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Hunter-Best [27]
3 years ago
5

3. Write the equation of a line in slope-intercept form that passes through (9, 4) and is

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0
⭐️- Remember that slope formula is y=mx+b

1. Know that the m is (-3)
2. 4=(-3)(9)+b
3. 4=(-27)+b
4. b=31
5. y=(-3x)+31
6. y=3x-31*

*whenever it is finding a perpendicular, you switch the signs; when it is finding a parallel, you leave it alone

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Alex and Bryan are giving an exam. The probability Alex gets an A is 0.9, the probability Bryan gets an A is 0.8 and the probabi
VARVARA [1.3K]

Answer:

The probability that either Alex or Bryan get an A is 0.9

Step-by-step explanation:

Before we proceed to answer, we shall be making some important notation;

Let A = event of Alex getting an A

Let B = event of Bryan getting an A

From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩ B^{c} ) = 0.1

We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)

We can use the addition theorem here;

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)  .......................(i)

Also,

P(A) = P(A ∩ B^{c} )  +   P(A ∩ B)   .........................(ii)

We can insert ii into i and we have;

P(A ∪ B) =  P(A ∩ B^{c} )  +   P(A ∩ B)  + P(B) - P(A ∩ B) =   P(A ∩ B^{c} ) + P(B) = 0.1 + 0.8 = 0.9

5 0
3 years ago
What is the inequality shown?<br> -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
vitfil [10]

Step-by-step explanation:

well it could be -10 < x < 10

or -9 ≤ x < 10

or -10 < x ≤ 9

or -9 ≤ x ≤ 9

5 0
2 years ago
QUICK
timama [110]

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

8 0
3 years ago
What is (f ° g)(2) and (g ° f)(2) with the set of points f: {(0,4), (1,2), (2,0), (3,2), (4,4)} and g: {(0,4), (1,3), (2,2), (3,
kumpel [21]

Answer:

\large\boxed{(f\circ g)(2)=0}\\\boxed{(g\circ f)(2)=4}

Step-by-step explanation:

f:\{(0,4), (1,2), \underline{(2,0)}, (3,2), (4,4)\}\\\\g:\{\underline{(0,4)}, (1,3), \underline{(2,2)}, (3,1), (4,0)\}\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\g(2)=2\qquad/from\ (2,2)/\\f\bigg(g(2)\bigg)=f(2)=0\qquad/from\ (2,0)/\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(2)=0\qquad/from\ (2,0)/\\g\bigg(f(2)\bigg)=g(0)=4\qquad/from\ (0,4)/

7 0
3 years ago
Which one is equivalent what’s the work that goes with it? i’m very confused
Elenna [48]

Answer:

0.8r

Step-by-step explanation:

r - 0.2r

= 1r - 0.2r ← factor out r from each term

= r(1 - 0.2)

= r × 0.8

= 0.8r

5 0
2 years ago
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