Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the number of hours. Gertrude's income is g(x) = 4x + 20. If Frank and Gertrude were to combine their efforts, their income would be h(x) = f(x) + g(x). Assume Frank works 4 hours. Create the function h(x) and indicate if Frank will make more money working alone or by teaming with Gertrude.

Answers

Answer 1

Answer: find h(x)
f(x)+g(x)=5x+15+4x+20=9x+35

ok so if gertrude works 4
f(x)=5x+15
f(4)=5(4)+15
f(4)=35

if we input 4 for x in f(x) to find how much made togethe rin 4 hours
h(4)=9x+35
h(4)=9(4)+35
h(4)=36+35
h(4)=71

split evenly?
71/2=35.5

frankalone=35 for 4 hours
frankwithgertrued=35.5 for 4 hours
slightly bettewr with gerturde

Answer 2

Answer:

h(x)= 9x + 35, team with Gertrude

Step-by-step explanation:

Just took the (02.08) test

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Answers

Answer:

20 ft² - 4ft² = 16 ft²

Step-by-step explanation:

First we solve for the whole rectangle:

Formula: A = ab

side length a = 5 in

side length b = 4 in

diagonal p = q = 6.4031242374328 in

perimeter P = 18 in

area A = 20 in²

Second we deduct the Area of the cutout of the Square

side length a = 2 ft

Area = a² = 4 ft²

If f(x)=3x+7 and g(x)=2x-5 find g(f(-3))

A. -26 B.-9 C. -1 D. 10

Answers

The value of g(f(-3)) would be -9 which is the correct answer would be an option (B).

What exactly is a function?

A function is defined as a mathematical phrase that specifies a connection between two variables in algebra.

We have been given the functions below as

f(x) = 3x + 7 and g(x) = 2x - 5

We have to determine the value of g(f(-3))

Substitute the value of f(x) = 3x + 7 in the g(x) = 2x - 5 to get g(f(x))

⇒ g(f(x)) = 2(3x + 7) - 5

Apply the distributive property of multiplication,

⇒ g(f(x)) = 6x + 14 - 5

⇒ g(f(x)) = 6x + 9

Substitute the value of x = -3 in the g(x) = 2x - 5 to get g(f(-3))

⇒ g(f(-3)) = 6(-3) + 9

⇒ g(f(-3)) = -18 + 9

⇒ g(f(-3)) = -9

Therefore, the value of g(f(-3)) would be -9.

Learn more about the functions here:

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$f(x)=3x+7 \n g(x)=2x-5 \n \n g(f(-3)) = ? \n \nf(-3)=3x+7 =3 \cdot (-3)+7=-9+7=-2 \n \n g(-2)=2x-5 =2*(-2)-5=-4-5 = -9\n \n g(f(-3)) = -9 \n \n Answer: \ B.) \ \ -9$

1. 360 miles in 6 hours

Answers

Answer:

60mph

Step-by-step explanation:

Which functions are symmetric with respect to the origin?y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx

Answers

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

$\rm y = sin^(-1)(0)=0$

$\rm y = cos^(-1)(0)=1.57$

Step 3 - Substitute (x = 0) in option b), that is:

$\rm y = cos^(-1)(0)=1.57$

$\rm y = tan^(-1)(0)=0$

Step 4 - Substitute (x = 0) in option c), that is:

$\rm y = tan^(-1)(0)=0$

$\rm y = cot^(-1)(0)=1.57$

Step 5 - Substitute (x = 0) in option d), that is:

$\rm y = tan^(-1)(0)=0$

$\rm y = sin^(-1)(0)=0$

For more information, refer to the link given below:

brainly.com/question/13710437

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0, arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2) y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. The resulting cross section is :Parabola
eclipse
circle
hyperbola

Answers

Answer:

The answer is Ellipse

Step-by-step explanation:

Answer:

its not parabola for plato i got it wrong

Step-by-step explanation:

A quarterback completed 68% of his passes in a game. He threw 25 passes. How many passes did the quarterback complete?

Answers

$Find\ 68\%\ of \ 25\ passed\ threw\n\n68\%*25=0,68*25=17\n\nHe\ completed\ 17\ passes.$

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