[tex] {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0[/tex]
This equation has the next form:
[tex] {ax}^{2} + bx + c = 0[/tex]
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
[tex] {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0[/tex]
Then, the first case has two complex solutions.
In the second case,
[tex] {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0[/tex]
The discriminant in this case is:
[tex]( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0[/tex]
Then, the second case has two complex solutions.
In the third case,
[tex]12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0[/tex]
The discriminant in this case is:
[tex] {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0[/tex]
Then, the third case has two real solutions.
In the fourth case,
[tex] { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0[/tex]
The discriminant in this case is:
[tex]( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0[/tex]
Then, the fourth case has two complex solutions.
Can someone help me pls
josie is looking at buying a new phone for $800. If she does not want to pay the entire $800 she has the option of buying a phone $150 deposit and making 12 monthly payment of $75 each. If josie Chooses the payment plan what will be the percent increase on the original cost of the phone? No links
Answer:
maybe its b
Step-by-step explanation:
Permudahkan ungk
8a + 3b - 2a - b
Answer:
answer:8a + 3b - 2a - b
=8a-2a+3b-b
=6a+2b or 2(3a+b) is your answer
Ans: 720cm
2
The ratio of the number of Malay students to the number of Indian students to the
number of Chinese students in a school is 5:4:8.
There are a total of 468 Indian and Chinese students.
What is the total number of students?
Ans:
Answer:
663
Step-by-step explanation:
ratio of Malay = 5
ratio of Indian= 4
ratio of Chinese= 8
Total number of Indian + Chinese= 468
Total ratio= 5+4+8= 17
Let the total number of students= X
Ratio of India= 4/17 × X=
Ratio of Chinese= 8/17 × X=
Addition of ratio of both India and Chinese=
4X/17 + 8X/17= 468
(4X +8X)/17 = 468
12X/17= 468
X= 663
Hence, total number of students is 663
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of . One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:
V = (1/3) * π * r² * h
First, simplify the volume formula for a cone to make it easier to manipulate:
V = 1/3πr²h
Next, plug in the given values for the first cone:
V = 1/3π(2²)(8) = 32π/3
Then, divide the volume of the sink by the volume of the first cone:
2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.
Now, calculate the volume of the second cone using the same formula:
V = 1/3π(4²)(8) = 128π/3
Finally, divide the volume of the sink by the volume of the second cone:
2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.
Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:
2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.
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Help please & thank you , need it asap
Answer:
x = 180 - 30 - 41 - 67 = 42°
Help me please I need the help
Answer:
p - 3
Step-by-step explanation:
Key expression: 3 fewer than
Fewer than = subtract from
subtract 3 from a number, p
This means that the expression would be p - 3
Because you are subtracting 3 from a number ( p )
Please hePlease necassary answers I need 9 and 10
Answer:
9) 73
10) he set off at 1:55 pm
easy-Peasy
I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY
Q5 is 115. Hope this helps! :) ✨
I can't see the numbers on Q6 sorry :((
Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP
Answer:
48 cm²
Step-by-step explanation:
Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h
Area = (8 + 16)/2 x 4
Area = 24/2 x 4
Area = 12 x 4
Area = 48 cm²
Solve for x
A) 3
B) 11
C) 6
D) 7
Sam is making a picture frame. He is gluing craft sticks end-to-end to a piece of cardboard. The sticks do not overlap. The top of the frame is 18 and one-third inches long. Each craft stick is 3 and one-third inches long.
How many craft sticks will Sam glue to the cardboard to make the top of the frame?
Answer: 5 1/2
Step-by-step explanation:
I took the test ig, but im not 100% sure
Which statement correctly compares the function shown on this graph with
the function y = 5x + 5?
-10-8-642
2 4 6 8 10
A. The function shown on the graph has a smaller rate of change and
a lower starting point.
B. The function shown on the graph has the same rate of change, but
a lower starting point.
OC. The function shown on the graph has the same rate of change, but
a higher starting point.
D. The function shown on the graph has a smaller rate of change, but
the same starting point.
Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain
Answer:
1. I'll Be Fine - Juice Wrld
2. ON GOD - Juice Wrld
3. Rich and Blind - Juice Wrld
Find the 59th term of the arithmetic sequence 26, 17, 8, ...
Answer:
-496
Step-by-step explanation:
it's right :)
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.
2( − 4) = 10 − 8 − 8
A
unique solution
B
no solution
C
infinite solutions
For each value of y, determine whether it is a solution to 7y - 9 = -58
Answer:
The answer is -7.
Step-by-Step explanation:
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
What is the probability of being born on a day that does not begin with the letter T?
What is 6% of 7500 + 5% of 7500
Answer: It should be 825
Step-by-step explanation:
Image attached. Thank you
Answer:
y=-x+1
Step-by-step explanation:
Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.
The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1
The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):
m=(2-1)/(-1-0)=-1/1
m= -1
Knowing these values, we can write y=mx+c for our equation: y=-x+1
What is the slope of the line represented by the equation y=4/5x-3
Answer:
4/5
Step-by-step explanation:
slope is 4/5
y = mx + b
m = slope
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale
Answer:
150 ft²
Step-by-step explanation:
Area of trapezoid = ½(a + b)h
Where,
a = 24 ft
b = 24 + 12 = 36 ft
h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)
Plug in the values
Area of trapezoid = ½(24 + 36)*5
= ½(60)*5
Area of trapezoid = 150 ft²
I am completely lost someone help!:)
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Given
The above triangles
Required
Find x
The two triangles are similar. So we make use of the following equivalent ratios, to solve for x
[tex]XZ : ZY = JL : LK[/tex]
Replace each side with their measurements
[tex]13 : 10 = x : 20[/tex]
Express as fraction
[tex]\frac{13}{10} = \frac{x}{20}[/tex]
Solve for x
[tex]x = \frac{13}{10} * 20[/tex]
[tex]x = 1.3 * 20[/tex]
[tex]x = 26[/tex]
2 1/6* 2 5/6 IN SIMPLEST FORM
Answer:
6 5/36
Step-by-step explanation:
MARK ME BRAINLIEST?
2. the sum of x and 9
Answer:
x + 9
Step-by-step explanation:
The sum of x and 9,
x + 9
Select the interval where g is positive.
Choose 1 answer:
A
1 < x < 2
B
3 < 3 < 4
4 < x < 5
Answer: it’s a
Step-by-step explanation:
What is the greatest common factor of 8, 44, and 12? explanation pls on how you got the answer
The greatest common factor( GCF) is = 4.
The greatest common factor(GCF) is the highest number that can divide 8, 44 and 12 without a reminder.
To find the GCF, first list the common factors of each figure given.
Common factors of 8 = 1, 2, 4, 8Common factors of 44 = 1, 2, 4, 11, 22, 44Common factors of 12 = 1, 2, 3, 4, 6, 12There are 3 common factors of 8, 44 and 12, that are 1, 2, and 4. Therefore, the greatest common factor of 8, 44 and 12 is 4.
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(x^2)+8x+12=0
i need help with this one
Answer:
x1=-6, x2=-2
Step-by-step explanation:
Answer:
this is the answer hope it helps
Find the coordinates of the 4th vertex d
Answer:
I think its b
Step-by-step explanation: