Mathematics College

Consider continuous functions f and g. Then complete the statement.

(See attachment)

The x-intercept of the function f is (greater than, equal to, or less than) the x-intercept of function g.

(Multiple choice in the parentheses)

Correct answer receives BRAINLIEST! Have a great day. ❤️

Consider Continuous Functions F And G. Then Complete The Statement.(See Attachment)The X-intercept Of

Answers

Answer 1

Using the concept of x-intercept, it is found that the correct statement is:

The x-intercept of the function f is greater than the x-intercept of function g.

What is the x-intercept of a function?The x-intercept of a function is the value of x when y = 0.

In this problem, in function f(x), when f(x) = 0, x = 3, hence the x-intercept is x = 3.

Function g(x) is defined by:

[tex]g(x) = 2 + \sqrt[3]{3x + 1}[/tex]

Hence, the x-intercept of g(x) is found as follows:

[tex]g(x) = 0[/tex]

[tex]2 + \sqrt[3]{3x + 1} = 0[/tex]

[tex]\sqrt[3]{3x + 1} = -2[/tex]

[tex](\sqrt[3]{3x + 1})^3 = (-2)^3[/tex]

[tex]3x + 1 = -8[/tex]

[tex]3x = -9[/tex]

[tex]x = -\frac{9}{3}[/tex]

[tex]x = -3[/tex]

The x-intercept of g(x) is -3, which is less than the x-intercept of function f(x), hence, the correct statement is:

The x-intercept of the function f is greater than the x-intercept of function g.

To learn more about the concept of x-intercept, you can take a look at https://brainly.com/question/24737967

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Answers

Answer:

3(x-2)+6=6x-9

[tex]3x - 6 +6 =6 x - 9 \\ 3x - 6x = - 9 \\ - 3x = - 9 \\ x = - 9 \div - 3 = 3[/tex]

Prove that cos x + cos 3x + cos 5x + cos 7x = 4cos x cos 2x cos 4x

Answers

Step-by-step explanation:

Prove the following?

cos7x+cos5x+cos3x+cosx=4cosxcos2xcos4x

2

SEE ANSWERS

Answer

3.4/5

36

LHS=cos7x + cos5x + cos3x + cosx

=2cos[(7x+5x)/2].cos[(7x-5x)/2] + 2cos[(3x+x)/2].cos[(3x-x)/2]

[∵ cosA + cosB = 2.cos[(A+B)/2].cos[(A-B)/2]]

=2cos[(12x)/2].cos[(2x)/2] + 2cos[(4x)/2].cos[(2x)/2]

=2cos 6x.cosx+2cos2x.cosx

=2cosx(cos 6x+ cos 2x)

=2.cosx(2cos[(6x+2x)/2].cos[(6x-2x)/2]

=2.cosx(2cos4x.cos2x)

=4.cosx.cos2x.cos4x

=RHS.

hope this helps you!!!!! :))))))))

Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?

Answers

Answer:

x₁ = 60 pantalón de buzo

x₂ = 0  casaca

z(max) = 540 unidades de monedas

Step-by-step explanation:

El problema se resolverá usando un software de solución de problemas de optimización (integer linear programming solver)

z = 9*x₁ + 12*x₂       a maximizar

Sujeto a:

1) Primera restricción disponibilidad de algodón 500 m de tela

1*x₁ + 2*x₂   ≤ 500

2)Segunda restricción disponibilidad de poliester  520 m de tela

2*x₁ + 1*x₂ ≤ 520

3) Tercera restricción  tiempo disponible 8 h/d * 5 d/s = 40 h/s

40 * 60  = 240 minutos disponibles, entonces

4*x₁ + 10*x₂  ≤ 240

4)Restricciones generales  x₁ ≥ 0 ;   x₂ ≥ 0 ambas solo deben tomar valores enteros

Con el uso del calculador en línea se obtiene:

x₁ = 60

x₂ = 0

z(max) = 540

HELP WILL MARK BRAINLIEST

Answers

Answer:

(-3,-1)

Step-by-step explanation:

You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.

Victor runs 3 laps around the track every 5 minutes. How long would it take to run 6 laps?

Answers

I believe 10 Bc it says 3 laps every 5 min

What’s the difference between m=change in y and change in x and m =y2-y1and x2-x1

Answers

it's the same thing

[tex]slope = \frac{Δy}{Δx} or \frac{change \: in \: y}{change \: in \: x} = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} [/tex]

Please answer this correctly without making mistakes

Answers

Answer:

60%

Step-by-step explanation:

The shape is divided to 10 pieces and 6 of the pieces are painted if we multiply

6 put of 10 is orange therefore 60% of the sahpe is orange

Answer:

60%

Step-by-step explanation:

the number shaded divided bt the number of all division multiplied by 100

6÷10×100

=60%

If A= (-1,-3) and B= (11,-8) what is the length of AB?

