Answer:
a. x = 2 , x = -5
b. no real roots
Step-by-step explanation:
<u>a. x² + 3x – 10</u>
= x² - 2x + 5x - 10
= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)
= (x - 2) (x + 5)
x - 2 = 0 x + 5 = 0
+ 2 +2 -5 -5
-------------- ---------------
x = 2 x = -5
x = 2 , x = -5
<u>b. 2x² - 4x + 3 </u>
This can't be solved because the equation has no real roots, and also the discriminant is negative.
Answer:229.1
Step-by-step explanation: to much work I thought to hard that’s the answer your welcome buddy
Answer:
41+28=69
Step-by-step explanation:
Add the tens values: 40 + 20 = 60
Add the ones values: 1 + 8 = 9
Combine: 60 + 9 = 69
Answer:
C
Step-by-step explanation:
Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.
3x-5y=8
-5y = -3x +8
y = 3/5 x - 8/5
The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.
Let small cups = S
Large cups = L
They bought a total of 8 cups, so S + L = 8
Rewrite as S = 8-L (1st equation)
Then you also have
$3S + $5L = $30 (2nd equation)
Replace the S in the second equation with the first equation:
$3(8-L) + $5L = $30
Simplify:
24 - 3L + 5L = 30
Combine like terms:
24+2L = 30
Subtract 24 from both sides:
2L = 6
Divide both sides by 2:
L = 3
They bought 3 large cups
Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)
Large = 3 cups, Small = 5 cups
