How do u solve this?

Answer:

g(n) = 2n+49

Step-by-step explanation:

Since g(1) = 51, then g(1)+2=g(2) or g(2)=53. So the formula for g(n) is

g(n) = 49+2n

The explicit formula for g(n) will be g(n) = 2n + 49.

Functions are found all across mathematics and are required for the creation of complex relationships.

g(1) = 51 and g(n) = g(n – 1) + 2

Since g(1) = 51, then g(1) + 2= g(2) or g(2) = 53.

So the formula for g(n) will be

g(n) = 49 + 2n

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

B and D

Step-by-step explanation:

Given

2a² + 8a - 15 = 3a - 3 ( subtract 3a - 3 from both sides )

2a² + 5a - 12 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the product of the a² term and the constant term which sum to give the coefficient of the a term, that is

product = 2 × - 12 = - 24 and sum = + 5

The factors are + 8 and - 3

Use these factors to split the a- term

2a² + 8a - 3a - 12 = 0 ( factor the first/second and the third/fourth terms )

2a(a + 4) - 3(a + 4) = 0 ← factor out (a + 4) from each term

(a + 4)(2a - 3) = 0 ← in factored form

Answer:

The answer is B.

Step-by-step explanation:

1095 to the second power is what google told me!

Answer:

9 units²

Step-by-step explanation:

we count the number of units for the length and Width.

Length = 3 units

Width = 3 units.

Area = 3 x 3 = 9 units²

Answer:

9 square units

Step-by-step explanation:

The area of the square will be the length*width.

Because there are 3 square boxes going horizonally (length), and 3 square boxes going vertically (width), you multiply it together.

Answer:

the bigger one ;)

Step-by-step explanation:

Answer:

C 24-ounce bottle

Step-by-step explanation:

The answers are:

[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to calculate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

[tex]x_{FirstCar}=x_o+v*t[/tex]

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

[tex]x_{SecondCar}=x_o+(v+14mph)*t[/tex]

Now, we already know that both cars met after 2 hours and 45 minutes, and the distance between A and B is 264 miles,  so, we can calculate the relative speed between both cars.

If the cars are moving towards each other the relative speed will be:

[tex]RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph[/tex]

So , since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we  have:

[tex]2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours[/tex]

Writing the equation:

[tex]264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph[/tex]

Therefore, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

[tex]SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph[/tex]

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]

Have a nice day!

Answer:

The angles are m∠EQF=14°, m∠EFQ=90° and m∠QEF=76°  

Step-by-step explanation:

Given the figure in which m∠DFQ = 10°,  m∠EOF = 28°

we have to find the angles of △EFQ

m∠EOF = 28°

By theorem angle subtended at the centre is twice the angle subtended at the circumference

⇒ m∠EQF=14°

As angle ∠EFQ is the angle in the semicircle

∴ ∠EFQ=90°

In ΔEFQ, by angle sum property of triangle

m∠EFQ+m∠FQE+m∠QEF=180°

90°+14°+m∠QEF=180°

m∠QEF=180°-90°-14°=76°

Hence,  m∠EFQ=90° and m∠QEF=76°

To find the missing angle in triangle △EFQ, we used the fact that the sum of angles in a triangle is always 180°. Therefore, m∠EQF is found to be 142°, making the angles of the triangle 10°, 28°, and 142°.

This problem deals with finding the measurements of angles in a triangle. In this case, the triangle is △EFQ, and we are given that m∠DFQ = 10° and m∠EF = 28°. The sum of the angles in a triangle always equals 180°. So, the third angle, m∠EQF, can be found by subtracting the given angles from 180°.

To calculate, follow these steps:

Therefore, m∠EQF = 142°. So, the angles of triangle △EFQ are 10°, 28°, and 142°.

https://brainly.com/question/12599487

#SPJ12

Answer:

B. Division

Step-by-step explanation:

Subtraction is closed for polynomials subtracting two polynomials will result in another polynomial. Same goes with multiplication. However, if you divide polynomials, you are able to get a result that is not always a polynomial. Therefore, division is the answer.

Answer: division

Step-by-step explanation: a p e x 2020

Answer:

The correct answer is option B).  108°

Step-by-step explanation:

Points to remember

Sum of angles of hexagon is 720°

From the figure we can see a hexagon.

To find the m<B

m<B = 720 - ( m<A + m< C + m<D + m<E + m<F)

  = 720 - ( 170 + 133 + 102 + 117 + 90)

  = 720 - 612

  = 108°

Therefore m<B = 108° Option B is the correct answer

Answer:

B. 108 degrees

Step-by-step explanation:

Just times it all together, the same rules apply for finding the area.

Answer:

The formula for is Length x width x height so all you have to do it substitute length width and height.

Length= 14cm

Width= 7cm

Height= 16cm

so, 14cm x 7cm x 16cm= 1,568 cm

Please give me the brainliest answer?

:) Hope this helped!!! Have a good day!!! <3

The value 1/5 becuse you simplify

Answer:

165=z

Step-by-step explanation:

99/3 = z/5

We can solve this using cross products.

99*5 = 3z

495 = 3z

Divide each side by 3

495/3 = 3z/3

165 = z

(x-5)(2x-1) (-2x+1)(-x+5)=0 and (-2x+1)(x-5)=0 quadratic equation have  as solution set.

Answer:

well i got some HOPE THIS WILL HELP

Step-by-step explanation:

To find the solution set of a factored quadratic equation, you should set each one of the factors equal to zero and solve for .

Lets take our first quadratic equation (x+1/2)(x-5)=0 and apply this. First we are our factors equal to zero  and ; next we are going to sole for  in each factor to find the solution set:

and , so the solution set for the quadratic equation (x+1/2)(x-5)=0 is 

Lets do the same for our next one (x-5)(2x-1)=0

and

So, the solution set for the quadratic equation (x-5)(2x-1)=0 is 

Next one (x+5)(2x-1)=0

and 

So, the solution set for the quadratic equation (x+5)(2x-1)=0 is 

Next one (-2x+1)(-x+5)=0

and

So, the solution set for the quadratic equation (-2x+1)(-x+5)=0 is : therefore, we are going the select this one.

Next one (x+1/2)(x+5)=0

and

So, the solution set for the quadratic equation (x+1/2)(x+5)=0 is 

Finally, our last one (-2x+1)(x-5)=0

and

So, the solution set for the quadratic equation (-2x+1)(x-5)=0 is ; this is also a correct answer, make sure to select this one too.

We can conclude that both (-2x+1)(-x+5)=0 and (-2x+1)(x-5)=0 quadratic equation have  as solution set.

From the equation given, each ticket costs 50 cents as expressed in 0.50x. Every time you increase x by one, the total cost increases by 50 cents

Answer

A) $10

Step-by-step explanation:

Answer: OPTION C

Step-by-step explanation:

 To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.

Therefore, for the polynomial  [tex]5a^2 + 3a^3 + 1[/tex], you get:

  [tex]3a^3 +5a^2 +1[/tex]

The highest exponent gives you the degree of the polynomial. In this case, the highest exponent is 3, then it is a polynomial of degree 3 or a cubic polynomial.

When a polynomial has three terms, is called "trinomial". Since this polynomial has three terms, it is a trinomial.

Therefore, the you can classify it as:

Cubic trinomial

Answer:

C

Step-by-step explanation:

[tex]4.5x(2 - 6) \\ \\ 1. \: 4.5x \times - 4 \\ 2. \: = - 18x[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{You could solve this equation by distributing}[/tex]

[tex]\text{The Algebraic I formula for distribution is: a(b + c) = ab + ac}[/tex]

[tex]\text{4.5x(2 - 6)}\\\text{4.5x(2) = 9x}\\\text{4.5x(-6)= -27x}[/tex]

[tex]\text{Combine like terms: 9x - 27x = ?}[/tex]

[tex]\text{Solve that}\uparrow\text{you should get the rest of -18x}[/tex]

[tex]\boxed{\boxed{\text{Answer: -18x}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

D. should be the correct answer. Hope this helps.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

took test

Answer:

[tex]V=152\pi in^{2}[/tex] in terms or pi

[tex]V=477.52in^{2}[/tex] simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

[tex]V=\pi r^{2} h[/tex]

where

[tex]V[/tex] is the volume of the cylinder

[tex]r[/tex] is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: [tex]r=\frac{d}{2} =\frac{8in}{2} =4in[/tex]. Now, 9 1/2 inches is 9 and a half inches, so [tex]h=9.5in[/tex].

