Answer:
The answer is "non-real solution: "i-3 and -i-3" and real solution is -2".
Step-by-step explanation:
In the given equation there is some mistype error so, its correct equation can be defined as follows:
Given value:
[tex]\bold{ f(x) = x^3+ 8x^2 +22x +20}[/tex]
use hit and trial method we put x value are -2:
[tex]f(-2) = (-2)^3+ 8(-2)^2 +22(-2) +20\\\\[/tex]
[tex]= -8 + 8 \times 4 +22 \times -2 +20\\\\= -8 + 32 -44 +20\\\\= -52 + 52\\\\=0[/tex]
So, the real solution to the equation is "-2".
In the above solution, we calculate the f(x) =-2 is its real solution. so, the calculation for non-real solution:
divide the value [tex]x^3+8x^2+ 22x +20[/tex] by ([tex]x+2[/tex]):
Quotient: [tex]x^2+6x+10[/tex]
Remainder: 0
[tex]\to x^2+6x+10 \\\\compare \ with \ ax^2+bx+c: \\\\a= 1\\b= 6\\c=10\\\\\bold{Formula:}\\\\\to D= b^2-4ac\\\\[/tex]
[tex]= 6^2- 4 \times 1 \times 10\\\\ = 36- 40\\\\ = -4[/tex]
Formula for calculate non-real solution:
[tex]\bold{\frac{-b\pm \sqrt{D}}{2}}[/tex]
non-real solution: "i-3 and -i-3"
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
34 - 25 = 9
Step-by-step explanation:
A cylinder has a height of 20 inches and a diameter of 18 inches.
Find the surface area in terms of straight pi
Answer:
1639.91
Step-by-step explanation:
to work out surface area of a cylinder u do
A=2πrh+2πr2
hope this helps :)
What is 11/9 as a decimal?
A high definition radio station charges $200 per year in addition to $50 per month for
the first 3 months to receive its broadcast.
Answer:
4
Step-by-step explanation:
Planes X and Y and points C, D, E, and F are shown.
Which statement is true about the points and planes?
С
VX
The line that can be drawn through points C and D is
contained in plane Y.
O The line that can be drawn through points D and E is
contained in plane Y.
O The only point that can lie in plane X is point F.
O The only points that can lie in plane Y are points D
and E.
E
.
Save and Exit
Next
Submit
Mark this and return
Answer:
The answer is below
Step-by-step explanation:
The planes are shown in the image below.
From the image, points D and E are on plane Y, while point F is on plane X.
A) The line that can be drawn through points C and D is contained in plane Y.
This statement is wrong because point C is not in plane Y
B) The line that can be drawn through points D and E is contained in plane Y.
Correct. Since both points D and E are on plane Y, hence The line that can be drawn through points D and E is contained in plane Y.
C) The only point that can lie in plane X is point F.
This statement is correct because from the image only point F is on plane X.
D) The only points that can lie in plane Y are points D and E.
This statement is correct because from the image only point D and E is on plane Y.
what is the place value of the 6 in 976.14
Answer:
represents the one value
Step-by-step explanation:
Ones place
Marking Braniest!!! What is 100÷4÷4÷4
Answer:
1.5625
Step-by-step explanation:
100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625
Answer:
1.5625
This is what I think is the answer
Write the equation of the line that passes through the given points.
(0,5) and (-2,-4)
Answer:
[tex]y=\frac{9}{2}x+5[/tex]
Step-by-step explanation:
To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]y=\frac{5-(-4)}{0-(-2)}=\frac{9}{2}[/tex]
So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
Pugging in 9/2 for m and 5 for b we get:
[tex]y=\frac{9}{2}x+5[/tex]
which would be our equation.
I hope this helps. Happy studying.
Find the distance from G(-3, -1) to the line whose equation is y = 4
The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5
How to find the Distance of a Line?
We are given the coordinate of point G as G(-3, -1).
We want to find the distance between that coordinate and the line y = 4.
Comparing the line with the equation Ax + By + C = 0 gives;
B = 1 and C = -4
Now, Equation for distance between line and coordinate axes points is;
d = |Ax + By + C|/√(A² + B²)
Thus;
d = |0(-3) + 1(-1) - 4|/√(0² + 1²)
d = |-5|
Since absolute value, then d = 5.
Read more about Distance of a Line at; https://brainly.com/question/7243416
#SPJ1
help please !!!!!!!!!!!!!
Answer:
f(4)= -10
If g(x) =2, then x=0
Step-by-step explanation:
How many hundredths are in one tenth how many thousandths are in one hundredth
Answer:
10 hundredths
Step-by-step explanation:
One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.
pls help i have 2 minutes find length
Answer:
2.4 cm
Step-by-step explanation:
i hope that I helped you.
plz help im having a very hard time answering these questions
i will mark u as brainliest
STEP BY STEP EXPLANATION:
drops
someone help me on 2 and 3 plssssss
Answer:
<MSDBEF
Step-by-step explanation:
vqswdhbjfknhbdncdsujhc,f,jfd.sjbdvkjzsfnvb;krjbsv
5|7+4x|-7=48
Please help
Answer: 1.2
Step-by-step explanation:
first multiply 5 by 7 to get 35, and 5 by 4x to get 20x. Then add negative 7 to 35 and we have 28 subtract 28 from both sides getting 20x=20, so x is 1
What is the probability of scoring a total of 6
What are reasons A, B, and C in the proof?
