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2 years ago

Tell the slope and y-intercept of the graph.

Mathematics

1 answer:

Mashcka [7]2 years ago

5 0

To find the slope, you can use the formula: $\frac{rise}{run}$ . Start at where the graph intersects at the y-axis, which is -4. So, it rises up 2 units and goes left 3 units, which makes the slope $\frac{2}{3}$ .

To find the y-intercept, you would start at where the graph intersects at the y-axis, which is -4 and this would be the y-intercept.

To find the equation, you can use the formula: y = mx + b. m is slope and b is the y-intercept. Plug the slope and y-intercept you found earlier. Thus, your final answer should be: $y = \frac{2}{3}x-4$

Please reach out to me if you are still confused. Hope this helps :)

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A bag contains white marbles and red marbles, 20 in total. The number of white marbles is 5 more than 2 times the number of red

Nitella [24]

Answer:

Step-by-step explanation:

let r represent red marbles then white = 2r + 5 and total is 20, thus

r + 2r + 5 = 20 ( subtract 5 from both sides )

3r = 15 ( divide both sides by 3 )

r = 5 ← number of red marbles

Thus number of white = 20 - 5 = 15

7 0

3 years ago

Math:

Dahasolnce [82]

Answer:

a) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$ , b) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

$\sqrt{3}\cdot \csc x - 2 = 0$

$\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0$

$\sqrt{3} - 2\cdot \sin x = 0$

$\sin x = \frac{\sqrt{3}}{2}$

$x = \sin^{-1} \frac{\sqrt{3}}{2}$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

b) The equation must be simplified first:

$\cos x + 1 = - \cos x$

$2\cdot \cos x = -1$

$\cos x = -\frac{1}{2}$

$x = \cos^{-1} \left(-\frac{1}{2} \right)$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

7 0

3 years ago

The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th

damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

a = b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0

2 years ago

It's very urgent plss answer

Lesechka [4]

The solution of the equation 4p – [(2p – 3) / 2] = 6 with variable p will be 1.5.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

The equation is given below.

4p – [(2p – 3) / 2] = 6

On simplifying, we have

(8p – 2p + 3) / 2 = 6

6p + 3 = 12

6p = 9

p = 1.5

More about the solution of the equation link is given below.

brainly.com/question/545403

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8 0

1 year ago

Alex and payton each have a favorite pancake recipe. Alexs recipe uses 7 1/2 cups of flour for 5 batches, paytons recipe uses 3/

Elina [12.6K]

Answer:

9/4z cups

Step-by-step explanation:

Alex recipe uses 7 1/2 cups of flour for 5 batches

Cups of flour per batch = 7 1/2 cups ÷ 5 batches

= 15/2 ÷ 5

= 15/2 × 1/5

= (15*1)/(2*5)

= 15/10

Alex recipe per batch= 3/2 cups of flour per batch

paytons recipe uses 3/4 cup of flour more per batch than alexs recipe

Payton's recipe per batch = Alex recipe per batch + 3/4 cups

= 3/2 + 3/4

= (6+3)/4

= 9/4 cups of flour

Payton's recipe per batch = 9/4 cups of flour

What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Payton's recipe for z batches = Payton's recipe per batch * number of batches

= 9/4 cups * z batches

= 9/4z cups

Payton's recipe for z batches = 9/4z cups

3 0

2 years ago