Find the zeros of y = x2 - 6x - 4 by completing the square.
A. x=-34/13
B. X- 3+ 118
CX13
D. x 316
Answers
Answer:
x = 3 ± \(\sqrt{13}\)
Step-by-step explanation:
Given
y = x² - 6x - 4
To find the zeros let y = 0, that is
x² - 6x - 4 = 0 ( add 4 to both sides )
x² - 6x = 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 4 + 9 , that is
(x - 3)² = 13 ( take the square root of both sides )
x - 3 = ± \(\sqrt{13}\) ( add 3 to both sides )
x = 3 ± \(\sqrt{13}\) ← exact solutions
Related Questions
what is the height of a rectangular prism that has a volume of 28- meters cubed, a length of 8 meters and a width of 7 meters,
Answers
PLEASE NO WRONG ANSWERS
What is the sum of the angle measures in this shape?
A) 180∘
B) 540∘
C) 720∘
D) 360∘
Answers
Answer:
B) 540
Step-by-step explanation:
To find the sum of interior angles of a polygon, we can use the following formula:
(n-2)·180, where n is the number of sides the polygon has.
In this case, this polygon has 5 sides, which makes it a pentagon.
(n-2)·180
substitute
(5-2)·180
simplify
3·180
=540
So, the total sum is 540°.
Hope this helps! :)
Answer: B) 540 degrees
Step-by-step explanation:
The formula for interior angles of a polygon is 180(n-2). N is the number of sides.
Plug the given values into the equation:
180(5-2)=180*3=540
The sum of exterior angles of any polygon is 360 degrees. This problem didn't specify, so I would assume it's talking about interior angles, so the answer would be 540 degrees.
Help :l Thank you very very very much...
Answers
Answer:1152 ft^2
Step-by-step explanation:
Explanation…..
papi mario was born in 1932 and is still alive in 2021, how old is papi mario
Answers
Answer:
89
Step-by-step explanation:
Pls help! Will give brainliest!!
Answers
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30
(2x+7) x = 30
you can distribute to make this easier
2x^2 + 7x = 30
you can plug this into quadratic formula by setting the equation =0, so:
2x^2 +7x -30 = 0
where 2x^2 = a
7x = b
and -30 = c
you can plug this into your calculator and get an answer of
X = 2.5
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
What is the solution of the equation n+13=30 ?
Answers
Answer:17
Step-by-step explanation:
1) 30 -13=17
n=17
4.2v - 5 - 6.5v
simplify the expression
Answers
Help!!!!
Mrs. Jones wants to paint the back wall of her classroom light blue. If the dimensions of the wall is 20 feet by 12 feet, how much paint will she need to paint her classroom wall? Round to the nearest tenth if necessary.
Answers
Answer:
The total area of the back classroom wall is (20ft x 12ft) = 240ft²
The paint coverage is usually rated by area coverage. For example, one gallon of paint is expected to cover 400 ft².
Assuming a gallon of paint will cover 400ft², she will need (240ft²/400ft²) = 0.6 gallon of paint to cover the entire wall.
Mrs. Jones will need 0.6 gallon of paint to paint the back classroom wall.
what is the greatest common factor of 14 and 20
Answers
Answer:isn’t
Step-by-step explanation:it 2
The greatest common factor of 14 and 20 is 2 .
Given,
HCF of 14 and 20
Now,
To calculate the HCF of 14 and 20,
Firstly obtain the factors of 14 and 20
14 = 2 × 7
20 = 2 × 2× 5
Now ,
The greatest common factor of 14 and 20 will be 2 .
Know more about HCF,
https://brainly.com/question/29114178
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A company uses paper cups shaped like cones for its water cooler. Each cup has a volume of 392.5. The cooler has 18,840cm of water in it. How many cups can be filled from the cooler?
Answers
Answer:
The water in the cooler can fill 48 cups.
Step-by-step explanation:
In order to find how many cups can be filled by the cooler we need to calculate the volume of water each cup can hold up at a time. Since the cups are cone shaped their volume is given by:
Volume of cup = (1/3)*pi*(r^2)*h
Volume of cup = (1/3)*3.14*(5^2)*15 = 392.5 cm^3
Now we divide the amount of water in the cooller by the individual volume each cup can hold to determine the number of cups that can be filled up.
Number of cups = Total volume of water/ Volume of each cup
Number of cups = 18840/392.5 = 48 cups
hope this helped/helps :)
V = (1/3)πr^2h
If each cup has a volume of 392.5, then the volume of water in n cups is given by:
V = n(392.5)
We want to find how many cups can be filled from the cooler, so we need to solve for n. We know that the cooler has 18,840cm of water in it. Therefore, we can set up the equation:
V = (1/3)πr^2h
18840 = (1/3)π(3)^2h
Solving for h, we get:
h = (18840 * 3)/(9π)
h ≈ 670.82
Now we can solve for n:
n(392.5) = (1/3)π(3)^2(670.82)
n ≈ 57.86
Therefore, the company can fill about 57 cups from the cooler. Since we can't have a fraction of a cup, we would round down to 57 cups.
Pls answer it i will give brainly and no links pls ty worth 29 points
Answers
Answer:
7.5mph (1 d.p)
Step-by-step explanation:
First, I worked out what a third of an hour was to match the unit mph.
60 minutes / 3 = 20 mins
A third of an hour is 20minutes so two thirds of an hour is 40 minutes.
But as we know, one third as a decimal is 0.33(reccuring) so therefore two thirds as a decimal is 0.66, which we need to use.
Now, we need to remember the equation. Speed = distance / time
Place the facts we already know in place.
speed = 5miles / 0.66 (using a calculator.)
speed = 7.5mph (1 d.p)
Hope this helps and you have a good day!
20 points to whoever gets these right!! <3
Answers
Answer:
1st one 8/20
Step-by-step explanation:
I need help with this but take your time it is early!
Show work and how you got the answer please!
Answers
Answer:
Each part is 3.5 inches long.
Step-by-step explanation:
The ruler has a length of 7-inches, so when you want to split it directly in half, you divide 7/2. This is the number 3.5 inches. On the ruler you can see when looking at the first segment that it goes from 0 inches to half-way between 3 inches and 4 inches, which is 3.5 inches.
Answer:
3 1/2 inches
Step-by-step explanation:
theres isn't much work to show, other then looking at the ruler you can see that the line divides them at 3 1/2
Help!
The number of cookies that were made at a bakery for each of seven days is shown:
108, 96, 96, 84, 108, 240, and 84
The best measure of center for this data set is the-
A: median because all of the values are close to one another in value
B: mean because all of the values are close to one another in value
C: median because 240 is much higher than the other numbers in the data set
D: mean because 240 is much higher than the other numbers in the data set
Answers
The data set is as follows: 108, 96, 96, 84, 108, 240, and 84.
The median represents the middle value when the data set is arranged in ascending or descending order. In this case, when we arrange the data in ascending order, we have: 84, 84, 96, 96, 108, 108, 240. The middle value is 96, which is the fourth value in the sorted data set.
The mean is calculated by summing up all the values and dividing by the total number of values. In this case, the sum of the values is 756 (108 + 96 + 96 + 84 + 108 + 240 + 84), and there are seven values. Therefore, the mean is 756/7 = 108.
Comparing the options:
A: median because all of the values are close to one another in value - This is not accurate as the values vary, and the median is not necessarily the best measure of center based on the values being close to one another.
B: mean because all of the values are close to one another in value - This is not accurate as the values are not all close to one another, and the mean is not necessarily the best measure of center based on the values being close to one another.
C: median because 240 is much higher than the other numbers in the data set - This is not accurate as the presence of a single high value does not automatically make the median the best measure of center.
D: mean because 240 is much higher than the other numbers in the data set - This is the most accurate option. The mean takes into account the magnitude of each value and is influenced by extreme values. The value 240 has a significant impact on the mean, making it a better measure of center in this case.
Therefore, the best measure of center for this data set is D: mean because 240 is much higher than the other numbers in the data set.
Combine like terms to simplify the expression. 10x - 3 + 5x + 8 - 2x
Answers
Start by adding the numbers-
10x - 3 + 5x + 8 - 2x
10x +5 + 5x -2x
Combine like terms-
10x+ 5+ 5x-2x
13x+5
13x+5 would be your answer. Hope this helps! o(〃＾▽＾〃)o
Steps below:
In the liyue, a
|| e,m || n and mz1=108
What is the mz3?
Enter your answer in the ton
Answers
Answer:
the measure of angle 3 is 108°
Step-by-step explanation:
if the measure of angle 1 is 108°, it is a corresponding angle with the one vertical to 3. vertical angles are the same value so angle 3 is 108°
Jose bought 11 pounds of rice for $6.
How many dollars did he pay per pound of rice?
Answers
Answer:
Step-by-step explanation:
66
Answer:
0.6
Step-by-step explanation:
we have :
10 pounds of rice
→
6
$
1 pound of rice
→
x
$
we need to find
x
x
1
=
6
10
→
x
=
6
×
1
10
=
3
5
=
0.6
I hope that was clear
The remaining length (L) of 120-inch rope after x inches have been cut off:120-X=L
Answers
Answer:
Step-by-step explanation:
Solve it
Answer: see the procedure
we know that
A relationship between two variables, x, and y, represents a proportional variation if it can be expressed in the form or
In a proportional relationship, the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have
The remaining length (L) of the 120-inch rope after x inches have been cut off
we have
L ---> is the dependent variable (output variable)
x ---> the independent variable (input variable)
The linear equation is
The equation does not represent a proportional relationship, because the line does not pass through the origin
Step-by-step explanation:
Use what you know about powers to explain why a0 = 1
Answers
(BRAINLIEST TO CORRECT ANSWER ONLY)
Jane's dog weighed 43 pounds and 3 ounces last year. She gained 13 ounces this month. How many pounds does she weigh now?
Options:
A. 43
B. 44
C. 45
D. 46
Answers
can someone please help? take ur time btw! giving 25 points
Answers
Answer:
-2/45
Step-by-step explanation:
First, make term a into an improper fraction:
\(a=1\frac{3}{5} =\frac{8}{5}\)
Now, plug in all terms to the equation:
\(\frac{-|\frac{8}{5}+(-2)|}{2-(-7)}\)
Simplify the Numerator:
\(\frac{-|-\frac{2}{5}| }{2-(-7)}\)
Note that the absolute value of a negative value is the same positive value:
\(\frac{-|\frac{2}{5}| }{2-(-7)}\)
Simplify the Denominator:
\(\frac{-|\frac{2}{5}| }{9}\)
Now Simplify: (You can remove the absolute value at this point)
\(\frac{-\frac{2}{5} }{\frac{9}{1} }\)
Simplify:
\(-\frac{2}{5}*\frac{1}{9}=\frac{-2}{45}\)
Therefore, your anwer is -2/45
Need Help!!
What are the zeros of the function shown in the graph?
The graph will be under the answers
Answers:
−1, 1, 2
−2, −1, 1
−3, −1, 1
−1, 1, 3
Answers
will give brainlieist !! look at the image please
Answers
Answer:
Ok cool I looked at it
Step-by-step explanation:
Answer:
click the crown to give brainiest
Step-by-step explanation:
Claire bought 180 candies and 140 pens for goody bags for her birthday. What is the largest number of goody bags that Claire can so that each goody bag has the same number of candies and the same number of pens?
(All candies and pens should be used)
Answers
Answer:
20
Step-by-step explanation:
See in the picture it is from Brainly. Hope this person have helped.
Answer:
20
Step-by-step explanation:
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
please help I dont know how to do this.
Answers
Answer: The expression would be 2b+7
Step-by-step explanation:
b will be the number of blue beads for the bracelet.
The number of red beads will be represented as b + 7.
Determine the expression for the total number of beads.
Then we can written it as,
= b + (b +7)
= 2b + 7.
:)
Which statement compares the fractions two fourths and five twelfths correctly?
two fourths is less than five twelfths
two fourths is greater than five twelfths
five twelfths is equal to two fourths
five twelfths is greater than two fourths
Answers
Answer:
B. two fourths is greater than five twelfths
Step-by-step explanation:
2/4 is greater than 5/12
I like to ask myself this question: would i rather have 1/2 of a pizza or 5/12 of a pizza? that’s how you know which one is greater
PLEASE HELP
Pair the cards which are additive inverses (when added the sum is zero).
Answers
What is the measure of the missing angle?
A) 30∘
B) 31∘
C) 32∘
D) 33∘
HELP PLEASE LOOK AT THE IMAGE NO WRONG ANSWERS
Answers
Add all the answers up and you get 327
All the angles added up should equal to 360
360-327= 33
Answer:
D) 33 degrees
Step-by-step explanation:
All interior angles of a quadrilateral must equal 360 degrees.
We have 3/4 angles, so let's write an equation:
360=x+265+32+30
simplify
360=327+x
subtract 327 from both sides
33=x
So, D is the correct option.
Hope this helps! :)