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aksik [14]
3 years ago
8

What is the average rate of change for ƒ(x) = 2x + 2 over the interval −1 ≤ x ≤ 1?

Mathematics
1 answer:
Murljashka [212]3 years ago
4 0

Answer:

2

Step-by-step explanation:

m slope = (y2 - y1) / (x2 - x1)

              = [2( 1 ) + 2] - [2( -1 ) +2]  /  [1 - (-1)]

              = 4 / 2

              = 2

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What is the factored form of x^2 +8x+15
lys-0071 [83]

Answer:

(x+3)(x+5)

Step-by-step explanation:

what two numbers will multiply to 15 and add up to 8?

3 and 5

so

(x+3)(x+5)

6 0
3 years ago
Write a rule to describe the function shown.<br><br> x y<br> −6 −4<br> −3 −2<br> 0 0<br> 3 2
Vedmedyk [2.9K]

Answer:

y= 2/3 x

Step-by-step explanation:

First plot the points on a Cartesian plan

You will notice a straight line passing through the origin (0,0)

Find the gradient of the line;

m=change in y/change in x

m=2-0/3-0 =2/3

Find the equation of the line

y-2/x-3 =2/3

3(y-2) = 2(x-3)

3y-6= 2x-6

3y=2x-6+6

3y=2x

y=2/3 x + 0

5 0
3 years ago
In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.
sdas [7]
Using the Law of Sines  (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.

The third angle is C is 180-53-17=110°

27/sin53=b/sin17=c/sin110

b=27sin17/sin53, c=27sin110/sin53

And the perimeter is a+b+c so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units  (to nearest hundredth of a unit)
6 0
3 years ago
The square of a positive number is 24 more than 5 times a number. What is the value of the number?
Mars2501 [29]
X² = 24+5y

y=5 and x=7

8 0
3 years ago
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = 8x7 – x5 + x3+6
valentina_108 [34]
According to the Fundamental Theorem of Algebra, the number of roots of a polynomial is equal to the degree of the polynomial. The degree of the polynomial is the highest exponent of a term in the polynomial.
Looking at the function, the term with the highest exponent is 8x7. The exponent is 7; therefore, the function has 7 roots.
7 0
3 years ago
Read 2 more answers
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