Answers
Answer:
The equation of given graph is f(x)=[x]-6
C is correct
Step-by-step explanation:
We are given a graph and to find the equation of graph.
It is a graph of greatest integer function or floor function.
Parent function of greatest integer function:
[tex]f(x)=[x][/tex]
For x = 0 to x= 1 , f(x)=0
For x =1 to x=2 , f(x)=1
We are given a function,
For x = 0 to x= 1 , f(x)=-6
For x = 1 to x= 2, f(x) = -5
If we shift 6 unit down the parent function. We will get original function.
[tex]f(x)=[x]-6[/tex]
Hence, The equation of given graph is f(x)=[x]-6
Related Questions
What is the volume of a hemisphere with a diameter of 6 feet to the nearest hundredth of a cubic foot?
Answers
volume of a sphere is 4/3pir^3
so 1/2 of that would be 2/3pir^3
d/2=r
6/2=r=3
v=2/3pi3^3
v=2/3pi27
v=2pi9
v=18pi
aprox
v=56.548667764616278292327580899031 cubic feet
round
v=56.55 cubic feet
The volume the hemisphere is 56. 55 cubic feet
what is the volume of the hemisphere ?
The volume of a hemisphere is the space occupied by the hemisphere.
Formula used to find volume of the hemisphere is :
V = 2/3 × π × r ^3
Given : diameter = 6 feet
r = d/2 = 3 feet
V = 2/3 × π × 3 ^3
⇒ 2/3 × 22/7 × 27
V = 56.5486 cubic feet
round off to nearest hundredth is :
V = 56. 55 cubic feet
Hence , the volume of hemisphere is 56. 55 cubic feet .
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Which number is not in scientific notation?
A) 9 ⋅ 10 to the power of 19
B) 7.8 ⋅ 10 to the power of 6
C) 1.45 ⋅ 10to the power of −7
D) 0.33 ⋅ 10 to the power −15
Answers
for scientific notation you want a whole number multiplied by 10 to a power
so since D is a decimal ( 0.33) that is not scientific notation
12 times h equals 120 minus 36
Answers
120-36=84.
84÷12=7 (we do this to figure out 12 times what equals 84, and now we know it's 7)
So 12×7=120-36
The correct answer is 7.
Can someone help me please? I don't know how to do this problem, could someone explain step by step? It would be greatly appreciated. I've also included 15 points to whoever answers this.
Answers
Take the 2's out to get 6(2)root 3.
6*2=12 so that simplifies to 12 root 3
Now just subtract 12 root 3 and root 3
This leaves you with eleven root 3
Final answer: C
4(8x-8)=-192 what's that mean and can someone help me asap
Answers
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
Answers
So, the line parallel to s is q, which has these two points: (3,6) and (6,3)
There are different ways to get the line. For instance, this one:
y = a*x+b,
a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,
y = -x + b,
Now use any point, say (3,6) to get b:
6 = -3+b-> b = 9,
line is y = -x + 9,
It checks out in the other point: (6,3) --> 3 = -6+9 = 3. Good.
Other method could be:
y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.
Hope it helps!
The side that is parallel to side s is side q. The equation of side q is: y = -x + 9.
What is the Equation of a Line?We can represent the equation of a line as, y = mx + b, where m is the slope of the line and b is the y-intercept.
The side that is parallel to side s is q.
Slope (m) of q = change in y / change in x = (6 - 3) / (3 - 6) = 3/-3 = -1.
Substitute m = -1 and (3, 6) = (a, b) into y - b = m(x - a):
y - 6 = -1(x - 3)
y - 6 = -x + 3
y = -x + 3 + 6
y = -x + 9
Equation of the side that is parallel to side s is: y = -x + 9.
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Factor the trinomial below.
x^2-5x-14
A. (x-2)(x-7)
B. (x+2)(x-7)
C. (x+2)(x+7)
D. (x-2)(x+7)
Answers
Proof:
-7+2=-5
-7*2=-14
Also, when you FOIL it becomes
x^2-7x+2x-14
That simplifies to
x^2-5x-14
Answer:
The factored form is
[tex]x^2-7x+2x-14=(x+2)(x-7)[/tex]
Step-by-step explanation:
Given the trinomial
[tex]x^2-5x-14[/tex]
we have to factor the above trinomial.
[tex]x^2-5x-14[/tex]
By middle term splitting method
[tex]x^2-7x+2x-14[/tex]
Taking x common from first two terms and 2 from last two terms
[tex]x(x-7)+2(x-7)[/tex]
[tex](x+2)(x-7)[/tex]
which are required factors.
Hence, option B is correct.
write the polynomial in standard form 4g – g3 + 3g2 – 2
Answers
-g3 + 3g2 + 4g - 2
The required standard form of the polynomial is -g³ + 3g² + 4g - 2.
To write the polynomial in standard form 4g – g3 + 3g2 – 2
the equation is the relationship between variables and is represented as y =ax + c is an example of a polynomial equation.
What is a polynomial function?
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
The standard form of the polynomial equation is written equation is descending order of the exponents of the variable.
= 4g – g3 + 3g2 – 2
= -g³ + 3g² + 4g - 2./
Thus, the required standard form of the polynomial is -g³ + 3g² + 4g - 2.
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Choose the equation that represents the graph below: Graph of a line passing through points 0 comma 6 and 9 comma 0 y = −2x − 6 y = two thirdsx + 6 y = −two thirdsx + 6 y = 2x + 6
Answers
Answer: y=[tex]\frac{-2}{3} x+6[/tex]
Step-by-step explanation: equation of line passing through (x1,y1) and (x2,y2) is given by
y-y1=[tex]\frac{y2-y1}{x2-x1} (x-x1)[/tex]
here (x1,y1)=(0,6) and (x2,y2)=(9,0)
y-6=[tex]\frac{0-6}{9-0} (x-0)[/tex]
y-6=[tex]\frac{-2}{3} x[/tex]
y=[tex]\frac{-2}{3} x+6[/tex]
Convert 0.0000001 to a power of 10.
107
10−7
106
10−6
Answers
10^-7
10^-7 = 0.0000001
when the number is a decimal the power is a negative number
I just need this really quickly please, I have 20 minutes till due.
What is 3/4/1/4 plz anyone help meee!!!!!!
Answers
Which graph represents y = |x2| − 3x − 4?
Answers
It's a parabola open upward (a>0) with a axis of symmetry (-b/2a) = 3/2 and y intercept = 4 ( for x=0, y=4).
Moreover x intercepts (roots of the quadratic) → x₁ = 4 and x₂ = -1
All the above correspond to the last graph
Then it's the last graph
The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 15 square inches and a height of 7 inches?
Answers
Answer:
35
Step-by-step explanation:
The volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Suppose the base of the pyramid has length = L units and width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (L × B × H) / 3
V = (Base area x H) / 3
The volume of a pyramid varies jointly with the base area of the pyramid and its height.
The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches.
Then the volume of a pyramid with a base area of 15 square inches and a height of 7 inches will be
V = (15 x 7) / 3
V = 35 cubic inches
Hence, the volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.
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Solve the triangle. A = 54°, b = 11, c = 8
options:
No triangles possible
a ≈ 13.4, C ≈ 49.6, B ≈ 76.4
a ≈ 13.4, C ≈ 45.6, B ≈ 80.4
a ≈ 9, C ≈ 45.6, B ≈ 80.4
Answers
For finding side a, you can answer this easily by the Law of Cosines. The equation is
a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9
Then, we use the Law of Sines to find angles B and C. The formula would be
a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°
9/sin54° = 8/sinC
C = 45.6°
The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
In square QRST, points U and V are midpoints. If the square has a side length of 18 mm, what is the probability that a point chosen at random in the square lies in the shaded triangle region? Round the answer to the nearest thousandth. A. 0.028 B. 0.056 C. 0.125 D. 0.222
Answers
The formula for the area of triangle is b h / 2
Where:b = h = half of side length of square = 9 mm
Area of triangle = 9 mm * 9 mm / 2
Area of triangle = 40.5 mm^2
Area of square = s^2
Area of square = (18 mm)^2
Area of square = 324 mm^2
Probability that a point is in the shaded region
= Area of triangle / Area of square
= 40.5 / 324
= 0.125
The answer is letter C. 0.125
Answer:
C.
