Answer:D
Step-by-step explanatiation:25th Percentile: 11
50th Percentile: 16
75th Percentile: 22
Interquartile Range: 11
Find the vertex of the parabola.
f (x) = x squared minus 6 x + 13
a.
( 4, 0)
c.
( 3, 4)
b.
(0, 3)
d.
( 4, 3)
Answer:
The vertex is (3,4)
Step-by-step explanation:
f (x) = x^2 - 6 x + 13
Completing the square
-6/2 = -3 and squaring it = 9
= x^2 -6x +9 +4
= ( x-3) ^2 +4
The equation is now in vertex form
a( x-h) ^2 +k
where the vertex is ( h,k)
The vertex is (3,4)
Answer:
C on edge
Step-by-step explanation:
1) Jack and Jill have a Jill have a combined age of 25. Jack is 3 years older than Jill. How old are they?
2) A rectangle has an area of x^2+7x+12. Find the length and the width of the rectangle.
Answer:
1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)
Step-by-step explanation:
1.)
Let j = Jill's age.
[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]
Therefore, Jill is 11 and Jack is 14.
2.)
[tex]x^2+7x+12\\(x+4)(x+3)[/tex]
Please solve, -8-2(7r+1)=-94
Answer:
r = 6
Step-by-step explanation:
Hello!
-8 - 2(7r + 1) = -94
Add 8 to both sides
-2(7r + 1) = -86
Divide both sides by -2
7r + 1 = 43
Subtract 1 from both sides
7r = 42
Divide both sides by 7
r = 6
Hope this Helps
PLEASE HELP ASAP THANKS!!!!!!!!
Answer:
x-√x -12
Step-by-step explanation:
(√x +3)(√x -4)=
x-√x -12
Answer:
the answer is C
Step-by-step explanation:
I used PEMDAS and school knowledge that I learned 2 years ago that I can't explain much, cause I i am bad at math, most of the time
How many solutions are there to the following system of equations?
-3y = -2x - 6
3 = x
Answer:
y=4
Step-by-step explanation:
it has only one solution.
How many gallons equal 26 liters
Answer:
6.8 gallions i believe. im not quite sure
Please is urgent!!!
Answer:
70.6x 10-⁵ is answer of first
the expression 3xy+12y-5x+7w has how many terms in polynomial ??
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There are 4 individual terms in the polynomial:
3xy
12y
-5x
7w
simplify;a/2(a+b)+b/2(a-b)
Answer:
[tex]\huge\boxed{\sf \frac{a^2+b^2}{2(a^2-b^2)}}[/tex]
Step-by-step explanation:
=> [tex]\sf \frac{a}{2(a+b)} + \frac{b}{2(a-b)}[/tex]
LCM = 2(a+b)(a-b)
=> [tex]\sf \frac{a(a-b)+b(a+b)}{2(a+b)(a-b)}[/tex]
Simplifying further
=> [tex]\sf \frac{a^2-ab+ab+b^2}{2(a^2-b^2)}[/tex]
=> [tex]\sf \frac{a^2+b^2}{2(a^2-b^2)}[/tex]
[tex]\dfrac{a}{2(a+b)}+\dfrac{b}{2(a-b)}=\\\\\dfrac{a(a-b)}{2(a+b)(a-b)}+\dfrac{b(a+b)}{2(a+b)(a-b)}=\\\\\dfrac{a^2-ab}{2(a^2-b^2)}+\dfrac{ab+b^2}{2(a^2-b^2)}=\\\\\dfrac{a^2+b^2}{2(a^2-b^2)}[/tex]
Which of the following best describes the slope of the line below?
A. Zero
B. Negative
C. Positive
< PREVIOUS
Answer:
A. Zero.
Step-by-step explanation:
Technically, the correct answer is "undefined", as there will be infinite change in the slope amount. However, of all the given choices, Zero should be the best answer. However, if it is wrong, do ask your teacher, and state that undefined should be the answer choice, and that credit should be rewarded for such.
-5+6
What’s the answer
-5+6=1 because if it's not a normal equation it has a negative
Answer:
1
Step-by-step explanation:
When adding a negative and a positive number, subtract the biggest number from the smallest (ignore the signs), so :
[tex]6-5=1[/tex]
After you have your answer, keep the symbol of the bigger number (pay attention to the signs now). Since positive 6 is greater than negative 5, keep the positive. Add this symbol to the answer, making the answer positive.
[tex]-5+6=1[/tex]
Pls answer these McQ to be the brainliest
Step-by-step explanation:
1. c
2. a
3. c
4. c
5. d
6. b
7. a
8. b
9. c
Explain how to solve a system of three equations using the elimination method.
Step-by-step explanation:
You can solve a system of three equations by multiplying each equation by a number that allows you to add or suvtract the same equation together by eliminating the x or y variable
Answer:
To use elimination to solve a system of three equations with three variables, follow this procedure:
Write all the equations in standard form cleared of decimals or fractions.
Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.
Select a different set of two equations and eliminate the same variable as in Step 2.
Solve the two equations from steps 2 and 3 for the two variables they contain.
Substitute the answers from Step 4 into any equation involving the remaining variable.
Check the solution with all three original equations.
Step-by-step explanation:
Help me solve for t please
Answer:
[tex]t = \frac{ v_{1} - v_{0}}{a} \\[/tex]
Step-by-step explanation:
[tex]a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ [/tex]
The pH of 0.0001 M solution of Ca(OH)2 is
Step-by-step explanation:
Since Ca(OH)2 is Basic, we need to find pOH:
pOH = - log [OH-]
pOH = - log(0.0001)
pOH = - ( - 4)
pOH = 4
Since, pH + pOH = 14
Therefore,
pH of 0.0001M sol. of Ca(OH)2 = 10
Find the missing the side of the triangle A. 130−−−√ m B. 179−−−√ m C. 42–√ m D. 211−−−√ m
Answer:
The answer is option AStep-by-step explanation:
Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side
Using the Pythagoras theorem
That's
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
From the question
x is the hypotenuse or the longest side of the triangle
Substituting the values into the above formula we have
[tex] {x}^{2} = {9}^{2} + {7}^{2} [/tex]
[tex] {x}^{2} = 81 + 49[/tex]
[tex] {x}^{2} = 130[/tex]
Find the square root of both sides
We have the final answer as
x = √130 mHope this helps you
pLEASE SOLVE THE QUESTIONS (WILL MARK BRANLIEST)
Answer:
a) 4⁻³ = 1/64 = 0.015625
b)13⁻² = 1/169 = 0.0059171598
c)(-3)⁻² = 1/-3² = 0.1111111111
Step-by-step explanation:
To solve the question above, when we have an integer ( positive or negative) that is raised to a negative power, this means the reciprocal of that integer raised to the positive power
Example:
a⁻ⁿ = 1/aⁿ
a) 4⁻³ = 1/4³
= 1/(4 × 4 × 4)
= 1/64
= 0.015625
b) 13⁻² = 1/13²
= 1/(13 × 13)
= 1/169
= 0.0059171598
c)(-3)⁻² = 1/-3²
= 1/(-3 × -3)
= 1/9
= 0.1111111111
what percent of 65 gives you 33
Answer:
50.8%
Step-by-step explanation:
Convert fraction (ratio) 33 / 65 Answer: 50.769230769231%
If x/y + y/x =2, Then 4x-4y-4 = ? ( Please show with full process and don't spam )
[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]
[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]
[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]
[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]
[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]
[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]
[tex]\\ \sf\longmapsto x-y=0[/tex]
Now
[tex]\\ \sf\longmapsto 4x-4y-4[/tex]
take 4common[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]
Put the value[tex]\\ \sf\longmapsto 4(0-4)[/tex]
[tex]\\ \sf\longmapsto 4(-4)[/tex]
[tex]\\ \sf\longmapsto -16[/tex]
Which polynomial has factors of 4x – 7 and x + 4?
3x2 + x – 3
4x2 + 9x – 28
3x2 – 7x – 3
4x2 – 23x – 28
Answer:
B. 4x2 + 9x – 28
Step-by-step explanation:
Multiply out the factors and see what polynomial you end up with.
(4x – 7)(x + 4) = 4x^2 + 16x - 7x - 28 = 4x^2 + 9x - 28
The polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
To determine which polynomial has factors of 4x – 7 and x + 4, we can use the fact that if a polynomial has a factors.
So, if a polynomial has factors of 4x – 7 and x + 4, then it can be written as:
(4x – 7)(x + 4)
Multiplying these factors together using the distributive property, we get:
4x²+ 16x - 7x - 28
Simplifying, we get:
4x² + 9x - 28
Hence, the polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.
To learn more on Polynomials click:
https://brainly.com/question/11536910
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11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600
Answer:
Average = 2000
Step-by-step explanation:
Given numbers are:
1,000 2,300 2,600
To find:
First round off the numbers to nearest 1000 and then find Average.
Solution:
1000 is already in thousands so no need to round off.
To round off a number to nearest thousand, we need check the digit on hundred's place.
If the hundred's digit is greater than 5, we increase the thousand's digit by 1 and make the hundred's digit as 0.If the hundred's digit is lesser than 5, the thousand's digit remains the same and we make the hundred's digit as 0.So, 2300 will be rounded off as 2000.
and 2600 will be rounded off as 3000.
Now, the numbers whose average is to be calculated are 1000, 2000, 3000.
Formula for average is given as:
[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]
applying the formula:
[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]
So, the average after rounding off to nearest 1000 is 2000.
Write a verbal expression for 5x cubed + 2
Answer:
2 added to cube of 5 times x
Step-by-step explanation:
Answer:
2 plus cube 5 times.
cube = (³).
times = (multiplying).
Which of the following are irrational numbers?
5
8.555...
N
1
Submit
Work it out
Not feeling ready yet? This can help:
Answer:
8.555.... is a irrationtional number .
The simple interest on a sum of money in 2 years is Rs 36 less than the compound interest compounded annually. If the rate of interest is 12 % p.a., find the sum.
======================================================
Explanation:
Compute the simple interest on a deposit of x
The per annum (p.a.) interest rate is r = 0.12 from the 12% value mentioned.
We do so over t = 2 years
i = p*r*t
i = x*0.12*2
i = 0.24x
Let A = 0.24x
Do the same for the compound interest. We'll have n = 1 to reflect annual compounding.
i = p*(1+r/n)^(n*t) - p
i = x*(1+0.12/1)^(1*2) - x
i = 1.2544x - x
i = 0.2544x
Let B = 0.2544x
We're told that "The simple interest on a sum of money in 2 years is Rs 36 less than the compound interest compounded annually"
This means the interest earned in the simple interest (value A) is Rs 36 less than the amount earned with quantity B
So,
A = B-36
0.24x = 0.2544x - 36
0.24x - 0.2544x = -36
-0.0144x = -36
x = -36/(-0.0144)
x = 2500
The amount invested or deposited is Rs 2500
Integers contain the whole numbers. True False
Answer:
Integers include whole numbers. However, whole numbers are the list of positive integers, INCLUDING 0. A whole number cannot be negative.
Step-by-step explanation:
Answer and Step-by-step explanation:
True
Whole Numbers { 0, 1, 2, 3, 4, . . . }
Counting Numbers { 1, 2, 3, 4, . . . }
Integers { . . . −4, −3, −2, −1, 0, 1, 2, 3, 4, . . . }
when its a positive integers, say "positive integers"
(note: zero isn't positive or negative):
Integers are a whole numbers, but they also include negative numbers.
But still no fractions allowed!
Integers = { . . . , −4, −3, −2, −1, 0, 1, 2, 3, 4, . . . }
Negative Integers = { . . . , −4, −3, −2, −1 }
Positive Integers = { 1, 2, 3, 4, . . . }
Non-Negative Integers = { 0, 1, 2, 3, 4, . . . } (it includes zero you see)
hope it helps.
I need a lot of help
To add fractions with different denominators you must find the highest common factor (the highest number they both go into).
For 1 - The highest common factor is 8, 2x4 = 8, 4x2 = 8
now, whatever you do to the bottom, you must do to the top.
So:
3 x 2 = 6 and 5 x 4 = 20
Therefore, your answer would be 6/8 + 20/8
You do that for the rest of them as well, do you get it?
Answer:
3/4 + 5/2 = 3/4 + 10/4 = (3+10)/4 = 13/43. 4/15 + 4/5 = 4/15 + 12/15 = (4+12)/15 = 16/15
5. 2/3 + 7/10 = 20/30 + 21/30 = (20+21)/30 = 41/30
The path from the subway station to the art museum is three blocks to the north then four blocks to the west.
What is the straight-line distance in blocks from the subway station to the art museum?
Answer:
7 block s
Step-by-step explanation:
3 from North plus
4 from West
4+3=7
Which of the following shows the correct solution steps and solution to 7x-4= -18?
Answer:
x = -2
Step-by-step explanation:
To solve for x always get x on one side
First add 4 on each side, 4 + 7x - 4 = -18 + 4
Next subtract 18 from 4, making it -14 7x = -14
Now divide 7 on each side, x = -2
Plz help ASAP PLZZZ!!!
Answer:
A. EF
Step-by-step explanation:
Answer:
EF
Step-by-step explanation:
The reason is because EF and BC are in the same plane
Please help asap. I will give a thanks, rate your answer and mark the brainliest one too!
The formula v^2 - u^2 = 2as is used to model a moving object, where: u= starting speed (m/s) v = final speed (m/s) a = acceleration (m/s²) s = distance travelled (m) A car stops at some traffic lights. It then accelerates at 2.3 m/s² until it reaches a speed of 13.6 m/s. Find the distance, s, that it has travelled since stopping at the lights. Give your answer correct to 1 decimal place.
Answer:
s = 40.2 m
Step-by-step explanation:
It is given that,
Initial speed of the car, u = 0 m/s
Final speed of the car, v = 13.6 m/s
Acceleration of the car, a = 2.3 m/s²
We need to find the distance, s, that it has travelled since stopping at the lights. For this, we will use third equation of motion as :
[tex]v^2-u^2=2as[/tex]
s is distance
[tex]s=\dfrac{v^2-u^2}{2a}\\\\s=\dfrac{(13.6)^2-0}{2\times 2.3}\\\\s=40.2\ m[/tex]
So, the distance covered by the car is 40.2 meters.