We are given : Cost of a gallon of milk = $2.50.
Cost of a cup of yogurt = $1.20.
Total money Monica has = $20.
Number of cups of yogurt Monica can buy = x.
And inequality made is also correct
1.20x + 2.5 ≤ 20.
Now, we need to solve it for x.
Subtracting 2.5 from both sides, we get
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Dividing both sides by 1.20, we get
1.20x/1.20 ≤ 17.5/1.20.
x ≤ 14.5833...
Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.
Step-by-step explanation:
a) 1.16× 10^-6
standard form should be less than 10. therefore, count decimal places from where the decimal point is located to the right until you reach a number less than 10 ....count the number of shifts in the above is 6 shifts to the right. when moving to the right, power will be negative.(-6)
1.157/1.16 ×10^-6
b) 6.79 × 10^10
67890000000....count till a number less than 10.there will be 10 shifts to the left. the 10 will be your power,(positive) since u r moving to the left exponent is positive
6.789/6.79 × 10^10
The last answer: 2 or 0
Explanation:
When you graph this function, it crosses the x-axis once. In other words, that means there is only 1 real zero and 2 imaginary complex zeros. In addition, imaginary solutions always come in pairs, so there can’t be a odd number of them such as 3.
Answer:
![x=-\frac{7}{6}\\x=\frac{1}{6}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B7%7D%7B6%7D%5C%5Cx%3D%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
The equation to solve is:
![(x+\frac{1}{2})^2=\frac{4}{9}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2%3D%5Cfrac%7B4%7D%7B9%7D)
To get rid of the "square", we need to take square root of both sides:
![\sqrt{(x+\frac{1}{2})^2}=\sqrt{\frac{4}{9}}\\x+\frac{1}{2}=\frac{\sqrt{4}}{\sqrt{9}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2%7D%3D%5Csqrt%7B%5Cfrac%7B4%7D%7B9%7D%7D%5C%5Cx%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D)
Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:
![x+\frac{1}{2}=+-\frac{\sqrt{4}}{\sqrt{9}}\\x+\frac{1}{2}=+-\frac{2}{3}\\x=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}\\x=-\frac{2}{3}-\frac{1}{2}=-\frac{7}{6}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B1%7D%7B2%7D%3D%2B-%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D%5C%5Cx%2B%5Cfrac%7B1%7D%7B2%7D%3D%2B-%5Cfrac%7B2%7D%7B3%7D%5C%5Cx%3D%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B6%7D%5C%5Cx%3D-%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D-%5Cfrac%7B7%7D%7B6%7D)
So these are 2 answers for x.