Answer:
D
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = 2x - 10 ( add 10 to both sides )
y + 10 = 2x ( divide both sides by 2 )
[tex]\frac{y+10}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+10}{2}[/tex] = [tex]\frac{1}{2}[/tex] x + 5 → D
can you please tell me the answer I don't know
Answer:
Twenty-eight billion five hundred forty-two million rupees
28,542,000,000 rupess
or, 28.542 × 10⁹ rupees
Help!!! please!!! Confused!
.Prove a+ar+ar2+………+arn-1=a(rn -1 ) r-1
Answer:
See below.
Step-by-step explanation:
Call the sum of the first n terms S.
S = a + ar + ar^2 + ar^3 + ... + ar^(n -1)
Multiply both sides by r.
Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^n
No subtract S - Sr.
S = a + ar + ar^2 + ar^3 + ar^4 + ... + ar^(n -1)
(-) Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^(n - 1) + ar^n
-------------------------------------------------------------------
S - Sr = a - ar^n
S(1 - r) = a(1 - r^n)
S = a(1 - r^n)/(1 - r)
S = a(r^n - 1)/(r - 1)
a + ar + ar^2 + ar^3 + ... + ar^(n -1) = a(r^n - 1)/(r - 1)
Find Y. Do not round answer.
Answer:
Does the answer help you?
Solve the equation.
3(n+4)=12(6n+4)
Answer:
n = -12/23
Step-by-step explanation:
please no wrong answers
what to do next??
Step-by-step explanation:
I am not sure what you want to calculate as ultimate goal.
but your have an error already in your third line in the picture.
(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)
you had there a "+" instead of a "-".
and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.
= 3×2 - 3×4i - 6i×2 + 6i×4i =
= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18
then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.
(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =
= 6 + 12i + 12i + 24×-1 =
= 6 + 24i - 24 = 24i - 18
is that what you wanted to show ?
2+9 +11+98+99999999999999999
Answer:
1.000000000000012e+16
Step-by-step explanation:
uh
5. The distance between two given points (5,2) and (x,5) is 5 units. Find the possible values of x. *
============================================================
Explanation:
We'll use the distance formula here. Rather than compute the distance d based on two points given, we'll go in reverse to use the given distance d to find what the coordinate must be to satisfy the conditions.
We're given that d = 5
The first point is [tex](x_1,y_1) = (5,2)[/tex] and the second point has coordinates of [tex](x_2,y_2) = (x,5)[/tex] where x is some real number.
We'll plug all this into the distance formula and solve for x.
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\5 = \sqrt{(5-x)^2+(2-5)^2}\\\\5 = \sqrt{(5-x)^2+(-3)^2}\\\\5 = \sqrt{(5-x)^2+9}\\\\\sqrt{(5-x)^2+9} = 5\\\\(5-x)^2+9 = 5^2\\\\(5-x)^2+9 = 25\\\\(5-x)^2 = 25-9\\\\(5-x)^2 = 16\\\\5-x = \pm\sqrt{16}\\\\5-x = 4 \ \text{ or } \ 5-x = -4\\\\-x = 4-5 \ \text{ or } \ -x = -4-5\\\\-x = -1 \ \text{ or } \ -x = -9\\\\x = 1 \ \text{ or } \ x = 9\\\\[/tex]
This means that if we had these three points
A = (5, 2)B = (1, 5)C = (9, 5)Then segments AB and AC are each 5 units long.
what’s the answer?? please help
Answer:
W
Step-by-step explanation:
I done it before
If fx) = 2х2 - 5 and g(x) = 3х+3, find (f-g)(x).
ОА. -Х? - 8
В. 3х - 2x2 - 2
Ос. 2х - 3x-2
OD. 2х2 – 3х – 8
Answer:
Solution given:
f(x)=2x²-5
g(x)=3x+3
now
(f-g) (x)=?
we have
(f-g)(x)=f(x)-g(x)
=2x²-5-(3x+3)=2x²-5-3x-3adding or subtracting common term=2x²-3x-8Answer:
[tex]2x^{2} - 3x - 8[/tex]
Step-by-step explanation:
Step 1: Define what (f-g)(x) means
(f-g)(x) means that we have two different functions, f(x) and g(x). (f-g)(x) is a shorter way of writing f(x) - g(x). Therefore you just plug in the equations and combine like terms.
Step 2: Find (f-g)(x)
[tex]f(x) = 2x^{2} - 5[/tex]
[tex]g(x) = 3x + 3[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - (3x + 3)[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - 3x - 3[/tex]
[tex](f-g)(x) = 2x^{2} - 3x - 8[/tex]
Answer: [tex]2x^{2} - 3x - 8[/tex]
48-15÷{3×(-2-4+11)}+12
Answer:
35
Step-by-step explanation:
48-15÷(3×5)+12
48-15÷15+12
48-1+12
59
1. You buy rice at $0.71 a pound. One batch of fried rice requires 6.5 pounds of rice. How much does the rice for one batch cost? Round to the nearest cent.
