Construyendo las ecuaciones, se encuentra que el total de años que acumulan los cuatro hijos de Rigoberto es dado por 4x + 6.
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No sabemos la edad de el menor, entonces, la llaremos de x.Cada uno es un anõ mayor que el anterior, puesto que las edades son: [tex]x + 1, x + 1 + 1 = x + 2, x + 2 + 1 = x + 3[/tex]El total de años es dado por:
[tex]x + x + 1 + x + 2 + x + 3 = 4x + 6[/tex]
4x + 6, segunda opción.
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If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
What are the zeros of the following polynomial? 0=(x+5)(x-2)(x-3)
Which table shows a function that is increasing only over the interval (-2, 1), and nowhere else?
X
-3
-2
-1
0
1
2
f(x)
-6
43
-1
1
3
6
х
-3
-2
1-1
0
1
2
f(x)
-2
14
-1
1
4
3
х
L3
-2
-1
0
1
2
f(x)
-3
--5
--7
-6
1
-1
O
х
4-3
-2
-1
0
1
2
f(x)
5
7
1
0
-4
-2
Answer:
B
Step-by-step explanation:
Mr. Chavez spent $199.99 for a new smart phone, $39.99 on a carrying case, and $59.99 on accessories. The expression |-199.99| + |-39.99| + |-59.99| represents the total amount that Mr. Chavez spent. How much did Mr. Chavez spend altogether? Check your answer using estimation.
Answer:
$299.97
Step-by-step explanation:
Given that :
Total Amount spent :
New smart phone = $199.99
Carrying case = $39.99
Accessories = $59.99
Total amount spent is represented by the expression :
The expression |-199.99| + |-39.99| + |-59.99|
Since it is denoted using absolute value :
$(199.99 + 39.99 + 59.99) = $299.97
|-299.97|
Solve for : x
6x+34+ 8x+14
my last one please helpp
Answer:
x = 10
Step-by-step explanation:
8x + 14 = 6x + 34 (vertically opposite angles are equal)
Rearrange
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
So we know that they are equal to each other.
so 6x+34=8x+14
-6x
34=2x+14
-14
20=2x
/2
x=10
Help me please :>>>>>
Answer:
B, D
Step-by-step explanation:
Hey I need Help pls...
Select the correct answer.
Which statement is true about the slope of the graphed line?
A.
The slope is negative.
B.
The slope is positive.
C.
The slope is zero.
D.
The slope is undefined.
Answer:
negative
Step-by-step explanation:it goes down
Answer:
A-the slope is negative
Step-by-step explanation:
right on plato/edmentum
A jar contains only nickels, dimes and quarters. There is at least one of each type of coin in the jar. If the total value of the coins in the jar equals 60 cents, how many quarters are in the jar?
Answer: There is 1 quarter in the jar
Step-by-step explanation:
First, we see that there needs to be at least one coin of each; a nickel, a dime, and a quarter.
5+10+25=40 (cents)
A quarter is worth 25 cents, and the total value is only 60, so it is impossible for the quarter value to be more than one, otherwise breaking the total value of 60 cents.
Answer:
1
Explanation:
I did that questions in a Mathcounts competition
A parabola has its axis of symmetry at x = -2 and passes through the point (-5, 6). Find another point that passes through the parabola.
Answer:
(1,6)
Step-by-step explanation:
Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)
Solve for x. Perimeter = 126 meters
Answer:
image or context?????
Step-by-step explanation:
A restaurant bill is $20. Find the 15% tip.
Answer:
You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.
Step-by-step explanation:
Answer $3.00
Step-by-step explanation:
What percent of 25 is 20?
A) 40%
B) 50%
C) 60%
D) 80%
Solve the following equation for x: 3x - 4 = 8
x=-2
x=-4
x=2
X=4
Answer:
1. Add 4 to both sides. 3x-4+4=8+4
2. Divide 3 from both sides. 3x/3=12/3
3. Solution. x=4.
Step-by-step explanation:
How do you expect me to respect you when you don’t respect yourself
Answer:
You don't
Step-by-step explanation:
*Mind Blown*
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds.
Answer:
There were 15 small boxes shipped and 5 large boxes shipped.
Step-by-step explanation:
Let s = the number of small boxes shipped
Let l = the number of large boxes shipped
Each small box weigh 35 pounds, so (s) small boxes weigh 35s pounds. Each large box weigh 65 pounds, so (l) large boxes weigh 65l pounds. Therefore, the total weight 35s + 65l equals 850:
35s + 65l = 850
Since there were 3 times as many small boxes shipped as large boxes, there were MORE small boxes, so if we multiply 3 by the number of large boxes, we will get the number of small boxes, meaning s equals 3l
s = 3l
Write System of Equations:
35s + 65l = 850
s = 3l
Substitute value of s into the first equation:
35(3l) + 65l = 850
105l + 65l = 850
170l 850
__ = __
170 170
l = 5
Since l = 5, we know 5 large boxes were shipped.
Use l = 5 to solve for s:
s = 3l
s = 3(5)
s = 15
Since s = 15, we know 15 small boxes were shipped.
12) Given A(9, 2), B(-1, y)
C.(-5, 16) and D(-8, 11),
find the value of y So
that AB is perpendicular CD
Answer:
y=8
Step-by-step explanation:
(y-2)/(-1-9)=(y-2)/-10 (11-16)/(-8-(-5))=-5/-3=5/3 Perpendicular slope is -3/5
(y-2)/10=-3/5 cross multiply 5(y-2)=3(10) 5y-10=30 add 10 to both sides
5y=40 divide both sides by 5 and y is equal to 8.
The value of y is 8 if AB is perpendicular CD after using the slope formula.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),
AB is the perpendicular CD
Using the slope formula to find the slope between A and B:
(y-2)/(-1-9)
= (y-2)/-10
(11-16)/(-8-(-5)) =
-5/(-3)
= 5/3
The perpendicular slope is -3/5
(y-2)/10=-3/5
5(y-2)=3(10)
5y-10=30
5y=40
y = 8
Thus, the value of y is 8 if AB is perpendicular CD after using the slope formula.
Learn more about the slope here:
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HELP PLS
BRAINLIEST IF CORRECT
Answer:
I think it would be 1 and 3
Step-by-step explanation:
The correct answer is the first, second, and third.
1st Option-
This is pretty simple if you understand how a number line works. All the numbers on the right side are greater no matter what.
2nd Option -
All numbers on all sides could be rational, as we don't know what kind of number line this is.
3rd Option-
This is also correct because like the previous statement, the number line is unknown. We could have repeating numbers as long as the ones on the left side are less than the ones on the right.
4th Option -
This is incorrect because no matter what number line you have, the numbers on the left side are ALWAYS less than the ones on the right.
URGENT NEED HELP DUE IN 12 AM
Answer:
ASA
Step-by-step explanation:
you can prove it by using ASA (Angle Side Angle)
ASA is a postulate that states if two angles and one side are congruent to another triangle.
hope this helps :)
brainliest?
Answer:asa
Step-by-step explanation:
because it is lol
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
[tex]P(x)=-15x(x-8)[/tex]
To find:
The current which will produce the maximum power.
Solution:
We have,
[tex]P(x)=-15x(x-8)[/tex]
[tex]P(x)=-15x^2+120x[/tex]
Differentiate with respect to x.
[tex]P'(x)=-15(2x)+120(1)[/tex]
[tex]P'(x)=-30x+120[/tex] ...(i)
To find the extreme point equate P'(x)=0.
[tex]-30x+120=0[/tex]
[tex]-30x=-120[/tex]
Divide both sides by -30.
[tex]x=4[/tex]
Differentiate (i) with respect to x.
[tex]P'(x)=-30(1)+(0)[/tex]
[tex]P'(x)=-30<0[/tex] (Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
its 4 amperes
Step-by-step explanation:
khan said so
10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the bay. The number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Which value represents the slope and what does it mean in the context of the scenario?
Answer:
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the form:
f (x) = m*x + b or y=m*x + b
where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.
The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis. According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.
You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.
what is −58+34 any one know?
Answer:
-24
Step-by-step explanation:
Answer:
-58 + 34 = -24
Step-by-step explanation:
You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.
REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.
Hope that was helpful and not confusing!!!
Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.
Answer: Well I believe the answer is Y= x - 55
Step-by-step explanation:Hope that works :)
At a basketball game, a vender sold a combined total of 222 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
Probably 169
Step-by-step explanation:
I divided 222 by 2 and got 111 so i added 58 and got 169
111+58=169
If im incorrect please correct me so i can learn as well :D
Question 7 (Essay Worth 5 points) (02.03) Part A: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea. Part B: Determine the unit rate in your example.
Answer:
Kindly check explanation
Step-by-step explanation:
For every 3 hours of weeding performed, I consume 5 litres of water.
This means that, I drink 5 litres of water whenever I weed for a total of 3 hours.
The unit rate :
The liters of water consumed per hour :
3 hours = 5 litres
1 hour = x
3x = 5
x = 5 /3
x = 1.67 litres
1.67 litres of water per hour of weeding performed
.
Answer:
an intruder is coming close brainly for a little please!!!!!!!!!!!!!!!!!
Step-by-step explanation:
−8x+9y=-21 -3x+9y=−36
Answer:
x=-3 y=-5
Step-by-step explanation:
big brain
Account
Does this equation have a single solution, Inhnite solutions, or no solution?
Dashboard
2x + 2x + 2 = 4x + 2
Courses
teolition
Calendar
Inhnite solutions
ne solution
Inbox
Next
Hele
No new data to save Last checked at 5: Sopm
Submit Quie
Answer: Not sure why you copied the text of the website as well, but it has infinite solutions. You get 4x + 2 = 4x + 2, or 0 = 0.
Step-by-step explanation:
Please Help ASAP! 8 POINTS!!
Ashley spends ⅙ hours of a day online. Ashley spends 3/8 of that time writing a blog. How long does Ashley spend writing a blog?
Answer:
It should be 1/16
Step-by-step explanation:
The word of in a word problem means multiplication so if you multiply you get 1/16
Answer:
Step-by-step explanation:
Time spend on online = 1/6 of 24 hours
= [tex]\frac{1}{6}*24[/tex]
= 4 hours
Time spend on writing a blog = 3/8 of 4
= [tex]\frac{3}{8}*4[/tex]
= [tex]\frac{3}{2}= 1\frac{1}{2}[/tex]
= 1 hour 30 minutes
Multiply. (2/5)(−5/4) Enter your answer as a fraction, in simplest form, in the box.
Answer:
[tex]\frac{2}{5}[/tex]×[tex]-\frac{5}{4}[/tex]=[tex]-\frac{10}{20}[/tex]=[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
2×5=10
5×4=20
add "-"
simplest
10÷10=1
20÷10=2
add "-"
Ans: -1/2 ([tex]-\frac{1}{2}[/tex])
Answer:
it is -1/2
Step-by-step explanation:you can trust me i did the quiz.
What is the product of 70 and 1.8 x 10^3 expressed in scientific notation?
Answer:
70 x 1800 = 126000=1.26 x 16^5
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
70 and 1.8 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be
⇒ 70 × 1.8 × 10³
⇒ 126 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
More about the Algebra link is given below.
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zia can make 12 batches of cookies in 6 hours. How long does it take her to make 2 batches of cookies? Show (visual representation) or explain (explanation using academic vocabulary) your reasoning.
Answer:
1hour
Step-by-step explanation:
1 hour because twelve divided by 6 is 2