Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:
[tex]x = \frac{-b +- R }{2*a}[/tex]
Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R
[tex]x = \frac{-b +- C*i }{2*a}[/tex]
We have two complex solutions.
If D = 0
√0 = 0
then:
[tex]x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}[/tex]
We have only one real solution (or two equal solutions, depending on how you see it)
Answer:
B (–4, –12)
Step-by-step explanation:
If its even the right question
Consider this question:
-2x=x^2-6
1) Rewrite the question by completing the square. Your equation should look like (x+c)^2=d or (x-c)^2=d.
2) What are the solutions to the equation?
Answer:
see explanation
Step-by-step explanation:
(1)
Given
- 2x = x² - 6 ( subtract x² from both sides )
- x² - 2x = - 6 ( multiply through by - 1 )
x² + 2x = 6
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 6 + 1
(x + 1)² = 7
(2)
Take the square root of both sides
x + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )
x = - 1 ± [tex]\sqrt{7}[/tex]
Solutions are x = - 1 - [tex]\sqrt{7}[/tex] , x = - 1 + [tex]\sqrt{7}[/tex]
Eight more than twice a number is eight. Find the number.
Answer:
Step-by-step explanation:
2x + 8 = 8
Subtract 8 from both sides.
2x = 0
Divide both sides by 2.
x = 0
The required number, eight more than twice a number is eight, is 0.
Given that,
To find the number which is eight more than twice a number is eight.
The technique in computation to use and analyze the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it vends on a number of procedures according to the declarations. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,
Let the number be x,
The eight more than twice a number is eight. So,
8 = 2x + 8
2x = 0
x = 0
Thus, the required number, eight more than twice a number is eight, is 0.
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It says to list the new points of W’ X’ Y’ Z, could anyone please help?
Answer:
x -2,2
Y -4,3
z -4,6
w -2,6
A retailer sold a vacuum cleaner for 40% below its marked price. The sale price was 50% above the cost to the retailer. What is the ration of marked price to cost?
Answer:
10 : 9
Step-by-step explanation:
Given that a retailer sold a vacuum cleaner for 40% below its marked price.
Let the marked price = P
40% below = (100 - 40)P/100
Sale price = 60P/100
Sale price = 0.6P
The sale price was 50% above the cost to the retailer.
That is, cost price = (100 + 50)0.6P/100
Cost price = (150)0.6P/100
Cost price = 1.5 × 0.6P
Cost price = 0.9P
What is the ratio of marked price to cost?
The ratio will be = P/0.9P
Multiply both the numerator and denominator by 10
Ratio = 10 : 9
Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically in her wall while remaining below this maximum. So, she constructs the expression 0.4x + 0.6 to measure the height of her wall, where all constants represent measurements in meters. Which of the following statements are true? Select all that apply. 0.4 represents the height of the wall. 0.4 represents the height of the base. 0.4 represents the height of each block. 0.6 represents the height of the wall. 0.6 represents the height of the base. 0.6 represents the height of each block.
Answer:
The correct option is;
0.4 represents the height of each block
Step-by-step explanation:
The information given are;
Kirima first builds a firm base of a given height
Kirima is building her wall using uniformly sized bricks
the height of the wall she is building depends on the number of blocks stacked to form the wall
Therefore, variable that depends on other variable, which is the dependent variable, y, is the height of the wall
The independent, which determines the value of the dependent variable is the number of blocks added, x
The gradient of the equation is the height of each block = 0.4
The y-intercept is the starting value, which is the firm base of dimension, 0.6
Therefore, 0.4 represents the height of each block.
Question 5(Multiple Choice Worth 4 points) (08.02)The number in the middle of a data set best describes which of the following? Mean Median Range Mean absolute deviation
Answer: (Median)
Sorry, I'm a bit late but I got 100% on my test!
Hope this helps!
Which number is irrational?
A.
19
B.
V10
C.
V16
D
25
E.
136
Answer:
v10
Step-by-step explanation:
Solve the equation
v²=8
v≈ __ (Type an integer or a simplified fraction.)
Answer:
v =2
Step-by-step explanation:
v^3 = 8
Take the cube root of each side
v^3 ^ (1/3) = 8 ^1/3
v = 2
Hellp me solve this thanks
Answer:
c. 10 cm
Step-by-step explanation:
The parallel sides of trapizium are the bases so
base 1(B1) =9cm , base(B2)= 12cm
[tex]area(a) = 105 {cm}^{2} [/tex]
the perpendicular distance means the height so lets find the height
area of trapizium= B1 + B2 × h
2
[tex] {105cm}^{2}(the \: given \: area) = \frac{9cm(the \: given \: base) + 12cm(the \: given \: base)}{2} \times h[/tex]
[tex] {105cm}^{2} = \frac{21cm}{2} \times h[/tex]
now we crisscross
[tex] {105cm}^{2} \times 2 = 21cm \times h [/tex]
[tex] {210cm}^{2} = 21cm \times h[/tex]
[tex] \frac{ {210cm}^{2} }{21cm} = \frac{21cm \: }{21cm} \times h[/tex]
h = 10 cm
hope u like it ❤️❤️❤️
For any question comment me
Round 7.21 to the nearest whole number.
Answer:
7.21 ≈ 7Step-by-step explanation:
If you are rounding to the whole number you are rounding to ones so you need to look at the tenth digit:
2<5 so 7 stays the same (rounding down)
7.21 ≈ 7
The nearest whole number for the given number is 7.
What is rounding off?To change a number into an approximation having fewer significant digits. For example :-
Round off 15.4 to 15, round off 15.51 to 15.5 or to 16, round off 0.499 to 0, and round off 970,000 to 1 million.
Given is a number 7.21,
We know that, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up.
Since, numbers after the decimal is not greater than 5, therefore, it will not change and will remain 7.
Hence, the required whole number is 7.
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Triangle ABC is a right triangle, angle B is the right angle, angle A is
8x + 2, and angle C is 9x + 3.
What is the measurement of angle A?
ОООО
5°
42°
45°
48°
plz help quick i will mark u brainiest its about transishons
Answer:
(x,y) --> (x+4, y-5)
Step-by-step explanation:
A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)
plz help me I need it urgently
Answer:
answer to the question is $600
Multiply.
5 /11 x 2/7
Answer:
So the answer is 10/77 in decimal is 0.12987
1+1 is what because I’m really confused on this question and answer is it...idk 4
Answer:
2
Step-by-step explanation:
1+1=2
What is the probability of choosing a number 1 - 10 that is
greater than 5 or even?
Answer:
70%
Step-by-step explanation:
So, first, our set of choices is 10. This means that there are 10 choices.
We want a number that is greater than 5 or even. Thus, let's mark down all of our choices.
Numbers greater than 5 are:
6, 7, 8, 9, and 10.
Even numbers are:
2, 4, 6, 8, 10.
However, we already counted 6, 8, and 10 previously, so we'll ignore that.
All in all, the following numbers will satisfy our requirements:
2, 4, 6, 7, 8, 9, and 10.
This is 7 out of 10 numbers.
Therefore, our probability is:
[tex]7/10=70\%[/tex]
can you show me the full formula i will reward you with 10 points
Answer:
The formula is 4x+3x+2x=180.
x= 20
a= 40
b= 80
c= 60
Step-by-step explanation:
The expression is the angle measurments equaled to 180 degrees because they all make up a straight line (180 degrees).
You then find the other angle measurments by identifying the verticle angles.
For example, 3x= 60 degrees. Therefore angle C= 60 because it is verticle to 3x
I need help. I’m not understanding this question
the answer is letter c.
Answer:
D
Step-by-step explanation:
slope=(-2-7)/(3-0)=-9/3=-3
f(x)-7=-3(x-0)
f(x)=-3x+7
Take any two points .
I took (0,7) and (3,-2),then slope=(y2-y1)/(x2-x1)=(-2-7)/(3-0)=-9/3=-3
you can take any two points.
Let us take (-6,25) and (-3,16)
slope=(16-25)/(-3-(-6))=-9/(-3+6)=-9/3=-3
eq. of line is
y-y1=m(x-x1),here m=-3
y-25=-3(x-(-6))=-3(x+6)=-3x-18
y=-3x-18+25
y=-3x+7
Here y=f(x)
Please help! the other 2 are always, sometimes, or never!
Answer:
2.60
Step-by-step explanation:
what is the answer h+6\5=2
Answer:
h = 4/5
Step-by-step explanation:
h + (6/5) = 2
h = 2 - (6/5)
h = (10/5) - (6/5)
h = (10-6)/5
h = 4/5
Check:
(4/5) + (6/5) = 2
10/5 = 2
The solution to the equation h + 6/5 = 2 is h = 4/5.
Given is an equation h + 6/5 = 2, we need to solve for h,
To solve the equation h + 6/5 = 2, we need to isolate the variable h on one side of the equation.
Let's begin by subtracting 6/5 from both sides of the equation to get rid of the term on the left side:
h + 6/5 - 6/5 = 2 - 6/5
Simplifying the equation:
h + (6/5 - 6/5) = 2 - 6/5
The term (6/5 - 6/5) is equal to 0, so we have:
h + 0 = 2 - 6/5
Simplifying further:
h = 2 - 6/5
To combine the fractions on the right side, we need a common denominator, which in this case is 5.
We can convert the whole number 2 into a fraction with a denominator of 5:
h = (2 x 5)/5 - 6/5
This becomes:
h = 10/5 - 6/5
Now we can subtract the fractions:
h = (10 - 6)/5
Simplifying:
h = 4/5
Therefore, the solution to the equation h + 6/5 = 2 is h = 4/5.
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Which point is an x-intercept of the quadratic function f(x)=(x-8)(x+9)
Step-by-step explanation:
An x-intercept of a function occurs when f(x) = 0.
In f(x) = (x-8)(x+9), f(x) will be 0 if either (x-8) is 0 or (x+9) is 0.
Hence, f(x) = 0 when x = 8 or x = -9.
Answer:
The answer is D. (-9,0) on edge
Step-by-step explanation:
Of the 75 boys in the 7th grade class, 25 participate in at least one sport. Of the 120 girls in the 7th grade class, 30 participate in at least one sport. Does this and its corresponding table show a proportional relationship? Explain why it does or does not show a proportional relationship.
2(3x–1)=9(x–2)–7 pls find x
Answer:
Step-by-step explanation: multiply 2 with 3x-1
6x-2
multiply 9 with x-2
9x-18
form equation:
2(3x-1)=9(x-2)-7
or, 6x-2=9x-18-7
or, 9x-18-7=6x-2
or, 9x-6x= -2+18+7
or, 3x=23
or, x=23/3
Ans: x= 7.67
i am confused in this can someone help?
Answer:
[tex]\huge\boxed{\sf a = -12 , b = 8}[/tex]
Step-by-step explanation:
Given polynomial is:
[tex]f(x) = ax^3+ b^2 + 3x + 4[/tex]
[tex]\rule[225]{225}{2}[/tex]
First factor is (x-1)
Let x - 1 = 0 => x = 1
Putting this in the above polynomial
[tex]f(1) = a(1)^3 + b(1)^2 + 3(1) + 4[/tex]
Given that it's remainder is 3
[tex]3 = a + b + 3 + 4[/tex]
[tex]3 = a + b + 7[/tex]
Subtracting 7 to both sides
[tex]-4 = a + b\\OR \\[/tex]
a + b = -4 -------------------------- (1)[tex]\rule[225]{225}{2}[/tex]
Second Factor is 2x + 1
Let 2x + 1 = 0 => x = - 1 / 2
Putting in the above polynomial
[tex]f(-\frac{1}{2} ) = a (-\frac{1}{2} )^3 + b (-\frac{1}{2} )^2 + 3 (-\frac{1}{2} ) + 4[/tex]
The remainder is 6
[tex]6 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2} + 4\\6 - 4 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2}\\2 = \frac{-a + 2b -12 }{8} \\-a + 2b - 12 = 16\\-a + 2b = 16 + 12\\[/tex]
-a + 2b = 28 --------------------------------(2)[tex]\rule[225]{225}{2}[/tex]
Adding both equations
a + b - a + 2b = -4 + 28
3b = 24
Dividing both sides by 3
b = 8
[tex]\rule[225]{225}{2}[/tex]
Putting b = 8 in Equation (1)
a + 8 = -4
a = - 4 - 8
a = -12
[tex]\rule[225]{225}{2}[/tex]
According to the US food and drug administration (fda) what must any product claiming to be organic contain
Answer:at least 95% organically produced ingredients
Step-by-step explanation: Trust me it is the right answer i took the quiz
Which of these represents an integer? Select all that apply. (There should be two anwsers) A. -3 B. 4 C. 2 1/2 D. 8/4
player
100%
X Pri
A total of 400 students were surveyed at a college to see if they live in on-campus dorms or if they live off-campus. The table shows the results of
the survey
Dorms Off-Campus Total
Freshman 88 12 100
Sophomore 62 38 100
Junior 43
57 100
Senior 25 75 100
Total 218 182 400
What percentage of the students surveyed live off-campus?
O A 18.25
OB. 41.29
OC 45.55
OD 83.55
RESET
Question #24
DELL
Answer:
[tex]\%Off-Campus = 45.5\%[/tex]
Step-by-step explanation:
Given
----------------------Dorms ---- Off-Campus ---- Total
Freshman -------- 88 ------ ---------12 ------- 100
Sophomore ------62 ---------------38 --------- 100
Junior --------------43 ----------------- 57 ---------- 100
Senior -------------25 -----------------75 ------------ 100
Total ---------------218 -------------182 --------------400
Required
Determine the percentage of off-campus students
From the above table, we have that:
[tex]Off-Campus = 182[/tex]
[tex]Total\ Surveyed = 400[/tex]
The percentage is then calculated as follows;
[tex]\%Off-Campus = \frac{Off-Campus}{Total-Surveyed} * 100\%[/tex]
[tex]\%Off-Campus = \frac{182}{400} * 100\%[/tex]
[tex]\%Off-Campus = 0.455 * 100\%[/tex]
[tex]\%Off-Campus = 45.5\%[/tex]
Hence, option C answers the question
Answer:
oh 45%
Step-by-step explanation:
Choose all of the transformations that correctly maps figure A onto figure B
Answer: It seems you may have to post a picture/ link because I cannot see it.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
cause take this class
Help please I have a test next hour over this question, but have no clue how to solve for it.
Answer:
Multiply both sides of the equation by 5
5⋅(b+6/5)=5⋅10
Simplify both sides of the equation.
b+6=50
Move all terms not containing b to the right side of the equation.
b=44
Step-by-step explanation:
Answer:
The answer is 44
Step-by-step explanation:
Step1 = b+6= 10×5
b+6=50
Step2 b= 50-6
= 44
Hope this may helps you
Mark me the brainlest
Can you help me with this
Answer:
12 only.
Step-by-step explanation:
When the question is asking for f(0), it is asking for the value of y when x = 0.
We see that there is only 1 intersection at x = 0, and the y value would equal 12.
Therefore, our answer is 12 only.
Answer:
The answer is a.12 only its where the x coordinate stays 0 and the y coordinate decreases or increases
Step-by-step explanation: