Answer:
assuming youre asking for line of symmetry, it's a line that cuts a shape exactly in half.
for example, a square has 4 lines of symmetry
Use the discriminant to determine the number of solutions to the quadratic equation −40m2+10m−1=0
From the analysis of the discriminant, you obtain that the quadratic function has no real solutions.
In first place, you must know that the roots or solutions of a quadratic function are those values of x for which the expression is 0. This is the values of x such that y = 0. That is, f (x) = 0.
Being the quadratic function f (x)=a*x² + b*x + c, then the solution must be when: 0 =a*x² + b*x + c
The solutions of a quadratic equation can be calculated with the quadratic formula:
[tex]Solutions=\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a}[/tex]
The discriminant is the part of the quadratic formula under the square root, that is, b² - 4*a*c
The discriminant can be positive, zero or negative and this determines how many solutions (or roots) there are for the given quadratic equation.
If the discriminant:
is positive: the quadratic function has two different real solutions. equal to zero: the quadratic function has a real solution. is negative: none of the solutions are real numbers. That is, it has no real solutions.In this case, a= -40, b=10 and c= -1. Then, replacing in the discriminant expression:
discriminant= 10² -4*(-40)*(-1)
Solving:
discriminant= 100 - 160
discriminant= -60
The discriminant is negative, so the quadratic function has no real solutions.
51.Tandin Dorji was married to five women. First woman had three
daughters and five sons and the youngest wife had two sons. Two
of the remaining wives had one son each. If the ratio of children of
5th wife was 1:3 with the children of other wives. How many
children does Tandin have
Answer:
Tandin has 16 children.
Step-by-step explanation:
Total of children:
3+5 = 8(first woman)
2(youngest wife)
1 + 1 = 2(two of the remaining wives)
So
8 + 2 + 2 = 12
If the ratio of children of 5th wife was 1:3 with the children of other wives.
Thus the 5th wife has 12/3 = 4 children.
How many children does Tandin have?
12 + 4 = 16
Tandin has 16 children.
HELP ASAP PLEASE! Accounting class! Lorge Corporation has collected the following information after its first year of sales. Sales were $1,575,000 on 105,000 units; selling expenses $250,000 (40% variable and 60% fixed); direct materials $606,100; direct labor $250,000; administrative expenses $270,000 (20% variable and 80% fixed); and manufacturing overhead $357,000 (70% variable and 30% fixed). Top management has asked you to do a CVP analysis so that it can make plans for the coming year. It has projected that unit sales will increase by 10% next year.
(See screenshots)
Answer:
what is thia
Step-by-step explanation:
i have no idea what you juat said like fr what topic is this im too bored to read the queation
3) Consider the sequence -11 ; 2sin3x ; 15; ...
3.1.1) Determine the values of x in the interval [0 ; 90] for whichthe sequence will be arithmetic.
9514 1404 393
Answer:
x = 30
Step-by-step explanation:
In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...
2sin(3x) = (-11 +15)/2
sin(3x) = 1 . . . . . . . . . . simplify and divide by 2
Then the value of 3x must be 90°, so ...
x = 90/3 = 30
There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.
Which two statements are true
Which of the following is the graph of f(x−1)?
Answer:
b I think!!!!!!!!!!!##$
Jerod hopes to earn $1200 in interest in 4.9 years time from $24,000 that he has available to invest. To decide if it's feasible to do this by investing In an account that compounds monthly, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be? Round to two decimal places
Answer:
The annual interest rate would have to be of 0.1%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Jerod hopes to earn $1200 in interest in 4.9 years time from $24,000 that he has available to invest.
This means that:
[tex]A(4.9) = 1200 + 24000 = 25200[/tex]
[tex]t = 4.9[/tex]
[tex]P = 24000[/tex]
Compounded monthly:
This means that [tex]n = 12[/tex]
What would the annual rate of interest have to be?
We have to solve for r, so:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]25200 = 24000(1 + \frac{r}{12})^{12*4.9}[/tex]
[tex](1 + \frac{r}{12})^{12*4.9} = \frac{25200}{24000}[/tex]
[tex](1 + \frac{r}{12})^{58.8} = 1.05[/tex]
[tex]\sqrt[58.8]{(1 + \frac{r}{12})^{58.8}} = \sqrt[58.8]{1.05}[/tex]
[tex]1 + \frac{r}{12} = (1.05)^{\frac{1}{58.8}}[/tex]
[tex]1 + \frac{r}{12} = 1.00083[/tex]
[tex]\frac{r}{12} = 0.00083[/tex]
[tex]r = 12*0.00083[/tex]
[tex]r = 0.001 [/tex]
The annual interest rate would have to be of 0.1%.
Use the following graph to evaluate f’(-5) and f’(-1).
Answer:
Bonsoir,
f'(-5)=-4/3
f'(-1) =3/4
Step-by-step explanation:
f'(-5) = ?
2 points : (-6,9) and (-3,5)
f'(-5)=(9-5)/(-6-(-3))=-4/3
f'(-1) = ?
2 points : (-3,5) and (1,8)
f'(-1)=(5-8)/(-3-1)=3/4
The lines are perpendicular
The derivative at the points -5 and -1 are:
f’(-5) = -4/3
f’(-1) = 3/4
What is derivative at a point on line?The slope of the tangent line to the graph of a function at a point is called the derivative of the function at that point.
We consider the line on which where the x coordinate -5 lies.
It is the line with points (-3, 5) and (-6, 9).
Slope of the line = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{9-5}{-6+3} = \frac{-4}{3}[/tex]
f'(-5) = -4/3
We consider the line on which where the x coordinate -1 lies.
It is the line with points (-3, 5) and (1, 8).
Slope of the line = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{8-5}{1+3} = \frac{3}{4}[/tex]
f'(-1) = 3/4
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2kg of chicken
61.5 g left
How many kg of chicken were eaten
Answer:
1.9385 kilograms were eaten
1.9385 kg
Step-by-step explanation:
because 2 kg=2000 g
Subtracting 2000
- 61.5
1938.5
Converting 1938.5 in kg is 1.9385 kg
Exercise science researchers collecting data within their state noticed that teens who spend more time streaming videos spend less time exercising.
What are the explanatory variable and response variable for this relationship?
Explanatory variable: time spent exercising
Response variable: state of teen’s residence
Explanatory variable: time spent streaming videos
Response variable: time spent exercising
Explanatory variable: time spent exercising
Response variable: time spent streaming videos
Explanatory variable: state of teen’s residence
Response variable: time spent streaming videos
I think it is (B):
Explanatory variable: time spent streaming videos
Response variable: time spent exercising
Answer:
It is (B) ED2021
Explanatory variable: time spent streaming videos
Response variable: time spent exercising
please help me with this on the image
Answer:
200 grams
Step-by-step explanation:
80 grams x grams
-------------- = -------------
6 people 15 people
Using cross products
80 *15 = 6x
1200 = 6x
Divide by 6
1200/6 = 6x/6
200 =x
tiếp tuyến của đồ thị hàm số x[tex]x^{3} -3x^{2} +2[/tex] tại điểm M(2,-2)
Answer:
what are you telling Id understand
Step-by-step explanation:
became
Five students sit at a circular table. Their chairs are number in order 1 through 5. Abby sits next to both Ben and Colin. Dalia sits next to both Ben and Sarah. The numbers on Abbys and Colins chairs add up to 6. Who is in chair number 3?
What is the domain of the function
v=m***
O x2
O
O O xe3
o
X> 3
ASAP
Answer:
The function will be exist if and only if :
[tex] \frac{ - x + 3}{2} > 0 \\ = > - x + 3 > 0 \\ = > - x > - 3 \\ = > x < 3 \\ \\ \therefore \bf \: domain \: \: \green{x < 3}[/tex]
4. Solve the equation by factoring. 15 = 8x2 - 14x
X
3
5
or x =
4
2
0.
4
2
X=- orx
5
3
O
5
X=-3 or x =
8
3
x=-5 or x =
8
Answer:
1
5
=
8
2
−
1
4
15=8x^{2}-14x
15=8x2−14x
1
5
−
(
8
2
−
1
4
)
=
0
Step-by-step explanation:
=
−
3
4
=
5
2
The solution of equation is x =5/2 or x= -3/4.
What is Factorization?A number or other mathematical object is factored (or factorised, see variants in spelling in English) or factored when it is written as the product of numerous factors, typically smaller or simpler things of the same kind.
We have,
Equation: 15 = 8x² - 14x
Now, rearranging the equation as
8x² -14x -15 = 0
8x² - 20x + 6x -15=0
4x( 2x - 5) + 3 (2x-5)= 0
(2x-5)(4x +3)= 0
2x-5 =0 or 4x+ 3= 0
x =5/2 or x= -3/4
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The Demand function for a product is given by:
D(q) = - 0.0003q^2 - 0.04q + 23.56
where q is the number of units sold and D(q) is the corresponding price per unit, in dollars. What is the average rate of change of Demand between 40 and 175 units sold?
Answer:
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
Step-by-step explanation:
Average rate of change:
The average rate of a function f(x) in an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]D(q) = -0.0003q^2 - 0.04q + 23.56[/tex]
What is the average rate of change of Demand between 40 and 175 units sold?
[tex]a = 40, b = 175[/tex]. So
[tex]D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48[/tex]
[tex]D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725[/tex]
So
[tex]A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045[/tex]
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
Determine the equation for each of the following parabolas described with
a) zero values of -4 and 8 and a maximum value of 4
b) Vertex of (2,5) and through point A (7,2).
Answer:
honestly i dont know but i bet someone will
The perimeter of a fence is 64 feet. The length is 4 feet less than twice the width. What is the length of the fence?
