Answer:
3.5 * 6.7 = 23.45
Step-by-step explanation:
(I am assuming you know how to do 2-digit by 2-digit problem, but just in case you don't I am putting in how to do it.)
You would multiply the problem like a normal 2-digit by 2-digit problem.
- multiply the ones places (5*7=35)
- you bring the 3 of the 35 and put it above the other 3
- you then do 7*3=21+3 because you moved it.
-so the first part of the question would be 35*7=245
-you go below the 5 and put a zero because you dont need the ones place anymore.
-you then do the same thing but with the tens place instead.
- You would then get 35*6=210, but you can't forget the zero.
- you would then add 245+2100=2,345
- But don't forget the decimals. you have to add the decimals to the answer.
- you count how many numbers that are behing both numbers, in this case it would be two.
- you then put the decimal after the ones and tens place.
*SORRY IF THIS DOESN'T MAKE SENSE*
Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)
To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.
4x^2 - 7x - 15 = 0
4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7
4x^2 - 12x + 5x - 15 = 0
4x(x - 3) + 5(x - 3) = 0
(4x + 5)(x - 3) = 0
4x + 5 = 0
x = -5/4
x - 3 = 0
x = 3
Part B: minimum, (7/8, -289/16)
The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.
To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.
b = -7
a = 4
x = -(-7) / 2(4) = 7/8
Now that we know the x-value, we can plug it into the function and solve for the y-value.
y = 4(7/8)^2 - 7(7/8) - 15
y = 4(49/64) - 49/8 - 15
y = 196/64 - 392/64 - 960/64
y = -1156/64 = -289/16 = -18 1/16
Part C:
First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.
Hope this helps!
Division because if you divide the two functions together, you keep the 3 in the x term. If you add the two functions, your coefficient is 6. If you subtract, the x term is eliminated. If you multiply, you'll get 9x.
3 is smaller than 6 or 9 :)
Answer:
<em><u>blue</u></em><em><u> </u></em><em><u>pens</u></em><em><u>=</u></em><em><u>288</u></em>
Step-by-step explanation:
<em>blue</em><em> </em><em>pens</em><em>=</em><em>720×40%</em>
<em>blue</em><em> </em><em>pens</em><em>=</em><em>720×40/100</em>
<em>blue pens</em><u>=</u><u>288</u>
