Answer:
f(x) = 2x² - 7x + 3
Step-by-step explanation:
Given the roots are x = [tex]\frac{1}{2}[/tex] and x = 3, then the corresponding factors are
(x - [tex]\frac{1}{2}[/tex] ) and (x - 3), that is
(2x - 1) and (x - 3)
The equation is then the product of the roots, that is
f(x) = (2x - 1)(x - 3) ← expand factors using FOIL
f(x) = 2x² - 7x + 3 ← in standard form
Let g(x) = 9x + 24
find g(3)
Let g(x)=9x+24, find g(3).
Answer:
51
Step-by-step explanation:
Plug in 3 as x into the function:
g(x) = 9x + 24
g(3) = 9(3) + 24
g(3) = 27 + 24
g(3) = 51
g(x) = 9x + 24
g(3) = 9(3) + 24
g(3) = 27 + 24 = 51
Answer:g(3) = 51
Find the binomial distribution for flipping a coin 3 times, where "heads" is a success. P(k successes) = nCk pk(1 – p)n – k P(0 successes) = 3C0(0.5)0(0.5)3
Answer:
0.125, 0.375, 0.375, 0.125
Step-by-step explanation:
For a binomial distribution :
nCk * p^k * (1 – p)^(n – k)
P(0 successes) = 0 head, k = 0
n = 3 = number of flips
P(success) = 0.5
3C0 * 0.5^0 * 0.5^3
1 * 0.5^0 * 0.5^3 = 0.125
P( 1 success) = 1 head, k = 1
n = 3 = number of flips
P(success) = 0.5
3C1 * 0.5^1 * 0.5^2
3 * 0.5^1 * 0.5^2 = 0.375
P(2 successes) = 2 head, k = 2
n = 3 = number of flips
P(success) = 0.5
3C2 * 0.5^2 * 0.5^1
3 * 0.5^2 * 0.5^1 = 0.375
P(3 successes) = 3 head, k = 3
n = 3 = number of flips
P(success) = 0.5
3C3 * 0.5^3 * 0.5^0
1 * 0.5^3 * 0.5^0 = 0.125
Answer:
0.125, 0.375, 0.375, 0.125
second part is 0.5
Step-by-step explanation:
Allison is making treat bags for Valentine's Day. She uses 7 sheets of stickers
and 3 bags of candy for every 8 friends. If Allison is making 14 treat bags, how
many sheets of stickers will she use? How many bags of candy?
The number of sheets of stickers is 12.25, and the number of bags of candy is 5.25 she will use.
What is the ratio?It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign: between the numbers.
Allison uses 7 sheets of stickers and 3 bags of candy for every 8 friends.
It means the ratio of the sticker to candy bags:
7:3 for 8 friends
[tex]\frac{7}{8} :\frac{3}{8}[/tex] for 1 friend or
0.875:0.375
If she makes 14 treat bags then:
The number of sheets of stickers she will use = 0.875×14 ⇒ 12.25
The number of bags of candy she will use = 0.375×14 ⇒ 5.25
Thus, the number of sheets of stickers is 12.25, and the number of bags of candy is 5.25 she will use.
Learn more about the ratio here:
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66 erasers cost \$6.60$6.60dollar sign, 6, point, 60.