Select one:
a. $4.60
b. $4.65
c. $4.61
d. $4.62
The cost for one batch of fried rice will be $4.62.
Since the rice is bought at $0.71 a pound and one batch of fried rice requires 6.5 pounds of rice, then the cost of one batch of rice will be:
= $0.71 × 6.5
= $4.615
= $4.62 approximately.
In conclusion, the cost for one batch of fried rice will be $4.62.
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Which is 1/3+1/4?
FASTBRIDGE!!
Option B is 1/3 + 1/4.
1/3 + 1/4 is equal to 7/12.
Here, we have,
To find the sum of 1/3 and 1/4, you need to have a common denominator.
The common denominator of 3 and 4 is 12.
To make the fractions have the same denominator, you can convert them as follows:
1/3 = (1/3) * (4/4) = 4/12
1/4 = (1/4) * (3/3) = 3/12
Now that both fractions have a denominator of 12, you can add them together:
1/3 + 1/4 = 4/12 + 3/12 = (4+3)/12 = 7/12
Therefore, 1/3 + 1/4 is equal to 7/12.
now, from the given options, we have,
in option B. it is indicating that,
2/6 + 1/4
=> 1/3 + 1/4.
Hence, Option B is 1/3 + 1/4.
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ABCDEFGHIJ is a regular decagon and the measure of <D is 144º. What is the measure of <A?
A) 90°
B) 100°
C) 144°
D 220°
ABC is an equilateral triangle and the measure of <A is 60°. What is the measure of <C?
A) 45°
B) 60°
C) 90°
D) 180°
Answer:
1. 144⁰
2. 60⁰
Step-by-step explanation:
The formula to find the measure of the interior angles of a regular polygon is:
m< = (n - 2) • 180/n where n = the number of sides
For a decagon, there are 10 sides.
m< = (10-2) • 180/10 = 144°
A regular polygon/equilateral triangle is defined as having equal sides and angles.
Answer:
given ABCDEFGHIJ is a decagon
As we know the sum of all ten interior angles of a decagon = 1440°
so measure of each angle of decagon = (1440/10)° = 144°
so the measure of ∠A would be 144° (C)
given Δ ABC is a equilateral triangle
As we know the sum of all three interior angles of a equialter traingle = 180°
so if one angle of an equilateral triangle is 60°
then the remaining of the angles would have the measure of 60° each
So answer = 60°(B)
Hope it helps
X
50
50
X =
degrees
Please help with this problem I am going crazy
Answer:
x=80°
Step-by-step explanation:
Triangles always add up to 180°.
As you have 2 angles, you would have to add them together and then take it away from 180° to get your answer.
50+50=100°
180-100=80°
Hope this helps :)
Answer:
x = 80°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for x
x = 180° - (50 + 50)° = 180° - 100° = 80°
Martine grew at an average rate of 6cm/year for the first 18 years of her life. If Martine was 50 cm long when she was born, how tall was Martine when she turned 18?
Answer:
158cm
Step-by-step explanation:
Martine had the height of 50cm when born.
Every year she grows at an average rate of 6cm
So the the first 18 years will be 6cm × 18 = 108cm
She will be 108cm + 50cm = 158cm tall by the time she turns 18 years
50cm + (6 × 18)cm
50cm + (6 × 18)cm50cm + 108cm
50cm + (6 × 18)cm50cm + 108cm158cm
Instructions: Find the surface area of each figure. Round your answers to the nearest
tenth, if necessary.
Answer:
136
Step-by-step explanation:
Surface area=2*(lb+bh+lh)
=2*(12+42+14)=2*68=136
Use ratios to convert each measurement.
1. 3 yards = _____ feet
2. _____ cups= 5 gallons
3. 72 inches =_____ yards
4. ______ ounces = 5 pounds
5. ______ inches =7 feet
6. 24 feet = _____ yards
7. 40 pints = ______ gallons
8. 16 cups = ______ quarts and
9. ________ inches = 4 yards
10. 48 ounces = ________ Pounds
Answer:
1. 3 yards= 9 feet
2. 78 cups=5 gallons
3. 72 inches = 2 yards
4. 80 ounces = 5 pounds
5. 84 inches = 7 feet
6. 24 feet = 8 yards
7. 40 pints = 5 gallons
8. 16 cups = 5 quarts
9. 144 inches = 4 yard
10. 48 ounces = 3 pounds
Guys please help! For Edge 2021
Writing the Inverse of a Function
What is the inverse of f(x) = 3x + 2?
3x+2
h(x) = 3x-2
h(x) =
O h(x) = 3x - 2
h(x) = 3x - 6
Step-by-step explanation:
please check the attachment for solutions
factorise. X^5+X^4+1.
