Given the following roots x = 2, -3, 4. Write a polynomial function p(x)​

Answer:

t≈ 8

Step-by-step explanation:

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

Compound interest formula

A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12

A=109700P=97000r=0.016n=12

Given values

109700=

109700=

\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}

97000(1+  

12

0.016

​  

)  

12t

Plug in values

109700=

109700=

\,\,97000(1.0013333)^{12t}

97000(1.0013333)  

12t

Simplify

\frac{109700}{97000}=

97000

109700

​  

=

\,\,\frac{97000(1.0013333)^{12t}}{97000}

97000

97000(1.0013333)  

12t

​  

Divide by 97000

1.1309278=

1.1309278=

\,\,1.0013333^{12t}

1.0013333  

12t

\log\left(1.1309278\right)=

log(1.1309278)=

\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)

log(1.0013333  

12t

)

Take the log of both sides

\log\left(1.1309278\right)=

log(1.1309278)=

\,\,\color{blue}{12t}\log\left(1.0013333\right)

12tlog(1.0013333)

Bring exponent to the front

\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=

log(1.0013333)

log(1.1309278)

​  

=

\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}

log(1.0013333)

12tlog(1.0013333)

​  

Divide both sides by log(1.0013333)

92.3402971=

92.3402971=

\,\,12t

12t

Use calculator

\frac{92.3402971}{12}=

12

92.3402971

​  

=

\,\,\frac{12t}{12}

12

12t

​  

Divide by 12

7.6950248=

7.6950248=

\,\,t

t

Answer:

I sorry can't help I'm doing Geometry

Answer: 270 people

Step-by-step explanation:

Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:

Fraction of people who gets there news from social media = 3/10

Fraction of people who got there news from other sources = 7/10

If there are 900 people, number of people who gets there news from social media will be:

= 3/10 × 900

= 3 × 90

= 270 people

Answer:

The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B

Step-by-step explanation:

You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let us use this rule to answer the question

From the attached graph:

∵ The given line passes through points (-1, -2) and (4, 2)

→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)

∴ x1 = -1 and x2 = 4

∴ y1 = -2 and y2 = 2

→ Substitute their values in the rule of the slope above

∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]

∴ The slope of the line is [tex]\frac{4}{5}[/tex]

Answer:

A+(N-1)*D

10+(N-1)*(-7)

10+(-7N+7)

10-7N+7

-7N+17

Step-by-step explanation:

using this equation you can find the rest of the numbers in the sequence

Answer:

A. 4 feet per minute

B. 24 feet

Step-by-step explanation:

Given that: distance = 10 feet

                   time = 2 1/2 minutes = 2.5 minutes

A. The descent rate is the speed with which an object descends with respect to a reference point or plane.

Speed is the rate of the distance moved to time taken.

speed = [tex]\frac{distance}{time}[/tex]

           = [tex]\frac{10}{2.5}[/tex]

           = 4 feet/minute

Andy's descent is 4 feet/minute.

B. If he continues at this rate, his distance in relation to sea level after 6 minutes would be;

speed = [tex]\frac{distance}{time}[/tex]

4 = [tex]\frac{distance}{6}[/tex]

distance = 4 x 6

              = 24 feet

Thus, Andy would be at 24 feet in relation to sea level after 6 minutes.

Answer:

y=-8x+48

Step-by-step explanation:

Slope is -8 because perpendicular slopes are negative reciprocals

Plug it in:

-8=7(-8)+b

48=b

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

Hence the slope of the line is -½.

Answer:

[tex]b. \:distributive \: property \: of \: equality \\ c. \: collect \: like \: terms\\ d. \: addition \: property \: of \: equality \\ e. \: division \: property \: of \: equality [/tex]

Answer:

The lines do not intersect. and The lines have the same slope.

Step-by-step explanation:

The two statements that are true for parallel lines are:

The lines do not intersect.

The lines have the same slope.

Here, we have,

given that,

Two lines are parallel.

we have, given options are:

The lines do not intersect.

The lines have the same slope.

The lines intersect and form 4 right angles.

The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.

now, we know that,

Parallel lines never intersect, and their slopes are equal.

The other two statements, that the lines intersect and form 4 right angles or two pairs of congruent opposite angles (one acute pair and one obtuse pair), are characteristics of perpendicular lines, not parallel lines.

so, we get,

The two statements that are true for parallel lines are:

The lines do not intersect.

