Answer:
it should be p=14,x=16,12
The roots of the equations are 2 and 6.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the quadratic equation is x² - (4 + p)x + 12= 0.
Let the roots of the quadratic equation be a and b.
If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.
Therefore,
a + b = -(4 + p) (1)
ab = 12 (2)
Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)
3b(b) = 12
3b² = 12
b² = 4
b = 2
Therefore, the value of a is:
a= 3(2)
a = 6
Hence, the roots of the equations are 2 and 6.
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find the highest common factor of 63 and 81 please no links
Sam had 2/3 of a pie and gave Joe 1/2 of what he had. What fraction of the whole pie does Joe have?
Answer:
1/6
Step-by-step explanation:
He has 2/3 of a pie, and half of that is gonna be 1/3. If he gives away 1/3, 2/3-1/3=1/6 left because its not a fraction of his original piece that the question is asking for, but the whole pie
2. A CD is marked with a sale sticker saying it is 56% off. The original price is $10.17. What is the sale price?
Answer:
4.4748
Step-by-step explanation:
$10.17- 56% = $4.4748
just round it of to 2 decimals
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.
Approximately what percentage of the pine trees in this forest are taller than 100 feet?
Answer:
4%
Step-by-step explanation:
PLATO users
4% of the pine trees in this forest are taller than 100 feet.
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet. Approximately what percentage of the pine trees in this forest are taller than 100 feet to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
raw score x = 100 , mean = 86 standard deviation = 8,
The probability of pine trees in the forest being taller than 100 ft is given as,
p = p( x > 100)
[tex]P =P[z = \frac{X - \mu}{\sigma}][/tex]
P = z [ (100-86)/8 ]
P = z [1.5]
P = 0.04004
P = 4.04%
Thus, 4% of the pine trees in this forest are taller than 100 feet.
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1/8 divided by 5 pls help
Answer:
1/40
Step-by-step explanation:
Answer:
decimal form- 0.025
fraction form- 1/40
Step-by-step explanation:
Decrease £140 by 22%
Answer:
109.2
Step-by-step explanation:
math
ΔRST~ΔUVW. If ST=36 inches, UV=45 inches, and VW=18 inches, what is the length of RS?
Answer:
hi
Step-by-step explanation:
2+2(8)-12=
whats the answer?
Answer:
2 + 2(8) - 12 =?
2 + 16 - 12 =?
2 + 4 = 6.
Answer:
[tex]2 + 2(8) - 12 \\ = 2 + 16 - 12 \\ = 2 + 4 \\ = 6 \\ \\ 6 \: is \: the \: correct \: answer[/tex]
Hope it helps!
In how many ways can 21 be expressed as the sum of 3 prime numbers?
Answer:
I think by using a prime factor tree
Which function represents a quantity growing exponentially?
A y = 2(0.5)^x
B y = 0.5(2)^x
C y = 2(0.5)^2X
D y = (1/5)^x
Answer: [tex]ay=2(0.5^{x})[/tex]
Step-by-step explanation:
A y = 2(0.5)^x
Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Vo's 8th grade math class?
Answer:
36. There are 36 students in the class.
Step-by-step explanation:
4/12 oatmeal
2/12 cinnamon
3/12 chocolate
9 peanut
The fractions added together = 9/12
This means the 9 students = 3/12 of the class
3 x 4 = 12
9 x 4 = 36
I need some help with this
Surface area formula
of a parallelogram prism
Find the value of x.
75°
36°
Answer:
111 is X
Step-by-step explanation:
So the theroum for any extended angle is to add the two opposite angles.
So if you add the 2 numbers is suppose to be X.
75+36=111
Thats it
Answers please and explain
Answer:
34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter
Step-by-step explanation:
type it in the calculator bc i dont have mine rn
Answer:
102
Step-by-step explanation:
Well it says use 3 instead of pi. So (3)(34)
Which is 102
Find the area of the shape below. 5yd 7yd
Answer:
45.99 yd²
Step-by-step explanation:
The square is 5 yd × 7 yd
35 yd²
The circle = 2 × pi × radius
2 × 3.14 × 3.5
21.99115 rounds to 21.98 yd²
Since it is have a circle,
21.98 yd² ÷ 2
10.99 yd²
35 yd² + 10.99 yd²
45.99 yd²
If you make $30 every 10 seconds how much would you make in an hour?
