Answer:
f(2a + 3) = 8a² + 20a + 27
Step-by-step explanation:
f(x) = 2x² + 4x - 3
f(2a + 3) = 2(2a + 3)² + 4(2a + 3) - 3
f(2a + 3) = 8a² + 12a + 18 + 8a + 12 - 3
f(2a + 3) = 8a² + 20a + 27
The value of f(2a+3) for the given function f(x) = 2x² + 4x - 3 will be 8a² + 20a + 27.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function f(x) = 2x² + 4x - 3
⇒ f(2a + 3) = 2(2a + 3)² + 4(2a + 3) - 3
⇒ f(2a + 3) = 2(4a² + 9 + 6a) + 8a + 12 - 3
⇒ f(2a + 3) = 8a² + 18 + 12a + 8a + 12 - 3
⇒ f(2a + 3) = 8a² + 20a + 27.
Hence "The value of f(2a+3) for the given function f(x) = 2x² + 4x - 3 will be 8a² + 20a + 27".
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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
What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105
Answer:
4 x 10⁵
so that i think will be OD)
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.
Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190
Answer:
It is D (-23, -7, 5, 9, 190)
Step-by-step explanation:
:)
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
Find the improper fraction that is equivalent to eight and five sixths
Answer:
53/6
Step-by-step explanation:
nancy has x coins. Bill has 9 coins fewer than five times the number of coins nancy has. Write and simplify an expression for the total number of coins and have.
Answer:
5x-9
Step-by-step explanation:
If Bill has 9 coins less then 5 times Nancy's coins, the number of his coins is 5x-9.
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.
is 3x-2>1 a strict inequality
Answer:
Inequalities involving the symbol '>' or '<' are called strict inequalities.
Step-by-step explanation:
Hope this helped!
simple explanations please! geometry
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!
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 :)
When graphing inequalities, where can the solutions be found?
Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.
When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.
For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.
Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.
It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
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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
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
Solve the system of equations using the substitution method (solving for x and y intercepts). Please give graphing points.
x+y=5
2x-y=-2
WILL GIVE BRAINLIEST
Answer:
(x, y) = (1, 4)
Step-by-step explanation:
Given: x+y=5 and 2x-y=-2
Solve for y and x
x+y=5; solve for y
y = 5 - x; substitute into other equation
2x-y= -2
2x - (5 - x) = -2
2x - 5 + x = -2; combine x's
3x - 5 = -2; add 5 to both sides
3x =3; divide by 3
x = 1; use this to solve for y
x+y=5
1 + y = 5; subtract 1 from both sides
y = 4
(x, y) = (1, 4)
what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number
nearest is 3.2 that is with whole bumber
can u help me with my math
1b think
I am not sure
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
Simplify this expression using the distributive property.
3.1(x + 1) + 4(x – 2.3)
What is the expression in its simplest form?
3.1x + 3.1 + 4x – 9.2
0.9x + 9.2
7.1x – 6.1
12.4x + 6.1
Answer:
7.1x−6.1
Step-by-step explanation:
Distribute:
=(3.1)(x)+(3.1)(1)+(4)(x)+(4)(−2.3)
=3.1x+3.1+4x+−9.2
Combine Like Terms:
=3.1x+3.1+4x+−9.2
=(3.1x+4x)+(3.1+−9.2)
=7.1x+−6.1
Answer:
7.1x - 6.1
Step-by-step explanation:
What is the solution of 2.4x+2.6=17
Answer:
x=6
Step-by-step explanation:
A rhombus is graphed
on the set of axes below.
Answer:
Step-by-step explanation:
reflection over y-axis
Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.
We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.
A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:
180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.
Therefore, it is a possible transformation that carries the rhombus onto itself.
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PLEASE HELP!! I have asked this many times with no answers I really need help.
What is the direction, y-intercept, and zeroes of f(x) = 4x^2 + 10x + 12.
The direction of f(x) = 4x² + 10x + 12 is in upward direction.
y intercept of the f(x) is (0,, 12).
And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
What is function?
Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
f(x) = 4x² + 10x + 12.
The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.
To find y intercept of the function,
Substitute x = 0, in the function,
f(x) = y = 4 (0)² + 10 (0) + 12
y = 12
The y intercept of the function is (0, 12).
To find the number of zeros, Substitute f(x) = 0,
Implies that,
4x² + 10x + 12 = 0
The values of x for the given quadratic equation are,
x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i
The number of zeros is two at -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
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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
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
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
Liam and Sam shared a chocolate bar. Liam ate 3/5 and Sam ate 4/10. Who ate more? How much more?
Liam ate 6/10, so 2/10 more.
Answer:
liam ate more . he ate 1/5 parts more
Uh some math question..
Luis purchased 24 purple
plants and 8 pink plants.
He wants to plant them in
equal groups in his garden.
What is the largest number
of groups, he can make?
Answer: 8 groups is the largest number of groups he can make
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]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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
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