4x^2 + 16x-2= 5x
Minus 16x over
4x2-2= -11x
Add 11x over
4x^2 +11x -2
Use quadratic formula x= 2.9
I’m not sure here. I tried my best. Hope it helps!
If a dime equals 10¢, and 10 dimes equals 100¢ (or $1) you need to divide.
$90.10/10¢=90.1 dimes you need I think.
Hope this helps
The line plot that correctly represents the given data set is: line plot C.
<h3>What is a Line Plot?</h3>
On a line plot, the frequency of a data points is represented using "x" as many times as the data points appear in the data set.
The data point with the highest frequency is 11¼ which is also 11⅛. And they appear 4 times in the given data set.
So, the line plot that correctly shows the data is: line plot C.
Learn more about the line plot on:
brainly.com/question/27246403
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We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.
Want to make at least $100. It means, the total sales must be greater than or equal to $100.
Therefore, the inequalities in the system of linear inequalities are and .
