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Allushta [10]
3 years ago
10

Identify the zeros of (3x−2)(x+4)

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

(3x−2)(x+4)=0

factor left side

3x^2+12x-2x-8=0

3x^2+10x-8=0

+8 both sides

3x^2+10x=8

-10x both sides

3x^2=8-10x

/3 both sides

x^2=(8-10x)/3

/x both sides

x=(8-10)/3= -2/3

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The functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first
sertanlavr [38]

Answer:

13/9

y =-22x+32

Step-by-step explanation:

Given that the functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first derivatives at selected values of x.

x f(x) f'(x) g(x) g'(x)

1 4 -3 5 2

2 -3 -1 4 6

3 π 8 -1 4

4 -5 unknown 0 3

a) h(x) = \frac{f(x)}{g(x)} \\h'(x) = \frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}

(using quotient rule)

Substitute 1 for x

h'(1) = \frac{g(1)f'(1)-f(1)g'(1)}{(g(1))^2}\\=\frac{9-(-4)}{9} \\=\frac{13}{9}

b) r(x) = f(x) g(x)\\r'(x) = f(x) g'(x)+g(x)f'(x)

when x =2, r(x) = r(2) = f(2) g(2) = -12

point of contact is (2,-12)

Slope of tangent =r'(2) = f(2) g'(2)+g(2)f'(2)\\=-18+(-4) \\=-22

Using point slope form, tangent is

y+12 = -22(x-2)\\y = -22x +32

7 0
4 years ago
Help me plsss giving out 16 points
Musya8 [376]

Answer:

c

Step-by-step explanation:

they are reflecting

5 0
3 years ago
Sally needs 5 people to come to her party but only four people make it how many people are on her party
Sav [38]
Well, Sally counts as 1 person, and if 4 others come, 4 + 1 is 5. So 5 people come to her party. I hope this helps you!
3 0
3 years ago
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Which of the following fractions is the lowest term of 8/16?​
madreJ [45]
1/2 is 8/16 in lowest term
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3 years ago
Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill 30
elixir [45]

Answer:

a.

x + y = 60

x = y + 30

b.

substitution:

(y + 30) = y = 60

2y + 30 = 60

2y = 30

y = 15

15 minutes for freehand

c.

No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.

8 0
3 years ago
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