

Our system of equations is:

We are looking for x

Let's express y using x

Replace x in the second equation with the result

4x²+20x+3=0 is a quadratic equation

Let Δ be our discriminant

Δ= 20²-4*4*(-3)

Δ=448 > 0 so we have two solutions for x

let x and x' be the solutions

so the solutions are:

-5.15 and 0.15

Answer:

a positive 1; negative 3 or 1

Step-by-step explanation:

To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.

The coefficients in f(x) are +1, +2, -3, -8, -4.

Since there is only one sign change from +2 to -3, we have 1 positive root.

To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4

The coefficients in f(-x) are +1, -2, -3, +8, -4.

Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1

So, the number roots are of positive 1; negative 3 or 1

Answer:

a.positive 1; negative 3 or 1

Step-by-step explanation:

EDGE 2020

Answer:

Step-by-step explanation:

[tex](3x)^{2}[/tex]=[tex](3(2))^{2}[/tex] =36

(OR)

3([tex]x^{2}[/tex])=3(4)=12

Its depend on your sentence structure, what u r asking!!

The value of 3x squared when x = 2 is 36.

Given expression  [tex](3x)^2[/tex].

We have to calculate the value of this at [tex]x=2[/tex].

Now putting the value of x in the expression we get,

[tex](3\times2)^{2}[/tex]

Or,[tex]6^{2}[/tex]

[tex]36[/tex]

Hence the value of [tex](3x)^2[/tex] at [tex]x=2[/tex] will be 36.

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Answer: 0.28157

Step-by-step explanation:

Given, The proportion of the community favored building a police substation in their neighborhood: p= 0.75

Number of citizens are chosen: n= 10

Let x be the binomial variable that represents the number of citizens favor the building of the police substation.

Then, the probability that exactly 8 of them favor the building of the police substation will be :

[tex]P(x=8)=\ ^{10}C_8(0.75)^8(1-0.75)^2[/tex]

 [Using binomial probability function [tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]]

[tex]=\dfrac{10!}{8!2!}(0.100113)(0.0625)\\\\=0.2815678125\approx0.28157[/tex]

Hence, the probability that exactly 8 of them favor the building of the police substation =0.28157

Answer:

D. 1, 3, 5, 15

Step-by-step explanation:

Factors are numbers that divide another number evenly, with no remainders.

15 ÷ 1 = 15

15 ÷ 3 = 5

15 ÷ 5 = 3

15 ÷ 10 = 1.5

15 ÷ 2 = 7.5

15 ÷ 15 = 1

The numbers that 15 divide evenly into are 1, 3, 5, and 15.

Hope that helps.

Answer:

Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle. The inscribed angle's arc measures 36%, and the central angle's arc measure 72%

Answer:

75

%Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle.