16
Select the correct answer from each drop-down menu.
What is the equation of the quadratic function represented by this table?
х
у
-3
3.75
-2
4
- 1
3.75
0
3
1
1.75
y=
(x-
02 +
Answers
Answer:
[tex]y=\boxed{-\dfrac{1}{4}}\left(x-\boxed{-2}\:\right)^2+\boxed{4}[/tex]
Step-by-step explanation:
The graph of a quadratic function is symmetrical.
The axis of symmetry is the vertical line through the vertex of the parabola so that the left and right sides of the parabola are symmetrical.
From inspection of the given table, the axis of symmetry is x = -2 as the y-values of x = -3 and x = -1 are both 3.75.
Therefore, the vertex is (-2, 4).
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
(h, k) is the vertex.a is some constant.Substitute the vertex and one of the other points into the vertex formula and solve for a:
[tex]\begin{aligned}y&=a(x-h)^2+k\\\implies 3&=a(0-(-2))^2+4\\3&=a(2)^2+4\\3&=4a+4\\-1&=4a\\a&=-\dfrac{1}{4}\end{aligned}[/tex]
Substitute the vertex (-2, 4) and the found value of a into the formula to create an equation for the function:
[tex]y=\boxed{-\dfrac{1}{4}}\left(x-\boxed{-2}\:\right)^2+\boxed{4}[/tex]
Learn more about vertex form of quadratic functions here:
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Answer:
-1/4 -2 4
Step-by-step explanation:
Related Questions
4 5/6 + 3 5/6. Write your answer as a mixed number in the simplest form.
Answers
Answer:
8 2/3
Step-by-step explanation:
you change them to mixed fractions first which will be
29/6 + 23/6
29+23 all over 6
= 52/6
= 26/3
=8 2/3
A pair of pants is discounted 25%. They now cost $104.25. What was the price before the discount.
Answers
Answer:
a pair of pants regularly cost $68 the pants are on sale for 45% of the original price how much will the discount be the answer will be $108.42
Please help me to do this question friends ?
Answers
From a hot-air balloon, Daniel measures a 33^{\circ} ∘ angle of depression to a landmark that’s 1579 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answers
The balloon’s vertical distance above the ground is 860.0 ft
Right angle triangle:Right angle triangle are triangle that has one of its sides as 90 degrees. The side of the triangle can be found using trigonometric ratios. Therefore,
The horizontal distance from the landmark tot he hot balloon is 1579 feet and it is the hypotenuse side of the triangle formed. Therefore, the vertical height is the opposite sides.
Using trigonometric ratio,
sin 33° = opposite / hypotenuse
sin 33° = x / 1579
cross multiply
x = 1579 × sin 33
x = 1579 × 0.54463903501
x = 859.985036289
x = 860.0 ft
learn more on right triangle here: https://brainly.com/question/25843163
If a truck's tire has a radius of 2 ft, what is the circumference of the tire in feet?
Answers
Answer:
H
Step-by-step explanation
A line passes through the points (-5,-6) (-4,-4) write An equation for the line in point slope form
Answers
Answer: y+4=2(x+4)
Step-by-step explanation:
(4^-1)(2^3 divided by 4^-2)
Answers
Answer:
D
Step-by-step explanation:
Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
Answers
The first four-term of the sequence is found by the given equation [tex]a_{n-1} = 4a_n[/tex] is given as 144, 36, 9, and 9/4.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The given equation will be
[tex]\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n[/tex]
And
[tex]a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}[/tex]
For n = 4, we have
[tex]\rm a_{4-1} = 4a_4\\\\a_3 \ \ \ = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9[/tex]
For n = 3, we have
[tex]\rm a_{3-1} = 4a_3\\\\a_2 \ \ \ = 4*9 \\\\ a_2 \ \ \ = 36[/tex]
For n = 2, we have
[tex]\rm a_{2-1} = 4a_2\\\\a_1 \ \ \ = 4*36 \\\\ a_1 \ \ \ = 144[/tex]
More about the sequence link is given below.
https://brainly.com/question/21961097
Answer:
144
36
9
Step-by-step explanat
Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people.
a) Someone in your class can speak Hindi.
b) Everyone in your class is friendly.
c) There is a person in your class who was not born in California.
d) A student in your class has been in a movie.
e) No student in your class has taken a course in logic programming.
