Answer:
f^(-1)(x) = 4x + 48.
Step-by-step explanation:
Is suppose the function is f(x) = 1/4 x - 12
This is equivalent to the line y = 1/4 x - 12.
To get the inverse, change the x and y:
x = 1/4 y - 12
Now solve for y:
x + 12 = 1/4 y
y = 4x + 48
So the inverse f^(-1)(x) = 4x + 48.
Answer:
f-1(x) = 4x + 48.
Step-by-step explanation:
let f(x) = y = 1/4 x - 12
We solve for x:
y = 1/4 x - 12
1/4 x = y +12
Multiply through by 4:
x = 4y + 48
The inverse f-1(x) = 4x + 48.
The integer 49 can be written as the sum of smaller perfect squares in a variety of ways. One such way includes six terms: $25 9 9 4 1 1$. If each term has a value between 0 and 49, what is the fewest number of perfect square terms smaller than 49 that can be added together for a sum of 49
9514 1404 393
Answer:
3
Step-by-step explanation:
The minimum length of the sum of perfect squares that total 49 is 3:
49 = 36 +9 +4
= 6² +3² +2²
Apply the Pythagorean Theorem to find the distance between points A and C.
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
315 inches
Step-by-step explanation:
180 + 180 * 075 =
180 + 135 = 315
Answer:
The truck is 315 inches long.
Step-by-step explanation:
please help!
what’s the value of x?
8
56
12
62
Answer:
56
the picture below shows one that is parallel to the
which line is 56
OFFERING A LOT OF POINTS (PLEASE DONT TAKE THIS QUESTION DOWN BRAINLY MODERATORS, i HAVE WORKED ON THIS QUESTION FOR THE PAST HOUR AND CANT GET IT RIGHT, NEED HELp),
im confused on this question of my virtual math homework, can anyone help? thanks in advance
Answer:
b) 75%
c) 150%
d) 90%
Step-by-step explanation:
Please what’s the answer to this ?
Answer:
x=-10
Step-by-step explanation:
so a triangle is 180 degrees
look at this all sides are congruent so all angles are 60
60*3=180
now solve for x
x+70=60
x=-10
PLEASE HELP FOR BRAINLEIST
Answer:
25.) Slope of AB = 5
Slope of CD = -1/5
Perpendicular
26.) Slope of EF = -3/5
Slope of GH = -3/5
Parallel
Step-by-step explanation:
Use this formula to find slope. [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Parallel lines have the same slope
Perpendicular lines have the opposite reciprocal and sign
25.)
Plug in AB slope is 5
2 - 7/ 3 - 4 = -5/-1 = 5
Plug in for CD slope is -1/5
3 - 4/ 2 - -3 = -1/5 = -1/5
The lines AB and CD are perpendicular because they have opposite reciprocals and opposite signs.
26.)
Plug in EF slope is -3/5
1 - 4/ 3 - -2 = -3/5 = -3/5
Plug in GH slope is -3/5
-5 - -2/ 4 - -1 = -3/5 = -3/5
The lines EF and GH are parallel lines because they have the same slopes.
Hope this helps ya!
Answer:
what the other person said
Step-by-step explanation:
you were already saved just give them brainliest now
can someone help me with 11 please
Answer:
apples: 2, 4, 6, 8
oranges: 5, 10, 15, 20
Step-by-step explanation:
what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow
Step-by-step explanation:
First, you want to find the change in the top collum, and then the bottom collum.
The top collum seems to go up by 2, so it would be 2,4,6,8
The bottom collum seems to go up by 5 so it would be 5,10,15,20
And boom! there's ur answer!
Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:
A)
3
B)
1
C)
4
D)
2
Answer:
B
Step-by-step explanation:
(a+b)^2
using Pascal triangle
1 1
1 2 1
1 3 3 1
so the third term in the expansion of (a+b)^2
we use
1 2 1
a^2 + 2ab+b
hence the coefficient of third term is 1
option B is collect
A cone, a cylinder and a sphere all have the same radius and the same height.Which would have the largest volume?
Answer:
The sphere and the cylinder
How do you do this for expanding and factoring expressions 8(4x-12)
Answer:
32x - 96
Step-by-step explanation:
Apply the distributed property:
8 × 4x = 32x8 × 12 = 96Re-write the expression: 32x - 96I hope this helps!
2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm
Find the volume of a right circular cone that has a height of 17 m and a base with a circumference of 6.3 m.
Answer:
The volume of the right circular cone is approximately 17.9 m³
Step-by-step explanation:
The given parameters of the cone are;
Height = 17 m
Circumference of the base, C = 6.3 m
The circumference, C, of a circle is given by the formula, C = 2×π×r
Therefore, we have;
C = 6.3 m = 2×π×r
r = 6.3/(2 × π) ≈ 1.002676
The volume, V, of a cone is given by the following formula;
[tex]V = \dfrac{1}{3} \times \pi \times r^2 \times h[/tex]
Where;
r = The radius of the base ≈ 1.002676
h = The height of the cone = 17 m
[tex]V = \dfrac{1}{3} \times \pi \times 1.002676^2 \times 17[/tex]
V = 1/3 × π × (1.002676 m)² × 17 m ≈ 17.89776 m³ which by rounding up to one decimal place is 17.9 m³
The volume of the right circular cone, V ≈ 17.9 m³.
