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A student divided f(x) = 3x^3 + 8x^2+ 5x - 4 by x+ 2 and found the remainder was r= -6.Based on the remainder theorem, what can be concluded about f(x)?
A: The function f(x) = 3x^3 + 5x- 4 has a zero at -6.
B: The point (-2,-6) lies on the graph of f(x).
C: The y-intercept of the graph of f(x) is -6.
D: The function f(x) = 3x^3 + 8x^2 + 5x - 4 has a zero at -2.
Answer:
b
Step-by-step explanation:
Exponents are really not my thing but i am force to do it.
Answer:
1. False
2. True
3. False
Step-by-step explanation:
Which of the following rational functions is graphed below?
A. F(x) =1/(x-4)^2
B. F(X) =1/(x + 4)^2
C. F(X) = 1/4x^2
D. F(x) = 4/x^2
Answer to your question is B. f(x)= 1/(x+4)^2
The equation of the rational function is f(x) = 1/(x + 4)^2
How to determine the graph?From the figure, we have the following property:
Vertical asymptote at;
x = -4
Add 4 to both sides
x + 4 = 0
Square both sides
(x + 4)^2 = 0
The above means that the denominator of the equation of the graph is (x + 4)^2
So, we have:
f(x) = 1/(x + 4)^2
Hence, the equation of the rational function is f(x) = 1/(x + 4)^2
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which of the following is a proportion 4/6 =9/12, 6/9= 8/12, 8/10=6/8 , 3/4=12/15
Luisa is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 desserts, but she does not have time to cook. She can choose from 15 bottled drinks, 10 frozen appetizers, and 13 prepared desserts at the supermarket. How many different ways can Luisa pick the food and drinks to serve at the bridal shower
Answer:
Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
Also
The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Beverages:
3 from a set of 15. So
[tex]B = C_{15,3} = \frac{15!}{3!12!} = 455[/tex]
Appetizers:
3 from a set of 10. So
[tex]A = C_{10,3} = \frac{10!}{3!7!} = 120[/tex]
Desserts:
3 from a set of 13. So
[tex]D = C_{13,3} = \frac{13!}{3!10!} = 286[/tex]
How many different ways can Luisa pick the food and drinks to serve at the bridal shower?
By the fundamental counting principle, as beverages, appetizers and desserts are independent:
[tex]T = B*A*D = 455*120*286 = 15,615,600[/tex]
Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.
0.87 written as a fraction
Answer:
[tex] \frac{87}{100} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.
Hope it is helpful...Answer:
87/100
Step-by-step explanation:
If the graph of the following parabola is shifted one unit left and two units up,
what is the resulting equation in vertex form?
x² = 12y
Answer: (x+1)^2=12(y-2)
Step-by-step explanation:
what is the correct answer?
Answer:
5
Step-by-step explanation:
Answer:4.5
[um i cant relay see it but il do my best]
Choose the answer that represents the product below as a exponential
expression.
(-4).(-4).(-4).(-4).(-4).(-4)
A. (-4)^6
B. (-4)^4
C. 6•(-4)
D. (-6)^-4
Answer:
(-4) ^6
Step-by-step explanation:
(-4)*(-4)*(-4)*(-4)*(-4)*(-4)
There are six (-4)'s multiplied together
(-4) is the base and 6 is the exponent
(-4) ^6
Use the expression below to answer the question.
6n(19−8)÷3=22
In describing the expression, which term would not be used?
a.difference
c.product
b.sum
d.quotient
Answer:
b sum
Step-by-step explanation:
what units are used to calculate distance
Answer:
Step-by-step explanation:
Miles
Which relationship has a zero slope?
A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.
A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.
A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)
A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.
Mike forgot the last three digits of his friend's telephone number. He only remembers that the digits are not the same. What is the probability he dials the correct telephone number on the first try
Answer:
1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order of the digits is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
One correct number, so [tex]D = 1[/tex]
Total outcomes:
3 non-repeated digits, so permutations of 3 digits from a set of 10(all digits). So
[tex]T = P_{10,3} = \frac{10!}{7!} = 10*9*8 = 720[/tex]
What is the probability he dials the correct telephone number on the first try?
[tex]p = \frac{D}{T} = \frac{1}{720} = 0.0014[/tex]
1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.
please answer both questions thanks
Answer:
3. sin(43) = a/17
a = 17sin(43)
= 11.594
≈ 11.6
4. sin(35) = 6/b
b · sin(35) = 6
b = 6/sin(35)
= 10.46
Match each pair of equations with the property that justifies why they are equivalent.
Not all properties will be used.
9514 1404 393
Answer:
subtractionmultiplicationcombine like termsStep-by-step explanation:
The properties of equality say the value of the variable does not change if the same function is performed on both sides of the equal sign.
a) 4x +7 = 19 ⇒ 4x = 12
The value -7 was added to both sides. Equivalently, 7 was subtracted from both sides. The Subtraction Property of Equality was used.
__
b) 2x/3 = 8 ⇒ 2x = 24
Both sides were multiplied by 3. The Multiplication Property of Equality was used.
__
c) 5x -6 +2x = 22 ⇒ 7x -6 = 22
Terms 5x and 2x were combined and written as 7x. We call this Combine Like Terms.
