Answer:
option (4)
Step-by-step explanation:
The general form of a quadratic function is given by :
[tex]f (x) = ax^ 2 + bx + c[/tex]
Where a,b and c are real numbers and a is nonzero.
Option (1)
[tex]f (x) = 3x^ 2 + 12x + 5[/tex]
It is a quadratic function. Here, a = 3, b = 12 and c = 5
Option (2),
[tex]f (x) = x^ 2 + x + 1[/tex]
It is a quadratic function where a = 1, b = 1 and c =1
Option (3),
[tex]f(x)=5x^ 2 + 8x[/tex]
It can also be written as :
[tex]f(x)=5x^ 2 + 8x+0[/tex]
It is a quadratic function where a = 5, b = 8 and c = 0
Option (4),
It can also be written as :
f(x) = 5x + 3
It is a linear function. It is not a quadratic function.
Hence, option (4) is the correct option. It is not a quadratic function.
1. The length of the base of an isosceles triangle is y. The length of a leg is 3y+2. The perimeter of the triangle is 46. Find y.
Step-by-step explanation:
Length of the base = y
Length of a side = 3y + 2
Length of the third side= 3y + 2 (Isosceles triangle)
Perimeter = Sum of all sides
46 = y + 3y + 2 + 3y + 2
46 = y + 2(3y +2)
46 = y + 6y + 4
46 = 7y + 4
46 - 4 = 7y
42 = 7y
42/7 = y
6 = y
Therefore, the length of the base is 6
The triangle and the rectangle have the same area explain why
Answer:
w=2.5
Step-by-step explanation:
this is because to find the area of a triangle you have to multiply base times height divided by 2 therefore if you want the rectangles have the same area of the triangle the with must be 2.5 this way you will get the same area as the triangle
proof
5x6=30/2=15 area of the triangle
2.5x6=15
as you can see the triangle and the rectangle have the same area
therefore the width of the rectangle is 2.5
What is the solution of 2.4x+2.6=17
Answer:
x=6
Step-by-step explanation:
12. Antara yang berikut, yang manakah terlibat dalam sistem mekanikal pintu gelangsar
automatik.
I Menerima dan menukar isyarat input dari alat kawalan jauh.
II Terdiri daripada takal dan tali sawat.
III Berfungsi untuk membuka dan menutup pintu.
IV Gear pada motor membantu pergerakan mudah.
A I, II, dan III
C I, III, dan IV
B I, II, dan IV
D II, III, dan IV
Find m angle Y
A.41°
B.82°
C. 98°
D. 102°
please help me this question
Answer: (b) 48 cm
==========================================================
Explanation:
Divide the perimeter of the square over 4 to get the side length s.
s = P/4
s = 48/4
s = 12
The side length of the square is 12 cm. This leads to an area of...
A = s^2
A = 12^2
A = 144
The area of the square is 144 square cm.
The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.
If the length of the rectangle is 14 cm, then the width must be
W = A/L
W = 140/14
W = 10
This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)
The last step is to compute the perimeter of the rectangle
P = 2(L+W)
P = 2(14+10)
P = 2*24
P = 48
You can use the formula P = 2L+2W, but it's effectively the same thing.
The perimeter of the rectangle is 48 cm.
5. (3x2 – 13x – 10) ÷ (x – 5)
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[tex]( 3 {x}^{2} - 13x - 10 ) \div (x - 5) = \\ [/tex]
[tex] \frac{3 {x}^{2} - 13x - 10 }{x - 5} = \\ [/tex]
[tex] \frac{(x - 5)(3x + 2)}{(x - 5)} = \\ [/tex]
[tex]3x + 2[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Factorise
b) x + 3x - 40
Rewrite the following expression performing the subtraction.
(5c² - 3c + 9) - (2c²+ 8c - 3)
a) What did you need to distribute to the second polynomial to rewrite?
Perform subtraction. Then, answer:
b) How many terms? in the simplified expression
c) What is the leading coefficient of the simplified expression?
d) What is the degree of the simplified expression?
Answer:
a) [tex]3c^2-11c+12[/tex]
b) 3 terms in simplified expression
c) 3 is leading coefficient
d) 2 is the degree of simplified expression
Step-by-step explanation:
We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]
a) What did you need to distribute to the second polynomial to rewrite?
We need to multiply - sign with the terms inside the bracket.
Perform subtraction. Then, answer:
[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]
b) How many terms in the simplified expression?