Step-by-step explanation:
Do all rational equations have a single solution? why? is there a time when a rational equation doesn't have a solution?
Answers
How does changing the function from f(x) = −5 cos 2x to g(x) = −5 cos 2x − 3 affect the range of the function?
Answers
Answer:
[-8,2]
Step-by-step explanation:
We are given that the function f(x) is transformed to the function g(x), where,
[tex]f(x) =-5 \cos 2x[/tex] and [tex]g(x) =-5 \cos 2x-3[/tex].
Since, the range of [tex]\cos x[/tex] is [-1,1].
Thus, the range of [tex]a\cos bx[/tex] is {-a,a].
So, the range of [tex]f(x) =-5 \cos 2x[/tex] is [-5,5].
As, we are translating the function f(x) 3 units downward to get g(x).
The graph of the function is shifted 3 units down.
So, the range of g(x) will be [-5-3,5-3] = [-8,2].
Hence, the range of [tex]g(x) =-5 \cos 2x-3[/tex] is [-8,2].
write a conditional statement that correctly describes each venn diagram
I REALLY NEED HELP WITH THIS!!!!!!!!!!!!
Answers
if 2x = 4, then x = 2
A conditional statement that correctly describes each Venn diagram include the following;
I. If m∠A = 40, then it represent acute angles.
II. If 2x = 4, then x is equal to 2.
What is a conditional statement?In Mathematics, a conditional statement is a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, a conditional statement typically has the form "if P then Q."
Where:
P and Q represent sentences or statements.
Part I.
Based on the Venn diagram shown in the image above, we can logically deduce the following conditional statement;
"If m∠A = 40, then it represent acute angles."
All acute angles are less than 90 degrees.
Part I.
Based on the Venn diagram shown in the image above, a conditional statement that correctly describes it can be written as follows;
"If 2x = 4, then x is equal to 2."
Proof:
2x = 4
x = 4/2
x = 2
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Two points in the xy plane have cartesian coordinates (2.00, 24.00) m and (23.00, 3.00) m. determine (a) the distance between these points and (b) their polar coordinates
Answers
The distance between the two points is approximately 29.70 m. The polar coordinates of the points are approximately (24.20 m, 1.46 radians).
Explanation:To find the distance between two points in the Cartesian coordinate plane, we can use the distance formula.
The distance between the points (2.00, 24.00) m and (23.00, 3.00) m is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
d = sqrt((23.00 - 2.00)^2 + (3.00 - 24.00)^2)
d = sqrt(441 + 441)
d = sqrt(882)
d ≈ 29.70 m
The polar coordinates of a point (x, y) can be found using the formulas:
r = sqrt(x^2 + y^2)
p = atan2(y, x)
Plugging in the values, we get:
r = sqrt(2.00^2 + 24.00^2)
p = atan2(24.00, 2.00)
r ≈ 24.20 m
p ≈ 1.46 radians
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If it takes 4 people 4 days to dig a hole, how long does it take 2 people to dig a half-hole
Answers
A right triangle has legs that are 10.1 inches and 12.2 inches long. what is the approximate length of the hypotenuse?
Answers
(10.1)^2+(12.2)^2=c^2
102.01+148.84=c^2
250.85=c^2
15.8=c
Hypotenuse is approx 15.8 inches
Answer:
A right triangle has legs that are 10.1 inches and 12.2 inches long. What is the approximate length of the hypotenuse?
6.8 inches
15.8 inches
22.3 inches
125.5 inches
B. 15.8 inches is the correct option
What is the length Jc EF in the right triangle below.
