Answer:
y=−x^2−2x+1
Step-by-step explanation:
Answer:
311.6 cm
Step-by-step explanation:
To solve this problem, let's call:
k = Keith's height
n = nephew's height
Since the ratio is 15:7, we have
(1)
Then, Keith's height is increased by 16%, so the new height of Keith is
(2)
While the nephew's height is doubled:
(3)
We also know that Keith is now 34 cm taller than his nephew, so
(4)
Substituting (2) and (3) into (4), we get
![1.16k=2n+34](https://tex.z-dn.net/?f=1.16k%3D2n%2B34)
And substituting (1),
![1.16\cdot \frac{15}{7}n=2n+34](https://tex.z-dn.net/?f=1.16%5Ccdot%20%5Cfrac%7B15%7D%7B7%7Dn%3D2n%2B34)
Solving for n,
![2.49n=2n+34\\\\0.49n=34\\n=\frac{34}{0.49}=69.4](https://tex.z-dn.net/?f=2.49n%3D2n%2B34%5C%5C%5C%5C0.49n%3D34%5C%5Cn%3D%5Cfrac%7B34%7D%7B0.49%7D%3D69.4)
So the current height of the nephew is:
![n'=2n=2(69.4)=138.8 cm](https://tex.z-dn.net/?f=n%27%3D2n%3D2%2869.4%29%3D138.8%20cm)
While Keith's current height is
![k'=138.8+34=172.8 cm](https://tex.z-dn.net/?f=k%27%3D138.8%2B34%3D172.8%20cm)
So their total current height is
![k'+n'=172.8+138.8=311.6 cm](https://tex.z-dn.net/?f=k%27%2Bn%27%3D172.8%2B138.8%3D311.6%20cm)
If you would like to order the following numbers from least to greatest, you can do this using the following steps:
<span>0.4, 5/8, 38%
</span><span>5/8 = 0.625
38% = 38/100 = 0.38
</span>38% < 0.4 < 5/8
The correct result would be <span>38% < 0.4 < 5/8</span>.
Answer:
x = 2 and y = 5
Step-by-step explanation:
Given equations are :
y-x = 3 ......(1)
xy = 10 or
x = (10/y) ....(2)
Put the value of x in equation (1).
![y-\dfrac{10}{y}= 3\\\\y^2-10=3y\\\\y^2-3y-10=0\\\\y=0\ and\ y=5](https://tex.z-dn.net/?f=y-%5Cdfrac%7B10%7D%7By%7D%3D%203%5C%5C%5C%5Cy%5E2-10%3D3y%5C%5C%5C%5Cy%5E2-3y-10%3D0%5C%5C%5C%5Cy%3D0%5C%20and%5C%20y%3D5)
Put the value of y in equation (2).
![x=\dfrac{10}{5}\\\\x=2](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B10%7D%7B5%7D%5C%5C%5C%5Cx%3D2)
So, the value of x is equal to 2 and that of y is equal to 5.
1. subtract over the x on the right side of the inequality so you get 4x<16 divide 4 over to get x alone the inequality turns into x<4.
2. subtract over the x on the right side so you get 11x<22 divide over 11 to get x<2
3. Add over 10 to get -8x>7x+30 subtract over 7x to get -15x>30 divide by -15 to get x<-2 make sure to flip over the sign since you're dividing by a negative
4. Add over the 4 to get 13x<12x+3 subtract over 12 and get x<3
5. I can't solve five since their is no inequality sign, the answers show it both ways so i need a starting one to go off on but it is either A or B just flip over the original sign and that will be the answer .
6. Distribute the 7 to get 7x-14<-5 add over the 14 and get 7x<9 divide over the 7 and get x<9/7