Algebra 1 unit 4 mid quiz

The inequality that represents this graph is y < 2x + 2.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted line represents strictly less than or greater than.

From the graph, we can conclude that when x = 0, y = 2, and when x = 1 y = 4, and values of y are strictly less.

∴ The inequality that represents this graph is y < 2x + 2.

learn more about inequalities here :

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(Score for Question 1: ___ of 6 points)
Refer to the equation 4x+3y=24
A Complete the table of values for at least 2 points. Show your work.
B How did you find these two values? Answer in complete sentences.
C Use the table of values to graph the line.
You must complete all parts to receive full credit.



Answer:
x y



(Score for Question 2: ___ of 5 points)

The angle represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then . If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then . In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Suppose that two balanced dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7? Hint: Let A denote the event of a sum of 3. Let B denote the event of no sum of 3 or 7. Now, begin to list the out the sample space in terms of A and B - it should be recognizable in the lecture notes. Hint: A useful infinite series result when |z| < 1: 1 + z + z 2 + z 3 + z 4 + . . . = 1 1 − z

need help not sure ​

3 + 8 + 6 + 6 + 6 = 58 + 6
How do we solve this

Help plz asap I really need help with this

Write as a product:

25a^2−0.01b^10

A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.

A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Ο Α. 7 m
Ο Β. 11 m
Ο Ο Ο Ο
Ο C. 22 η
O D. 28 m

Having trouble with finding the rise over run and simplifying the fraction

What is the opposite of 4:3?

Write an algebraic expression for the difference of 5 from b .

A researcher predicts that listening to music while solving math problems willmake a particular brain area more active. To test this, a research participant hasher brain scanned while listening to music and solving math problems, and thebrain area of interest has a percentage signal change of 58. From many previousstudies with this same math problems procedure (but not listening to music), it isknown that the signal change in this brain area is normally distributed with amean of 35 and a standard deviation of 10.
(a) Using the .01 level, what shouldthe researcher conclude? Solve this problem explicitly using all five steps of hypothesistesting, and illustrate your answer with a sketch showing the comparisondistribution, the cutoff (or cutoffs), and the score of the sample on this distribution.(b) Then explain your answer to someone who has never had a course in statistics(but who is familiar with mean, standard deviation, and Z scores).

1/2 mi = 880 yd
True
O False

5(r-10)=51 what is r equal to?

The price of a stock steadily decreased by a total of $123 over the past 14 months.

A system of equation is shown: 2x = -y + 6 -4x + 3y =8 what is the solution tonthis system of equations? (-1, -4) (1, 4) (4, 4) (-4, -1)

Mai's new bedroom has a walk-in closet with a floor that measures 20 square
feet. Her closet ceiling is 9 feet from the floor.
What is the volume of her closet?

f(x)=3x^2+6x-18 , find f(10)

What is the value of 3/4 divided by 3/8

Please help me if you know the correct answer, thank you

what is the value of 2.5x+17+21x-25=180

guys help me 3(x−4)≥−2x+3

Please help me with this question? ​

what is the answer to this question?

I need help with this problem (THIS IS NOT FROM A TEST)

Jane wants to buy carpet for her room measuring 400 square feet. She purchased carpet that costs $20 per square yard. How much will it cost to have her room carpeted? (1 square yard = 9 square feet) Explain how you solved it.

Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
A
vertical
В.
adjacent
С
supplementary
D
complementary

If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)

Hope is n years old. Interpret the following expression if the expression represents Hunter's age.

3n -8

A.
Hunter is 8 years younger than Hope's age.

B.
Hunter is 8 years older than 3 more than Hope's age.

C.
Hunter is 8 years younger than 3 times Hope's age.

D.
Hunter is 8 years older than 3 times Hope's age.