Answer:
Step-by-step explanation:
Step 1: Subtract -2x from both sides.
x2+x−7−−2x=−2x−−2x
x2+3x−7=0
For this equation: a=1, b=3, c=-7
1x2+3x+−7=0
Step 2: Use quadratic formula with a=1, b=3, c=-7.
x= −b±√b2−4ac / 2a
x= −(3)±√(3)2−4(1)(−7) / 2(1)
x= −3±√37 / 2
x= −3/2 + 1/2 √37 or x= −3/2 + −1/2 √37
Answer:
x= −3/2 + 1/2 √37 or x= −3/2 + −1/2 √37
43 / 2 = 21.5
so 2 <span>integers </span>are 21 and 22
ANSWER
C. 2.402
EXPLANATION
Given that:
We want to evaluate:
Use the product rule of logarithms.
The third choice is correct.
Well first you have to do distributive property with the parenthesis, multiply 5 times x and 5 times 3 to get 5x and 15 now you have 14+5x+15-7x, now add common like terms(these are terms taht have the same number variable or both) so your common numbers will be 14 and 15, and 5x and -7x now add or subtract them to get -2x+29 now you have to set x by itself so set this binomial equal to 0 to get -2x+29=0 subtract the 29 from both sides and get -2x=-29 now divide 2 by both sides to get x=29/2
Hope this helps
To find the equation for the line in slope-intercept form y= mx + b, perpendicular to the line shown and passing through (6, -6):
The slope of the blue line is the rise (change in y) divided by run (change in x)
Choosing two points on the line (0, -6) and (2,0)
Slope = (0 - (-6)) / (2 - 0) = 6 / 2 = 3
The slope of our perpendicular line will be the opposite inverse, so:
m = -1/3
We have the point (6, -6) so we can solve for b
y = mx + b
-6 = (-1/3)*6 + b
-6 = -2 + b
b = -4
We know that m= (-1/3) and b= -4, so:
y = (-1/3)x - 4
This is definitely the correct answer. None of the above answers describe the line that is perpendicular to the blue line and passes through (6, -6). Make sure you wrote the options down correctly.
