Answer:
two solutionsx = 1, 3
Explanation:
[tex]\sf f(x)=x^2-4x+3[/tex]
[tex]\rightarrow \sf x^2-4x+3=0[/tex]
[tex]\rightarrow \sf x^2-3x-x+3=0[/tex]
[tex]\rightarrow \sf x(x-3)-1(x-3)=0[/tex]
[tex]\rightarrow \sf (x-1)(x-3)=0[/tex]
[tex]\rightarrow \sf x-1=0, \ x-3=0[/tex]
[tex]\rightarrow \sf x=1, \ x=3[/tex]
Thus, there are two solutions and the values are 1 and 3
Let's see
[tex]\\ \rm\rightarrowtail f(x)=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-4x+3=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-3x-x+3=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-3)-1(x-3)=0[/tex]
[tex]\\ \rm\rightarrowtail (x-1)(x-3)=0[/tex]
[tex]\\ \rm\rightarrowtail x=1,3[/tex]
is 56/72 and 7/9 proportional
Answer:
Yes. They are proportional.
Step-by-step explanation:
[tex]\frac{56}{72} =\frac{7}{9}[/tex]
[tex]0.777=0.777[/tex]
The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.
True
15x + 50y = _____ (3x + 10y)
Answer:
15x + 50y = 5 (3x + 10y)
5 is a common factor
15/3x = 3x
50/5y = 10y
the answer is 5
[tex] \huge \mathbb \orange{HEY \: THERE}[/tex]
[tex] \mathfrak \red{AnSwEr~}[/tex]
5 is the common factor.[tex] \mathfrak \red{Explaination}[/tex]
[tex] \mathsf \pink{15x + 50y = 5(3x + 10y)}[/tex]
[tex] \mathsf \pink{5 \: is \: multiplied \: with \: both \: 3x \: and \: 10y}[/tex]
[tex] \huge \mathbb \orange{HOPE \: IT \: HELPS}[/tex]
Hi! Please help. (Geometry Btw)
Answer:
It is C
Step-by-step explanation:
Reflection in X axis
Reflecting over the x axis, the x values remain the same and the y values become opposite.
answer: c. (X,y) becomes (x,-y)
bro no one is helping??
Answer:
A-6 , B-19 , C-55 , D-119 , E-70
Step-by-step explanation:
Subtract 68 from 138 to find out how many 8th graders in total, and that will get you blank E.
Subtract 64 from 70 (E) to find out blank A.
Add 6 and 13 get the total for TV, blank B.
To get blank C, you need to subtract 13 from 68.
For the last blank, blank D, you need to add 55 (blank C) and 64, which will give you 119.
4x + y = 10
7x + 2y = 17
Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
✿————✦————✿————✦————✿
:
=
=−
✿————✦————✿————✦————✿
:
* , . .
* ℂ - .
* .
* .
* / − +.
* − / + / , +=.
* - / + /
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* -/ -
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✿————✦————✿————✦————✿
pa brainliest kung ayaw, edi wag** char
What is the following product?
30. 10
2.110
3.10
4./10
10/5
Step-by-step explanation:
300220302/5=0.42Hope it helps you
Find the area of the trapezoid
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=2\\ a=3\\ b=9 \end{cases}\implies A=\cfrac{2(3+9)}{2}\implies A=12[/tex]
What is the value of the y-intercept of the graph f(x)=138⋅1.9x?
Answer:
Step-by-step explanation:
The y-intercept is the point where the graph cuts the y axis - that is when x = 0.
f(x)=138⋅1.9x
ehen x = 0 f(x) = 0 so the y-intercept is at (0, 0).
9 markers cost $7. 50. How much would 7 markers cost
Answer:
5.83
Step-by-step explanation:
9 / 7.50 = 0.833(repeating)
8.33(repeating) * 7 = 5.833(repeating)
Simplify 5.833(repeating)
Answer:
5.83
Step-by-step explanation:
7. (a) A line has the equation y = 6x – 3 and goes through the point (4, a).
Calculate the value of a.
[tex]a = 6(4) - 3 = 24 - 3 = 21[/tex]
Given the equation 47=38+n, tell which value is a solution from the solution set n={7, 9, 11, 13}
First, let's solve this equation by subtract 38 from both sides:-
[tex]\bigstar[/tex] 47-38=n
hence, the answer is:-
9=n
or
[tex]\bigstar{\underline{\boxed{\pmb{n=9}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Which is the pattern for factoring the sum of cubes
Answer:
a³ +b³ = (a +b)(a² -ab +b²)
Step-by-step explanation:
The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.
a³ -b³ = (a -b)(a² +ab +b²)
a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes
Solve for e:2e-13+8=135
Answer:
e = 70
Step-by-step explanation:
2e - 13 + 8 = 135
2e - 5 = 135
2e = 135 + 5
2e = 140
divide both sides by 2
e = 70
Please help me with complement or supplement of an angles.
Answer: 101 degrees
Step-by-step explanation:
Nine wolves, eight female and one male, are to be released into the wild three at a time. If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways.
The first group of three wolves can be formed in 28 ways.
We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.
What is the meaning of combination?
A combination is a combination of n things taken k at a time without repetition.
We need to choose 1 male wolf out of 1 wolf male. So we can choose one wolf as
[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]
We can choose 1 male wolf in only 1 way.
Since the female wolfs are identical that means order doesn't matter, so we will use combinations.
We can choose 2 female wolves out of 8 as
[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]
Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.
We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.
Number of ways farming first group of three wolves
1(28)=28
Therefore, the first group of three wolves can be formed in 28 ways
To learn more about the combination visit:
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A scale says that it's readings are accurate to within 1%, meaning that when an object
is weighed using that scale, the reading will have an error of at most 1%.
Gillian puts a math textbook on a scale, and the scale reads 1,999.8 grams. What is
the difference between the maximum and minimum possible values for the textbook's
actual weight?
Answer:
Step-by-step explanation:
well, 1% of 1999.8=19.998, so it would be + - 1,999.99
2. Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term.
Answer: a6=70
Step-by-step explanation:
we know that
In the Arithmetic Sequence the formula is:
an= a1 + d(n−1)
where
a1 is the first term
d is the common difference
n is the number of terms
in this problem
a1=5
a2=18
a3=31
a4=44
a5=57
so
d=a2-a1 or a3-a2 or a4-a3 or a5-a4
d=57-44----> 13
find a6
a6= a1 + d(n−1)
n=6
d=13
a1=5
a6=5+13*(6-1)----> a6=5+13*5----> a6=70
Answer:
A1=5;an=an-1+13. The next term is 70Pls help!!
Question:
The polynomial f (x) = ax2 + bx + c has zeros 4 and 5, and f (−1) = 60. Evaluate a, b and c.
a = 2, b = -18, c = 40
Step-by-step explanation:[tex]Given:\ Polynomial\ f(x)=ax^2+bx+c\ has\ zoroes\ 4\ aud\ 5[/tex]
[tex]and\ f(-1)=60[/tex]
[tex]Tofind:\ a,\ b,\ c[/tex]
[tex]Solution:\ As\ 4\ and\ 5\ are\ zeroes\ so\ f(4)=f(5)=0[/tex]
[tex]f(4)=a(4)^2+b(4)+c=0\Rightarrow16a+4b+c=0-(1)[/tex]
[tex]f(5)=a(5)^2+b(5)+c=0\Rightarrow25a+5b+c=0[/tex]
[tex]f(-1)=a(-1)^2+b(-1)+c=60\Rightarrowa-b+c=60-(3)[/tex]
[tex]subtracting\ (1)\ from\ (2)[/tex]
[tex]25a+5b+c-(16a+4b+c)=0\Rightarrow9a+b=0\Rightarrowb=-9a[/tex]
[tex]subtracting\ (3)\ from(2):[/tex]
[tex]25a+5b+c-(a-b+c)=0-60\Rightarrow24a+6b=-60[/tex]
[tex]putting\ b=-9a[/tex]
[tex]24a+6(-9a)=-60\Rightarrow24a-54a=-60\Rightarrow-30a=-60[/tex]
[tex]a=\frac{-60}{-30}=2[/tex] [tex]\Rightarrow[/tex] [tex]a=2[/tex]
[tex]b=-9a=-9\times2=-18[/tex]
[tex]c=-a+b\neq60=-2-18+60=-20+60=40[/tex]
I hope this helps you
:)
ILL GIVE BRAINIEST
I’ll give brainiest A marble has a radius of 2 cm. About how many marbles will it take to fill a cylindrical jar with a diameter of 16 cm and a height of 20 cm? (Volume of a sphere =
4
3
r
3
π
4
3
r
3
π
)
A.
40 marbles
B.
80 marbles
C.
120 marbles
D.
240 marbles
Answer:
120 marbles
Step-by-step explanation:
we can find the answer by dividing the volume of the cylinder by the volume of the marble.
V of a cylinder is
pi×r^2×h = 1280pi
V of marble is
4/3 × pi × r^3
V is 32/3 pi
so final answer is 1280pi ÷ (32/3 × pi)
ANSWER IS 120 MARBLES
If QR=x+29 and PS=x–16, what is the value of x?
Answer:
61
Step-by-step explanation:
PS is a midsegment of the triangle, so is half the length of the parallel base segment.
2PS = QR
2(x -16) = x +29 . . . . . substitute given expressions
2x -32 = x +29 . . . . . eliminate parentheses
x = 61 . . . . . . . . . . . . add 32-x
heheheheheheehehehehehehhee
Answer:
4 blocks
Step-by-step explanation:
Given f(x)=x^3+9x+k, and x-1 is a factor of f(x), then what is the value of k?
Answer:
r:
The function is
The remainder when f(x) is divided by x−2 is 23.
To find:The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get
Put x=2, to find the value of f(2).Therefore, the value of k is 8.
Step-by-step explanation:
Please help me with this math problem!! Will give brainliest!! NO links please!! Thanks! :) (Please draw a picture)
Answer:
0.64
Step-by-step explanation:
Given the sides of a triangle, we can solve for any angle using the Law of Cosines: [tex]a^2=b^2+c^2-2bc(cosA)[/tex]
Our variables:
a = 27
b = 36
c = 45
B = 90°
[tex]a^2=b^2+c^2-2bc(cosA)[/tex]
[tex](27)^2=(36)^2+(45)^2-2(36)(45)(cosA)[/tex]
[tex]720=1296+2025-3240(cosA)[/tex]
[tex]720-3321=-3240(cosA)[/tex]
[tex]-2601=-3240(cosA)[/tex]
[tex]\frac{2601}{3240} =cosA[/tex] ≈ [tex]0.80278[/tex]
[tex]cos^-(A)=cos^-(\frac{2601}{3240})[/tex]
[tex]< A = 0.63885708[/tex]
This might be wrong, but you get the method. I would repost for a better answer from someone else because I'm practically half asleep. Very sorry but I hope you get some help soon! Best of luck
10. Jacinto Corado rented a minivan for 4 days in Tampa, Florida, for
$88.00 a day plus $0.20 a mile for all miles over 200. He drove 75, 120,
85, and 140 miles on the days rented. He paid a CDW fee of $18.50 per
day and $61.83 for gasoline.
Answer:
$531.83
Step-by-step explanation:
88*4=352
75+120+85+140=420. Take away the 200 he was allowed. Leaves 220
220*.20 =44
18.50*4=74
gas is set at 61.83
Sum each of those.
352+44+74+61.83= $531.83
What is the measure of < L
Answer:
C.
Step-by-step explanation:
Because of the K And j = K and L.Those are equal of the length.
And also, I believed the angel of K is 130 degrees ...
I hope it can help you a lots...Thanks.
Answer:
C
Step-by-step explanation:
typical property of isoceles triangle
properties:
1.- Base angles are equal
2. has two sides equal
☆the two above are key to identifying an isoceles triangle
the one above satisfies no.2
brainliest please
You woke up at 9:00 am 5 hours later still doing school work then you took a nap for 2 hours what time was it is when you woke up
how do i use a model to tell whether the fractions are equivalent? numbers: 1/2 and 5/10 grade 4
Answer:
ok so 5/10ths is also 3/6ths or 2/4ths or 1/2
Step-by-step explanation:
What is the displacement current between the plates if the separation of the plates is r and they have an area of a?
A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.
What is displacement current?Your information is incomplete. Therefore, an overview of the displacement current will be given.
A displacement current simply defines the terms of the rate of change of the electric displacement field.
It's the current due to the changing of the electric field that is inside the plate of the capacitor.
Learn more about displacement on:
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32 The area of a parallelogram is (32 + sqrt(2)) square feetIf the length of the base is (4 + sqrt(2)) feet, find the height of the parallelogram in simplest radical form
The height of the parallelogram that has an area of (32 + √2) ft² and base of (4+√2) ft is 9(7 + 2√2) / 7 ft
How to calculate area of a parallelogram?area of parallelogram = bh
where
b = baseh = heightTherefore,
area = (32 + √2) ft²
base = (4+√2) ft
Therefore,
area of a parallelogram = bh
(32 + √2) = (4+√2)h
divide both sides by (4+√2)
h = (32 + √2) / (4+√2)
h = (32 + √2) / (4+√2) × (4-√2) / (4-√2)
h = (32 + √2) (4-√2) / 16 - 4√2 + 4√2 - 2
h = 128 + 32√2 + 4√2 - 2 / 14
h = 126 + 36√2 / 14 ft
h = 18(7 + 2√2) / 14 ft
h = 9(7 + 2√2) / 7 ft
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The picture shows 3/8 of Puja's penny collection.
*nine pennies*
A. What fraction of her collection is 6 pennies?
B. What fraction of her collection is 21 pennies?
The fraction of her collection that is 21pennies is 56
Ratio and proportionsGiven the fraction for Puja's collection expressed as 3/8
Leet x be the fraction of her collection which is 6 pennies, to have;
x of 3/8 = 6
3x/8 = 6
3x = 48
x = 16
Hence the fraction of her collection that is 6pennies is 16
Let y be the fraction of her collection which is 21 pennies, to have;
x of 3/8 = 21
3x/8 = 21
x = 56
Hence the fraction of her collection that is 21pennies is 56
Learn more on ratio and proportions here: https://brainly.com/question/19994681