Answer:
C. The variable x has a coefficient. B. (2, 10) C. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25. D. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph does not have any x-intercepts.Step-by-step explanation:
1) Why is f(x)=(3x+1/3)^2+8/9 not the vertex form of f(x)=9x^2+2x+1?
A.The expression has a constant outside of the squared term.
B. The expression is not the product of two binomials.
C. The variable x has a coefficient.
D. Some of the terms are fractions instead of integers.
Vertex form is a(x -h)^2 +k. The coefficient of x inside parentheses is 1. The given form is not vertex form because the leading coefficient has not been removed to outside parentheses.
__
2) What is the vertex of the parabola with the equation y=(x−2)^2+10?
A. (−2, −10)
B. (2, 10)
C. (−2, 10)
D. (2, −10)
Vertex form is a(x -h)^2 +k. Comparing to the given equation, we find the vertex (h, k) = (2, 10).
__
3) For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x^2+25
A. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25.
B. There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25.
C. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.
D. The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5.
The x-intercepts are the values of x that make y=0. They are (±5, 0). The y-intercept is the value of y when x=0. It is (0, 25).
__
4) A student says that the function f(x)=−x^2−9 has the x-intercepts (−3,0) and (3,0). Is the student correct? If not, explain why.
A. The student is correct.
B. The student is not correct. The equation f(x)=0 has one real solution, so the x-intercept is (9,0).
C. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph has only one x-intercept, (0,0).
D. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph does not have any x-intercepts.
The parabola opens downward and has a maximum value of -9, so cannot cross the x-axis. There are no x-intercepts, hence no real solutions.
Identify the range of the function. A) (2, 8) B) [2, 8] C) (−5, 9) D) [−5, 9]
Answer:
The answer is "Option A"
Step-by-step explanation:
The domain is the collection of the value, which belongs to the separate variable (horizontal axis). So, to find a region with a graph, it must search for the function, which starts and end. And at all these levels we are searching at x-values.
Its starting point is (2,9) and the ending point is (8,3). Therefore, x= 2 to x=8 is the domain.
evaluate the expression m + p for m = 9 and p =7
Answer:
16
Step-by-step explanation:
Step 1: Write out expression
m + p
Step 2: Define variables
m = 9
p = 7
Step 3: Plug in variables
9 + 7
Step 4: Evaluate
16
this expression 3x+8+4x+2x has four what?
Answer:
polynomials
Step-by-step explanation:
Answer: The expression has four terms.
In Algebra, a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by division signs.
Hope this helps!
Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in
I hope this helps you
Rectangular Prism Volume is
Height. Width. Height
(6.25).(7.5).(8)
375
Please solve #5 and show your work! Will give BRAINLIST!!
Answer:
damita
Step-by-step explanation:
erin: 2/12 = 0.1666667
damita: 4/16 = 0.25
jayden: 3/15 = 0.2
0.25 is the highest concentration
11) 19, 13, 7, 1...
Explicit:
Recursive:
13) -3,-1,1, 3...
Explicit:
Recursive:
Can someone help me die in 10 min
Answer:happy
Step-by-step explanation:
Vg
What is the change in temperature from 20 degrees to -8 degrees ?
Answer:
28 degrees relatively
Step-by-step explanation:
20-(-8)
Answer:
20 degrees Celsius to Fahrenheit
20 degrees Celsius (ºC) are equal to 68 degrees Fahrenheit (ºF):
20ºC = 68ºF
Calculation
The temperature T in degrees Fahrenheit (ºF) is equal to 20 degrees Celsius (ºC) times 9/5 plus 32:
T(ºF) = 20ºC × 9/5 + 32 = 68ºF
If p, q and r were three statements such that p → q and q → r then p → r, this is called
Answer: Law of syllogism
Step-by-step explanation:
Law of Syllogism is described as
a logical reasoning by using transitivity.a valid argument that applies deductive reasoning to get the final statement. it is similar to transitive property that if a=b and b=c then a=c.So if p, q and r were three statements such that p → q and q → r then p → r, this is called law of syllogism.
For example: When Rita gets internet Shamy gets internet. When Shamy gets internet Raj gets internet.
By law of syllogism : When Rita gets internet Raj gets internet.
