.
For what value of k is the expression
4x2 – 8x +k a perfect square?
A.
B.
C.
D.
E.
64
32
16
8
4.
Answers
Answer:
\(k = 4\)
Step-by-step explanation:
Given
\(4x^2 - 8x + k\)
Required
Determine k if the expression is a perfect square
A quadratic is of the form;
\(ax^2 + bx + c\)
Where (by comparison):
\(a = 4\) \(b = 8\) \(c = k\)
If the above is a perfect square, then
\(k = \frac{b^2}{4a}\)
Substitute values for a, b and c
\(k = \frac{8^2}{4*4}\)
\(k = \frac{64}{16}\)
\(k = 4\)
Hence, k = 4
Related Questions
I’ll give brainliest! Please help
Answers
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
Which of the following represents 10 1/2 as a decimal?
Answers
Answer:
10.5
Step-by-step explanation:
10 1/2 = 10.5
Answer:
Its 10.5
Step-by-step explanation:
The ten is a whole number and .5 is 5/10 or a half.
Have a great day.
Is triangle ABC congruent to triangle DEC? If so, write an argument to prove you are right.
Answers
Answer:
If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF
Step-by-step explanation:
qwe
Abigail has been saving her earnings from her lemonade stand. Abigail has 30 dollars to spend. If she buys a new hat for 15 dollars, how many ribbons can she buy with the remaining money if they cost 4 dollars each?
Answers
Find the value of x and y in simplified radical form.
Answers
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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find the domain of (x). express your answer in interval notation.
Answers
so the domain is
\((0,\propto)\)which equation is the inverse of 2(x - 2)\(^{2}\) = 8(7 + y)
Answers
The inverse equation to the one given in this exercise is:
\(y = 2(\sqrt{7 + x} + 1)\)
How to find the inverse of an equation or a function?To find the inverse, we have to exchange x and y and then isolate y.
In this problem, the equation is:
2(x - 2)² = 8(7 + y).
Exchanging x and y:
2(y - 2)² = 8(7 + x)
Now we work to isolate y:
(y - 2)² = 4(7 + x).
To isolate y, we apply the square root to both sides, hence:
\(\sqrt{(y - 2)^2} = \sqrt{4(7 + x)}\)
\(y - 2 = 2\sqrt{7 + x}\)
\(y = 2\sqrt{7 + x} + 2\)
\(y = 2(\sqrt{7 + x} + 1)\)
Hence the inverse equation to the one given is:
\(y = 2(\sqrt{7 + x} + 1)\)
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y=-6x-7 7x+y=-3 substitution
Answers
By substitution; x = 4 and y = -31
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.
y=-6x-7 --- 1
7x+y=-3 --- 2
Substituting y as 6x - 7 in equation 2
7x + (-6x - 7) = -3
7x - 6x - 7 = -3
x - 7 = -3
x = -3 + 7
x = 4
Substitute x as 4 in equation 1
y = -6x - 7
y = -6(4) - 7
y = -24 - 7
y = -31
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The weights of eight puppies have the following statistics:
mean: 10
median: 7.5
mode: 7
List one set of possible weights in the table below.
Answers
Answer:
7, 7, 7, 7.5, 7.5, 14, 20, 10
Step-by-step explanation:
Since the median has to be 7.5, you know that the 4th and 5th numbers have to average out to 7.5. In simpler terms, the two numbers have to add up to 15 so that when you divide them by 2, you get 7.5. Then you know that the mode is 7. So, the magority of the numbers have to be 7. This is why I made the first 3 numbers 7. Then you know that the mean is 10, so all the numbers have to add up to 80. So, if you add up the numbers you have so far you get 36. This means that the remaning numbers have to add up to 44. Here you can really choose any numbers you want, as long as they add up to 44. That is why I chose, 14, 20, and 10. Lastly to check the numbers you put in, find the mean, median and mode. If they all match up with median: 7.5, mean: 10, and mode: 7, then your numbers work! Hope that helps!
✌
One possible data set can be -
8, 7, 8, 7, 8, 7, 15, 7, 13
We have the following statistics for weights of eight puppies -
Mean: 10
Median: 7.5
Mode: 7
We have to list the set of possible weights for eight puppies.
Define Mean, Median and Mode for a given set of data.The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The median is the middle value when a data set is ordered from least to greatest.
The mode is the number that occurs most often in a data set.
According to the question, we have -
Number of puppies = 8
Mean = 10
Median = 7.5
Mode =7
Assume the sum of weights of all puppies be x. Therefore -
\($\frac{x}{8} = 10\)
x = 80
Now -
Mode = 7 → This means that the number 7 has occurred the most in the set.
Median = 7.5 → This means that 7 is the middle value when a data set is ordered from least to greatest. The data set can be -
8, 7, 8, 7, 8, 7, 15, 7, 13
Hence, one possible data set can be -
8, 7, 8, 7, 8, 7, 15, 7, 13
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Solve and show work for all questions
Answers
Answer:
-36x^3y^7ab^2-2x^2y^2y = 2x - 26x^2 + 2x - 6Step-by-step explanation:
1) .....................................
(12y^6ab)(-3yx^3b) =
-36x^3y^7ab^2
2) .....................................
-12x^10y^3/6x^8y =
-2x^(10-8) y^(3-1) =
-2x^2y^2
3) .....................................
Equation of the line with slope of 2 and containing the point (4, 6)
Slope intercept form:
y = mx + b, where m- slope, b- y-interceptConsidering m = 2, x = 4, y = 6
6 = 2*4 + b6 = 8 + bb = 6 - 8b = -2The the line is:
y = 2x - 24) .....................................
(2x + 3)(3x - 2)= 2x(3x) + 2x(-2) + 3(3x) + 3(-2) = 6x^2 - 4x + 6x - 6 =6x^2 + 2x - 6Help. (Math) The following construction was performed. What distance did the compass have to be set to sweep the two arcs through point T?
1. RP
2. QR
3. QT
4. QP
Answers
Find the missing angle. Round your answer to the nearest degree.
13 in
df
.pdf
18 in
sl.pdf
real
X =
degrees
Answers
Step-by-step explanation:
\( \tan( x ) = \frac{13}{18} \\ x = arctan (\frac{13}{18} ) \\ x = {79}^{o} \)
If anyone solves this question, I'll give 10pts.
THE QUESTION:-
Which no. is equivalent to
3⁴/3² ?
OPTIONS:-
A. 2
B. 9
C. 81
D. 728
Answers
Answer:
9
Step-by-step explanation:
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
Answers
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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what is the unit rate shown by the graph
Answers
Answer:
id say 30 kilometers per hour
One model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the person's height h with the linear function LACL=0.04606h−(41.29 mm) This relationship does not change significantly with age, gender, or weight. If a basketball player has a height of 2.13 m, approximately how long is his ACL?
Answers
Answer:
The \(L_{ACL}\) of the player is \(L_{ACL} = 56.82 \ mm\)
Step-by-step explanation:
From the question we are told that
The relationship between the length \(L_{ACL}\) to the height is
\(L_{ACL} = 0.04606h - (41.29 \ mm)\)
The height of the basketball player is \(h = 2.13 \ m = 2130 \ mm\)
Substituting the value of height of the basket ball player in to the model we have the \(L_{ACL}\) of the player is
\(L_{ACL} = 0.04606 (2130) - (41.29 ) \ mm\)
\(L_{ACL} = 56.82 \ mm\)
Identify the vertex, roots, and equation of the function below.
Answers
The equation of a parabola in vertex form, is:
\(y=a(x-h)^2+k\)Where (h,k) are the coordinates of the vertex.
From the given graph, notice that the coordinates of the vertex are:
\((5,6)\)The roots are the values of x where the graph crosses the x-axis. In this case, the graph crosses the x-axis at the points (4,0) and (6,0). Then, the roots are:
\(\begin{gathered} x_1=4 \\ x_2=6_{}_{} \end{gathered}\)Substitute the values of the vertex into the equation of the parabola in vertex form:
\(y=a(x-5)^2+6\)To find the value of a, substitute (x,y)=(4,0):
\(\begin{gathered} 0=a(4-5)^2+6 \\ \Rightarrow0=a(-1)^2+6 \\ \Rightarrow0=a+6 \\ \Rightarrow-6=a \\ \Rightarrow a=-6 \end{gathered}\)Therefore, the equation of the parabola is:
\(y=-6(x-5)^2+6\)Please help!! What is the solution if the equation below
Answers
The answer to the given equation question is Option C - 2
What does square root mean ?A square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x.[1] For example, 4 and −4 are square roots of 16, because 4^2 = (−4)^2 = 16.
Given : \(\frac{\sqrt{2x} }{\sqrt{x-1} }\) = 2
On taking square roots on both sides we get :
=> \(\frac{2x}{x-1}\) = 2
On cross multiplying
=> 2x = 2x - 2
After the calculations we get the solution as 2
Thus the correct answer is option c - 2 .
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18+ 4(28) use the properites of operations to evaluate this expressions?
Answers
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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Select all the expressions that are equivalent to 24a – 6. 2(12a – 3) –3(2a + 2) + 18a 3(–2 + 8a) –6(2 – a) + 18a + 6 –2(12a + 3)d
Answers
Answer:
2 (12a-3)
Step-by-step explanation:
do distributive property
2 x 12a = 24a
2 x -3 = -6
Answer:
2(12-3)
Step-by-step explanation:
2 x 12 =24 2 x -3=-6
A rectangular prism has a length of 14 centimeters, a height of 4 1 2 centimeters, and a volume of 756 cubic centimeters. What is the width of the prism? Write your answer as a whole number, proper fraction, or mixed number.
Answers
The width of the prism is, 12 centimeter.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
A rectangular prism has a length of 14 centimeters, a height of 4 1/2 centimeters, and a volume of 756 cubic centimeters.
Let the width of the prism = x
Now, We know that;
⇒ Volume of prism = Length × Width × Height
Substitute all the given values, we get;
⇒ 756 = 14 × x × 4 1/2
⇒ 756 = 14 × 9/2 × x
⇒ 756 = 63x
⇒ x = 756 / 63
⇒ x = 12 centimeter
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Sanjay has £356.54 in his bank account. He spends £595.99 on a new mountain bike. What is his new bank balance?
Answers
your answer would be -239.45.
356.54
-595.99
-------------
-239.45
Suppose the population of a town is 9800 and is growing 4% each year a. Write an equation to model the population growth b. Predict the population after 12 years
Answers
Answer:
what only 5 points
Step-by-step explanation:
ha give me 5 star and a heart thanks
The maximum temperature is: ______________________
Answers
Answer:
56.7C
Step-by-step explanation:
The highest temperature on the was 56.7C and it is recorded in United States on 10 July 1913
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
Answers
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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A reporter for a local television station visits the city's new upscale shopping mall the day before Christmas to interview shoppers. He questions the first 25 shoppers he meets outside one of department stores at the mall. He asks them whether their overall feelings about Christmas shopping are positive, neutral, or negative. re Select the reason(s) why it may be risky to act as if the first 25 shoppers at this particular location are an SRS of all shoppers in the city. Shoppers at the mall the day before Christmas does not guarantee every shopper in the population has an equal chance to be in the sample Surveying shoppers the day before Christmas is a convenience sample, so it is a simple random sample Surveying shoppers at the mall the day after Christmas may not be a good represenation of all shoppers in the city. Having the reporter ask questions is not a double-blind study.
Answers
The correct option is A shopping center surveys conducted the day before Christmas do not guarantee that every shopper in the population will be included in the sample.
Given that,
The day before Christmas, a reporter from a nearby television station goes to the city's brand-new, upmarket retail center to speak with customers. The first 25 customers he encounter outside one of the mall's department stores are questioned. He inquires as to whether they have a positive, neutral, or negative overall opinion of Christmas shopping.
We have to select the correct option why it might be dangerous to assume that the first 25 customers at this store are representative of all customers in the city.
We know that,
A non-probability sampling technique called convenience sampling includes taking a sample from the nearest area of the population. It is a convenience sample because the reporter in the scenario asked the first 25 people he saw outside one of the department stores at the mall. Each candidate does not have an equal chance of being included in the convenience sample.
The right response is option (A): Shopping center surveys conducted the day before Christmas do not guarantee that every shopper in the population will be included in the sample.
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The three-dimensional figure below is a cylinder with a hole in the shape of a rectangular prism going through the center of it.
The radius is 10 yards. Find the volume of the solid in cubic yards, rounded to the nearest ten. Use 3.14 for pie.
A. 1,980
B. 1,788
C. 1,034
D. 1,884
Answers
Answer:
B. 1788
Step-by-step explanation:
The volume of solid shaped is expressed in cubic yards. The sides of the shape are multiplied or powered as 3 for the volume determination. Volume is the total space covered by the object. It includes height, length, width. The three dimensional objects volume is found by
length * height * width
The volume for current object is :
12 * 28 * 5
= 1788 cubic yards.
Answer: 1778
Step-by-step explanation:
because Ik I had the question
What is necessary to prove a statement is true?
Answers
Answer: Following the general rule for universal statements, we write a proof as follows:Let be any fixed number in .There are two cases: does not hold, or. holds.In the case where. does not hold, the implication trivially holds.In the case where holds, we will now prove . Typically, some algebra here to show that .
Step-by-step explanation: that is not math but whatever
What is the total weight of the bags that weighed /8 pound each?
Answers
The total weight of Rice that Mark buys is given as follows:
2.5 pounds.
How to obtain the total weight?The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.
The weight of each bag is given as follows:
5/8 pounds = 0.625 pounds.
The number of bags is given as follows:
4 bags.
Hence the total weight of Rice that Mark buys is given as follows:
4 x 0.625 = 2.5 pounds.
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A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
Answers
8+3+1=12
1-3/12=3/4