Maths-
SAT
Easy
Question
Lines t and w are parallel in the xy-plane. The equation of line t is 4x + 7 y = 14, and line w passes through (-3, 8). What is the value of they-intercept of line w?
The correct answer is: 44/7
Parallel lines have equal slopes t has slope = 
W has slope =
y = mx + c be line w
passes through (-3,8)
=6.28
Related Questions to study
Maths-
The numbers of people, in millions, who visited Amusement Park A and Amusement Park B in 2009 through 2013 are listed in the table below. What is the positive difference between the mean number of people, in millions, who visited Amusement Park B · and the mean number of people, in millions, who visited Amusement Park A during those years? (Round your answer to the nearest tenth.)
|
Location |
2009 |
2010 |
2011 |
2012 |
2013 |
| Amusement Park A |
15.7 |
15.2 |
14.4 |
14.1 |
12.3 |
| Amusement Park B |
15.9 |
16.0 |
16.1 |
16.0 |
16.2 |
The numbers of people, in millions, who visited Amusement Park A and Amusement Park B in 2009 through 2013 are listed in the table below. What is the positive difference between the mean number of people, in millions, who visited Amusement Park B · and the mean number of people, in millions, who visited Amusement Park A during those years? (Round your answer to the nearest tenth.)
|
Location |
2009 |
2010 |
2011 |
2012 |
2013 |
| Amusement Park A |
15.7 |
15.2 |
14.4 |
14.1 |
12.3 |
| Amusement Park B |
15.9 |
16.0 |
16.1 |
16.0 |
16.2 |
Maths-SAT
Maths-
p = 9n - (2n + k)
The profit p, in dollars, from producing and selling n units of a certain product is given by the equation above, where k is a constant. If200 units are produced and sold for a profit of $1275, what is the value of k?
p = 9n - (2n + k)
The profit p, in dollars, from producing and selling n units of a certain product is given by the equation above, where k is a constant. If200 units are produced and sold for a profit of $1275, what is the value of k?
Maths-SAT
Maths-
The function f has the property that, for all x , 3f(x) = f(3x). If f(6) = 12, what is the value of f(2)?
The function f has the property that, for all x , 3f(x) = f(3x). If f(6) = 12, what is the value of f(2)?
Maths-SAT
Maths-
Radioactive substances decay over time. The mass M, in grams, of a particular radioactive substance d days after the beginning of an experiment is shown in the table below.
|
Number of days, d |
Mass, M (grams) |
|
0 |
120.00 |
|
30 |
103.21 |
|
60 |
88.78 |
|
90 |
76.36 |
Radioactive substances decay over time. The mass M, in grams, of a particular radioactive substance d days after the beginning of an experiment is shown in the table below.
|
Number of days, d |
Mass, M (grams) |
|
0 |
120.00 |
|
30 |
103.21 |
|
60 |
88.78 |
|
90 |
76.36 |
Maths-SAT
Maths-
The table below shows the number of lakes in the United Kingdom classified by alkalinity and depth.
|
Depth class |
Alkalinity Class |
|||
|
Low |
Medium |
High |
Total |
|
| Shallow |
87 |
61 |
209 |
357 |
| Moderate |
227 |
86 |
110 |
423 |
| Deep |
130 |
35 |
21 |
186 |
| Total |
444 |
182 |
340 |
966 |
The table below shows the number of lakes in the United Kingdom classified by alkalinity and depth.
|
Depth class |
Alkalinity Class |
|||
|
Low |
Medium |
High |
Total |
|
| Shallow |
87 |
61 |
209 |
357 |
| Moderate |
227 |
86 |
110 |
423 |
| Deep |
130 |
35 |
21 |
186 |
| Total |
444 |
182 |
340 |
966 |
Maths-SAT
Maths-
a(-3x-1) + x = 7x - 2
The equation above has no solutions, and a is a constant. What is the value of a ?
a(-3x-1) + x = 7x - 2
The equation above has no solutions, and a is a constant. What is the value of a ?
Maths-SAT
Maths-
A signal from a spacecraft orbiting Mercury travels to Earth at a speed of 3 x 108 meters per second. If the distance between Earth and the spacecraft is 2.0221 x 108 kilometers, which of the following ·is closest to the number of minutes it will take for a signal from the spacecraft to reach Earth?
(1 kilometer= 1,000 meters)
A signal from a spacecraft orbiting Mercury travels to Earth at a speed of 3 x 108 meters per second. If the distance between Earth and the spacecraft is 2.0221 x 108 kilometers, which of the following ·is closest to the number of minutes it will take for a signal from the spacecraft to reach Earth?
(1 kilometer= 1,000 meters)
Maths-SAT
Maths-
y = (x-h)2 (x+h)(x+k)
The equation above is graphed in the xy-plane. If h and k are positive constants and h 
k, how many distinct x-intercepts does the graph have?
y = (x-h)2 (x+h)(x+k)
The equation above is graphed in the xy-plane. If h and k are positive constants and h k, how many distinct x-intercepts does the graph have?
Maths-SAT
Maths-
The scatterplot above represents the salary y, in thousands of dollars, and the number of years of experience, x, for each of six employees at a company. A line of best fit for the data is also shown. Which of the following could be an equation of the line of best fit?
The scatterplot above represents the salary y, in thousands of dollars, and the number of years of experience, x, for each of six employees at a company. A line of best fit for the data is also shown. Which of the following could be an equation of the line of best fit?
Maths-SAT
Maths-
x(x + 1) + 2(x + 1) = ax2 +bx+ c
In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of a + b + c ?
x(x + 1) + 2(x + 1) = ax2 +bx+ c
In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of a + b + c ?
Maths-SAT
Maths-
kx+ y = 1
y = -x2 + k
In the system of equations above, k is a constant. When the equations are graphed in the xy-plane, the graphs intersect at exactly two points. Which of the following CANNOT be the value of k ?
kx+ y = 1
y = -x2 + k
In the system of equations above, k is a constant. When the equations are graphed in the xy-plane, the graphs intersect at exactly two points. Which of the following CANNOT be the value of k ?
Maths-SAT
Maths-
A physician prescribes a treatment in which a patient takes 2 teaspoons of a medication every 6 hours for 5 days. According to the prescription, how many teaspoons of the medication should the patient take in a 24-hour period?
A physician prescribes a treatment in which a patient takes 2 teaspoons of a medication every 6 hours for 5 days. According to the prescription, how many teaspoons of the medication should the patient take in a 24-hour period?
Maths-SAT
Maths-
How many fluid ounces are equivalent to 40 cups of liquid?(8 fluid ounces 1 = cup)
How many fluid ounces are equivalent to 40 cups of liquid?(8 fluid ounces 1 = cup)
Maths-SAT
Maths-
y=x2 -6x - 16
The graph of the equation above in the xy-plane is a parabola. Which of the following equivalent forms of the equation includes the x- and y-coordinates of the
vertex as constants?
y=x2 -6x - 16
The graph of the equation above in the xy-plane is a parabola. Which of the following equivalent forms of the equation includes the x- and y-coordinates of the
vertex as constants?
Maths-SAT
Maths-
s = 9.8t
The equation above can be used to approximate the speed s, in meters per second (m/s), of an object t seconds after being dropped into a free fall. Which of the following is the best interpretation of the number 9.8 in this context?
s = 9.8t
The equation above can be used to approximate the speed s, in meters per second (m/s), of an object t seconds after being dropped into a free fall. Which of the following is the best interpretation of the number 9.8 in this context?
Maths-SAT
