Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
x = [ -7 ± √(97) ] / ( 4)
x = [ -7 ± sqrt(97) ] / ( 4 )
x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
24
We can divide the 8th graders into 4 groups. They are:
1. Like both math and science.
2. Like only math.
3. Like only science.
4. Don't like either math or science.
The sum of the people in all 4 groups will add up to 120. So let's see how many are in each group.
We've been given 23 as the number of people who like only math (group 2).
And since we know that 84 people like math, that means that 84 - 23 = 61 people are in group 1. And since we know that 73 people like science, that means that 73 - 61 = 12 are in group 3. So of the 4 groups, we now know.
1. Like both math and science (61 people).
2. Like only math (23 people).
3. Like only science (12 people).
4. Don't like either math or science (unknown).
So for the people left in group 4 (don't like either subject) that will be 120 - 61 - 23 - 12 = 24.
Answer:
correct answer is 0
Step-by-step explanation:
given data as per question
WhatPower5(1)
to find out
Evaluate the expressions WhatPower5(1)
solution
so here we know that whatpower mean exponent of equation so we get by given equation
so
we know whatpower5(1) = 0
because here
we know that anything exponent 0 is equal to 0
so here we can say that
that is 
= 1
so that the exponent is here 0 of 5 that become 1
so correct answer is 0
Answer:
238 degrees
Step-by-step explanation:
Whole circle measures 360 degrees.
Subtract 122 degrees from the whole circle to get 238 degrees.
Answer:
14
Step-by-step explanation:
to find f(value), we plug that x value into the equation
so, if..
f(x)= 3x² -x
f(-2)= 3 · (-2)² - (-2)
f (-2) = 3 · 4 + 2
f (-2) = 12 + 2
f (-2) = 14