Which equation would help determine the cost of 333 erasers?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{3}{x} = \dfrac{\$6.60}{6}
x
3
=
6
$6.60
start fraction, 3, divided by, x, end fraction, equals, start fraction, dollar sign, 6, point, 60, divided by, 6, end fraction
(Choice B)
B
\dfrac{3}{6} = \dfrac{\$6.60}{x}
6
3
=
x
$6.60
start fraction, 3, divided by, 6, end fraction, equals, start fraction, dollar sign, 6, point, 60, divided by, x, end fraction
(Choice C)
C
\dfrac{x}{3} = \dfrac{6}{\$6.60}
3
x
=
$6.60
6
start fraction, x, divided by, 3, end fraction, equals, start fraction, 6, divided by, dollar sign, 6, point, 60, end fraction
(Choice D)
D
\dfrac{x}{3} = \dfrac{\$6.60}{6}
3
x
=
6
$6.60
start fraction, x, divided by, 3, end fraction, equals, start fraction, dollar sign, 6, point, 60, divided by, 6, end fraction
(Choice E)
E
None of the above
HURRY YOU WILL GET 100 POINTS FOR ANSWERING THIS FAST AND THE BRAINLIEST
Answer:
Answer
3.0/5
8
hannahl52
Expert
1.4K answers
1.2M people helped
This is how you would determine the equation and solve the problem:
- First, it is important that you find how much each eraser cost. You do know that 66 erasers cost $6.60. So create an equation.
- The equation would be: 66/6.60
which means each eraser was 10 cents each
- Now you can create a equation that would determine the cost of 333 erasers since you know how much each eraser actually cost. The equation would be:
- .10×333=?
To create that equation all you need to do is multiply the price of the erasers (10 cents) by how many erasers you are buying (333).
Answer:
E
None of the above
Step-by-step explanation:
Debbie cut a cord into sixths. She used five of the pieces to make necklaces. She used equal lengths of the remaining cord for each of four bracelets. What fraction of the original cord did Debbie use
Answer:
1/24
Step-by-step explanation:
Debbie cut a cord into 6 places and use five pieces to make a necklace.
i.e.
5/6 was used to make a necklace and we have 1/6 remaining cord.
However, the remaining cord was used for each of the four bracelets.
i.e.
(1/6) ÷ 4
(1/6) *(1/4) = 1/24
Thus, the fraction of the original cord that Debbie used to make this bracelets = 1/24
(PLEASE HURRY WILLL GIVE 20 POINTS) number line going from negative 10 to positive 1. Use the horizontal number line shown to answer the question. Which statements are true? Check all that apply. –9 –3 0 < –3
Answer:
-9
Step-by-step explanation:
Answer:
a and c
Step-by-step explanation:
PLEASE HELP IM TIMED:
Which scatterplot shows the weakest positive linear association?
On a graph, points are grouped closely together and increase.
On a graph, points are grouped closely together to form a line and increase.
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together to form a line and decrease.
Answer:
C
Step-by-step explanation:
Consider w=sqrrt2/2(cos(225°) + isin(225°)) and z = 1(cos(60°) + isin(60°)). What is w+ z expressed in rectangular form?
Answer:
Option (3)
Step-by-step explanation:
w = [tex]\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)][/tex]
Since, cos(225) = cos(180 + 45)
= -cos(45) [Since, cos(180 + θ) = -cosθ]
= -[tex]\frac{\sqrt{2}}{2}[/tex]
sin(225) = sin(180 + 45)
= -sin(45)
= -[tex]\frac{\sqrt{2}}{2}[/tex]
Therefore, w = [tex]\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})][/tex]
= [tex]-\frac{2}{4}(1+i)[/tex]
= [tex]-\frac{1}{2}(1+i)[/tex]
z = 1[cos(60) + i(sin(60)]
= [tex][\frac{1}{2}+i(\frac{\sqrt{3}}{2})[/tex]
= [tex]\frac{1}{2}(1+i\sqrt{3})[/tex]
Now (w + z) = [tex]-\frac{1}{2}(1+i)+\frac{1}{2}(1+i\sqrt{3})[/tex]
= [tex]-\frac{1}{2}-\frac{i}{2}+\frac{1}{2}+i\frac{\sqrt{3}}{2}[/tex]
= [tex]\frac{(i\sqrt{3}-i)}{2}[/tex]
= [tex]\frac{(\sqrt{3}-1)i}{2}[/tex]
Therefore, Option (3) will be the correct option.
!!PLEASE HELP ME!!
Which pair of functions are inverses of each other?
A. f( x ) = 6/x − 5 and g ( x ) = x + 5 /6
B. f(x) = 8x – 3 and g ( x ) = x + 3/8
C. f ( x ) = sqr 3 7x and g ( x ) = ( x /7 )3
D. f ( x ) = x /9 + 1 2 g(x) = 9x – 12
The inverse of the function is f(x) = 8x – 3 and g ( x ) = x + 3/8. The correct option is B.
What is an inverse function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The inverse function of a function f in mathematics is a function that reverses the operation of f. If and only if f is bijective, then the inverse of f exists, and if it exists.
The inverse of the function is given by,
f(x) = 8x – 3 and g ( x ) = x + 3/8
The inverse of the function is calculated by dividing the function by the coefficient of x and reversing the sign of the function.
f(x) = 8x – 3
Divide the function by 8.
f(x) = ( 8x - 3 ) / 8
Reverse the sign of the function.
f(x) = ( 8x + 3 ) / 8
Simplify the function.
f(x) = ( x + 3 / 8 ).
Therefore, the inverse of the function is f(x) = 8x – 3 and g ( x ) = x + 3/8. The correct option is B.
To know more about function follow
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brain dead someone help
Answer:
cant see it
Step-by-step explanation:
can you flip it pls
Erin has 4 1/2 pounds of trail mix. She wants to make 3/4 pound bags of mix for snacks. How many bags can she make?
Answer:
6
Step-by-step explanation:
4 1/2 = 9/2=18/4
(18/4)/(3/4)=18/3=6
so she need 6 bags
∆GHI is an isosceles triangle with a vertex angle H
If the m∠H=80°, then find the m∠I.
Given :
∆GHI is an isosceles triangle with a vertex angle H.
m∠H=80°
To Find :
The m∠I.
Solution :
Since, H is the vertex angle.
So, m∠I = m∠G = x
We know, by angle sum property of triangle :
m∠I + m∠G + m∠H = 180°
2x + 80° = 180°
x = 50°
Therefore, m∠I = 50° .
Answer:
the answer is actually 75 degrees
Step-by-step explanation:
because i know okayyy ima math wiz u cant tell me noda honey
good job high five
2^3x X 2^2x = 2^8 Help me out
Answer:
[tex]\frac{8}{5}[/tex] or 1.6
Step-by-step explanation:
If this is the equation then the answer should be correct.
[tex]2^{3x}[/tex] x [tex]2^{2x}[/tex] = [tex]2^{8}[/tex]
3.a. Nikki buys 1 kg of oranges. She wants to choose the better discount. Which should she
choose and why should she choose it
Answer:
I'm pretty sure is the $0.40
Yumiko’s exercise data is shown. Use the trend line y = 8x + 8 to complete the sentence.
Answer:
the answer is 48
y=8x5+8
Find negative square root of 49. (4 points)
Group of answer choices
±7
7
−7
24.5
Answer:
I got negative 7 if that helps.
Step-by-step explanation:
Joseph spends 12 hours a day playing amoung us . If Joseph plays 13 games in two hours , how many games does he play in a day ? How many games does he play per hour ?
Answer:
2hours = 13 games 12 divided by 2
13
x 6
--------
78
joseph plays 78 matches of among us a day
Hi plz don't answer untill Froggy's answers
i like froggy :)))))))
i need help!!!!!!!!!
Answer:
Opt B
Step-by-step explanation:
3/4 plus 1/8
4 goes into 8 two times
1/8 stays the same
for 3/4 multiply the numerator and denominator by 2
6/8
What are two different ways you can represent a repeating decimal?
Answer:
A decimal number with a digit (or group of digits) that repeats forever. The part that repeats can also be shown by placing dots over the first and last digits of the repeating pattern, or by a line over the pattern. Also called a "Repeating Decimal"
Answer:
Putting a number that is repeating or put the a line on top .
Step-by-step explanation:
If a board 8 ¾ ft. long is cut into 7 equal parts, how long is each part?
Answer:
26 5/32 in. or 2 ft
Step-by-step explanation:
Since we are taking into account 1/8in for each saw cut the total length of the 4 pieces of wood will be 3/8in less than the single long piece (3 cuts * 1/8).
Let's first convert the piece of wood to inches:
8 3/4ft = 8.75ft
8.75 ft *(12in./1ft) => 8.75 *12= 105 inches
Now we can subtract the 3/8in that will be lost from making 3 cuts:
105in. - 3/8in. = 104 5/8in.
So the total length of the 4 pieces of wood will be 104 5/8in.
Therefore, each piece will be (104 5/8in)/4 in length.
First let's convert 104 5/8in. to an improper fraction to make it easier to work with:
104 5/8in. = (104*8 + 5)/8in.
=837/8in.
Now we can divide this by 4 to get the length of each piece of wood:
(837/8in.)/4 is the same as (837/8in.)*(1/4)
Multiply numerators together, and multiply the denominators together:
(837/8in.)*(1/4) = 837/32in.
Convert back to a mixed number if needed:
837/32in.= 26 5/32in. or 2ft, 2 5/32in.
what is the perimeter of a rhombus whose diagonals measure 42cm and 56cm?
Answer:
676
Step-by-step explanation:
d1×d2/2
42×56/2
1352/2=676
please check it by doing again
Answer:
1176
Step-by-step explanation:
=a half the product of its diagonals
=1/2(42x56)
=1176
Find the value of x.
120
Answer:
46 degrees
Step-by-step explanation:
if you look at it closely u can see that the 120 degrees is reflected to the opposite side so if the 120 degrees is reflected then the 46 degrees would be reflected too
is a number's distance from zero on a number line.
Answer:
The absolute value.
Step-by-step explanation:
Answer:
The absolute value
Step-by-step explanation:
The absolute value removes the negative sign and gives the distance from zero to the number
Please answer as fast as you can:
Which expression is equivalent to −3/4÷(−8/12)?
It would be really helpful if you answer.
Answer:
9/8 or 1.125
Step-by-step explanation:
i hope this helps :)
Describe how to use the Vertical Line Test and what it can tell us.
Answer: To use the Vertical Line Test, you draw a line parallel to the y-axis for any value of x and if the line intersects the curve graphed, then the curve is not a function. We use Vertical Line Tests to see if curves are functions.
Answer:
rrr
Step-by-step rrexplanation:
rrr
Kenny had a total of 140 minutes to read, do you homework, and play video games. He spent X minutes reading. He spent 2(X +5) minutes doing homework. He spent 25 minutes playing video games. How many times can you spin reading
sectionalizing formula of 2[tex]\sqrt{3}[/tex]
Answer:
[tex] \sqrt{3 \times 2 {?}^{2} } = \sqrt{12} = 3.46[/tex]
PLEASEE HELP ASAPPPP!
x9/x4
PLEASSEEEEEEEE
Answer:
x^5
Step-by-step explanation
If this is dividing exponents, you just subtract the denominator from the numerator.
Find the 18th term of the arithmetic sequence whose common difference is d = 2 and whose first term is a, = 3.
Answer:
The 18th term of the arithmetic sequence will be:
[tex]a_{18}=37[/tex]
Step-by-step explanation:
We know that the arithmetic sequence with a common difference 'd' and the first term 'a₁' is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Given the values
d = 2
a₁ = 3
As we have to determine the 18th term of the arithmetic sequence.
so putting n = 18 in the nth term to determine the 18th term.
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_{18}=3+\left(18-1\right)2[/tex]
[tex]=3+17\cdot \:2[/tex]
[tex]=3+34[/tex]
[tex]=37[/tex]
Therefore, the 18th term of the arithmetic sequence will be:
[tex]a_{18}=37[/tex]