Answers
Part (a)
Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer
For example, if x = 7, then x+2 = 9 is right after.
Answer: x+2========================================================
Part (b)
The consecutive odd integers we're dealing with are x and x+2.
Their squares are x^2 and (x+2)^2, and these squares add to 394.
Answer: x^2 + (x+2)^2 = 394========================================================
Part (c)
We'll solve the equation we just set up.
x^2 + (x+2)^2 = 394
x^2 + x^2 + 4x + 4 = 394
2x^2+4x+4-394 = 0
2x^2+4x-390 = 0
2(x^2 + 2x - 195) = 0
x^2 + 2x - 195 = 0
You could factor this, but the quadratic formula avoids trial and error.
Use a = 1, b = 2, c = -195 in the quadratic formula.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\[/tex]
If x = 13, then x+2 = 13+2 = 15
Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394
Or we could have x = -15 which leads to x+2 = -15+2 = -13
So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394
We get the same thing either way.
Answer: Either 13, 15 or -15, -13Related Questions
heeeeeelllllppppppp please
Answers
Answer: D. <Q ≅ <T
Step-by-step explanation:
This satisfies the ASA Congruency Theorem.
The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:
a, 2a, 3a
Answers
Answer:
tn = n·a
t10 = 10a
Step-by-step explanation:
We observe that the coefficient of 'a' is the term number:
tn = n·a
t10 = 10a
Step-by-step explanation:
Chef Ira has 613 pies he wants to sell at his restaurant. Each slice is 16 pie and costs $1.50. Chef Ira sells all the remaining slices of pie.
How much money will he earn?
A. $9.00
B. $9.50
C. $38.00
D. $57.00
Answers
Pls help me it’s due at 12:00
Answers
Step-by-step explanation:
# easy learning
good luck and god Blees
Solve for y. -6y-31= 5 and thank you
Answers
[tex]-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6[/tex]
Step-by-step explanation:
...........y=-6.........
Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5
meters and an area of 6 square meters. Which equation and solution correctly represent
2, the length, in meters, of the rectangular garden bed?
Help
Answers
Answer:
4
Step-by-step explanation:
6 divided by x equals the width 1.5
or
x times 1.5 equals the area 6
then divide the 6 by 1.5 equals 4
I Hope I Helped YOU :)
for everyone who answers this happy points
Answers
Answer:
im just answering because im doing a challenge.
Step-by-step explanation:
how to write and express without exponents in standard form 5.1 X 104?
Answers
Answer:
156
1.56×10²
after you get your answer move the decimal however many spaces to where you only have one number before the decimal then you multiply it by 10 in your square root is however many times do you move the decimal
On a map, 1 cm represent 250 km. How many kilometres does 7 cm represent?
Answers
Answer:
1750
Step-by-step explanation:
Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answers
Answer:
i don't understand 5, 8, 9, or 10.. I'm sorry...
6. A. With each one (1,2,3) the pattern increases by 3 dots each time
B. the fourth pattern would be 4 rows of 3 (look at picture below)
7. The pattern adds 2 squares, one on the left and one on the right side
Step-by-step explanation:
so... a conjecture is basically like an educated guess.. so ye :)
Can someone please help me with this and fast
Answers
Answer:
B) √a
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
√a = a^(1/2)
(a^b)/(a^c) = a^(b-c)
__
A) (a^(1/8))(a^(1/8)) = a^(1/8+1/8) = a^(1/4)
B) √a = a^(1/2) . . . . . . . . . . . . . not equal to a^(1/4)
C) a^(3/4)/a^(1/2) = a^(3/4-1/2) = a^(1/4)
D) (a^(1/8))^2 = a^(1/8+1/8) = a^(1/4) . . . . . same as (A)
A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the
larger number.
Which two equations represent the situation?
A. y = 1/3x and y = x - 4
B. y = 1/3x and y = x + 4
C. y = 3x and y = x + 4
D. y = 3x and y = x - 4
Answers
Explanation: just trust me
how do I do this, what is the answer?
Answers
Answer:
g=2-X/-3
Step-by-step explanation:
X=3g+2
To make g the subject, make it stand alone
While transferring 3g to the other side of the equation, the sign changes i.e + changes to -
The equation will then be written as: -3g = -X + 2 or -3g = 2 - x
Divide both sides by -3
g= (2-x)/-3
Helpppp me please omg
Answers
the first graph looks right
Which inequality represents this sentence?
A number is no more than 57. I NEED A ANSWER ASAP WHOEVER GIVES CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
x < 57
Step-by-step explanation:
50 squared is rational
True
False
Answers
Answer:
false
Step-by-step explanation:
Answer:
A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.
Step-by-step explanation:
En la estrella la
suma de los cuatro
números de la línea
es la misma. ¿Cuáles
son los valores de: b
y c?
Answers
Sabiendo que en la estrella la suma de los cuatro números de la línea es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
En primer lugar, sabes que en la estrella la suma de los cuatro números de la línea es la misma.
Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:
12 +1 +2 +15= 30
Entonces la suma en todas las líneas debe dar como resultado 30.
Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.
Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:
12 + (8-3) + 4 + b= 30
Resolviendo:
12 + 5 + 4+ b= 30
21 + b=30
b= 30 - 21
b= 9
Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:
15 + 3 +4 + c= 30
22 + c= 30
c=30 - 22
c= 8
Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:
Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30
Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30
De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.
En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
Aprende más con este problema similar
https://brainly.com/question/25206811?referrer=searchResults60
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
18
boys chose biking and 29
29
boys chose fishing.
The remaining boys did not complete the survey.
Which expression gives the percent of survey participants who chose fishing?
Answers
Answer:
48.3%
Step-by-step explanation:
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 60 = 1.6666666666667
Once we have that, we can multiple both the numerator and denominator by this multiple:
29 x 1.6666666666667
60 x 1.6666666666667
=
48.333333333333
100
Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.
do you use multiplication at all when solving for x
Answers
Help help help help math math
Answers
Answer:
r=8
Step-by-step explanation:
The radius is the diameter divided by 2.
So, 16/2 would equal 8.
Pi=3 in this case
3x16^2=768cm^2 is the area
Addy spent $ 15 on supplies to make giant sugar cookies and plans to sell them at her neigthorhood bake sale for $2 each . She wants her profit after paying back expenses to be a least $ a. What inequality vould represent this situation? bRepresent the solution on a number 'ine. How many cookies does she need to sell to make at least 20?
Answers
Answer:
(1.25c) + (1p) ≥ 25
c is the amount of chocolate chip cookies
p is the amount of peanut butter cookies
Step-by-step explanation:
What is the domain? (Type your answer with commas and no spaces)
Answers
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
Step-by-step explanation:
NEED HELP ASAP…………..
Answers
Answer:
It is the second answer.
Step-by-step explanation:
Answer plz school is stressful
Answers
Answer:
1 month.
Step-by-step explanation:
When reading a graph, the most important thing is knowing what the axes are. Here, the horizontal x-axis is months, and the vertical y-axis is the number of books read. Those are our 2 variables.
Now, a line on a graph shows the relationship between those 2 variables. At any given point on the line, it'll have an output value of y (books read) for whatever input value of x.
The question gives you the value on the y-axis (books read), so all you need to do is find the value of x that corresponds to that point on the line. I marked that point on the line in the attached image. Look directly below that point on the line, and you can see that 1 month corresponds to 4 books read.
I need help solving for X
1.5x - 4 > 2
Answers
Answer:
x<4
Step-by-step explanation:
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Answers
Answer:
what grade are you??..........
I need answers to both of the questions Please help
Answers
Answer:
131 minutes, an = 15 + (n - 1)(4)
Step-by-step explanation:
each time she is increasing by 4 minutes
we can write this equation like this since we have the difference and the first part:
an = 15 + (n - 1)(4)
note
"an" (or ace of n)'s n is in subscript and is written just like a superscript but on the bottom
we can plug in this equation to find ace of 30 (a30)
15 + (30 - 1)(4)
15 + 29*4
116 + 15
a30 = 131
Answer:
1.) 192 minutes
2.) If it's the 9th day : 69 minutes
If it's the 10th day : 64 minutes
Step-by-step explanation:
1.) 5th Day - 32 minutes
32*6= 192 minutes on the 30th day.
2.) If it's the 9th day -
3rd Day - 23 minutes
23*3= 69 minutes
2.)If it's the 10th day -
5th day - 32 minutes
32*2= 64 minutes
It would be too much to write so here is a photo instead :D
Answers
Answer:
C) Justine left her grandmother's house and walked 3 blocks directly south. Then she walked 3 blocks directly north. At this point, how many blocks was Justine from her grandmother's house?
Explanation:
C is the only answer choice where you are starting at 0. Justine goes down 3 blocks and comes back up 3 blocks getting her back to 0.
Answer choice A goes from -10 to 10.
Answer choice B goes from -16 to 16.
Answer choice D goes from 10 to -10.
On the grid below, which point is located in the quadrant where the x- and y-coordinates are both negative numbers?
A
B
C
D
Answers
Step by step explanation:
A is at (6,4), both +
B is at (-4,2) only 1 -
C is at (-7, -2) both -
D is at (5, -4) only 1 -
Which expression is equivalent to (5^3)-2
Answers
Answer:
D)
Step-by-step explanation:
