Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that the {5} is the solution set of the function, therefore, we can write,
[tex]x = 5\\(x-5 )= 0[/tex]
Thus, (x-5) is one of the factors of the polynomial.
Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.
[tex](x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25[/tex]
Hence, the polynomial whose solution set is {5} is x²-10x+25.
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Answer:
x²-10x+25
Step-by-step explanation:
It was correct for me
Line q passes through points (9,10) and (5,1), Line r is parallel to line q, What is the slope.
Answer:
slope = 9/4
Step-by-step explanation:
Slope is a ratio (looks like a fraction) It tells you the steepness or flatness of a line.
To find slope you subtract the y's (that's the second number in the ordered pairs; here it's 10 and 1) put that on top. Then subtract the x's and put that on the bottom (here 9 and 5)
Slope = 10-1 / 9-5
=9/4
Now, parallel lines have the same slope, so if one of the lines has slope 9/4, then the other line does too!
Find x
1. x + 10 < -7
2. -3x - 4 > 5
Help me please
1)
x+10<-7
bring 10 to the other side
x<-10-7
x<-17
2)
-3x-4>5
bring -4 to the other side
-3x>9
divide -3 at the other side, since it is negative it changes to less than
x<-3
It is meaningful to compute the probability that a continuous random variable:_____.
a. is less than or equal to a number.
b. is exactly equal to a number.
c. is between two numbers.
d. is greater than or equal to a number.
Answer:
Step-by-step explanation:
is between two numbers.
is less than or equal to a number.
is greater than or equal to a number.
It is meaningful to compute the probability that a continuous random variable when it is between two numbers.
What is probability ?Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.
What is continuous random variable ?Continuous random variable is is one which takes an infinite number of possible values. A random variable is said to be continuous if it assumes a value that falls between a particular interval.
So, from the above mentioned statement we can assume that ;
The statement given in option [tex](c)[/tex] is correct .
Hence, we can say that it is meaningful to compute the probability that a continuous random variable when it is between two numbers.
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The function f(x) = 1/x-3 is defined for all real numbers except when x equals
1) 0
2) 3
3) --
4) 3
lol
Answer:
except when x = 3
Step-by-step explanation:
f(x) = [tex]\frac{1}{x-3}[/tex]
the denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
x - 3 = 0 ⇒ x = 3 ← excluded value
f(x) is defined for all real numbers except when x = 3
Hector used 438 cups of wheat flour and some corn starch to replace cake flour in a recipe that required 5 cups of cake flour. How much wheat flour is used to replace each cup of cake flour?.
Answer:
438/5 and some corn starch = 1 cup
so 87.6 of wheat flour cups for one cake flour cup
Step-by-step explanation:
1 cake flour=x
x=438/5
x=87.6 and some corn starch but it's not mentioned how much so we can just say 87.6 wheat flour cups for 1 cake flour.
Drag each label to the correct location on the image.
Tom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probability that exactly one out of the next three throws does not hit the target.
Categorize the simulations as correct or incorrect simulations of Tom’s scenario.
Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options
How to categorize the simulations?From the question, we have the following parameters:
Number of throws = 30Number of hits = 20This means that the probability of hit is:
P(Hit) = 20/30
Simplify
P(Hit) = 2/3
Using the complement rule,
P(Miss) = 1/3
The above means that the simulation that represents the situation must have the following parameters:
P(Success) = 2/3P(Failure) = 1/3Number of experiments = 3Using the above highlights, the correct scenarios are:
Rolling a die three times with numbers 1 to 4 representing a hitSpinner a spinner of 3 equal sections three times with two sections representing hitSpinner a spinner of 6 equal sections three times with four sections representing hitRead more about probability at:
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A student calculated the mean of a set of 15 numbers and gets a result of 41.6. In calculating the mean, he inadvertently entered 117 for one of the numbers into his calculator instead of 17. What is the true mean of the data
Answer:
35.93
Step-by-step explanation:
If the mean of 15 numbers is 41.6, the sum of these numbers must be (15)*(41.6) = 624
We n=know one of these numbers is the 117 that was entered by mistake. Subtract that out and replace it with the correct number, 17. In essence we are modifying the number by (-117+17) or -100.
524 is the corrected value. Divide that by 15 to find the ciorrect mean:
(524)/15 = 34.93
Vhat is the length of the unknown leg in the right triangle?
25 m
b
20 m
o 5 m
5 m
o 45 m
15 m
Mark this and return
Save and Exit
Next
Answer:
15m
Step-by-step explanation:
to answer this question, we need to use pythagorean theorem. this theory says:
a² + b² = c²
so, let’s work out b.
a² + b² = c²
20² + b² = 25²
20 x 20 = 400. 25 x 25 = 625.
400 + b² = 625.
we want to solve for b, which means to get b in it’s own, so we are going to get rid of the 400 on both sides, leaving just b² on the one side.
625-400=225.
b² = 225
b = √225
b = 15 :)
hope this helps!!!!
What is the equation of the circle if the center is located at ( 2,-5) and the circumference is 10？
Your dog is digging a huge hole in the backyard. On average he removes 32 cubic feet of
dirt each hour, How much dirt will he have removed if he digs for three hours. Express
your answer as a simplified fraction. SHOW YOUR WORK.
