Answer:
.
Step-by-step explanation:
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
Answer:
[tex]d=\frac{3}{2}=1.5[/tex]
Step-by-step explanation:
We have the function:
[tex]y=a(x-2)(x-1)[/tex]
And we want to find x=d for which the minimum/maximum value will occur.
Notice that our function is a quadratic in factored form.
Remember that the minimum/maximum value always occurs at the vertex point.
And remember that the x-coordinate of the vertex is the axis of symmetry.
Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.
Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.
Our factors are (x-2) and (x-1).
Therefore, our roots/zeros are x=1, 2.
So, the average of them are:
[tex]d=\frac{1+2}{2}=3/2=1.5[/tex]
Therefore, regardless of the value of a, the minimum/maximum value will occur at x=d=1.5.
Alternative Method:
Of course, we can also expand to confirm our answer. So:
[tex]y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a[/tex]
The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.
And the formula for the vertex is:
[tex]x=-\frac{b}{2a}[/tex]
So, we will substitute -3a for b and a for a. This yields:
[tex]x=-\frac{-3a}{2a}=\frac{3}{2}=1.5[/tex]
Confirming our answer.
answer the question correctly.
Answer:
the answer is 10 to the tenth power or 10000000000
Step-by-step explanation:
this isn't a test I'm just trying to make up some missing work and this one really confuses me if you guys could explain it the question is in the screenshot I linked to this question
Answer:
They are saying that they have this conference room mapped out on a poster board kinda like a road map. But if you put something that big on a board it wont fit. So they had to make it small enough to fit it. When they say that 1/2 on the board is equal to 12 feet in the real room, They are tell you the scale you have to go by. So then they give you 3 1/2 inches on the board. You would see how many 1/2 inches there are in 3 1/2, which is 7, and multiply 7 by 12. The answer would be 84 feet. So they are say that 3 1/2 inches on the poster board, represents 84 feet in the real room.
Step-by-step explanation:
This unit, you have learned several formulas and equations. Match the formula or equation with what the answer represents.
1.______
100% + percent = or
100% - percent =
2._______-
original x percent =
*when the percent is written as a decimal
3._____
original x (1.00 + percent) = or
original x (1.00 - percent) =
*when the percent is written as a decimal
4.________
new - original x 100% =
___________
original
5._________
| measured - actual | x 100% =
______________
actual
6.
measured - actual =
__________________________________________________________________
Column B
a.formula to find error
b.total change in the percent
c.formula to find the percent of change when given two numbers
d.amount something increases or decreases
e.equation to find the total amount
f.formula to find percent of error
Answer:
.
Step-by-step explanation:
.
Correct answer will get brainliest!! A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume?
The volume should be 720.
Given that,
A rectangular prism has dimensions of 8 cm by 9 cm by 10 cmBased on the above information, the calculation is as follows:
[tex]Volume = 8\times 9\times 10[/tex]
= 720
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Arrange these decimals from least to greatest.
0.56, 0.60, 0.056, 0.060, 6.00
0.056, 0.060, 0.56, 0.60, 6.00
6.00, 0.60, 0.56, 0.60, 0.056
6.00, 0.56, 0.060, 0.6, 0.056
25.
Arrange these decimals from least to greatest.
-6.00, -0.56, -0.060, -0.6, -0.056
-0.6, -0.56, -0.056, -0.060, -6.00
-6.00, -0.6, -0.56, -0.060, -0.056
Answer:
0.056, 0.056, 0.056, 0.060, 0.060, 0.060, 0.56, 0.56, 0.56, 0.6, 0.6, 0.6, 6.00, 6.00, 6.00
Step-by-step explanation:
Answer:
0.056, 0.056, 0.056, 0.060, 0.060, 0.060, 0.56, 0.56, 0.56, 0.6, 0.6, 0.6, 6.00, 6.00, 6.00
Step-by-step explanation:
Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate.
What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?
Choose 1 answer:
(Choice A)
A
14:6
(Choice B)
B
3:24
(Choice C)
C
14:3
(Choice D)
D
24:3
Which of the following numbers does not round to the same number as the others? 5one-fifth, 4Start Fraction 5 over 6 End Fraction, 5start fraction 6 over 7 end fraction, 4start fraction 11 over 12 end fraction
Answer:
It increases
Step-by-step explanation:
(5/x) + 5
As x decreases, 5/x increases. So the expression increases.
Answer:
It increases
Step-by-step explanation:
sry for my last awser ive been reseachering it and finally got a awser. lol
Can someone please give me an answer.
