Answer:
0
Step-by-step explanation:
f(x) = 1 - x
g(x) = 1-X
f(x) - g(x) = 1-x - (1-x)
Distribute
=1-x-1 +x
Combine like terms
0
Evaluate the following expression
Answer:
Hope this is correct
Step-by-step explanation:
HAVE A GOOD DAY!
Find the vertex of the graphed function. f(x) = |x − 4| + 3 The vertex is at (, ).
Answer:
(4, 3)
Step-by-step explanation:
Your vertex is at (h, k). h is 4 and k is 3 in the equation. Alternatively, you could graph this and trace the graph to find the vertex.
ASAP help plz❤️❤️❤️Urgent
Answer:
Answer to the first part is 2.5 hours.
Step-by-step explanation:
T = 150/60
= 2.5 hours
Best Regards!
Which equation is an example of the commutative property of multiplication?
O (4 + 21) = (21 + 4)
O (4 + 21)(3-51) = (3-51)(4 + 21)
(4 + 21(3-51) = (4 + 21)(3-51(1)
(4 + 21) = (4 + 21 + 0)
Answer:
the answer is (4 + 21)(3-51) = (3-51)(4+ 21)
The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).
What is Commutative Property?The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.
According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.
Let A and B be the two integers, then;
A × B = B × A
As, we know commutative Property supports multiplication and Addition.
First, (4 + 21) = (21 + 4)
This is Commutative Property of Addition.
Second, (4 + 21)(3-51) = (3-51)(4 + 21)
This is Commutative Property of Multiplication
Third, (4 + 21(3-51) = (4 + 21)(3-51(1)
No property can be applied.
Fourth, (4 + 21) = (4 + 21 + 0)
This is expansion.
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Help me.............Please, i am not good at maths, brainliest will be given, THANK YOU!!!!!
Answer:
2.5 cm
Step-by-step explanation:
The volume of the prism is the area of the cross-section times the length.
The area of the cross-section is the area of a triangle.
4h×1/2×7 = 35
Multiply and solve for h.
14h = 35
Divide both sides with 14.
h = 35/14
h = 5/2
h = 2.5
2.5cm
and here welcome friend card
10 ft
8 ft
Find the perimeter of this figure to the
nearest hundredth. Use 3.14
Answer:
48.56 ft
Step-by-step explanation:
==>Given:
A rectangular figure joined with a half circle with the following dimensions:
Length of rectangle (l) = 10ft
Width of rectangle (w) = 8ft
Diameter of the half circle (d) = the width of the rectangle = 8ft
π = 3.14
==>Required:
Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle
==>Solution:
Perimeter of rectangle = 2(l + w)
Perimeter of half circle = ½ of circumference of a circle = ½πd
Perimeter of the figure = 2(10 + 8) + (½*3.14*8)
= 2(18) + (3.14*4)
= 36 + 12.56
Perimeter = 48.56 ft (to the nearest hundredth)
Answer:56.56
Step-by-step explanation:
For the perimeter of a rectangle
P = 2 × (a + b)
P = 2 × (8 + 10)
P = 2 × 18
P = 36
For the perimeter of a semicircle
P = (pi × r) + (2 × r)
Diameter = 8
Radius = 8/2
Radius = 4
P = (3.14 × 4) + (2 × 4)
P = 12.56 + 8
P= 20.56
Perimeter of this figure
P = r + c
P = 36 + 20.56
P = 56.56
Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.
Answer:
195 m.
Step-by-step explanation:
The time for the sound waves to reach the fish is 0.26/2 = 0.13 seconds.
Distance = speed * time
= 1500 * 0.13
= 195 m.
can i get help for this please
Answer:
65 units^2Step-by-step explanation:
[tex]Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65[/tex]
Answer:
60
Step-by-step explanation:
Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.
given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
(Multiple Choice, 20 pts)
Solve the rational equation x divided by 4 equals x squared divided by quantity x plus 2 end quantity, and check for extraneous solutions.
A. x = two thirds; 0 is an extraneous solution
B. x = 0; x = two thirds is an extraneous solution
C. x = 0 and x = two thirds
D. No solution
Answer:
B.
Step-by-step explanation:
Step 1: Cross-multiply
x² + 2x = 4x²
Step 2: Isolate x's
2x = 3x²
0 = 3x² - 2x
Step 3: Factor
x(3x - 2) = 0
Step 4: Find roots
x = 0, x = 2/3
Step 5: Double check answers.
When you do so, you should see that only x = 0 works. And we have our answer!
Answer:
its c man its c
Step-by-step explanation:
Write the point-slope equation for each line with the given slope and point. y –y1 = m(x – x1) Slope = 5 Point on line = (–1, 3)
Answer:
[tex]y-3=5(x+1)[/tex]
Step-by-step explanation:
Point-Slope form is: [tex]y-y_1=m(x-x_1)[/tex]
'm' - Slope
(x1, y1) - Point Coordinate
We are given the point of (-1,3) and the slope of 5.
Replace 'm' with 5, 'x1' with -1, and 'y1' with 3:
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-3=5(x+1)}[/tex]
What is the slope of the line on the graph below 1/5 1/3 3 or 5
Answer:
1/3
Step-by-step explanation:
We are given to find the slope of the line shown on the graph.
We note that
the line on the graph passes through the points (3, -4) and (6, -3).
The slope of a straight line passing through the points (a, b) and (c, d) is given by
m=\dfrac{d-b}{c-a}.m=
c−a
d−b
.
Therefore, the slope of the given line is
\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}
m=
6−3
−3−(−4)
⇒m=
3
−3+4
⇒m=
3
1
.
Thus, the required slope of the line is \dfrac{1}{3}.
3
1
.
Option (B) is CORRECT.
Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2
If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.
Which graph do we get when the leading coefficient is negative?Here we start with the polynomial:
[tex]f(x) = 2x^4 + 2x + 2[/tex]
The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.
Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).
The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.
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Let f(x)=5x and g(x)= -x+1. Find f o g(ONLY 2 HOURS TO ANSWER!)
Answer: (b) -5x + 5
Step-by-step explanation:
f(x) = 5x g(x) = -x + 1
f(g(x)): g(x) = -x + 1 f(-x + 1) = 5(-x + 1)
= -5x + 5
Given: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Answer:
m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°
Step-by-step explanation:
[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\
\therefore \angle BKA = 90\degree \\
In\:\triangle BKA, \\\\
\cos \angle A = \frac{AK}{AB}\\\\
\cos \angle A = \frac{3}{6}\\\\
\cos \angle A = \frac{1}{2}\\\\
\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\
\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]
Since, adjacent angles of a parallelogram are Supplementary.
[tex] \therefore \angle A + \angle B = 180\degree \\
\therefore 60\degree + \angle B = 180\degree \\
\therefore \angle B = 180\degree - 60\degree\\
\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]
Since, opposite angles of a parallelogram are congruent.
[tex] \therefore \angle C = \angle A
\\
\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\
\therefore \angle D = \angle B
\\
\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]
Which equation would you use to solve the problem," Four less than the product of 3 and a number is 15"
A) 3n - 4 = — 15
B) 3 (n - 4) = — 15
C) 4 - 3n = — 15
D) 4(3n - 4) = 15
Answer:
The correct option is a) 3n - 4 = 15
Step-by-step explanation:
The product of 3 and a number means 3 multiplied by a number (n)
So it'll be 3*n or simply 3n
Now, it says 4 less than the product
So 4 less than 3n
That is equal to 3n minus 4 or 3n -4
So we come to the conclusion that
3n - 4 = 15
Hope this helps!
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answer:
Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one
Step-by-step explanation:
Sorry ignore this
Answer:
Boys : Girls = 5 : 7
Jeff should find the number of girls at first.
Step-by-step explanation:
Boys - 10
Girls - 24 - 10 = 14
Boys : Girls = 10 : 14
Boys : Girls = 5 : 7
Jeff did not find the number of girls, he took the number of all students instead.
A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?
Answer:
3 meters per second.
Step-by-step explanation:
Change in elevation = distance / time
= 18/6
= 3 meters / second.
.
help me, please asap
Answer:
sup!
the answer is
a point on (0,-1) and (1,3)
Step-by-step explanation:
hope this helps
Edmund makes a cube using eight small cubes. Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. How many more cubes does Samuel use than Edmund?
Answer:
Step-by-step explanation:
The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m
Each side of the cube made is 2m
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are
Length = 2 × 2 = 4m
Width = 3 × 2 = 6m
Height = 4 × 2 = 8m
Volume = length × width × height
Volume = 4 × 6 × 8 = 192 m³
Number of small cubes used is 192/1 {= 192
The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes
Five gallons of water need to be shared equally among 6 people. How many gallons of water will each person get?
Answer:
5/6
Step-by-step explanation:
To distribute the water equally, you divide the 5 gallons of H2O by 6 people. You will get the fraction 5/6 as your answer.
YOOO PLZ HELP ASAP!!!
Answer:
Step-by-step explanation:
its B
Answer:
B
Step-by-step explanation:
Need help with 8-10 didn’t understand this
Answer:
8 is -5
9 is (-2,3)
10 is -10
A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
0.24731182795 to 1 Decimal Place
Answer:
0.2
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
Mark the first decimal place
Examine the second decimal place and if it is lower than five we round down and vice versa
Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
Divide x^3 - x - 6 by x - 2
Answer:
x^2 +2x + 3
Step-by-step explanation:
x^3 - x -6 / x-2
Step one - FACTOR x^3:
(x-2)(x^2+2x+3) / x-2
Step two - CANCEL the common factor of x-2
x^2+2x+3
can i have some help please?
Answer:
42°
Step-by-step explanation:
given OA and OC are perpendicular, the angle between the lines are 90°
this means that ∠AOB and ∠BOC add up to 90°, i.e.
(6x-6) + (5x+8) = 90
6x-6 + 5x+8 = 90
11x - 6 +8 = 90
11x + 2 = 90 (subtract 2 from both sides)
11x = 90- 2
11x = 88 (divide both sides by 11)
x = 8
Hence, m∠BOC
= 6x - 6
= 6(8) - 6
= 48 - 6
= 42°
Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1
Answer:
(1+2)3
Step-by-step explanation: it equals 9 the the other expressions equal 8 0 and 6 so option one is the greatest value.
What is the slope of a line that is perpendicular to the line 2y – 3x = 8
Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -3x=8
Add 3x to each side
2y-3x+3x= 8+3x
2y = 3x+8
Divide by 2
2y/2 = 3/2x +8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4