Answer:
$10800
Step-by-step explanation:
Answer:
10800
Step-by-step explanation:
but this person is super rich
EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS
How is X - 5 mathematically different from x > 5?
INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST
Answer:
The result is different
Step-by-step explanation:
Hope this helps
a shipping company charges a cost per pound plus a fixed fee to ship a package. The total cost, f(x), in dollars, of shipping x pounds is modeled by the function shown. f (x) = 4.99x + 5.75 which part of the function represents the fixed fee
Answer:
5.75
Step-by-step explanation:
Think about it like this, which number is changing with "X" ? Obviously the total f(x) and the number being multiplied by x (the slope) 4.99 so the fixed number is 5.75
The temperature of a city in Europe dropped from -4°C to -11°C.What was the rise in temperature?
Answer:
7 degrees
Step-by-step explanation:
for 20 points and brainliest
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
Answer:
376.99in³
Step-by-step explanation:
no proof but a g00gle calculator, you're just gonna have to trust me on this one
Answer:
SA = 376.8 in²
Step-by-step explanation:
area of top:
π4² = 50.24 in²
50.24 x 2 = 100.48 in² (for both ends)
area of side:
circumference = 2 x 4 x π = 25.12 in
area = 25.12 x 11 = 276.32 in²
276.32 + 100.48 = 376.8 in²
A rectangular shelf with an area equal to x^2-16x+60 square units could have which possible dimensions for length and width
Answer:
Step-by-step explanation:
x²-16x+60
=x²-6x-10x+60
=x(x-6)-10(x-6)
=(x-6)(x-10)
so dimensions are x-6 and x-10.
giving brainliest !! easy
Answer:
1664
Step-by-step explanation:
400x2+480+192x2
A gift box has the shape of a cube with an edge length of 4.5 in.
What is the volume of the gift box?
Enter your answer in the box.
in3
Considering the provided information in the given question we have,
A gift box is in the shape of a cube.Length of each edge = 4.5 inWe need to find the volume of the gift box. Since it is in the shape of a cube, we wee need to apply the formula of the volume of a cube. We know that,
→ Volume of cube = l × l × l
→ Volume of cube = 4.5 in × 4.5 in × 4.5 in
→ Volume of cube = [tex] \sf 91.125 \: in^3 [/tex]
Therefore, volume of the gift box is [tex] \bf 91.125 \: in^3 [/tex].
A water storage tank is cone shaped. The radius of the tank is 20 feet and the height of the tank is 35 feet.
Study the figure below...
20 feet...
35 feet...
Which measurement represents the volume of the water storage tank
Answer:
50 multiple times an
56009*%56556Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.y=69(0.92)
x
9514 1404 393
Answer:
decay; 8% decrease per time period
Step-by-step explanation:
The growth factor is the base of the exponential term. The growth rate is 1 less.
growth rate = 0.92 -1 = -0.08 = -8%
When the growth rate is negative, it is exponential decay withe the amount of decrease equal to the magnitude of the rate.
A growth rate of -8% represents exponential decay, with a decrease of 8% per time period.
You buy a computer for $749 and a printer for $99 You must also
pay sales tax which is 6% of the cost of your purchases. What is the
total amount paid, including sales tax?
Answer:
$898.88
Step-by-step explanation:
Solve for x using
multiplication.
cross
X - 2
x3
x + 2
=
4
3
x = [?]
Answer:
x = 14Step-by-step explanation:
[tex] \frac{x - 2}{3} = \frac{x + 2}{4} [/tex]
=> 4(x-2) = 3(x+2) [Cross Multiplication]
=> 4x - 8 = 3x + 6
=> 4x - 3x = 8 + 6
=> x = 14 (Ans)
Help asappp pleaseeee
Answer:
117 degrees
Step-by-step explanation:
Two vertical angles will always equal each other.
So, set up an equation where angle A and angle B equal each other to solve for x:
5x - 3 = 4x + 21
5x = 4x + 24
x = 24
Plug in 24 for x in the expression represent angle A:
5(24) - 3
120 - 3
117
Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?
Answer:
Incorrect
Step-by-step explanation:
Well since there is only 18 cups of dog food he will only be able to feed his dog for 18 days since he feeds his dog 1 cup a day.
Answer:
Incorrect
Explanation:
Maxwell's dog eats one cup of food a day. The bag contains only eighteen cups, so it will feed the dog for eighteen days. There will not be enough food to last Maxwell for 27 days. So, the answer is incorrect.