Answer:
20 feet
Step-by-step explanation:
let the width be x
length = 2x-4
perimeter = 2 length + 2 width = 2(2x-4)+2x = 4x-8+2x = 6x-8
6x-8 = 64
6x = 72
x = 12
length = 2x-4 = 2(12)-4 = 20
40+30+10 in commutative property
Answer:
10 + 40 + 30
Step-by-step explanation:
Commutative property states that the order in which we add numbers does not affect the answer, so we just need to change the order of numbers
Answered by Gauthmath
If lan does a job in 132 hours and with the help of Danielle they can do it together in 44 hours, how long
would it take Danielle to do it alone
Answer:
88 hours
Step-by-step explanation:
Ian = 132
Daniel + Ian = 44
Daniel = Ian - 44
= 132-44 = 88 hours
9. Find the value of the trigonometric ratio tan C
Hi there!
[tex]\large\boxed{tanC = 40/9}[/tex]
tan = O / A, or the opposite side over the adjacent side.
From the diagram, we can see that the opposite side = 40 and the adjacent side = 9, so:
tan C = 40 / 9
Answer:
tan C = 40/9
Step-by-step explanation:
According to SOH - CAH - TOA, tan = opposite over adjacent.
In the picture, the opposite of tan C is 40 and the adjacent is 9.
So, tan C = 40/9
P.S. - Answer above is also correct.
Help please. For the hign school basketball game, it costs $8 for every 4 tickets. Complete the table below showing the cost and the number of tickets.
Answer:
$2 for 1 ticket, 7 tickets for $14, $18 for 9 tickets, 10 tickets for $20
Step-by-step explanation:
Since we know that it $8 for 4 tickets, we can simplify the ratio down to 2:1, meaning that each ticket is $2.
You're welcome and good luck with your classes young one
PLEASE HELP MIGHT GIVE BRAINLIEST!!!!! IM BEGGING YOU!!!!
Find the equation of the line with an x intercept of 4 and a y intercept of -1.5
Answer:
y = 4x -1.5
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = 4x -1.5
Please I need the answer according to steps
Answer:
Factorise out x and y terms:
[tex]{ \tt{ = \frac{ {x}^{2} {y}^{4} (5x - 3y)}{45} }} \\ [/tex]
Determine the input that would give an output value of 2/3
==========================================
Explanation:
The steps you have so far are correct. You just need to multiply both sides by -3
Doing so will clear out the fractions and you'll be left with 19 = x, which is the same as x = 19
Let's check that answer:
[tex]y = -\frac{1}{3}x + 7\\\\y = -\frac{1}{3}*19 + 7\\\\y = \frac{-19}{3} + 7*\frac{3}{3}\\\\y = \frac{-19}{3} + \frac{21}{3}\\\\y = \frac{-19+21}{3}\\\\y = \frac{2}{3}\\\\[/tex]
So the answer is confirmed.
find the value of trigonometric ratio
Step-by-step explanation:
tan Z=p/b
=48/14
=24/7
Keep smiling and hope u are satisfied with my answer.Have a good day :)
yesterday kofi earned 50cedis mowing lawns. today kofi earned 60% of what he earned yesterday mowing lawns.How much did kofi earned mowing lawns today?
Answer:
30 cedis
Step-by-step explanation:
todays earning = yesterdays earning * 60/100
50 * 60/100 =30
Convert 2 1/3 into improper fraction: *
7/3
O 7/6
O 6/3
O 3/6
Answer:
7/3 is the answer
Step-by-step explanation:
The perimeter of a triangle is 83 centimeters. If two sides are equally long and the third side is 8 centimeters longer than the others, find the lengths of the three sides.
Answer:
25, 33
Step-by-step explanation:
let the length of the one with equal sides be x
third side = x+8
x+x+x+8 = 83
3x+8 = 83
3x = 75
x = 25
x+8 = 25+8 = 33
Given the following coordinates complete the glide reflection transformation.
A(−1,−3)
B(−4,−1)
C(−6,−4)
Transformation: Reflection over the x-axis and a translation of shifting right 10 units.
Given:
The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).
Transformation: Reflection over the x-axis and a translation of shifting right 10 units.
To find:
The image after glide reflection transformation.
Solution:
The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).
If a figure is reflected over the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
Using this, we get
[tex]A(-1,-3)\to A'(-1,3)[/tex]
[tex]B(-4,-1)\to B'(-4,1)[/tex]
[tex]C(-6,-4)\to C'(-6,4)[/tex]
If a figure is shifting 10 units right, then
[tex](x,y)\to (x+10,y)[/tex]
Using this we get
[tex]A'(-1,3)\to A''(-1+10,3)[/tex]
[tex]A'(-1,3)\to A''(9,3)[/tex]
Similarly,
[tex]B'(-4,1)\to B''(-4+10,1)[/tex]
[tex]B'-4,1)\to B''(6,1)[/tex]
And,
[tex]C'(-6,-4)\to C''(-6+10,4)[/tex]
[tex]C'(-6,-4)\to C''(4,4)[/tex]
Therefore, the vertices of the image are A''(9,3), B''(6,1) and C''(4,4).
