Answer:
The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).
Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil
Binary: 0
2
Hexadecimal: 0
16
Step-by-step explanation:
Write the equation of the quadratic function whose graph passes through [tex](-3,2)[/tex], [tex](-1,0)[/tex], and [tex](1,6)[/tex].
Answer:
[tex]f(x)=x^2+3x+2[/tex]
Step-by-step explanation:
We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).
Remember that the standard quadratic function is given by:
[tex]f(x)=ax^2+bx+c[/tex]
Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:
[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]
Simplify:
[tex]2=9a-3b+c[/tex]
Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:
[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]
And for (1, 6):
[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]
So, we have a triple system of equations:
[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]
We can solve this using elimination.
Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:
[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]
Compute:
[tex]6=2a+2c[/tex]
Let's divide both sides by 2:
[tex]3=a+c[/tex]
Now, let's eliminate b again but we will use Equation 1 and 2.
Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:
[tex]-3(0)=-3(a-b+c)[/tex]
Multiply:
[tex]0=-3a+3b-3c[/tex]
Add this to Equation 1:
[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]
Compute:
[tex]2=6a-2c[/tex]
Again, we can divide both sides by 2:
[tex]1=3a-c[/tex]
So, we know have two equations with only two variables:
[tex]3=a+c\text{ and } 1=3a-c[/tex]
We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:
[tex](3+1)=(a+3a)+(c-c)[/tex]
Compute:
[tex]4=4a[/tex]
Solve for a:
[tex]a=1[/tex]
So, the value of a is 1.
Using either of the two equations, we can now find c. Let's use the first one. Hence:
[tex]3=a+c[/tex]
Substitute 1 for a and solve for c:
[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]
So, the value of c is 2.
Finally, using any of the three original equations, solve for b:
We can use Equation 3. Hence:
[tex]6=a+b+c[/tex]
Substitute in known values and solve for b:
[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]
Therefore, a=1, b=3, and c=2.
Hence, our quadratic function is:
[tex]f(x)=x^2+3x+2[/tex]
Parallel, Perpendicular or neither
Y=-2/5x+3 Y=2/5x+8
Answer:
Perpendicular
Step-by-step explanation:
The slopes are the same except one is negative therefore they are perpendicular
A box has 39kg mass? the surfcae are of the box
has 150m. calculate the pressure exterted by the box on the floor
Answer:
2.548 pascal
Step-by-step explanation:
force=mass×acceleration due to gravity
force=39×9.8
pressure(p)=force/area
p=382.2/150
p=2.548 pa
3(x + y) + 2x2 + (1 + y)?
Answer:
7x+4y+1
Don’t low if you wanted it simplified
Answer:
3x + 4y + 5
Step-by-step explanation:
3(x + y) + 2 • 2 + (1 + y)
3x + 3y + 2 • 2 + (1 + y)
3x + 4y + 4 + 1
3x + 4y + 5
A box contains 421 books. If your teacher orders 19 boxes of books, about how many books will arrive? Use estimation to find your answer. pls help !!!!!111!!
Answer:
I'ma say 440 sorry if I'm wrong
Step-by-step explanation:
Write a linear function f with the values f(0)=−3 and f(7)=11.
Answer: f(x)= 2x -3
Step-by-step explanation:
Using the given information we can come up with two points that will be use to find the slope and y-intercept.
If you input 0 you get -3 so the point will be (0,-3)
If you input 7 you get 11 so the point will be (7,11)
Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.
y coordinates: -3 - 11 = -14
x coordinates: 0 - 7 = -7
-14/-7 = 2
Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.
Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.
-3= 2(0) +b
-3 = 0 + b
b = -3
f(x) is the same as y in the formula, meaning that the equation will be
f(x) = 2x -3
Help me, please !!!!
A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the
A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.
Which expression represents the total cost of all of the pizzas they order?
Answer:
t = 8c + 12P
Step-by-step explanation:
We are told that cheese pizza(c) costs eight dollars.
This means for c number of cheese pizzas, cost is $8c
Also, we are told that cost of pepperoni pizza is $12 each.
So, for P number of pepperoni pizzas, the cost is $12P
Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.
Thus;
t = 8c + 12P
What is the solution to the system of equations graphed below?
On a coordinate plane, 2 lines intersect at (2, - 3).
(2, - 3)
(- 3, 2)
(- 2, 3)
(3, 2)
Answer:
(2,-3)
Step-by-step explanation:
When they intersect it called a solution
Hope its right
Write an
equation for the line in the given form.
slope is -3 and (6,8) is on the line; standard form
Yo
Answer:
Step-by-step explanation:
Negative3 is6,8
Answer:
Negative3 is6,8
Step-by-step explanation:
i know it
3x²=12 extracting square roots
Answer:
x = ± 2
Step-by-step explanation:
Given
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
help immediate i will mark you brainliest
Answer:
What's the question?
The side of an equilateral triangle is 14 meters. What is the height of the triangle?.
Answer:
14... since all of it is equal
Step-by-step explanation:
Question, write an expression representing the supplies needed. 1. She needs one mouse for each snake, plus two extra mice. How many mice are needed if the number of the snakesas: a. 10 b. 6 C. X
Answer:
a. 12 mice
b. 8 mice
c. (X + 2) mice
Step-by-step explanation:
Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.
Supply needed = N + L + 2
= 2N + 2 (∵ N = L)
So that:
Number of mice needed = N + 2
a. When the number of snake is 10, the number of mice needed would be:
Number of mice needed = 10 + 2
= 12
Number of mice needed is 12.
b. When the number of snake is 6, the number of mice needed would be:
Number of mice needed = 6 + 2
= 8
Number of mice needed is 8.
c. When the number of snake is X, the number of mice needed would be:
Number of mice needed = X + 2
ANSWER QUICK FOR BRAINIEST: When using scientific notation, a positive exponent means . . . the standard number is less than one the negative sign doesn't have a meaning None of the above the standard number is greater than one
Answer:
The standard number is greater than one. Negative means it's going to be .xxx
Answer:
Ste scientific notation, a positivep-by-step explanation:
A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation
Answer:
Step-by-step explanation:
Multiply the members of the revenue equation by 2:
system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29
Three linear equations in three unknowns. Solve.
The figure was created by repeatedly reflecting triangle NMP. A figure is created by continuously reflecting triangle N M P. The length of side N M is 6 inches, the length of side M P is 4 inches, and the length of side N P is 8 inches. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.
Answer:
42in
Step-by-step explanation:
just took quiz
Answer:
42 100% edg
Step-by-step explanation:
as we can see form the digram if you put it in a more relistic way 42 would dend up there for 42
1. Explain why 3(x + 4) = 3(x - 5) has no solution.
Answer:
There is no solution because they are not equal
Step-by-step explanation:
3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.
Hope this helps!
Un ascensor está en el segundo subsuelo, sube
seis pisos, luego baja cinco, vuelve a subir ocho
y finalmente baja trece. /En qué piso se quedó
Answer:
8th floor
Step-by-step explanation:
Because he went up twice
Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent
Answer:
Step-by-step explanation:
If the price after the discount is subtracted is $96.25 then this is what you do
u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75
but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25
The original price of the tire that Gary would have paid had it not been for the discount is $160.42
Gary spent $96.25 on a new tire but this tire had been discounted by 40%.
This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:
x - (x × 40%) = 96.25
x - 0.4x = 96.25
0.6x = 96.25
x = 96.25 / 0.6
x = $160.42
In conclusion, the original price was $160.42.
Find out more at https://brainly.com/question/2393942.
Witch fraction is not in simplest form 5/15 or 5/12
(2,-1),(4,5),(6,15),(8,29),(10,47) write a linear equation that represents y as a function of x
Answer:
Line ____ Ear
What is this one for factor to this?
I am stuck here, please help :(
Answers:
7 i think.
Step-by-step explanation:
please help! thank you.
Answer:
The first one is right
Step-by-step explanation:
Rico represents the inequality Negative 3 (StartFraction 8 over x minus 5 EndFraction greater-than negative 16) with the sentence "The product of –3 and the quotient of 8 and the difference of a number and 5 is at least –16." Which describes Rico's error?
Answer:
B
Step-by-step explanation:
Answer:
the option for ur question is b
How many isosceles triangles are in a rectangle
Answer
i'm not sure 2?'??????????
Help please I really need it thanks
Answer:
the last triangle
Step-by-step explanation:
the pythagorean theroem only works for right triangles. a right triangle is a triangle that has a 90 degree angle it the last one is the only one. so its d
pls mark branilest
Which expression is equivalent to 6(3x + 4)?
1: 18x + 4
2: 18x + 24
3: 9x + 10
4: 9x + 4
Answer:
2. 18x + 24
Step-by-step explanation:
Distribute the 6 to create 18x + 24
If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠BEF. (Lesson 2-7)
Answer:
m∠BEF = 65.3°
Step-by-step explanation:
Given:
m∠DEB = 27.2,
m∠DEF = 92.5
Required:
m∠BEF
SOLUTION:
Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.
Therefore:
m∠BEF + m∠DEB = m∠DEF (angle addition postulate)
m∠BEF + 27.2 = 92.5
Subtract 27.2 from each side
m∠BEF + 27.2 - 27.2 = 92.5 - 27.2
m∠BEF = 92.5 - 27.2
m∠BEF = 65.3°
Answer:
92.5 and 27.2 and 65.3 will be the answer.