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nexus9112 [7]
3 years ago
12

Which function has the same y-intercept as the line graphed below?

Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:

D. y + 4 = 2x  

Step-by-step explanation:

The graph has a y-intercept at (0, -4).

A. y=16 - 3x/4

if x = 0, y = 16. FALSE.

B. 24 + 3y = 6x

If x = 0, 24 + 3y =     0

                     3y = -24

                       y =    -8. FALSE.

C. 4y + x = 16

If x = 0, 4y = 16

              y =   4. FALSE.

D. y + 4 = 2x

If x = 0, y + 4 =  0

           y       = -4. TRUE.

y = 4 + 2x has the same y-intercept as the graphed line.

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Suppose at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard. Also, 30% of the
Doss [256]

Answer:

0.6,0.7,0.3 neither disjoint nor independent.

Step-by-step explanation:

Given that at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard.

A= visa card

B = Master card

P(A) = 0.60 and P(B) = 0.40

P(AUB)' = 0.30

i.e. P(AUB) = 0.70

Or P(A)+P(B)-P(AB) =0.70

P(AB)= 0.30

Randomly select a student from the university.

1) the probability that this student does not have a MasterCard.

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2.  the probability that this student has either a Visa card or a MasterCard.

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=P(AUB)' = 0.30

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A and B have common prob 0.30 hence not disjoint.

P(AB) ≠P(A)P(B)

Hence not independent

6 0
3 years ago
The function f(x) = (x − 4)(x − 2) is shown. What is the range of the function?
leonid [27]

The range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function is:

f(x) = (x - 4)(x - 2)

The above function is a quadratic function.

The above function can be written as:

f(x) = x² - 6x + 8

From the graph,

The minimum value of graph at x = 3 is y = -1

The range of the function is [-1, ∞)

Thus, the range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.

Learn more about the function here:

brainly.com/question/5245372

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1 year ago
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3 years ago
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yan [13]
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Answer:

for question 9 is not that hard

Step-by-step explanation:

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