Answer:
If we are solving x + 5< 6 the inequality is x< 1
Step-by-step explanation:
If helps mark as brainllest please!!!
Only one line can pass through 2 points.
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
35.
5/9= 0.555555556
0.55555556*63=35
2/3= 0.6666666667
0.666666667*63= 42
63-35=28
42-28=14
She has 35 unplanted flowers and must plant 14 more in order to have filled 2/3 of her flower bed.
Answer:
t = 9
Step-by-step explanation:
<em>-t = 9(t - 10)</em>
First, distribute the 9.
<em>-t = 9t - 90</em>
Next, add subtract 9t from both sides.
<em>(-t) - 9t = (9t - 90) - 9t</em>
<em>-10t = -90</em>
Divide both sides by -10. When you divide a negative by another negative, they cancel each other out.
<em>(-10t)/-10 = (-90)/(-10)</em>
<em>t = 9</em>
