Answer:
The remainder is 11.
Step-by-step explanation:
We are given the polynomial:
[tex]f(x) = x^3 + x^2 - 9x + 23[/tex]
And we want to find its remainder when the polynomial is divided by:
[tex]x + 4[/tex]
We can use the Polynomial Remainder Theorem. According to the PRT, if we divide a polynomial P(x) by a binomial in the form (x - a), the remainder will be given by P(a).
In this case, our binomial is (x + 4) or (x - (-4)). Hence, a = -4.
Then the remainder will be f(-4):
[tex]\displaystyle \begin{aligned}f(-4) &= (-4)^3 + (-4)^2 - 9(-4) + 23 \\ &= 11 \end{aligned}[/tex]
In conclusion, the remainder of the operation is 11.
A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
[tex]\frac{170}{17}[/tex] = 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
The number of yellow marbles in the bag is 50
Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values. For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.
In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.
Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles
Sum of ratios = 9 + 3 + 5 = 17
(5 / 17) x 170 = 50 marbles.
To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults
HELP I NEED SOMBODEY HELP NOT JUST ANYONE JK HELP ME PLSSSSS
A number divided by 4 plus 3 is 8
Answer:
[tex]number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you[/tex]
Answer:
[tex]let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped[/tex]
Is that the right answer..?
9514 1404 393
Answer:
the correct answer is 47
Step-by-step explanation:
You are correct down to the part where you're adding the numbers.
50 -10 +7 = 40 +7 = 47
__
The sign of the 7 is positive. The minus sign only applies to 10.
_____
Additional comment
Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...
(50 +7) -(10) = 57 -10 = 47
please answer my question it's urgent
a = 16
Solution:common ratio = (-1/8)/(1/16)=-2a1 = 1/6
n=9
an = a1 (r n-1)a9 = a1
a9 = 1/16 (-2 9-1)
a9 = 1/16 (-28)
a9 = 1/16 (256)
a9 = 16
I hope this helps :)
Find the slope of the line passing through the points ( 9, -5) and (1, -1)
Answer:
m = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{2} }[/tex]
~~~~~~~~~
( 9 , - 5 )
( 1 , - 1 )
m = ( - 1 - ( - 5 ) ) / ( 1 - 9 ) = - [tex]\frac{1}{2}[/tex]
Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15
Answer:
x ≠ -4, -1, 3
Step-by-step explanation:
12/(x^2+5x+4) = 8x/(5x-15)
12/((x+1)(x+4)) = 8x/(5(x-3))
division by zero is undefined
There are 3 answers to your question. x= -1 x= 3 x= -4
Write an equation of the circle (6, -3) and radius 12.
This is my answer:
(x-6)^2 + (y+3)^2= 144
Is my answer correct? ^ means exponent
Answer:
(x-6)^2 + (y+3)^2= 144
Step-by-step explanation:
The equation of a circle can be written in the form
(x-h) ^2 + (y-k) ^2 = r^2 where (h,k) is the center and r is the radius
( x-6) ^2 + ( y--3)^2 = 12^2
(x-6)^2 + (y+3)^2= 144
Use the following conversions to answer the question.
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
How many minutes are there in a week?
A. 420
B. 1,400
C. 10,080
D. 604,800
Answer:
C. 10,080
Step-by-step explanation:
There are 60 minutes in an hour, therefore 60 * 24 = minutes in a day and, 60 * 24 * 7 = minutes in a week, so 60 * 24 = 1440. and 60* 24 * 7
→
1440 * 7 = 10080 minutes in a week.
What is p (blue)? ......
Answer:
P(blue)= 0.25 or 1/4
Step-by-step explanation:
On this spinner, each spot is the same size; therefore, there is a 1 in 4 chance that the spinner lands on blue. This is because there are 4 options but only one of them is blue. Then, if you want a decimal just divide 1 by 4. This equals 0.25. Additionally. If you wanted the answer as a percentage multiply the decimal by 100, so the percentage would be 25%.
Add.
−5/6+(−2 5/8)
Enter your answer as a simplified fraction by filling in the boxes.
Step-by-step explanation:
[tex] - \frac{5}{6} + ( - 2 \frac{5}{8} )[/tex]
[tex] = - \frac{5}{6} - \frac{21}{8} [/tex]
[tex] = \frac{ - 20 - 63}{24} [/tex]
[tex] = \frac{ - 83}{24} (ans)[/tex]
ANSWER BOTH IF POSSIBLE
Answer:
Question 8: (3,12)
Question 9: (8,-9)
Step-by-step explanation:
Question 8.
(5+x)/2 = 4
5+x=8
X = 8-5
X=3
(-6+y)/2=3
-6+y=6
Y=12
Question 9
(-2+x)/2=3
-2+x=6
X=8
(9+y)/2=0
9+y=0
Y=-9
67. Evaluate 2a - 3 when a = - 5
Answer:
-13
Step-by-step explanation:
2a - 3, where a = -5
= 2(-5) - 3
= -10 - 3
= - 13
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{2a - 3}\\\\\huge\textsf{= 2(-5) - 3}\\\\\huge\textsf{= -10 - 3}\\\\\huge\textsf{= -13}\\\\\\\huge\textsf{Therefore, your answer is: \boxed{\mathsf{-13}}}\huge\checkmark\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\huge\textsf{Amphitrite1040:)}[/tex]
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.
What will your final grade be if your homework average is 95 and your test average is 56?
Answer value
Using weighed averages, it is found that your final grade will be of 82.13.
-----------------------------------
The weighed average is given by the sum of the grades multiplied by it' weights.The homework grade is 95.The test grade is 56.The higher grade is worth 67% of the grade. Thus, the homework grade, of 95, is worth 67% of the final grade.The lower grade is worth 33% of the grade. Thus, the test grade, of 56, is worth 33% of the final grade.Using the data and the weighed average concept, the final grade is:
[tex]G = 0.67(95) + 0.33(56) = 82.13[/tex]
The final grade is 82.13.
A similar problem is given at https://brainly.com/question/24398353
1. If x = y and x + 2y = 6 then find value of 'y'.
I don know
hi <3
you can solve this by substituting one equation into the other.
in this case, it is more simple to substitute the first equation into the second, as it is already arranged into a simple format
so:
y + 2y = 6
now you can simplify:
3y = 6
divide both sides by 3 to get your answer:
y = 2
hope this helps <33
Đại số tuyến tính sinh viên
Answer:
si
Step-by-step explanation:
use the given sets to answer the following questions A=1,3,5,7 B=2,3,4,5,6,8 c=2,3,5 D=1,2,3,4,5,6,8
Step-by-step explanation:
Steps are in the picture above.
12. Write an expression for the phrase 3 times the quantity 7 less than m
A. 3(m - 7)
B. 317-m)
C. 3(m + 7)
D. 3 + m - 7
Answer:
A
Step-by-step explanation:
7 less than m=m-7
multiplied by 3 = 3(m-7)
Answer:
C. 3(m + 7)Step-by-step explanation:
First,
7 less than m = m - 7
Then,
3 times the quantity of 7 less than m = 3 ( m - 7 )
Hence,
Req. expression is 3(m-7)
The difference of v and 5 is less then or equal to g?
Answer:
i can answer that if v and g were representing integers. if not, then then this can`t be solved
Answer pls urgent shhzhzhsensnsj
Answer:
1/6 + 1/2 = 1/6 + 3/6 = 4/6
SIMPLIFIED IS = 2/3
Step-by-step explanation:
what fraction of the Earth's surface would be covered by the surface of the moon,if the radius of the Earth is 6,378km and the radius of the moon is 1.741km?
Answer:
3031081 / 40678884
Step-by-step explanation:
To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is
4πr² = 4 * π * 6378²
and the radius of the moon is
4πr² = 4 * π * 1741²
To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have
(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)
cross out the 4 * π in the numerator and denominator
1741²/6378²
Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have
(1741²/6378²)/(6378²/6378²)
≈0.0745/1
≈ 0.0745
To put this in a fraction, we would have
(1741²/6378²)/1
= (1741²/6378²)
= 3031081 / 40678884
Consider the following expression
I think that the anwser is probably 10.6
The normal blood glucose level is between 70 mg/dL and 130 mg/dL. Write a compound inequality to represent the values at which blood glucose is not normal.
Let the input be x
x is greater than or equal to 70mg/dl.x is less than or equal to 130mg/dl.[tex]\\ \rm\Rrightarrow x\geqslant 70mg/dl[/tex]
[tex]\\ \rm\Rrightarrow x\leqslant 130mg/dl[/tex]
Now
[tex]\\ \rm\Rrightarrow 70mg/dl\leqslant x\leqslant 130mg/dl[/tex]
Or
[tex]\\ \rm\Rrightarrow 130mg/dl\geqslant x\geqslant 70mg/dl[/tex]
Answer:
70 ≤ x ≤ 130
130 ≥ x ≥ 70
Step-by-step explanation:
We know that a persons glucose level can only be equal to or between 70 and 130 mg/dL. We can create an inequality to represent this;
70 < x < 130
This means that anything in between will work but anything less or more will not. You can also write this inequality as 130 > x > 70.
In word form you would say this:
A humans glucose level can only be more than or equal to 70 and less than or equal to 130.Best of Luck!
Help Me quick my cousin needs to get this done I’ll give you 10 extra points for who ever picked the correct answer please and thank you!
A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)
Step-by-step explanation:➡️ [tex] \cos(x + 2x) [/tex]
➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]
➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]
➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]
➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]
Ben paid $86 for 40 gallons of gas. How much would $15 gallons cost?
Answer:
32.25
Step-by-step explanation:
For 40 gallons of gas = $86
For 1 gallon of gas = 86/40 = $2.15
For 15 gallons of gas = 15 x 2.15 = 32.25
the result of a multiplication of two or more
terms
Answer:
ProductStep-by-step explanation:
Product is the result of a multiplication of two or more terms.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Answer:
B=Product
C=polynominal
D=distirbutive property
Step-by-step explanation:
This is the only one I’m stuck onnn omg
What is the answer to this?
Answer:
18
Step-by-step explanation:
x+11=3x-25
36=2x
x=18
Supplementary angles are pairs of angles whose measures total 180º. Determine the measure of
supplementary to an angle with a measure of 92°
Hi there!
»»————- ★ ————-««
I believe your answer is:
88°
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
As mentioned in the question, supplementary angles add up to 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Setting Up An Equation...}}\\\\a + 92 = 180\\----------\\ a - \text{Unknown angle measure.}\\----------\\\rightarrow a + 92 - 92 = 180 - 92\\\\\rightarrow \boxed{ a = 88}[/tex]
⸻⸻⸻⸻
The unknown angle measurement should be 88°.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
(3 x 9) - (3 x 4) = ? x (9 - 4)
Answer:
15
Step-by-step explanation:
3×9 =27
3×4= 12
27-12= 15
:) hope it helps