Find the linear function f(x) for which both f(−2) = 6 and f(4) = −4. Which one of the following matches the correct function?a. f(x) = -1/2x + 5b. f(x) = -5/3x + 8/3 c. f(x) = -1/2x - 2d. f(x) = 2x + 10

Cada estudiante debe pagar 2.88 pesos para consumir 3 rebanadas.

Si sabemos que existen 52 alumnos que quieren comer 3 rebanadas, entonces tenemos que el total requerido de rebanadas es de 156 rebanadas.

Además, si dos pizzas tienen 16 rebanadas y cuestan 150 pesos, entonces el número de rebanadas dividido por el par de cajas es 1.025 pares. Por ende, quedarían 4 rebanadas sobrantes que pueden ser compartidas por alguien más o vendidas a alguien más a cambio de una tarifa módica.

Por último, el monto a pagar por cada estudiante es el precio de la oferta dividido el número de estudiantes. En consecuencia, cada estudiante debe pagar aproximadamente 2.88 pesos.  

Cada estudiante debe pagar 2.88 pesos para consumir 3 rebanadas. \(\blacksquare\)

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Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Answer:

Step-by-step explanation:

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

28

Step-by-step explanation:

multiply the hieght by the base you will get 56 then divide it by 2

Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

The surface area of the cylinder is 905 square centimeters

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

                                          = 64

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Answer:

30xy

Step-by-step explanation:

I divided this shape into a square and a rectangle.

Solve:

First I multiplied 2x and 3y

2x*3y= 6xy

Then I multiplied 6x and 4y

6x*4y= 24xy

Then I added them together

24xy+6xy= 30xy

Hope this helps!

Answer:

2.6 hours

Step-by-step explanation:

75+85

160x/160= 416/160

=2.6

Answer:

1/10

Step-by-step explanation:

Please see the attached photo. Hope it helps! :D

Answer:

\( x = \dfrac{1}{10} \)

Step-by-step explanation:

\( 4^{\frac{3}{4}} \times 2^x = 16^{\frac{2}{5}} \)

\( (2^2)^{\frac{3}{4}} \times 2^x = (2^4)^{\frac{2}{5}} \)

\( 2^{2 \times \frac{3}{4}} \times 2^x = 2^{4 \times \frac{2}{5}} \)

\( 2^{\frac{3}{2}} \times 2^x = 2^{\frac{8}{5}} \)

\( 2^{\frac{3}{2} + x} = 2^{\frac{8}{5}} \)

\( x + \dfrac{3}{2} = \dfrac{8}{5} \)

\( 10x + 15 = 16 \)

\( 10x = 1 \)

\( x = \dfrac{1}{10} \)

Answer:

1) (2,1)

2) (-2,3)

3) (0,3)

4 (0,1)

5) (-1,-1)

6) (-1,-3)

Answer:

-5/12

Step-by-step explanation:

you need to simplify both sides of the equasion, then isolate the variable

The probability that the sample mean will be less than 295 is 42.07%

The life of electric bulb follows Normal distribution

Given ,

Average life : mean = 300hours

Standard deviation = 25

Sample size = 100

Probability that the sample mean will be less than 295 = P(x<295)

P(x < 295) =

subtracting 300 and dividing each by 25

\(P(\frac{x - 300}{25} < \frac{295 - 300}{25} )\)

solving and putting \(\frac{x - 300}{25}\) equal to z

P(Z < -5/25) = P(Z < -0.2)

Using Z probability table ,

P(x < 295) = 0.4207

Hence , probability that the sample mean will be less than 295 is 42%

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Answer:

49

Step-by-step explanation:

x^2-14x+c

Take the coefficient of x

-14

Divide by 2

-14/2 = -7

Square it

(-7)^2

49

This is the number you add

The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

Answer:

Dustin Earns $14,000 in a year but in the question, we are given the salary of a month

Monthly salary of dustin:

14000 / 12 = $1,166 (approx)

Hence,

The actual monthly salary of Dustin is $1166, excluding the commissions

For a specific month, the salary of Dustin including the commissions is $2,400

Money earned in commissions:

Salary earned  - Actual monthly salary

2400 - 1166 = $1,234

We are given the sales of Dustin for that specific month = $ 18,000

Hence, Dustin Earned a commission of $1,234 for sales of $18,000

Commission rate of Dustin:

Commission Earned * 100 / Sales made

1234 * 100 / 18000

6.856 %

Therefore, the commission rate of Dustin is 6.856%

After other workers taken 1 banana, 2 oranges and 1 pear then total fruits left in the basket

Now the number of oranges left is 4.

So the probability of picking an orange from the basket is

After she took 1st orange then the number of oranges left 3

So the probability of picking an orange for the 2nd time is

Now the number of oranges left is 2, and the total number of fruits is 9. So the probability of picking third fruit also orange is

Answer:

Hi there!

Your answer is:

$78

Step-by-step explanation:

To set up this equation:

75+ (.04× 75)

Change 4% into decimal format

75+ ( 3)

78

Hope this helps!

The total cost of the sneakers including sales tax is $78.

Percentage of a value is defined as the representation of that value in terms of fraction of 100.

Here,

The original cost of the sneakers = $75

Percentage of sales tax = 4%

Amount paid as sale tax = 4% of $75 = 0.04 x 75

                                        = $3

Therefore,

The total cost of the sneakers = $75 + $3

Total cost = $78

Hence,

The total cost of the sneakers including sales tax is $78.

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Answer:

2(3+2)

Step-by-step explanation:

Check the picture below.

\(\tan(40^o )=\cfrac{\stackrel{opposite}{z}}{\underset{adjacent}{30}} \implies 30\tan(40^o)=z \implies 25.17\approx z \\\\[-0.35em] ~\dotfill\\\\ \cos(65^o )\approx\cfrac{\stackrel{adjacent}{25.17}}{\underset{hypotenuse}{x}} \implies x\cos(65^o)\approx25.17 \\\\\\ x\approx\cfrac{25.17}{\cos(65^o)}\implies x\approx 59.56\)

Make sure your calculator is in Degree mode.

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

The estimated cost of the ending inventory, assuming the gross profit rate is 35% is; $11250

Let us first calculate the gross profit;

Gross Profit = Sales * Profit%

Gross Profit = 395000 * 35%

Gross Profit = $138250

Cost of goods sold = Sales - Gross Profit

Cost of goods sold = 395000 - 138250

Cost of goods sold = $256750

Cost of ending inventory = Cost of goods available for sale - Cost of goods sold

Cost of ending inventory = 268000 - 256750

Cost of ending inventory = $11250

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Answer:

We cant drag?

Step-by-step explanation:

Answer:

43.5%

Step-by-step explanation:

Substitute the original price of $850 and the sale price of $480 to find

amount of discount=850−480=370

Use the amount of discount, $370, to find the discount rate. Use the equation

amount of discount=discount rate×original price.

Rearrange the equation to solve for the unknown value.

discount rate=amount of discountoriginal price

Substitute in the known values and solve to find the discount rate.

370850=0.435=43.5%

Thus, the discount rate on the patio set was 43.5%.