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2 years ago

Write an equation in slope-intercept form for the graph shown.

Mathematics

2 answers:

worty [1.4K]2 years ago

7 0

Answer:

The equation of the graph in slope-intercept form is y = 3x + 7. 2. slope-intercept form is y = x + 2.

pantera1 [17]2 years ago

6 0

Answer:

y = -x

Step-by-step explanation:

It is a negative slope, the rise is -1 and the run is 1 . The line crosses the y-axis at 1.

<em>I hope it helps! Have a great day!!</em>

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Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se

kogti [31]

Answer:

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1 -1296/x²

0 = 1 -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

4 0

3 years ago

Help please i dont get it

ale4655 [162]

Answer:

Step-by-step explanation:

The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.

The rules of logarithms that apply are ...

$\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\$

<h3>take antilogs</h3>

We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.

$\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}$

<h3>solve the quadratic</h3>

Adding (6/2)² = 9 to both sides will "complete the square."

16 +9 = x² +6x +9 . . . . . . . add 9

25 = (x +3)²

±√25 = x +3 = ±5 . . . . . take the square root(s)

x = -3 ±5 = {-8, +2}

The two potential solutions are x = 2 and x = -8.

8 0

2 years ago

Read 2 more answers

M(5, 7) is the mid-point of the l.ine segment joining A (3,4) to B. Find the coordinates of B.

Nina [5.8K]

Answer:

B(7,10)

Step-by-step explanation:

$M(5,7)=(x ,y)\\A(3,4)=(x_1,y_1)\\B(x_2,y_2)\\\\Endpoint ;\\x = \frac{x_1+x_2}{2}\\ \\5 = \frac{3+x_2}{2}\\ Cross\:Multiply\\5\times 2 =3+x_2\\10=3+x_2\\10-3 =x_2\\7=x_2\\\\\\y = \frac{y_1+y_2}{2} \\\\7 = \frac{4+y_2}{2}\\ Cross\:Multiply\\7\times 2 =4+y_2\\14 =4+y_2\\14-4 =y_2\\10 =y_2\\\\\\B(7,10)$

5 0

3 years ago

What is the mode(s) of this data?

Neko [114]

Answer:

58,65

Step-by-step explanation:

Mode= the most common number

7 0

3 years ago

Which trigonometric function best describes the graph below?

yanalaym [24]

The function is the Sine Curve

y = sine (x)

8 0

3 years ago