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Margarita [4]
2 years ago
12

What is the equation of a line passing through (-3,7) and having a slip of -1/5

Mathematics
1 answer:
MrRa [10]2 years ago
3 0

Answer:

\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have the slope m = -1/5. Substitute:

y=-\dfrac{1}{5}x+b

Put the coordinates of the given point (-3, 7) to the equation:

7=-\dfrac{1}{5}(-3)+b

7=\dfrac{3}{5}+b            <em>subtract 3/5 from both sides</em>

6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}

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What is the answer to this question, 2/5×6/7?
Jobisdone [24]

Answer:

12/35

Step-by-step explanation:


Multiply both numerators and denominators.


2/5 * 6/7


=12/35

6 0
2 years ago
What is the solution for the systems of equations
AlekseyPX
x=1, y=2

Solve the following system:
{y = 5 - 3 x5 x - 4 y = -3
Substitute y = 5 - 3 x into the second equation:
{y = 5 - 3 x5 x - 4 (5 - 3 x) = -3

5 x - 4 (5 - 3 x) = (12 x - 20) + 5 x = 17 x - 20:{y = 5 - 3 x17 x - 20 = -3

In the second equation, look to solve for x:{y = 5 - 3 x17 x - 20 = -3

Add 20 to both sides:{y = 5 - 3 x17 x = 17

Divide both sides by 17:{y = 5 - 3 xx = 1

Substitute x = 1 into the first equation:{y = 2x = 1
Collect results in alphabetical order:Answer:  {x = 1                y = 2
5 0
3 years ago
Kelly needs to order lunch for the 6 people at a business meeting. Her menu choices are chicken salad for acost of $5 per person
Lady bird [3.3K]
Hello There!! (: 
I'm Here to help!
If we say Kelly orders 1 chicken salad, then it means she ordered 5 egg salads. If she ordered x chicken salads, then she'll have to order the rest, which is <span>(6−x)</span> egg salads. For first equation, let's set y to be the meal's price. It consist of the price of all chicken salads ordered and the price of all egg salads ordered: <span>y=5x+4(6−x)</span> Again, x represents number of chicken salads ordered, and y represents the meal's price. A second equation would come to limit the price to the money Kelly has: <span>y≤28
</span> Notice there are more constraints to add on the values (x cannot be negative, no such thing negative number of salads or fractional number of salads) so just keep that in mind. Now, since we know the price based on the number of chicken salads, we can say for what number of salads it matches the second restriction: <span><span><span>5x+4(6−x)≤28</span><span>5x+24−4x≤28</span><span>x≤28−24</span><span>x≤4

Does this help you?
I Sure hope so have a goodnight ! (:


</span></span></span>
6 0
3 years ago
if my grade is 69% what will my grade be if i got a 3.3 of 4 on a essay and it's worth 25% of my grade?​
juin [17]

Answer:

72.4%

Step-by-step explanation:

The essay is 25% of your grade, and the rest is 75% of your grade.

25 (3.3/4) + 75 (0.69) ≈ 72.4

6 0
3 years ago
Find the difference between the result of one sixth of product of 10 and 3 multiplied by 4 and 30
kherson [118]

Answer:

10 or -10,

Read the explanation

Step-by-step explanation:

Rewrite this problem as a numerical expression. As per the wording of this problem, there can be two expressions derived.

1.     ((\frac{1}{6}(10*3)*4)-30

2.     30-((\frac{1}{6}(10*3)*4)

Simplify, remember the order of operations. The order of operations is the sequence by which one is supposed to perform operations in a numerical expression. This order is the following:

1. Parenthesis

2. Exponents

3. Multiplication or division

4. Addition or Subtraction

Use this sequence when simplifying and solving the expression:

Expression 1

((\frac{1}{6}(10*3)*4)-30\\\\=((\frac{1}{6}(30)*4)-30\\\\=(5*4)-30\\\\=20 - 30\\\\= -10

Expression 2

30-((\frac{1}{6}(10*3)*4)\\\\=30-((\frac{1}{6}(30)*4)\\\\=30-(5*4)\\\\= 30-20\\\\= 10

6 0
3 years ago
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