Answer:
The answer will be 96
Step-by-step explanation:
32×3=96
32
3
×
____
96
Answer:
96
Step-by-step explanation:
There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls
on the math team?
Answer:
8:5
Step-by-step explanation:
How many positive integers x satisfy the inequality x^2 + x < 100?
Answer:
9 numbers
Step-by-step explanation:
10^2 + 10 = 110. This is also greater than 100.
Highest value of x is 9.
9^2 + 9 = 90.
Not sure if zero counts, but if it does, it'll be 10 numbers instead.
Hope this helps!
There are 9 positive integers x satisfy the inequality x² + x < 100.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have the inequality
x² + x < 100.
First take x= 1 then
1² + 1 = 2 < 100
Take x= 2
2² + 2 = 6 <100
Take x= 3
3² + 3 = 12 < 100
Take x = 4
4² + 4 = 20 < 100
Take x= 5
5² + 5 = 30 < 100
Take x =6, 7, 8, 9, 10 and 11
6² + 6<100
7² + 7<100
8² + 8<100
9² + 9 <100
10² + 10 > 100
So, there are 9 possible digits.
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Use the diagram to complete the statement.
measure of angle ECD
Answer:
∠ECD = 82°
Step-by-step explanation:
Alternate Interior Angles Theorem : when two parallel lines are cut by a transversal, the alternate interior angles are congruent. Alternate angles form a Z shape and are sometimes called "Z angles".
Therefore,
∠CDF = ∠GBC = 45°
∠CEF = ∠GAC = 53°
The sum of the interior angles of a triangle is 180°
⇒ ∠ECD + ∠CDF + ∠CEF = 180
⇒ ∠ECD + 45 + 53 = 180
⇒ ∠ECD = 180 - 45 - 53 = 82°
In ∆ABC
m<C be x[tex]\\ \tt\longrightarrow x+53+45=180[/tex]
[tex]\\ \tt\longrightarrow x+98=180[/tex]
[tex]\\ \tt\longrightarrow x=180-98[/tex]
[tex]\\ \tt\longrightarrow x=82[/tex]
Now
m<ECD and m<ACB are opposite hence equal
a) a = 12, b = 16, c = ?
b) a = 15, b = ?, c = 18
c) a = ?, b = 6, c = 15
d) a = 4.1, b = 3.3, c = ?
e) a = ?, b = 6.5, c = 12.2
Answer:
a)c=20
b)b=16
c)a=-3
d)c=2•5
e)a=0•8
Work out
5/8
×
8/25
Give your answer in its simplest form
[tex]\cfrac{5}{8}\cdot \cfrac{8}{25}\implies \cfrac{5}{25}\cdot \cfrac{8}{8}\implies \cfrac{1}{5}\cdot 1\implies \cfrac{1}{5}[/tex]
I NEED HELP ASAP!!!!!
Answer:
24.5 mi
Step-by-step explanation:
Each cm represents 9.8 miles, so 2.5 cm will represent a distance 2.5 times as far:
(2.5)(9.8 mi) = 24.5 mi
From Old Faithful to West Thumb is 24.5 miles.
help me with solving for x please
Hey there!
8x - 3 + 4x + 3 = 180°
COMBINE the LIKE TERMS
(8x + 4x) - (3 + 3) = 180°
8x + 4x - 3 + 3 = 180°
12x + 0 = 180°
12x = 180°
DIVIDE 12 to BOTH SIDES
12x/12 = 180/12
CANCEL out: 12/12 because that gives you 1
KEEP: 180/12 because it helps solve for the x-value
NEW EQUATION: x = 180/12
SIMPLIFY IT!
x = 15
Therefore, your overall answer is: x = 15
The answer to your given question is:
12x + 0 = 180
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Adjust the equations to create three different parabolas that pass through the points.
Answer:
Make all of the +/-2 values into -3,+4
Step-by-step explanation:
This is because the x intercept values for a parabola are where the equation equals zero, by making the equations -3 and +4, the equations will give zero values at -4 and plus 3 when they are set equal to zero, I can specify further if need be.
Solve for x and show all work.
[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]
x = 21°y = 29°Explanation[tex] \\ [/tex]
To find value of x.
[tex] \\ [/tex]
⇢ (3x - 3)° = 60°
[tex] \\ [/tex]
Reason:-{
They both are alternate interior angles.
What is alternate interior angles.?
When two lines are cut by a third line, a transversal.}
[tex] \\ [/tex]
⇢ 3x - 3° = 60
⇢ 3x = 60° + 3°
⇢ 3x = 63°
⇢ x = 63°/3°
⇢ x = 21°
[tex] \\ [/tex]
Verification:
[tex] \\ [/tex]
⇢ (3x - 3)° = 60°
⇢ (3 × 21 - 3)° = 60°
⇢ 63° - 3° = 60°
⇢ 60° = 60°
LHS = RHS
HENCE VERIFIED!
[tex] \\ [/tex]
To find value of y.
