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IrinaK [193]
3 years ago
13

Adrianna writes the equation y=2x+4 to represent a line on a graph. Henry writes an equation that has a y-intercept that is 1 un

it lower back on the graph but has the same slope as Adriannas line. Which is Henry’s equation
A y=x+4
B y=3x+4
C y=2x+3
D y=2x+5
Mathematics
2 answers:
nadya68 [22]3 years ago
7 0
Henry’s equation is “C y = 2x + 3”.
balandron [24]3 years ago
7 0

Answer:

C or y=2x+3

Step-by-step explanation:

I took the test and got an 100%

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Which of the following is NOT a factor of b3 +6b²?<br> 63<br> 062<br> Ob<br> (b + 6)
Gnesinka [82]

Answer:

b³

Step-by-step explanation:

The lowest common multiple of the expression is b². This because, taking out a factor of b, b ( b² + 6b ), taking out a factor of b², b² ( b + 6 ),

taking out a factor of ( b + 6 ), ( b + 6 ) b². As a result b² is only the option which is not a factor.

7 0
2 years ago
Consider rolling two fair dice one 3-sided the other 5-sided
Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

1\leq x\leq 3,\quad 1\leq y \leq 5

We have P(X=x)=\frac{1}{3} and P(Y=y)=\frac{1}{5}, because the dice are fair.

Now we use the assumption of independence to claim that

P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

  • 2 in a unique way (1+1)
  • 3 in two possible ways (1+2, 2+1)
  • 4 in three possible ways
  • 5 in three possible ways
  • 6 in three possible ways
  • 7 in two possible ways
  • 8 in a unique way

This implies that the probabilities of the outcomes of W=X+Y are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5

8 0
3 years ago
Beaker A contains 1 liter which is 30 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which
alekssr [168]

Answer:

1.25 liters of oil

Step-by-step explanation:

Volume in Beaker A = 1 L

Volume of Oil in Beaker A = 1*0.3 = 0.3 L

Volume of Vinegar in Beaker A = 1*0.7 = 0.7 L

Volume in Beaker B = 2 L

Volume of Oil in Beaker B = 2*0.4 = 0.8 L

Volume of Vinegar in Beaker B = 1*0.6 = 1.2 L

If half of the contents of B are poured into A and assuming a homogeneous mixture, the new volumes of oil (Voa) and vinegar (Vva) in beaker A are:

V_{oa} = 0.3+\frac{0.8}{2} \\V_{oa} = 0.7 \\V_{va} = 0.7+\frac{1.2}{2} \\V_{va} = 1.3

The amount of oil needed to be added to beaker A in order to produce a mixture which is 60 percent oil (Vomix) is given by:

0.6*V_{total} = V_{oa} +V_{omix}\\0.6*(V_{va}+V_{oa} +V_{omix}) = V_{oa} +V_{omix}\\0.6*(1.3+0.7+V_{omix})=0.7+V_{omix}\\V_{omix}=\frac{0.5}{0.4} \\V_{omix}=1.25 \ L

1.25 liters of oil are needed.

6 0
3 years ago
Tracy is filling the box with unit cubes that are 1 inch on each side. She will fill the box with cubes without any gaps or over
balu736 [363]

Answer:

Volume = 48in^3

Step-by-step explanation:

Given

See attachment for box

Required

The volume of the box

The number of boxes in each direction represents the length of that dimension.

So, from the attachment

Width = 4in

Length = 3in

Height = 4in

The volume is:

Volume = Length * Width * Height

Volume = 4in * 3in * 4in

Volume = 48in^3

5 0
3 years ago
Please try to do it this is where we help each other
defon

Answer:

1. x^8

2. x^8

3. 1024

4. -21a^4

5. z^10

6. -9x^7

7. 42r^7

8. b^7

9. 8a^11

10. 12p^12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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