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Related Questions
Using a minimum of two sentences, describe how to write the function, f(x) = (x 2)2 - 3, in standard form.
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The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c
The standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
The function is given as:
[tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex]
Factor out (x - 2)^2
[tex]\mathbf{f(x) = (x - 2)(x - 2) - 3}[/tex]
Expand the expression
[tex]\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}[/tex]
Simplify the like terms i.e. add -2x and -2x
[tex]\mathbf{f(x) = x^2 - 4x + 4 - 3}[/tex]
Simplify the like terms i.e. add 4 and -3
[tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
Hence, the standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
Read more about standard form at:
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Answer:
the one above is all right except its a positive 4x, the question was
f(x) = (x + 2)2 - 3
not
f(x) = (x - 2)2 - 3
the real answer is: f(x) = x^2+4x+1
PLSSSSS I REALLY NEED HELP IT IS DUE VERY SOON AND THIS IS MY LAST QUESTION I AM BEGGING EXTRA POINTS WILL BE INCLUDED FOR WHOEVER ANSWERS! GRAPH AND TABLE INCLUDED! the graph shows the relationship between the distance that a snail crawls and the time that it crawls. a. Use the points on the graph to make a table. b. Write the equation for the relationship and tell what each variable represents.
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Answer: y=10x
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is y=1x+2
|2x + 6| = 16
plsss helppp
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Answer:
x = 5
Step-by-step explanation:
|2x + 6| = 16
=> 2x + 6 = 16
=> 2x = 16 - 6
=> 2x = 10
=> x = 5
Hoped this helped.
2x +6 = 16
-6 -6
2x = 10
/2 /2
X=5
Do you know the answer for this?????
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Answer:
3a
Step-by-step explanation:
9÷3=3
a³-a²=a¹ or just a
b-b= 0
= 3a
Hope this helped you- have a good day bro cya)
HI GUYS COULD YOU PLEASE HELP ME WITH THIS TYSM
Answers
Answer:
-13
Step-by-step explanation:
2(-2)-3(3)=
-4-9=
-13
Because a minus x a positive is a minus and a positive x a positive is a positive
3. At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
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Step-by-step explanation:
x = one deposit of Sheila
x + 10 = one deposit of Sherri
so,
6x = 5(x + 10) = 5x + 50
x = 50
x + 10 = 60
so, as check, the original equation must be true for these values :
6×50 = 5×(50 + 10) = 5×60
300 = 300
correct.
Sheila deposited 6 times $50 every time. so, in total, she deposited $300.
Sherri deposited 5 times $50+$10 = $60 every time. so, in total, she too deposited $300.
9.2 less than 3 times a number is the same as 2114.What is the number?
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Answer:
707.7
Step-by-step explanation:
3x-9.2 = 2114
2114+9.2 = 2123.2
3x = 2123.2
x = 707.7
Answer:
10.15
Step-by-step explanation:
3x-9.2 = 21.25
3x = 30.45
x = 10.15
Find the perimeter. Simplify your answer.
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Answer:
p=1 2 + 2
Step-by-step explanation:
Describe the steps you used to solve the equation and find the amount of Carrie’s allowance.
Linear equation:
1/4a+ 1/3 a + 8 = 22
Answers
1/4 x 3/3 = 3/12
1/3 x 4/4 = 4/12
New Equation:
3/12a + 4/12a + 8 = 22
now add up similar terms
7/12a + 8 = 22
subtract 8
7/12a = 14
multiply each side by your denominator
12(7/12)a=12(14)
7a=168
divide by 7
a = 24
What is the Value of (-0.5) (-7.0)?
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the answer is (-0.5) (-7.0)= 3.5
How to find slope intercept form without a point.
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Because you would be getting both those points and subtracting them y would be your numerator and x would be your denominator
7th grade math help...
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Answer:
a= 11/30
Step-by-step explanation:
Divide the 5 1/2 miles by the 15 minutes
5.5/15= .36
.36 = 11/30
5 900 rounded to the nearest thousand
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Answer:
6000
Step-by-step explanation:
9>5 so round up
6000
Graph the equation on the coordinate plane using the slope and y-intercept.
y=−2x
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Answer:
Step-by-step explanation:
what is 18,678,789 times 67,897,867
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What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.
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Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Slope = (4-7)/(7-1)
Slope = -3/6
Slope = -1/2
1/2divided by 4/9 and its answer write it in a mixed fraction
Answers
Answer:
1 1/8
Step-by-step explanation:
1/2 ÷ 4/9
= 1/2 × 9/4
= 9/8
= 1 1/8
Answer:
[tex]1\frac{1}{8}[/tex]
Step-by-step explanation:
hope this helps have a good rest of night :)❤
Solve the slope for the table.
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Answer:
The slope is 0
Step-by-step explanation:
All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.
A path is made of red tiles and blue tiles.
1/5of the tiles are red.
a) Write down the ratio of red tiles to blue tiles in its simplest form.
There is a total of 85 tiles.
b) Work out the number of blue tiles.
(2)
Total marks: 3
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Answer: 17 red , 68 blue
Step-by-step explanation:
85 divided by 5=17
1/5 of 85=17
17x4=68
4/5 of 85=68
(1). The ratio of red tiles to blue tiles is [tex]\frac{1}{4}[/tex]
(2). The number of blue tiles are 68.
Fraction:It is given that,
A path is made by red and blue tiles and [tex]\frac{1}{5}[/tex] part of tiles are red.
So that,
Blue tiles[tex]=1-\frac{1}{5} =\frac{4}{5}[/tex] parts.
The ratio of red tiles to blue tiles in its simplest form,
[tex]\frac{Red}{Blue}=\frac{1}{5}*\frac{5}{4} \\\\\frac{Red}{Blue}=\frac{1}{4}[/tex]
Since, total number of tiles are 85.
Number of blue tiles[tex]=\frac{4}{5} *85=68[/tex]
Learn more about the fraction here:
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A baseball tournament begins with 128 teams. After each round of games, only half of the teams are left. How many teams will be left after four rounds of games?
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Answer:
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
answer is 8
Ana is a teacher who plays a review game with her class. The game involves writing each student's name on
an identical slip of paper and selecting students at random. Here's the makeup of her class:
Grade
9th 10th 11th
Number of students
12. 9. 7.
Suppose that Ana picks a name, replaces it, and picks a name again.
What is the probability that NEITHER of the students selected are
9th graders?
Round your answer to two decimal places.
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Answer:
P(Neither 9th grade)=16/28*16/28=16/28*16/28=(16/28)^2=256/784≈0.3265
Answer:
The probability that neither of the students selected are 9th graders is about 0.33.
Step-by-step explanation:
Pls give brainliest
Probabilities are used to determine the chances of events
The probability that neither of the students is a 9th grader is 0.33
From the table, the number of students that are not 9th graders are:
[tex]N9 =9 + 7[/tex]
[tex]N9 =16[/tex]
The total number of students is:
[tex]Total =12 + 9 + 7[/tex]
[tex]Total =28[/tex]
The probability that neither of the students is a 9th grader is calculated as follows
[tex]P =P(N9) \times P(N9)[/tex]
So, we have:
[tex]P =\frac{16}{28} \times \frac{16}{28}[/tex]
Multiply
[tex]P =\frac{256}{784}[/tex]
Divide and approximate
[tex]P =0.33[/tex]
Hence, the probability that neither of the students is a 9th grader is 0.33
Read more about probabilities at:
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There are 3 green balls, 5 red balls and 2 blue balls in a box. One ball is randomly drawn, replaced and then another ball is drawn.
What is the probability of getting a green ball then a blue ball?
115
12
350
3100
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Answer:
D / 350
Step-by-step explanation:
3/10 x 2/10= 6/100=3/50
so yah!
A boat can travel 16 Kilometers per hour in still water. The boat travels 15 kilometers down a river and then 15 kilometers up stream. The entire trip takes 5.5 hours. Which equation describes the current, c, of the river?
a)
[tex] \frac{16}{15 + c} + \frac{16}{15 - c} = 5.5 [/tex]
b)
[tex] \frac{5.5}{16 + c} + \frac{5.5}{16 - c} = 15 [/tex]
c)
[tex] \frac{5.5}{15 + c} + \frac{5.5}{15 - c} = 16 [/tex]
d)
[tex] \frac{15}{16 + c} + \frac{15}{16 - c} = 5.5[/tex]
Answers
Answer:
d)
Step-by-step explanation:
the sites of the boat alone is 16 km/h.
downstream and upstream the effective speed is then influenced plus and minus by the current.
the distance traveled is 15km.
as speed = distance/time
then distance / speed = distance / (distance/time) = time
and we know the time it takes : 5.5 hours.
so, only answer d uses the right values in the "right places".
Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?
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Answer:
390 minutes I do believe.
Step-by-step explanation:
please need complete solution :(
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1) Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. So, the linear inequality in 2 variables here is :- b) 3x + y > 4.
2) Linear functions are those whose graph is a straight line. Here, the linear function is :- d) f(x) = 4x + 3.
3) c) Relation is the set of all y such that y is an element of the real numbers.
4) Complementary angles make c) 90°.
5) d) Supplementary angles form 180°.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Kate is selling jars of homemade pickles (p) and jars of relish (r). She has enough cucumbers for at most 50 jars of her products. The pickles sell for $6 per jar, and the relish sells for $4 per jar. She needs to make at least $260. When modeling this situation with a system of inequalities, which statements are true? A) p + r ≤ 50 6p + 4r > 260 B) p + r ≥ 50 6p + 4r ≥ 260 C) p + r ≤ 50 6p + 4r ≥ 260 D) p = 32 and r = 18 is a solution to the system. E) p = 28 and r = 22 is a solution to the system.
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Answer:
C and E
Step-by-step explanation:
I just took the test and it said so.............................................................A mural's height is 2 1/4
meters. Which of the following is equivalent to 2 1/4 meters?
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Answer:
you didnt give any options
a factory makes lightbulb's out of 400 light bulbs 18 were found to have defective filaments
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Answer: If you are asking for percentage, 18/400 bulbs were defective. In other words, 4.5% of bulbs were defective. This also means that 95.5% of bulbs were not defective.
Would appreciate brainly <3
6×6√3 what is the area
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Answer:
For which shape ?! You need to know the rule.
Pls help ::::………..
——-////
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Answer:
you will have $133920 intrest monthly and $151920 in the bank
Step-by-step explanation:
Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.