Answer:
a) subtracting '8' on both sides, we get
- 5 x² + 8-8 = 133-8
- 5 x² = 125
b) The solution is x = 5 i
Step-by-step explanation:
<em>Explanation</em>:-
<u><em>Step (i):</em></u>-
Given quadratic equation - 5 x² + 8 = 133
subtracting '8' on both sides, we get
- 5 x² + 8-8 = 133-8
- 5 x² = 125
<u><em>Step(ii)</em></u>:-
dividing '-5' on both sides, we get
x² = -25
x = 5 i
Answer:
The scale factor is 3.
Step-by-step explanation
Figure B has side measures 16, 20, and 9. Figure A has side measures 48, 27, and 60. The ratio of each of the corresponding sides is 1:3 (16:48, etc). Therefore, the scale factor of Figure B to Figure A is 3.
Given:
- a=2
- b=-3
Question:
2a - 4b
Step by step explanation:
Step 1:
2×2-4×(-3)
Step 2:
4-4(-3)
Step 3:
4+12
Step 4:
16
So 16 is correct answer
hope it helped you :)
Answer:
x = 18
Step-by-step explanation:
12/14 = 6/7
x/x + 3 = 6/7
to find x:
x/x + 3 = 6/7
7x = 6x + 18
7x - 6x = 18
Answer:
0.7102
0.8943
0.3696
Step - by - Step Explanation :
A.) Between $1320 and $970
P(Z < 1300) - P(Z < 970)
find the Zscore of each scores and their corresponding probability uinag the standard distribution table :
P(Z < (x - μ) /σ) - P(Z < (x - μ) / σ))
P(Z < (1320 - 1250) /120) - P(Z < (970 - 1250) / 120))
P(Z < 0.5833) - P(Z < - 2.333)
0.7200 - 0.0098 = 0.7102 (Standard
=0.7102
B.)Under 1400
x = 1400
P(Z < 400)
P(Z < (x - μ) /σ)
P(Z < (1400 - 1250) /120)
P(Z < 1.25) = 0.8943
C.) Over 1290
P(Z > 1290)
P(Z < (x - μ) /σ)
P(Z > (1290 - 1250) /120 = 0.3333
P(Z > z) = 1 - P(Z < 0.3333) = P(Z < 0.3333) = 0.6304
P(Z > 0.3333) = 1 - 0.6304 = 0.3696