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ehidna [41]
3 years ago
10

12)

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

Ato find the vertex

Step-by-step explanation:

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8. Line passes through the points (-6, 6) and (2, -6)
Hoochie [10]

Slope = change in y over change in x:

Slope = (-6 6) / 2- -6) = -3/2

Equation of a line is y = Mx + b, where m is the slope and b is the y intercept.

Y = -3/2x + b

Replace y and x with one of the given points and solve for b:

6 = -3/2(-6) + b

6 = -9 + b

B = -9 + 6

B = -3

The equation of the line is y = -3/2x-3

7 0
3 years ago
A reporter announces that there is an 80% chance of a thunderstorm tomorrow, and if the thunderstorm materializes, there is a 14
Vinil7 [7]

Answer & Step-by-step explanation:

We will only get a tornado if there is already a thunderstorm materializing

0.80 * 0.14 = 0.112

Probability of a tornado = 11.2%

There is a 100 - 14 = 86% chance of a tornado not being produced.

0.80 * 0.86 = 0.688

Probability of a storm and no tornado = 68.8%

8 0
3 years ago
The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =
andrey2020 [161]

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

5 0
3 years ago
Read 2 more answers
Identify the values of P, r ,and n in the expression P(1 + r/n)^nt based on the verbal description of the Emma's situation. Then
finlep [7]

Answer:

300(1.0125)^12t

Step-by-step explanation:

P=300

R=0.15

N=12

substitute them into the equation P(1+r/n)^nt and then simplify the equation. The answer should be 300(1.0125)^12t

8 0
3 years ago
Find the value of x.
mario62 [17]

Answer:

x = 5

Step-by-step explanation:

15 - 10 = x

5 0
3 years ago
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