Answer:
No solution.
Step-by-step explanation:
−3> 7x−8 > −0.2
Split this into 2 inequalities:
7x - 8 < -3 Add 8 to both side:
7x < 5
x < 5/7.
and:
7x - 8 > -2 Add 8 to both sides:
7x > 6
x > 6/7.
But x cannot be both less than 5.7 and > 6.7, so No solution.
We want to get the difference quotient for the given function, we will get see that the difference quotient is equal to:
f'(x) = 2x + 5
<h3>
The difference quotient:</h3>
For a given function f(x), we define the difference quotient as:
In this case, we have:
f(x) = x^2 + 5x + 6
Replacing that in the difference quotient we get:
Now we can cancel the factor h to get:
So the difference quotient is equal to 2x + 5.
If you want to learn more about difference quotients, you can read:
brainly.com/question/4224465
Answer:
#1 is 30 degrees
#2 is obtuse
#3 is "No rhombuses are rectangles"
#4 is D
#5 is A
Step-by-step explanation:
For #1, we have an angle vertical to 120 degrees which includes a right angle, so we make an equation:
90+x=120
x=30
So angle x is 30 degrees aka. Option A
For #2, obtuse angles have the sum of the square of the side lengths that are less than the square of the hypotenuse. In this case, 6^2+4^2<9^2 or 50<81
For #3, rhombuses have two pairs of congruent sides but no right angles while rectangles have two pairs of congruent sides but they also have right angles.
For #4, they are similar because one of the triangles is dialated by a scale factor of 1.5.
For #5, just think of turning the triangle on its other side, aka. option A
