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3 years ago

Graph the line for y + 1 equals -3/5 parentheses x subtract 4 parentheses

Mathematics

1 answer:

Stolb23 [73]3 years ago

5 0

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

Equation of a line is $y+1=-\frac{3}{5}(x-4)$

The equation of a line with a point $(x_{1},y_{1})$ and slope $m$ is given as:

$y-y_{1}=m(x-x_{1})$

On comparing the given equation with the standard form, we get

$x_{1}=4,y_{1}=-1,m=-\frac{3}{5}$

Now, we first plot the point $(4,-1)$ .

Slope is $-\frac{3}{5}$ . This means that we have to move 3 units down and 5 units right to get the slope as negative. We mark the second point there.

Now, we plot a line joining both the points. Thus, the graph is drawn.

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What is the value of the expression f(-3) + 2f(-1) - f (4)<br><br> PLEASE HELP NO LINKS

Bas_tet [7]

Answer:

Step-by-step explanation:

Find f(-3) :

f(x) = x² + 2x for x ≤ -3

That means for those values of x, less than or equal to -3, this is the function.

So, f(-3) = (-3)² + 2(-3) = 9 - 6 = 3

Now, f(-1) :

From the given data, we see it is: f(x) = 2 $(\frac{1}{3} )^{2x}$

We take this because -1 lies between -3 and 4.

Now, f(-1) = 2 $(\frac{1}{3} )^{2(-1)}$

=> $f = (-1) = 2(3)^{2} = 2 (9) = 18$

For f(4) :

Clearly, the function is: $f (x) = \frac{2x - 5}{x-7}$

$f (4) = \frac{2(4)-5}{4-7} = \frac{3}{-3} = -1$

Therefore, <u>f(-3) + f(-1) - f(4) = 3 + 18 - (-1) = 3 + 18 + 1 = 22.</u>

5 0

3 years ago

There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. I

Nina [5.8K]

Answer:

There are 28 dolls, 32 balls, 20 cars for 80 total toys

Step-by-step explanation:

dolls : balls: cars: total

7 8 5 (7+8+5)

7 8 5 20

We have a total of 80

80/20 = 4

We need to multiply each number by 4

dolls : balls: cars: total

7*4 8*4 5*4 20*4

28 32 20 80

There are 28 dolls, 32 balls, 20 cars for 80 total toys

4 0

4 years ago

Can somebody explain how to do this question

evablogger [386]

Answer:

The answer is D

Step-by-step explanation:

Remember:

Contrapositive means that if you reverse the hypothesis and the conclusion the statement will mean the same thing

7 0

3 years ago

What transformations are represented by the following coordinate graphing? (geometry)

Minchanka [31]

Answer:

(a,b) → (a,-b) : Reflection about x axis.

(a,b) → (a, b+5) : Translation of the point by 5 units up.

(a,b) → (b,-a) : Rotation by 90 degree clockwise.

Step-by-step explanation:

Given:

The transformation of points are given as:

(a,b) → (a,-b)

(a,b) → (a, b+5)

(a,b) → (b,-a)

Now, let us consider each transformation one by one.

(1) (a,b) → (a,-b)

Here, the order of the coordinates has not changed. But, the y coordinate of the point has changed. The y coordinate was 'b' and it has changed only its sign but not value. So, it is a transformation related to reflection.

In reflection, only the sign changes. Since, the 'y' coordinate sing is reversed, so, it is a reflection about x axis.

(2) (a,b) → (a, b+5)

Here, the 'y' coordinate of the point has changed. The change is from 'b' to 'b+5'. So, 5 is added to the y coordinate. As per transformation rules, if a positive number 'C' is added to the y coordinate, then the point shifts vertically up by 'C' units. Hence, there is a translation of 5 units up here.

(3) (a,b) → (b,-a)

Here, the 'x' and 'y' coordinates interchange their values and also the new y coordinate has its sign reversed. This happens in rotation.

We know that, (x, y) → (y, –x) is true when there is rotation by 90 degree clockwise.

So, the point (a,b) → (b,-a) is rotated by 90 degree clockwise.

5 0

3 years ago

Consider two events such that P(A)=3/4, P(B)=2/5 and P(AnB)=1/3. Are the events A and B independent?

posledela

If P(A) times P(B) is equal to P(A n B), then that shows the events are independent. Otherwise, they are dependent. When I write "A n B", I mean "A intersect B". The intersect symbol looks similar to the lowercase letter n.

P(A)*P(B) = (3/4)*(2/5) = (3*2)/(4*5) = 6/20 = 3/10

Since that result is not the same as P(A n B) = 1/3, this means that the events are not independent. They are dependent events. The answer is choice D

6 0

3 years ago

Graph the line for y + 1 equals -3/5 parentheses x subtract 4 parentheses​

Graph the line for y + 1 equals -3/5 parentheses x subtract 4 parentheses