Replacing values:

[tex]V=\pi (4in)^{2} (9.5in)[/tex]

[tex]V=\pi (16in^{2})(9.5in)[/tex]

[tex]V=152\pi in^{2}[/tex]

[tex]V=477.52in^{2}[/tex]

We can conclude that the volume of our cylinder is [tex]V=152\pi in^{2}[/tex] in terms of pi, or [tex]V=477.52in^{2}[/tex] simplified.

Answer:

[tex]V=477.5in^3[/tex]

Step-by-step explanation:

The volume of a cylinder can be calculated using the formula;

[tex]V=\pi r^2h[/tex]

where the radius is half of the diameter of the circle.

[tex]r=\frac{8}{2} =4in.[/tex]

The height of the cylinder is

[tex]h=9\frac{1}{2}=\frac{19}{2}in.[/tex]

We substitute the values into the formula to obtain;

[tex]V=\pi\times 4^2\times \frac{19}{2}[/tex]

[tex]V=477.5in^3[/tex]

correct to the nearest tenth

Answer:

The mean will decrease.

Answer:

The correct option is B.

Step-by-step explanation:

From the given dot plot we can create a frequency table.

  x                   f

 1.5                 2

  2                  1

 2.5                3

  3                  1

 3.5                2

  4                   1

This data can be written as

1.5, 1.5, 2, 2.5, 2.5, 2.5, 3, 3.5, 3.5, 4

The mean of the data is

[tex]Mean=\frac{\sum x}{n}=\frac{1.5+1.5+2+2.5+2.5+2.5+3+3.5+3.5+4}{10}=2.65[/tex]

The number of terms is 10 which is an even number. So, the median of the data is

[tex]Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{5th+6th}{2}=\frac{2.5+2.5}{2}=2.5[/tex]

If next student presents a monologue that is about 0.5 minutes long, then the new data is

0.5, 1.5, 1.5, 2, 2.5, 2.5, 2.5, 3, 3.5, 3.5, 4

The mean of the new data is

[tex]Mean=\frac{\sum x}{n}=\frac{0.5+1.5+1.5+2+2.5+2.5+2.5+3+3.5+3.5+4}{11}=2.4545..\approx 2.45[/tex]

The number of terms is 11 which is an odd number. So, the median of the new data is

[tex]Median=(\frac{n+1}{2})th=6th=2.5[/tex]

Median of given data and new data is same but the mean of new data is less than the mean of original data. It means the mean will decrease.

Therefore the correct option is B.

Rewrite both fractions so they have a common denominator:

-3/6 = -21/42

-5/7 = -30/42

Now you have -21/42 - 30/42

Now subtract to get:

-51/42 which reduces to -17/14 = -1 3/14

The simplification of the expression is,-17/14. The simplification is done by applying the mathematical operation step by step.

Simplification usually entails doing out the expression's pending processes.

The given expression is

(-3/6) –(5/7)

The LCM of the 6 and 7 is 42 so  rewrite the equation as;

(-3×7)/42 – (5×6)/7

(-21/42)-30/42

-51/42

Divide by 3 from the numerator and denominator we get;

-17/14

Hence, the simplification of the expression is,-17/14

To learn more about the simplification, refer:

https://brainly.com/question/23509407

#SPJ2

Answer:

3) y = 50 * 2¹²ˣ

2) y = 80 * 2⁸ˣ

Step-by-step explanation:

1 day = 24 hours

Number of 2-hour periods in 1 day = 24 ÷ 2 = 12

Number of 3-hour periods in 1 day = 24 ÷ 3 = 8

Colby's experiment:

y = 50 * 2¹²ˣ

Jaquan's experiment:

y = 80 * 2⁸ˣ

Answer:

y=x^2-3x

Step-by-step explanation:

Final answer:

A fourth degree polynomial with real roots at 0, 3 and a double real root at -1 passes through the point (2, 12). The equation for the function is -2x(x - 3)(x - 3)(x + 1).

Explanation:

A fourth degree polynomial with real roots at 0, 3 and a double real root at -1 can be expressed as:

f(x) = a(x - 0)(x - 3)(x - 3)(x + 1)

To find the value of 'a', we can substitute the point (2, 12) into the equation:

12 = a(2 - 0)(2 - 3)(2 - 3)(2 + 1)

12 = -6a

a = -2

So, the equation for the function is:

f(x) = -2x(x - 3)(x - 3)(x + 1)

For this case, when making the division of polynomials, we must build a quotient that when multiplied by the divisor of the same as the terms of the dividend, the sign is changed and they are eliminated until reaching the remainder of the division.