Prove: (4 · 3)l + (2 · 4)l = 20l
Statements Reasons
(4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________
= 4(3l + 2l) B. _________________
= 4(5l) Addition
= (4 · 5)l C. _________________
= 20l Multiplication
Answer:
A. Commutative property
B. Associative and distributive properties.
C. Associative property.
Step-by-step explanation:
We proceed to present which reason are utilized by supporting procedure:
1) [tex](4\cdot 3) \cdot i +(2\cdot 4)\cdot i[/tex] Given
2) [tex](4\cdot 3)\cdot i +(4\cdot 2)\cdot i[/tex] A. Commutative property
3) [tex]4\cdot (3\cdot i+2\cdot i)[/tex] B. Associative and distributive properties.
4) [tex]4\cdot (5\cdot i)[/tex] Addition.
5) [tex](4\cdot 5)\cdot i[/tex] C. Associative property.
6) [tex]20\cdot i[/tex] Multiplication/Result.
Is 4 a solution to the equation 5+x=10? Explain.
Answer:no
Step-by-step explanation:
9514 1404 393
Answer:
no, it makes the equation false
Step-by-step explanation:
A "solution" is a value of x that makes the equation true. When we use 4 in place of x here, we get ...
5 + 4 = 10
9 = 10 . . . . . . . a false statement
The value x=4 does not make the equation true, so it is not a solution.
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
[tex]\^ p =\frac{k}{n}[/tex]
=> [tex]\^ p =\frac{14}{16}[/tex]
=> [tex]\^ p = 0.875 [/tex]
The null hypothesis is [tex]H_o : p = 0.5[/tex]
The null hypothesis is [tex]H_o : p > 0.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }[/tex]
[tex]z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }[/tex]
[tex]z = 3[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > 3)[/tex]
From the z table the probability of Z>3 is mathematically represented as
[tex]P(Z > 3) = 0.0013499[/tex]
So
[tex]p-value = 0.0013499 [/tex]
Let assume the level of significance is [tex]\alpha = 0. 05[/tex]
Generally from the value obtained we see that [tex]p-value < \alpha[/tex] Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
A pharmaceutical sales representative gets paid $50,000 annually plus
3.5% commission on total sales. This year he sold $420,000 in
pharmaceuticals. What are his annual total earnings?
100% = $420,000
3.5% = 3.5/100 × 420,000
= $ 14,700
Commission he earned = $14,700
Annual total earnings= $50,000 + $14,700
= $ 64,700
Answer:
14,500
Step-by-step explanation:
6m + 4n + 3m - 6
What are the terms? Separate them with a comma.
insert 6A.M's between 15 and -13
Answer:
-13
Step-by-step explanation:
see if good
Is 4.95 a terminating decimal
Answer:
Definitely
since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.
Step-by-step explanation:
9(9r + 3s - 9)
Evaluate this
An automatic teller machine gives you $150 in five and ten-dollar bills. There are two more than twice as many five-dollar bills as there are ten-dollar bills. How many of each denomination are there?
Answer:
There are 7 ten-dollar bills and 16 five-dollar bills.
Step-by-step explanation:
Let's call:
T: Number of ten-dollar bills
F: Number of five-dollar bills
The amount of money withdrawn from the ATM is $150:
10T+5F=150
Dividing by 5:
[tex]2T+F=30\qquad\qquad [1][/tex]
We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:
[tex]F=2+2T\qquad\qquad [2][/tex]
Substituting [2] into [1]:
2T+2T+2=30
Rearranging:
2T+2T=30-2
Simplifying:
4T=28
Solving:
T=28/4=7
From [2]:
F=2+2*7=2+14=16
There are 7 ten-dollar bills and 16 five-dollar bills.
y=5x-7
-3-2x=12 for x
Answer:
4 2/3
lmk if this is correct or not
Step-by-step explanation:
5x-7-3-2x=12
5x-4-2x=12
3x-2=12
3x=14
14/3
x=4.666 or 4 and 2/3
i cant find the answer to 2 1/4 times 1/6?.. can someone help a kid out
Answer:
0.375 or 3/8
Step-by-step explanation:
calculator :)
Write an equation in slope-intercept form for the line that has a slope of -1 that passes through (-4,3).
Answer:
[tex]\huge\boxed{y=-x-1}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1;\ y_1)[/tex] - point on a line
========================================
We have
[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]
substitute
[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]
The fastest doughnut machine can fry 9600 doughnuts per hour. Which is closest to the number
of doughnuts this machine can fry every second?
Answer:
9600/60 minutes = 9600/ 360 seconds = 26
Keep practicing :)
Step-by-step explanation:
Answer:
9.6
Step-by-step explanation:
The reason is because you divide this number by 1,000 which gives you 9.6
9600 divided by 1,000= 9.6
frst to answer this gets brainliest!!!!
1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64
Answer:
1. 14.91
2. 173.48
3.100.86
Step-by-step explanation:
all the answers are rounded to the nearest hundredth place, i believe.