Determine the value of
f(2) when
f(x)=x² - 5x+2
Answer:
-4
Step-by-step explanation:
Substitute [tex]x = 2[/tex] in to the function
[tex]f(2) = 2^2 -5(2) + 2[/tex]
= -4
What is the frequency of a wave with a period of 0.2 seconds?
Answer: 5 Hz
The frequency is the inverse of period... Them:
[tex]f=\frac{1}{T}=\frac{1}{0.2}=5 Hz[/tex]
Uma lousa digital possui uma forma retangular e tem sua largura expressa pelo polinômio b+2. Sendo sua área igual ao polinômio B ao quadrado + 5b+ 6, qual é o polinômio que expressa a altura dessa lousa?
Answer:
b+3
Step-by-step explanation:
Largura : b+2
Área: b² +5b +6
Sabe-se que a área de um retângulo é dada pela largura multiplicada pela altura.
A partir dos zeros da equação da área é possível encontrar o polinômio da altura:
[tex]b^2 +5b +6\\b=\frac{-5\pm \sqrt{25-4*1*6} }{2} \\b'=-2\\b''=-3[/tex]
Visto que o polinômio da largura é b+2, para que a equação da área seja válida, o polinômio da altura deve ser b+3.
A prova pode ser feita pela multiplicação dos polinômios:
[tex]A = L*H\\A=(b+2)*(b+3)\\A=b^2+5b+6[/tex]
I’m kinda stuck on this, could anyone explain it ?
The slope of the given line is -3/4.
Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.
Use the given point and the point-slope formula to get the equation of the particular line:
y - (-1) = 4/3 * (x - 0)
y + 1 = 4x/3
y = 4x/3 - 1
y=-5y=−5 Evaluate this expression: 3y+6=3y+6=
Answer: 3y+6
Step-by-step explanation:
factorise 6 x ^2 + 17 X + 5
Answer:
( 3x + 1) (2x+5)
Step-by-step explanation:
6 x ^2 + 17 X + 5
We break the 6 into 3 and 2
(3x ) (2x )
We need the middle term to be 17
( 3x + 1) (2x+5)
3*5+2 = 17 so it works
What should be done first to simplify 11 – 2 + 7 + 5 – 8 + 13
Answer:
I think the first step is to group all the addition first and then you do the subtraction.
Answer:
Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.
Step-by-step explanation:
so ti will be;
2+7+5-8+13
27-8
21
Answer the following Questions
Which of the following points lie on the x-axis?
A(1, 1), B (1.0). c (0,1)D (0,0), E (-1,0), F (0-1), G (4,0), H (0,7)
Answer:
B, D, E and G lies on X axis
At Central Online High School, 45/100 of the students have a dog, 30/100 of the students have a cat, and 18/100 of the students have both a dog and a cat. What is the probability that students who have a cat also have a dog?
Answer:
6/15Step-by-step explanation:
18/30 becuase 30 have a cat and 18 have both.
18/30 = 6/15
I'm always happy to help :)
Find x in this proportion. x/3 = x+2/5 x =
[tex]x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps[/tex]
what is the solution to the equation x-16=-8
Answer:
x = 8
Step-by-step explanation:
8 minus 16 equals to a negative answer, resulting to -8.
Answer:
x = 8
Step-by-step explanation:
Add 16 to both sides of the equation.
x = −8 + 16
Add − 8 and 16
x = 8
HELP ANYONE PLEASE RIGHT ANSER ?!
Answer:
B.
Step-by-step explanation:
They all are alternating interior angles so they'll be congruent.
Answer:
B. Alternating interior angles are congruent
Step-by-step explanation:
The angles that are in the statements are all interior angles. When compared to each other, they lie on opposite sides of the transversal.
how many servings are in 8 liters of honey if one serving is 1/4 of a liter?
