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Over [174]
3 years ago
13

Functions f(x) and g(x) are shown below:

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0
We look for the minimum of each function.
 For f (x) = 3x2 + 12x + 16:
 We derive the function:
 f '(x) = 6x + 12
 We match zero:
 6x + 12 = 0
 We clear the value of x:
 x = -12/6
 x = -2
 We substitute the value of x in the equation:
 f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
 f (-2) = 4
 For g (x) = 2sin(x-pi):
 From the graph we observe that the minimum value of the function is:
 y = -2
 Answer:
 
A function that has the smallest minimum y-value is:
 
y = -2
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Please decrease 90 by 20%
Mashcka [7]

Answer:

Step-by-step explanation:

90 by 20%

10%=9

20%=18

90-18=62

Hope u understand

4 0
2 years ago
HURRY UP PLEASE !!
IRISSAK [1]

Answer:

<h2>The x-interecepts are 5.6 and -1.4, approximately.</h2>

Step-by-step explanation:

The given equation is

5x^{2} -21x=39

Where a=5, b=-21 and c=39, let's use the quadratic formula

x_{1,2}=\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a} =\frac{-(-21) (+-)\sqrt{(-21)^{2} -4(5)(-39)} }{2(5)}\\ x_{1,2}=\frac{21(+-)\sqrt{441+780} }{10}=\frac{21(+-35)}{10}\\x_{1}=\frac{21+35}{10}=\frac{56}{10} \approx 5.6\\  x_{2}=\frac{21-35}{10}=\frac{-14}{10} \approx -1.4

Therefore, the x-interecepts are 5.6 and -1.4, approximately.

7 0
3 years ago
Please show your work and thank you!
Makovka662 [10]

old weight - decrease = new weight


decrease = weight * percent

decrease = 72 * .125 = 9 lbs


old weight - decrease = new weight

72 - 9 = new weight

63 lbs

A healthy weight for the dog  is 63 lbs


4 0
3 years ago
Solve for u<br> 2- 5/6u is less then -3
statuscvo [17]

Answer:

2(u-5)-6u

2u-2•5

2u-10

2u-10-6u

2u-6u-10

-4u-19

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write the first three terms of the series for which tn = 2(n+3). Find the number of terms of the series required to make the sum
ira [324]

Answer:

The first three terms of the series are 8, 10 and 12. The number of terms is 12 to make the sum 228.

Step-by-step explanation:

The series is defined as

t_n=2(n+3)

Put n=1.

t_1=2(1+3)=2\times 4=8

Put n=2.

t_2=2(2+3)=2\times 5=10

Put n=3.

t_3=2(3+3)=2\times 6=12

The first three terms of the series are 8, 10 and 12.

It is an arithmetic series. The first terms is 8 and the common difference is

d=a_2-a_1=10-8=2

The sum of n terms of an arithmetic series is

S_n=\frac{n}{2}[2a+(n-1)d]

288=\frac{n}{2}[2(8)+(n-1)2]

288=\frac{2n}{2}[8+n-1]

288=n[n+7]

0=n^2+7n-288

0=n^2+19n-12n-288

0=n(n+19)-12(n+19)

0=(n+19)(n-12)

Equate each factor equal to zero.

n=-19,12

The number of terms can not be negative, therefore the value of n must be 12.

6 0
3 years ago
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