How to calculate x intercepts for a quadratic equation
1 answer:
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x≤-7
First , use the distributive property :
3(x-4)≥5x+2
3x-12≥5x+2
Subtract 5x on both sides :
3x-5x-12≥2
Now , add 12 on both sides :
3x-5x≥2+12
3x-5x≥14
Subtract the x's :
-2x≥14
Divide by -2 on both sides and watch what happens :
x≤-7 (notice that the inequality sign changed from "greater than or equal to" to "less than or equal to")
If we divide both sides of an inequality by a negative number , we change the inequality sign .
Let b pounds be the weight of bananas, d pounds - weight of dragon fruit and g pounds - weight of guavas Maggie bought.
1) Maggie bought a total of 30 pounds of bananas, guavas and dragon, then
b+d+g=30.
2)
- Bananas cost $1 per pound, then b pounds of bananas cost $b;
- Guavas cost $2 per pound, then g pounds of guavas cost $2g;
- Dragon fruit costs $3 per poundd pounds cost $3d.
In total Maggie spent $46, thus,
b+2g+3d=46.
3) The weight of the bananas (b pounds) that Maggie bought was twice the weight of the guavas (g pounds) and dragon fruit (d pounds) combined. So
b=2(g+d).
The system of equations is
Answer: equations 1, 2 and 5 are correct