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Fiesta28 [93]
4 years ago
14

if y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8? a. 1/9 b. 2/3 c. 54 d. 96

Mathematics
2 answers:
Lapatulllka [165]4 years ago
8 0
The value of y when x is 8 is b. 2/3
Ivahew [28]4 years ago
3 0

Answer:

The correct option is b.

Step-by-step explanation:

It is given that y varies directly as x.

y\propto x

y=kx

It is given that y is 6 when x is 72.

6=k\times 72

Divide both sides by 72.

\frac{1}{12}=k

The constant of proportionality is \frac{1}{12}.

k=\frac{y}{x}

\frac{1}{12}=\frac{y}{8}

\frac{1}{12}\times 8=y

\frac{2}{3}=y

The value of y is \frac{2}{3}. The correct option is b.

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Kyree needs to fill up his truck with gasoline to drive to and from school. Gas costs $2.79 per gallon, and his truck holds a ma
Lunna [17]

Let x represent the cost per gallon of gasoline.

Let y or f(x) represent the cost of x gallons of gasoline.

Given that the cost per gallon is $2.79,

The function would be

f(x) = 2.79x

The domain refers to all possible values of x that can fit into the function. Given that the truck holds a maximum of 28 gallons, the maximum value of x is 28. When the truck is empty, the minimum value of x is 0. Therefore, the domain is 0 to 28

The range refers to all possibel values of y or f(x) that can satisfy the function.

When x = 0, f(x) = 2.79 * 0 = 0

When x = 28, f(x) = 2.79 * 28 = 78.12

The range would be 0 to 78.12

Domain: 0 to 28

Range: 0 t0 78.12

4 0
1 year ago
Evaluate the expression. (16 divided by 8) plus (24 divided by 6)
just olya [345]

Answer:

6

Step-by-step explanation:

(16/8)+(24/6)

(2)+(4)

6

8 0
4 years ago
Consider the sequence given by the formula a(n + 1) = 5a(n) and a(1) = 2 for n ≥ 1.
saw5 [17]

Answer:

The formula means; a of the next arithmetic n equals to 5 multiplied by a of the preceding n knowing that a of when n=1 is 2 and n must be 1 or greater than 1.

Step-by-step explanation:

a(n + 1) = 5* a(n)  for n≥1

given that

a(1) = 2

therefore:

when n = 1, a(2) = 5* a(1) = 5 * 2 = 10

when n = 2, a(3) = 5*a(2) = 5 * 10 = 50

.

.

.

The formula means; a of the next arithmetic n equals to 5 multiplied by a of the preceding n knowing that a of when n=1 is 2 and n must be 1 or greater than 1.

3 0
3 years ago
Does anyone understand what to do here?
My name is Ann [436]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

There are several possible ways to describe the "type" of a polynomial. Here, since there is a separate column for "degree", we assume that "type" refers to the number of terms.

Polynomials with 1, 2, or 3 terms are called, respectively, <em>monomial</em>, <em>binomial</em>, and <em>trinomial</em>. The first two expressions listed have 1 term only, so are monomials. The last expression has 3 terms, so is a trinomial.

__

The coefficients are the constant multiplier of the term. Some say a "constant", such as the -8 in the last expression, is not considered a coefficient, because there are no variables that it is multiplying. Here, we have listed it among the coefficients in that expression.

__

The degree of a term is the sum of the degrees of the variables in the term. For terms with only one variable, it is the exponent of that variable. For terms such as the second expression, the degree is the sum of the exponents: 3+4 = 7. The degree of a polynomial with more than one term is the highest degree of all the terms.

3 0
3 years ago
BUILDING A horse farm is developing a new indoor arena in a rectangular building. They want the width of the building to be 3y f
MakcuM [25]

Answer:

3y(4y+9)=12y^2+27y......

6 0
2 years ago
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