Answer:
x^3
Step-by-step explanation:
The graph of a function f(x) passes through the following points:
(0,2), (1,0),(-1,0)
Which of the following could be f(x)?
O f(x) = - 2x2 + 2
O f(x) = 2x + 2
O f(x) = -27x + 2
O f(x) = - 2x + 2
Answer:
All of the them excluding f(x)=-27x+2
The required function is [tex]f(x)=-2x^2+2[/tex]. Hence, option a is correct.
Important information:
The graph of a function passes through the points (0,2), (1,0) and (-1,0).Quadratic function:The graph has two x-intercepts (1,0) and (-1,0). It means it is a quadratic function and [tex](x-1)[/tex] and [tex](x+1)[/tex] are two factors.
[tex]f(x)=a(x-1)(x+1)[/tex]
[tex]f(x)=a(x^2-1)[/tex] ...(i)
The graph passes through the point (0,2). Substitute [tex]x=0,f(x)=2[/tex] in the above function.
[tex]2=a(0^2-1)[/tex]
[tex]2=-a[/tex]
[tex]-2=a[/tex]
Substitute [tex]a=-2[/tex] in (i).
[tex]f(x)=-2(x^2-1)[/tex]
[tex]f(x)=-2x^2+2[/tex]
Therefore, the correct option is a.
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Find . =
Find lim x→5 f(x) if f(x) = {
Answer: -26
Step-by-step explanation:
edge 2021
whats -8 + 1????????
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
Find the range of the following details
find the value c that will make 9x^2 +30x+c a perfect square trinomial
Answer:
[tex] c = 25[/tex]
Step-by-step explanation:
Given :-
A quadratic equation is given to us.The equation is 9x² + 30x + c .And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,
Identity :-
[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]
Let's try to set the equation on this Identity .
The firsr term is 9x² . We can write it as ,
[tex]\implies 9x^2=(3x)^2[/tex]
Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .
[tex]\implies 30x = 2.3x.5 [/tex]
Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,
[tex]\implies 9x^2+30x + 5^2 \\\\\implies (3x)^2+2.3x.5 +5^2\\\\\implies (3x+5)^2[/tex]
Hence the value of c should be 25 .
-2a2-4a+16 cuando a=-2
Answer:
0
Step-by-step explanation:
-2 * -2 = 4
4 * 2 = 8
4 * -2 = -8 + 16 = 8
8-8 = 0
Write each as a decimal. State whether the decimal is repeating or terminating (1-7)
Write each decimal as a fraction (8-14)
No. 4 and 7 are mixed fractions
Answer:
0.625
0.035
etc.
Step-by-step explanation:
You just have to type the fraction in the calculator
Find the product.
(6a² + 4b) (a²- b)
On solving the provide question, we can say that - the quadratic equation [tex](6a^2 + 4b)(a^2 - b)[/tex] = -4
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here, we have
[tex](6a^2 + 4b)(a^2 - b)[/tex]
a = 0 and b = 1
-4
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Find the volume of the rectangular prism.
Answer:
1 1/2*3 1/2*5= 5 cm^3
Mr kirk has 6 boxes of 20 oranges how many does she have in total
Answer:
120
Step-by-step explanation:
6 x 20 = 120
What is the solution to the system of linear equations?
Answer:
C. (0, 2)
Step-by-step explanation:
The solution to the systems of linear equations is the coordinates of the point (x, y) where both lines of the equations intercept each other on the graph given.
Thus, the lines intercept at the point where when x = 0, y = 2.
Therefore, the solution = (0, 2).
Use the graph to complete the sentences about two runners.
Runner____is faster than Runner____.
Runner____has a head start.
Answer:
1.Runner A is faster than Runner B.
2.Runner B has a head start.
Step-by-step explanation:
1. Runner A is at a further position (has a higher y), when both A and B have the same X(time)
2.At an X of 0(start) B has a further position (higher X)
I hope this helps you :)! Have a nice day.
Before a renovation, a movie theater had 112 seats. After the renovation, the theater has 168 seats. What is the approximate
percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent
OA. 33.3%
ОВ.
50%
OC. 56%
OD. 20%
Which equation is part of the same fact family as 5 x 4 =20?
If a person making $6.50 gets a $0.70 raise, what is the percent increase? Round to the nearest tenth of a percent.
