Step-by-step explanation:
two consecutive numbers means that one is larger by 1 than the other number.
so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.
to show what I mean, let's start with the second number being the larger one.
we are dealing therefore with x and (x+1).
3x + (x+1) - 2 = 144
4x - 1 = 144
4x = 145
x = 145/4
this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution.
therefore we are checking the other approach :
we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.
3(x+1) + x - 2 = 144
4x + 1 = 144
4x = 143
x = 143/4
this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution either.
and now I am beginning to think you left out some important information in the question.
could it be these 2 numbers are consecutive even or consecutive uneven numbers ?
because then the difference between the both of them is 2 and not 1.
we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :
3x + (x+2) - 2 = 144
4x = 144
x = 144/4 = 36
ah ! now that looks different !
36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.
let's check :
36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144
correct.
and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :
3(x+2) + x - 2 = 144
4x + 6 - 2 = 144
4x + 4 = 144
4x = 140
x = 140/4 = 35
35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...
so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.
Help please anyone!!!!!!
Answer:
[tex]\huge\boxed{D)\frac{3p}{p-3} }[/tex]
Step-by-step explanation:
The first thing that can help you here is factoring every term.
[tex]p^2-4p-12[/tex]
Factor.
[tex](p-6)(p+2)[/tex]
[tex]6p+12[/tex]
Factor.
[tex]6(p+2)[/tex]
18p
Factor, keeping in mind the denominator of the other term.
[tex]6(3p)[/tex]
[tex]p^2-9p+18[/tex]
Factor.
[tex](p-6)(p-3)[/tex]
Now you have simplified your original problem:
[tex]\frac{p^2-4p-12}{6p+12} *\frac{18p}{p^2-9p+18}[/tex]
into:
[tex]\frac{(p-6)(p+2)}{6(p+2)} *\frac{6(3p)}{(p-6)(p-3)}[/tex]
Now, after multiplying the numerator and denominator of the fractions:
[tex]\frac{(p-6)(p+2)(6)(3p)}{(6)(p+2)(p-6)(p-3)}[/tex]
Then, you can simplify the fraction by cancelling terms:
[tex]\frac{3p}{p-3}[/tex]
Hope it helps :) and let me know if you want me to elaborate.
Short response: the table shows the balance of a student bank account at various times estimate how much money is in the student bank account in week 6. justify your answer. HELP ME PLS.BRAINLIEST
Answer: It would be 102
Step-by-step explanation:
I need help with this and thought if any of you guys can help
Answer:
not enough info .
Step-by-step explanation:
sorry it needs more info
Simplify the following expression: (1 point)
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answer:
[tex]⟼3x {}^{2} + 12 + y[/tex]
Step-by-step explanation:
[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]
[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x + y[/tex]
Hello there!
Combine Like Terms:
2x-6y+3x^2+7y-14x
-12x+y+3x^2
3x^2-12x+y
Hope this helps. you!
~Just a determined gal
#CarryOnLearning
Please mark brainliest; I would really appreciate that! :)
[tex]MysteriousNature :)[/tex]
ayo help me please im dying of math
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3
Step-by-step explanation:
relax ! don't panic. just breathe deeply and then focus again.
a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.
this factor is given here as 3/2.
this is called common ratio, because of that building rule the ratio of 2 consecutive terms is
an/an-1 = factor = 3/2
the first term is 3.
so,
a1 = 3
a2 = a1×3/2 = 3×3/2 = 9/2
a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4
we see
an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)
and therefore
a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125
what is
-0.35 - (-0.25)??
Answer:
Please mark brainliest <3
Step-by-step explanation:
the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the value of c in this function?
Answer:
c = 2.
Step-by-step explanation:
When the first part of the function has the value 0, f(x) will also be 0 if the c wasn't there.
So the value of c is 2.
From the given graph n is a positive odd number.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
From the graph,
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]
So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.
Therefore, n is a positive odd number.
Learn more about the exponential function here:
brainly.com/question/11487261.
#SPJ7
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
Answer:
$1.75Step-by-step explanation:
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
2m = 200 cm
200 : 10 = 35 : x
x = 10 * 35 : 200
x = 1.75
what are the values of each variable
Answer:
x=14
Step-by-step explanation:
2x+4=3x-10
Add 10 to both sides, leaving you with
2x+14=3x
Subtract 2x from both sides, leaving you with
x=14
Can you please give me that answer
Answer:
Obtuse Triangle
Step-by-step explanation:
When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.
write 0.0000006234 in scientific notation
Answer:
6.234 × 10-7
Step-by-step explanation:
Answer:
6.234 x 10^-7
Step-by-step explanation:
When writing the number in standard form you have to look at the decimal point. If you already have a decimal point (like the question) then look for the first non-zero digit (in terms of the question, its 6). You have to move the decimal point to right until its after the first non-zero digit. Count how many spaces you moved, in this case its 7. If you are moving to the left you have to put a negative sign when writing the power of 10.
Hope this helps!!
Is 4 16/18 simplified and what is the simplified version
Answer:
no
4 16/18 = 88
88 simplified is 44/9 ?
