Answer:
One solution.
Step-by-step explanation:
Given that the equation is:
[tex]3(y+9)=12y+13[/tex]
To find:
The number of solutions of the given equation = ?
Solution:
First of all, let us learn a concept for number of solutions of a polynomial.
Number of solutions of a polynomial is equal to its degree.
Degree means the highest power of the variable.
Here, the variable is [tex]y[/tex] and it is observable that the highest power of
Therefore, only one solution will be there for the given equation.
Solving the equation:
[tex]3(y+9)=12y+13\\\Rightarrow 3y+27=12y+13\\\Rightarrow 12y-3y=27-13\\\Rightarrow 9y =14\\\Rightarrow \bold{y = \dfrac{14}{9}}[/tex]
The one solution is [tex]\bold{y=\frac{14}{9}}[/tex].
Hence, only one solution.
Hey There Answer One Solutions
Step-by-step explanation:
please help me on this i’ll mark u the brainliest
Answer:
Altitude
Step-by-step explanation:
A segment from a vertex of a triangle at right angles to the opposite side is an altitude.
Thus AB is an Altitude
Multiply.
(3 – 4i)(–2 – 2i)
Enter your answer in the box.
Answer:
[tex]\Huge \boxed{-14 + 2i}[/tex]
Step-by-step explanation:
(3 – 4i)(–2 – 2i)
Expanding brackets.
3(-2 - 2i) - 4i(-2 - 2i)
-6 -6i + 8i + 8i²
Apply imaginary number rule : i² = -1
-6 - 6i + 8i + 8(-1)
-6 - 6i + 8i - 8
Combining like terms.
-6 - 8 - 6i + 8i
-14 + 2i
Solve the following inequalities a) algebraically AND b) graphically.
19) X2 - X - 6 > 0
20) x2-2x - 5 > 3
21) x2 - 4x < 0
Answer:
Step-by-step explanation:
2x-x-5
( 3x + 8 ) - ( 2x + 7 ) when x=3
Answer:
4
Step-by-step explanation:
First, substitute x for 3 and simplify
(9 + 8) - (6 + 7)
Simplify again
17 - 13
Simplifly once more
4
answer 4
method: if x=3
Sol (3(3)+8) - (2(3)+7) changed x=3
Then multiply =(9+8) - (6+7)
Add and subtract = 17-13
Then subtract and you will have your answer =4
Hope it helped
Please mark brainliest :)
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Unit price (per loaf) with entries 1 dollar and 98 cents, 1 dollar and 95 cents, 2 dollars and 1 cent, 2 dollars and 2 cents. From which store should Camillo buy bread to get the best price? Store A Store B Store C Store D
Answer:
B
Step-by-step explanation:
The lowest price in column 2 is $1.95 per loaf, at store B.
Answer: 48.75
Step-by-step explanation:
name the four U.S cultiral regions
Answer:
(Northeast, South, Midwest, and West) hope is the right answer
Answer: The Northeast, Southwest, West, Southeast, and Midwest
Step-by-step explanation:
si entre 2 obreros tardan 10 días en hacer una carretera, ¿cuánto tardarán en hacer el mismo trabajo 4 obreros?
Answer:
5 dias
Step-by-step explanation:
10/2= 5
Answer:
Tardarán:
5 días
Step-by-step explanation:
Se trata de una regla de tres:
2 obreros son a 10 días
4 obreros son a W días
W = 10*2/4
W = 5
PLEASE HELP ME REALLY QUICK
Answer:
41
Step-by-step explanation:
BDA = DBC+CBA
84=5x+3 + 6x-7
Combine like terms
84 = 11x-4
Add 4 to each side
84+4= 11x -4+4
88 =11x
Divide each side by 11
88/11 = 11x/11
8 = x
We want angle ABC
ABC = 6x-7
=6*8 -7
=48-7
=41
Answer:
∠ABC = 41°
∠ DBC = 43°
Step-by-step explanation:
6x-7 + 5x+3 = 84
6x + 5x = 84 - 3 + 7
11x = 88
x = 8
∠ABC = 6x-7
= 6*8 - 7
= 48 - 7
= 41°
∠ DBC = 5x + 3
= 5*8 + 3
= 40 + 3
= 43°
2(x + 4) - 5 = 3x + 3
Answer:
x=0
Step-by-step explanation:
2(x+4)- 5 = 3x+3
Distribute
2x+8-5 = 3x+3
Subtract x values
8-5 = x+3
3 = x+3
Final Subtraction
x = 0
Answer:
x=0
Step-by-step explanation:
Use Cymath it helps with problems like that... www.cymath.com
in how many ways of the permutations of 10 different things taken 4 at a time will one particular thing always occur
Answer:
do as direct
which one of the following is square of 4
2
8
16
64
whch expression could be used to change 8 kilometers per hour to meters per minute
Answer:
133.33 meters per minute.