There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]
c) What is the leading coefficient of the simplified expression?
The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3
d) What is the degree of the simplified expression?
The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2
Enter an equation. Then solve. Of the songs downloaded from a music web site on Tuesday, 1/ 6 were country songs and 3/ 10 were rock songs. What fraction, x, of the songs were country or rock songs?
Answer:
7/15
Step-by-step explanation:
Fraction of the songs being country / rock songs: 1/6 + 3/10 = 7/15
It Snowed 2.91 inches in January, and it
snowed 6.76 inches in February. How
much did it snow altogether?
Answer:
9.67 inches altogether
Step-by-step explanation:
2.91 + 6.76 = 9.67
2.91
+6.76
--------------
9.67
this is the correctanswer
Can someone help me with part b on this question please?
9514 1404 393
Answer:
12.0 cm
Step-by-step explanation:
The Pythagorean theorem applies:
(12 cm)² +b² = (17 cm)²
b² = (289 -144) cm² = 145 cm²
b = √145 cm ≈ 12.04 cm
b ≈ 12.0 cm . . . . rounded to 1 decimal place
If you are making a scale drawing of a giraffe that is 6m tall, and the height of the giraffe in your drawing is 3cm, what is the scale of the drawing? Thank you and please explain how you obtained your answer.
Answer:
The scale would be 200
Step-by-step explanation:
If your giraffe is 3 cm and the scale drawing of the giraffe is 6m, in one meter, there are 100 cm, and 6/2=3 you multiply 2 by the 100 cm in the meter which gives you 200. You could also say 6m divided by 3cm which would also give you 200 or 600/300=200.
Choose the best term from the box.Write it on the blank
equation
• exponent
• factor
• multiple
• power
• product
(n)__tells the number of times the base is used as a(n)__.
.
50 is a(n)___of 10 because 5 × 10 = 50
Answer:
Exponent tells the number of times the base is used as a(n) power.
50 is a(n) multiple of 10 because 5 × 10 = 50
Step-by-step explanation:
Easy and please choose mine was the most helpful. I want to get Brainliest.
Answer:
(n)_exponent_tells the number of times the base is used as a(n)_power_.
50 is a(n)__multiple_of 10 because 5 × 10 = 50
Step-by-step explanation:
exponent: This is the power to which a number is raised or the number of times it is multiplied by itself.
multiple: A Multiple of a number is that number times any whole number.
power: The number to which a base is raised is called the power. This tells you how many times to multiply the base together.
if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression
Answer:
8, 4, 0, -4, - 8, .........
Step-by-step explanation:
The n the term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and a₁₅ = - 48, then
8 + 14d = - 48 ( subtract 8 from both sides )
14d = - 56 ( divide both sides by 14 )
d = - 4
To obtain the progression subtract 4 from each term, that is
8, 4, 0, - 4, - 8, ......
Answer:
8, 4, 0, -4, -8, -12, -16, -20,...
Step-by-step explanation:
Arithmetic Progressions
The general term of an arithmetic progression (A.P.) is:
[tex]a_n=a_1+(n-1).r[/tex]
Where:
a1 = First term
an = Term number n
n = Number of the term
r = Common difference
We are given: a1=8, and a15=-48, n=15. Calculate r:
[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]
[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]
[tex]\displaystyle r=\frac{-56}{14}[/tex]
r = -4
We can get the terms of the progression by subtracting 4 to the previous term.
Thus, the first terms of the progression are:
8, 4, 0, -4, -8, -12, -16, -20,...
simple explanations please! geometry
The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)
Answer:
g(4) = 5, fg(2) = 7/-3, gˉ¹(7) = 2
Step-by-step explanation:
i.) g(4)= 2(4) -3
g(4) = 8 -3
g(4) = 5
ii.) fg(2)
g(2) = 2(2)-3
g(2)= 4-3
g(2) = 1
fg(2) = 2(1)+5/1-4
fg(2) = 7/-3
iii.) g(x) = 2x -3
g(y) = 2y -3
x = 2y -3
x-3 = 2y
y= (x-3)/2
gˉ¹(7) = ((7)-3)/2
gˉ¹(7) = 4/2
gˉ¹(7) = 2
Find the improper fraction that is equivalent to eight and five sixths
Answer:
53/6
Step-by-step explanation:
Multiply. Write your answer as a fraction in simplest form.
2/15 x 9
The value of the fraction is 6/5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be = A
Now , the equation is expressed as
A = ( 2/15 ) x 9
On simplifying the equation , we get
A = 18/15
Dividing by 3 on the numerator and denominator , we get
A = 6/5
Therefore , the fraction in simplest form is 6/5
Hence , The value of the fraction is 6/5
To learn more about equations click :
https://brainly.com/question/10413253
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How to do this question plz answer
Answer:
a. 9 sides
b. 18 sides
c. 24 sides
d. 30 sides
Step-by-step explanation:
We can use the equation 180(n-2), which n is the number of sides to find the answer.
a. 180(n-2)=1260
n-2=7
n=9
b. 180(n-2)=2880
n-2=16
n=18
c. 180(n-2)=3960
n-2=22
n=24
d. 180(n-2)=5040
n-2=28
n=30
Answer:
a) 9 sides
b) 18 sides
c) 24 sides
d) 30 sides
Step-by-step explanation:
sum of interior angles = (n - 2) * 180
where n is the number of sides
a) 1260
(n - 2) * 180 = 1260
(n - 2) = 1260/180
(n - 2) = 7
n = 7 + 2
n = 9
b) 2880
(n - 2) * 180 = 2880
(n - 2) = 2880/180
(n - 2) = 16
n = 16 + 2
n = 18
c) 3960
(n - 2) * 180 = 3960
(n - 2) = 3960/180
(n - 2) = 22
n = 22 + 2
n = 24
d) 5040
(n - 2) * 180 = 5040
(n - 2) = 5040/180
(n - 2) = 28
n = 28 + 2
n = 30
Write 36 as a Product of is prine
numbers
Write the factors in order, from smallest
to largest
36
Answer:
Step-by-step explanation:
Factors of 36 = 1 2 3 4 6 9 12 18 36
the Prime Factors of 36 are: 2, 2, 3, 3.
This is the answer
Answer:
36 = 2*2*3*3
or
2^2 * 3^2
Step-by-step explanation:
Break 36 into prime factors
36 = 6*6
Since 6 isn't a prime number, factor 6
36 = 2*3 * 2*3
2 and 3 are prime numbers
In order from smallest to largest
36 = 2*2*3*3
or as exponents
36 = 2^2 * 3^2
Mr. Sanchez earns a 14% commission on the sales he makes for Sanchez
Rentals. How much commission would he make if he sold $3500 last
week?
not multi choice u type an answer !!!
PLZ HELP HURRY. Select the correct answer. Which of the following inequalities is graphed on the coordinate plane?
Answer: A
Step-by-step explanation: The reason is because a less than or equal symbol makes the solutions all below the points.
given g (x) =-5x-4, find g (x) = (1)
Answer:
The answer and work is both located in the screenshot provided!
Step-by-step explanation:
Hoped this helped!
There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?
Answer:
girls: 16
boys: 40
Step-by-step explanation:
girls : boys
2 : 5
let the total number of people be (2+5)x.
2x + 5x = 56
7x = 56
x = 8
therefore, no. of girls = 2 x 8 = 16
no. of boys = 5 x 8 = 40
This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Which of the following inequalities is correct?
-9 ≥ -7
-10 > |-10|
6 ≤ |-6|
0 < -13
Answer:
The last one
Step-by-step explanation:
Answer:6 should be right
Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation
|-6|=6
6 is less than or EQUAL to 6
is 3x-2>1 a strict inequality
Answer:
Inequalities involving the symbol '>' or '<' are called strict inequalities.
Step-by-step explanation:
Hope this helped!
Chuck's collection of 19 marbles. He has 3 yellow marbles, 4 red marbles, 4 orange marbles, 2 purple marbles, 1 green marble, and 5 blue marbles.
What is the ratio of green marbles to red marbles in his collection?
A.
1 to 4
B.
1 to 19
C.
4 to 1
Solve: 0.072 = w - 3.6 w = _____
Answer:
Step-by-step explanation:
0.072=w-3.6w
w= -0.0276923
Answer:
w = 3.672
Step-by-step explanation:
0.072 = w - 3.6
0.072 + 3.6 = w
3.672 = w
Analyze the graph below by answering the questions. Describe the slope (+, - , change in values etc.) and what is the Y-intercept? How do you know?
Answer:
Step-by-step explanation:
The y-intercept is 3.
I know this because when x is 0 that is where the y-intercept is :)