Answer:
D. Division: (x² - 5x + 3) ÷ (x-5) = x + 3/(x - 5)
Step-by-step explanation:
Polynomials are closed under subtraction and multiplication because any subtraction or multiplication of polynomials gives as result another polynomial.
As can be seen in option D, polynomials aren't closed under division because not every division between polynomials gives as result another polynomial.
Find the missing side to the triangle in the attached image.
x = 14
Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse. Thus, 48^2 + x^2 = 50^2. Thus, 2304 + x^2 = 2500. Thus, x^2 = 196. Thus, x = 14
Hope it helps <3
PLSSS HELP State the maximum number of turns the graph of each function could make 1. f(x)=x^5-3x+1 2.f(x)=-x^7-7x^5-4x^3
Answer:
max for 5th-degree: 4 turns. This function: 2 turns.max for 7th-degree: 6 turns. This function: 0 turns.Step-by-step explanation:
In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.
__
1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.
__
2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.
Use your calculator to find the value of each trig function below. Round to the tenth place.
Answer: 0.7
Step-by-step explanation: use calculator XD
The value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.
Given that, sin 24°, cos 45° and tan 88°.
We need to find the value of the trig function.
What are the six trigonometric functions?The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent.
Now, sin 24°=0.4067≈0.4
cos 45°= 0.70710≈0.7
tan 88°=28.63625≈28.6
Therefore, the value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.
To learn more about the trigonometric functions visit:
https://brainly.com/question/6904750.
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Jim leaves the gym running 5 mph. Ten minutes later Bob leaves the gym on his bike traveling at a speed of 8 mph. how long will it be before he overtakes Jim?
Answer:
26 2/3 minutes: The two boys meet after 26 2/3 minutes
Step-by-step explanation:
Distance covered by Jim = Distance covered by Bob
(5 mph)(t) = (8 mph)(t - 10)
Simplify this by performing the indicated multiplication:
(5 mph)(t) = (8 mph)(t) - 80 mi
or:
80 mi = (3 mph)(t), or
80 mi
t = ----------- = 26 2/3 minutes
3 mph
translate the following into an expression Two less than 50% of x
Answer:
2<x/2
x/2 means 50 percent of x
Mr. Davis bought 2 chairs during the sale. The regular price of each chair was $168. What was the total price, in dollars, for both chairs during the sale, not including tax?
Answer:
tatol price= $335.16
Step-by-step explanation:
regular price for one item= $168
sale=1/2 %
168 × 0.5/100 = 0.84 (discount)
price of discounted chair= 168-0.86
= 167.16
168+167.16 = $335.16
Can you please say if the point will be on the line?
Answer:
The point will be on the line.
Step-by-step explanation:
Salma's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Salma $5.40 per pound, and type B coffee costs $4.30 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $434 . How many pounds of type A coffee were used?
Answer:
x=31
Step-by-step explanation:
Easiest using two variables.
a for type A
b for type B
Part of the description says symbolically .
Total blend quantity was but the value for this quantity of blend not given. Information is given to account for cost of the blend.
Question asks, find the value of a.
b=2a
-
substitute into cost equation.
5.40(x)+4.30(2x)=434
x=31
Hope this helps!
Find the value of the logarithm.
log 210
Round your answer to the nearest thousandth.
Answer:
5.347
Step-by-step explanation:
5.3471075307175.
Answer:
Your correct answer is 5.347
Father has two apples, three pears, and two oranges. Every morning, during one week, he gives one fruit to his son for breakfast. How many ways are there to do this?
Answer:
210
Step-by-step explanation:
Since the condition does not state an opposite, I should assume that the apples are not distinguishable, same as the pears and the oranges.
So we have permutations of 7 fruits with 2 indistinguishable apples, 3 indistinguishable pears and 2 indistinguishable oranges.
The number of distinguishable arrangements is
7 1x2x3x4x5x6x7
--------- ---------------------- = 210
2x3x2 2x6x2
Answer. There are 210 ways to do it.
Find the missing segment in the attached image
Answer:
? = 78
Step-by-step explanation:
Use similar triangles.
26/12 = (26 + ?)/48
13/6 = (26 + ?)/48
6(26 + ?) = 13 * 48
156 + 6? = 624
6? = 468
? = 78
Answer:
The missing segment is equal to 78
Step-by-step explanation:
Using the similarity of triangles:
[tex]x=?[/tex]
[tex]$\frac{x+26}{48}=\frac{26}{12} $[/tex]
[tex]12(x+26)=48 \cdot 26[/tex]
[tex]12x+312=1248[/tex]
[tex]12x+312=1248[/tex]
[tex]12x=936[/tex]
[tex]x=78[/tex]
Find y Please explain step by step
Answer:
We can prove that ΔTVU ≅ ΔTXW because of SAS (TU = TV = TW = TX because they are all radii and all radii of the same circle are congruent, ∠UTV = ∠WTX, that is given). Because of this, UV = XW due to CPCTC so we can write:
2y - 3 = y + 4
y = 7
Solve for x x-xy=z Hint: reverse distribution to get x alone
Work Shown:
x - xy = z
x*1 - x*y = z
x*(1 - y) = z .... distributive rule in reverse
x = z/(1-y) ..... divide both sides by (1-y)
The distributive rule is a*(b+c) = a*b+a*c. You can also say a*(b-c) = a*b-a*c. In this case, we factored out the common factor x.
6(q − 76) = 48 q = _____
━━━━━━━☆☆━━━━━━━
▹ Answer
q = 84
▹ Step-by-Step Explanation
6(q - 76) = 48
q - 76 = 8
q = 8 + 76
q = 84
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Your answer to this equation is 84. q = 84
Step-by-step explanation:
6(q - 76) = 48
First, take q and subtract it:
q - 76 = 8
Next, do this:
q = 8 + 76
Therefore, q = 84
Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors to a zoo. A graph titled Temperature versus Zoo Visitors has Degrees Fahrenheit on the x-axis, and Visitors on the y-axis. Points are at (70, 100), (77, 96), (90, 75), (93, 73), (98, 60). Which is true regarding the data in his scatterplot? As the temperature increases, the number of visitors decreases. As the temperature increases, the number of visitors increases. As the temperature increases, the number of visitors remains the same. As the temperature increases, the number of visitors increases then decreases.
Answer:
A
Step-by-step explanation:
it right on edge
Answer:
A.
Step-by-step explanation:
Did the unit test in edge and got 100
Which function increases at the fastest rate between x = 0 and x = 8? A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18. A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258. A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130. A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Answer:
2x² + 2
Step-by-step explanation:
Because it's exponential it should rise the fastest. I hope this is right and helps!
Answer:
The answer is C (2x² + 2)
Step-by-step explanation:
I just took this test and got it right
Hopefully this helps you :)
pls mark brainlest ;)
Determine the domain and range of this set of ordered pairs.
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
O A. Domain = (-3,-1,0,4,6,7), range = (-5,2,4,6,8,9}
O B. Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
O C. Domain = {-5,2,8,9), range = (-3,-1,0,4,6,7)
D. Domain = (-5,2,4,6,8,9}, range = {-3,-1,0,7}
Answer:
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Step-by-step explanation:
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
The domain is the input and the range is the output
domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}
We put the numbers in order from smallest to largest
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Answer:
377 choices
Step-by-step explanation:
The following values were given in the question:
The restaurant offered
6 choices of appetizer
8 choices of main meal
5 choices of dessert.
We are also told in the question that the customer can choose to eat just one course, or two different courses, or all three courses.
Let us represent each choice by :
A = Appetizer = 6
B = Main meal = 8
C = Dessert = 5
a) The 3 choices together
ABC=6 × 8 × 5=240 choices
b) AB= Appetizer and Main meal
= 6 × 8 = 48 choices
c) AC= Appetizer and Dessert
= 6 × 5 = 30 choices
d) BC = Main meal × Dessert
= 8 × 5 = 40 choices
e) A,B,C = the customer having each of the choices only
Appetizer + Main meal + Dessert
= 6 + 8 + 5
= 19 choices
The number of possible meals is calculated as:
240 choices + 48 choices + 30 choices + 40 choices + 19 choices
= 377 choices
I need help ASAP for this question
Answer:
ans is d
hope it helps
mark as brianliest
PLZ HELP here are three triangles shown separately, these triangles are similar. How do you know?
Answer:
Using the AA similarity postulate, you can determine that these triangles are similar.
Step-by-step explanation:
All three triangles are right triangles, so they all have 90° angles.
Angle B is present in the large and small triangle. Therefore, you know those 2 triangles are similar. You can also prove that angles A and C are the same.
A and B are complementary angles in the large triangle and the same with B and C in the small one. Since B ≅ B by Reflexive Property, A and C must have the same angle measurement since they are complements of the same angle.
Answer: Becasue the AA similarity Postulate
Step-by-step explanation:
Laura’s overall monthly living expenses are $1,600. How much money does she have at the end of the month to put into savings?
Step-by-step explanation:
The question has missing details nevertheless we can make head way with the information on ground.
Given that Laura's overall monthly living expenses are $1,600
in order to calculate her savings for the month we need to know her income for the month, that is the overall sum she has at hand before incurring any expenses(this is the missing detail).
Say this overall amount is "x"
her saving for the month = [tex](x- 1600)[/tex]
Which expression represents the algebraic phrase “twelve times the sum of a number and seven-tenths”? 12 y + StartFraction 7 over 10 EndFraction 12 (y + StartFraction 7 over 10 EndFraction) StartFraction 7 over 10 EndFraction y + 12 y (StartFraction 7 over 10 EndFraction + 12)
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat. Which of the following could be the equation of F(x)
Answer:
Option (A)
Step-by-step explanation:
Parent function of the function graphed is,
G(x) = x²
Graph shows the vertex of the given parabola is at (3, 3).
