Answer:
D) y=-5
Step-by-step explanation:
..............
use the discriminant to determine the nature of the roots of the quadratic equation
The given equation is in the form ax^2 + bx + c = 0, where
a = 2
b = -12
c = 18
Those a,b,c values are plugged into the discriminant formula below
d = b^2 - 4ac
d = (-12)^2 - 4(2)(18)
d = 144 - 144
d = 0
The discriminant is zero, so there is only one real root. This root is specifically a rational number.
which expression is equivalent to: -9x^-1y^-9/-15x^5y^-3
Answer:
3 / 5x^6y^6
Step-by-step explanation:
= -9x^-1y^-9/-15x^5y^-3
= -9y-9 / -15x^6y^-3
= -9 / -15x^6y^6
= 3 / 5x^6y^6
Answer:
b on edge
Step-by-step explanation:
May someone please help me with this question
Answer:
2+i or 2-i (D)
Step-by-step explanation:
First you use the quadratic formula. X= (-b +/- [tex]\sqrt{b^{2}-4ac }[/tex])/2a
a=1
b=-4
c=5
X= (4 +/- [tex]\sqrt{16-20}[/tex])/2
X=(4 +/- [tex]\sqrt{-4}[/tex])/2
The square root of -4 is 2i. i=√-1. Therefore 2i= 2√-1 .If you simplify that, it becomes √-4i.
X= (4+/- 2i)/2
X= 2+/-i
X= 2+i or 2-i
pls help me I need to finish it!!
Answer:
2/7
Step-by-step explanation:
7/8 ÷ 3 1/16
Change to an improper fraction
3 /16 = (16*3+1)/ 16 =49/16
7/8 ÷49/16
Copy dot flip
7/8 * 16/49
Rewrite
7/49 * 16/8
Simplify
1/7 * 2/1
2/7
Subtract the equations 5x+4y= 25 -(5x+2y=3)
Ken built a 20 foot square fence in his back yard and planted a tree every 5 feet along the fence. How many trees did Ken plant?
Answer: 41
Step-by-step explanation:
Answer:
c:16
Step-by-step explanation:
How many inches are in a square foot?
Answer:
144 inches.
Step-by-step explanation:
One foot = 12 inches
One square foot = 144 inches.
Answer:
144
Step-by-step explanation:
Foot=12 inch
Square foot= foot times foot
Square foot= 12 inch times 12 inch
Square foot= 144 square inch.
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?
Answer:
4
Step-by-step explanation:
[tex]h(x)=x-7 \\\\g(x)=x^2 \\\\(g\circ h)(5)= (5-7)^2=(-2)^2=4[/tex]
Hope this helps!
Using composite functions, it is found that the equivalent expression at x = 5 is given by:
[tex](g \circ h)(5) = 4[/tex]
What is a composite function?A composite function is when a function is used as an input to another function, hence, that is:
[tex](g \circ h)(x) = g(h(x))[/tex].
In this problem, we have that the functions are given as follows:
h(x) = x - 7.g(x) = x².Then, the composite function is given by:
[tex](g \circ h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2[/tex].
We want to find the value of the composite function at x = 5, hence we have that:
(5 - 7)² = 4.
More can be learned about composite functions at https://brainly.com/question/17684028
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If h(x)=x-7and g(x)=x^2, which expression is equivalent to(g*h)(5)?
Answer:
(g*h)(5) is g(h)=x
Step-by-step explanation:
because if h(x)=x-7 and g(x)=x^2.
For each hour he babysit,Anderson earns 1$ more than half of carey's hourly rate.Anderson earns 6$ per hour. wich equation can be used to solve for carey's hourly rate,c?
Answer:
The expression to find Carey's hourly rate is: [tex]c = 2*a - 2[/tex]. Carey's hourly rate is $10.
Step-by-step explanation:
Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:
[tex]a = \frac{c}{2} + 1[/tex]
We want to find the Carey's rate, therefore we need to isolate the "c" variable.
[tex]\frac{c}{2} + 1 = a\\\frac{c}{2} = a - 1\\c = 2*a - 2[/tex]
Since Anderson earns $6, then we can find Carey's rate:
[tex]c = 2*6 - 2 = 12 - 2 = 10[/tex]
Answer:
A)
6 = c/2 + 1
Please answer the following:
CLASS 8 SPOT TEST
1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?
2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?
3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?
4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.
5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?
Step-by-step explanation:
1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Only these 5 are even: 2, 4, 6, 8, 10.
The probability on an even number is 5 / 10 = 0.5 = 50%
2. The total number of balls is 10.
5 WHITE, 4 BLACK AND 1 BLUE
The probability on a black ball is 4 / 10 = 0.4 = 40%
3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.
Only these 3 are odd: 1, 3, 5.
The probability on an odd number is 3 / 6 = 0.5 = 50%
4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.
5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.
(The total should always add up to 100%).
80 people were asked which was their favourite animal.
The pictogram shows the results.
The key is missing.
Cat
a)
Which animal was the least popular?
b)
How many people does
represent?
Dog
Giraffe DDI
Monkey D.
Dolphin
c)
How many more people preferred
giraffes than dogs?
Answer:
(a)Cat
(b)8 animals
(c)6 people
Step-by-step explanation:
From the attached diagram:
Let the [tex]\square[/tex] be x.
Half of [tex]\square[/tex] =x/2
From the pictogram, we then have:
[tex]Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x[/tex]
Therefore:
[tex]x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8[/tex]
So we have the following numbers
[tex]Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24[/tex]
(a)Cat was the least popular
(b) [tex]\square[/tex] represents 8 animals
(c)
Number of People who preferred giraffe=20
Number of People who preferred dogs=14
Difference=20-14=6
Therefore, 6 more people preferred giraffes than dogs.
A pictogram is a simple drawing that represents something
(a). Cat is least popular animal
(b)Total 8 complete square in given pictogram represented 64 people.
(c) 6 more people preferred giraffes than dogs.
Let us consider that a large complete square represented by variable y .
Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.
It means, Peoples who like cat = [tex]y+\frac{y}{4}[/tex]
Similarly,
People who like dog = [tex]y+\frac{3}{4}y[/tex]
Peoples who like Giraffe = [tex]2y+\frac{y}{2}[/tex]
Peoples who like monkey = [tex]y+\frac{y}{2}[/tex]
Peoples who like Dolphin = [tex]3y[/tex]
Since, total people = 80
Therefore,
[tex]y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8[/tex]
So, a complete large square is equivalent to 8 peoples.
Peoples who like giraffes = [tex]2y+\frac{y}{2}=2(8)+\frac{8}{2}=20[/tex]
Peoples who like dog = [tex]y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14[/tex]
So, 20 - 14 =6 more people preferred giraffes than dogs.
Thus,
(a) Cat is least popular animal
(b)Total 8 complete square in given pictogram represented 64 people.
(c) 6 more people preferred giraffes than dogs.
Learn more:
https://brainly.com/question/23021563
Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??
Answer:
The correct answer is -$1,209.85-verified by Edg. Thank you.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship between number and the cost is a proportional relationship by making a table of tickets for 1 to 5 tickets. Show your work. Number of Tickets 1 2 3 4 5 Total Cost ($) What is the constant of proportionality, k? Write and Equation for the relationship. (Remember to state what the variables represent)
Answer:
k=27y=27xStep-by-step explanation:
3 tickets to attend an Off-Broadway show cost $81,
4 tickets cost $108; and
5 tickets cost $135.
Let the price of a ticket=k
Therefore:
3k=814k=1085k=135Solving any of the equation above gives: x=27
We therefore have:
[tex]\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|[/tex]
Let y be the total cost of x tickets
From the above, the constant of proportionality, k=27An equation for the relationship is therefore:
y=27x (where x is the number of tickets and y is the total costs (in $)).
In RST, the measure of
Answer:
27.5 degrees
Step-by-step explanation:
First, choose which method would work in this problem, SOH, CAH, or TOA.
We have opposite, O and adjacent, A. So we have an O and an A.
Thus, we should use TOA.
Tangent x = 44/84
Tangent x= 0.52
x= Tangent^-1 (0.52)
x=27.5 degrees
Answer:27.6
Step-by-step explanation:
James has a bicycle. Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions. How far does the bicycle travel? Give your answer in metres.
Answer: 21.21 meters
Step-by-step explanation:
Hi, to answer this, first we have to calculate the circumference (C) of the wheel:
C = π x diameter
Replacing with the values given:
C = π x 45 = 141.37 cm
Then we multiply it by the number of revolutions:
141.37 x 15 = 2,120.6 cm
Since
1 cm = 0.01 m
2,120.6 x 0.01 = 21.21 meters
Feel free to ask for more if needed or if you did not understand something.
If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)
Answer:
5
Step-by-step explanation:
To evaluate (g ￮ h)(9), evaluate h(9) , then use this value to evaluate g(x)
h(9) = [tex]\sqrt{9}[/tex] = 3, then
g(3) = 2(3) - 1 = 6 - 1 = 5
Find the area of the shaded region. Can I have the steps explained please?
Answer:
76.3 cm²
Step-by-step explanation:
step 1
area of circle= πr²= 3.14*5²= 78.6 cm²step 2
area of 60° sector= 60/360*area of circle= 1/6*78.6= 13.1 cm²step 3
Area of equilateral triangle = √3/4a²= √3/4*5²= 10.83 cm²step 4
Area of circle - area of sector + area of triangle= 78.6 - 13.1 + 10.8= 76.3 cm²If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)
Answer:
14
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x) - g(x)
= 3x² + 1 - (1 - x)
= 3x² + 1 - 1 + x
= 3x² + x , thus
(f - g)(2)
= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14
Please help ASAP! Correct answer only! I need to finish this assignment today.
There are 9 college students running for student government class president. The candidates include 5 biology majors.
If 5 of the candidates are randomly chosen to give the first 5 speeches, what is the probability that exactly 3 of the chosen candidates are biology majors?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.4762
Step-by-step explanation:
There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...
60/126 ≈ 0.4762
__
nCk = n!/(k!(n-k)!)
Which property allows you to write the expression
(3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?
Answer:
3+7i
Step-by-step explanation:
Answer:
Associative
Step-by-step explanation:
I got it on edge hope ur not as far behind as me boys
factorise 32 x cube minus 8 y square
Answer: [tex]8(4x^3-y^2)[/tex]
Step-by-step explanation:
[tex]32x^3-8y^2[/tex]
[tex]8(4x^3-y^2)[/tex]
Help pls! I ended up getting the wrong answer, so an explanation would help! (:
Answer:
4p squared - 28pqStep-by-step explanation:
4p(p−7q)
=(4p)(p+−7q)
=(4p)(p)+(4p)(−7q)
=4p squared −28pq
What is the answer to 2(5x+4)=8
Answer:
So first we have 10x = 0. We divide by 10 on both sides, so then we get x = 0. We still have 0 because 0/10 = 0.
So that means that the answer is
Write 10 in the first box 10 in the secondx=0Answer:
? = 10
Step-by-step explanation:
2(5x+4)=8 - DISTRIBUTE
= 10x + 8 = 8
10x + 8 = 8
- 8
10x = 0
10x/10 = 0/10
x = 0
Lou's Shoes is having its annual Flag Day Sale and is offering a 25% discount on all regularly priced shoes. Kayla spends $13.50 buying sandals and sneakers. Determine which equation represents how much Kayla will spend on sandals after the discount. $13.50 = 0.75(x + 10) $13.50 – 10 = 0.75x $13.50 + 10 = 0.75x $13.50 = 0.25(x + 10)
Answer:
13.50=0.75(x+10)
Step-by-step explanation:
From the options given, it seems the price of either of Sandals or sneakers is given as 10 and the other is x
If Price of Sandals or sneakers=x
And the price of the other one is 10
Total price=(x+10)
25% discount is given
So she will pay 75% of the total cost
75%=0.75
Total cost =$13.50
She would pay 75% of (x+10)
Which is
0.75(x+10)=13.50
13.50=0.75(x+10)
Answer:
The answer is $13.50 = 0.75(x + 10)
Step-by-step explanation:
I am doing the assignment right now
Your Welcome :)
How fast did the truck consume its fuel?
Pro
Choose 1 answer:
Tea
60 liters per kilometer
0.6 liters per kilometer
40 liters per kilometer
0.4 liters per kilometer
Answer: 0.6 liters per kilometer
Step-by-step explanation:
(A) 475L - 50km
(B) 375L - 200km
Subtract liters.
475-375=100L
Subtract km
200-50=150km
Divide liters per km
100/150=0.6L/km
The diameter of a bicycle wheel is 50 cm. How many complete rotations does it make over a distance of 3km?
Answer:
47.12388
Step-by-step explanation:
Wheel Diameter = Wheel 2 x Radius; 50 cm / 2 = 25 cm.
For one rotation of the wheel, the distance travelled = circumference of the wheel.
Circumference = 2 x pi x radius = 2 x 3.1415926858 x 25 cm = 157.07 cm approx.
Distance travelled with 30 turns of the wheel = 30 x 157.07 = 4712.39cm approx.
Distance in meters = 4712.39cm / 100 = 47.12388 meters approximate (1 cm = 1/100th of a meter).
hope it helps you
The requried bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.
What is the circumference?The circumference of the bicycle wheel is equal to its diameter multiplied by π (pi).
Here
Circumference = diameter x π = 50 cm x 3.14 ≈ 157 cm
To find the number of rotations, we need to divide the distance traveled by the circumference of one rotation:
Number of rotations = Distance ÷ Circumference
Number of rotations = 300000cm ÷ 157 cm = (3000 m ÷ 157 cm) ÷ (100 cm ÷ 1 m) = 1910.82
Therefore, the bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.
Learn more about circumference here:
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Which expression is equivalent to -36 – 8?
Choose 1 answer:
A.36 + 8
B.-36 + (-8)
C.8 – 36
D.-8+36
Answer:B
Step-by-step explanation:
-36 – 8=-44
36+8=44
-36 + (-8)=-44
8 – 36=-28
-8+36=28
As you can see only B equals -44 just like the expression given,
Hope my explanation helps
Simplify square root of c^2d^6 / square root of 4c^3d^-4
a. d^2 / 2 square root c
b. d^5 / 2 square root c
c. d^5 / 2-c
d. d^2 / 4c
Answer: B on ed, i just took my test
Step-by-step explanation:
Answer:
on edge 2021
Step-by-step explanation:
just took the test :)
Divide 21a^3-14a by -7
Answer:
A
Step-by-step explanation:
[tex]\dfrac{21a^3-14a}{-7}= \\\\\\\dfrac{-7(-3a^3+2a)}{-7}= \\\\\\-3a^3+2a[/tex]
Hope this helps!