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2 years ago

7

The perimeter of a triangle is 27 inches. The second side is 3 inches longer than the first side and the third side is twice as

long as the first side. How long is each side?

1 answer:

Angelina_Jolie [31]2 years ago

3 0

Divided 27 inches by the length of each side.

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1. An auto shop has 98 cans of oil at the

Troyanec [42]

Answer:

88 cans were sold, the most important variable is how much you started with and how much you ended with

Step-by-step explanation:

88 cans were sold because 98-10=88, and the most important variable is how much you started and ended with because the question asks how much were sold and you can't know that without knowing the start amount and end amount which is the 2 variables I used to get 88 in the equation (98-10)

The Equation is 98-10=88

5 0

2 years ago

Evaluate the square root of x^2 - 5x when x = 7. Round your answer to the nearest hundredth

Troyanec [42]

X^2-5x, given x=7,

(7)^2-5(7)=14

sqrt(14)=3.74

5 0

2 years ago

Read 2 more answers

F(x) = 3 - 2x and g(x) =<br> 1/X+5 what is the value of<br> (f/g)(8)

Nina [5.8K]

9514 1404 393

Answer:

(f/g)(8) = -104/41

Step-by-step explanation:

Fill in the value for x and do the arithmetic.

f(8) = 3 -2·8 = 3 -16 = -13

g(8) = 1/8 +5 = (1+40)/8 = 41/8

Then the ratio is ...

(f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41

(f/g)(8) = -104/41

8 0

2 years ago

What can you say about the y-values of the two functions f(x)=-5^x +2 and g(x)=-5x^2+2?

Kryger [21]

Answer:

B) The maximum y-value of f(x) approaches 2

C) g(x) has the largest possible y-value

Step-by-step explanation:

f(x)=-5^x+2

f(x) is an exponential function.

Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞

Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→

Lim x→ -∞ f(x) = 2

Then the maximun y-value of f(x) approaches 2

g(x)=-5x^2+2

g(x) is a quadratic function. The graph is a parabola

g(x)=ax^2+bx+c

a=-5<0, the parabola opens downward and has a maximum value at

x=-b/(2a)

b=0

c=2

x=-0/2(-5)

x=0/10

x=0

The maximum value is at x=0:

g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2

The maximum value of g(x) is 2

7 0

3 years ago

The quotient of two numbers is 3 and their sum is 8 what are he two numbers

Nezavi [6.7K]

<h2>Translating Word Equations into Numerical Equations</h2>

To change words into equations, we can recognize keywords that translate into operations and/or numbers:

<em>quotient</em> = divide
<em>a number/the number/two numbers</em> = variables
<em>sum</em> = add

<h2>Solving the Question</h2>

Let the two numbers be <em>a</em> and <em>b</em>.

We're given:

quotient of <em>a</em> and <em>b</em> is 3
⇒ $\dfrac{a}{b}=3$
sum of <em>a</em> and <em>b</em> is 8
⇒ $a+b=8$

First, isolate <em>a</em> in the first equation and substitute it in the second equation to solve for <em>b</em>:

$\dfrac{a}{b}=3\\\\a=3b$

$a+b=8\\3b+b=8\\4b=8\\b=2$

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for <em>a</em>:

$a+b=8\\a+2=8\\a=6$

Therefore, the other number is 6.

<h2>Answer</h2>

The two numbers are 2 and 6.

4 0

1 year ago