Answers
Answer:
h(2) = 7/4
h(-3) = -2
h(-2) = 11/(-8)
h(-3) - h(-2) = -(5/8)
Step-by-step explanation:
h(x) = (2x^2-x+1) / (3x-2)
h(2) = (2*2^2 - 2 + 1) / (3*2 - 2)
= (8 - 2 + 1) / (6 - 2)
= 7/4
h(-3) = {2*(-3)^2 - (-3) + 1} / {3*(-3) - 2}
= (18 + 3 + 1) / (-9 - 2)
= 22/(-11)
= -2
h(-2) = {2*(-2)^2 - (-2) + 1} / {3*(-2) - 2}
= (8 + 2 + 1) / (-6 - 2)
= 11/(-8)
h(-3) - h(-2) = (-2) - {11/(-8)}
= -(5/8)
Hope this will help. Please give me brainliest.
[tex]h(3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]
[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]
[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]
[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]
[tex]h(2) = \frac{ 8 - 1}{4} [/tex]
[tex]h(2) = \frac{7}{4}[/tex]
[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]
[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]
[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\=-2 + \frac{11}{ 8} \\ =- \frac{5}{ 8} [/tex]
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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hope it helps :)
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Answer:
Step-by-step explanation:
Miles
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Answer:
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Hope it is helpful...Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given
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Required
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NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at math.
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
The mean of the sampling distribution of p hat is,
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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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Answers
Answer:
5
Step-by-step explanation:
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[um i cant relay see it but il do my best]
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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The order of the digits is important, which means that the permutations formula is used to solve this question.
Permutations formula:
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Answers
Answer:
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Step-by-step explanation:
Choose the answer that represents the product below as a exponential
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Answers
Answer:
(-4) ^6
Step-by-step explanation:
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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).
Answers
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.
Which of the following rational functions is graphed below?
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B. F(X) =1/(x + 4)^2
C. F(X) = 1/4x^2
D. F(x) = 4/x^2
Answers
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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Match each pair of equations with the property that justifies why they are equivalent.
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Answers
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.
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
Answers
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.