Answer:
The X and Y intercepts to the equation -3x - 7y = 84 is
x-intercept (s): (−28,0)
y-intercept (s): (0,−12)
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x
−3x−7⋅0=84
Solve the equation.
x=−28
x-intercept(s) in point form.
x-intercept (s): (−28,0)
To find the y-intercept(s), substitute in 0 for x and solve for y .
−3⋅0−7y=84
Solve the equation.
y=−12
y-intercept(s) in point form.
y-intercept (s): (0,−12)
Hope this helps.
Answer:
(B) 20
Step-by-step explanation:
Let small puppet be represented by-----------------s
Let large puppet be represented by-----------------l
Total number of puppets expression will be: s+l =25---------a
The expression for total costs will be : 1$ s + $2l=$30-------b
Equation a can be written as; s= 25-l ------------c
Use equation c in equation b as
$1( 25-l )+$ 2l = $30
25-l + 2l = 30
25+l =30
l= 30-25 =5
l, large puppets = 5
s, small puppets = 25-5 = 20
Answer choice A is incorrect because 25 is the total number of all puppets
Answer choice C and D are incorrect because the numbers are less that that of small puppets.
1) We calculate the volume of a metal bar (without the hole).
volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²
Volume=(0.935 m²)(2 m)=1.871 m³
2) we calculate the volume of the parallelepiped
Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³
3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped
Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³
4) we calculate the mass of the metal bar
density=mass/ volume ⇒ mass=density *volume
Data:
density=8.10³ kg/m³
volume=1.551 m³
mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg
answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg
B is correct. Substitute the week number for w in the function. Follow order of operations and you should get you N, the number of fruit flies for that week. For instance week 2:
N= 2(5)^2-1
N=2(5)^1
N=2(5)
N= 10
N= 10 corresponds to the table
