Two linear functions are shown.
Which function has the greater
initial value?
Function B
y = 6x + 3
Function A
Х y
- 1 9
0 6
1 3
2 0
Function has the greater initial value because the initial value for Function A is and the initial
value for Function B is
(Type integers or decimals.)
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Answers
Answer:
Function A has a greater initial value because the initial value for Function A is 6 and the initial vale for Function B is 3
Step-by-step explanation:
The data for Function A is presented here as follows;
[tex]\begin{array}{cc}x&y\\-1&9\\0&6\\1&3\\2&0\end{array}[/tex]
The slope of the function, 'm', is given using any two points as follows;
m = (9 - 3)/((-1) - 1) = -3
The slope of the function = -3
The equation of function in point and slope form is given as follows;
y - 3 = -3·(x - 1)
The equation of Function A, is therefore, given as follows;
y = 3 - 3·x + 3 = 6 - 3·x
∴ y = 6 - 3·x
The equation of Function B is given as follows;
y = 6·x + 3
The initial value of a function is given by the y-intercept of the function, where the input variable (x-variable) is zero
The initial value, (y-intercept) of Function A, f(0) is therefore found as follows;
f(x) = y = 6 - 3·x
f(0) = 6 - 3×0 = 6
The initial value of Function A, f(0) = 6
Similarly, the initial value, (y-intercept) of Function B, f(0) is found as follows;
f(x) = y = 6·x + 3
f(0) = 6×0 + 3 = 3
The initial value of the Function B, f(0) = 3
Therefore, we have that Function A has a greater initial value than Function B
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what is the volume of the cube if one side is equal to 6 cm
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Answer:
The volume is 216 cm³
Step-by-step explanation:
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What is 3/4 divided by 2
Answers
Answer:
[tex] \frac{3}{8} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \div 2 \\ \\ = \frac{3}{4} \times \frac{1}{2} \\ \\ = \frac{3 \times 1}{4 \times 2} \\ \\ = \frac{3}{8} [/tex]
You collect a random sample of size n from a population and calculate a 98% confidence interval. Which of the following strategies produces a new confidence interval with a decreased margin of error?
A: Use a 99% confidence level.
B: Use a 95% confidence level.
C: Decrease the sample size.
D: Use the same confidence level, but compute the interval n times. Approximately 2% of these intervals will be larger.
E: Nothing can guarantee that you will obtain a larger margin of error. You can only say that the chance of obtaining a larger interval is 0.02.
Answers
Answer:
B: Use a 95% confidence level.
Step-by-step explanation:
In the case when the random sample size from a population is collected and it determined the 98% confidence interval so that decrease the margin of error is to use a 95% confidence interval as it is needed to have a less critical value
So according to the given options, the option B is correct
Can anybody help me with these, they're awfully confusing.
Answers
Answer:
20) a) 6.8 b) 7
21) a) 26.2 b) 26
22) a) -7.8 b) -8
23) a) -10.2 b) -10
24) a) 2.6 b) 3
25) a) -12.9 b) -13
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15) Not a real number
16) Real number
Explanation
In order to find the estimated integer of a square root, you simply find the perfect squares closest to the specified square root. For example, the closest perfect squares to [tex]\sqrt{46}[/tex] are [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex]. Now, we need to find which perfect square is the closest between those two. 46 and 36 have a difference of 10, while 46 and 49 have a difference of 3. So, we know that 49 is the closest perfect square. Now, we simplify
find the value of given expression
[tex] \sqrt{312 \times 312} [/tex]
Answers
Step-by-step explanation:
[tex]
\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312
[/tex]
Hope it will help :)❤
Answer:
√{312×312}=√312²=±312 is your answer
answer these 4 questions
Answers
Answer:
11) A=84.7m²
12) A=75.2km²
13) A=28.05ft²
14) A=48yd²
Step-by-step Explanation:
11) A = 1/2(bh)
A = 1/2(14×12.1)
A = 1/2(169.4)
A = 84.7m²
12) A = 1/2(bh)
A = 1/2(16×9.4)
A = 1/2(150.4)
A = 75.2km²
13) A = 1/2(bh)
A = 1/2(5.1×11)
A = 1/2(56.1)
A= 28.05ft²
14) A = 1/2(bh)
A = 1/2(16x6)
A = 1/2(96)
A = 48yd²
Answer:
11) A=84.7m²
12) A=75.2km²
13) A=28.05ft²
14) A=48yd²
Step-by-step explanation:
Find the X & Y value
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Answer:
Step-by-step explanation:
x = 72°
y = 61°
What is 7/10 of 650?
Answers
Answer:
455
Step-by-step explanation:
I answered first, but forgot to answer here.
33333333333333333333333333333
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Answer: All three methods would be easy and effective
Step-by-step explanation:
Joon is buying lotion for her mom's birthday. The lotion was originally priced at $18 but is now on sale for 20% off. How much will Joon pay for the lotion?
