What does the line 2x+5y=5 look like

kipiarov [429]

Answer:

y = -(2/3)x + 3

C

Step-by-step explanation:

The slope of the equation that was given is - 2/3

The slope in a slope intercept equation is the number in front of the x when the value of the number in front of the y = 1 and x and y are on opposite sides of the equal sign. Let's translate that.

The original equation is y = -(2/3)x + 5/3

y and x have to be on opposite sides of the equal sign [They are]
The slope is the number in front of the x. That's (-2/3). That makes A incorrect.

Now you need to use the given point

The point is (-3 , 5) Put this into the equation that you have so far

y = (-2/3)x + b

y = 5

x = -3

5 = (-2/3)(-3/1) + b Substitute in the givens

5 = (-2 * -3)/3 + b Multiply -2 * - 3 = 6

5 = 6/3 + b Divide the 6 by 3

5 = 2 + b Divide

5 - 2 = b Subtract 2 from both sides

3 = b Switch sides

b = 3

Answer y = (-2/3)x + 3 or C

8 0

3 years ago

Pls help asap!!!! tysm guys!!

Delvig [45]

Answer:

C. 256 in2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

You received a $178 per month raise. That was a 5% increase. What was your monthly salary before the increase? Show work please

zzz [600]

Answer: 169.52

Step-by-step explanation

%increase which is 5% =100 x final - initial

---------------------

initial

the initial is $169.52

and the final $178

3 0

3 years ago

Which awnser is an equation in point-slope form for the given point and slope?

ExtremeBDS [4]

The correct answer is B) y + 9 = 2(x - 1)

In order to find this, simply take the point and the slope and plug into the base form of point-slope form.

y - y1 = m(x - x1)

Use the slope for m and the point for (x1, y1)

y + 9 = 2(x - 1)

3 0

3 years ago

A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a black card and let F be the eve

tester [92]

Answer:

The indicated probability of $P(D \cup F')=\frac{25}{26}$

Step-by-step explanation:

Probability of an event E to be;

P(E) = $\frac{Number of events within E}{Total number of possible outcomes}$

As per the given condition:

Total number of possible outcomes = 52 cards.

Let the event be D and F as follows;

D : Drawn card is a black card

F : Drawn card is a 10 card.

Then,

From the given condition:

P(D) = $\frac{26}{52}$ [Out of 52 cards, 26 were black] ,

P(F) = $\frac{4}{52}$ [Out of 52 cards, there are four 10 cards]

For any two events A and B we always have;

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

Now, we have to find the indicated probability:

$P(D \cup F')=P(D)+P(F')-P(D \cap F')$ ......[1]

First find the P(F');

P(F') =1-P(F) = $1-\frac{4}{52} =\frac{52-4}{52} =\frac{48}{52}$

Also, to find $P(D \cap F')$ .

We use the formula :

For any event A and B independent variable.

$P(A \cap B) =P(A) \cdot P(B)$

then;

$P(D \cap F') =P(D) \cdot P(F') = \frac{26}{52} \cdot \frac{48}{52} =\frac{24}{52}$

Now, substitute these in [1];

$P(D \cup F')=\frac{26}{52} +\frac{48}{52} -\frac{24}{52}$ = $\frac{26+48-24}{52} =\frac{50}{52} = \frac{25}{26}$

Therefore, the probability of $P(D \cup F')=\frac{25}{26}$

3 0

3 years ago