5x + 3y = -3
2X - 3y = 24
Answer:
Y=-5/3x-1
y=2/3x-8
If you are adding then it is:
7x=21
x=3
Step-by-step explanation:
5x+3y=-3
3y=-5x-3
y=-5/3-1
2x-3y=24
-3y=-2x+24
y=2/3x-8
Answer:
If you add the two equations, you get
-5x = -10
Step-by-step explanation:
it might be wrong
plz answer! only if correct
Answer:
should be 180
Step-by-step explanation:
All triangles add up to 180 degrees based on the triangle sum theorem
Select all of the correct solutions for the following equation
52
2y = 18
a
o ad oo
(5,3)
(4,1)
(3,3)
c
None of the above
Answer:
Your answer is (4,1).
Step-by-step explanation:
5x - 2y = 18
5(4) - 2(1) = 18
20 - 2 = 18
18 = 18 (Which means it's correct)
Let me know if you need anymore help!
Which statement best represents the distance on a number line between -14 and -5?
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.
pls pls pls pls help
the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle
Answer:
l = 31 cm
w = 27 cm
Step-by-step explanation:
l = w + 4
p = 2l + 2w
p = 2(w+4) + 2w
116 = 2(w+4) + 2w
116 = 2w + 8 + 2w
116 = 4w + 8
108 = 4w
27 = w
l = w + 4
l = 27 + 4
l = 31
hope this helps, pls mark brainliest :D
Answer:
w=18 L=40
Step-by-step explanation:
w
---------
| |
| | 2w+4
| |
---------
2(2w+4)+ 2(w)=116
6w+8=116
6w=108
w=18
2(18)+4
36+4
40
HELP WILL MARK BRAINLIEST
Answer:
The answer is D: y = -2x + 6
Step-by-step explanation:
the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
What is the surface area of the solid?
Answer:
B
Step-by-step explanation:
Find the length of BC.
Answer:
BC = 8
Step-by-step explanation:
AB + BC = AC
4x + 8 + 3x - 4 = 32
7x + 4 = 32
7x = 32 - 4
7x = 28
x = 28/7
x = 4
BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8
Answer:
B) 8
Step-by-step explanation:
The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.
Thus, AB+BC=AC, and we can substitute:
AB+BC=AC
(4x+8)+(3x-4)=32
4x+8+3x-4=32
7x+4=32
7x=28
x=4
Now that we have x, we can plug it in for segment BC:
BC=3x-4
3(4)-4
12-4
8
Therefore, choice B is correct
How can you figure out the next number in the pattern below? Write a conjecture that describes the pattern.
29, 28, 26, 23, 19...
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The correct statements about given synthetic division are C, D, and F
What is a quadratic polynomial?"It is a polynomial with degree 2."
What is synthetic division?"It is defined as a way of dividing one polynomial by another polynomial of first degree."
For given question,
We have been given a quadratic polynomial [tex]F(x)=4x^{2} -17x-15[/tex]
We can factorize above quadratic polynomial as,
[tex]F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)[/tex]
This means the factors of [tex]4x^{2} -17x-15[/tex] are (x - 5) (4x + 3)
And the roots of the polynomial would be,
[tex]\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}[/tex]
This means, the roots of [tex]4x^{2} -17x-15[/tex] are 5 and [tex]\frac{-3}{4}[/tex]
Therefore, the correct statements about given synthetic division are C, D, and F
Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ2
Help me Need help will get barinliest
Answer:
6
Step-by-step explanation:
Hope this helps. :)
Answer:
y=kx
=6
Step-by-step explanation:
y=kx I think cause y is directly proportional to x??
so
12=k2
12/2=k2/2
k=6
Which expressions are equivalent?
Select Equivalent or Not equivalent for each pair of expressions
3(a−b) and 3a−3b
– 3( a−b ) and 3a−3b
– 3( a−b ) and 3a−3b
2a(2+b) and 4ab
Answer:
3(a-b) and 3a-3b. Equivalent
2a(2+b) and 4ab. Not equivalent
Step-by-step explanation:
hope this helps:)
If BC
is the image of XY
after a rotation about the origin, then what is always true about BC
?
A
BC
is a vertical segment.
B
BC
is a horizontal segment.
C
BC
is in the same quadrant as XY
.
D
The length of BC
is the same as XY
.
Answer:
Step-by-step explanation: a
How do you decide which rational number operations to use to solve problems.
Answer:
Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Answer:
$20
Step-by-step explanation:
you divide 40 by the two tickets and get $20.
Answer:
$20
Step-by-step explanation:
2 into 40 = 20
3 into 60 = 20
4 into 80 = 20
Several friends went to the movie. The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each. The total was $83.30. Solve for x, the number of friends. $2.50x + $4.85x + $24.50 = $83.30
Answer:
x = 8
Step-by-step explanation:
Let there are x friends.
The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.
Total cost = $83.30
We need to solve for x. The equation for the scenario is given by :
$2.50x + $4.85x + $24.50 = $83.30
Taking like terms together
$2.50x + $4.85x = $83.30-$24.50
7.35 x = 58.8
x = 8
So, there are 8 friends.