Step-by-step explanation:
-1 / 2 + x = -21 /4
x = -21/4 + 1/2
x = (-21 + 2)/4
x = -19/4
a) she jogged farther on Tuesday
b)by 30 miles
Step-by-step explanation:33>3, 33-3=30
Same-side interior angles are supplementary, so add to 180°.
Opposite side exterior angles are equal.
Solve these by using the appropriate relation with the given expressions.
9) (x +134) +(x +64) = 180
.. 2x +198 = 180
.. x = (180 -198)/2 = -9
The angles are 125° (top) and 55° (bottom).
Answer:
0 ≤ u < 7 and 0 > u > - 7 and combining those two we get - 7 < u < 7.
Step-by-step explanation:
The given inequality is |u| - 2 < 5 ....... (1)
We have to solve this inequality.
Now, from the definition of f(x) = |x| we get, f(x) = x, when x ≥ 0 and
f(x) = -x when x < 0.
Hence, for u ≥ 0, the equation of inequality (1) becomes
u - 2 < 5
⇒ u < 7
Therefore, the solution is 0 ≤ u < 7 (Answer)
Again, for u < 0, the equation of inequality (1) becomes
- u - 2 < 5
⇒ u + 2 > - 5
⇒ u > - 7
Therefore, the solution becomes 0 > u > - 7 (Answer)
Answer:
Step-by-step explanation:
Factored form: (x - 8)(x + 1)
x-int: (8, 0) and (-1, 0)
Axis of symmetry: -(-7)/2 = 7/2
Vertex: (7/2, -81/4)
Domain: all real numbers
Range: y>= -81/4