[tex] \\ [/tex]
⇢(4y + 4)° + 60° = 180°
[tex] \\ [/tex]
Reason:-{
The lines are in linear pair.
What is linear pair?
A pair of adjacent angles that form angles when two lines intersect}
[tex] \\ [/tex]
⇢ (4y + 4)° + 60° = 180°
⇢ (4y + 4)° = 180° - 60°
⇢ 4y + 4° = 120°
⇢ 4y = 120° - 4
⇢ 4y = 116°
⇢ y = 116/4°
⇢ y = 29°
[tex] \\ [/tex]
Verification:
⇢ (4y + 4)° + 60° = 180°
⇢ (4 × 29 + 4)° + 60° = 180°
⇢(116 + 4)° + 60° = 180°
⇢ 120° + 60° = 180°
⇢ 180° = 180°
LHS = RHS
HENCE VERIFIED!
__________________~WindyMint♡
By using the equivalence of the formed angles, the solution is x = 41.
How to get X?
Note that the angle that is at the right of the equation with x, is equivalent to the bottom right angle, which measures 60°.
Then we will have that:
(3x - 3)° + 60° = 180°
Now we can solve that for x:
(3x - 3)° = 180° - 60° = 120°
3x = 120 + 3
x = 123/3 = 41
The solution is x = 41
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Please help with mark brainliest if correct!!! ASAP
Answer:
2 mm: 1 m
Step-by-step explanation:
The scale drawing has the length of the soccer field as 232 millimetres.The actual field is 116 meters long.That is, the same soccer field has different lengths in actual and in a map.
These scale and actual lengths must be related, and they are related to each other by what we call the scale ratio.
Scale ratio = dimensions in a drawing : actual dimensions
= 232mm : 116m
(we divide this by 116 to get 2)
= 2mm : 1m
Randy works 50 weeks a year, averaging $500 a week in wages. He is offered a salaried position at $27,500 a year. If he accepts it, he will make ______. A. Less money b. More money c. The same amount d. Can’t tell Please select the best answer from the choices provided A B C D.
Answer:
B
Step-by-step explanation:
$500 a week x 50 weeks in a year = $25,000 a year
$27,500 > $25,000
HOPE THIS HELPED
i will give brand list and hurry pleas
Answer:
3/2 cm/s
Step-by-step explanation:
speed = gradient of the line (slope)
To calculate the slope divide the change in y by the change in x:
(9 - 0) / (6 - 0) = 9/6 = 3/2 cm/s
If one book is 55 dirham then what is the cost of 20 books
Answer:
1100 dirham
Step-by-step explanation:
If one book is 55 dirham, then you multiply that by 20 to get the total cost.
(If you are supposed to go from dirham to something else, then I'm sorry I don't know)
Hope this helps!
A__ is two or more atoms joined together
Answer: c
Step-by-step explanation:
The answer Is C molecule
"Point D has the same x-coordinate as the y-coordinate as B same same y-coordinate as the x-coordinate of point A." I need help on C.
Let's name the x-coordinates and y-coordinates
x-coordinate = abscicca y-coordinate = ordinateSo, According to question
Abscicca of Point D = Ordinate of Point BOrdinate of Point D = Abscicca of Point AAbscicca of Point A = 2
Ordinate of Point B = -4
Thus,Point D = (-4,2)
The bottom of a rectangular swimming pool has an area of 512 feet2. If the length of the
pool is 16 feet, what is the width?
What are the angles for angles 2 through 8?
Please help (NO BOTS)
Answer: angle 2= 145
angle 3= 145
angle 4=35
angle 5=35
angle 6=145
angle 7= 145
angle 8=35
Step-by-step explanation:
look over your angle theorems like the interior angles theorem and the supplementary angle theorem
Calculate how much more or less the muse will earn per month compared to selina, is selina salary is R234740
Answer:
um yes to the opreations sjut ad
What is the percent of change from 60 to 87?
Answer:
45% increase
Step-by-step explanation:
The new number (87) is bigger than the original number (60), so this is a percent increase.
To find the percent of change, which in this case is a percent increase, take the change amount and divide by the original, then convert to a percent.
Subtract to find the change.
87 - 60 is 27.
27 is the amount of change.
change/original
= 27/60
= .45
Times by 100 to change to a percent.
.45 × 100
= 45%
please help me!!!!!!!
Answer:
See belowStep-by-step explanation:
#14Given:
m∠QPT = 42° and PR is its angle bisectorAngles QPR and TPR both are:
42/2 = 21°Verify if the remaining angles are same.
m∠PQR = 180° - 21° - 58° = 101°This is not same as ∠PTS:
101° ≠ 102°This makes ∠PST ≠ ∠PRQ
Since corresponding angles are different, the triangles are not similar
#16Given two right triangles.
Verify the corresponding sides have same ratio.
Find the ratio of longer legs:
LN/MN = 15/27 = 5/9Find JN:
JN = √(JM² - MN²) = √(30.6² - 27²) = √207.36 = 14.4Find the ratio of shorter legs:
LN/JN = 8/14.4 = 80/144 = 5/9The triangles are similar by SAS since we have two sides similar and included angle is same (right angle)