Answer: Here you go hope this helps
If a line is drawn through (twenty, seventy) and (twenty-five, sixty), then you can use the points in getting the equation.
Slope is = (60-70)/(25-20) = -2
Using the two-point slope form, y – y1 = m(x – x1)
y – 70 = -2(x – 20)
y – 70 = -2x + 40
y = -2x + 110
Step-by-step explanation:
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60

We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2
Answer:
x = -3, 
Step-by-step explanation:
The given quadratic equation is: 
This can be written as: 
To solve a quadratic equation of the form
we use the formula:

Here, a = 2; b = 3; c = - 9
Therefore, the roots of the equation are:



We get two values of 'x', viz.,
x =
and 

⇒ x = -3, 3/2
Since the factors of the quadratic equation is asked, we write it as:
(x + 3)(x -
) = 0
because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.
Multiply (x + 3) and (x -
to see that this indeed is the given quadratic equation.
An integer is a whole number, in other words, a number that isn't a fraction or decimal.
0 + 0 + -2 + -2 + 2 + -2 = -4
-4 is an integer because it is not a fraction or decimal.
Best of Luck!
Answer:
53 bagels
Step-by-step explanation:
The number of bagels, y sold is a function of the square of the time (x) plus 4.
Therefore:

Number of Hours from 12.00 am to 7:00 am =7
At x=7
The number of bagels sold,

The bagel shop sold 53 bagels from 12: 00 am to 7: 00 am.