The domain is the span of the x-values, and the range is the span of the y-values. In each, we are looking for the smallest and largest values.
Domain: x starts at -7, and goes to infinity (we cannot see an end)
(-7, infinity)
Range: y starts at negative infinity (we cannot see where it would start), and goes to 3
(negative infinity, 3)
Hope this helps!
Answer:
the domain starts at -7 ... only one answer has the domain starting at -7
domain(-7, infinity)
Step-by-step explanation:
the domain starts at -7 ... only one answer has the domain starting at -7
what is x?
0=3x² - 4x + 12
Answer:
x=0.66+1.88i
x=0.66-1.88i
Step-by-step explanation:
Given
3[tex]x^{2}[/tex]-4x+12=0
using the Quadratic Formula where
a = 3, b = -4, and c = 12
[tex]x=-b[/tex]±[tex]\sqrt{b^{2}-4ac } /2a\\[/tex]
x=-(-4)±[tex]\sqrt{(-4)^{2}-4(3)(12) } /2(3)[/tex]
x=4±[tex]\sqrt{16-144} /6[/tex]
x=-4±[tex]\sqrt{128} /6[/tex]
[tex]b^{2} -4ac<0\\[/tex]
x=-4±[tex]8\sqrt{2} i[/tex]/6
[tex]x=\frac{2}{3}[/tex]± [tex]\frac{4\sqrt{2}i }{3}[/tex]
Which becomes,
x=0.66+1.88i
x=0.66-1.88i
The value of x will be x=0.66+1.88i
x=0.66-1.88i
When drawn in standard position, in which quadrant does the terminal side of the angle −240° lie?
Answer:
Option (2)
Step-by-step explanation:
All angles are positive when measured counterclockwise from the x-axis.
Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.
But the angle is -240°.
That means angle is being measured clockwise from the x-axis.
Therefore, terminal side of the of the angle will be in the 2nd quadrant.
Option (2) will be the correct option.
Solve for X, Round to the nearest 10th of a degree if necessary 43 87
Answer:
x° ≈ 60.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x°
Adjacent Leg = 43
Hypotenuse = 87
Step 2: Solve for x
Substitute in variables [cosine]: cos(x°) = 43/87Inverse Trig: x° = cos⁻¹(43/87)Evaluate: x° = 60.3795Round: x° ≈ 60.4A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
if you anserw corectly ill give you crown and more points
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Hope this helps!
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
This the answer
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
2x-3
The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (0, 1), has an inflection point at (1, 0), and goes through (2, negative 1).
Which equation represents g(x)?
g (x) = RootIndex 3 StartRoot x + 1 EndRoot
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
Transformation involves changing the form of a function.
The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]
Function f(x) is given as:
[tex]f(x) =\sqrt[3]{x}[/tex]
First f(x) is reflected across the x-axis.The rule of this transformation (i.e. reflection) is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f'(x) = -f(x)[/tex]
This gives
[tex]f'(x) =-\sqrt[3]{x}[/tex]
Next, f'(x) is translated 1 unit leftThe rule of this transformation (i.e. translation) is:
[tex](x,y) \to (x+1,y)[/tex]
So, we have:
[tex]g(x) = f'(x+1)[/tex]
This gives
[tex]g(x) =-\sqrt[3]{x+1}[/tex]
Hence, the equation that represents g(x) is (c)
Read more about transformation at:
https://brainly.com/question/12619643
Answer:
Its D
Step-by-step explanation:
just did the quiz
a shade of violet paint is made from 16 parts of blue paint mixed with 5 parts of red paint. If 4 cans of paint are used, how many cans of red paint should be used?
Answer: None because i dont like cans of paint
Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint
x ÷ 8.2 = 10. What is the value of x?
Answer:
82
Step-by-step explanation:
Answer:
82
Step-by-step explanation:
10 times 8.2 would be 82 so you just divide 82 by 10
Which is another name for plane M?
The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians.
The ratio of the measure of the central angle to the entire circle measure is
Answer:
1 : 2
Step-by-step explanation:
π / 2π = 1/2
1 : 2
There are 20 chocolates in a box.
Some of the chocolates contain nuts and the rest do not.
The probability that a chocolate containing nuts is picked at random from the
box is 0.6
How many of the chocolates in the box contain nuts?
Answer:
12 nutted chocolates
Step-by-step explanation:
0.6 is equal to 60% and 60% 0f 20 is 12.
the standard unit for measuring mass is the
During a single day at radio station WMZH, the probability that a particular song is played is 6/7. What is the probability that this song will be played on at least 5 days out of 6 days? Round your answer to the nearest thousandth.
Answer:
The required probability is 0.462.
Step-by-step explanation:
Probability to play the song = 6/7
Probability not to play the song = 1 - 6/7 = 1/7
Required probability
= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days
[tex]=\left (\frac{6}{7} \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7} \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462[/tex]
Find mZHFG if mZEFG = 2x + 52, mZEFH = 21°, and mZHFG = 1 + 31
Answer:
m<HFG = 31
Step-by-step explanation:
We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.
21 + x + 31 = 2x + 52
x + 52 = 2x + 52
x = 0
Now, we substitute x into the expression of m<HFG:
m<HFG = x + 31
m<HFG = 0 + 31
m<HFG = 31
A 6) Set both given equations equal to zero, then combine them into one standard form
equation. Simplify if possible.
7x + 3 = 5 and y-1 = 6
Answer:
The standard equation is 7x + y = 9
Step-by-step explanation:
Equations given are:
7x + 3 = 5 and y - 1 = 6
Set both given equations equal to zero, then combine them into one standard form equation
Set the equations to zero by moving the constant from R.H.S to L.H.S
7x + 3 - 5 = 0
7x - 2 = 0 ---- eq 1
y - 1 = 6
y - 1 - 6 = 0
y - 7 = 0 ----- eq 2
We have to combine eq 1 and eq 2
7x - 2 + y - 7 = 0
7x + y - 9 = 0
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Thus the standard equation is:
7x + y - 9 = 0
7x + y = 9
Thus the standard equation is 7x + y = 9
Using the following image, complete the statement below. I got all the answers I need the ones that is blank
Answer:
DE is congruent to BE , ED is congruent is EB and the last one is midpoint.
Step-by-step explanation:
what is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
a. 1/3
b. 1/2
c. 2
d. 13
Answer:
x = 2
Step-by-step explanation:
Given
2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides
15x - 10 = 10 + 6 + 2x , that is
15x - 10 = 16 + 2x ( subtract 2x from both sides )
13x - 10 = 16 ( add 10 to both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Answer:
2
Step-by-step explanation:
15x-10=10+6+2x
15x-2x=10+10+6
13x=26
divide 13 both sides
x=2
Can someone please answer these 2 questions
Answer:
part 1: $532.95. Part 2: 16
Step-by-step explanation:
Part 1: 15 * 15.35 = 230.25
30 * 10.09 = 302.70
230.25 + 302.70 = $532.95
Part 2: R = letters in the word desk
there are 4 letters in the word Desk
[tex]2^{R}[/tex] = [tex]2^{4}[/tex] = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets
Will mark brainliest
Answer:
the answer would be 270
Step-by-step explanation:
i can explain later:
since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.
Two runners start from the same point at the same time. They will be 4 miles apart at the end of two hours if running in the same direction, and they will be 16 miles apart at the end of one hour if running in opposite directions. Find their speeds.
Answer:
runner 1 runs with 9 miles / hour
runner 2 runs with 7 miles / hour
Step-by-step explanation:
x = speed of runner 1
y = speed of runner 2
2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles
2x - 2y = 4
x - y = 2
x = y + 2
1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16
x + y = 16
y + 2 + y = 16
2y + 2 = 16
2y = 14
y = 7 miles / hour
x = y + 2 = 9 miles / hour
find the slope of the line
Answer:
Slope = 4
Step-by-step explanation:
Consider two set of point through which the line passes.
Let it be ( 0, 4 ) and ( -1 , 0)
Find slope .
[tex]Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )[/tex]
[tex]Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4[/tex]
A square has the same area as a rectangle with side of length 9 cm and 16 cm .What is the length of one side of the square ?
Answer:
12cm
Step-by-step explanation:
Area of square = Area of rectangle
Area of square = length x breadth
Area of square = 9 x 16 = 144(cm)^2
(side)^2 = 144
side = √144
side = 12cm
12cm
Step-by-step explanation:
area of square=area of rectangle
s^2=L*W
area of rectangle=length * width
area of rectangle=9cm*16cm=144cm^2
s^2 =144cm^2
s=12 cm
An excursion group of four is to be drawn from among 5 boys and 6 girls.
Find :
a. the number of ways of choosing the excursion group if the group :
i. Is to be made up of an equal number of boys and girls.
ii. Is to be either all-boys or all-girls.
III. Has no restriction on its composition.
b. Whatis the probability that a random choice of numbers from the group will result in 3 boys and 1 girl.
Answer:
Because you are recounting people several times. Say for example, let us number those people
{1,2,3,4} for the four girls and {1,2…7} for the boys.
One possible combination by your way is to fix one boy and girl each, say
{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.
Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.
A correct way would be to choose girls and then choose 5− boys for 1≤≤4
So we get ∑4=1(4)(75−)=441
Answer:
We need group of 4 out of group of 5 + 6 = 11 people.
Part A
i)
2 boys and 2 girls:
5C2 * 6C2 = (5*4/2) * (6*5/2) = 150 waysii)
4 boys or 4 girls:
5C4 + 6C4 = 5 + 15 = 20 waysiii)
No restrictions:
11C4 = (11*10*9*8)/(4*3*2) = 330 waysPart B
Combination of 3 boys and 1 girl:
5C3*6C1 = (5*4/2)*6 = 60Total number of ways is 330 (found above)
Required probability:
P(3 boys and 1 girl) = 60/330 ≈ 0.1818 = 18.18%On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
For more references on translation, click;
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Where? The crime was committed on the day and at one of the locations below, but which one? It happened where ALL the answers are true. B 5 cm oi -2 cm. 5 cm 9 cm 5 cm 3 cm 15 cm A 8 cm С 17 cm 8 cm 10 cm 1 cm 0.6 cm 7 cm D -15 cm 2 cm Monday in the gym The surface area of A is 150 cm 2. The volume of C is 8.4 cm 3 The volume of D is 750 cm The surface area of A is 1,500 mm 3 Tuesday in the dining The volume of B is 540cm room 3 The volume of D is 1200 cm 2 The surface area of A is 0.015 m 3 The volume of B is 0.00054 m The volume of D is 600 cm3 Thursday on the playing fields Friday in the maths classroom The surface area of A is 0.15 m 3 The volume of Dis 0.0006 m The volume of A is 125,000 mm3 The Accusation Who Where & when
9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
__
The Accusation: Thursday on the playing fields.
Answer:
{C} Thursday on the playing fieldGiven d= 4t+1 can you determine the value of the y-
intercept?
HELP!! asap!
skins legendary skins 100 points epic skins 50 points rare skins 25 points uncommon skins 10 points common skins 5 points this is a game
legendary skins
epic skins
rare skins
uncommon skins
common skins
Answer:
so legendary is twice epic
epic is twice rare
rare is 2.5 uncommon
uncommon twice common
Last question math please help
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A. sqrt2:1 O B. 1:1 Oc. C. 2:1 O D. 1:sqrt2
Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)
Solve the system by substitution.
- 2x – 10y = -2
-4y = x
Answer:
x = -4 and y = 1
Step-by-step explanation:
hope this helps please like and mark as brainliest