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Stels [109]
2 years ago
6

Help asap!!! exponential function matching table..?

Mathematics
1 answer:
masha68 [24]2 years ago
6 0

Answer:

Step-by-step explanation:

Exponential equations have the form of a geometric sequence

y=ar^x\text{ y=final value, a=initial value, r=common ratio, x=term number}\\ \\ \text{The common ratio is found by dividing any term by the previous term, in this case}\\ \\ r=\frac{1}{3},\ a=27\\ \\ f(x)=27\left(\frac{1}{3}\right)^x

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Jake is using a horse trailer to take his horses to his new ranch. 1 Horse= 1,200 lb Trailer= 2,700 lb Jake's truck can tow a ma
Kitty [74]

Answer:

Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

Step-by-step explanation:

Given:

Weight of 1 horse = 1,200 lb

Weight of trailer = 2,700 lb

Jacks'truck can tow a maximum of 5000 pounds.

To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.

Solution:

Let the maximum number of horses that Jack can take be = x

Using unitary method to find weight of x horses.

If 1 horse weights = 1,200 lb

Then x horses will weight in lbs = 1,200\times x = 1,200x

Total weight of horses and trailer in lbs = 1200x+2700

Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:

1200x+2700\leq5000

Subtracting both sides by 2700.

1200x+2700-2700\leq5000-2700

1200x\leq2300

Dividing both sides by 1200.

\frac{1200x}{1200}\leq\frac{2300}{1200}

x\leq1.91

From the inequality solution for x, we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

3 0
3 years ago
A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8,
GenaCL600 [577]

Answer:

\text{The slope of the line t:}\ m=-\dfrac{3}{4}\\\\\text{The y-intercept of the line t:}\ b=2\\\\\text{The equation of a line t in the slope-intercept form:}\ y=-\dfrac{3}{4}x+2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept → (0, b)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (8, -4) and (0, 2) → b = 2.

Calculate the slope:

m=\dfrac{2-(-4)}{0-8}=\dfrac{6}{-8}=-\dfrac{3}{4}

Therefore the equation of a line t in the slope-intercept form is:

y=-\dfrac{3}{4}x+2

5 0
3 years ago
Read 2 more answers
What is the perimeter of a triangle with side lengths of 9, 12, and 4x?
ludmilkaskok [199]
The answer is 21 + 4x.


You find this answer by adding up all the sides.
9+12+4x= 21+4x ... you don't add 4x because it has a variable that we do not know of the value.
3 0
3 years ago
Ayana has 220 coins in her piggy bank Of those 40percent are pennies. Out of the coins that are not pennies 25 percent are partn
Rzqust [24]
To find a percent of a number, multiply the percent by the number.

First we find the number of pennies.

40% of 220 =

= 40% * 220

= 0.4 * 220

= 88

88 coins are pennies.

220 - 88 = 132

132 coins are not pennies.

Now we find 25% of 132.

25% of 132 =

= 25% * 132

= 0.25 * 132

= 33

33 coins are partners.

(Did you mean quarters instead of partners?)
3 0
3 years ago
Solve for x 11x-7= 3x+9
elixir [45]

Answer: x=2

Step-by-step explanation:

first subtract 3x from both sides

then your equation will be 8x-7=9 then you will add 7 to both sides getting 8x=16 then divide both sides by 8 and x=2

5 0
3 years ago
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