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Ilia_Sergeevich [38]
3 years ago
13

Simplify the expression -3(x+3)

Mathematics
1 answer:
amm18123 years ago
6 0

Answer:

−3 − 9

Step-by-step explanation:

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Which ordered pairs are in the solution set of the system of linear inequalities?
Marianna [84]

Answer:

thanks

Step-by-step explanation:

4 0
3 years ago
Find the circumference of a a cirele with a di<br>of 56 yards.
saw5 [17]
2πr= c

So π=3.14

56÷2= 28

2 x 3.14 x 28=c

87.12 x 2 = 174.24

The circumference is 174.24
6 0
3 years ago
(1 point) Consider the function f(x)=2x3−9x2−60x+1 on the interval [−4,9]. Find the average or mean slope of the function on thi
OlgaM077 [116]

Answer: c = 4.97 and c = -1.97

Step-by-step explanation: <u>Mean Value Theorem</u> states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

f'(c) = \frac{f(b)-f(a)}{b-a}

So, for the function f(x) = 2x^{3}-9x^{2}-60x+1 on interval [-4,9]

f'(x) = 6x^{2}-18x-60

f(-4) = 2.(-4)^{3}-9.(-4)^{2}-60.(-4)+1

f(-4) = 113

f(9) = 2.(9)^{3}-9.(9)^{2}-60.(9)+1

f(9) = 100

Calculating average:

6c^{2}-18c-60 = \frac{100-113}{9-(-4)}

6c^{2}-18c-60 = -1

6c^{2}-18c-59 = 0

Resolving through Bhaskara:

c = \frac{18+\sqrt{1740} }{12}

c = \frac{18+41.71 }{12} = 4.97

c = \frac{18-41.71 }{12} = -1.97

<u>Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97</u>

7 0
4 years ago
Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles t
neonofarm [45]

Answer:

alternate interior angles theorem

Step-by-step explanation:

The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.

Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:

∠ 4 ≅ ∠6, ∠1 ≅ ∠7

5 0
3 years ago
Read 2 more answers
HELPPPPP !!!! Answer please and thank you
LenaWriter [7]
(a+10)+44=2a
a+54=2a
-a.      -a
54=a

8 0
3 years ago
Read 2 more answers
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