Given the next quadratic function:
to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:
where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:
The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:
The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:
Answer:
y = 6x - 2
Step-by-step explanation:
slope intercept form is y = mx + b
m = slope
b = y-intercept
They give us the slope (m) which is 6 and the y-intercept (b) which is -2. PLug it into the equation
y = mx + b
y = 6x - 2
The correct answer is C. Let’s break this down with the distributive property.
5(6x+6)
30x+30
5(9-x)
45-5x
Now add and subtract like terms.
30x-5x=25x
30+45=75
Put the remaining numbers together.
25x+75 and there you go.
<span>70 thousand is written in short word form, because its written as a combination of numbers and letters.
Standard form would be to write the number easily using multiplication with 10. That woul be:
70000=7*10^4. It;s 10^4 because the decimal point has been 4 laces to the left to get the number to be 7.
Word form can be obtain by writing the number using letters. Long word form is: seventy thousand. But because sevety is written with number (70), this is short word form of the number,</span>
Answer:
x = 9
Step-by-step explanation:
solve using cross multiplication
63(x) = 45(12.6)
63x = 567
x = 9
