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
Kayla began a science experiment with 18 grams of an unknown solid. During the experiment, the change in the mass of the solid was – 7 grams. What was the mass of the solid at the end of the experiment? To solve the problem, Edna subtracted 18–( – 7) and came up with an answer of 25 grams. Is Edna correct? Why or why not?
Answer:
No. Enda should have added 18+ (-7) because she needed to add the initial mass and the change in mass.
Step-by-step explanation:
-3/4x≤12
what are the steps to solve this??
Answer:
x≥-16
Step-by-step explanation:
-3/4x≤12
Multiply each side by -4/3, remembering to flip the inequality
-4/3 *-3/4x≥ -4/3 *12
x≥-16
Answer: x ≥ -16
Step-by-step explanation:
Divide both sides by -3/4 to get x alone.
When you divide or multiply both sides by a NEGATIVE, the inequality FLIPS.
-3/4x ≤ 12
Divide both sides by -3/4:
x ≥ -16
Hope this helps!
which figure shows that M is a midpoint ? select all apply
Answer:
I don't see the figures.
Step-by-step explanation:
)) Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table shown. Should Stefan rent a
phone accessory store? Explain.
Estimated Income and Expenses
Type Amount Frequency
Sales
$950 Each week
Services
$2,875 Each month
Rent
-54,500 Each month
Travel
-$7.50 Each day
Merchandise -$1,650 Each month
Answer:
Stefan should rent a phone accessory store
Step-by-step explanation:
The given information are;
The total of the estimated income and expenses are given as follows;
Sales
Type [tex]{}[/tex] Amount [tex]{}[/tex] Frequency
Sales [tex]{}[/tex] $ 950 [tex]{}[/tex] Each week
Services [tex]{}[/tex] $2,875 [tex]{}[/tex] Each month
Rent [tex]{}[/tex] -$4,500 [tex]{}[/tex] Each month
Travel [tex]{}[/tex] -$7.50 [tex]{}[/tex] Each day
Merchandise [tex]{}[/tex] -$1,650 [tex]{}[/tex] Each month
Therefore;
Total sale = 4×950 = $3,800
Total services = $2,875
Total income = $3,800 + $2,875 = $6,675
Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375
Total profit = Total income - Total expenses = $6,675 - $6,375 = $300
Therefore, the net profit = $300.
Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.
The fees for a biochemistry major are $1,728. To major in biochemistry, Toby requires 144 credit hours of coursework. How can he calculate the cost of the fees per credit hour? What is the cost of the fees per credit hour?
9514 1404 393
Answer:
divide fees by hours$12 per credit hourStep-by-step explanation:
To find fees per hour, divide fees by hours.
$1728/(144 h) = $12/h
Toby's cost is $12 per credit hour.
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.
The question is incomplete:
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.
Answer:
The average amount spent in dogs is $203, in cats is $81 and in birds is $9.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=293 (1)
x-y-z=113 (2)
y=9z (3)
You can replace (3) in (1) and (2):
x+9z+z=293
x+10z=293 (4)
x-9z-z=113
x-10z=113 (5)
Now, you have the following equations:
x+10z=293 (4)
x-10z=113 (5)
Then, you can isolate x in (4):
x=293-10z (6)
Next, you can replace (6) in (5):
293-10z-10z=113
293-20z=113
293-113=20z
180=20z
z=180/20
z=9
Now, you can replace the value of z in (6) to find x:
x=293-10z
x=293-10(9)
x=293-90
x=203
Finally, you can replace the value z in (3) to find y:
y=9*(9)
y=81
According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.
Sergio bought a new dryer for $337. How much did the dryer cost, rounded to the nearest hundred? NEED HELP PLEASE WILL GIVE BRAINEST
Answer:
300
Step-by-step explanation:
i just know
Answer:
337 rounded to the nearest hundred is 300.
Look at the tens place, it's less than 5 meaning everything after and itself is turned to a 0.
Step-by-step explanation:
Hope this explains it! <3
what is an equation equivaent to x=-2
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.
Answer:
f(-7) = 34
Step-by-step explanation:
If f(x) = -5x - 1, then . . .
f(x) = -5x - 1
f(-7) = -5(-7) - 1
= 35 - 1
= 34
. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.
Which of these expressions has the same product as ()?
Select all that apply.
A.
()
B.
()
C.
()
D.
()
E.
()
Answer:
none
Step-by-step explanation:
I can't find any question there
Which is 65% of 35?
CLEAR SUBMIT
17.5
22.75
30
53.85
[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
[tex] = 65\% \times 35[/tex]
[tex] = \frac{65}{100} \times 35[/tex]
[tex] = \frac{65 \times 35}{100} [/tex]
[tex] = \frac{2275}{100} [/tex]
[tex] = 22.75[/tex]
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Avas heart rate is 65 beats per minute. If avas heart beat 748,800 times, how many full days would have elapsed
Answer:
520 full days.
Step-by-step explanation:
Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.
I hope this helps:)
For your birthday, you had a party at The Main Event. Your parents paid for you and 9 friends to play one game of bowling and one game of laser tag. It costs $8 for each combo ticket (covers both bowling and laser tag). Your parents also paid for a meal ticket ($6) for all of you to have pizza and a drink, but only you and 6 of your friends wanted a meal ticket.
6. Write an expression and solve it to find how much money your parents spent for the games and food/drink at The Main Event. Show all work
Answer:
$140
Step-by-step explanation:
8x+6x
Se reparten 7/9 de pizza entre 4 niños. ¿Que fracción de la pizza le toca a cada uno?
-9+n/4 = -11 The slash represents a fraction so (n over four.) Please help thank you!! :)
Answer:
n=-8
Step-by-step explanation:
-9+n/4=-11
n/4=-2
n=-8
Step-by-step explanation:
n/4= -11+9
n/4= -2
n= -2× 4
n= -8
Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?
Answer:
19/24 pounds
Step-by-step explanation:
To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).
[tex] \frac{3}{8} + \frac{5}{12} [/tex]
[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]
[tex] \frac{9}{24} + \frac{10}{24} [/tex]
[tex] \frac{19}{24} [/tex]
John won 72 pieces of gum
playing hoops at the
county fair. At school he
gave four to every student
in his math class. He only
has 4 remaining. How
many students are in his
class?
Answer:
Step-by-step explanation:
72 pcs gum - 4 remaining = 68 pcs of gum, 68 divided by 4
Divide 68 (amount of gumballs passed out to every student in Johns math class) by 4 (amount John gave to each student in his math class) = 17 Students in John math class Or 18 students when you include John.
which of the following are the coordinates of point A’, the image of point A, after a rotation of 90° about the origin?
Answer: I think it is (-4,0)
Step-by-step explanation:
Because the image shows it directly on the y axis so 90 degrees from that puts it on the x axis and it would have to be in the negative for the way it was reflected. So, the only reasonable answer is (-4,0).
Answer:
B) A rotation of 270° about the origin.
B) (-4, 0)
D) (-2, -5)
C) X' (-2, -6) and Y' (3, -1)
C) 280°
C) 8
B) A rotation of 180° about the origin.
B) Where Q is the center, the image of Q is itself, and for any other point V, QV' = QV and m∠VQV' = x°.
D) X' (6, -2) and Y' (1, 3)
C) (0, -30)
Brainliest plsssssss
Suppose that in 8 minutes, 32 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
4
Step-by-step explanation:
Answer:
8/32 =4 so 4 per min
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?
Answer:
p = (200 + 7.5t) psi
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.
The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t
so that;
p = 200 + 7.5t
= (200 + 7.5t) psi
If the temperature increases by [tex]1^{o}[/tex] F, then;
p = 200 + 7.5(1)
= 200 + 7.5
= 207.5 psi
If the temperature increases by [tex]10^{o}[/tex] F, then;
p = 200 + 7.5(10)
= 200 + 75
= 275 psi
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?
TRUE OR FALSE
Angle BAH and angle DAG form linear pair.
Answer:
false
Step-by-step explanation:
Dai is comparing trading cards with his friend Maura
Answer:
a- n= 2x+ 4
b- n= 2x + 4 - 8
Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:
After 15 years?
(round to the hundredths place
Answer:
608.33
Step-by-step explanation:
can someone help with this please . questions 3 and 4
Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.
Answer:
Simon started High school in the year 2012.
One usually starts highs school when is 14 years old.
So we can assume that Simon was born 14 years before 2012:
2012 - 14 = 1998
Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.
Then Simon's parents should have met before 1998.
Then the inequality that we have:
x < 1998.
And Simon was born when his father was 25 years old.
Then in 1998, Simon's father was 25 years old.
Meaning that he was born around:
1998 - 25 = 1973.
This means that Simon's parents met in-between the years 1973 and 1998.
1973 < x < 1998
4.49 × 10^–3 in standard form?
Answer:0.0049
Step-by-step explanation: You move the decimal 3 places to the left because its negative which gives you 0.0049
See attachment for math work and answer.
Find the angle BCD.PLZ!!!!!!!
Answer:
19
Step-by-step explanation:
Firstly find BCE then divide by 2.
How do you do substitution on the two equations explain pls
Answer:
You simply separate like terms
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Which equations could you use to find the price of one tire patch? Select all that apply.
Answer:The answers are
4x + 1.9 = 22.2
22.2 - 4x = 1.9
Answer:
C. 4x + 1.9 = 22.2 and E. 22.2 – 4x = 1.9
Step-by-step explanation: