Answer:
Option D.
The discriminat is equal to 24 which
Step-by-step explanation:
The quadratic equation is
-2x² + 3 = 0
Discriminat in quadratic equation tells us the number of solution a quadratic equation has.
For example, the quadratic equation
Ax² + bx + c = 0 will have a discriminat of b² - 4ac.
b² - 4ac is equal to the value of the discriminat and equal to the number of solutions the quadratic equation has.
In our question, we have -2x² + 3 = 0
A = -2
B = 0
C = 3
b² - 4ac = 0
Substitute the values into the above equation.
0² - 4(-2 ×3) = 0
0 + -4 × -6 = 0
24 = 0
The discriminat of the equation is 24
Answer
A.) 2
Step-by-step explanation:
Edge 2021
what is 25 percent of 1000
Answer:
250
Step-by-step explanation:
1000 divided by 4 is 250
The population of two different villages is modeled by the equations shown
Suppose y represents the population and x represents the number of years
since 1980. What year(s) were the populations of both villages the same?
What was the population of both villages in the year(s) they were the same
Montville: y = x2 – 30x + 540
Havertown: y = 20x + 15
Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
[tex]y=x^2-30x+540[/tex]
[tex]y=20x+15[/tex]
The population of both villages are same after x years after 1980 if
[tex]x^2-30x+540=20x+15[/tex]
[tex]x^2-30x+540-20x-15=0[/tex]
[tex]x^2-50x+525=0[/tex]
Splitting the middle term, we get
[tex]x^2-15x-35x+525=0[/tex]
[tex]x(x-15)-35(x-15)=0[/tex]
[tex](x-15)(x-35)=0[/tex]
[tex]x=15,35[/tex]
It means, after 15 or 35 years, the population will same.
For x=15, years is [tex]1980+15=1995[/tex] and population is
[tex]y=20(15)+15=315[/tex]
For x=35, years is [tex]1980+35=2015[/tex] and population is
[tex]y=20(35)+15=715[/tex].
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.
Year = 1995 and population = 315
Year = 2015 and population = 715
Calculation:The equation is
[tex]y = x^2 - 30x + 540\\\\y = 20x + 15[/tex]
Now
[tex]x^2 - 30x + 540 = 20x + 15\\x^2 - 30x + 540 - 20x - 15=0\\\\x^2 - 50x + 525 = 0\\\\x^2 - 35x - 15x + 525=0\\\\x(x - 15) -35(x-15) = 0\\\\(x-15) (x-35) = 0[/tex]
x = 15,35
so,
When x is 15 , the population is = 20(15 ) +15 = 300 + 15 = 315
And, x is 35 , the population is = 20(35 ) +15 = 700 + 15 = 715
Learn more about the population here: https://brainly.com/question/905400?referrer=searchResults
A triangle has two sides of length 8 and 15. What is the largest possible whole-number length for the third side?
The answer is 120 have a great day. Step-by-step explanation:
Luke is going to reflect point R(6, 10) over the y-axis. What are the coordinates for R'?
Answer: (-6,10)
Step-by-step explanation:
Since you are reflecting over the y-axis, the x value becomes the negative
The coordinates for R' the reflected point are (-6,10).
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Thus, if you're reflecting a point (x,y) along x axis, then its
f=x
abscissa will stay same but
f=y
ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
We are given that;
The point R(6, 10)
Now,
When reflecting a point over the y-axis, we simply negate the x-coordinate while keeping the y-coordinate the same.
So, to reflect point R(6,10) over the y-axis, we flip its x-coordinate to get R'(-6,10).
Therefore, by reflection answer will be (-6,10).
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Sophie is making a rectangular pen for her rabbit. The pen is 4 feet wide and 6 feet long. What is the area of the pen?
Answer:
The area of the pen would be 24 feet.
Step-by-step explanation:
6 multiplied by 4 is 24.
Answer:
24 feet squared
Step-by-step explanation:
the area of a rectangle = l x w
length = 6
width = 4
therefore, 4x6=24
A package of 12 pencils costs
$2.04. Based on the cost of this
package, what is the cost of 1 pencil?
Answer:
$0.17
Step-by-step explanation:
2.04/12=0.17
Please mark as Brainliest! :)
Have a nice day.
Answer: 0.17 for 1 pencil
Step-by-step explanation:
Attached the work.
The equation of the graphed line is 2x - y = -6.
What is the x-intercept of the graph?
-3
-2
ОООО
2
4
3
6
2
2
3
4
5 6 7
Х
-5/3 -2 -11
-2
L3-
4
Answer:
-3 or (-3,0)
Step-by-step explanation:
When graphed the line 2x-y=-6 intersects the x-axis at the coordinate (-3,0)
WILL GIVE BRAINLIEST
Given the expression: 4x10 − 64x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
2(20-64)
Step-by-step explanation:
4*10-64*2
40-128
2(20-64)
Please help ASAP, dhdbhehd
Answer:
42°
Step-by-step explanation:
all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42
i need help this is due in 20 minutes!!!!!! PLZ!!!!!