At a height of 3,281 feet, Angel Falls in Venezuela is the tallest waterfall in the world. Niagara Falls in the United States is only 190 feet tall. About how much taller is Angel Fall
Answer:
Angel Fall is 3091 ft taller.
Step-by-step explanation:
Height of Angel fall = 3281 ft
Height of Niagara falls in the United States = 190 ft
Angel fall is taller than Niagara Fall by
==> 3281 - 190 = 3091 ft
A local dog show features 8 Portuguese water dogs. The weights of the dogs are 38, 40, 42, 46,
45, 39, 42, 40. What are the mean and median weights of the Portuguese water dogs in the dog
show?
Answer:
[tex] \boxed{ \bold{ \sf{Mean \: = 41.5}}}[/tex]
[tex] \boxed{ \bold{ \sf{Median = \: 41}}}[/tex]
Step-by-step explanation:
Given weights of the dogs :
38 , 40 , 42 , 46 , 45 , 39 , 42 , 40
Find the sum of the whole data:
sum of all items ( Σx ) = 38 + 40 + 42 + 46 + 45 + 39 + 42 + 40 = 332
Number of items ( n ) = 8
To find mean, divide the sum by the total number of data.
Finding the mean weights:
[tex] \boxed{ \sf{Mean = \: \frac{ Σx}{n}}} [/tex]
⇒[tex] \sf{ \frac{332}{8} }[/tex]
⇒[tex] \sf{41.5}[/tex]
Mean weights = 41.5
-----------------------------------------------------------------------
Finding the median
To find the median, arrange the given data in ascending order.
Given data : 38, 40 , 42 , 46 , 45 , 39 , 42 , 40
Arranging the data in ascending order :
38 , 39 , 40 , 40 , 42 , 42 , 45 , 46
Total number of observation ( n ) = 8
Finding the position of median
[tex] \boxed{ \sf{Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}[/tex]
⇒[tex] \sf{( \frac{8 + 1}{2} ) ^{th} item}[/tex]
⇒[tex] \sf{( \frac{9}{2} ) ^{th} item}[/tex]
⇒[tex] \sf{ {4.5}^{th} item}[/tex]
4.5 th item is the average of 4 th and 5th items .
Here, 4 th item = 40
5 th item = 42
Finding the median
[tex] \boxed{ \sf{Median = ( \frac{{4}^{th} \: item + {5}^{th} item}{2}) }}[/tex]
⇒[tex] \sf{ \frac{40 + 42}{2} }[/tex]
⇒[tex] \sf{ \frac{82}{2} }[/tex]
⇒[tex] \sf{41 }[/tex]
Hope I helped!
Best regards!!
Answer:
A local dog show features 8 Portuguese water dogs. The weights of the dogs are 38, 40, 42, 46,
45, 39, 42, 40. What are the mean and median weights of the Portuguese water dogs in the dog
show?
Step-by-step explanation:
It’s either D or E; please help
Thirty overweight males agree to participate in a study of the effectiveness of three weight-loss treatments: X, Y, and Z. The researcher calculates the
body fat composition of each subject. The response variable is the reduction in body fat after six weeks of treatment. Previous studies have shown the
effects of a diet may vary based on a subject's initial body fat composition. How should the subjects be blocked? Explain.
They should be blocked alphabetically so the subjects are as different as possible.
They should be blocked by age because weight loss is more difficult to achieve as you get older.
They should be blocked by height because weight loss is easier to achieve for taller people.
They should be blocked by body fat composition so the subjects are as similar as possible.
Blocking should not be used in this experiment.
Answer:
They should be blocked by body fat composition so the subjects are as similar as possible.
Step-by-step explanation:
It's D .
Blocking here means how should the subjects be arranged in terms of body fat or weight.
Option A is wrong because alphabetically controlling body fat would not get desired results.
Option B is wrong because different age groups would yield different results.
Option C is wrong also because weight loss is not dependent on taller people.
Option D is correct because controlling body fat would yield best possible results in ascending or descending order
Option E is incorrect because arranging data in ascending or descending order would simplify the researches experiments.
I need help! I can’t understand!
Make x the subject of the formula a(x-b)=a^2+bx
Answer:
x = [tex]\frac{a(a + b)}{a-b}[/tex]
Step-by-step explanation:
Step 1: Write out formula
a(x - b) = a² + bx
Step 2: Distribute
ax - ab = a² + bx
Step 3: Add ab to both sides
ax = a² + bx + ab
Step 4: Subtract bx on both sides
ax - bx = a² + ab
Step 5: Factor
x(a - b) = a² + ab
Step 6: Divide (a - b) on both sides
x = [tex]\frac{a^{2} + ab}{a-b}[/tex]
Step 7: Factor
x = [tex]\frac{a(a + b)}{a-b}[/tex]
And we have our final answer!
8.45 +0.7 correct to 3 decimal places
Answer:
9.15
Step-by-step explanation:
Answer:
9.15 or 9.150
Step-by-step explanation:
The correct answer base on the numbers given is 9.15. But for you to get the 3 decimal answer of 9.150 you would add two 0's to the .7 making it .700.
8.45
+ .700
9.150
On Monday the temperature was 32° On Tuesday the temperature was -5°. What was
the change in temperature?
Answer:
37°
Step-by-step explanation:
Think of 0° as a reference point. Then 32° is above this reference by 32 degrees, and -5° is below it by 5 degrees. Summing up 32 and 5, we get 37. The change in temperature was 37°
Find the area of the triangle below. Be sure to include the correct unit in your answer. I need help please
Last one, use trigonometry to help you solve for y given that one side is 4 and there is an angle of 50 degrees.
Answer:
y = 6.22
You can solve this in two ways.
1.) Use SOH CAH TOA:
I typically start off by labeling the sides of the triangle with H (hypotenuse), O (opposite), and A (adjacent). Because I need to figure out what y is when given an angle and 4, I will use CAH, or cosine.
[tex] \cos(angle) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(50) = \frac{4}{y} [/tex]
[tex] \cos(50) \times y = 4[/tex]
[tex]y = \frac{4}{ \cos(50) } [/tex]
[tex]y = 6.22[/tex]
2.) Use Law of Sines:
Solve for the last angle inside the triangle first.
[tex]180 - (50 + 90) = 40[/tex]
Then use the angle you found (40°) in the equation.
[tex] \frac{4}{ \sin(40) } = \frac{y}{ \sin(90) } [/tex]
[tex] \frac{4}{ \sin(40) } \times \sin(90) = y[/tex]
[tex]y = 6.22[/tex]
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to spend exactly $80. How many miles can he drive? Write and solve an equation to find how many miles Ben can driv
Answer:
Ben can drive 500 miles for $ 80
Step-by-step explanation:
Let y be the cost of traveling and x be the number of miles . The charge is $20 plus the $0.12 per mile which means the cost $ 20 is constant and an additional cost of $ 0.12 is spent on every mile. Then according to the given conditions the equation will be
y = $20 + $ 0.12(x) where x is the number of miles
Now we can solve x for y= 80
$ 80= $20 + 0.12 (x)
$ 60 = 0.12x
x= 60/ 0.12= 500
Ben can drive 500 miles for $ 80
In her last four basketball games, Alexi has scored 12, 14, 26, and 40 points. If the pattern continues, how many points will Alexi score in her next game?
Answer:
its 26. Just take my word for it
Step-by-step explanation:
14-12=2
26-14=12
40-26=14
You see the pattern. Alexi will score 26 pts. btw, this goes against the laws of probability, but whatever.
∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ , then find the measure of \angle A∠A
Answer:
x = 25
Step-by-step explanation:
The measure of angle A is 108°
What is a angle?An angle is formed when two straight lines or rays meet at a common endpoint.
What is a supplementary angle?Supplementary angles are those angles that sum up to 180 degrees.
Given that angle A and angle B are supplementary angle
∠A=(7x+10)°
∠B=(7x−26)°
(7x+10)° + (7x−26)° =180°
14x - 16° =180°
14x =196°
x= 14°
∠A=(7x+10)°
∠A=(7(14) +10)°
∠A= 108°
Thus the measure of angle A is 108°
To know more about supplementary angles click here
https://brainly.com/question/13045673
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Use the distributive property to solve 2(3x+4p-8)
Answer:
6x + 8p - 16
Step-by-step explanation:
Given
2(3x + 4p - 8) ← multiply each term in the parenthesis by 2
= 6x + 8p - 16
Answer:
Step-by-step explanation:
2(3x + 4p - 8)= 2*3x + 2* 4p + 2*(-8)
= 6x + 8p - 16
7n+5=96 so what is the answer
Answer:
n = 13
Step-by-step explanation:
7n + 5 = 96
Subtract 5 from both sides to get rid of the 5 on the right side:
7n + 5 - 5 = 96 - 5
7n = 91
Divide both sides by 7 to get rid of the coefficient of n:
7n / 7 = 91 / 7
n = 13
Answer: [tex]n=13[/tex]
Subtract 5 from both sides
[tex]7n+5-5=96-5\\7n=91[/tex]
Divide both sides by 7
[tex]7n/7=91/7\\x=13[/tex]
If 225 is the dividend and 15 is the divisor, then what is the quotient?
Answer:
The answer is 15.
Step-by-step explanation:
When dividing 225 by 15 you can multiply 15 by 15 and you will get 225.
3x + 5 = 2x + 2 -(x-3) Pls show work too, thanks :)
Answer:
X=0
Step-by-step explanation:
1.Remove the parentheses
3x + 5 = 2x + 2 -(x-3) -> 3x+5=2x+2-x+3
2.Combine like terms
3x+5=2x+2-x+3 -> 3x+5=x+5
3.Cancel Equal Terms
3x+5=x+5 -> (subtract 5 from both sides) 3x=x
(subtract x from both sides) 3x=x -> 3x-x=0
4.Combine like terms
3x-x=0 -> 2x=0
5.Get rid 2 so divide both sides by 2
2x= 0 -> [tex]\frac{2x}{2}[/tex]=[tex]\frac{0}{2}[/tex] ->
x=0
Rita is 8 years older than Fati. If Fati is 15 years now, how old was Rita 3 years ago
Answer:
Rita is 20 years old
Step-by-step explanation:
If you add 8 years to Fati's age, (15+8), you get 23. That is Rita's age right now. Now subtract 3 from 23. You get 20. So Rita is 20 years old.
(20pts)prove that the difference of the squares of two consecutive integers is equal to the sum of the integers, whenever the larger of the two integers comes first
Answer:
see below (I hope this helps!)
Step-by-step explanation:
If the two numbers are x and x + 1, then:
(x + 1)² - x²
= x² + 2x + 1 - x²
= 2x + 1
= x + (x + 1)
There are 7 pens in a bag. Four of the pens are blue and the other 3 are red. What's the probability of pulling out a red
pen? Write your answer as a fraction.
Answer:
3/7
Step-by-step explanation:
P(red) = number of red pens / total number of pens
= 3/7
Answer:
3/7
Step-by-step explanation:
Total pens = 7
Blue pens = 4
Red pens = 3
probability of pulling out a red pen
= No of red pens / Total pens
= 3/7
Idk how to do this!!?!?
Answer:
∠ AED = 130°
Step-by-step explanation:
CD is a straight line, thus
∠ AEC + ∠ AED = 180° , that is
50° + ∠ AED = 180° ( subtract 50° from both sides )
∠ AED = 130°
Convert the angle to degrees, minutes, and seconds. 292.41°
Answer:
292° 24' 36"
Step-by-step explanation:
d = int(292.41°) = 292°
m = int((292.41° - 292°) × 60) = 24'
s = (292.41° - 292° - 24'/60) × 3600 = 36"
292.41°
= 292° 24' 36"
Answer:
292 degrees 24 minutes and 36 seconds:
292° 24' 36"
Step-by-step explanation:
There are 60 minutes in a degree and 60 seconds in a minute.
so 0.41 degrees = 0.41 * 60 = 24.6 minutes
and 0.6 of a minute = 0.6 * 60 = 36 seconds.
help me with this plzzzzz
Answer:
C
Step-by-step:
The answer is c because 7.6 & 8.2 are both rational numbers and it goes onto natural numbers. They are also ordered in the from least to greatest like on a number line, 7.6, 8.2, 50, 65, 78. Plus, I'm kinda on the same unit.