1.8.3 practice - functions
11. Find f(2) and f(a+h) when f(x) = 3x^2 + 2x + 4.
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Related Questions
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five and one third plus five ninths
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Answer: The answer is 8/9
Step-by-step explanation:
Answer:
53/9 or 5 and 8/9
Step-by-step explanation:
5 1/3 + 5/9
we can convert 5 1/3 to a fraction by multiplying 5 times the denominator and adding 1 (the numerator) to it. we get
16/3
we now need to get common denominators. the least common denominators is 9, so we multiply 16/3 by 3/3 and we get:
48/9
now we can add the two:
48/9 + 5/9 = 53/9 or 5 and 8/9
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
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Can someone put an answer for each box plzzzz.
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Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)
Group of answer choices
8 and 1 over 2 ÷ 1 over 4
8 and 1 over 2⋅ 1 over 4
8 and 1 over 2 + 1 over 4
8 and 1 over 2 − 1 over 4
Flag question: Question 4
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Answer:
(a) 8 1/2 ÷ 1/4
Step-by-step explanation:
Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).
miles = (1/4)n
If Katie jogged 8 1/2 miles, then we have ...
8 1/2 = (1/4)n
We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:
(8 1/2) ÷ (1/4) = n
_____
Additional comment
If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.
[tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]
If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)
As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.
How do the expressions 5h2−3g and 3(g+h)h compare when g = 10 and h = 3?
Drag a symbol into the box to correctly complete the statement.
5h2−3g Response area 3(g+h)h when g = 10 and h = 3.
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Answer:
the answer is >
Step-by-step explanation:
I took the test
what is (12x2)-(45/5)
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Answer:
[tex](12 \times 2) - \left(\dfrac{45}5 \right) =24 -9 = 15[/tex]
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
(12 × 2) - (45 / 5) ← evaluate parenthesis
= 24 - 9
= 15
In triangle GHI, m H is 20 more than
m G, and m G is 8 more than m I.
What is the measure of each angle?
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H =20
G = 8 mor than I
the measure of H is 28 because it says that g is 8 more so that means I can be 0 and that means G is 8 and then H is 20. therefore solving your answer
On the first three tests, Jhon scored 72 points. On the next test, he got a higher score. On the
third test, his score was 1 more than on the second. His average on the three tests was 83.
What were his grades on the second and third tests?
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Answer:
Second test=88
Third test=89 Hope this helps please mark brainliest it helps a lot! Thanks!
Step-by-step explanation:
According to the question, here we got to know that John scored 72 points in the first test
In the second he scored higher than the 1st test
In the third he scored 1 mark more than the second test
His average in the three tests was 83
So,
Let's the marks scored in the 2nd test be x
Hence, in the third test he got x + 1
Average is 83
[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]
if I move up 8 and then move down 8 where am I located?
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Answer:
you are back in your place.
Step-by-step explanation:
The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ
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Answer:
x + 8
Step-by-step explanation:
Expanding the equation
-4(x-2)+5x = -4(x-2)+5x
= -4x+8+5x
= -4x+5x + 8
= x+8
Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames
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Answer:
36:27
Step-by-step explanation:
18 - 3 = 15$ for each picture frame
15$ (picture frames) : 18$ (albums)
4 picture frames : 3 albums = 114$
1026 divided by 114 = 9
4x9 = 36 picture frames
3x9 = 27 albums
36:27
Answer:
Marie bought 36 frames and 27 albums
Step-by-step explanation:
So is an album is $18 and a picture frame is $3 less that would make picture frames $15. Now if the ratio of picture frames to albums was 4:3 and she paid a total of $1026 for all, the equation would look like this:
15f + 18a = 1026
Now add in the ratio
(15 + 15 + 15 + 15 + 18 + 18 + 18)x = 1026
114x = 1026
x = 9
Now this means the ratio fit 9 times into the end number
Picture Frames: 4 x 9 = 36
Albums: 3 x 9 = 27
And to check we plug back in
15(36) + 18(27) = 1026
540 + 486 = 1026
1026 = 1026
Does the equation Y equals 2X +3 represent a proportional relationship
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Plug in 0 for x
Y = 2(0) + 3
Y = 3, therefore the point (0,0) cannot work because there’s a y- intercept.
Proportional means you will start at the point of origin (0,0) but this case, that is not possible.
Not proportional
Mr. Hinkle baked a pie for Thanksgiving. He cut the pie into 6 piece. He and 2 of his friends each at one slice. What percent of the pie did they eat? *
30%
60%
50%
20%
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Answer:
30%
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?
