Answer:
<h3>x = 27.5</h3>
Step-by-step explanation:
![(x - 3)2 = 49 \\ \frac{(x - 3)2}{2} = \frac{49}{2} \\ x - 3 = 24.5 \\ x - 3 + 3 = 24.5 + 3 \\ x = 27.5 \\](https://tex.z-dn.net/?f=%28x%20-%203%292%20%3D%2049%20%5C%5C%20%20%5Cfrac%7B%28x%20-%203%292%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B49%7D%7B2%7D%20%20%5C%5C%20x%20-%203%20%3D%2024.5%20%5C%5C%20x%20-%203%20%2B%203%20%3D%2024.5%20%2B%203%20%5C%5C%20x%20%3D%2027.5%20%5C%5C%20)
If you're factoring, your answer is
(4x - 3)(4x + 5)
You'll work it out this way:
16x^2 + 8x - 15
Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:
16x^2 + 20x - 12x - 15
From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:
4x(4x + 5) - 3(4x + 5)
Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to
(4x - 3)(4x + 5)
Answer:
-303
Step-by-step explanation:
.............
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x
Answer:
72
Step-by-step explanation: