Answer: ±4 y ±6
Step-by-step explanation:
Algunas definiciones:
Sea N un numero real.
El cuadrado de un numero es:
N^2.
Ahora, nos dicen que N es par, entonces podemos escribir:
N = 2*n
donde n es un numero entero.
Y el par consecutivo a N, va a ser M = N + 2.
M = 2*n + 2.
Entonces:
"La suma de los cuadrados de dos números reales pares consecutivos es 52"
(2n)^2 + (2n + 2)^2 = 52
Tenemos que resolver esto para n.
4n^2 + 4n^2 + 8n + 4 = 52
Entonces tenemos una ecuación cuadrática:
8*n^2 + 8n + 4 - 52 = 0
8*n^2 + 8n - 48 = 0
Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:
(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.
Ahora resolvamos esto para n, las dos soluciones son
[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]
Entonces las dos soluciones son:
n = (-1 - 5)/2 = -3
n = (-1 + 5)/2 = 2
Entonces, si tomamos la primer solucion, los numeros consecutivos son:
N = 2*-3 = -6
M = N + 2 = -4
Si tomamos la segunda solucion, n = 2.
N = 2*2 = 4.
M = N + 2 = 6.
Entonces podemos concluir que las soluciones son:
±4 y ±6
At a fabric store, fabrics are sold by the yard. { x + y = 5 ) (17x + 4y = 46) A dressmaker spent $46 on 5 yards of silk and cotton fabrics for a dress. Silk is $17 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. Find the solution to the system of equations. Write it as an ordered pair below. Use the graphing calculator on the next screen to help. Enter each equation on a separate line on the left-hand side to see their graphs. 46x + 5y = 46
Answer:
The dressmaker bought 3 yard of cotter and 2 yards of silk
Step-by-step explanation:
So what you do it just put those equations into a graphing calculator and the point where they intersect is your answer
It takes 140 minutes to finish a 40-question math test. How many minutes does it take, on average, to solve each math problem? * O 2 1/2 minutes 4 1/4 minutes O 3/4 minutes O 32 minutes
Answer:
Step-by-step explanation:
Average = Questions / Time
Average = 140 / 40 = 14/4 = 7/2 = 3 1/2 = 3.5
None of the answers are the same as mine. I'm pretty sure min is correct. Ask your instructor what you should answer.
graph y= -x -6 please
Answer:
Correct
Step-by-step explanation:
Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.
if 2^6=y^3 what is y?
Answer:
y=4
Step-by-step explanation:
simplify 2^6 --> 64
find the cube root of 64,
y=4
I NEED ANSWERS!!! ASAP
The answer for the first one is 4.47945205479, if you need to round that would be 4.5.
The answer for the second one is 20.4945454545, rounding will be 20.5.
The answer for the last one is 893.84, rounding will be 893.8.
If you need to round just remember 4 or less, will be rounded to 0, and 5 or more would be rounded to 10.
Raza works at a flea market selling sunglasses. He is paid $7.50/h plus a 75¢ commission for every pair of sunglasses he sells.
Write an equation to model Raza’s earnings. (1 mark)
Find Raza’s earnings if he sells 25 pairs of sunglasses during a 6-h shift. (2 marks)
How many pairs of sunglasses must he sell to earn $90 in 8 h? (2 marks)
Answer:
7.50h+0.75s 63.75 30
Step-by-step explanation:
7.50 x how many hours + 0.75 x how many sunglasses he sold
7.50 x 6 + 0.75 x 25= 63.75
7.50x8= 60 0.75x40=30 60+30=90
Why is it important to
understand the procedures for working with
different kinds of numbers
-
Answer:
Because it helps children and other people understand how the number system works. if you develop number sense you will have a range of different maths strategies like addition subtraction
I'll give brainliest to correct answer please please please please help me I need these answers really fast I've already filled out a few blanks on the ss (they're probably incorrect) but I need you to check my answers and fill out the rest, please
Fill in each blank with a reason that justifies the statement. Given: XY = 36.
Statements Reasons
XZ + ZY = XY a. _____
3(n - 2) + 3n = 36 b. _____
3n - 6 + 3n = 36 c. _____
6n - 6 = 36 d. _____
6n = 42 e. _____
n = 7 f. _____
Answer:
[tex]6n - 6 = 36 \: d. - - - addition \:property \: of \: equality \\
6n = 42 \: e. - - - division \: property \: of \: equality \: \\ [/tex]
If DKL =.PVX, which of the following statements must also be true? Check all that apply.
O ALKD XVP
O VPX= KDL
O VPX= DLK
OZDZP
DLPV
Answer:
First one, Second one, and fourth one
Step-by-step explanation:
8c + 20 = -180
c =
can some one help me please
Answer:
c = -25
Step-by-step explanation:
8c + 120 = -180
Subtract 20 from both sides.
8c = -200
Divide both sides by 8.
c = -25
Answer:
C = -25
Step-by-step explanation:
Start by getting C alone, subtract 20 from the left side of the equal sign and subtract 20 from the right. (what you do on one side you MUST do to the other) this gives you 8c= -200. Divide 8 from 8c on the right side and divide 8 from -200 on the left side. This will give you c= -25
6. One of Mollie's favorite toys is a set of hollow rectangular plastic blocks that can be filled with water to use as bath toys. The red block has dimensions 4 1/4 inches by 6 1/4 inches by 5 1/4 inches. Which represents the volume of the red block? Select all that apply. a. 30 cubic inches b. 2,231 and 1/4 cubic inches c. 139 and 29/64 cubic inches d. 557 cubic inches e. (17/4) (25/4) (21/4) cubic inches f. 8,925/64 cubic inches
Answer:
Option c. is correct
Step-by-step explanation:
Given: The red rectangular block has dimensions [tex]4\frac{1}{4}[/tex] inches by [tex]6\frac{1}{4}[/tex] inches by [tex]5\frac{1}{4}[/tex] inches.
To find: volume of the red block
Solution:
Volume of the rectangular box = length × breadth × height
First convert [tex]4\frac{1}{4}[/tex], [tex]6\frac{1}{4}[/tex] and [tex]5\frac{1}{4}[/tex] inches into improper fractions.
[tex]4\frac{1}{4}=\frac{17}{4} \\6\frac{1}{4}=\frac{25}{4} \\5\frac{1}{4} =\frac{21}{4}[/tex]
So,
Volume of the rectangular box [tex]=4\frac{1}{4} (6\frac{1}{4})(5\frac{1}{4} )=\frac{17}{4}(\frac{25}{4})(\frac{21}{4} )=\frac{8925}{64}=139\frac{29}{64}[/tex] cubic inches
use the vertex formula to find the vertex of the quadratic function f(x)=-x^2+6x-10
Answer:
15
Step-by-step explanation:
Answer:
I am sorry I can't help
Step-by-step explanation:
please forgive me
Which number is the additive inverse of -5?
O -1/5
O 0
O 1/5
O 5
Answer:
5
Step-by-step explanation:
It's the opposite of the sign. So you just add a negative if positive and a positive if negative.
Ex.
-20 = 20
14 = -14
Evaluate each expression.
2(5) + 3(4+ 3) =
Answer:
Step-by-step explanation:
10 + 3(7)
10 + 21
= 31
Answer:
31
Step-by-step explanation:
You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.
B- bracketsO- ofD- DivisionM- multiplicationA- additionS- subtraction2(5) + 3(4+3)
= 10 + 3(7)
= 10 + 21
=31
Need all these questions answer plz
Step-by-step explanation:
1 result(s) found
x
2
−x−3
Step by Step Solution:
More Icon
STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-2 1 -2.00 6.00
-3 1 -3.00 9.00
-4 1 -4.00 0.00 x + 4
-6 1 -6.00 -78.00
-12 1 -12.00 -1224.00
1 1 1.00 -15.00
2 1 2.00 -6.00
3 1 3.00 21.00
4 1 4.00 72.00
6 1 6.00 270.00
12 1 12.00 2064.00
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 + 3x2 - 7x - 12
can be divided with x + 4
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 + 3x2 - 7x - 12
("Dividend")
By : x + 4 ("Divisor")
dividend x3 + 3x2 - 7x - 12
- divisor * x2 x3 + 4x2
remainder - x2 - 7x - 12
- divisor * -x1 - x2 - 4x
remainder - 3x - 12
- divisor * -3x0 - 3x - 12
remainder 0
Quotient : x2-x-3 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x-3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x+4) which appears on both sides of the fraction line.
Final result :
x2 - x - 3
Terms and topics
More Icon
Polynomial root calculator
Polynomial long division
Related links
More Icon
Root Finder -- Polynomials Calculator
How to factor five term polynomial - Yahoo Answers
Long Polynomial Division
Polynomial long division - Wikipedia
Polynomial Long Division
Polynomials - Long Division
Please do help!! ;^;
Answer:
10/7 is an improper fraction because the numerator is greater than the denominator.
