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3 years ago

7

What is the vertex of g(x) = |x−2|+1 ?

2 answers:

Anit [1.1K]3 years ago

6 0

Answer:

(2, 1)

Step-by-step explanation:

The absolute value equation has the form f(x) = a |x-h|+k where (h, k) is the vertex.

Since this is g(x)=|x-2|+1 then the vertex is (2,1).

SashulF [63]3 years ago

5 0

Hello there,

What is the vertex of g(x) = |x−2|+1 ?

(-2, 1)

Answer: (2, 1)

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A line is drawn so that it passes through the points (-3, -1) and (4, 2).

marishachu [46]

Answer:

(A) $\boxed{\bold{y=\frac{3}{7}x+\frac{2}{7}}}$

(B) $\boxed{\bold{2 \ = \ \frac{3}{7} * \ 4 \ + \ \frac{2}{7} }}$

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope = $\bold{\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(-3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:2\right)}$

M = $\bold{\frac{2-\left(-1\right)}{4-\left(-3\right)}: \ \frac{3}{7} }$

Y intercept

$\bold{y=\frac{3}{7}x+b}$

Plug in $\bold{\left(-3,\:-1\right)\mathrm{:\:}\quad \:x=-3,\:y=-1}$

$\bold{-1=\frac{3}{7}\left(-3\right)+b}$

Isolate B

$\bold{-1=\frac{3}{7}\left(-3\right)+b}$

b = $\bold{\frac{2}{7} }$

(B) 4 = x, 2 = y

2 = 3/7 * 4 + 2/7

5 0

3 years ago

Read 2 more answers

The notation __1____ reads the probability of Event B given that Event A has occurred. If Events A and B are independent, then t

telo118 [61]

P(B|A) (option B)

Doesn't affect (option A)

P(B|A) = P(B) (option A)

Explanation:

1) Conditional probabilities could be in the form P(A|B) or P(B|A)

P(B|A) is a notation that reads the probability of event B given that event A has occurred.

P(B|A) (option B)

2) Independent events do not affect the outcome of each other

For event A and B to be independent, the probability of event A occurring doesn't affect the the probability of event B occurring

Doesn't affect (option A)

3) Events A and B are independent if the following are satisfied:

P(A|B) = P(A)

P(B|A) = P(B)

The ones that appeared in the option is P(B|A) = P(B) (option A)

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6 months ago

7x3 how much???????????????????????????????????????

elena55 [62]

7 x 3= 21 you can also use a calculator to help you

8 0

2 years ago

Read 2 more answers

Is the product 1.01 1.01 less than or greater than 1?

faust18 [17]

Answer:

greater than 1

Step-by-step explanation:

its greater because 1.01 is greater than 1

8 0

2 years ago

Ok So I an taking algebra 1 and this question is really confusing me.

V125BC [204]

You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!

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2 years ago