Answer:
32 servings
Step-by-step explanation:
Take the amount of honey and divide by the size of a serving
8 ÷ (1/4)
Copy dot flip
8 * 4/1
32
There are 32 servings
Answer:
32 servings
Step-by-step explanation:
How many two-digit primes have both their digits non-prime?
Answer:
89
Step-by-step explanation:
8 is divisible by 4
And 9 is divisible by 3
Please answer (-3+4)2 and another one is -5(4-2) I need answers to both pleaseee
Answer:
Step-by-step explanation:
Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.
1.)3 x 2 + 3 x 8 = 24
Now that you got the steps down, ima do the rest in my head
2.) 2
3.) -10
4.) -50
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = ab + ac
a(b - c) = ab - ac
1) 3(2 + 8) = 3*2 + 3*8
= 6 + 24
= 30
2) (-3 + 4)2 = -3*2 + 4*2
= -6 + 8
= 2
3) -5(4 - 2) = -5*4 - (-5)*2
= - 20 + 10
= -10
4)(12 +13)(-2) = 12*(-2) + 13 *(-2)
= -24 - 26
= -50
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table. The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer: 10.2
Step-by-step explanation:
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Evelyn wants to cover the top of a circular table with a price of cork board to protect it from spills. How much cork board will Evelyn need to completely cover the table if the diameter of the table is 48 inches?
Select ALL that apply. (possible answers on image)
Answer:
576π in² and 1,809 in².
Step-by-step explanation:
To find the answer, the formula for the area of a circle, or A = πr², will need to be used.
In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:
48/2 = 24 inches.
Now, plugging this into the equation for the Area of a Circle, gets us:
A = π24²
A = 576π or 1808.64 in².
Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)
This formula v = u + at, links:
initial velocity (u)
final velocity (v)
acceleration (a)
time (t)
What is the value of v if u = 5, a = 10 and t = 2?
Answer:
[tex]v=u+at[/tex]
[tex]v= 5+(10)\times2\\v=25[/tex]
Urgent! Please help fast! Estimate using mental math: 903.6 ÷ 29.1. Show how you would estimate mentally, then show your estimated answer.
Answer:
31
Step-by-step explanation:
I would use my fingers mostly.
But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.
903.6 divided by 29.1
Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.
I hope this helps. I'm sorry if you get this wrong.
Answer:
30
Step-by-step explanation:
Round 903.6 to 900 and 29.1 to 30
So 900/30
= 30
This would be my estimated answer
Also 30^2
= 900
what are the values a b and c in the quadratic equation 0 equals 5x - 4x^2- 2
Answer:
A: -4
B: 5
C: -2
Step-by-step explanation:
The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.
-4x²+5x-2
Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.
A: -4
B: 5
C: -2
If x = 4 and y = 8 , evaluate the following expression: x/y Give your answer as a fraction in its simplest form.
Answer:
X/Y = 4/8= 1/2
Step-by-step explanation:
This is the answer of this question
this question is my thing
Answer:
Below
Step-by-step explanation:
8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1
Suppose that you placed $500 in a bank account at the end of each year for the next 10 years. How much would be in that account at the end of the tenth year if the deposits earned an annual rate of return of 8% each year?
Answer:
5400$
Step-by-step explanation:
First, you need to figure out 8% of 500$.
That is 40$.
Now, you need to multiply 500 by 10, because there are 10 years.
That is 5000$
Now, we need to add the 8% that was added each year. So we do 40$ times 10. 400$
Then we add the 5000 and 400.
The answer is 5400$
I really hope this helped you! So sorry if it doesn't!
how is converting percentages to and from fractions and decimals used in daily life
Answer & Step-by-step explanation:
We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.
How do I post a picture
Answer:
Go to me. Click on your profile picture then click on your profile picture again to change it
What is true of the given function? The function increases at a constant additive rate. The function increases at a constant multiplicative rate. The function has an initial value of 0. As each x value increases by 1, the y values increase by 1.
Answer;
Option B is correct.
The function increases at a constant multiplicative rate.
Step-by-step Explanation:
Complete Question
A table representing the function f(x) = 2(3/2)ˣ is shown below. What is true of the given function?
x | f(x)
0 | 2
1 | 3
2 | 4.5
3 | 6.75
a) The function increases at a constant additive rate.
b) The function increases at a constant multiplicative rate.
c) The function has an initial value of 0.
d) As each x value increases by 1, the y values increase by 1.
Solution
The function provided is
f(x) = 2(3/2)ˣ
We will take as h of the options one at a time to investigate which one is true.
a) The function increases at a constant additive rate.
A function that increases at an additive rate is one whose value as x increases, also changes with a constant difference between consecutive terms. That is, the consecutive terms of the functions for consecutive whole number values of x, will be like an Arithmetic progression with a constant common difference. If this function increased at an additive rate,
f(1) - f(0) = f(2) - f(1) = f(3) - f(2)
Inserting the values
3 - 2 = 4 5 - 3 = 6.75 - 4.5
1 ≠ 1.5 ≠ 2.25
Hence, this statement isn't true.
b) The function increases at a constant multiplicative rate.
For the function to increase at a multiplicative rate, the consecutive terms of the functions for consecutive whole number values of x will behave like a geometric progression with a common ratio. That is, the division of the (n+1)th term and the nth term of the function will always be a constant. That is,
f(1) ÷ f(0) = f(2) ÷ f(1) = f(3) ÷ f(2)
Inserting the values
(3/2) = (4.5/3) = (6 75/4.5)
1.5 = 1.5 = 1.5
The ratio is truly constant, hence, we can conclude that this statement is true and the function increases at a constant multiplicative rate.
c) The function has an initial value of 0.
For this to be true, f(0) = 0.
But from the table, it is evident that f(0) = 2, hence, the initial value of the function isn't 0 and this statement is false.
d) As each x value increases by 1, the y values increase by 1.
We've already checked the difference between consecutive terms of the functions for consecutive whole number values of x, the difference includes, 1, 1.5 and 2.25. Hence, as each x value increases by 1, the y values do NOT always increase by 1 and this statement is false.
Hope this Helps!!!
Answer:
B
Step-by-step explanation:
What is the x-value of the vertex?
f(x)=(x+2)^2−1
x-value of the vertex:
Answer:
-2
Step-by-step explanation:
x-value of the vertex is -2.
What is vertex form of parabola?The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola [tex]y=a(x - h)^{2} + k.[/tex]
Given
[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)
The vertex formula helps to find the vertex coordinates of a parabola.
The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]
The vertex form of the parabola [tex]y=a(x - h)^{2} + k.[/tex]
By comparing vertex form of parabola in equation 1
a = 1, h = -2 , k = -1
Hence, x-value of the vertex is -2
Learn more about vertex form of parabola here
https://brainly.com/question/20333425
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please answer asap! A couple plans to have 5 children. The gender of each child is equally likely. Design a simulation involving 125 trials that you can use to model the genders of the children. Write your answers as numbers.
Step-by-step explanation:
The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.
Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.
What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.
Doing this 125 times, we obtain the number of trials we desire.
For each trial, we get for each child, C:
C1: X + (X or Y)
C2: X + (X or Y)
C3: X + (X or Y)
C4: X + (X or Y)
C5: X + (X or Y)
Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.
PLEASE HELP IM STRUGGLING here is a rectangle all the measurements are in centimeters
The perimeter of the rectangle is 39cm
Work out the area of the rectangle
Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
7. A shopkeeper can buy 36 toys for $20.52. What will be
for 120 toys?
Answer:
$68.40
Step-by-step explanation:
Let x represent the required cost.
Since the number of toys is directly proportional to the cost:
x : $20.52 = 120 : 36
i.e. x/$20.52 = 120/36
x = ([tex]\frac{120 * $20.52}[/tex])/36
x = $2462.40/36
x = $68.40
Hope this helps!!!