Answers
Answer:
Discount price= $14.4
Step-by-step explanation:
Giving the following information:
Original selling price= $18
Discount rate= 20% = 0.2
To calculate the discount price, we need to use the following formula:
Discount price= selling price * (1 - discount rate)
Discount price= 18 * (1 - 0.2)
Discount price= $14.4
What two numbers multiply to get 7 and add to get -8
Answers
Answer:
-7 and -1
Step-by-step explanation:
-7x-1=7
-7-1=-6
-7 and -1
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Answers
Answer:
Step-by-step explanation:
when 1/2 inch equals 4 feet the room is 2.25 inches, then
2 1/4 = 8/4 + 1/4 = 9/4
9/4 inches is the scale distance of the room
each 1/2 inch is 4 feet so divide 9/4 by 1/2 then multiply that by 4 to find the distance of the room
9/4 ÷ 1/2 = 9/4
9/4 * 2/1 = 18/4
18/4 = 9/2
9/2 * 4 feet = 9/2 * 4/1
9/2 * 4/1 = 36/2
36/2=18
the room is 18 feet across
then if the scale is 2/3 of an inch is 4 feet , then
2/3 * 9/4 = 18/12
18/12 = 3 inches is the scale size of Quinto's room
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B= 70 and 74
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Answers
Answer:
b
Step-by-step explanation:
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Answers
260-135=125 pounds
Therefore Heather weighs 125 pounds
Answer:
subtract 260-135=120
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Worked it out
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I need this by tonight
Answers
Answer:
Let's solve your equation step-by-step.
x
15
=
3
5
Answer:
x=9
Step-by-step explanation:
A test of a new car results in 370 miles on 10 gallons of gas. How far could you drive on 65 gallons of gas?
Show your work
Answers
Answer:
2405 miles
Step-by-step explanation:
370÷10 = 37
37×65 = 2405
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Answers
Answer:
90% sure it's 5/7
Step-by-step explanation:
Using Pascal triangle, write down the binomial expansion of
[tex] {(1+y)}^{8} [/tex]
simplifying all the terms.
Answers
Answer:
1 + 8y + 28y² + 56y³ + 70[tex]y^{4}[/tex] + 56[tex]y^{5}[/tex] + 28[tex]y^{6}[/tex] + 8[tex]y^{7}[/tex] + [tex]y^{8}[/tex]
Step-by-step explanation:
For the expansion of [tex](1+y)^{8}[/tex]
Using the row of Pascal's triangle for n = 8 , that is the coefficients are
1 8 28 56 70 56 28 8 1
Decreasing powers of 1 from [tex]1^{8}[/tex] to [tex]1^{0}[/tex]
Increasing powers of y from [tex]y^{0}[/tex] to [tex]y^{8}[/tex]
Then
[tex](1+y)^{8}[/tex]
= 1 . [tex]1^{8}[/tex].[tex]y^{0}[/tex] + 8. [tex]1^{7}[/tex].[tex]y^{1}[/tex] + 28. [tex]1^{6}[/tex].y² + 56. [tex]1^{5}[/tex].y³ + 70. [tex]1^{4}[/tex].[tex]y^{4}[/tex] + 56. 1³.[tex]y^{5}[/tex] + 28. 1².[tex]y^{6}[/tex] + 8. [tex]1^{1}[/tex].[tex]y^{7}[/tex] + 1. [tex]1^{0}[/tex].[tex]y^{8}[/tex]
= 1 + 8y + 28y² + 56y³ + 70[tex]y^{4}[/tex] + 56[tex]y^{5}[/tex] + 28[tex]y^{6}[/tex] + 8[tex]y^{7}[/tex] + [tex]y^{8}[/tex]
Answer:
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Given binomial
(1 + y)⁸Expanding using Pascal triangle (attached)
Replace a and b with y and 1 in the bottom row of the triangle
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a. y=2+3x
b. y=2x(x - 5) - 2x2
C. y=4x2
d. y= 500
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Answers
Answer:
A, b, c, y are linear becouse every value of domain has one value in range
Step-by-step explanation:
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
-18+x=-x+12
This one ??
Answers
Answer:
X = 15
Step-by-step explanation:
Let's solve your equation step-by-step.
−18+x=−x+12
Step 1: Simplify both sides of the equation.
x−18=−x+12
Step 2: Add x to both sides.
x−18+x=−x+12+x
2x−18=12
Step 3: Add 18 to both sides.
2x−18+18=12+18
2x=30
Step 4: Divide both sides by 2.
2x/2 30/2 = 15
WILL MAKE BRAINLIST!!!!!!
Explain when you should reverse the inequality symbol when solving an equality.
Answers
Answer:
To do this, subtract 6 from both sides. − 3_x_ + 6 − 6 > 12 − 6. −3_x_ > 6. Now divide both sides of the inequality by −3. Since you're dividing by a negative number, you need to flip the inequality sign.
Step-by-step explanation:
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Answers
Answer:
3/10,3/8,27%,0.34
Step-by-step explanation:
Answer:
27%, 3/10, 0.34, 3/8
Step-by-step explanation:
I just made them all decimals (same as percent)
3/10=0.30
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suppose the expression was (12-3) to the second power would you have to still simplify 3 to the second power first explain
Answers
You would take which ever number is taken to the power sat it was 12 to the power of 2+4, you would take the 12 not the 4, Hope this helps!
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Answers
72038302229877777389Step-by-step explanation:
HELPPPPP PLSSSSSSSSSWSSSS
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Answer:
D.
Hope that helps!
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
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Order the ANGLES in each triangle from SMALLEST to largest.
Answers
Answer:
S,R,Q
Step-by-step explanation:
ABC is reflected over the y-axis what are the vertices of A'B'C'
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Answer: It is D
Step-by-step explanation: its is the placement Pretty basic.
Answer: D
Step-by-step explanation:
ap3x verified!!!
Two trains, train a and train , weigh a total of 466 tons. Train A is heavier than train b. The difference of there weights is 326 tons. What is the weight of each train
Answers
Answer: A = 396 tons
B = 70 tons
Step-by-step explanation:
From the question,
Weight of A + Weight of B = 466
Weight of A - Weight of B = 326
A + B = 466 ......... i
A - B = 326 ..........ii
Subtract equation ii from I
2B = 140
B = 140/2
B = 70 tons
A = 466 - 70
A = 396 tons