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Sergeu [11.5K]
3 years ago
7

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

Mathematics
2 answers:
andrey2020 [161]3 years ago
5 0

we have

f(x)=x^{2}-2x-3

Find the roots

Equate the function to zero

x^{2}-2x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}-2x=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}-2x+1=3+1

x^{2}-2x+1=4

Rewrite as perfect squares

(x-1)^{2}=4

Square root both sides

(x-1)=(+/-)2

x=1(+/-)2

x=1+2=3

x=1-2=-1

therefore

<u>the answer is</u>

x=3

Ganezh [65]3 years ago
3 0
X^2 -2x -3 = 0

(x-3)(x+1)=0

x+1=0
x=-1

x-3=0
x = 3 

so the missing number is 3
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OverLord2011 [107]
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3 0
2 years ago
(12a + 8) + (4a + 3) + (5 + a) =
PSYCHO15rus [73]

Answer:

17a + 16 =

Step-by-step explanation:

Add all a's

then all numbers w/o letters

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2 years ago
What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 3 units, and c = 6 units?
Gekata [30.6K]

Answer:

45 cubic units

Step-by-step explanation:

Vtotal = 1/2 (2.5*3) * 6 *2

where

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6 is the length

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5 0
1 year ago
Read 2 more answers
Find the coordinates of the point 7/10 of the way from A to B
OverLord2011 [107]

Answer:

  (6.8, 1.3)

Step-by-step explanation:

<u>Given</u>:

  A(-3, -5), B(11, 4)

<u>Find</u>:

  P such that AP/AB = 7/10

<u>Solution</u>:

Using the desired relation, we have ...

  (P -A)/(B -A) = 7/10

  10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

  10P = 7B +3A . . . . . . . . add 10A to both sides

  10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

  P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

7 0
2 years ago
I am confused help??
PtichkaEL [24]

Answer:

48

Step-by-step explanation:

2 x 2 x 2 x 2 = 16

16 + ?

4 x 4 x 4 = 64

0.5 x 64 = 32

32 + 16 = 48

5 0
2 years ago
Read 2 more answers
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