It must be fulfilled that:

[tex]Dividend = Quotient * Divider + Remainder[/tex]

When observing the attached figure, the quotient is:

[tex]x ^ 2-2x-3[/tex]

Answer:

[tex]x ^ 2-2x-3[/tex]

See attached image

Answer:

a. 13,2 in.

Step-by-step explanation:

66 : 2.5 = 26.4

0.5 x 26.4 = 13.2

By creating a proportion based on the heights shown in the photo and Alice's actual height, we can calculate that Alice's dog's actual height is 13.2 inches, which is option A.

To find out how tall Alice's dog is in reality, we need to use the ratio of their heights in the photograph to determine the dog's actual height. In the photograph, Alice's height is 2.5 inches and her dog's height is 0.5 inches, while her actual height is 66 inches. This creates a ratio that we can use to calculate the dog's actual height.

First, we set up a proportion where the height of Alice in the photo is to her actual height as the height of the dog in the photo is to the dog's actual height:

2.5 inches / 66 inches = 0.5 inches / x inches

Now we solve for x, which represents the dog's actual height:

x = (0.5 inches * 66 inches) / 2.5 inches

After performing the multiplication and division, we get:

x = 13.2 inches

Therefore, the height of Alice's dog in reality is 13.2 inches, which corresponds to option A.

Answer:

$12 per dozen muffins

Step-by-step explanation:

3.00/3 = 1

1x = the price of one muffin

1(12) = 12

Step 1: Find what the price is per muffin. To do this you must divide $3.00 by 3 muffins (this will tell you dollar per muffin or $/muffin)

3 ÷ 3 = 1

This means that every muffin is $1

Since we know this, and we know that a dozen means 12 we can multiply 1 by 12 to find how much you would pay for a dozen muffins

12 × 1 = 12

It's $12 per dozen muffins

Hope this helped!

Answer:

$25

Step-by-step explanation:

i have an odd method of solving these types of equations

25x=100

x=4

340/4 = 85

85 x 3 = 255

Answer:

13.6

Step-by-step explanation:

so i did 340 devided by 25 and thats how i got it i hope this is helpful

the value effects it by now much they have so you can determine who has the most and who has the least

Answer:

$1.01

Step-by-step explanation:

To find the cost of one ounce of birdseed, first convert the weight to ounces (4 pounds equals 64 ounces) and then divide the total cost by the total number of ounces. The result is approximately $0.11 per ounce.

First, we need to convert the weight from pounds to ounces since there are 16 ounces in 1 pound. So, 4 pounds is equivalent to 4 × 16, which equals 64 ounces.

Now, if 4 pounds (or 64 ounces) of birdseed cost $6.95, we want to find the cost of one ounce. To do this, we divide the total cost by the total number of ounces:

$6.95 / 64{ ounces} = approximately $0.10859375 { per ounce}

This result is the cost per ounce. So, the approximation for the cost of 1 ounce of birdseed is roughly $0.11 (rounded to 2 decimal places).

Answer:

Characteristics of the axis of symmetry include the following: It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry. It intersects a parabola at its vertex. It is a vertical line with the equation of x = -b/2a.

Step-by-step explanation:

Answer: i need a pic to know what your asking for.

The 3rd one.....................

Answer:

Fourth option

Step-by-step explanation:

An m×n matrix is a matrix with m rows (horizontal lines) and n columns (vertical lines).

By definition, the multiplication of two matrices [tex]m_1[/tex]×[tex]n_1[/tex] and [tex]m_2[/tex]×[tex]n_2[/tex] can be done only if:

[tex]n_1 = m_2[/tex]

In the first option:

[tex]n_1 = 2\\m_2 = 1[/tex]

In the second option

[tex]n_1 = 1\\m_2 = 2[/tex]

In the third option

[tex]n_1 = 2\\m_2 = 1[/tex]

In the fourth option

[tex]n_1 = 1\\m_2 = 1[/tex]

[tex]n_1 = m_2[/tex] Multiplication can be done