Math
Line 𝓁 is defined by 3y + 12x = 5. Line n is perpendicular to line 𝓁 in the xy-plane. What is the slope of line n?
________________
x(x+1) - 56 = 4x(x-7)
What is the sum of the solutions to the given equation?
________________
y < 6x + 2
For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?
A.
x | y |
|---|---|
3 | 20 |
5 | 32 |
7 | 44 |
B.
x | y |
|---|---|
3 | 16 |
5 | 36 |
7 | 40 |
C.
x | y |
|---|---|
3 | 16 |
5 | 28 |
7 | 40 |
D.
x | y |
|---|---|
3 | 24 |
5 | 36 |
7 | 48 |
In triangle XYZ, angle Y is a right angle, the measure of angle Z is 33°, and the length of YZ is 26 units. If the area, in square units, of triangle XYZ can be represented by the expression ktan33°, where k is a constant, what is the value of k?
_____________
The regular price of a shirt at a store is $11.70. The sale price of the shirt is 80% less than the regular price, and the sale price is 30% greater than the store's cost for the shirt. What was the store’s cost, in dollars, for the shirt?
____________
In triangles ABC and DEF, angles B and E each have measure 27° and angles C and F each have measure 41°. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle DEF?
A. The measure of angle A
B. The length of side AB
C. The lengths of sides BC and EF
D. No additional information is necessary.
Which of the following expressions has a factor of x + 2b, where b is a positive integer constant?
A. 3x2 + 7x + 14b
B. 3x2 + 28x + 14b
C. 3x2 + 42x + 14b
D. 3x2 + 49x + 14b
Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?
A. 0
B. 1
C. 10
D. 23
Poll Results
Angel Cruz | 483 |
|---|---|
Terry Smith | 320 |
The table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote in the election, by how many votes would Angel Cruz be expected to win?
A. 163
B. 1,304
C. 3,864
D. 5,621