Answer:
10.8% increase
Step-by-step explanation:
($0.70/$6.50) x 100 = 10.769% = 10.8%
Hello how to work out this question
Answer:
angle x is 69. angle y is 69 as well
Step-by-step explanation:
Mr. Tompkins rode a bus that averaged 30 mph from his home to the airport, and
flew to another city at 250 mph. If his total trip was 670 miles and it took him four
hours of traveling time, how many miles does he live from the airport?
Therefore, Mr. Tompkins lives 240 miles from the airport.
Define acceleration.Acceleration is the rate of change of velocity of an object. It is a vector quantity that has both magnitude and direction. Mathematically, it is the derivative of velocity with respect to time. In simpler terms, it is the change in speed or direction of an object over time.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position. It has both magnitude and direction. The magnitude of velocity is the speed of an object, which is the distance covered per unit of time.
We can start solving the problem by using the formula: distance = speed x time.
Let x be the distance from Mr. Tompkins' home to the airport in miles.
Therefore, the distance from the airport to the other city is (670 - x) miles
we know that the total traveling time is 4 hours
so we can set up two equations:
x/30 + (670 - x)/250 = 4
x + (670 - x)/8 = 120
we can solve for x
x = 240 miles
Therefore, Mr. Tompkins lives 240 miles from the airport.
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Help please I’ll give extra points
Answer:
56
Step-by-step explanation:
180-124 ....................
A factory that makes nails uses 675 inches of metal to make 450 nails. At this rate, how many inches of metal is needed to make 1 nail?
Answer:1.5 inches
Step-by-step explanation:
What is the volume of a cone with a radius of 5 inches and a helght of 12 inches ? (Use 3.14 for pi)
Answer:
Same Class lol
Step-by-step explanation:
Which expression is equivalent to log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?
The equivalent expression of log₁₂(x⁴√x³) - 2(x+1)⁵ is 11/2log₁₂(x) - 2(x+1)⁵
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?
Express properly
So, we have the following representation
log₁₂(x⁴√x³) - 2(x+1)⁵
Evaluate the exponent
log₁₂(√x¹¹) - 2(x+1)⁵
Apply the power rule of logarithm
This gives
11/2log₁₂(x) - 2(x+1)⁵
Hence, the equivalent expression is 11/2log₁₂(x) - 2(x+1)⁵
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Simplify –3V/24 + 5/32 - 7/54 + 8 50.
Solve
3x 2 2x 5 1 x
—— —— ——
4 3 6
Answer:
6x/4×10x/3× x/6
5x^3/6
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Find the area of the shaded region.
40 ft
16 ft
14 ft
10 ft
Answer:
Area = 780 ft²
Step-by-step explanation:
Area of the shaded region = area of rectangle A + area of rectangle B
Area of rectangle A = L*W
L = 40 ft
W = 16 ft
Area of rectangle A = 40*16 = 640 ft²
Area of rectangle B = L*W
L = 10 ft
W = 14 ft
Area of rectangle B = 10*14 = 140 ft²
Area of the shaded region = 640 + 140 = 780 ft²
plz help me 5th grade work
Answer:
228 chocolate chips
Step-by-step explanation:
I don't really know the methods you used because I didn't use them in 5th grade. But the answer is 228 chips.
38 + 38 + 38 + 38 + 38 + 38 = 228
Answer:
1. 6x30 = 180
6x8 = 48
180+48 = 228
2. 38 x 6 = 228
HURRY ASAP PLEASE!!! WORTH 20 POINTS! YOU WILL ALSO GET BRAINLYEST!
Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club. Her sample space includes all 52 cards in a standard deck. Which of these outcomes compose the event?
Answer:
someone deleted ur ans from y question can you please write it again
thank you.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
"what is the median of the following values 9,9,2,8,11,6,4"
Answer: 8
Step-by-step explanation:
Arrange the data in ascending order, and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Rearrange 9, 9, 2, 8, 11, 6, 4 in ascending order:
2, 4, 6, 8, 9, 9, 11
The number eight appears to be in the very middle, therefore it is the median.
what is the value of y when
-5= y-7 over 9
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Help me please?!?!? Giving brainly!
21, 19, 25, 23
Step-by-step explanation:
I hope this helps!
Answer: it's the third answer
Step-by-step explanation: + 6 then -2