Three to Ten 3:10
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What does it mean to say that a function is linear?
Select all that apply.
A. The function has a graph that includes the point (0,0).
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
| E. The function has a rate of change that increases.
A function is linear if:
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
A linear function has a constant rate of change (either increasing or decreasing).
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Are the following polynomial sets open or closed? 6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8) 7 (2 - x)(1 + 3x) 8. (5b - 3c)(7b - 3c)
Answer:
=5880b2x4−6048bcx4+1512c2x4−3920b2x3+4032bcx3−1008c2x3+33320b2x2−34272bcx2+8568c2x2−82320b2x+84672bcx−21168c2x−31360b2+32256bc−8064c2+6x2+6x−24
Step-by-step explanation:
Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes costs $4.50 and he played 5 games, what was the price per game?
Answer:
first off theres two ways of doing it the equation is more fun though
14.5 = x + 4.5
14.5 = x(5) -4.5
-4.5
10 = 5x
divide by 5
you get
2x or $2
other way was to just -4.5 and divide by 5 but thats no fun
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y = |x + 4| - 1
Approximate when the function is positive, negative, increasing or decreasing.
Describe the end behavior of the function.
Function is positive:
Negative:
Increasing:
Decreasing:
Step-by-step explanation:
Given function:
y = |x + 4| - 1See the graph below
According to the graph we see that
The minimum is (-4, -1) and zero's are (-5, 0) and (-3, 0)
Function is positive:
When x < - 5 and x > -3Negative:
When x is between -5 and -3Increasing:
When x > -4Decreasing:
When x < -4A previous survey of Washington residents showed that 18% of residents accessed a state park within the last 12 months. This year, the state would like to re-administer the survey, but wants to be sure the Margin of Error in their new study will be at most 4%. Assuming they believe the previous survey's results were reliable, how many samples should they take to ensure their Margin of Error is at most 4% if they plan to analyze the data using a 95% confidence interval
Using the z-distribution for the margin of error, it is found that 355 samples should be taken.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The estimate is of 18%, hence [tex]\pi = 0.18[/tex].
95% confidence, hence [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The minimum sample size is n for which M = 0.04, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2[/tex]
[tex]n = 354.4[/tex]
Rounding up, 355 samples should be taken.
A similar problem is given at https://brainly.com/question/14936818
Find the number k so that 125 is 65% of k
The value of the unknown number k with the given percentage is 192.31.
The given parameters;
percentage of the unknown number = 65%result obtained from 65% of k = 125The original value of the unknown number "k" is calculated by setting up a linear equation as follows;
[tex]k \times 0.65 =125\\\\k = \frac{125}{0.65} \\\\k = 192.31[/tex]
Thus, from the result above we can conclude that the value of the unknown number "k" is 192.31.
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Answer the following questions.
(a) What percent of 80 is 44?
(b) What number is 45% of 40?
Answer:
a. 55%
b. 22
Step-by-step explanation:
Answer:
[tex]a)55[/tex]
b) 18
Step-by-step explanation:
→ Set up an for part a
[tex]\frac{80x}{100} =44[/tex]
→ Multiply both sides by 100
[tex]80x=4400[/tex]
→ Divide both sides by 80
[tex]x = 55[/tex]
→ Multiply both numbers together for part b
45 × 40 = 1800
→ Divide the answer by 100
1800 ÷ 100 = 18
it is the onion of set of whole numbers and the opposition of the set counting or natural numbers A. integers B. inverse C. Positive D. Negative
integers is your answer
Which statement is true in the question below?
Answer:B
Step-by-step explanation:
Solve:
8t + 2 = 8 (4) + 2 = ? + 2
What is the (?) / Question mark?
Answer:
? = 32
Step-by-step explanation:
Because 8 times 4=32 plus 2 = 34 and therefore t=4 8 times 4 again plus 2 = 34 so 32 plus 2 =34
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please help.. no links
Use Pythagorean theorem,
[tex]29^2 = 21^2 + x^2 \\\\\implies x^2 = 29^2 -21^2 \\\\\implies x^2 = 400\\\\\implies x = \sqrt{400} = 20[/tex]
How much would $125 invested at 8% interest compounded continuously be
worth after 16 years? Round your answer to the nearest cent.
