MATHEMATICS HIGH SCHOOL

What equation models the data in the table if d = number of days and c = cost?Days
Cost
2
16
3
24
5
40
6
48

d = 8c
c = d + 8
c = d + 8d
c = 8d

Answers

Answer 1
Answer:

Answer:

Correct option is:

c=8d

Step-by-step explanation:

Days               Cost

2                       16=2×8

3                       24=3×8

5                       40=5×8

6                       48=6×8

As we can clearly observe from the table above that if d is the number of days then the cost c is written as:

c=8d

Hence, Correct option is:

c=8d
Answer 2
Answer: D)

The cost is a direct variation of the days by a factor of 8. 

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Given f(x)=10-2x find f(7)

Simplify the following: a) ((w^-5)/(w^-9))^1/2
b) (m^6)^-2/3
c) (3x^-4y^5)/((2x^3y^-7))^-2

Answers

a. ((w^(-5))/(w^(-9) ))^{ (1)/(2) } \n ( (w^(9) )/(w^(5) ))^{ (1)/(2) } \n (w^(9-5))^{ (1)/(2) } \n (w^(4))^{ (1)/(2) } \n \sqrt{w^(4) } \n w^(2)
b.(m^(6))^{ (-2)/(3) } \n ((1)/(m^(6) ))^{(2)/(3) } \n \frac{ \sqrt[3]{1^(2) } }{ \sqrt[3]{m^(6) }^(2) } \n \frac{ \sqrt[3]{1} }{m^(2*2) } \n (1)/(m^(4) )
Hope this helps!
Problem A
((w^(-5))/(w^(-9)))^{{(1)/(2)} = ((w^(9))/(w^(5)))^{{(1)/(2)} = (w^(4))^{{(1)/(2)} = \sqrt[2]{w^(4)} = w^(2)

Problem B
(m^(6))^{-(2)/(3)} = \frac{1}{(m^(6))^{(2)/(3)}} = \frac{1}{\sqrt[3]{(m^(6))^(2)}} = \frac{1}{\sqrt[3]{m^(12)}} = (1)/(m^(4))

Problem C
((3x^(-4)y^(5))/(2x^(3)y^(-7)))^(-2) = ((3y^(12))/(2x^(7)))^(-2) = ((3y^(12))^(-2))/((2x^(7))^(-2)) = ((2x^(7))^(2))/((3y^(12))^(2-)) = (4x^(14))/(9y^(24))

What is the slope of the line in the graph?

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:
The slop is 1 duee to my thinkiny

Xz is 15 and the perimeter of triangle xwz is 50 what is the length of wz

Answers

Well if you have a congruent lines, and you have P = 50 and xz = 15 P = xz + 2 * wz so to find wz you need to subtract xz and divide by 2 50 - 15 = 35 and then divide by 2 to get 17.5

Jim, Carla and Tomy are members of the same family.  Carla is 5 years older than Jim.  Tomy is 6 years older than Carla.  The sum of their 3 ages is 31 years. How old is each one of them?

Answers

let the age of jim be x
carla's age= x+5
tomy's age= 6+5+x
sum of their ages=31
x+x+5+x+5+6=3x+16=31
3x=31-16
   =15
x=15 divided by 3
     = 5
jim's age=5
carla's age=10
tomy's age = 16
x - Jim
y - Carla
z - Tomy

y=x+5\n z=y+6\n x+y+z=31\n\n x=y-5\n z=y+6\n x+y+z=31\n\n y-5+y+y+6=31\n 3y=30\n y=10\n\n x=10-5\n x=5\n\n z=10+6\n z=16

What is the name of the relationship between ​ ∠1 ​ and ∠8 ?A. adjacent angles

B. alternate interior angles

C. alternate exterior angles

D. corresponding angles

Answers

Answer:

∠1 and ∠8 are alternate exterior angles.

Step-by-step explanation:

We are given two parallel lines and one transversal line which cuts both parallel line and makes two 8 angles.

We need to find the relation between them

As we know total 8 angles form when two parallel line cut by one line.

Name of angles (relation of angles)

  • Alternate interior angles
  • Adjacent angles
  • Corresponding angles
  • Alternate exterior angles

Alternate Exterior Angles are a pair of angles on the inside of each of those two parallel lines but on opposite sides of the transversal.

Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Adjacent angles are a pair of angles whose a common side and a common vertex.

Corresponding angles are a pair of angles whose one out side and one inside of those parallel lines but on same side of the transversal.

Here, ∠1=∠8 because ∠1 and ∠8 are alternate exterior angles.

Thus, ∠1 and ∠8 are alternate exterior angles.

Answer:

Alternate exterior angles

647.5x(12.89-7.2) divided by 88.8 to 1 significant figure

Answers