#FreeMelvin
I’m confused plz help meeee
If it's up then add then up , or you can trace it and move it up with paper.
Answer:
U'(-3, 1), M'(-1, 4), L'(-2, 0)
Step-by-step explanation:
To do a translation of 5 units up, add 5 to the y-coordinate of each point.
U(-3, -4) ----> U'(-3, -4 + 5) = U'(-3, 1)
M(-1, -1) ----> M'(-1, -1 + 5) = M'(-1, 4)
L(-2, -5) ----> L'(-2, -5 + 5) = L'(-2, 0)
Answer: The translated points are U'(-3, 1), M'(-1, 4), L'(-2, 0)
The sum of 4 consecutive even integers is 180. What are the integers?
Answer:
42, 44, 46, 48
Step-by-step explanation:
Let x be the first number. Then x + x + 2 + x + 4 + x + 6 = 180.
We can combine like terms, getting 4x + 12 = 180.
Then we get x as 42.
The numbers are 42, 44, 46, 48.
how do i do this and what’s the answer????
Answer:
The correct answer is z = -6.
Step-by-step explanation:
1/3 (2z + 6) = 1/4 (z - 2)
The first step I am going to take is to multiply both sides of the equation by 12 (the least common multiple of 3 and 4). This will eliminate the fractions on both sides of the equations and make the numbers much easier to work with.
4 (2z + 6) = 3 (z - 2)
Next, we can use the distributive property to eliminate the parentheses. This means multiplying each term inside the parentheses by the coefficient on the outside of the parentheses.
8z + 24 = 3z - 6
Now, we can subtract 3z from both sides of the equation.
5z + 24 = - 6
Next, we should subtract 24 from both sides of the equation.
5z = -30
Finally, we can divide both sides of the equation by 5.
z = -6
Therefore, the correct answer is z = -6.
Hope this helps!
Please help me I promise I will mark Brainliest, I need an answer asap!!!!!!!! please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the inverse of the function. f(x) = 5x + 6 A). f-1(x) = quantity x plus six divided by five B). Not a one-to-one function C). f-1(x) = x divided by five minus six D). f-1(x) = quantity x minus six divided by five
Answer:
D
Step-by-step explanation:
To find the inverse, all we have to do is switch the x and f(x) so instead of f(x) = 5x + 6, it becomes:
x = 5f(x) + 6
x - 6 = 5f(x)
f⁻¹(x) = (x - 6) / 5
what number system does 5.12 belong too
Answer:
Decimal Number System
Step-by-step explanation:
5.12 has a decimal in it. Therefore, it belongs to the decimal number system.
120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for _______________ Proportion (a) 146 1/4 days (b) 150 days (c) 2251/2 days (d) 260 days
Answer:
the answer is 150 days
Step-by-step explanation:
that is the answer
how do solve this (-m ^3)(7z)
Answer:
-7m³z
Step-by-step explanation:
(-m³)(7z) = -7m³z
Write an equation of each line in standard form with integer coefficients. y=4.2x+1.8
Answer: -21x + 5y = 9
Step-by-step explanation:
The standard form says that Ax + By=C
So to covert y = 4.2x + 1.8 into subtract 4.2 from both sides.
y = 4.2x + 1.8
-4.2x -4.2x
-4.2x + 1y = 1.8 Now it is written in standard form and to make the decimals integers we will multiply both sides by 10.
-4.2x(10) + 1y(10) = 1.8(10)
-42x + 10y = 18 which reduces to -21x + 5y = 9
PLEASE HELP ME I'LL MAKE YOU BRAINLIEST!!!! In 1972, federal vehicle emission standards 3.4 grams hydrocarbons released per mile driven. By 2007, the standards allowed only 0.8 grams hydrocarbons per mile driven. What was the rate of change from 1972 to 2007? Please show work thank you
======================================================
Work Shown:
x = year
y = amount of hydrocarbon emissions in grams, per mile driven
m = rate of change = slope
m = (y2 - y1)/(x2 - x1)
m = (0.8 - 3.4)/(2007 - 1972)
m = -2.6/35
m = -0.0742857 approximately
The approximate rate of change is about -0.0742857 grams per year. The negative rate of change indicates the per mile hydrocarbon amount has gone down by about 0.0742857 grams each year.
What is the slope of line m?|
ty
2
-2
-2
DONE
Answer:
-1/2
Step-by-step explanation:
Pick two points on the line
( 0,0) (2,-1)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-1-0)/(2-0)
= -1/2
= -1/2
You buy six T-bone steaks that cost $15.99 per pound. The weight that is listed on the package is 5.77 pounds. The scale that weighed the package is accurate to within 1 32 pound. How much per kilogram might you be undercharged or overcharged? (Round to the nearest cent.)
Answer:
$0.50
Step-by-step explanation:
Suppose that a person bought six T-bone steaks that cost $15.99 per pound
The weight that is listed on the package is 5.77 pounds.
The scale that weighed the package is accurate to within 1/32 pound
Let assume x is the range of the weight listed on the package,
Then:
[tex]|x-5.77| \leq \dfrac{1}{32} \ --- \ (1)[/tex]
Using the method of absolute value inequality;
[tex]- \dfrac{1}{32} \leq x -5.77 \leq \dfrac{1}{32}[/tex]
[tex]5.77- \dfrac{1}{32} \leq x \leq \dfrac{1}{32}+ 5.77[/tex]
[tex]5.77- 0.03125\leq x \leq 0.03125+ 5.77[/tex]
[tex]5.73875 \leq x \leq 5.80125[/tex]
The amount per kilogram undercharged or overcharged is :
[tex]=\dfrac{1}{32} \times 15.99[/tex]
= $0.50
Which of the following correctly classifies the number -5 to all of the number sets in which it belongs?
=============================================
Explanation:
Any number you'll encounter so far in your math course will be a real number. This is until you get to something like [tex]\sqrt{-1}[/tex] which is a complex number, but your teacher may not have covered that chapter yet.
Anyways, -5 is a real number because we aren't taking the square root of a negative or anything like that.
-5 is also an integer, but that choice isn't listed. The set of integers is any positive or negative whole numbers, including 0 as well.
Furthermore, -5 is considered rational because -5 = -5/1. We can write -5 as a fraction of two integers where 0 is not in the denominator. With -5 being rational, it cannot be irrational. The term "irrational" means "not rational".
Create a problem where the answer to the problem is your birthday. Make sure you use the Order of Operations. birthday 13
Answer:
2[3+4/-2(3-4)]+3
Step-by-step explanation:
2[3+-2(-1)] +3
2[3+2] +3
2(5) +3
10+3
13
Shen sees this in a supermarket: 5 chickens for $18.25. What is the cost of one chicken
Answer:
$3.65 per chicken
Step-by-step explanation:
Divide the coat of he chickens by the number of chickens.
18.25/5
= 3.65
So one chicken would cost $3.65.
Answer:
$3.65
Step-by-step explanation:
$18.65/5=$3.65
1 chicken=$3.65
Jon borrows 5.50 from his friends to pay for snacks, and 12.75 from his sister to go the movies. How much does he need to repay
Answer:
18.25
Step-by-step explanation:
Add 5.50 and 12.75
5.50 + 12.75 = 18.25
Answer: 18.25
Step-by-step explanation:
There are 12 inches in 1 foot. And there are 3 feet in 1 yard. How many inches are there in 1 yard.
Answer:
36 inches
Step-by-step explanation:
1 yard = 3 feet = 3*12 inches = 36 inches
1 yard = 36 inches
What is the solution to this system of equations?
x + y = 6
x = y + 4
A: (11/2, 1/2)
B: (21/2, 11/2)
C: (5, 1)
D: (1, 5)
Answer:
(5, 1) (Answer C)
Step-by-step explanation:
Note that the second equation features x as a function of y: x = y + 4. We can substitute y + 4 for x in the first equation, obtaining:
y + 4 + y = 6
and then, after we combine like terms,
2y = 2, or y = 1.
x = y + 4, subbing 1 for y here results in x = 1 + 4, or x = 5
The solution is (5, 1) (Answer C)
280 in standard form
Answer:
it is already in standard form
Step-by-step explanation:
Answer:
2802.8×10²Step-by-step explanation:
The first form above is "standard form" in the US.
The second form above is "standard form" in the UK.
A pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute. A second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. After how many minutes will the pools contain the same amount of water?
At time t, the first pool contains 50+2.3t gal of water, while the second pool contains 102.2-3.5t gal.
They contain the same amount of water when these quantities are equal:
50 + 2.3t = 102.2 - 3.5t
5.8t = 52.2
t = 9
so the pools have the same amount of water after 9 min have passed.
The pools will contain same amount of water in 9 minutes
Let the number of minutes that the pools contain the same amount of water be represented by t.
Since the first pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute, then this will be:
= 50 + (2.3 × t)
= 50 + 2.3t ......... equation i
The second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. This will be:
= 102.2 - (3.5 × t)
= 102.2 - 3.5t ........ equation ii
Equate both equations and this will be:
50 + 2.3t = 102.2 - 3.5t
Collect like terms
2.3t + 3.5t = 102.2 - 50
5.8t = 52.2
Divide both side by 5.8
5.8t/5.8 = 52.2/5.8
t = 9
In conclusion, they'll have same amount of water in 9 minutes
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