Answer:if the answer your looking for is the area, then it’s 16.15
Step-by-step explanation:
Please help and give correct answer
If AB=3 cm, AC=5 cm, CD=3 cm, and CE=5 cm, what additional information is needed to prove △ABC≅△DEF?
BC=3 cm and AB=3 cm
BC=4 cm and DE=4 cm
BC=5 cm and CE=5 cm
DE=3 cm and CD=3 cm
Answer:
The correct option is;
BC = 4 cm and DE = 4 cm
Step-by-step explanation:
The given sides parameters are;
In ΔABC
AB = 3 cm
AC = 5 cm
In ΔDEF
CD = 3 cm
CE = 5 cm
We note that the point F on ΔDEF is the same as point C on ΔABC
For the two triangles to be congruent, the third side must be equal hence e have;
Where ∠B = ∠D = 90°
Hence, AC² = AB² + BC²
∴ BC = √(5² - 3²) = 4
Similarly,
CE² = CD² + DE²
∴ DE = √(5² - 3²) = 4
Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.
Match the rate - - .75 -- with corresponding time of year
A. Three Months, 1/4 =
B. Six Months, 6/12 =
C. Nine Months, 9/12 =
D. 1 Month, 1/12 =
Answer: C. Nine Months, 9/12 = 9÷12 = 0.75
Step-by-step explanation:
Hi, to answer this question we have to convert the fraction into decimals and compare:
A. Three Months, 1/4 = 1÷4 = 0.25
B. Six Months, 6/12 = 6÷12 =0.5
C. Nine Months, 9/12 = 9÷12 = 0.75
D. 1 Month, 1/12 =1÷12 = 0.083333
C. Nine Months, 9/12 = 9÷12 = 0.75
Feel free to ask for more if needed or if you did not understand something.
Find the surface area of the cylinder. Round your answer to the nearest tenth. radius is 6 ft height is 7 ft
Answer:
490.1
Step-by-step explanation:
A=2πrh+2πr2=2·π·6·7+2·π·62≈490.08845
A runner can run 3 miles in 30 minutes. how long will it take to run 2.5
Answer:
25 minutes.
Step-by-step explanation:
We can set up an equation: 3/30=2.5/n. This situation is directly proportional, since the number of minutes increases as the runner runs more miles.
We can cross multiply: 3n=30*2.5
3n=75
n=25
Ellen saved $2000 and she spent 10% of it to buy a bike. Kim saved 8% more than that of Ellen's left savings. If Lisa saved 60% as much as Kim, how much money did Lisa save?
Answer: Lis saved $1166.4 .
Step-by-step explanation:
Given , Ellen saved $2000 and she spent 10% of it to buy a bike.
Then, Ellen's left saving = saved amount - 10% of (saved amount)
= $2000 - 0.10 x $2000 [We convert perecntage to decimal by diving it by 100]
= $2000 - $200
= $1800
So, Ellen's left saving= $1800
Also, Kim saved 8% more than that of Ellen's left savings.
Kim's Saving = Ellen's left saving + 8% of (Ellen's left saving)
= $1800 + (0.08) x ($1800) [We convert perecntage to decimal by diving it by 100]
= $1800 + $144
i.e. Kim's Saving= $1944
If Lisa saved 60% as much as Kim, then Lisa's saving = 60% of (Kim's Saving)
= (0.60) x ($1944) [We convert perecntage to decimal by diving it by 100]
i.e. Lisa's saving = $1166.4
Answer:
1166.40
Step-by-step explanation:
i got it right on my test.
Which of the following is true
Answer:
I think its I,II,III
because first r+q = 90 as we'll as z= 90
second s and z are vertically opposite angles and so are equal
third x+s+r= 180 degrees because they are on a straight line
For what values of x does
25^x = 5^(x2-3?)
Answer:
x = 3 or x = -1
Step-by-step explanation:
25^x = 5^(x^2 - 3)
<=> (5^2)^x = 5^(x^2 - 3)
<=> 5^(2x) = 5^(x^2 - 3)
<=> 2x = x^2 - 3
<=> x^2 - 2x - 3 = 0
<=> x^2 + x - 3x - 3 = 0
<=> x(x + 1) - 3(x + 1) = 0
<=> (x - 3)(x + 1) = 0
<=> x = 3 or x = -1
I hope this helps!
9.75t + 9 = 13.5t + 12 what is the solution for t
Answer:
t = - 0.8
Step-by-step explanation:
9.75t -9.75t + 9 = 13.5t - 9.75t+ 12
9 = 3.75t +12
9 - 12 = 3.75t
- 3 /3.75= 3.75 t/3.75
- 0.8 = t
Answer:
∴ t= -0.8
Step-by-step explanation:
9.75t + 9 = 13.5t + 12
9.75t-13.5t=12-9
-3.75t=3
-t=3/3.75
-t=0.8
∴ t= -0.8
Hope this helps..Pls mark as Brainliest!!
Reflect the triangle in the mirror line
Answer:
image attached
Step-by-step explanation:
see attached
List five rational numbers between -4/7 and 1/2
Answer:
- ²⁾4/7 = - 8/14
⁷⁾1/2 = 7/14
- 8/14 < - 9/14 < - 12/14 < 3/14 < 5/14 < 7/14
al3xis
The scatter plot shows the number of pigs and cows on various farms.
Which farmers had more cows than pigs?
Connie, Josie, Patrick, Mimi, Emma
Connie, Josie, Jackson, Jose'
Mimi, Yosef, Jacob, Emiel, Jaylan, Harold
Emiel, Jackson, Jacob, Harold, Yosef
Answer:
Connie, Josie, Patrick, Mimi, Emma
I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct
Connie, Josie, Patrick, Mimi, and Emma are the farmers that had more cows than other farmers.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We know that the number of cows is shown on the graph on the y-axis.
The number of pigs is shown on the x-axis of the graph.
we can conclude from the graph that Connie, Josie, Patrick, Mimi, and Emma had more cows than the other farmers.
If we add all of them that would become greater than others.
Learn more about addition;
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what is the value of x?
Answer:
D 36 degrees
Step-by-step explanation:
You add 65 degrees and 79 degrees together and get 144 degrees
The whole triangle is 180 degrees
So you take 180 - 144
and you get D, 36 degrees
Answer:
D.
Step-by-step explanation:
65º+79º+xº=180º
x=180º-65º-79º
x=115º-79º
x=36º
D.
the volume of a cylinder is 210 cm³ with a radius of 14 cm find the curved surface area if the formula for curved surface area is
2πrh
Answer:
30 cm²
Step-by-step explanation:
we need to find h
V=πr²h
h=V/πr²
h=210/14²π
h=0.341
then we found curved surface area
A=2πrh
A=2×π×14×0.341
curved surface are= 30 cm²
find the value of x
thank you in advance for your help!
Answer:
52
Step-by-step explanation:
Answer:
x= 12
Step-by-step explanation:
Please see attached picture for full solution.
Feel free to ask if you have any queries :)
Will give brainliest if correct.
Answer:
The answer would be, 81cm.
Step-by-step explanation:
36÷4=9
9×9=81
Which takes up a larger area: the flowers or the grass?
Answer:
THE GRASS
Step-by-step explanation:
Because the grass takes up a larger area
WILL MARK BRAINLIEST WHOEVER GETS IT RIGHT!
How do I solve number 12?
Give the explicit form
Answer:
[tex]a_{n}[/tex] = 100n - 112
Step-by-step explanation:
Given the recursive formula
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 100 with a₁ = - 12
This tells us that any term is found by adding 100 to the previous term
That is common difference d = 100 and a₁ = - 12
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d , thus
[tex]a_{n}[/tex] = - 12 + 100(n - 1) = - 12 + 100n - 100 = 100n - 112
Answer:
100 = 100n - 112
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
x^2-2x-24=0 A. 6
B. 4
C.-6
D.-24
E. -4
Answer:
A. 6
E. -4
Step-by-step explanation:
x² - 2x - 24 = 0
x - 6
x 4
(x - 6)(x + 4) = 0
Set each parenthesis equal to 0:
(x - 6) = 0
Isolate the variable, x. Add 6 to both sides;
x - 6 (+6) = 0 (+6)
x = 0 + 6
x = 6
(x + 4) = 0
Isolate the variable, x. Subtract 4 from both sides:
x + 4 (-4) = 0 (-4)
x = 0 - 4
x = -4
x = -4, 6 are your solutions, or A. & E.
~
Answer:
[tex] \boxed{A. \: 6 \: \: \: and \: \: \: E. \: -4} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} - 2x - 24 = 0 \\ \\ = > {x}^{2} - (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} - 6x + 4x - 24 = 0 \\ \\ = > x(x - 6) + 4(x - 6) = 0 \\ \\ = > (x - 6)(x + 4) = 0 \\ \\ = > x - 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x + 4 = 0 \\ \\ = > x = 6 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x = - 4[/tex]
pls help me I will give u 100 points and mark you as brainiest pls help. 1,2,3,4,5
Answer:
See explaination
Step-by-step explanation:
All these questions can be solved remembering that the area of a triangle is the base*height/2
1) 9.8*3.6/2 = 17.64
2) 14*35/2 = 245
3) 8.4*6.9/2 = 28.98
4) For this one, it is important to realize that if a triangle contains 2 perpendicular lines, it is a right triangle, and therefore, those two lines must be the base and the height. So the answer is just 1.8*2.5/2 = 2.25
5)3.2*9.6/2 = 15.36
Answer:
first is 17.64cm second is 245m third is 28.98cm fourth is 15.36
