Answer:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Step-by-step explanation:
Quadratic equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The equation is:
[tex]4x^2 - 10x + 5 = 0\\[/tex]
So:
a = 4
b = -10
c = 5
Plug the variables into the quadratic equation:
[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]
[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]
[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]
Divide both sides by 8:
10 ÷ 8 = [tex]\frac{5}{4}[/tex]
[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]
[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]
This means that the solutions that satisfy the equation is:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Hope this helps!
Help needed ASAP!!!!!!!
Answer: 4 is 110 degrees and 3 and 1 is 70 degrees.
Step-by-step explanation: 4 is equal to 2 so 4 is 110 degrees 4
110 x 2 = 220 360 - 220 = 140/2 = 70 so 3 and 1 = 70 degrees
The line passes the points (-6,2) and (3,-5)
Answer:
Slope-intercept form:
y = -7/9x - 8/3
The slope:
m = -7/9
Picture is of it graphed
The corporate team-building event will cost $72 if it has 36 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $92?
Someone help me I will mark you as brain
Answer:
- 1
Step-by-step explanation:
-3 (-3) -10
9 - 10 = -1
Where is the velocity positive?
х
C D
E
B
А
F G
A. B-E
B. C-D
C. A-C
D. B & E
Answer:
A-C
Step-by-step explanation:
Positive velocity means the graph is going up. Hope it helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
this is algebra 1 id appreciate it if you could help me thx!
Which of the following represents a function?
Answer:
B) Graph of an Absolute Value Function
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.
The given table in Option A) is not a function because there are two corresponding y-values for x = 3.
Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.
Option D is also not a function because the input value of 3 has two output values: -5 and 0.
Option B represents a function because each input value has exactly one corresponding output value. A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point. This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.
Answer:
The graph
Step-by-step explanation:
I got it right on plato
a shop only buys bananas with length between 13cm and 20cm. Estimate the fraction of the 80 bananas that the shop buys
Answer:
[tex]\frac{44}{80}[/tex]
Step-by-step explanation:
We know that the shop only buys Banana with lengths between 13 cm and 20 cm.
So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.
Notice that 13 below to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).
[tex]\frac{62-20}{80} =\frac{42}{80}[/tex]
Therefore the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.
Answer:
44/80
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST TO BEST ANSWER
Answer:
option D
[tex] {10x}^{2} + 3x - 8[/tex]
Answer:I would say A I found out 2X^2+-1 first
Step-by-step explanation:2x
2
+−1
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax
n
is nax
n−1
.
2×2x
2−1
Multiply 2 times 2.
4x
2−1
Subtract 1 from 2.
4x
1
For any term t, t
1
=t.
4x
Then I saw that 6-2 making 4 so I chose the first one
The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 900x − 40000, where x is the average number of tours he arranges per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $60,000?
between 200 and 250; exclusive
between 200 and 250; inclusive
less than 250
more than 200
Solving the quadratic function, it is found that the range is of:
between 200 and 250; inclusive
The profit for x tours is modeled by the following equation:
[tex]p(x) = -2x^2 + 900x - 40000[/tex]
It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:
[tex]60000 = -2x^2 + 900x - 40000[/tex]
[tex]2x^2 - 900x + 10000 = 0[/tex]
Simplifying by 2:
[tex]x^2 - 450x + 50000 = 0[/tex]
Which has [tex]a = 1, b = -450, c = 50000[/tex]
Then:
[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]
[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]
[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]
At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:
between 200 and 250; inclusive
A similar problem is given at https://brainly.com/question/25181401
mathematics
Solve k - 120= 768 Find the value of k
Answer:
[tex]k - 120 = 768[/tex]
add 120 to both sides of the equation
[tex]k - 120 + 120 = 768 + 120[/tex]
120 on the left hand side of the equation cancels therefore isolating the variable, k
[tex]k = 888[/tex]
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer:
3) parallel
4) y = -1/2x +5
Step-by-step explanation:
3) Two equations are parallel if they have the same slope
The equations are written in y=mx+b (standard) form, where m is the slope. Both equations have a slope of 5/4
4) The two points that are plotted are (0,5) and (4,3).
We can find the slope by using the slope equation
(3) - (5) / (4) - (0) = -2/4 = -1/2
then we can plug it in both points to find b
-1/2(4) = -2
-2 + b = 3
b = 3
Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.
Oy = 4x - 28
Oy = 4x + 28
Oy=-x-2
4
Oy=x+ 2
4
revious Question
just do b d f h and j
Answer:
b) 1.383
d) 2733
f) 41.429
h) 6317
j) 87.889
Step-by-step explanation:
The governor of Utah wants to know how long they have before the entire state is zombified. If there are 3.67 million people living in Utah (3,670,016 to be exact), how many days until the entire state is infected?
options:
19 days
2 years
11 days
52 days
Answer:
wait.
Step-by-step explanation:
what do u really mean by zombies
in need of desperate help, lol not super desperate, just confused, thanks so much!
Answer:
Step-by-step explanation:
The km/minute is different for segment, so "The train does not always go . . ."
Tha average speed in km/minute of the 3 points is 3.2km/min. 10 minutes would be 32km.
===
Divide the cost by the number of people. It is $7/person in each case. The cost for each person appears to be the same. If Sam knew more math, he could charge each person $10 and end the evening $3/person richer. He would need at least 3 people to cover his own expense, and have $2 left for a tip to the attentive waitress who approved his strategy for profiting from his math skills.
Helpppp plsssssssdssssssssss
Answer:
y = x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line
m = [tex]\frac{2-1}{-1-(-2)}[/tex] = [tex]\frac{1}{-1+2}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line
giải bài tập toán giúp tôi
Answer:
5x2 + 5x -1
Step-by-step explanation:
jus multiply 3x to 2x because there to the same power. it becomes a postive and you leave the rest.
Answer:
the first answer is right
please help me please
PlEaSe HeLp.
i'M VeRy CoNfUsEd.
Answer:
For first page I belive both of the answer are b. The second page I believe b and c
Step-by-step explanation:
Answer:
answers are a,b,a,d
Step-by-step explanation:
.The sum of the angles of a polygon is 900⁰ .How many sides does it have
Answer:
heptagon
Step-by-step explanation:
Please solve.. I will mark you brainliest
Step-by-step explanation:
6y=3y+6(congruent triangles)
6y-3y=6
3y = 6
y=2
ST =6(2) =12
TU = 3(2) + 6 =12
Which number produces a rational number when multiplied by 1/2
Step-by-step explanation:
all odd numbers
that should be the answer
A rectangle has dimensions x and x + 5. Determine the value of x that gives the rectangle an area of 36 cm^2.
a) 9
b) 4
c) 6
d) none of these
none of these i guess
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee thx
Answer:
Well, the answer is n= -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The graph of the equation 2x-3y = 7 is a line. If a point on this line has an x-coordinate of 10, what
is its y-coordinate?
Answer:
y = 13/3
Step-by-step explanation:
First input 10 as our x into the equation. So our new equation is 2(10) - 3y=7.
Once you simplify your equation would be 20 - 3y = 7. Subtract 20 from both sides. New equation is -3y = -13. Divide each side by -3. Your answer for y is 13/3.
Transpose for p
w = p + cg
Answer:
p = w - cg
Step-by-step explanation:
w = p + cg ( isolate p by subtracting cg from both sides )
w - cg = p
Which statement is true about 737
O A) It is a prime number
OB) It is a composite number,
OC) It is a whole number that is neither prime nor composite
OD) It is not a whole number,
Answer:
A) It is a prime numberStep-by-step explanation:
Option A, is true about 73
As it is a prime number because it has only two distinct divisors: 1 and itself (73)
I'm pretty sure it's B because 737 isn't a prime number but 73 is a prime number
Which are aspects covered by Bohr’s atomic model?
Electrons can have a measured radius.
Higher orbits have lower energies.
Electrons exist between orbits.
Electrons do not have energy, the energy is determined by the orbit.
The statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.
What is Bohr's atomic model?In the Bohr atomic model, electrons are grouped according to their energy levels. The energy level at which an electron is located determines its energy.
As we know,
The aspects covered by Bohr’s atomic model are:
Electrons can have a measured radius.Electrons do not have energy, the energy is determined by the orbit.Energy is absorbed by electrons as they transition from a lower to a higher energy state. The electron emits energy when it transitions from a higher to a lower energy level. Visible light is one way to view this energy.
Thus, the statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.
Learn more about Bohr's atomic model here:
https://brainly.com/question/16858921
#SPJ5
Answer: Electrons do not have energy, the energy is determined by the orbit." or A and b
Step-by-step explanation: The correct answer is, "Electrons do not have energy, the energy is determined by the orbit."
In the Bohr model of the atom, electrons are arranged in energy levels. The energy of an electron is determined by the energy level in which it is found.
When electron an the electron moves from a lower to a higher energy level it absorbs energy. When the electron moves from a higher to a lower energy level, it radiates energy. This energy is observed in the form of visible light.
Thus, in the Bohr's model, electrons are arranged in energy levels. The energy level where an electron is found determines its energy.
Simplify the expression. -17+[(8-3)-(-14-19)]=
Answer:
21
Step-by-step explanation:
trust (used a calculator)