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n200080 [17]
3 years ago
12

A portrait without its frame has a height 2.5 times its width w, in inches. Its frame is 2 inches wide all along the perimeter.

What is an expression for the area of the framed portrait in terms of w? (Simplify your expression and write in standard form)
Mathematics
1 answer:
mart [117]3 years ago
5 0

Answer:

50

Step-by-step explanation:

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A rectangular park is 56 mi wide and 157 mi long. What is the area of the park as a mixed number simplest form? Enter your answe
zimovet [89]
A(area) = b(base) * h(height)

A = 56 * 157

A = 8,792 mi^2
4 0
3 years ago
Read 2 more answers
What is the solution of log4(2x-6)=2
Flauer [41]

Answer: x=11

Step-by-step explanation:

Remembert that, by definition:

log_b(x)=y → b^y=x

Then, you can rewrite log_4(2x-6)=2 in exponential form:

4^2=2x-6

Now you can solve for the variable "x":

Add 6 to both sides of the equation:

4^2+6=2x-6+6

22=2x

And finally you must divide both sides of the equation by 2, then:

\frac{22}{2}=\frac{2x}{2}\\\\x=11

3 0
3 years ago
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit
Nezavi [6.7K]

Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:

m = (5 - 1)/(5 - 0) = 4/5 = 0.8.

Hence the equation that gives the approximate height after x weeks is:

y = 0.8x + 1.

After 8 weeks, the expected height is:

y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0
2 years ago
Use the rational root theorem to list all possible rational roots for the equation.
Alik [6]

Answer:

The possible rational roots are

\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are 1, 2, 3,6

The factors of leading coefficient are  1,3,

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}


5 0
3 years ago
Read 2 more answers
The base of a triangle is 75 cm and its height is 12<br> 12 cm. Find its area.
lisabon 2012 [21]

Answer:

Here is your answer

Step-by-step explanation:

Solution,

here,

Base is 75 cm

Height is 12 cm

Now,

Area of triangle=1/2×b×h

=1/2×75×12

= 900/2

=450. ans

3 0
3 years ago
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