The answer is y=5x-75 or B
There are four defenders on a soccer team. If this represents 20 percent of the players on the team, which equation can be used to find the total number of players on the team?
Answer:
D
Step-by-step explanation:
With that equation, you can find the total number of soccer players because it's out of 100
Hope this helps!
Answer:
the one you selected is correct
Step-by-step explanation:
What times 20 gets you to 100. 5 so divide 5 from top and bottom to get $ over 20. 4 is 20% of 20
The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (,) and (,) to find the number of soda bottles the machine can make each minute. Number of Soda Bottles Made 0 2 4 6 8 10 0 100 200 300 400 500 Time (minutes) Number of Soda Bottles A coordinate plane titled Number of Soda Bottles Made is shown. A horizontal axis is labeled Time (minutes) from 0 to 10. A vertical axis is labeled Number of Soda Bottles from 0 to 500. A line rises from left to right starting at the origin, (0, 0), and passes through plotted points (4, 200) and (8, 400). The machine can make nothing soda bottles each minute.
Answer: The machine can make 50 soda bottles each minute
You may determine the slope of the line by determining the rise and the run using two of the line's points.
What is Slope of the line?A line's slope is the change in y coordinate in relation to the change in x coordinate. The net change in y-coordinate is denoted by y, while the net change in x-coordinate is denoted by x. Where "m" represents the slope of a line. As a result, tan represents the slope of a line. Calculate the difference in y-coordinates between these two points (rise). Determine the x-coordinate difference between these two points (run). Divide the y-coordinate difference by the x-coordinate difference (rise/run or slope). The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).Therefore,
You may determine the slope of the line by determining the rise and the run using two of the line's points. The rise and the run are terms used to describe changes in height between two points. Rise divided by Run gives you the slope. Run = rise + slope Rise + run = slope.
Variety of Slope:
Undefined visual description: vertical
Unfavourable : downhill
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If 4.5 > -4.5, how are the positions of the two numbers related on the horizontal number line?
Answer:
The two positions on the number line are opposites.
Step-by-step explanation:
They are the same distance from zero on the number line.
Answer:
Step-by-step explanation:
+4.5 is to the right of -4.5.
Use this inequality to answer the question: 0.08g + 0.2 < 5 Which set of values contain possible solutions for g?
A- {25, 40, 65}
B- {29, 43, 59}
C- {31, 47, 60}
D- {44, 54, 64}
Answer:
SEE IN THIS U WILL GET THE ANSWER
The set of values {29, 43, 59} contain possible solutions for g option (B) {29, 43, 59} is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The inequality is:
0.08g + 0.2 < 5
Plug g = 29
0.08(29) + 0.2 < 5
2.52 < 5 (True)
Plug g = 43
0.08(43) + 0.2 < 5
3.64 < 5 (True)
Plug g = 59
0.08(59) + 0.2 < 5
4.92 < 5 (True)
Thus, the set of values {29, 43, 59} contain possible solutions for g option (B) {29, 43, 59} is correct.
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Which term best describes the graph of y = –2?
increasing
decreasing
constant
positive
Answer:
It would be constant.
Step-by-step explanation:
Since there is no x value, the line will have no slope and just be horizontal about y= -2.
If we draw the graph we will see that the function is a straight line parallel to the x-axis.
The graph y = -2 is best described as a constant function.
Option C is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
A function:
y = -2
To graph the function we will find the coordinates of the function y = -2.
For x = 0,
y = -2
For x = 1,
y = -2
For x = 2,
y = -2
For x = 3,
y = -2
We will see that for all x values the y value is -2.
If we draw the graph we will see that the function is a straight line parallel to x-axis.
Thus,
The graph y = -2 is best described as a constant function.
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Which is a better deal?
