Answer:
The answer is 7 bc 7 is half of 14
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
x²-10x – 15 = 0, which number would have to be added to "complete the
square"?
Answer:
For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.
Completing the square comes from considering the special formulas that we met in Square of a sum and square of a difference earlier:
(x + y)2 = x2 + 2xy + y2 (Square of a sum)
(x − y)2 = x2 − 2xy + y2 (Square of a difference)
To find the roots of a quadratic equation in the form:
\displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax
2
+bx+c=0,
follow these steps:
(i) If a does not equal \displaystyle{1}1, divide each side by a (so that the coefficient of the x2 is \displaystyle{1}1).
(ii) Rewrite the equation with the constant term on the right side.
(iii) Complete the square by adding the square of one-half of the coefficient of x to both sides.
(iv) Write the left side as a square and simplify the right side.
(v) Equate and solve.
Example 1
Find the roots of x2 + 10x − 4 = 0 using completing the square method.
Answer
Example 2
Solve 4x2 + x = 3 by completing the square.
Answer
Exercises
Solve the following quadratic equations by completing the square
Q1. \displaystyle{2}{s}^{2}+{5}{s}={3}2s
2
+5s=3Answer
Q2. \displaystyle{3}{x}^{2}={3}-{4}{x}3x
2
=3−4xAnswer
Q3. \displaystyle{9}{v}^{2}-{6}{v}-{2}={0}9v
2
−6v−2=0Answer
Q4. \displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax
2
+bx+c=0Answer
1. Solving Quadratic Equations by Factoring
3. The Quadratic Formula
Which are the partial products for 8x362? Select all that apply.
Answer:
Are you guys classmates?
You are raising money by holding a bake sale at school. You have a budget of $100 to set up the bake sale. You provide volunteers with $40 of materials. Each table that you plan to rent costs a flat rate of $10. How many tables can you rent?
Answer:
6 Tables
Step-by-step explanation:
100 = 10x + 40
60 = 10x
6 = x
good luck, hope this helps :)
6 tables
100-40=60
each table = 10
60 divided by 10=6
One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
x = 5y - 6 This is just the first sentence written as an equation.
x + y = 60 This is just the second sentence written as an equation.
5y - 6 + y = 60 Substitute x for what you know it is equal to
6y - 6 = 60 Collect like terms
6y = 66 Add 6 to each side
y = 11 Divide each side by 6
x = 5 × 11 - 6 Substitute y for what you know it is
x = 55 - 6 Simplify by working out 5 × 11 = 55
x = 49 Subtract 6 from 55 to get 49
In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of five subjects are possible
Answer:
1,712,304 ways
Step-by-step explanation:
This problem bothers on combination
Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;
48C5 = 48!/(48-5)!5!
48C5 = 48!/43!5!
48C5 = 48×47×46×45×44×43!/43!5!
48C5 = 48×47×46×45×44/5!
48C5 = 205,476,480/120
48C5 = 1,712,304
Hence this can be done in 1,712,304ways
PLEASE HELP I'M SOO CONFUSED AND IT'S DUE TODAY!!!!!!!!!!!!!...I HAVE A LOT OF WORK TO DO TODAY AND I JUST NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
2 Triangles with the bilateral of the sun to the 2nd power of pie
Step-by-step explanation:
I took the test ;)
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
Find the missing leg?
Answer:
11
Step-by-step explanation:
13×13 = 169
17 × 17 = 289
289 - 169 = 120
Square root of 120 is 10.95
Round answer to 11
-[52-[36-58(24x82) x36] +(-42)]=
Answer:
- [52 - [36 - 58 (24 x 82) x 36] + (-42)] = −4109158
There are 120 counters in a bag.
40% of the counters are red.
3/8 of the counters are yellow.
The rest of the counters are green.
Find what fraction of the counters are green.
Answer:
9/40
Step-by-step explanation:
120 × ⅖ = 48
120 × ⅜ = 45
120 - 93 = 27
27/120 = 9/40
Based on the proportions and the counters in the bag, the fraction that is green is 9 / 40.
Number of Green countersYou can find the number of green counters by:
= Number of counters - Red counters - Yellow counters
= 120 - (120 x 40%) - (120 x 3/8)
= 120 - 48 - 45
= 27 green counters
Fraction of green counters= Number of green counters / Total number of counters
= 27 / 120
To take it to the lowest term, divide both numbers by 3:
= 9 / 40
In conclusion, the fraction is 9 / 40.
Find out more about fractions at https://brainly.com/question/17743912.
y=3x+−7
Find the slope.
A. 7
B. -7
C. 3x
D. 3
Answer:
D.3
Step-by-step explanation:
In the equation for a line in the form y=mx+c, m represents the slope.
Therefore the slope is 3.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + - 7 ← is in slope- intercept form
with slope m = 3
3/8÷5/2
..
..
.
.
.
.
.
.
.
.
.
.
.
.
.
Answer:
3/20
Step-by-step explanation:
-12 + 2t = - 14
Solve for t
Answer:
-1
Step-by-step explanation:
-12 + 2t = -14
12 + -12 + 2t = -14 + 12
2t = -2
2t/2 = -2/2
t = -1
OOPS my submitted answer was wrong.
Submitting this is so you can give other person points! :]
What is the quotient of 3/7 and 14?
Answer:
Answer down below
Step-by-step explanation:
If its 3/7 divided by 14 it is 3/98
If its 14 divided by 3/7 it is 98/3
Hope this helps
Find the midpoint of the interval [-3, 6] along the number line.
Answer:
1.5 or 3/2
Step-by-step explanation:
The midpoint of the interval [-3, 6] along the number line is 1.5.
The midpoint of an interval is the point that lies exactly in the middle of the two endpoints.
To find the midpoint of the interval [-3, 6], we use the midpoint formula:
Midpoint = (Endpoint1 + Endpoint2) / 2
In this case, Endpoint1 is -3, and Endpoint2 is 6:
Midpoint = (-3 + 6) / 2
Midpoint = 3 / 2
Midpoint = 1.5
The midpoint of the interval [-3, 6] is 3/2. This means that the point exactly halfway between -3 and 6 on the number line is 1.5 units to the right of -3 and 1.5 units to the left of 6.
Visually, if you plot -3 and 6 on a number line, the midpoint 3/2 (or 1.5) would be located at the center, equidistant from both endpoints.
To know more about number:
https://brainly.com/question/30328809
#SPJ2
A random sample of 1000 people who signed a card saying they intend to quit smoking were contacted 9 months later. Turned out that 210 (21%) of the sampled individuals had not smoked in the past 6 months. What is the population, parameter, sample and statistic?
Answer:
Population is the total number of people that fall into the description of those that the research concerns.
In this case, Population is: Everyone who signed a card saying that they intend to quit smoking.
Sample. This is a subset of the population that the research is based on.
Sample = 1,000 people surveyed.
Parameter and Statistic are both descriptive measures but parameter is for the population and statistic is for the sample.
Parameter = Percentage of total population who have not smoked in 6 months.
Statistic = 21% of sample who have not smoked in 3 months.
What is the equation for a line that passes through the points (-4,-3) and (8,12)?
Answer:
y = 1.25x + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
( -4 , -3 ) ( 8 , 12 )
12 + 3 15 = 5
8 + 4 12 = 4
↑ slope = 5/4
↓ point slope form: y - y₁ = m ( x - x₁ )
y + 3 = 5/4 ( x + 4 )
y + 3 = 5/4x + 5
-3
y = 5/4x + 2
Is the following g relation a function?
-yes
-No
Given:
The arrow diagram of a relation.
To find:
Whether the given relation is a function or not.
Solution:
A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.
From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.
Since we have more than one value of y at x=-1, therefore, the given relation is not a function.
Hence, the correct option is B.
Which of the following values is the solution to the equation
-16 + x = -30 ?
-2
-14
-46
-480
Answer:
-14
Step-by-step explanation:
so we see -30-(-16)=-30+16=(-14)
hope it helps you
please mark me as brainlist
2/7 of the person at a concert are children 1/4 and men and the rest women what fraction are women
Answer:
15/28 are women
Step-by-step explanation:
2/7 + 1/4 + x = 100%
2/7+1/4= 15/28
9514 1404 393
Answer:
13/28
Step-by-step explanation:
The fraction that are women is found by subtracting the given fractions from 1.
1 - 2/7 - 1/4 = 28/28 -8/28 -7/28 = (28 -8 -7)/28 = 13/28
The fraction that are women is 13/28.
360 miles in 6 hours unit rate
Answer:
60 miles per hour
Step-by-step explanation:
360 miles / 6 hours = 60 miles per hour
Answer:
60, I hope this helped and please mark brainliest!
Step-by-step explanation:
This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.
use the table to solve the equation -6x>18
The answer is,
[tex]x < - 3[/tex]
Someone please help!
Answer:
10=1x+25
slope=1
y-int-25
Thats all i know so far i will keep working on it
Step-by-step explanation:
Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?
Answer:
6-7 dollars maybe?
Step-by-step explanation:
you didn't give a picture so Im just rounding
(sorry if I'm wrong)
Solve for x, Round to the nearest 100th if needed.
x13+18=49
x=?
Step-by-step explanation:
X=49-18/13
X=31/13
X=2.38
so nearest 100 th would be 2.4
A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?
Answer:
Each costume will take 7 1/3 yards of green fabric
Step-by-step explanation:
They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.
Mr. Patel bought lunch at a restaurant for $7.35. If he paid with a $10.00 bill, how much change did he get back?
A.
$2.55
B.
$2.65
C.
$3.35
D.
$3.65
Answer:
b. $2.65
Step-by-step explanation:
$10.00 - $7.35 = ?
$10.00 - $7.35 = $2.65
Answer:
your answer would be b. $2.65
so it said to pick which statement is true about the measurements of angles ABC. so I said B, can someone check if this is correct please
Answer:
Its c.
Step-by-step explanation:
Because B is the smallest point on that picture.
BrainliesT?
Answer:
your answer is correct
Step-by-step explanation:
have A great day
a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line
Answer:
Step-by-step explanation:
(27 - 23)/(8 - 4)= 4/4= 1
y - 23 = x - 4
y = x + 19