Answer:
the answer to pt 1 is D. x=1.5 x=0 or x=6
and the answer to part 2 is C. x=1±I√29/5
Step-by-step explanation:
1. The solution of this equation is x = 0 or x = 6 which is option D.
2. The solution of this equation is [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex] which is option C.
Use the concept of quadratic equation defined as:
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.
The quadratic equation has the following generic form:
ax² + bx + c = 0
1. The given quadratic equation is,
3x = 0.5x²
Rearranging it,
0.5x² - 3x = 0
Common out x,
x(0.5x - 3) = o
Then we have,
x = 0 or,
0.5x - 3 = 0
Add 3 on both sides,
0.5x = 3
Divide both sides by 0.5,
x = 3/0.5
x = 6
Hence the solution of this quadratic equation is,
x = 0 and x = 6 which is option D.
2. The given quadratic equation is:
0 = 5x² - 2x + 6
It can be written as,
5x² - 2x + 6 = 0
Since we know the quadrature formula for ax² + bx + c = 0 is,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here we have,
a = 5
b = -2
c = 6
Substitute values into the formula,
[tex]x = \dfrac{2 \pm \sqrt{4 - 120}}{10}\\\\x = \dfrac{1 \pm i\sqrt{29}}{5} \text{ }\text{ \text{ }} \text{\text{ }\ since } \sqrt{-1} = i[/tex]
Hence, option C is correct.
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The complete question is:
Solve each of the quadratic equations.
PT. 1
3x = 0.5x²
A. x = -6 or x = 0
B. x = -4 or x = 3
C. x = -2 or x = 1.5
D. x = 0 or x = 6
PT.2
0 = 5x² - 2x + 6
A. [tex]x = \dfrac{1 \pm 3i}{5}[/tex]
B. [tex]x = \dfrac{1 \pm i\sqrt{11}}{5}[/tex]
C. [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex]
What in the cinnamon toast crunch is 2+ x= 1
Answer:
x = -1
Step-by-step explanation:
For the given equation, find the value of M when x=3. 2x+m=7
[tex]m = 1[/tex]
Step-by-step explanation:
[tex]2x + m = 7[/tex]
insert x=3 into the equation
[tex]2(3) + m = 7[/tex]
multiply
[tex]6 + m = 7[/tex]
subtract 6 on both sides
[tex]6 - 6 + m = 7 - 6[/tex]
[tex]m = 7 - 6[/tex]
simplify
[tex]m = 1[/tex]
Determine the mean of the following data. Choose the correct option.
7, 8, 9, 2, 4, 5, 12, 9
Answer:
7
Step-by-step explanation:
mean means average
there are 8 numbers
add them all up
7+8+9+2+4+5+12+9=56
divide 56 by 8 = 7
After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test?
Find the chi-square table here.
χ2 = 7.77, P-value is between 0.02 and 0.025
χ2 = 7.77, P-value is between 0.05 and 0.10
χ2 = 8.54, P-value is between 0.01 and 0.02
χ2 = 8.54, P-value is between 0.025 and 0.05
The value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
How to depict the hypothesis?It should be noted that hypothesis testing is done in order to get more information about a particular issue.
In this case, the value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
This illustrates that there's convincing evidence that the distribution of common opinion is note equally distributed across the three options.
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Write an equation of the line that passes through (3,1) and (0,10) .
Answer:
(1,1) and (0,1)
Step-by-step explanation:
i think thats it i dont know what it looks like i need a picture of it
. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you
purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?
Answer:
We need the picture of the line plot in order to answer the question
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
Answer:
Step-by-step explanation:
Y-intercept is -2.
Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.
Plugging into slope-intercept form:
y=mx+b => y=2x-2
please help me!!!!!!!
I'll do part 1 to get you started
================================================
Answers:
D) 90, 45, 45A) centroidB) vertex of right triangleB) 41C) 5^4*3^5================================================
Explanations:
In an isosceles triangle, the base angles are congruent. Let's call them x. When dealing with a right triangle, those bases angles are also complementary and they add to 90 degrees. This means x+x = 90 solves to x = 45. Therefore we have a 45-45-90 triangle.This is something to memorize. There's not much explanation I can think of. The altitudes intersect at the orthocenter. For a right triangle, the altitude for the base is the height, and vice versa. The base and height intersect at the vertex point that's the 90 degree angle.The number 41 is prime because the only factors are 1 and itself. Something like 81 is not prime because 3 is a factor. We consider 81 to be composite.Rewrite 5^4*3^5 as 5*(5^3*3^5) to see that 5^3*3^5 is a divisor or factor of 5^4*3^5 a farmer sold 1/4 of his 1500 flock of sheep. how many sheep dd he sell?
Answer:
375 sheep.
Step-by-step explanation:
To find 1/4 of 1500, you must divide the number by the denominator of the fraction.
1500 ÷ 4 = 375
Slope Equations
What is the equation of the line that passes through the point (0,-4) and has a slope of 5?
y = 5x – 4
y= - 4x – 5
y= -5x +4
y=2x - 4
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Solving the QuestionWe're given:
m = 5The line passes through the point (0,-4)Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.
On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.
The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.
Answery = 5x - 4
Callie stopped for lunch when she was shopping at the mall. She bought two pieces of
pizza for $2.95 each and a soda for $2.25. About how much did she spend? I have to round the numbers. HELP PLS
Answer:
She spent $8.15
Step-by-step explanation:
2 × $2.95 for two pizza = $5.9
$5.9 + an additional $2.25 for a soda = $8.15
A VIAL OF PIPERACILLIAN 4 G IS RECONSTITUTED WITH 2 Ml OF NORMAL SALINE TO YEILD 2g/mL. What is the concentration of the medication if the patient is to receive 1 mL OF THE MEDICATION? A.1.0g B. 1.5g C. 2.0g D. 2.5g
Answer:
2 gm
Step-by-step explanation:
2 gm / ml * 1 ml = 2 gm
The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.
y=-5x-2
Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2Hope it helps.
Do comment if you have any query.
The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?
Answer: 1680
Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.
Please help me
10 points
Answer:
113.04cm^2
Step-by-step explanation:
The area of a circle is pi * r^2
pi=3.14
So 6^2 is 36
36*3.14=113.04
Hope it helps!
If the two spinners below are spun, what is the probability that the numbers will match? 1/4 1/6 1/12 1/3
Answer:
1/4
Step-by-step explanation:
Probability of getting a number on Spinner 1 = 1/3Probability of getting a number on Spinner 2 = 1/4Sample Space = 12 entriesSample Space
{(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)}Probability of getting the same number = 3/12 = 1/4what is the fewest numbers of sides a polygon can have. why?
!! 100 PTS+BRAINLIEST 4 CORRECT ANSWER+EXPLANATION!!
use the photo provided
thanks
Answer:
19.0 cm (3 sf)
Step-by-step explanation:
Formula
[tex]\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)[/tex]
(where r is the radius)
Arc length of white sector
Radius of white sector = 8 - 4.5 = 3.5 cm
[tex]\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm[/tex]
Arc length of grey sector
Radius = 8 cm
[tex]\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm[/tex]
Perimeter of shaded part
Perimeter = arc length (white) + arc length (grey) + 2 x 4.5
[tex]\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9[/tex]
[tex]\sf =19.0356432...[/tex]
[tex]\sf =19.0 \ cm \ (3 \ sf)[/tex]
Please answer correctly!! Will mark brainliest
Step-by-step explanation:
a. the zeroes of the function :
x = 2 or x = -2
b. the y-intercept :
g(0) = -3(0-2)(0+2)
= -3(-2)(2) = 12
the coordinates => (0, 12)
c. the g(x) = g(-x) => this is the even function
d. the leading of coefficient is negative
e. the end of behaviour is toward down
The sets J and E are given below.
J= {2, 3, 4, 8)
E={0,1,3,7)
Find the intersection of J and E.
Find the union of J and E.
Answer:
See below
Step-by-step explanation:
Intersection is the elements that are in both sets : {3}
Union adds them together { 0 1 2 3 4 7 8 }
8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93
que chingue a su madre la jimena.
Step-by-step explanation:
A triangle with exactly two sides of the same length is called
Answer:
isosceles
Step-by-step explanation:
isosceles
the width of a rectangle is a third as long as the length. If the primeter is 24 inches, what is the area of the rectangle?
Answer:
108 inches
Step-by-step explaination:
Looking at the picture I drew, we can assume that 24 = 4x
and so x=6 and 3x=18.
6 times 18 is 108.
20 POINTS ALL FOR YOU IF YOU ANSWER IT
Answer:
look i don't have a paper,but
(3x+10)+(2x+20)=180from here you can do the math and get the XAnswer:
x=30
angle ABC=100
angle DBC=80
Go math help very easy points
Answer:
5, 10, 11, 12, 13, 14, 23, 28, 32, 32, 36, 41, 51, 63, 65
alsooo...
wHy cOUldn'T u dO It
OoooOooOOooooOOOO
brainly is NOT a cheat sheet :)
a die and a coin is rolled and tossed respectively.what is the probability of getting a five and a tail ?
Answer:
1/12
THIS DESERVES BRAINLISTTT
Step-by-step explanation:
There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.
A die has 6 sides. A coin has two.
The probability of rolling a 5 on the die is 1/6.
The probability of getting tails is 1/2.
To get the combined probability, we must multiply the two together. This gives us a total probability of 1/12.
The probability of rolling a 5 and getting tails is 1/12.
i don't understand the calculation of learning rate , how it came 75%
Answer:
Increase the learning rate after each mini-batch by multiplying it by a small constant.
Help picture below problem 18
Answer:
by using pythagoras theorem
[tex] {h}^{2} = {p}^{2} + {b }^{2} \\ {28}^{2} = {17}^{2} + {es}^{2} \\ {28}^{2} - {17}^{2} = {es}^{2} \\ {es}^{2} = 495 \\ es = \sqrt{495} \\ es = 3 \sqrt{55} [/tex]
If l=5,b=3cm,c=2cm, find its volume
Answer:
30 cm³
Step-by-step explanation:
Volume = lbc
V = l x b x cV = 5 cm x 3 cm x 2 cmV = 30 cm³Answer:
The volume is 30 cm³
Step-by-step explanation:
Volume = l×b×c
=> 5×3×2
=> 30 cm³
Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x3+
44x2y + 17 and y3 - 11xy2 + 2x2y - 13x3?
31X3.6 x3 +44 x2y + 11 xy2 +17
32 x3 - y3 + 42 x2y + 11 xy2 + 17
y3 - 6x3 + 33 x2y+ 2 xy2 + 17
20 x2 - y2 + 33 x2y+ 2 xy2 + 17
Answer:
(b) 32x^3 - y^3 + 42x^2y + 11xy^2 + 17
Step-by-step explanation:
To find the difference of the polynomials, write the equation expressing the difference, then simplify.
(19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)
= (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17
= 32x^3 -y^3 +42x^2y -11xy^2 +17