Answers
EF² = DE² - DF²
EF² = 39² - 15² = 1521 - 225 = 1296
EF = √1296 = 36 units
ANSWER QUICK AND EXPLAIN HOW TO SOLVE
Answers
The area of the small triangle is 10.5 meters squared and the area of the larger triangle is 94.5 meters squared. If the altitude of the large triangle is 9, what is the altitude of the smaller triangle?
Answers
[Area of larger triangle]/[Area of smaller triangle]
=94.5/10.5
=9
but;
linear scale factor=sqrt[area scale factor]
=sqrt9
=3
the length of the smaller triangle will be:
3/1=9/x
3x=9
hence;
x=9/3=3
the answer is 3 meters
A hybrid car can travel 45 miles on 1 gallon of gas. Determine the amount of gas needed for a 500 mile trip
Answers
they can drive 45 miles on 1 gallon, so divide 500 by 45
500/45 = 11.11
they would need 11.11 gallons of gas
find the point that splits segment cd in half if point c is located at (-2,4) and point d is located at (3,7)
Answers
x1+x2/2
so
-2+3/2
=1/2
=0.5
Answer: The required co-ordinates of the point are (0.5, 5.5).
Step-by-step explanation: We are given to find the co-ordinates of the point that splits CD in half if point C is located at (-2,4) and point D is located at (3,7).
The point that splits the line segment CD in half will be the mid-point of the segment CD.
We know that
the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by
[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Therefore, the co-ordinates of the given point that splits CD in half are given by
[tex]\left(\dfrac{-2+3}{2},\dfrac{4+7}{2}\right)=\left(\dfrac{1}{2},\dfrac{11}{2}\right)=(0.5,5.5).[/tex]
Thus, the required co-ordinates of the point are(0.5, 5.5).
Two men, 400 feet apart, observe a balloon between them; it is in the same vertical plane as they are. The respective angles of elevation of the balloon are observed by the men to be 75°20' and 49°30'. Find x rounded to the nearest whole number.
Answers
Note that
75° 20' = 75.333°
49° 30' = 49.5°
From the figure shown below, obtain by definition,
a = x cot 49.5° = 0.8541x
b = x cot 75.333° = 0.2617x
Because a + b = 400 ft, therefore
0.8541x + 0.2617x = 400
1.1158x = 400
x = 358.49 ft
Answer: 358 ft (nearest whole number)
Answer:
471 ft.
Step-by-step explanation:
PLEASE HELP ILL GIVE A BRAINLIEST IF YOU ARE RIGHT!
Describe how to obtain the graph of the transformed function below from its parent function.
y=-1/2(x+1)^3-5
A.
The parent function y=x^3 is vertically shrunk by a factor of 1/2, reflected over the x-axis, shifted 1 unit to the left, and shifted 5 units down.
B.
The parent function y=x^3 is reflected over the x-axis, shifted 1 unit to the right, and shifted 5 units down.
C.
The parent function y=x^3 is vertically shrunk by a factor of 2, reflected over the x-axis, shifted 1 unit to the left, and shifted 5 units up.
D.
The parent function y=x^3 is vertically stretched by a factor of 1/2, reflected over the y-axis, shifted 1 unit to the right, and shifted 5 units down.
Answers
A new parking lot is being built for a medical office. the expression representing the number of parking spots in the new lot is 15x/4 -9 , where x represents the number of parking spots in the first row . how many spots are in the parking lot if there are 32 parking spots in the first row
Answers
its 69---------------------------------
Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)
Answers
slope=m=(y2-y1)/(x2-x1)
m=(-6-3)/(-6-3)
m=-9/-9
m=1
Point slope form is y-y1=m(x-x1) where m=slope and (x1,y1) is any point on the line so using m=1 and (3,3) we have:
y-3=x-3 but the standard form is ax+by=c so we need to solve for the constant...
y-3=x-3 subtract x from both sides
y-x-3=-3 add 3 to both sides
y-x=0 and x should have a positive coefficient...divide both sides by -1
x-y=0