Brand A $3.75 for 20oz
Brand B $4.50 for 30oz
Answer:
B
Step-by-step explanation:
-3 5/6 + 1 1/10 the answer needs to be a mixed number in the simplest form
Answer:
−2 11/15
Step-by-step explanation:
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
a one and ten forty eighths ounces
b one and three fourteenths ounces
c two and ten forty eighths ounces
d two and three fourteenths ounces
Answer:
(A) [tex]1\frac{10}{48}[/tex]
Step-by-step explanation:
To find how many chocolate chips are left, you have to subtract the amount used for the recipe from the original amount which is:
[tex]5\frac{7}{8} -4\frac{4}{6}[/tex]
To subtract the two mixed numbers, first you have to convert them to improper fractions which would make the expression:
[tex]\frac{47}{8}-\frac{28}{6}[/tex]
Then, in order to subtract the two improper fractions, since they have different denominators, you have to make them have the same denominator. The LCM (Least Common Multiple) of 8 and 6 is 24, so to subtract the two fractions, you need both of them to have a denominator of 24. That would make the expression:
[tex]\frac{141}{24}-\frac{112}{24}[/tex]
To subtract these two fractions, since they have the same denominators, you can subtract the numerators and keep the denominators. That would make the answer:
[tex]\frac{29}{24}[/tex] which is, as a mixed number, [tex]1\frac{5}{24}[/tex], which is [tex]1\frac{10}{48}[/tex].
Hope this helps :)
Write an EQUATION for the nth term of each arithmetic sequence
15,13,11,9,...
If you make $28 dollars and hour and work for 32 hours in a week. How much money do you Gross ?
Do i divide the 28 to the 32?
need help with this pls
Answer:
Soo I looked it up on google and I got...
Step-by-step explanation:
1.898e+30
Sorry if this is wrong :/
Please help I’m so lost (´༎ຶོρ༎ຶོ`)
Answer:
A
Step-by-step explanation:
y-intercept for f(x) is (0,2) and y-intercept for g(x)= (0,8)... whch makes y-intercept for f(x) less than y-intercept for g(x)
I DID IT AGAIN AND I FOUND OUT THAT ITS A IM SO SORRY
Sorry but I need help once again.. -w-
Answer:
1:x=10
Step-by-step explanation:
Step 1: Add 5 to both sides.
2/5x-5+5+-1+5
2/5x=4
Step 2: Multiply both sides by 5/2.
(5/2)*(2/5x)=(5/2)*(4)
x=10
A cell phone costs $120. The price is reduced 30% for a sale. How much is the savings?
Answer:
the phone is 84 dollalrs
Step-by-step explanation:
Answer:
$36
Step-by-step explanation:
Since 30% = 30/100 then we can transform it into a decimal:
30%=0.30
Now if we multiply 120•0.30, we will get how much we saved.
$36, we saved $36.
Bonus information:
If the problem was to say "How much does the cell phone cost after the discount?", then you would multiply 120•0.70.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Daniel buys a video game for $48.50. He must pay 6% sales tax. How much tax must Daniel pay?
he would pay 51.41
take 48.50 times by .06 (tax)
you would get 2.91
add 48.50 + 2.91 which equals 51.41
Answer:
$51.41
Step-by-step explanation:
48.50 x .06 2.91 then, add 48.50 + 2.91 which equals 51.41.
A measuring scoop holds 10 cm3 of flour. Brandon's bag of flour contains 90 scoops. How many cakes can Brandon bake with his flour if his recipe calls for 180 grams of flour per cake? 1 cm3 of flour weighs 0.6 grams.
The number of cakes that Brandon can bake with his flour given the recipe is 8.
How many cakes can he bake?The first step is to determine the total cm³ of flour that is the bag of flour: 10cm³ x 90 = 900 cm³
Now, convert the answer gotten above to grams:
900 / 0.6 = 1500
The last step is to divide 1500 by 180
1500 / 180 = 8 cakes
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Answer:
3 cakes
Step-by-step explanation:
First we'll do 10·90=900
Then we'll take the 900 and multiply-- careful not to divide!-- it by 0.6 to get 540
Finally, 540÷180=3
3 cakes will be baked
Hope this helps!
pleasee hellp this is due today
Answer:cccc
Step-by-step explanation:
fcv
Explain how the activity supports the skill.
Activity- Soccer
Skill- Reaction time
Answer:
If a ball was coming at you while playing SOCCER you can REACT fast and it will not hit you.
brainilist to first person to answer this question correctly
I would choose -95 because it is near
Hope this helps :)
Answer:
I believe the one's that apply are 25*c and 0*c, since there are the numbers between -93.9 and 64.96
Step-by-step explanation:
I could be wrong but it says that all temperatures between those two are liquid form, and the question is directly asking at what temperature's will methanol be in liquid form
Which expression is not equivalent to 12x + 18y?
Question 2 options:
6(2x) + 18y
6(2x + 3y)
6x + 9y + 6x + 9y
3(4x + 18y)
Answer:
the last one 3(4x+18y)
please help i forgot how to do thiss ill give brainliest
Answer:
.
Step-by-step explanation: