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worty [1.4K]
2 years ago
14

What is the sum of the polynomials (-x^2+9)+(3x^2-11x+4)

Mathematics
2 answers:
Anarel [89]2 years ago
7 0
<h2>Hello!</h2>

The answer is:

(-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13

<h2>Why?</h2>

To solve the problem, we must remember how to add/subtract like terms. The like terms are the terms that share the same variable and the same exponent.

For example:

2x+3x+x^{2}=x^{2}+(2x+3x)=x^{2}+5x

We were able to add only the linear terms (terms that contains the variable x") because they were like terms: they share the same variable and the same exponent.

We need to perform the following operation between polynomials:

(-x^{2}+9)+(3x^2-11x+4)

So, calculating we have:

(-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13

Have a nice day!

Otrada [13]2 years ago
6 0
You add up all of the numbers with same coefficients. so that would be ( 2x^2-11x+13) bc -x^2 + 3x^2 is 2x^2, -11x stays the same because there is no other x, and 9+4 is 13 :)
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Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures
madam [21]

Answer:

(7, 64.33)

Step-by-step explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.

(a)Let x=7

Then:  y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.

7 0
2 years ago
Mrs. Dalton needs 1/2 cup mixed nuts for her granola recipe. She only has 1/4 cup measuring cup. Write the amount of mixed nuts
Yuliya22 [10]
Fill up the 1/4 cup measuring cup twice because 2 times 1/4 equals 1/2.
3 0
2 years ago
Read 2 more answers
Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amoun
Inessa [10]

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

5 0
2 years ago
If the two adjacent angles are supplementary then their outer sides are???​
Ainat [17]

Answer:

If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?

Suppose two angles ABC and CBD are x and y.

x+y = 180 deg.

The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.

Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle

Adjacent angles are when the 2 angles have a common vertex and a common arm.

if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.

Then the sum of the 2 adjacent angles is a right angle - 90°.

When 2 angles add up to 90°, they are called a pair of complementary angles.

Step-by-step explanation:

6 0
1 year ago
What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1
navik [9.2K]
Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

----------------------------------------------------------------------------

In summary, the answer is 
a1=3; an=an-1+4
which is choice B
4 0
2 years ago
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