Answer:
Answer
5.0/5
2
poojamaurya21
Virtuoso
133 answers
14.9K people helped
Answer:
): "x2" was replaced by "x^2". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
x6 - x5 + x4 - x3 + x2 - x =
x • (x5 - x4 + x3 - x2 + x - 1)
2.2 Factor x5 - x4 + x3 - x2 + x - 1
Try to factor this 6-term polynomial into (2-term) • (3-term)
Begin by splitting the 6-term into two 3-term polynomials:
-x2 + x - 1 and x5 - x4 + x3
Next simplify each 3-term polynomial by pulling out like terms:
-1 • (x2 - x + 1) and x3 • (x2 - x + 1)
Note that the two simplified polynomials have x2 - x + 1 in common
Now adding the two simplified polynomials we get
(x3 - 1) • (x2 - x + 1)
identify the area of a regular decagon with side length 2 m rounded to the nearest tenth
Answer:
Area = 14.8
Step-by-step explanation:
Area = 5/2 + a^2*sqrt(5 + 2 sqrt(5) )
This formula given the side length, calculates the area.
a = 2
Area = 2.5 + 2^2 * sqrt(5 + 2*sqrt(5) )
Area = 2.5 + 4 * sqrt(5 + 2*2.236)
Area = 2.5 + 4* sqrt(5+ 4.4721)
Area = 2.5 + 4*sqrt(9.4721)
Area = 2.5 + 4*3.0776
Area = 2.5 + 12.3107
Area = 14.8107
Answer:
A ≈ 30.8 m2
Step-by-step explanation:
Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.
[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]
[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]
[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]
[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]
[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]
[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]
A car is travelling in the velocity of 20 m/ s . After 30 sec it covers a distance of 1200 m. Calculate the acceleration of car and the final velocity of the car
Answer:
given values are:
u=20 m/st= 30 ss= 1200 mv= ?a=?s = ut + 1/2 at²1200 = 20×30 + 1/2 × 30²a
1200= 600 + 1/2 × 900a
600 = 450a
a = 600 / 450
a = 1.33 m/s²
v²= u² +2asv² = 20² +2 × 1.33 × 1200
v²= 400 + 3192
v = √3592
v = 59.9 ≈ 60 m/s
Please help I will give you Brainlyest
Answer:
a. You can find the value of 4w by using inverse operations. Subtract 8 from both sides in the equation 4w+8=32. You will get 4w=24. Now, you divide 4 by both sides to get w by itself. You will soon get 6. Now multiply 6 and 4, coming to the conclusion that 4w=24.
b. To find the value of w using the value of 4w, which is 24, simply use inverse operations once more. Using the equation 4w=24, we can use division and divide 4 by both sides, leaving us with w by itself. We end up with w=6. The value of w is 6.
c. You can check if the value of w is correct by plugging in your number back into the equation. Our equation is 4w+8=32, so we replace w with 6, the value for w that we found. We end up with 4(6)+8=32. Multiply 4 by 6, ending up with 24, then add it to 8, coming up with 32. 4(6)+8=32, which shows us that 6 is the correct value for w.
Which statement is true about the given function?
Answer:
it's the 3rd option
Step-by-step explanation:
f(x) 0 over the intervals (–∞ –3)
Hope it's right
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
28. The choose E . y=-3/2x29. The choose D. 4
A=(–2,–4) , B=(0,4)
m=(y2-y1)/(x2-x1)= (4-(-4)) / (0-(-2))=8/2=4
30. The choose E(x+2)(x+4)=x²+4x+2x+8=x²+6x+8
I hope I helped you^_^
Answer:
E, D and E
Step-by-step explanation:
(28)
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 2, 3) and (x₂, y₂ ) = B (2, - 3) ← 2 points on the line
m = [tex]\frac{-3-3}{2-(-2)}[/tex] = [tex]\frac{-6}{2+2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x → E
(29)
Using the slope formula
with (x₁, y₁ ) = A (- 2, -4) and (x₂, y₂ ) = B (0, 4) ← 2 points on the line
m = [tex]\frac{4-(-4)}{0-(-2)}[/tex] = [tex]\frac{4+4}{0+2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → D
(30)
(x + 2)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) + 2(x + 4) ← distribute both parenthesis
= x² + 4x + 2x + 8 ← collect like terms
= x² + 6x + 8 → E
The surface area of a cylinder is given by the formula
S = 30πr + 2πr2
How many times greater is this compared to a circle with A = πr2
Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2) , Given volume and lateral area: r = 2 * V / A_l , Given base area: r = √(A_b / (2 * π)) , Given lateral area and total area: r = √((A - A_l) / (2 * π)) .
Give one pair of supplementary angles and one pair of vertical angles shown in the figure below.
(a) Supplementary angles:
(b) Vertical angles:
Answer:
<5 and <6 are supplementary angles
<1 and <6 are vertical angles
The opposite angles of a cyclic quadrilateral are (3x + 10)
and (2x + 20)°. Find the angles.
what do you mean by trigonometry
Answer:
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangle