4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
Answer:
<em>The answer for the first question is: </em>
<em>12/80 =</em>
<em>12 ÷ 80 =</em>
<em>0.15 =</em>
<em>0.15 × 100/100 =</em>
<em>0.15 × 100% =</em>
<em>(0.15 × 100)% =</em>
<h2><em>
15%</em></h2>
<em>Then, the answer for the second question is: </em>
<em>75% × 52 =</em>
<em>(75 ÷ 100) × 52 =</em>
<em>(75 × 52) ÷ 100 =</em>
<em>3,900 ÷ 100 =</em>
<h2><em>
39 </em></h2>
* Hopefully this helps:) Mark me the brainliest:)!!!
Answer:
to find how many sales Ross made in a day divide 27 by 3 and to find Mona's divide 49 by 7 since there is 7 days in a week
Step-by-step explanation:
27/3 = 9 so Ross made 9 sales in a day
49/7 = 7 so Mona made 7 sales in a day
9>7
therefore Ross made more sales
Answer:
![\sin e\text{ S = }\frac{3}{5}](https://tex.z-dn.net/?f=%5Csin%20e%5Ctext%7B%20S%20%3D%20%7D%5Cfrac%7B3%7D%7B5%7D)
Explanation:
Here, we want to get the value of sine S
The sine of an angle is the ratio of the opposite side to the hypotenuse side
The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10
The opposite is the side that faces the angle which is 6
We have the sine as:
Answer:
C.
Step-by-step explanation:
You are given 3x-4y<16 and we want to see which of the ordered pairs is a solution.
These ordered pairs are assumed to be in the form (x,y).
A. (0,-4)
?
3x-4y<16 with (x=0,y=-4)
3(0)-4(-4)<16
0+16<16
16<16 is not true so (0,-4) is not a solution of the given inequality.
B. (4,-1)?
3x-4y<16 with (x=4,y=-1)
3(4)-4(-1)<16
12+4<16
16<16 is not true so (4,-1) is not a solution of the given inequality.
C. (-3,-3)?
3x-4y<16 with (x=-3,y=-3)
3(-3)-4(-3)<16
-9+12<16
3<16 is true so (-3,-3) is a solution to the given inequality.
D. (2,-3)?
3x-4y<16 with (x=2,y=-3)
3(2)-4(-3)<16
6+12<16
18<16 is false so (2,-3) is not a solution to the given inequality.