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Answer:
4 + 4 + 32 = 40 rows
Step-by-step explanation:
The student government snack shop sold 64 snacks this week. 8 of the snacks sold were fruit cups. What percentage of all snacks sold were fruit cups?
Rewrite the equation as a division equation.
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Answer:
8/64 = 0.125 = 12.5%
Step-by-step explanation:
8/64 = 0.125 = 12.5%
A recipe asks for 4 1/2 pounds of chicken.
How many pounds of chicken are needed to make 1/2 of a recipe?
Express the answer in simplest form.
Enter the answer in the box.
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Answer:
2/1/2 you need 2and 1/2 of chicken
explain how the model represents 5/ 1third
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Here is ur perfect answer
At Sidney's Hats, 84% of the 50 hats are baseball caps. How many baseball caps are there?
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Answer:
thats what i said
Step-by-step explanation:
Since 84% = 84/100 , and 50 is 1/2 of 100 we can think of 84% of 50 being half of the value of 84% of 100. So 84/2 = 42
There are other ways of solving such as multiplying 50 by 0.84, however I believe that how I solved it was the easiest way for this specific problem :)
1 32 multiplied by 0.32 when rounded to the nearest hundredths
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Answer:
42.20
Step-by-step explanation:
132 ×0.32
=42.24
rounded off it give 42.20
Which of the following best describes a ratio?
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Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option
A. A comparison of two numbers
A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8
Learn more on ratios:
https://brainly.com/question/2328454
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
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Answer:
You told me to resolve this question
Distributive property to simplify 6(8) + 6(-2)
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Answer:
36
Step-by-step explanation:
You would multiply 6x8+6x(-2), and that would equal 48+(-12) which is basically 48-12 = 36.
PLEASE HELP WILL MARK BRAINEST
If I || m, find the values of x and y.
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Answer:
x = 8, y = 89/9
Step-by-step explanation:
Because of parallel lines, some angles are the same, see the attached image. That also means that (12x-28) + (9y-77) = 180 because they are half of an angle. So:
(12x-28) + (9y-77) = 180 ->
12x + 9y = 185.
Then,
(7x+12) = (12x-28) ->
x = 8.
We can plug that into the last equation:
12(8) + 9y = 185 ->
y = 89/9
:)
(03.02 MC) The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. (The figure is not drawn to scale.) A 6 mi 2 mi 00 B С Which of the following choices is closest to the distance (in miles) between points A and B?
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9514 1404 393
Answer:
(b) 5.66 mi
Step-by-step explanation:
You only need to eliminate the unreasonable answers to make the correct choice.
The hypotenuse of the right triangle is its longest side, so the unknown length must be less than 6. That eliminates the last two choices.
The unknown length cannot be less than the difference of the sides shown, so the unknown length must be more than 4. That eliminates the first choice.
The only reasonable choice is ...
B. 5.66 miles
_____
If you like, you can calculate the distance using the Pythagorean theorem.
AB² + 2² = 6²
AB = √(36 -4) = √32 ≈ 5.66 . . . miles
Calculator
(4y + 10°
What is the value of y?
Enter your answer in the box.
759
(3x)
B
y =
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Answer:
y = 5
Step-by-step explanation:
The base angles of this isosceles triangle are congruent, so the angle at A is ...
A = 180° -2(75°) = 30°
(4y +10)° = 30° . . . . . substitute the given expression for angle A
4y = 20 . . . . . . . . . . divide by °, subtract 10
y = 5 . . . . . . . . . divide by 4
_____
Additional comment
The value of x is 25.
x is found from 3x=75, by dividing both sides of this equation by 3.
Which statement is true in the question below?
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Answer:B
Step-by-step explanation:
How do you write as an expression of inequality, then solve it?
Twice a number is more than the sum of that number and 8
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Answer:
2x > x + 8
x > 8
Step-by-step explanation:
(Twice a number) (is more than) (the sum of that number and 8)
2x > x + 8
2x > x + 8
Subtract x from both sides
x > 8
To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.
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Answer:
option d
Step-by-step explanation:
Your should have attached the equation for answer to be explained
1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?
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Answer:
2:1 or 2
Step-by-step explanation:
*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".
>> therefore 10/5 can be simplified to 2/1 )***
For every 10 notebooks, there are 5 ballpens.
Therefore, for every 2 notebooks there is 1 ballpen (The simplification).
EXTRA:
**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.
2/1 is not the same as 1/2 **