Answer:
[tex]x=\frac{1+ \sqrt{47}i}{8}[/tex] and [tex]x=\frac{1 -\sqrt{47}i}{8}[/tex]
Step-by-step explanation:
Given quadratic equation is [tex]4x^2-x+3=0[/tex].
Compare with [tex]ax^2+bx+c=0[/tex], we get:
a=4, b=-1, c=3
Now plug these values into quadratic formula :
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-\left(-1\right) \pm \sqrt{\left(-1\right)^2-4\left(4\right)\left(3\right)}}{2\left(4\right)}[/tex]
[tex]x=\frac{1 \pm \sqrt{1-48}}{8}[/tex]
[tex]x=\frac{1 \pm \sqrt{-47}}{8}[/tex]
[tex]x=\frac{1 \pm \sqrt{47}i}{8}[/tex]
Hence final answer is
[tex]x=\frac{1+ \sqrt{47}i}{8}[/tex] and [tex]x=\frac{1 -\sqrt{47}i}{8}[/tex]
Answer:
Solution of given quadratic equation,
x = [1 + 6.86i]/8 or x = [1 - 6.86i]/8
Step-by-step explanation:
Points to remember
Solution of a quadratic equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
It is given a quadratic equation, 4x²-x+3=0
To find the solution using quadratic formula
Here a = 4, b = -1 and c = 3
We have,
x = [-b ± √(b² - 4ac)]/2a
x = [--1 ± √((-1)² - 4*4*3)]/2*4
= [1 ± √(1 - 48)]/8
= [1 ± √(-47)]/8
= [1 ± 6.86i]/8
x = [1 + 6.86i]/8 or
x = [1 - 6.86i]/8
Jeremy finished 3/5 of his homework what prevent of his homework did he finish
Answer:
60 percent.
Step-by-step explanation:
How do I find the value of x?
If we know that the angle on the left is 80° we know that the angle on the right is also 80°
We can subtract these from 360° and we are left with 200°
Since all four of the remaining angles are congruent we can divide our remaining 200° by 4
When you do that you get 50, meaning each remaining angle is 50°
Making x=50°
Hope this helped!
Answer:
x = 50
Step-by-step explanation:
There are no guarantees that the question can be answered unless the lines meeting at the intersection point are staight lines. You have to assume that to be true.
The angles making up the line starting at the lower right and going up to the upper left are
80 +x + x = 180 80 and one of the two xs are vertically opposite.
80 + 2x = 180 Subtract 80 from both sides.
80-80+2x=180-80 Subtract
2x = 100 Divide by 2
2x/2 =100/2
x = 50
Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?
Answer:
To find the solutions to the system of equations we need to graph the following equations:
y = 8 - 4x (Red line)
y = 2x - 4 (Blue line)
The point of interception, is the solution to the system of equations.
By looking at the graph attached, you can see that the point of itersection is at (2,0)
Answer:
both lines intercept at (2,0) which would be the second graph (B)
Step-by-step explanation:
Two similar triangles are shown. Triangle RST was , then dilated, to create triangle ZXY. plzzzzzz
Answer: Translated (Option C)
Step-by-step explanation:
Two similar triangles RST was then dilated, to create triangle ZXY.
For dilation, translation should be done.
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
As, ΔRST was dilated to form ΔZXY.
But, this can be done by translation , to create ΔZXY
The following information:
Since Triangle ΔZXY is slightly higher and to the right of triangle ΔRST.
So it should be translated.
so, that it could be dilated for ΔZXY.
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If m
Answer choices are -
Which property is shown
Reflexive
Substitution
Symmetric
Transitive
Answer: symmetric or reflexive
Step-by-step explanation:
I'm not forsure but I believe that these are the two options bc the other two aren't forsure sorry dude I'm trying :0
State the domain of this relation
Answer:
Step-by-step explanation:
The domain of this relation includes one each of the various x-values: {4, 5, 6, 8}; do not included 4 twice.
The domain is the x’s
What’s this answer to this problem
Answer:
Radius is 13 and Circumferences is 81.64
Step-by-step explanation:
You divide 26 by two to get the radius and multiply 2 time pi times the radius or pi times diameter to get the circumference.
Answer:
radius=13
Circumference=26pi
Area=169pi
Step-by-step explanation:
The radius is half the diameter (SP or PR or PQ). The radius is 13
Area= pi(r)^2
r=radius
r=13
pi(13)^2=169pi
circumference=2pi(r)=(pi)d
r=radius
d=diameter
2(pi)13=26pi
In the figure below, mEHB = (4x-2) and m AHK = 48. What is the value of x?