Answers
Answer:
a) Someone in your class can speak Hindi.
Step-by-step explanation:
The statements into logical expressions using predicates, quantifiers, and logical connective is shown below.
What are Quantifier and Predicate?The property (or properties) that a variable or subject might have are described by a predicate or propositional function. By giving the variable a value or by quantification, a proposition can be made from a propositional function.
a) Someone in your class can speak Hindi.
∃x (H(x))
and, ∃x (S(x) ^ H(x))
b) Everyone in your class is friendly.
∀ x (F(x))
and, ∀ x (S(x) --> F(x))
c) There is a person in your class who was not born in California.
∃x (~C(x))
and, ∃x (S(x) ^(~C(x))
d) A student in your class has been in a movie.
∃x (M(x))
and, ∃x (S(x) ^ M(x))
e) No student in your class has taken a course in logic programming.
∀ x (~L(x))
and, ∀ x (S(x) --> ~L(x))
Learn more about Quantifier and Predicate here:
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#SPJ2
It takes 12 hours to clean the windows of a certain office building. During the
first day of cleaning, the workers were able to clean for 9 hours. If the variable
t stands for the amount of time the workers have left to clean the windows,
which of the following choices is the most reasonable value for ?
O A. 20 hours
O B. 3 hours
O C. 1 hour
O D. 30 hours
Answers
Answer:
B: 3 hours
Step-by-step explanation:
Since we know that it takes 12 hours to clean the windows and the cleaners were only able to clan for 9 hours, we just subtract 9 from 12 which gives us the answer:3Hours.
Answer:
B.3hours
Step-by-step explanation:
12-9=3
so the letter T is=3
The length and width of a box are 4 in. The volume is 48 in. ^3
What is the height of the box?
Answers
Answer:
WIDTH ‘W’ = 8 in; LENGTH = 11 in AND HEIGHT = 6 in
Step-by-step explanation:
VOLUME = (W+3)*(W-2)*W = 52
W*(W^2 +W - 6) = 525
SOLUTION BY TRIAL & ERROR
TRIAL 1 : LET W = 5; 5(25+5–6) = 120
TRIAL 2 : LET W=10; 10(100+10–6) = 1040
TRIAL 3 : LET W = 8; 8(64+8–6) = 528 OK
ANSWER WIDTH ‘W’ = 8 in; LENGTH = 11 in AND HEIGHT = 6 in
(Please someone help me!) (No links!)
Answers
Answer:
Equation 1 matches with number 9.
Equation 2 matches with number 7.
Equation 3 matches with number 1.
Equation 4 matches with number 3.
Equation 5 matches with number 5.
Step-by-step explanation:
Equation 1: −9x > −9
−9x > −9
Divide both sides by −9.
-9x/-9 = -9/-9
Since −9 is negative, the inequality direction is changed.
x < 1
x < 1 matches with the graphed solution of number 9.
So, Equation 1 matches with number 9.
Equation 2: 2x + 6≥ −2
2x + 6≥ −2
Step 1: Subtract 6 from both sides
2x + 6 − 6 ≥ −2 − 6
2x ≥ −8
Step 2: Divide both sides by 2
2x/2 ≥ −8/2
Step 3: Simplify
x ≥ -4
x ≥ -4 matches with the graphed solution of number 7.
So, Equation 2 matches with number 7.
Equation 3: x − 9 < −5
x − 9 < −5
Step 1: Add 9 to both sides.
x − 9 + 9 < −5 + 9
Step 2: Simplify
x < 4
x < 4 matches with the graphed solution of number 1.
So, Equation 3 matches with number 1.
Equation 4: −6x < −12
−6x < −12
Divide both sides by -6
-6x/-6 < -12/-6
Since −6 is negative, the inequality direction is changed
x > 2
x > 2 matches with the graphed solution of number 3.
So, Equation 4 matches with number 3.
Equation 5: -7x + 20 > 55
-7x + 20 > 55
Step 1: Subtract 20 from both sides.
−7x + 20 − 20 > 55 − 20
Step 2: Simplify
−7x > 35
Step 3: Divide both sides by -7.
-7x/-7 > 35/-7
Step 4: Simplify
x < -5
Since −7 is negative, the inequality direction is changed
x < -5 matches with the graphed solution of number 5.
So, Equation 5 matches with number 5.
Hint: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠)
2x+4y=60 and y=x+3 i need a answer quick
Answers
It is asking for the intercept.
y = x + 3 becomes y - x = 3
multiply it by two, so it becomes -2x + 2y = 6. Then add it to the other equation, and solve for y.
2x + 4y = 60
(2x + 4y) + (-2x + 2y) = 60 +6
6y = 66
y = 11
Plug in the known y into the the easiest equation.
11 = x +3
x = 8
Intercept: (8, 11)
brainliest to the right answer
Answers
Step-by-step explanation:
again, in a geometric sequence every term is created by mutilated the previous term by a constant factor.
-192 × f = 48
f = 48/-192 = -1/4
here it seems to be clear now that your teacher starts counting at a1 (and not a0).
a1 = -192
a2 = a1 × -1/4 = -192 × -1/4 = 48
a3 = a2 × -1/4 = a1 × -1/4 × -1/4 = -192 × 1/16 = -12
an = -192 × (-1/4)^(n-1)
a6 = -192 × (-1/4)⁵ = -192 × -1/1024 = 3/16
Veronica has to multiply 398 x 18. She says she can multiply 400 X 18 and then take
away one group of 18.
Write an expression that shows Veronica's thinking
Answers
Answer:
See below. Veronica's thinking is incorrect. I've included what she is thinking, but the correct thinking is more useful, as noted below.
Step-by-step explanation:
398 is 2 less than 400. Veronica needs to remove two groups of 18.I don't know what Veronica is thinking, other than:
(398 x 18) = (400*18 - 18)
She should be thinking:
(398 x 18) = (400 x 18) - (2*18). The "2" is for the two extra groups of 18 that she will have when multiplying 400 x 18, instead of 398 x 18.
A rectangular prism has length of 10.4 millimeters, width of 5 millimeters, and height of 8 millimeters.What is the volume of the rectangular prism
Answers
Answer:
416mm^3
Step-by-step explanation:
volume = length x width x height
= 10.4 x 5 x 8
=416
0.27 recurring as a fraction
Answers
Answer:
Step-by-step explanation:
first you have to divide then after you divide you should get the answer
Can someone help me for problem 23
Answers
B. I’m sorry I didn’t have paper
C. The y-intercept
Name the polygon that has one angle measuring 90° and the others measuring 45° each.
Answers
Answer:
right angle
Step-by-step explanation:
pls answer my question
Answer:
There is no regular polygon satisfying this condition, however a right angled isosceles triangle can be the ans to this question.
Step-by-step explanation:
Logical thinking
Which property can be used to expand the expression
the associative property
the commutative property
the distributive property
the additive identity property
Answers
Answer:
the distributive property
Answer: distributive property
Step-by-step explanation:
Find (f -9)(x) where f(x) = -x2, g(x) = -(x + 4)2
Answers
Answer:
2x^2 +11
Step-by-step explanation:
2x^2 +11
Step-by-step explanation:
(x) = 3 x^2 + 2
g(x) = x^2 - 9
(f - g)(x) =3 x^2 + 2 - (x^2 - 9)
Distribute the minus sign
= 3x^2 +2 - x^2 +9
Combine like terms
= 2x^2 +11
ASAP HELP! Look how much im offering, congruent shapes.
Subject:
Congruent Shapes.
Q3
Answers
Answer:
D. 7.5 inches
Step-by-step explanation:
So, we can find the ratio of the big triangle to the small one by dividing the values of the hypotenuse.
So, 18/6 = 3
Big:small = 3:1
So, using this we can make an equation to find AD.
Let's say ED=x.
AD is basically ED (x) + AE (5).
Since ED is part of the small triangle, and AD is part of the big one, we can use the 3:1 ratio from above.
So, [tex]\frac{x+5}{x}[/tex]=3.
Multiply both sides by x, getting x+5 = 3x.
Subtract the x: -x -x
And you get 5=2x, giving you 2.5 = x.
However, we're not done yet, as 2.5 is the value of ED, but we need AD.
Remember, AD is = ED + AE.
So, AD = 2.5 + 5.
Finally, AD = 7.5
please helppp with this
Answers
Answer:
a) f(4) = 2(4) - 5 = 3
Step-by-step explanation:
First, we look at the function, and we see different domain restrictions.
We are given the value of 4. The first equation has a domain restriction which includes 4 as it has the line below the greater than sign.
So, the first equation must work.
So our answer is A.
If y varies inversely as x and y = 18 when x = 4, what is y when x = 24? a. 12 b. 6 c. 3 d. 16.
Answers
Answer:
[tex]\huge\boxed{\sf y = 3}[/tex]
Step-by-step explanation:
Given that:
[tex]\displaystyle y \propto \frac{1}{x}[/tex]
Converting proportionality into equality
[tex]\displaystyle y = \frac{k }{x}[/tex] ------------------------- (1)
We know that:
y = 18 when x = 4
Put in Eq. (1)
[tex]\displaystyle 18 = \frac{k}{4} \\\\Multiply \ 4 \ to \ both \ sides\\\\18 \times 4 = k\\\\72 = k\\\\ \boxed{k = 72}[/tex]
Now,
y = ? when x = 24
Put in Eq. (1)
[tex]\displaystyle y = \frac{72}{24} \\\\\boxed{y = 3}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Evaluate this expression
Answers
Answer:
7
Step-by-step explanation:
3 Square root 16-5
So...
First solve square root. You will get 4 (Coz 16=4×4)
And then 3 multiply by 4 = 12. And 12-5 = 7.
Hope this helps you.
Pls mark me Brainliest.
Hi! I hope you're enjoying your day! :)
Let's evaluate this expression.
First of all, notice that the square root of 16 and 3 are written together.
This means the square root of 16 is multiplied by 3.
What is the square root of 16?
[tex]\bold{\sqrt{16}}=4[/tex]
What is 3 times 4?
[tex]\bold{3*4=12}[/tex]
What is 12 minus 5?
[tex]\bold{12-5=7}[/tex]
Hence, the final answer is
[tex]\boxed{\boxed{\bold{7}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
Answers
Answer:
19
Step-by-step explanation:
115+10P=305
305-115=190
190/10=19
Group A and Group B were randomly sampled from the same population. A double box plot showing group A on the top and group B on the bottom. For group A, the left end mark is at 1, the left edge of the box is at 3, the line inside the box is at 4, the right edge of the box is at 5, and the right end mark is at 7 point 5. For group B, the left end mark is at 3, the left edge of the box is at 4, the line inside the box is at 5, the right edge of the box is just past 5, and the right end mark is at 7 point 5. Select all the inferences that you can make. Group B has a higher median than Group A. Group B has a higher mean than Group A. Group B has more overall variability than Group A. Group B has a smaller range than Group A. Group A and B have the same maximum value
Answers
We can conclude the following about the box plots:
Group A had lower median than group B. Group B has less overall variability because it has a smaller range than group A.What is Median and Range of a Data Set?Median is the middle value which is represented by a vertical line that divides the rectangular box in a box plot.
Median for Group A is smaller than the median of Group B.
Range of a data set is the difference between the maximum value and the minimum value. Range is a measure of variability. The bigger the range, the more the variability and vice versa.
Range of Group A is larger than range of Group B.
Therefore, we can conclude the following about the box plots:
Group A had lower median than group B. Group B has less overall variability because it has a smaller range than group A.Learn more about median and range on:
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HELP? PLEASE!??? for brianlest
Answers
Answer:
Step-by-step explanation:
Total zigzag = 5 + 5 = 10
5 zigzag made of velvet
Probability of zigzag made of velvet = 5/10 = 1/2
I guess this is the answer. 1/2
Answer:
5/17
Step-by-step explanation:
number of zigzag AND velvet (5) over the total number of bow ties (17)
Before finding the surface area of a cylinder, you must convert all dimensions to the same unit of measure.
True or false
Answers
A function f gives the number of stray cats in a town t years since the town started
an animal control program. The program includes both sterilizing stray cats and finding homes to adopt
them. An equation representing f is f(t) = 243(3)'.
What is the value of f(t) when t is 0? Explain what this value means in this situation?
Answers
Answer:
f(0) = 243 . . . cats at the start
Step-by-step explanation:
The exponential function tells you the number of cats after t years is ...
f(t) = 243(1/3)^t
When t=0, the exponential factor is 1, so the value of the function is the multiplying constant.
f(0) = 243
This means there were 243 stray cats in town when the animal control program started.