Answer:
6x2 + 150 = 0
12x + 150 = 0
12x + 150 = 0
-150 -150
12x = -150
12x ÷ 12 = -150 ÷ 12
x= -25/2
Step-by-step explanation:
Answer:
<5 = 132°
<7 = 132°
<8 = 48°
Step-by-step explanation:
aAgle 2 and angle 5 are supplementary which means their sum is 180° so angle 5 is 180 - 48 = 32°
Angle 5 and angle 7 are congruent so their measures are equal 132°
Angle 8 and angle 2 are congruent and equal to each other as well
Answer: y=-1x+5
Step-by-step explanation:
1. Use slope-intercept formula (y = mx + b) to find the slope which is represented by the variable 'b'.
m = ∆y / ∆x
m = -1 / 1
m = -1
y= -1x + b
2. Use any cooresponding x and y values to substitute into the formula. Ex: (x,y) → (1,4)
y = mx + b
4 = -1(1) + b
4 = -1 + b
5 = b
3. Plug in the values found into the formula.
y = -1x + 5
Hello!
To solve algebraic equations, we need to first, simplify the common terms, and secondly use SADMEP. SADMEP is strictly used to solve algebraic equations, and is used like PEMDAS. SADMEP is an acronym for subtract, addition, division, multiplication, exponents, and parentheses.
25 - 4x = 15 - 3x + 1 - x (simplify the common terms)
25 - 4x = 16 - 4x (subtract 16 from both sides)
9 - 4x = -4x (add 4x to both sides)
9 = 0 → This means that there is no solutions.
Therefore, this equation has no solutions, which are contradictions because those are the equations with no solution.
Answer:
The test statistic is 
Step-by-step explanation:
We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.
At the null hypothesis, we test if the proportion is 80%, that is:
At the alternate hypothesis, we test if the proportion is more than 80%, that is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
80% is tested at the null hypothesis:
This means that 
A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.
This means that 
The test statistic is
The test statistic is
=−2