Vertex form of a parabola is,
F(x) = a(x - h)² + k
where (h, k) is the vertex.
By substituting the coordinates of the vertex in the equation,
F(x) = a(x - 3)² + 3
Since the given parabola is opening upwards, value of 'a' will be positive.
So the equation will be,
F(x) = 2(x - 3)² + 3
Therefore, from the given options, equation given in Option (A) matches the answer.
Answer:
A is the correct answer.
Step-by-step explanation:
What is the equation of the line that passes
through(-2, 4) and has a slope of 2/5?
Answer:
y=2/5x+4.8
Step-by-step explanation:
Proof
Jordan said 60% of 150 people is 80 people. His work is shown below. Is his answer correct? Explain why or why not.60% of 150 = 10% + 50% = 5 + 75 = 80
Answer:
No, see below.
Step-by-step explanation:
10% of 150 is .1 times 150= 15
15+75=90
So, Jordan is incorrect.
State how many imaginary and real zeros the function has.
f(x) = x4 + 12 x3 + 37x2 + 12x + 36
Answer:
Step-by-step explanation:
If you'd graph this function on a graphing calculator or graphing utility, you'd see quickly that the graph never touches or crosses the x-axis. This tells us immediately that there are no real roots; all four roots are complex or imaginary.
Answer:
2 real roots and 2 imaginary roots
Step-by-step explanation:
The roots are x=i,-i,-6,-6.
helpp!!! thank how would you do this i got -6 is that correct
Answer:
-2
Step-by-step explanation:
hello
output means that you have to check in the f(x) column
the answer is -2
hope this helps
A polygon is shown: A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units. The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is ___ square units
i think its 2
Answer:
The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units.
Step-by-step explanation:
We are given that a polygon MNOPQR is shown. The top vertex on the left is labeled M, and the rest of the vertices are labeled clockwise starting from the top-left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ.
The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.
Firstly, we will draw a perpendicular line from point O which meets the line RQ at point T. Now, the polygon MNOPQR is divided into two rectangles MNTR and OPQT.
As we know that the area of the rectangle = [tex]\text{Length of rectangle} \times \text{Breadth of rectangle}[/tex]
In the rectangle MNTR, the length (MN) = 5 units and the breadth (MR) = 3 units.
So, the area of the rectangle MNTR = [tex]\text{Length (MN)} \times \text{Breadth (MR)}[/tex]
= [tex]5 \times 3[/tex] = 15 square units
Now, as we know that in rectangle MNTR, the side NT = 3 units and the side NO is labeled as 2 units. This means that the side OT = NT - NO = 3 units - 2 units = 1 unit
Similarly, the side QR is labeled as 7 units and the side RT is labeled as 5 units. This means that the side TQ = QR - RT = 7 - 5 = 2 units
Now, in the rectangle OPQT, the length (TQ) = 2 unit and the breadth (OT) = 2 units.
So, the area of the rectangle OPTQ = [tex]\text{Length (TQ)} \times \text{Breadth (OT)}[/tex]
= [tex]2 \times 1[/tex] = 2 square units
Hence, the area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is _2_ square units.
Answer:
7
Step-by-step explanation:
Which is not a function?
(HELP ASAP!)
Write and solve an equation using the descriptions below.
Ten less than the quotient of a number and 3 is 6.
Seven plus the quotient of a number and 5 is -12.
Eight times the difference of a number and 3 is 40.
The difference of twice a number and 7 is 9.
Answer:
Step-by-step explanation:
1) Let the number be x
Quotient of a number & 3 : x/3
Ten less than the quotient of a number : (x/3) -10
[tex]\frac{x}{3}-10=6[/tex]
Add 10 to both sides
[tex]\frac{x}{3}-10+10=6+10\\\\\frac{x}{3}=16[/tex]
Multiply both sides by 3
[tex]\frac{x}{3}*3=16*3\\\\x=48[/tex]
2) Let the number be x
Quotient of a number & 5 : x/5
Seven plus the quotient of a number : (x/5)+7
[tex]\frac{x}{5}+7=-12\\[/tex]
Subtract 7 form both sides
[tex]\frac{x}{5}+7-7=-12-7\\\\ \frac{x}{5}=-19\\[/tex]
Multiply both sides by 5
x = -19*5
x = -95
3) Let the number be x
Difference of a number and 3 : x - 3
Eight time the difference of a number & 3: 8*(x-3)
8*(x - 3 ) = 40
Divide both sides by 8
[tex]\frac{8*(x-3)}{8}=\frac{40}{8}[/tex]
x - 3 = 5
Add 3 to both sides
x - 3 +3 = 5 +3
x = 8
4) Let x be the number
Twice a number : 2x
The difference of twice a number and 7: 2x - 7
2x - 7 = 9
Add 7 to both sides
2x - 7 + 7 = 9 + 7
2x = 16
Divide both sides by 2
2x/2 = 16/2
x = 8