Step-by-step explanation:
so try 10/7 as a whole number
2x-3y=6 How do you get y by itself
Answer:
[tex]y=\frac{2x-6}{3}[/tex]
Step-by-step explanation:
3y=2x-6
[tex]y=\frac{2x-6}{3}[/tex]
First, you have to move the x, along with the coefficient(2).
To move the 2x, you have to subtract it from both sides.
So you have -3y= 6-2x
Now you have to divide by -3.
DON’T FORGET THE NEGATIVE.
So you have y = -2 +2/3
In slope intercept form
If this helped please mark branliest
The value of a machine worth 45,000 rupees is decreasing at the rate of 20% per annum. Find the total reduction after 2 years?
Answer:
Total reduction after 2 years = [tex]16,200[/tex] rupees
Step-by-step explanation:
Current price of a machine [tex](P_0)[/tex] = 45,000 rupees
Rate of depreciation (r) = 20%
Time (t) = 2 years
Price after 2 years = [tex]P_0(1-\frac{r}{100} )^t[/tex]
[tex]=45000(1-\frac{20}{100})^2 \\=45000(1-\frac{1}{5})^2\\ =45000(\frac{4}{5})^2\\ =45000(\frac{16}{25})[/tex]
[tex]=28800\,\,[/tex] rupees
Total reduction after 2 years = [tex]P-P_0=45,000-28,800=16,200[/tex] rupees
1890s was rounded to the nearest 10 what is the upper bound
Answer:
When rounding to the nearest ten, like we did with 1890 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Step-by-step explanation:
SOLVE PLS I WILL GIVE BRAINIEST AND 5 STARS
Solve for b:
3.5b + (-8) = (-6.25b) - 6.5
Solve for x:
-5x + 3 > (-7x) - 12
Answer:
1)b=0.153846
2)x > -15/2
Step-by-step explanation:
I used this site called math-
way
Can someone please help me on this math chart and graph above I’ve already posted 3 pictures of it and no one is answering :( I’ll mark as brainliest if you answer. Picture is above thank you.
the function is x^2-9, so all you have to do is replace x with a number. for example, 2.
so 2^2-9 is -5. the plot would be 2, -5. basically, plug in a number to be the x coord, and whatever number you get will be your y coord.
after you graph a few plots (doing the same thing above), draw a line through all of them.
if the line goes up towards the right top corner, it's increasing. if it goes down the right bottom corner, it's decreasing.
Problem 11. *
11. Grace has $6 to buy a gallon of milk and some apples. The gallon of milk costs $3.59 and the apples
cost $0.60 each. Which inequality could she use to find out how many apples she can buy?
A) 6 2 0.6x + 3.59
B) 6 S 0.6x + 3.59
C) 6 S 0.6x - 3.59
D) 6 2 0.6x - 3.59
Answer:
Step-by-step explanation:
a
PLS help in this questions. Thanks !
Answer:
D
Step-by-step explanation:
You are given the two sides and the abgle inbetween.
3(q − 16) + –8 = –14
Answer:
q = 14
Step-by-step explanation:
3 (q - 16) + -8 = -14
3q - 48 + -8 = -14
3q - 56 = -14
+56 +56
3q = 42
/3. /3
q = 14
hope this helps :)
What is the slope between (2,-5) and (5, -1)?
Show work pleaseeee
At an auction a company sells 150 television sets for an
average of $65 each. The production cost was $10 000.
How much loss did the company make?
Answer:
They lost $250 total
Step-by-step explanation:
[tex]150 \times 65 = 9750[/tex]
[tex]10000 - 9750 = 250[/tex]
[tex]250[/tex]
The number of pupils in a school increases by 15% every year. If there are 1058 pupils this year, what was the enrollment last year?
Hi there
I think I maybe able to help.
Here is my answer:
996
Hope this helps
Write 9(39) using the Distributive Property. Then simplify.
Jonas has salary of $2,000 each month. He pays income tax at a rate of 15%. How much income tax Jonas pay each month in dollars and cents?
Rachel needs to know if the triangle shown is a right triangle. Which equation could he use to help? 36 25 49 (triangle)
A. 136 + 25 = 49
B. 25 + 36 = 49
C. 252 + 362 = 492
D. 362-252 = 492