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xxTIMURxx [149]
3 years ago
7

Line CD contains points A (4, −7) and B (4, 8). The slope of line CD is

Mathematics
2 answers:
scoundrel [369]3 years ago
6 0

Answer:

Undefined

Step-by-step explanation:

Slope=m=y2-y1/x2-x1=8- (-7)/4-4=8+7/4-4=15/0 so you can't divide by zero and calculator will give you an error. Thus, the answer is undefined. This means there is no horizontal change, which is another way to say the line is vertical. All vertical lins have a slope that is "undefined".

Alex17521 [72]3 years ago
5 0
Given two points; A(x₁,y₁) and B(x₂,y₂) the slope "m" is:
m=(y₂-y₂)/(x₂-x₁)   or   m=(y₁-y₂)/(x₁-x₂)

In this case:
A(4,-7)
B(4,8)

m=(-7-8) / (4-4)=-15/0  because we have "0" in the denominator the line is vertical, and its slope is indefinitely. 
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The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities to
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3 years ago
A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $11, the average attendance has been 27
sasho [114]

Answer:

$15.625

Step-by-step explanation:

Let the revenue collected be R and price per spectator be p then the number of spectators be N. Therefore

R=Np

Using equation of slope of y=mx +c where m is gradient and c is y-intercept

When p=$11, N=27000 and when p=$8, N=31000

The gradient, m will be

m=\frac {31000-27000}{8-11}= -1333.33

To get the y-intercept

N=-1333.33p+c

When spectator number n is 27000, the price p is $11

27000=-1333.33(11)+c hence we solve c

c=27000+(11*1333.33)= 41666.67

Therefore, the linear equation is

N=-1333.33p+ 41666.67

Substituting the linear equation into R=Np we obtain

R=p(-1333.33p+41666.67)

R=-1333.33p^{2}+41666.67p

To obtain maximum revenue, we differentiate the above with respect to price hence obtain

0=2*-1333.33p+41666.67

p=-\frac {41666.67}{2(-1333.33)}= 15.625

Therefore, the price that maximizes revenue is $15.625

4 0
3 years ago
Evaulate 3 x ( 6 - 3)^3
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8 0
3 years ago
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What is 0.96 rounded to the neatest tenth.
Alona [7]

Answer:

1.0

Step-by-step explanation:

6 is greater than 5 therefore it rounds 9 up to the next number which is 10, 1.0 or just 1.

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maxonik [38]

Answer:

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

Step-by-step explanation:

We are given the following in the question:

"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."

Independent and Dependent Variable:

  • Dependent variable is the variable whose value depends on the independent variable.
  • Independent variable is the free variable.

For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.

Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.

Thus, the correct answer is

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

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