Answer:
x=9
Step-by-step explanation:
x = 3^2
x = 3*3
x=9
Subtract 16 to both sides to the equation becomes -2x^2 + 7x + 5 = 0.
To solve this equation, we can make use of the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(-2)(5)) ] / ( 2(-2) )
x = [ -7 ± √(49 - (-40) ) ] / ( -4 )
x = [ -7 ± √(89) ] / ( -4)
x = [ -7 ± sqrt(89) ] / ( -4 )
x = 7/4 ± -sqrt(89)/4
The answers are 7/4 + sqrt(89)/4 and 7/4 - sqrt(89)/4.
Answer:
56
Step-by-step explanation:
We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.
2x+8+60=180
When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.
The statement that correctly compares the students’ test scores is that the median of Jen's score is greater than the median of Ron's score.
<h3>How to find mean and median?</h3>
Jen and Ron each took five tests. There test score are as follow:
- Jen: {45, 91, 84, 66, 74}
- Ron: {70, 95, 99, 69, 72}
Let's find the mean and median of the test score to compare them correctly
Jen: {45, 66, 74, 84, 91}
mean of Jen score = 45 + 66 + 74 + 84 + 91 / 5
mean of Jen score= 360 / 5
mean of Jen score = 72
Median of Jen score = 74
Ron: {69, 70, 72, 95, 99}
mean of Ron score = 69 + 70 + 72 + 95 + 99 / 5
mean of Ron score = 405 / 5
mean of Ron score = 81
median of Ron score = 72
Therefore, the median of Jen's score is greater than the median of Ron's score.
learn more on mean and median here: brainly.com/question/27388918
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the dimensions of the rectangle are 9 and 3
Step-by-step explanation:
108÷4=27 and 27 ÷3=9