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1 year ago

HELPP PLEASE GIVE EVIDENCE

Mathematics

2 answers:

ELEN [110]1 year ago

7 0

Step-by-step explanation:

The value of k in the equation g(x) = f(x) + k comes out to be 8.

How the vertical shifting of a graph takes place?

If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.

From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units

If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).

So, g(x) = f(x) + 8........(1)

Comparing (1) and g(x) = f(x) + k, we get k=8.

Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.

Alexeev081 [22]1 year ago

5 0

See vertex has same x

Vertex of f(x)=(-3,-3)
Vertex of g(x)=(-3,5)

Put the values in equation

g(x)=f(x)+k
g(-3)=f(-3)+k
5=-3+k
k=5+3
k=8

Option D

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What is the equation of the line that is parallel to the line y = -1/3x+4

RUDIKE [14]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{1}{3}$ x + 4 ← is i slope- intercept form

with slope m = - $\frac{1}{3}$

Parallel lines have equal slopes, thus

y = - $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 2 + c ⇒ c = 5 + 2 = 7

y = - $\frac{1}{3}$ x + 7 ← equation of parallel line

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2 years ago

If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No

Effectus [21]

If A and B are independent, then $P(A\cap B)=P(A)P(B)$ .

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)$

$P(A\cup B)=0.5+0.2-0.5\cdot0.2$

$\boxed{P(A\cup B)=0.6}$

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

$P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)$

$P(A^c\cap B^c)=1-0.6$

$\boxed{P(A^c\cap B^c)=0.4}$

c. DeMorgan's law can be used here too:

$P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)$

$P(A^c\cup B^c)=1-0.5\cdot0.2$

$\boxed{P(A^c\cup B^c)=0.9}$

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2 years ago

What is 2,606 + 7,025?

cestrela7 [59]

Answer:

2606 + 7025 = 9631

Pls mark me brainliest

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2 years ago

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A high school has a total of 850 students. there are 60 more female students than there are make students?

Mrac [35]

Hey. Let me help you on this one.

Let's break this problem down so it's easier for us to comprehend it.

There are 850 students in the school, and the amount of female students equals to the amount of male students + sixty additional females.

Amount of students in school = 850 students

Male students = $X$

Female students = $X+60$

Let's form an equation so we can work with what we have.

$X+(X+60)=850$

Subtract 60 from both sides.

$X+X=790$

Simplify

$2X=790$

Divide both sides by 2.

$X=395$

Answer: There are 395 male students, and 455 female students.

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bogdanovich [222]

The result is -6
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