12.5° or 13° depends how your teacher wants the answer. 4x-2 = 48
4x = 50
X = 12.5°
From the diagram, since[tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex] are supplementary angles, we have [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]
Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex] Solving for x, we get [tex]$x = \boxed{33.5}$.[/tex]
From the diagram, we see that angles [tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex] are supplementary angles.
Therefore, we have the equation [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]
Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex]
Simplifying both sides of the equation, we get [tex]4x-2 + 48 = 180$.[/tex]
Subtracting 46 from both sides of the equation, we get [tex]4x = 134$.[/tex]
Dividing both sides of the equation by 4, we get
[tex]x = \boxed{33.5}$.[/tex]
For similar question on supplementary angles.
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Which expression is equivalent to 8c+6-3c-2
A.5c+4
B.5c+8
C.11c+4
D.11c+8
Answer:D
Step-by-step explanation:
You subtract 8-3 which is 11c and then you add 2 to 6 which is 8
Answer:
5c+5, A
Step-by-step explanation:
This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.
The Graph Of y=x^3 is transformed as shown in the graph below. Which equation represents the transformation function? HELP PLZ
ANSWER
[tex]y = {( - x)}^{3} - 4[/tex]
EXPLANATION
The parent or base function is
[tex]y = {x}^{3} [/tex]
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
[tex]y = {x}^{3} - k[/tex]
where k=4.
The function is also reflected in the x-axis.
The new function is
[tex]y = {( - x)}^{3} - 4[/tex]
The new function is
a) [tex]y = {( - x)}^(3) - 4[/tex]
The parent or base function is
[tex]y = {x}^(3)[/tex]
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
[tex]y = {x}^(3) - k[/tex]
where k=4.
The function is also reflected in the x-axis.
The new function is
a) [tex]y = {( - x)}^(3) - 4[/tex]
Find the area of the parallelogram. A. 14 square units. B. 48 square units.
C. 24 square units. D. 28 square units
Answer:
B
Step-by-step explanation:
The area of a parallelogram is base times height.
The height has to be perpendicular to the base, so the base (if you count) is 6 units, and the height is 8 units.
8x6=48 square units
Which translation shifts the graph of f(x)=3x+3 onto g(x)=3x-3
Answer:
vertical translation of - 6
Step-by-step explanation:
given f(x) = 3x + 3
then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift of c units up ↑
• If c < 0 then a shift of c units down
shift from + 3 to - 3 is a vertical shift of 6 units down
What is the x-coordinate of the point of intersection for these two lines?
9x + 2y = 16
x - 2y = 4
a.) 1
b.) -1
c.) 2
d.) -2
You need to use substitution, to do so, you isolate one of the variables x or y in one equation, and then you substitute that equation into the other.
Since you only need to find x, isolate the y in one of the equations
x - 2y = 4
y = [tex]\frac{x}{2} -2[/tex]
Plug this in and simplify
9x + 2y = 16
9x + 2([tex]\frac{x}{2} -2[/tex]) = 16 Distribute the 2
9x + x - 4 = 16
10x = 20
x = 2 Your answer is C
What is the length
of HJ expressed in terms of pie?
im not sure but pie is 3.14
Students at Sugar land middle school were asked what their favorite sport was. The table below shows the results of the survey. If you select a student at random, what is the probability that you were select a boy who chose a football as his favorite sport?
Answer:
Step-by-step explanation:
HELP ASAP PLEASE!!!!!
The net of a triangular prism is composed of____triangles and ____ rectangles
A triangular prism is a prism composed of two triangular bases and three rectangular sides
Is the graph one to one? Math 3!!! Help needed !!
Answer:
Yes, there exists one output for every input
Step-by-step explanation:
* Lets revise how to test the function is one-one function
- Draw a horizontal line (parallel to x-axis) and moved it up and down
- If the horizontal line cut the graph in more than one point, then
the function is not one-one function
- If the horizontal line cut the graph in only one point, then the
function is one-one function
- That means one output for every input
* Now lets look to the graph
- If we draw a horizontal line and moved it up and down, the line
will cut the graph in just one point
- That means every x has different value of y
∴ There is no same y-coordinate for two x-coordinates
* Yes, there exists one output for every input
You have to solve this . Calculate the diameter of a human red blood cell is 0.000006 m. Write the diameter in scientific notation
Answer:
6 x 10 to the -6 power
Step-by-step explanation:
Moved the decimal to the right 6, since less than 0 its negative
Which point does NOT lie on the graph of the line 4x + 2y = 8?
A. (0, 4)
B. (3, -2)
C. (4, -4)
D. (-2, 4)
Like last time, we substitute in each one until we find one we see can't work, or just look at them and choose the one that doesn't look right.
D in this case doesn't look right, so we can substitute it in:
-8+8=8
That isn't true, that equation would equal 0.
Hope I helped (again), sorry if I'm wrong!
~Mschmindy
D. (-2,4) is the answer?
I'll make you brainliest
Just need the answer
Area of that picutre of a quadrilateral
The area is 10 :) hope that helps
Edit:
Reason:
(a+b)/2 * h is the formula plug in the numbers and you get:
(4+6)/2 * 2
10/2 * 2
5 * 2
= 10 feet.
please help!!! asap! ( 10 points)
Answer:
a. true: 3 false: -5
b. true: 9 false: 2
c. true: 1/3 false: 1
d. true: 2 false: 3
I hope this helps!
what are Prime numbers?
Answer:
Prime numbers are whole numbers that multiply itself by 1 and they cannot be multiplied by other numbers.
Some examples of prime numbers would be: 1, 2, 3, 5, 7...
What are the slope and the y-intercept of the line shown in the graph
The y-intercept is the y value when x = 0, or (0 , y)
Based on the graph, your y-intercept is at (0 , 2) or 2
The slope(m) can be found using the slope formula and plugging in 2 points:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
But if you look at the answer choices, if the slope is positive, the line would be going up and to the right
If the slope is negative, the line would be going down and to the right
your answer is A
which graph shows the solution to the inequality
|x+3| ≥ 2?
Answer:
2nd number line
Step-by-step explanation:
When there is an absolute value inequality of the form |x+a| ≥ b,
We can say that the solution set (in a number line) would be:
we take the point x = -athen we go b units in both directions (left and right)start from those 2 points and draw arrows in both directions (left & right)Keeping these points in mind,
|x+3| ≥ 2
we start from x = -3
we go 2 units left and right, so we arrive at x = -5 and x = -1
then we draw arrows to both sides
looking at the choices, we see 2nd answer choices (graph) portrays it correctly.
Answer:
b
Step-by-step explanation:
In order to solve by completing the square, what value needs to be added to
both sides of the equation: x2 + 8x = 17? (A.8A, RC 4, RS)
A 64
B 32
C 17
D 16
can someone please explain?
Answer:
16
Step-by-step explanation:
To find the term needed, use the binomial formula.
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Let 8x = 2ab, a is by default x, which leaves us with:
8x = 2xb
8 = 2b
b = 4
And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.
[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]
Solve for x.
−2 = 3/9x
Answer:
-6
Step-by-step explanation:
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In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m., you had served it all and had to make another pot. At this rate, how many cups would you serve per hour?
Answer:
36 cups
Step-by-step explanation:
every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36
The cups would you serve per hour is 36.
We have given that,
In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m.
What is the one hour?one hour contains a 60 inutes
That is the 1 hour=60 minutes.
Every 20 minutes you make 12 cups.
20×3=60, which is 1 hour.
You will need to make 3 pots of coffee that are 12 cups each
3×12=36
Therefore, the cups would you serve per hour is 36.
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Use the distributive property to complete the following statement 4(x-1)=4x-___
A. 4
B. –4
C. –1
D. 1
Answer:
A. 4
Step-by-step explanation:
4*x-4*1=4x-4
Please help me with geometry.
Parallel lines have the same slope so the equation will have the same slope. The y-coordinate is the new y-intercept, so the equation is y = 3x + 8
Hope this helps
Answer:
y = 3x + 5
Step-by-step explanation:
Line y = 3x - 8; slope = 3
Parallel lines, slope is the same so slope of the line that parallel to the line y = 3x - 8 is also 3
Passing thru (1,8)
y - 8 = 3(x - 1)
y - 8 = 3x - 3
y = 3x + 5
Answer:
y = 3x + 5
a cup is 6.4 cm tall, not including the 0.6 cm lip. cups are stacked inside one another. select the function that represents the height of the stack of cups in terms of the number of cups in the stack
Answer:
c=20
Step-by-step explanation:
H(c)=6.4+0.6c
6.4 is the constant
when the height of the cups is 18.4 the function is:
18.4=6.4+0.6c
then you subtract 6.4 from both side to get:
18.4 - 6.4=6.4 + 0.6c - 6.4
12=0.6c
c= 12/.6
c=20
plzzz mark brainiest
Answer:
The number of cups in the stack is 20. I hope this helps!!