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Hitman42 [59]
3 years ago
13

A human society has 73 dogs and cats to be adopted. the number of cats is 10 more than twice the number of dogs. Write a system

of linear equations that represent this situation. How many of each animal is up for adoption?
Mathematics
1 answer:
viktelen [127]3 years ago
8 0
Total: 73
dogs: x
cats: 2x+10

2x+10+x=73
3x+10=73
3x=63
x=21

dogs: x
dogs: 21

cats: 2x+10
cats: 52

Check answer:
cats+dogs=73
52+21=73

There's no need for a system of linear equations if you were to solve a real life problem like this. In calculus, they don't give a rat about HOW you get your answer to an easy algebra 1 equation, as long as you used one of the correct methods and got the right answer.

Best of luck my friend. :)
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sertanlavr [38]

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85°

Step-by-step explanation: Hope it helps!

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Given that f(–2.4) = -1 and f(-1.9) = -8, approximate<br> f'(-2.4).<br> f'(-2.4)
lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Functions

  • Function Notation

<u>Calculus</u>

Differentiation

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  • Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.

<u>Step 1: Define</u>

<em>Identify.</em>

f(-2.4) = -1

f(-1.9) = -8

<u>Step 2: Differentiate</u>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. [Derivative] Set up [Slope Formula]:                                                           \displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}
  2. Substitute in coordinates:                                                                           \displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}
  3. Evaluate:                                                                                                       \displaystyle f'(-2.4) \approx -14

---

Learn more about derivatives: brainly.com/question/17830594

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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2 years ago
The formula for the volume of a right circular cone, V, is given below, where r represents the radius of the base of the cone an
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Answer:

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Step-by-step explanation:

we know that

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V=\frac{1}{3}\pi r^{2}h

where

r is the radius of the base of the cone

h is the height

Solve for r-----> That means, isolate the variable r

so

step 1

Multiply by 3 both sides

3V=\pi r^{2}h

step 2

Divide by (\pi h) both sides

\frac{3V}{(\pi h)}=r^{2}

step 3

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7 0
3 years ago
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85,000,000+2.9×10 5 pleas and thank you
irina [24]

Answer:

Step-by-step explanation:

Assuming you are asking for

85,000,000 + 2.9 x 10^5 =

8.5 x 10^7 + 2.9 x 10^5 =

10^5 ( 8.5 x10^2 + 2.9) =

10^5 ( 850+2.9) =

10^5 ( 852.9) =

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85,000,000 + 2.9 x 10^5 =

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8.529 x 10 ^7 (because we moved 7 spots to the left)

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wel

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6^4 * 6^4 = 6^(4+4) = 6^8

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