Linear
Given f(x) = 6x-11
Find f(-5)
-41
Which expression is equivalent to
x^2-16x+49
a. (x-7)2
b. (x-8)2
c.
(x-8)^2-15
c.
A flea medicine breaks down at a rate of 20% per hour. This is the rate of decay of the medicine. The initial dose is 60 milligrams. Write an equation to represent the amount of flea medicine left in an animal after x hours?
y=60(.8)x
3,12,48,192
3(4)n-1
Find the slope of a line both perpendicular and parallel to the line whose equation is 6x-10y=140
parallel = 3/5
Perpendicular= -5/3
Graph the inequalities -3x-4y>8 and
2x-5y<10 in desmos. Name a point that is a solution and a point that is NOT a solution.
Answers will vary. Check answer
What are the zeros of? Answer must be a coordinate point.
25x^2-100=0
(-2,0) and (2,0)
Jack invests $600 earning 5% interest rate. How much will he have in 5 years?
$765.77
Given a rectangle with with side lengths 3x-2 and x-5.
Find the area and perimeter
Perimeter = 8x-14
Area = 3x^2-17x+10
A computer store is placing an order for computers and tablets. Each computer costs $875 and each tablet costs $235. The store can spend at most $10,000 for these computers and tablets. The computer store has limited amount of space for displaying the new computers and tablets. Each computer takes up 4 square feet of space, and each tablet takes up 3 square feet of space. The store has only 45 square feet of display space available for the new computers and tablets. The system of inequalities shown can be used to determine possible combinations of computers, x, and tablets, y, the store can order.
875x+235y<=10,000
4x+3y<=45
Which combination of computers, x, and tablets, y, can the computer store order?
a. (8,4)
b. (10,2)
c. (7,9)
d. (5,9)
a. (8,4)
Provide the range for the following functions:
f(x)=-x^2-10x+10
(negative infinity, 15]
or
y<=15
What is the range of the function shifted down 2
y=2x
(-2, positive infinity)
Roger has the following data: 12,10,3,5,6
Susan has the following data: 5,9,4,5,6
Who has the data with the highest median and what is it?
Roger
median=6
Find the distance between the two points in simplest radical form.
(5,-4) and (-1,4)
10
Ajay signed up for a streaming music service that costs $15 per month. The service allows Ajay to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $2 per song
What would be the cost if he downloaded 40 songs offline:
95
A store uses the function shown to estimate the number of people in the store at any time, where x is the number of hours since the store open. The store is closed in the hours when f(x)<0 What is the domain of this function and what does that domain mean in thsi context?
f(x)= -4(x-4.5)^2+81
a. D:{x|0<=x<=4.5}
b. D:{x|0<=x<=9}
C. D: {x|0<=x<=18}
d. D: {x|0<=x<=81}
b. The domain means the store is open for 9 hours
What are the roots of the function given listed down 4:
y=5x2
-1 and 1
A scientist studied the relationship between the number of trees, x, per acre and the number of birds, y, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation y=4+6x for the regression line.
What is the meaning of the slope and y-intercept of this regression line?
The slope is 6. this means that for every 1 addtional tree she can expect an average of 6 additional birds per acre.
The y intercept is 4 this means that the average number of birds per acre in an area with no trees in 4
Find the sum of the following:
sqrt12 + sqrt27
5sqrt3
A restaurant makes two kinds of bread: plain bread and cheesy bread. An order of plain bread requires 2 pounds of dough and 1 pound of cheese. The restaurant has 80 pounds of dough and 20 pounds of cheese available each day.
Which system of Inequalities represents the number of orders of plain bread, x, and cheesy bread, y, that can be made each day?
a. 2x+3y<= 80 and x<=20
b. 2x+3y<= 80 and y<=20
c. 3x+2y<=80 and x<=20
d. 3x+2y<=80 and y<=20
b.
The function h(x) is the quadratic function that describes the height, h(x), in feet, of a football x seconds after the football has been kicked into the air.
Describe what h(2)=67 means in the context of this situation?
after 2 seconds the football is 67 feet high
Consider the function for cell duplication. The cells duplicate every minute. What do the values 75 and 2 represent in relation to the duplication of these cells.
f(x)=75(2)x
The 75 is the initial number of cells and the 2 indicates that the number of cells double every minute.
Freshman: 4,8,6,8,7,3
Sophomore: 6,9,3,6,11,7
Which statement is true about the avergae number of coats collected by the freshman and sophomore homerooms?
a. The freshmen averaged 1 more coat collected than the sophomores
b. The freshmen averaged the same number of coats collected as the sophomores.
C. the sophomores averaged 1 more coat collected than the freshmen.
d. The sophomores averaged 3 more coats collected than the freshmen.
c
Simplify the following:
3x^2sqrt75x^5
15x^4sqrt3x