Answers

Answer:

AB is 13

Step-by-step explanation

2x−5y−z=17
x+y+3z=19
−4x+6y+z=−20

Answers

You want us to answer all 3??

The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is

Answers

Answer:

[tex]D(x,y) = (-1.5,3.5)[/tex]

Step-by-step explanation:

Given

[tex]E = (-3,2)[/tex]

[tex]F = (3,8)[/tex]

[tex]ED: DF = 1 : 3[/tex]

Required

Determine the coordinates of D

This is calculated as thus:

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-3,2)[/tex]

[tex](x_2,y_2) = (3,8)[/tex]

[tex]m:n = 1:3[/tex]

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]

[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]

[tex]D(x,y) = (-1.5,3.5)[/tex]


Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?

Answers

Answer:

10

Step-by-step explanation:

I have 7 cookies. If I eat 1/4 of them of the cookies. How many cookies do I have left?

Answers

Answer:

6 thirds

Step-by-step explanation:

you're welcome

Express as a ratio in the lowest term 1.360meter to 3 kilometers 2.2 minutes to 14 seconds

Answers

Answer:

1360322

Step-by-step explanation:

do ot nowwwwwwwww

Solve the following equation: 7a-5=2a-15

Answers

Answer:

7a-5=2a -15

7a-2a=-15+5

5a=-10

5a/5=-10/5

a=-2

The angle of a triangle are in ratio 4:5:6.what is the angle of the triangle?​

Answers

Answer:

48, 60 and 72

Step-by-step explanation:

Given;

    The ratios of the angle in the triangle  = 4:5:6;

Unknown:

The angle of the triangle = ?

Solution:

  We must understand that the sum of angles in a triangle is 180°

 So as ratios;    4:5:6 denotes some certain multiples that sums up to  180°

 Let the multiple number  = x; so

      4x : 5x : 6x

      4x + 5x + 6x = 180

            15x = 180

                = 12

The angles in the triangles are:

        4(12) : 5(12) : 6(12)

        48 : 60 : 72

These angles are 48, 60 and 72

6 1/2 divided 3/8 of goldfish crackers

Answers

Answer:

I think it is 8

Step-by-step explanation:

6 1/2 divided by 3/8 = 8

hope this helped

6m + 4n + 3m - 6

What are the terms? Separate them with a comma.

Answers

6m, +4n, +3m, -6

(I also added a picture)

A Mountain road rises 30 feet for a 490-foot run. What is it’s slope

Answers

490/30 = 82

you simply just divide the two numbers to get slope

Answer:

Correct answer is 3/49

Step-by-step explanation:

Select the correct answer. Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)

Answers

Answer:

if you have LOF it is explained very well in there. When I was doing that kind of problem that was so helpful. Hope you find the same.

Step-by-step explanation:

Answer:

attached.

Step-by-step explanation:

HELP ME PLEASE I NEED A 80%

Answers

Answer:

m [slope] = 5/2

Step-by-step explanation:

Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).

There is a rise of 5 units for every run of 2 units.

(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)

m = ∆y/∆x [Change in y over the change in x]

m = 50/20

m = 5/2

Which diagram is not the graph of a function? Group of answer choices

Answers

Answer:

c

Step-by-step explanation:

because it is in circular shape

Between which pair of numbers is the of exact product
379 and 8

Answers

Answer:

3032

Step-by-step explanation:

379 x 8 = 3032

use math, also box method

Choose the best explanation that describes in words what the numerical value of the slope tells you.

a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.
b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.
c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Answers

Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible

Answers

the answer is -55 , because you have to simply the 14^2 to 16
For more anwsers for questions like these use math away love even thought the ads might be irritating it’s a great source ✨

I need help with this question

Answers

Answer:

1/3

Step-by-step explanation:

i hope this helps you! :)

Answer:

1/3

Step-by-step explanation:

When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.

a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves​

Answers

Answer:

8.49 per pair/pack of gloves

Step-by-step explanation:

i got this by taking 33.96 divided by 4 so i could find out how much for one pair

Whats the function to this math prob

Answers

Answer:

some reason i cant see the image is this just me

Step-by-step explanation:

Y is the vertical distance. The top of the curve is at y = 4 and the bottom of the curve is at y = -5, so the function would be between y -5 and y 5 which is written as :

D. -5 <= y <= 5

HELP ME PLEASE ASAO DUE SOON

Answers

Answer:

150 ft/hr

Step-by-step explanation:

Average rate of change is slope over an interval, so change in y over change in x:

[tex]\frac{3500-3200}{3-1} =150[/tex] ft/hr

Find the slope of the line y=4x+2

Answers

Answer:

M=4

Step-by-step explanation:

I hope this helps!

Helpppp!!!! Plzzzzzzzzz

Answers

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

the intersection of two planes is a line. Planes are like grids so if you have a 3d model, they'd create a line

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