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velikii [3]
3 years ago
12

Parallel to y=2x+1 Goes through (5,4)

Mathematics
1 answer:
Ket [755]3 years ago
6 0
      y = mx + b
      y = 2x + 1
y - y₁ = m(x - x₁)
y - 4 = 2(x - 5)
y - 4 = 2(x) - 2(5)
y - 4 = 2x - 10
  + 4          + 4
     y = 2x - 6
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write the equation of the line that passes through the points (-4,4) and (6,9) and figure out what y=mx+b for this equation woul
jeka57 [31]
Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:

9 - 4 / 6 - (-4)

Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:

4 = (1/2)(-4) + b

Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
6 0
3 years ago
If y=2x-3 find the value of y when x=2
Evgesh-ka [11]
Y = 2x - 3
Y = 2(2) - 3
Y = 4 - 3
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The y value or y coordinate is 1.
8 0
3 years ago
Read 2 more answers
Suppose that a​ person's peak blood alcohol level is 0.07 ​(grams per 100​ mL) and that this level decreases by 40​% each hour.
Natalija [7]

Answer:

Step-by-step explanation:

Considering a person peak blood is 0.07

It decrease by 4% every hour

a) Using exponential function

f(x) = Ca^x

where,

a = 1 + r

r = -0.40%

Here,

C = 0.07,

a = 1 - 0.04 = 0.06

f(x)=0.07(0.6)^x

<h3>Therefore, hourly decay factor is 0.6</h3>

b)

Here the hourly decay factor is 0.6

B(x)=ca^x\\\\0.07(0.6)^x

c) Evaluate

B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g

0.0252g or 100mL

<h3>Thus, after 2 hours the blood is 0.0252g or 100mL</h3>
3 0
2 years ago
Read 2 more answers
Solve for x^2-2x+1=0
seraphim [82]

Answer:

x=1

Step-by-step explanation:

x^2-2x+1=0\\

We will start by using the quadratic formula.

\frac{-(-2)+-\sqrt{(-2)^2-4(1)(1)}}{2(1)}

We will simplify that and get:

\frac{-(-2)}{2(1)}

So our answers would be:

x=1

7 0
2 years ago
Teresa counted the number of tomatoes in 9 baskets at a vegetable stand. The list shows the data. 11, 12, 8, 12, 8, 8, 11, 11, 9
barxatty [35]
Mean is 4
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2 years ago
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