Answer:
Standard form: ![x^3+3x^2-x-3](https://tex.z-dn.net/?f=x%5E3%2B3x%5E2-x-3)
Leading coefficient: 1
Step-by-step explanation:
![3x^2-x-3+x^3=\\x^3+3x^2-x-3](https://tex.z-dn.net/?f=3x%5E2-x-3%2Bx%5E3%3D%5C%5Cx%5E3%2B3x%5E2-x-3)
The leading coefficient is 1 because the leading term is
.
Answer:
x = ![\sqrt{65}](https://tex.z-dn.net/?f=%5Csqrt%7B65%7D)
Step-by-step explanation:
The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)
Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)
+
= ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
16 + 49 = ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
65 = ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
x = sq rt 65
Answer:
1/40
219/250
69/16
Step-by-step explanation:
1.
0.025=(025)/(1000)=1/40
2.
0.876=876/1000=219/250
3.
4.3125=43125/10000=1725/400=69/16
4 pints= 8 cups
+
1/2 gallon= 8 cups
+
2 quarts= 8 cups
+
5 cups
=29
no, she is off by a cup