The lines have the same slope.

learn more on parallel lines

https://brainly.com/question/5561942

#SPJ7

Answer:

the x intercept is the y and x combined together crossing each other

Answer:

7 seconds per song?

Step-by-step explanation:

Answer:

I assume you're asking how long it takes to download 1 song, which would be 7 seconds.

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

Answer:

Equation: y = x - 4

Slope: 1

y-intercept: -4

Equation: y = -9x + 5

Slope: -9

y-intercept: 5

Hope this helps!

Answer:

thirty-six million three hundred thousand

Step-by-step explanation:

It is just 36,300,000 in word form. Hope it helps!

Answer:

36300000 in scientific notation = 3.63 × 107.

Step-by-step explanation:

Answer: $0.14 per fluid ounce.

Step-by-step explanation: $4.48 divided by 32 = $0.14

Answer:

Step-by-step explanation:

y = a(x - h)² + k    - vertex form of quadratic function with vertex (h, k)

y = a(x - (-1))² + 5    - vertex form of quadratic function with vertex (-1, 5)

y = a(x +1)² + 5

graph goes through (2, -3) so if x=2 then y =-3

-3 = a(2+1)² + 5

-3 -5 = a×3² + 5 - 5

 -8 = 9a

  a = -⁸/₉

So the equation of the function:

                                                    y =  -⁸/₉(x + 1)² + 5

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Hope this helps!!!

Step-by-step explanation:

Believe it or not, we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies. For example, observe the graph of Sophie's function.

Answer:

Linear functions make graphs that are perfectly straight lines. Nonlinear functions have graphs that are curved.

Answer:

Una taza de vidrio tiene líneas verticales de simetría que pasan por la mitad del ancho perpendicular a la base.

Por lo tanto, una copa de vidrio bidimensional tiene una línea de simetría

Un par de anteojos tiene una línea de simetría que pasa por el punto medio del puente y es perpendicular al puente.

Una piñata de 6 puntas tiene tres ejes de simetría que atraviesan los tres pares lineales de piñatas.

Un jarrón bidimensional sin flores tiene líneas de simetría que pasan por el punto medio de la base y son perpendiculares a la base.

Una escalera simple tiene dos líneas de simetría, una que pasa por el punto medio y es perpendicular a la base, la otra es la línea de simetría horizontal que pasa por el punto medio de la longitud de la escalera y es perpendicular a la longitud de la escalera.

Step-by-step explanation:

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

Answer:

i need to know what for

Step-by-step explanation:

Answer:

forrr rwhatttt

Step-by-step explanation:

Answer:

The endpoint of an angle  

x

lies in the 4th quadrant. Here is why.

First of all, let's recall a few definitions.

Recall the definition of a trigonometric function  

sec

(

x

)

:

sec

(

x

)

=

(by definition)  

=

1

cos

(

x

)

Recall the definition of a trigonometric function  

cot

(

x

)

:

cot

(

x

)

=

(by definition)  

=

cos

(

x

)

sin

(

x

)

Step-by-step explanation:

jhyjyujtyuyju

Answer:

Step-by-step explanation:

Putting values into the equation

14(1) - 4 - 2(4)

14 - 4 - 8

10 - 8 = 2

Answer:

Step-by-step explanation:

gud question

Answer: 4

Step-by-step explanation:

By the exterior angle theorem,

[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]

Answer:

Step-by-step explanation:

Let b = bagels , d = donuts

Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70

We can write this as :

4b + 2d = 8.70

Scott bought 3 chocolate donuts for $2.55

3d = 2.55

First, let's find out the cost of 1 donut.

To do this, divide 2.55 by 3.

1d = 2.55/3 =0.85  (1 donut costs $0.85)

Substitute the value of d ( d = 0.85 ) into the equation 4b + 2d = 8.70

4b + 2d = 8.70

4b + 2 (0.85) = 8.70

4b + 1.7 = 8.70

Subtract 1.7 from both sides.

4b = 8.70 - 1.7

4b = 7

Divide both sides by 4 to find how much one bagel costs.

b = 7/4 = 1.75

Therefore, one bagel costs $1.75

Answer:

la respuesta es—6

esperó que te sirva

Answer:

Transformation: (x,y) → (x - 26, y + 17) or

[tex]T _{-26,17}[/tex](x,y) [translation]

A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.

Explanation:

Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).

Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.

The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.

Given all the points, the more complicated work is shown here:

(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).

When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.