Answer:
x=m+12g
Step-by-step explanation:
m=-12g+x
making x subject of formula, we have,
x=m+12g
Step-by-step explanation:Let number of 49 cents =A
Let number of 33 cents=B
<u>A+B=45 equation 1</u>
1 $=100 cents
49 cents =.49 dollar
33 cents=.33 dollar
so .<u>49A+.33B=17.89 equation 2</u>
Add equation 1 and equation 2
since these are simultaneous equations
.49A+.33B=17.89
A+ B=45
so divide equation 2 by 100 we get
49A+33B=1789
A+B =45 multiply equation 1 by 33 on both the sides we get
<u>33A+33B=1485 equation 3</u>
so subtract equation 3 from equation 2 we get
49A+33B=1789 equation 2
<u>33A+33B=1485 equation 3</u>
<u>16A+0 =304</u>
16A=304
A=304/16
A=19
putting nalue of A in equation 1 we get
A+B=45
19+B=45
B=45-19
B=26
so number of 49 cent stamps are 19
and number of 33 cent stamps are 26
Answer:
- Parent Function:

- Horizontal shift: right 3 units
- Vertical shift: up 3 units
- Reflection about the x-axis: none
- Vertical strech: streched
Step-by-step explanation:
assume that
is
and
is

The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.

factor a 1 out of the absolute value to make the coefficient of x equal to 1

factor a 2 out of the absolute value to make the coefficient of x equal to 1

find a, h and k for 

the horizontal shift depends on the value of h when
, the horizontal shift is described as:
- the graph is shifted to the left h units
- the graph is shifted to the right h units
the vertical shift depends on the value of k
Answer:
c. 9t+45 that shows distributive property
where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5
Answer:
-74
Step-by-step explanation:
Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.
Substitute x = -4 into the equation.
f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2
f(-4) = -64 -3(16) +36 + 2
f(-4) = -64 - 48 + 36 + 2
f(-4) = -74