Mr. Martin and his son, Luke, decide to walk a 12
kilometer trail. Mr. Martin takes a 1-hour head start and
walks at a pace of 3 km/hr. Explain how fast Luke should
walk to reach the end of the trail in 3 hours, the same time
as Mr. Martin.

Answer:

Slope intercept form is y = mx + b

Step-by-step explanation:

Your welcome

Answer:

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]{12x +1} + 4[/tex]

[tex]g(x) = log(x-3)+6[/tex]

Required

Determine (g - f)(x)

In functions:

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

So, we have:

[tex](g - f)(x) = log(x-3)+6 - (\sqrt[3]{12x +1} + 4)[/tex]

Open bracket

[tex](g - f)(x) = log(x-3)+6 - \sqrt[3]{12x +1} - 4[/tex]

Collect Like Terms

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} - 4+6[/tex]

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]

Answer:

[tex]→(g - f)(x) = g(x) - f(x) \\ → (log(x - 3) + 6) - (\sqrt[3]{12x + 1} + 4) \\→ log(x - 3) + 6 - \sqrt[3]{12x + 1} - 4 \\→\boxed{ log(x - 3) - \sqrt[3]{12x + 1} + 2}✓[/tex]

Answer:

x < -2

Step-by-step explanation:

Hey there!

The answer to your question is [tex]x < -2[/tex]

Tip: Remember to flip the inequality signs when you multiply/divide by a negative number!

[tex]12 - 6x > 24[/tex]

[tex]-6x > 12[/tex]           (Subtract 12 from both sides)

[tex]x < -2[/tex]              (Divide both sides by -6)

Hope it helps and have a great day!

Answer:

3

Step-by-step explanation:

1st step:  (6-5) = 1; you now have:

[4 - 5 - 7(1) + 7)] + 4

2nd step:  7(1) = 7; you now have:

[4 - (5 - 7 + 7)] + 4

3rd step:  5 - 7 + 7 = 5; you now have:

[4 - 5] + 4, which is (-1 + 4) which equals 3

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

[tex]\huge\textsf{[4 - (5 - 7(6 - 5) + 7)] + 4}[/tex]

[tex]\huge\textsf{6 - 5 = \bf 1}[/tex]

[tex]\huge\textsf{4 - (5 - (7)(1) + 7) + 4}[/tex]

[tex]\huge\textsf{7(1) = \bf 7}[/tex]

[tex]\huge\textsf{4 - (5 - 7 + 7) + 4}[/tex]

[tex]\huge\textsf{5 - 7 = \bf -2}[/tex]

[tex]\huge\textsf{4 - (-2 + 7) + 4}[/tex]

[tex]\huge\textsf{4 - 5 + 4}[/tex]

[tex]\huge\textsf{4 - 5 = \bf -1}[/tex]

[tex]\huge\textsf{-1 + 4}[/tex]

[tex]\huge\textsf{= \bf 3}[/tex]

[tex]\boxed{\boxed{\huge\textsf{{Therefore, your ANSWER is: 3}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Complete question :

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming

Which statement best describes the depth of the fish

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

Answer:

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

Step-by-step explanation:

Given the equation :

y = - 7x - 3

y = depth of fish in meters ; x = Number of seconds fish has been swimming

From the equation ; which is written according to the slope - intercept equation, ; y = mx + c

The slope, m = - 7 is the rate of change in y per unit of x

c = intercept, constant, value of y when x = 0

Hence, the true statement in the equation is :

-7 represents descent and meams fish descents at a rate of 7 m per second

At x = 0, the fish is at a depth of 3 m

Answer:

The new granite countertop will cost $824.

Step-by-step explanation:

Step 1: The problem is to determine how many yards per square that the countertop is made up of.

This is the equivalent of finding the square area of the countertop.

The formula for the square area of a rectangle is given as L x W.

Where L = Lenght which is equal to 3 yards

W = 1 yard

Step 2:

Cost of per square yard required therefore is

3 x 1 = 3 square Yards.

The granite required for the countertop project therefore will cost:

$206 x 3 = $824.00

Cheers!

Given:

Cost of lunch = $40

Rate of sales tax = 15%

Rate of tip = 20% on $40.

To find:

The amount Damon pay.

Solution:

We have,

Cost of lunch = $40

Rate of sales tax = 15%

[tex]\text{Sales tax}=\dfrac{15}{100}\times 40[/tex]

[tex]\text{Sales tax}=6[/tex]

Rate of tip = 20% on $40

[tex]\text{Tip}=\dfrac{20}{100}\times 40[/tex]

[tex]\text{Tip}=8[/tex]

Now,

Total amount = Amount + Sales tax + Tip

                      = [tex]40+6+8[/tex]

                      = [tex]54[/tex]

Therefore, Damon pays total $54.

Answer:

1 -90 degrees

2-8in

3-16in

Step-by-step explanation:

1. 90 degrees

2. MB=8 inches

3. AC=16 inches

Answer:

85%

Step-by-step explanation:

with OR (as opposed to AND), you add probabilitites

with AND, you multiply them

P(coffee OR food) = .55 + .30 = .85

Answer: 3

Step-by-step explanation:

The coordinate answer to the system of equations is (2, 3), which means that the x value is 2, and the y value is 3

Answer:

The answer should be A

Step-by-step explanation:

y=3x+2

First, check the y-intercept, which is 2 in this case. Only A, B, and D crosses the y-axis at 2.

Next, check the slope (I didn't calculate every one of the slopes)

the slope, from the equation is 3, so the graph should be positive (left to right always)

Only graph A has a positive slope and a y-intercept of 2.

Answer: B

Step-by-step explanation:

Answer:

whaaaa

Step-by-step explanation:

uhhhh hmmmmmmmmmmmmmm

Answer:

JL is 111 miles

Step-by-step explanation:

When we talk of round trips, we mean the distance going plus the distance coming

To get the actual distance between the two places, we need to divide by 2

K to L is round trip 548 miles

K to L distance is 548/2 = 274 miles

K to J round trip is 326 miles

K to J distance is 326/2 = 163 miles

From what we have ;

KL = KJ + JL

274 = 163 + JL

JL = 274-163

JL = 111 miles

To justify our answer, we can see that J is between K and L

if we added the distance KJ and JL, we should get the distance KL

from the calculations we have made, we can see that this is correct and our answer is justified

Answer:

48

Step-by-step explanation:

80 over 100*150

80 divided by 100=0.8 *150=1208student

0.8 *60 = 48

Answer:

52[tex]\pi[/tex]

Step-by-step explanation:

The total shaded are will be the area of big circle - not shaded circle + little shaded circle.

The are of big shaded circle: [tex]\pi[/tex][tex]r^{2}[/tex] So, A=[tex]\pi[/tex](8^2)= 64[tex]\pi[/tex]

The are of not shaded circle: [tex]\pi r^{2}[/tex] So, A= [tex]\pi[/tex](4^2)= 16[tex]\pi[/tex]

The are of little shaded cirlce: [tex]\pi r^{2}[/tex] So, A=[tex]\pi[/tex](2^2)= 4[tex]\pi[/tex]

64[tex]\pi[/tex] - 16[tex]\pi[/tex] + 4[tex]\pi[/tex]= 52[tex]\pi[/tex]

Answer:

(y − 9) (y − 2)

Step-by-step explanation:

Factor  y^2 − 11y + 18 using the AC method.

(y − 9) (y − 2)

The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.

Answer:

A≈527.79

Step-by-step explanation:

A=2πrh+2πr2

Brainly plss

Answer:

Here,

x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)

or,x+3x + 25° + 95° + 80° =360°

or,4x + 200 = 360°

or,4x = 360 - 200

or,4x = 160

or,x = 160÷4

or,x = 40

Now,

Angle K = (x + 25)° = 40 + 25° = 65°

Angle L = 3x° = 3 × 40° = 120°

Answer:

the missing side is √65

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

√65 = √c^2

√65 = c

The total charge with tax will be 1.08c.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Grocery store charges = c

And, Tax is 8% added to the charges.

Now,

Since, Tax is 8% added to the charges.

Hence, The total charge with tax = c + 8% of c

                                                   = c + 8/100 × c

                                                   = c + 0.08c

                                                   = 1.08c

Thus, The total charge with tax = 1.08c.

Learn more about the percent visit:

https://brainly.com/question/24877689

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Answer:

Slope is: 2/10x

Y-intercept is: (0,2)

Equation: y=2/10x+2

Step-by-step explanation:

OK

Answer:

69.08

Step-by-step explanation:

C=2πr

Brainly plss

Answer :

There are 6 1/8 in 3/4