what is the solution to the equation below ? x+1= sqrt19-x
Answers
For expression x+1= √19-x, the value of x is approximately 3.
What exactly are expressions?
In mathematics, an expression is a combination of symbols and operators that represents a quantity or a mathematical relationship. It can contain numbers, variables, operators, functions, and other mathematical symbols. Expressions are used to represent mathematical operations and relationships, and they can be evaluated or simplified using mathematical rules and properties. Examples of expressions include 3x + 2, (x + y) / (x - y), and sin(x) + cos(y).
Now,
Starting with the given equation:
x + 1 = √(19 - x)
We can begin by squaring both sides of the equation to eliminate the square root:
(x + 1)² = (√(19 - x))²
Simplifying the right-hand side:
(x + 1² = 19 - x
Expanding the left-hand side:
x² + 2x + 1 = 19 - x
Moving all the terms to one side:
x² + 3x - 18 = 0
Now we can solve this quadratic equation using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = 3, and c = -18:
x = (-3 ± √(3² - 4(1)(-18))) / 2(1)
x = (-3 ± √(81)) / 2
x = (-3 ± 9) / 2
This gives us two solutions:
x = 3 or x = -6
However, we must check both solutions to make sure they are valid in the original equation:
Checking x = 3:
x + 1 = √(19 - x)
3 + 1 = √(19 - 3)
4 = √16
4 = 4
This solution works.
Checking x = -6:
x + 1 = √(19 - x)
-6 + 1 = √(19 + 6)
-5 = √25
-5 ≠ 5
This solution does not work.
Therefore, the solution to the equation x + 1 = √(19 - x) is x = 3.
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Correct question:
What is the solution to the equation below ?
x+1= √19-x
Related Questions
I'll give you brainliest! Just need help with 5-10! (Least common factors)
Answers
Answer:
603048424555Step-by-step explanation:
5.
\(12,\:30\\\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}30:\quad 2\times\:3\times\:5\\\\=2\times\:2\times\:3\times\:5\\\\=60\)
6.
\(6,\:10\\\\\mathrm{Prime\:factorization\:of\:}6:\quad 2\times\:3\\\mathrm{Prime\:factorization\:of\:}10:\quad 2\times \:5\\\\=2\times \:3\times \:5\\\\=30\)
7.
\(16,\:24\\\\\mathrm{Prime\:factorization\:of\:}16:\quad 2\times \:2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}24:\quad 2\times\:2\times\:2\times\:3\\\\=2\times\:2\times\:2\times\:2\times\:3\\\\=48\)
8.
\(14,21\\\\\mathrm{Prime\:factorization\:of\:}14:\quad 2\times\:7\\\mathrm{Prime\:factorization\:of\:}21:\quad 3\times\:7\\\\=2\times\:7\times\:3\\\\=42\)
9.
\(9,15\\\\\mathrm{Prime\:factorization\:of\:}9:\quad 3\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times\:3\times\:5\\\\=45\)
10.
\(5,\:11\\\\\mathrm{Prime\:factorization\:of\:}5:\quad 5\\\mathrm{Prime\:factorization\:of\:}11:\quad 11\\\\=5\times \:11\\\\=55\)
A recent poll found that 35% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will be worried about aggressive drivers on the road?
Answers
The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225
The probability a surveyed driver is worried = 35%
P(worried) = 0.35 Number of people surveyed = 3Since the probability of being worried is independent ;
Probability = P(A) × P(B) × P(C)The probability that all 3 surveyed are worried :
P(worried) × P(worried) × P(worried) (0.35 × 0.35 × 0.35) = 0.1225Therefore, the probability that all three people surveyed are worried is : 0.1225
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Sam is a school leader. She wants to decide whether makeup should be allowed in school or not. She
collected random samples of 100 females regarding their makeup preference. Make at least two inferences
based on the results.
Answers
Answer:
Following are the sample list can be attached as follows:
Step-by-step explanation:
In the given question some information is missing that is attachment of list which can be attached as follows:
please find the attachment list:
by evaluating the list it will give the answer that the both the samples most want to wear mascara the least want to wear lipstick.
Answer:so you bumbaclott
Graph -2/3x+3 please
Answers
Answer:
It has a slope of -2/3 and the y intercept is 3
Step-by-step explanation:
Round 10,053 to the nearest hundreds?
Answers
Answer:
10,100
Step-by-step explanation:
Rounding off to the Nearest hundred is giving a number which ends as 5600 or 6700 etc. To round a number to its nearest hundred you have to first look at the tenths place ( in this case 53) if a number is 50 or above you round it to the next hundred example - 5678 rounded to the nearest hundred is 5700. If a number is below 50 example - 1348, you round it to the same hundred - 1300.
Hope this helps!
There are 1100 students at school.
540 students are girls, the rest are boys.
1/10 of girls are left handed.
1/8 of the boys are left handed.
Work out the number of left handed students in the school.
Answers
Answer:
54 girls are left handed.
70 boys are left handed.
70+54 = 124 left handed students in the school
Step-by-step explanation:
GEOMETRY 100 POINTS CHALLENGE
Answers
Answer:
∠D = 44
Step-by-step explanation:
Since EF║DG, ED is a transversal
⇒ ∠E + ∠D = 180
⇒ ∠D = 180 - ∠E
= 180 - 136
= 44
⇒ ∠D = 44
Which of the following does not adequately reveal outliers?
A. Stemplots
B. Modified boxplots
C Density curves
D. Histograms
Answers
Answer:
C
Step-by-step explanation:
Density curves is a graph that shows probability. The area under the density curve that is equal to 100% of all probability. Moreover, density curve can be skewed distribution. Density curve is bell shaped, therefore, adequately does not reveal outliers.
Let f be a nonnegative measurable function on E
(1) Show there is an increasing sequence of nonnegative simple functions on E, each of finite support, which converges pointwise on E to
(2) Show that, f=sup φ simple, of finite supportand 0 os fonE}
Answers
If f is F-measurable and non-negative on E ∈ F and µ(E) = 0
thenREf dµ = 0.ProofLet 0 ≤ s ≤ f be a simple, F-measurable function. So s =PNn=1 anχAnfor some an ≥ 0,
An ∈ F. Then IE(s) = PNn=1 anµ(An ∩ E). But µ ismonotone which means that µ(An ∩ E) ≤ µ(E) = 0 for all n and so IE(s) =0 for all such simple functions.
Hence I(f, E) = {0} and so REf dµ =sup I(f, E) = 0. ¥Lemma 4.7 If g ≥ 0 and REgdµ = 0 thenµ{x ∈ E : g(x) > 0} = 0.Proof Let A = {x ∈ E : g(x) > 0} and An = {x ∈ E : g(x) >1n}.
Thenthe sets An = E ∩ {x : g(x) >1n} ∈ F satisfy A1 ⊆ A2 ⊆ A3 ⊆ ... withA =S∞n=1 An. By lemma 4.1 µ(A) = limn→∞ µ(An). Usingsn(x) = ½ 1nif x ∈ An0 otherwise,so sn ≤ g on An we have1nµ(An) = IAn(sn)≤RAngdµ by the definition of RAn≤REgdµ
Thereom 4.4(iii)= 0 by assumption.So µ(An) = 0 for all n and hence µ(A) = 0. ¥Definition If a property P holds on all points in E \ A for some set A withµ(A) = 0 we say that P holds almost everywhere (µ) on E, written as a.e.(µ)on E.
(*It might be that P holds on some of the points of A or that the set ofpoints on which P does not hold is non-measurable.
This is immaterial. Butif µ is a complete measure, such as the Lebesgue-Steiltje’s measure µF, thenthe situation is simpler.
Assume that a property P holds a.e.(µ) on E.
Thedefinition says that the set of points, D say, on which P does not hold can becovered by a set of measure zero, i.e. there exists A : D ⊆ A and µ(A) = 0.
Yet if µ is complete then D will be measurable of measure zero.In this section we are not assuming that µ is complete.)
Kai took five tests this semester. His scores are listed below.
92, 88, 90, 96, 84
What is the mean absolute deviation of Kai's test scores?
