HELP ME PLEASE!!

Which equation represents the line through (4, 5) and (0, 3)?

morpeh [17]

Answer:

I dont know what options you have but all these are possible answers

y - 5 = 1/2 ( x - 4 )

y - 3 = 1/2 x

y = 1/2 x + 3

Step-by-step explanation:

In order to find the equation you need a slope, so you find the slope of both points by using the slope equstion

y2 - y1 / x2 - x1

and you would get :

$\frac{1}{2}$

now you plug it into the point slope formula which is y - y = m ( x - x )

and you choose one of the two sets of points that they provided in the question but you'll get the same answer either way.

4 0

2 years ago

Graphing Natural Exponential Functions In Exercise, sketch the graph of the function.

strojnjashka [21]

Answer:

Step-by-step explanation:

Graph: f(x) = 1 - ex

You meant f(x) = 1 - e^x, where ^ represents exponentiation.

First, graph the parent function y = e^x. The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept. The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.

Next, reflect this graph in the x-axis, due to the - sign in f(x) = 1 - e^x. The y-intercept is (0, -1) and the horizontal asymptote is the x-axis.

Finally, translate the whole graph upward by 1 unit.

5 0

3 years ago

What is the value of (Negative 14 Superscript 0 Baseline) Superscript negative 2? Negative StartFraction 1 Over 196 EndFraction

Nookie1986 [14]

Answer:

1

Step-by-step explanation:

Assuming, we want to find the value of $((-14)^0)^{-2}$

Recall that: any non-zero number exponent zero is 1.

Using this property, we simplify our expression to $(1)^{-2}$ since $(-14)^0=1$

Now using the property of exponents: $a^{-n}=\frac{1}{a^n}$

This implies that: $1^{-1}=\frac{1}{1^2}=\frac{1}{1}=1$

The correct answer is 1

5 0

4 years ago

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A track star runs two races on a certain day. The probability thathe wins the first race is 0.7, the probability that he wins th

NARA [144]

Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

$A = a + (A \cap B)$

In which a is the probability that he wins the first race but not the second and $A \cap B$ is the probability that he wins both these races.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability that he wins both races is 0.5.

This means that $A \cap B = 0.5$

The probability that he wins the second race is 0.6

This means that $B = 0.6$

$B = b + (A \cap B)$

$0.6 = b + 0.5$

$b = 0.1$

The probability that he wins the first race is 0.7.

This means that $A = 0.6$

$A = a + (A \cap B)$

$0.7 = a + 0.5$

$a = 0.2$

A) he wins at least one race.

This is

$P = a + b + (A \cap B) = 0.2 + 0.1 + 0.5 = 0.8$

There is an 80% probability that he wins at least one race.

B) he wins exactly one race.

This is

$P = a + b = 0.2 + 0.1 = 0.3$

There is a 30% probability that he wins exactly one race.

C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

6 0

3 years ago

Evi’s watch is water resistant up to -15 feet. Mateo’s watch is water resistant up to 8 times the depth of Evi’s watch. Mateo’s

frez [133]

Answer:-120

Step-by-step explanation:

-15 x 8

6 0

4 years ago

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