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suter [353]
3 years ago
7

A watercolor painting is 19 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat t

hat adds 2 inches to each side of the length and the width. What is the area of the mat?
Mathematics
2 answers:
maxonik [38]3 years ago
8 0

Answer:

The answer is 273

Step-by-step explanation:

Because 19 times 11 is 209 but that's not what we're looking for we are looking for 21 times 13 which is 273.

Alexxx [7]3 years ago
3 0

Answer:

14

Step-by-step explanation:

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klemol [59]

Answer:

D

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A measurement that closely agrees with accepted values
bixtya [17]

A measurement that closely agrees with an accepted value is best described as a numerical

3 0
2 years ago
X² = 35<br> show your work
crimeas [40]

Answer:

x=±√35

Step-by-step explanation:

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x=±√35

The complete solution is the result of both the positive and negative portions of the solution.

4 0
3 years ago
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

... -a +b -c = 15 . . . . . for x=-1

... a + b + c = -5 . . . . for x=1

... 8a +4b +2c = 12 . . for x=2

adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

... a + c = -10

... 4a +c = -4

Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

... f(x) = x(2x² +5x -12)

Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above

4 0
2 years ago
by 14 1 4 each week for a number of weeks, w . He writes the expression 20(14) 20 ( 1 4 ) w to find the amount of radioactive su
erastovalidia [21]

Answer:

1/2 ^w : decay factor after w weeks

hope this helps

Step-by-step explanation:


8 0
3 years ago
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