Which of these would be the opposite of a progressive tax?
Answer:
b
Step-by-step explanation:
Pleaseee helpppp!!! 20 points
Answer:
The correct option is (A).
Step-by-step explanation:
The given expression is :
[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]
The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².
We can write it as :
[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]
Canceling the common terms,
[tex]=\dfrac{2y^4}{x^4}[/tex]
So, the correct option is (A).
Which of the following is the correct graph of a linear equation below Y +3 equals -2/3 times X -4
Answer:
Where are the graphs?
Step-by-step explanation:
Ordinary least squares estimation is subject to heterogeneity bias if _____. 答案选项组 the regression model exhibits heteroskedasticty the unobserved effect is correlated with the observed explanatory variables the regression model includes a lagged dependent variable the explanatory variables do not change over time
Answer:
Unobserved effect.
Step-by-step explanation:
The unobserved effect of heterogeneity is correlated with the observed explanatory variables. Population heterogeneity is bias in unobserved pre treatment factors which affect the outcome even without treatment.
How many real equations does 8-4x=o have ?
Answer:1 real solution
Step-by-step explanation:
Classify the triangle by its angles and sides.
acute isosceles
acute scalene
equiangular equilateral
obtuse isosceles
Answer:
equiangular equilateral
all sides are equal
y adjusted for wind chill (in degrees Fahrenheit, give
formula:
y=-26 + 1.3x
Estimate the actual temperature if the temperature
Fahrenheit.
Answer:
The actual temperature is: -6.92
Step-by-step explanation:
Given
[tex]y = -26 + 1.3x[/tex]
Required
Find x when [tex]y = -35[/tex]
Substitute [tex]y = -35[/tex] in [tex]y = -26 + 1.3x[/tex]
[tex]-35 = -26 + 1.3x[/tex]
Collect like terms
[tex]1.3x = 26 - 35[/tex]
[tex]1.3x = -9[/tex]
Solve for x
[tex]x =-9/1.3[/tex]
[tex]x =-6.92[/tex]
all the angles of polygon of 30 sides are equal what is the measure of each angle
Answer:
(30-2)*180 calculate and get ur answer
Complete the function table. i really need help please
Answer:
Here ya go
Step-by-step explanation:
Find the distance between the pair of points: (2,6) and (0,−3).
Answer:
d = √85
Step-by-step explanation:
d^2 = (X2 - X1)^2 + (Y2 - Y1)^2
= (2 - 0)^2 + (6 + 3)^2
= 4 + 81
d = √85
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.
Answer:
x=3 and x=-2 is the root of given eq
Answer:
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?
x = –2 or x = 3 is the answer
Step-by-step explanation:
The proportion of all high school students who watch national news is p = 0.47. A random sample of 50 high school students is selected. Which of the following is the mean of the sampling distribution of p hat ? Mu Subscript p hat = p = 0.47 Mu Subscript p hat = n p = 50 (0.47) = 23.5 Mu Subscript p hat = 1 minus p = 1 minus 0.47 =0.53 Mu Subscript p hat = n (1 minus p) = 50 (1 minus 0.47) = 26.5
The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p = 50 (0.47) = 23.5
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The proportion of all high school students who watch national news is p = 0.47.
And, A random sample of 50 high school students is selected.
Hence, By definition we get;
The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p
= 50 (0.47)
= 23.5
Thus, The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p = 50 (0.47) = 23.5
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simplify 5x+(2x-y)- 4y)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\text{5x + (2x - y) - 4}[/tex]
[tex]\huge\text{= 5x + 2x - y - 4y}[/tex]
[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{(5x + 2x) + (-y - 4y)}[/tex]
[tex]\huge\text{5x + 2x = \boxed{\bf 7x}}[/tex]
[tex]\huge\text{-y - 4y = \boxed{\bf -5y}}[/tex]
[tex]\boxed{\huge\text{= \bf 7x - 5y}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \text{\bf 7x - 5y}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\longrightarrow{\blue{ 7x - 5y }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]5x + (2x - y) - 4y[/tex]
➼ [tex] \: 5x + 2x - y - 4y[/tex]
➼ [tex] \: 7x - 5y[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Abby went to the store to buy ice cream for her party. Each box costs $3. She has a coupon for 20% off her total. If Abby buys 3 boxes, what will she pay after using the coupon?
Answer: 7.2$
hope it helps :)
step-by-step explanation:
Cost of each box = 3$
Cost of 3 boxes without 20% coupon = 9$
With 20% off Coupon = 9 by 100 multiplied by 20
(the zero's cut with each other leaving)
= 9 by 10 multiplied by 2
(9 multiplied by 2 = 18)
= 18 by 10
(18 divided by 10 = 1.8)
= the 20% of 9$ is equal to 1.8
when subtracted with the total cost leaves 7.2$
A salesman with an annual base salary of $35,000 gets a 5% commission on the first $600,000
in sales, a 7% commission on the next $300,000, and 8% on sales above $900,000. What would
be his total compensation for the year if he sold $1 million of product?
Answer:
11%
I think im sorry if im wrong
Step-by-step explanation: