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rjkz [21]
3 years ago
12

What is the y-intercept of the graph of the equation 6x-5y=-15

Mathematics
1 answer:
guapka [62]3 years ago
7 0

Answer:

y-intercept = 3

Step-by-step explanation:

The given equation is :

6x-5y=-15

We can rewrite it ib slope-intercept form as follows :

Dividing both sides by 5

\dfrac{6x}{5}-y=\dfrac{-15}{5}\\\\\dfrac{6x}{5}-y=-3\\\\\dfrac{6x}{5}+3=y .....(1)

The general equation of slope-intercept form is:

y = mx +c  ....(2)

On comparing equation (1) and (2) we get :

m = 6/5

c = 3

Hence, the y intercept of the graph of the equation is 3.

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Mike is making a mixture for an upcoming camp trip. He makes the mixture by combining 1/3 of a cup of cashews and 1/4 cups of al
kozerog [31]

Answer:

16 cups of cashews

12 cups of almonds

Step-by-step explanation:

Let's say x is the cups of cashews and y is the cups of almonds.

We can write two equations:

x / y = (1/3) / (1/4) = 4/3

x + y = 28

Solve the system of equations using substitution.

x = 4/3 y

4/3 y + y = 28

7/3 y = 28

y = 12

x = 16

7 0
2 years ago
Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
3 years ago
18 Ib= oz plz help me mann
Nataliya [291]
There are 288 ounces in 18 lbs
6 0
3 years ago
Read 2 more answers
F(x) = 7x + 9, g(x) = 4x - 1;<br> Find (fºg)(x).
Oxana [17]

Answer: (fºg)(x) = 28x + 2

(Step-by-step explanation:

8 0
3 years ago
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply) Question
enot [183]

Answer:

Negative × positive = negative

positive ÷ negative = negative

negative ÷ positive = negative

positive x negative = negative

Step-by-step explanation:

1. Negative × positive = negative

- × + = -

2. positive ÷ negative = negative

+ ÷ - = -

3. positive ÷ positive = positive

+ ÷ + = +

4. negative x negative = positive

- × - = +

5. negative ÷ positive = negative

- ÷ + = -

6. positive x positive = positive

+ × + = +

7. negative ÷ negative = positive

- ÷ - = +

8. positive x negative = negative

+ × - = -

Negative × positive = negative

positive ÷ negative = negative

negative ÷ positive = negative

positive x negative = negative

Note: when the signs are different, they will give negative

When the signs are the same, they will give positive

8 0
3 years ago
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