A(t)= Poet
A. $428.24
B. $285.00
C. $449.58
D. $367.26
c$449.58
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Find the surface area of this cuboid
Answer:
62
Step-by-step explanation:
SA=2(5x2)+2(5x3)+2(3x2)
SA=20+30+12
SA=62
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
This question is basically asking for the area of the tablecloth. Remember that A = l • w.
12 • 7 = 84
So, Henry will need to buy 84 ft^2 of fabric.
How do u do this math problem
Answer:
is there a question asked or no?
Tara's pool is 50 yards in length and 20 feet in width. How many square feet is the pool? How many square yards in the pool? Show your work.
Factor the following expression. x^2+9x+8
Answer:
(x+1)(x+8)
Step-by-step explanation:
I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.
The product of a number is 221. sum of no. is 30. Find the number. . p
Answer: 13 and 17
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1/7 divided by blank equals 14
Answer:
1/98
Step-by-step explanation:
Step 1: Translate statement into equation.
[tex]\frac{1}{7}/x = 14[/tex] [tex]\frac{1}{7x}=14[/tex]Step 2: Multiply both sides by 7x.
[tex]\frac{1}{7x} * 7x = 14 * 7x[/tex] [tex]1 = 98x[/tex]Step 3: Divide both sides by 98.
[tex]\frac{1}{98} =\frac{98x}{98}[/tex] [tex]x = \frac{1}{98}[/tex]Step 4: Check if solution is correct.
[tex]\frac{1}{7}/\frac{1}{98}[/tex] [tex]\frac{1}{7}*98[/tex] [tex]14[/tex]Therefore, the answer is 1/98.
what is the greatest number of obtuse angles that a right triangle can contain
Step-by-step explanation:
i think this is the answer
Answer:
ZeroStep-by-step explanation:
Obtuse angle is the angle greater than 90°.
A right triangle has one 90° and the sum of remaining angles is 90°.
It means a right triangle can't have an obtuse angle.
Carpet sells for $3 per square foot and will cost you $675 to recarpet your rectangular room. If your room is 15 feet long, how many feet wide is it?
my friend asked me for help and i forgot how to do this.
Answer:
Wings-3
Dollars-10
try this
What is 23=5-2/3m ??????
Answer:
Step-by-step explanation:
if it's
23 = 5 - (2/3)m
18 = (-2/3)m
m = 18(-3/2)
m = -27
if it's
23 = 5 - 2/(3m)
18 = -2/(3m)
18(3m) = -2
54m = - 2
m = -2/54
m = - 1/27
5/7 times 7/8 in simple form
Answer:
609
Step-by-stepStep-by-step explanation:
nope
Among all the pairs of numbers whose difference is 18 18 , find the pair with the smallest product. What is the product?
Answer:2-b= 18-a+b now their product is F=a.b-f(b)=18+b)b Dt/db =18+2b-0=18+2b-0=9+b-9=b
so, that's our only critical point, run a first-derivative test on it, and you'll notice is a minimum
Step-by-step explanation:
Find the discriminant of the quadratic equation.
2i2+6i=4
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Determine the value of x. Question 4 options: A) 10 B) 5 C) 10 D) 5
I don't know the answer to this & I don't understand how to get it.
Answer:
i thank it h
Step-by-step explanation:
Answer:
Well your answer is (F)
Step-by-step explanation:
?
I
Graph the direct variation equation. Y=1/3x
Which graph is correct
A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?
Answer:
(6p7q)²
Step-by-step explanation:
you have to square the length to find the area of a square
The area of the bedroom would be (6p7q)² square units.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A bedroom is in the shape of a square. The length of the room is 6p7q.
According to the given question, we can write the dimension as:
The width of the room = 6p7q units
The length of the room = 6p7q units
The area of the room = width of the room × length of the room
The area of the room = 6p7q × 6p7q
Apply the multiplication operation,
The area of the room = (6p7q)² square units
Therefore, the area of the room is (6p7q)² square units.
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