Answers
Answer: 16
Step-by-step explanation:
Find the mean absolute deviation of the data:
X : 92, 88, 90, 96, 84
Find the mean(m) of the data:
m = Σ(X) / n
n = number of samples
(92 + 88 + 90 + 96 + 84) / 5
m = 450 / 5
m = 90
Absolute Deviation of each value of the mean:
|x - m| :
|92 - 90| = 2
|88 - 90| = 2
|90 - 90| = 0
|96 - 90| = 6
|84 - 90| = 6
Σ|x - m| = 2 + 2 + 0 + 6 + 6 = 16
Answer:
3.2
Step-by-step explanation:
Aldo received 6/7 of the 63 votes cast for class treasurer. How many votes did he receive?
Answers
Answer:
54 votes
Step-by-step explanation:
Given statement:
\(\text{Aldo received 6/7 of the 63 votes cast for class treasurer.}\)
Let us put this information in ratio form. Assuming that Aldo received x number of votes. The statement in ratio form will be the following:
\(\implies 6 : 7 = \text{Aldo's total votes} :63\)
Substituting the total votes of Aldo as x:
\(\implies 6 : 7 = \text{x} :63\)
Now, let's convert the ratios into fractions. Then, we can solve for x.
\(\implies 6 : 7 = \text{x} :63\)
\(\implies \dfrac{6}{7} = \dfrac{x}{63}\)
Finally, solve for x using cross multiplication.
\(\implies \dfrac{6 \times 63}{7} = \dfrac{x}{1}\)
\(\implies \dfrac{6 \times 9}{1} = \dfrac{x}{1}\)
\(\implies x = 54\)
Therefore, Aldo received 54 votes for class treasurer.
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help it is math i need help pls pls pls pls
Answers
Answer:
I’ll go horizontal.
Step-by-step explanation:
-0.6 0.95 3.8
0.46 -1.625 0.76
4.4594594594595 −5.2727272727273 0.70833333333333
6.21875 7.4090909090909 −1.3541666666667
Hope this helped! :)
can you help me18f=-216
Answers
A man pulled a cart filled with stones that had a total mass of 60 kg.
He increased the amount of force used to pull the cart from 60 N to 90 N, what is the new
acceleration of the cart?
Answers
a1 = f/m
a1 = 60/60 = 1ms^-2
a2 = f2/m
a2 = 90/60
a2 = 1.5ms^-2
The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Formula of force,
F = ma
Given that,
A man pulled a cart filled with stones that had a total mass of 60 kg
He increased the amount of force used to pull the cart from 60 N to 90 N
New acceleration of cart = ?
F = ma
Old acceleration,
60 = 60a
a = 1 m/s²
New acceleration,
90 = 60a
a = 90/60
a = 3/2
a = 1.5 m/s²
Hence, the new acceleration is 1.5 m/s²
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Compare: Both equations. You may graph them in Desmos if that helps.
Answers
Using translation concepts, the changes are described as follows:
In function f(x), there was a reflection over the x-axis.In function g(x), there was a reflection over the y-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, we have that both functions, f(x) and g(x), were reflected, as follows:
In f(x), we have that f(x) -> -f(x), which means that it was reflected over the x-axis.In g(x), we have that g(x) -> g(-x), which means that it was reflected over the y-axis.More can be learned about translation concepts at https://brainly.com/question/4521517
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Casey bought 9 tickets to a concert. The total charge was $104, including a $5 service charge. Write an equation you can use to solve to find c, the cost of one ticket.
Answers
Answer:
104-5/9
Step-by-step explanation:
just divided ND SUBTRACT
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answers
The true statement, regarding the signal of the graphed function, is given by:
F(x) > 0 over the interval (–∞, –4).
When a function is positive and when it is negative?Looking at it's graph, we have that:
The function is positive when it is above the x-axis.The function is negative when it is below the x-axis.Researching this problem on the internet and looking at the graph of the function, the function is negative for all values to the right of x = -4, and positive to the left, hence the correct statement is given by:
F(x) > 0 over the interval (–∞, –4).
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Please help 10points!
Find x.
Answers
Answer:
The value of x is 19.
Step-by-step explanation:
Given:
m∠1 = (4x + 9)°
m∠2 = (x - 14)°
Since m∠1 and m∠2 are complementary angles, we have:
m∠1 + m∠2 = 90°
Substituting the given expressions for m∠1 and m∠2:
(4x + 9)° + (x - 14)° = 90°
Combining like terms:
4x + 9 + x - 14 = 90
Combining the x terms and the constant terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 90 + 5
Simplifying:
5x = 95
Dividing both sides by 5:
x = 95 / 5
Simplifying further:
x = 19
Anwerrrrrrrrrrrrrrrrrrrrrrrrrrrrr!!!!!! Please!!!
Answers
Answer:
what do u want me to solve all of it?
Step-by-step explanation:
When beginning a depth-first search to determine whether a dfa accepts any strings, we first mark the start state. we will call this step 0. which states will be marked in step 1 for the dfa above? (enter the states in alphabetical order.)Which states are marked in step 2? Which states are marked in step3?Which states are marked in step 4 ? Which states are marked in step 5? What is the shortest string accepted by this language?
Answers
The shortest string accepted by this language is the one that leads to an accepting state in the fewest number of steps. This can be determined by examining the states that are marked in each step and finding the first one that is an accepting state.
When beginning a depth-first search to determine whether a DFA accepts any strings, we first mark the start state. We will call this step 0.
`In step 1, the states that will be marked are the ones that are directly reachable from the start state by following a single transition. These states will be marked in alphabetical order.
In step 2, the states that will be marked are the ones that are directly reachable from the states marked in step 1 by following a single transition. Again, these states will be marked in alphabetical order.
In step 3, the states that will be marked are the ones that are directly reachable from the states marked in step 2 by following a single transition. These states will be marked in alphabetical order.
In step 4, the states that will be marked are the ones that are directly reachable from the states marked in step 3 by following a single transition. These states will be marked in alphabetical order.
In step 5, the states that will be marked are the ones that are directly reachable from the states marked in step 4 by following a single transition. These states will be marked in alphabetical order.
The shortest string accepted by this language is the one that leads to an accepting state in the fewest number of steps. This can be determined by examining the states that are marked in each step and finding the first one that is an accepting state.
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will mark BRANLIEST and give you ALL MY POINTS, and answer ANY QUESTIONS U MAY HAVE!!!! pls help! tysm <3
Answers
hope this helped!:)
Answer:
\(\huge \boxed{1+(-3)=-2}\)
Step-by-step explanation:
An arrow goes from 0 to 1.
So 0 + 1 or just 1.
An arrow goes from 1 to -2.
So 1 - 3 = -2.
1 moves 3 units to the left to -2.
\(1+(-3)=-2\)
Mario is making 12 dozen cookies. Each dozen requires
3
5
cup of flour. How many total cups of flour does Mario use?
Answers
Answer:
7 1/5 cups of flour
Step-by-step explanation:
divide 3/5 which is 0.6 then multiply that by 12, which is 7.2
then convert that into a fraction which is 7 1/5
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
Answers
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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I believe it’s D but I’m not sure please help this are my last points
Answers
Jessica needs to know how much water her new fish tank can hold:
A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.
Determine the total volume of the fish tank.
Answers
The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
The volume of a rectangular prism can be calculated using the formula:
V = l x b x h..........(i)
where,
V ⇒ Volume
l ⇒ length
b ⇒ width
h ⇒ height
From the question, we are given the values,
l = 8 inches
b = 4 inches
h = 9 inches
Putting these values in equation (i), we get,
V = 8 x 4 x 9
⇒ V = 288 in³
Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
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i cannot figure this out for the life of me. any help?
Find f(3) for the
piece-wise function.
f(x) =
x+1
X
if x > 0
if x ≤ 0
f(3) = [?]
Answers
Answer:
f(3) = 3 + 1 = 4
Step-by-step explanation:
Since 3 > 0, we need to focus on the part of the function where x > 0. So:
f(3) = 3 + 1 = 4.
Please help meee!!!!
Answers
Step-by-step explanation:
I answered that already.
The question is in the photo. Complete d, e, and f using the second picture uploaded.
Answers
d) For the graph, we will take the points from the table and we will graph it
The x-axis represents the figure and the y-axis is the number of tiles
e) the growing pattern is 6
\(\frac{11-5}{1-0}=6\)f) using the formula
x=number the figure
y=number of tiles
\(y=6x+5\)If x=100
\(y=6(100)+5=605\)We will have 605 tiles
H
6:00 PM
What is a frostbite?
Answers
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
Answers
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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