10) On a football team, there are 14 offensive players and 16 defensive players. If there are
35 offensive players on the team, how many defensive players would there be?
Answer:
well its 7/8
7 5x 35 so
8 5x 40
40 deffensive players would be there
Mark has 2,250 t-shirts to sell. He sold 25% of the
shirts on Monday, 45% on Tuesday and the rest on
Wednesday. How many shirts did he sell on
Wednesday?
Answer:
1575
Step-by-step explanation:
A mailman earned $832 a week last year. What was his yearly salary?
Answer:
$43,264
Step-by-step explanation:
theres 52 weeks in a year so you just do $832 x 52
Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1
−
2
x
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
is the line are perpendicular then the product of there slope is -1
the slope of the first equation is 2
Step-by-step explanation:
m1+m2=-1
2+m2=-1
m2=-1-2
m2=-3
so the second equation became y=-3x+C
then insert the point (-1,2)
2=-3*-1+C
2=3+C
C=2-3
C=-1
so y=-3x-1
Hope that helps
Antonia earns $6 per hour helping her grandmother. Write and solve an equation to find how many hours she needs to work to earn $48.
Answer:
48 = 6h
48 = 6 x 8
48 = 48
Step-by-step explanation:
Let e equal her earning and h equal the amount of hours worked. You would divide 48 by 6 to find that she works 8 hours.
Find the distance between the two points in simplest radical form. Please help! <3
Answer: on the bottom is (-6,5) and on the top is (1,7)
Step-by-step explanation:
Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's B.
Step-by-step explanation:
whats the correct label
Is it Negative slope
Is it 0
Is it Positive slope
Answer:
1) Positive slope
2) Negative slope
3) 0 slope
Step-by-step explanation:
1) This is a positive slope. As x increases, y increases.
2) This is a negative slope. As x increases, y decreases.
3) This is a 0 slope. As x increases, y stays the same.
Answer:
First one is positive
Second one is negative
Last one is zero
Step-by-step explanation:
Jimmy is interested in purchasing some yellow and red flowers for his mother's birthday. He visits a local floral shop and gift shop. Both businesses have a variety of flowers from which he can choose. Which answer best describes the sample and population
Answer:
ll available yellow and red flowers at the two businesses
Population: all available flowers at the two businesses
Step-by-step explanation:
The sample and population should be sample represents all yellow and red flowers while the population represents all flowers.
What are the sample and population?The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole. A population in research doesn't usually refer to humans.
An entire group from which a conclusion should be derived is referred to as a population. The sample, on the other hand, refers to the population from which the data is drawn.
So based on this, we can say that the sample represents all yellow and red flowers while the population represents all flowers.
Learn more about population here:
brainly.com/question/9882283
#SPJ2
test ill give brainlist
Subtract.
7/8−4/8
Step-by-step explanation:
7/8 - 4/8.....find the common denominator
(7-4)/8 .....the common denominator is 8
3/8
hope this helps
PLEASE HELP!!!
what is the value of the expression 2/5m−1/3 when m = 3?
Answer:
13/15
Step-by-step explanation:
I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!
The value of the expression if m = 3 is 13/15
Given the expression as shown below:
2/5 m - 1/3If the value of m = 3, hence the expression will become;
2/5(3) - 1/3
6/5 - 1/3
Find the LCM
6/5 - 1/3 = 3(6)-5/15\
6/5 - 1/3 = 18-5/15
6/5 - 1/3 = 13/15
Hence the value of the expression if m = 3 is 13/15
Learn more on equations here: https://brainly.com/question/13763238
if f(x)= -13, find x
The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number
Answer:
The larger number is 96.
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]
Which general rule should you follow as you collect variable terms on one side of an equation?
Answer:
You should always Use addition or subtraction to separate the variable on one side of a equation.
Step-by-step explanation:
The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.
Answer:
bbc
Step-by-step explanation:
I really need help asap please!
Answer:
49
Step-by-step explanation:
the line joined by midpoints of sides is called midsection
which is parallel to the third side and is half its length
so (5x - 26) * 2 = 9x - 37
10x - 52 = 9x - 37
x = 52 - 37
x = 15
so PQ is 5x - 26
= 5*15 - 26
= 75 - 26
= 49
(x^2+3x+1)(x^2-2x+5)
Answer:
x^4 + x^3 + 13x + 5
Step-by-step explanation:
40 POINTSSS!!!!
The function g(x)=−x2+14x+39 is at a minimum when x=7.
True or False
The statement "the function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.
What is a expression? What is a mathematical equation? What is Equation modelling ?A mathematical function is made up of terms (constants and variables) separated by mathematical operators having a dependent and independent variable. A mathematical equation is used to equate two expressions. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which y exists.
We have the following function -
g(x) = - x² + 14x + 39
We will plot the graph of the function to find the minimum value. We can see the graph is maximum when x = 7. Hence, the statement is false.
Therefore, the statement "the function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.
To solve more questions on functions, visit the link below -
brainly.com/question/1632425
#SPJ2
