What is the vertex form of f(x)?
What is the minimum value of f(x)?
f(x)=x^2-6x+16
CDs and DVDs Solve by setting up a system of linear equations with 2 variables and 2 unknowns. CDs cost $5.96 more than DVDs at All Bets Are Off Electronics. How much would 6 CDs and 2 DVDs cost if 5 CDs and 2 DVDs cost $127.73?
The relationship between the total cost and the costs of CDs and DVDs are represented by a linear function.
The cost of 6 CDs and 2 DVDs is $147.68
Let:
[tex]C \to CDs[/tex]
[tex]D \to DVDs[/tex]
From the question, we have:
[tex]C = D + 5.96[/tex]
[tex]5C + 2D = 127.73[/tex]
Substitute [tex]C = D + 5.96[/tex] in [tex]5C + 2D = 127.73[/tex]
[tex]5 \times (D + 5.96) + 2D = 127.73[/tex]
[tex]5D + 29.8 + 2D = 127.73[/tex]
Collect like terms
[tex]5D + 2D = 127.73 - 29.8[/tex]
[tex]7D = 97.93[/tex]
Divide both sides by 7
[tex]D = 13.99[/tex]
Substitute [tex]D = 13.99[/tex] in [tex]C = D + 5.96[/tex]
[tex]C = 13.99 + 5.96[/tex]
[tex]C = 19.95[/tex]
The cost of 6 CDs & 2 DVDs is represented as:
[tex]Cost =6C + 2D[/tex]
So, we have:
[tex]Cost =6 \times 19.95 + 2 \times 13.99[/tex]
[tex]Cost =147.68[/tex]
Hence, the cost of 6 CDs & 2 DVDs is $147.68
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Which points in the scatter plot are outliers?
Select EACH CORRECT ANSWER
point A
point F
point H
point K
point M
Three numbers are in the ratio of 6:5:1. What are the numbers if the difference between the smallest and largest is 30?
a.48, 40, 18B.36, 30, 6
c.24, 20, 4D.180, 150, 30
What is the least common multiple of 19 and 38?
can someone please help ill try to add the picture
The local grocery store wants to know if the shoppers prefer Crest or Colgate toothpaste. The store gives all of its shoppers a value saver card, then uses a random number generator to select 30 card numbers and surveys those shoppers. Is this sampling method representative of the entire population and explain?
A. No, some shoppers may not buy toothpaste there.
B. Yes, all shoppers have a value card and the shoppers interviewed were chosen by a random number generator.
C. No, need a bigger sample.
D. No, the store should only ask women.
No, some shoppers may not buy toothpaste there.
The answer is option A.
What is an example of a word problem?Word problems normally include mathematical modeling questions, where records and information approximately a positive machine is given and a student is needed to expand a model. For example, Jane had $5.00, then spent $2.00. How much does she have now?
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Which story problems could be solved using the given equation? 6 divided by 1/2 = ? Choose exactly two answers that are correct.
A.
Mike spends a hour reading every night before bed. How many hours does Mike spend reading before bed in 6 days?
B.
Alice has 6 yards of ribbon. She uses yard of ribbon for each package she’s wrapping. How many packages can Alice wrap?
C.
A cup of milk is used for every serving in a recipe. How many servings can be made with 6 cups of milk?
D.
Charlie spent of his savings on 6 equally priced admission tickets to the zoo. What fraction of his savings did Charlie spend on each ticket?
The coordinate values of the vertices of △klm are integers. triangle klm has vertices located at (1, 1), (5, 4) and (5, 1). which set of coordinate pairs could represent the vertices of a triangle congruent to △klm?
The distance
between two points (x₁,y₁),(x₂,y₂) = d
[tex]d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} } [/tex]
Please help
What is mC?
A. 48
B. 77
C. 110
D. 180
The [tex]\angle[/tex]C is [tex]77^o[/tex] in the triangle ABC inscribed in the circle as evident from the figure.
A triangle is a polygon with three angles, three edges, and three vertices. It's one of the most introductory and abecedarian shapes in geometry.
Triangles can be classified by their side lengths, their angles, or their symmetry.
As the angle on the circumference is double the angle on the semicircle,
therefore,
[tex]\angle[/tex]B = [tex]\frac{110^o}{2}[/tex]
= [tex]55^o[/tex].
As the sum of a triangle is [tex]180^o[/tex],
So,
[tex]\angle[/tex]A + [tex]\angle[/tex]B + [tex]\angle[/tex]C = [tex]180^o[/tex],
Given that [tex]\angle[/tex]A = [tex]48^o[/tex],
[tex]48^o[/tex] + [tex]55^o[/tex] + [tex]\angle[/tex]C = [tex]180^o[/tex],
[tex]\angle[/tex]C = [tex]180^o[/tex] - [tex]48^o[/tex] - [tex]55^o[/tex],
[tex]\angle[/tex]C = [tex]77^o[/tex]
So, the [tex]\angle[/tex]C is [tex]77^o[/tex].
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What is the y-intercept of the equation 5x - 6y = 18?
A.-6
B. -3
C .5
D. 18
The y-intercept is for x = 0.
Put the value of x = 0 to the equation 5x - 6y = 18:
5(0) - 6y = 18
0 - 6y = 18
-6y = 18 divide both sides by (-6)
y = -3 → B.Find the point on the curve y = √ 2 x + 4 which is closest to the point ( 3 , 0 ) .
Compute the area of a triangle with sides. 15 × 15 × 18
The radius of a circular clock face is 13 centimeters. how do i find the circumfrence
Hence, the circumfrence is [tex]81.64[/tex].
What is the circumference?
Circumference is the distance around a circle. We can find the circumference using either the diameter or radius of a circle. For shapes made of straight lines, we say they have a perimeter.
Here given that,
The radius of a circular clock face is [tex]13[/tex] centimeters.
The general formula of circumference of a circle is [tex]2\pi r[/tex].
As, [tex]r=13cm[/tex]
Substitue these values in the general formula then,
[tex]2\pi r=2(3.14)(13)\\\\=81.64[/tex]
Hence, the circumfrence is [tex]81.64[/tex].
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In the school band there are 4 trumpet players and f flute players. The total of trumpet and flute players is 12. Are there twice as much flute players as trumpet players? Explain.
Please help me really plz help i need it!
Thanks to those who took time for this....
yes there is because there is 8 flute players and there are 4 trumpets and 8 is double then 4
1. Simplify and state any excluded values [tex]\frac{c-5}{c^2-25} [/tex].
For this case we have the following expression:
[tex] \frac{c-5}{c^2-5} [/tex]
To simplify the expression, the first thing to do is factor the denominator.
We have then:
[tex]\frac{c-5}{(c-5)(c+5)}[/tex]
Then, canceling similar terms we have:
[tex]\frac{1}{(c+5)}[/tex]
From here, we must find any value that should be excluded from the expression.
We must exclude values of c that make the denominator equal to zero.
We have then:
[tex] c+5=0
c=-5 [/tex]
Answer:
The simplified expression is:
[tex]\frac{1}{(c+5)}[/tex]
The value to be excluded from the expression is:
[tex] c=-5 [/tex]
I need your help here! 15 pointa and brainliest. If you cant do it, at least give me the formula to this so I can solve it.
Answer:
0.40 formula x3.9 standardwise. Sorry if this doesnt help. I tried.
Step-by-step explanation:
A forester wants to estimate the height of a tree. He is 6 ft tall and cast a shadow of 4 ft. If the shadow of the tree is 60 ft, how tall is the tree?
Answer:
90 ft
Step-by-step explanation:
Given,
The 6 ft tall man casts 4 ft long shadow,
So, the ratio of the height of the man and its shadow = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
Now, suppose the height of the tree that casts the shadow of 60 ft long is h ft,
So, the ratio of the height of tree and its shadow = [tex]\frac{h}{60}[/tex]
At the same time,
[tex]\frac{h}{60}=\frac{3}{2}[/tex]
[tex]h=60\times\frac{3}{2}=30\times 3=90[/tex]
Hence, the height of the tree is 90 ft
Rewrite the following equation in log form: 2^2 = 4
We have to write
[tex] 2^2 =4 [/tex]
In log form
To convert exponential equation to log equation, we have to use the following rule[tex] If \ a^b = c, \ then \ b=log_{a} c [/tex]
So we will get
[tex] If \ 2^2 =4, \ then \ 2 = log_{2} 4 [/tex]
or
[tex] log_{2}4=2 [/tex]
And that's the required log form .
I will try my best to assist you with your question.
We can to write
2^2 =4
In log form
To convert exponential equation to log equation, we have to use the following rule If \ a^b = c, \ then \ b=log_{a} c
So we will get
If \ 2^2 =4, \ then \ 2 = log_{2} 4
or
log_{2}4=2
Hope I helped!
Good Luck!
⛈
The exchange rate between non-fixed currencies continuously fluctuates. The following table shows the exchange rate of pounds sterling to Israeli new shekel (plural shekalim) over a period of six days.
Days / £:INS
Monday: 1:6.0333
Tuesday: 1:5.8594
Wednesday: 1:5.7012
Thursday: 1:5.9462
Friday: 1:6.1715
Saturday: 1:6.0896
nate had 88.65 to convert into shekalim. the currency exchange he is using charges an 8% surcharge when converting currency. about how many more shekalim will nate recieve if he makes his trade on the day with the most favorable exchange rate than if he makes his trade on yhe day with the least favorable exchange rate?
Possible Answers
A. INS 41.69
B. INS 38.35
C. INS 31.68
D. INS 6.67
The correct answer is:
B) INS 38.35
Explanation:
The day with the best exchange rate is Friday; the rate is 1:6.1715. Converting 88.65£ with this rate, we have:
88.65(6.1715) = 547.103475.
Since he is charged an 8% surcharge, he gets to keep 100%-8% = 92% = 92/100 = 0.92 of this:
0.92(547.103475) = 503.335197
The day with the worst exchange rate is Wednesday, with a rate of 1:5.7012. Converting 88.65£ at this rate,
88.65(5.7012) = 505.41138. 4
0.92(505.41138) = 464.9784696
The difference between Friday and Wednesday is:
503.335197-464.9784696 = 38.3567274, or 38.35.
Nate would receive about 38.35 more shekalim if he made his trade on the day with the most favorable exchange rate than if he made his trade on the day with the least favorable exchange rate.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The day with the best exchange rate is Friday; the rate is 1:6.1715. Converting 88.65£ with this rate, we have:
88.65(6.1715) = 547.103475.
Since he is charged an 8% surcharge, he gets to keep 100%-8% = 92% = 92/100 = 0.92 of this:
0.92(547.103475) = 503.335197
The day with the worst exchange rate is Wednesday, with a rate of 1:5.7012.
Converting 88.65£ at this rate,
88.65(5.7012) = 505.41138. 4
0.92(505.41138) = 464.9784696
The difference between Friday and Wednesday is:
503.335197-464.9784696 = 38.3567274, or 38.35.
Hence, Nate would receive about 38.35 more shekalim if he made his trade on the day with the most favorable exchange rate than if he made his trade on the day with the least favorable exchange rate.
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giving away all these points to the lucky person who can explain how to get the answer (Law of Cosines) !!!
PLEASE HELP: 22 points//And brainliest answer.
Picture is above
Each baby dinosaur made 15 paintings and each adult dinosaur made 7 paintings. The entire herd made 208 paintings in total, and there were 3 times as many baby dinosaurs as adult dinosaurs.
Answer:
Adult dinosaurs=4
Baby Dinosaurs=12
Step-by-step explanation:
You only have to put an X to a certain number, in this case it will be like this:
Adult dinosaurs=x
Baby Dinosaurs= 3x
So the equation will be:
15(3x)+7(x)=208
You multiply it and add it and it will end up like this:
52x=208
x=4
So there were 4 adult dinosaurs.
And baby dinosaurs there are 3x which equals 12.
How to solve when sally went bowling her scores were 108, 72, and 95. if she bowls a 4th game, what will her score need to be to give her an average of 91?
A local company manufactures netbook computers. Their profit function is given by this equation: y equal minus x to the power of 2 plus 120 x plus 3000 where x is the number of netbooks produced in one day and y is the profit (in dollars) the company makes that day. What is the maximum profit that the company can make? (Hint: Find the vertex of the parabola.)
Answer: $6,600
Step-by-step explanation:
Given: The profit function is given by the equation:
[tex]y=-x^2+120x+3000[/tex],where x is the number of netbooks produced in one day and y is the profit (in dollars) the company makes that day.
To find the maximum profit, first we need to find critical point of the function.
For that, first differentiate the above function w.r.t. x, we get
[tex]y'=-2x+120[/tex]
Now, Put [tex]y'=0[/tex], we get
[tex]-2x+120=0\\\\\Rightarrow\ x=60[/tex]
Again differentiate the above function w.r.t. x, we get
[tex]y"=-2<0[/tex]
By second derivative test, at x=60 , attains its maximum value.
Now, the Maximum profit will be :
[tex]y=-(60)^2+120(60)+3,000=6,600[/tex]
Hence, the maximum profit that the company can make = $6,600
What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?
A.
-17=-8/5(x-16)
B.
-16=8/5(x-17)
C.
+16=-4/5(x+10)
D.
y+16=8/5(x+17)
What is the best way to randomly choose these 500 members?
There are 9.5 ounces of juice in a container. an additional 1.75 ounces of juice are poured into the container each second. how many ounces of juice are in the container after 6 seconds? enter your answer in the box. ounces
For this case, the first thing we must do is define variables.
We have then:
x: time in seconds
y: number of ounces
We then have an equation of the form:
[tex] y = mx + b
[/tex]
Where,
b: initial amount of juice
m: amount of juice added every second.
Substituting values we have:
[tex] y = 1.75x + 9.5
[/tex]
For 6 seconds later we have:
[tex] y = 1.75 (6) +9.5
y = 20
[/tex]
Answer:
20 ounces of juice are in the container after 6 seconds
please help asap 50 pts
Answer: The answer is B
Step-by-step explanation:
The smaller the coefficient, the wider the graph would be. So the smallest number, if positive, 1/5 is the widest and the largest 7 is the narrowest.
Answer:
b is ur answer
Step-by-step explanation:
Ashley has 77 candies to share with her friends on valentine’s day Ashely Jordan and Nikki share the candy with a ratio of 2 : 8 : 12 respectively how many candies does each person have