Begin by studying the pattern.
Notice that the difference between 0.8 and 1 is 0.2.
In other words, 0.8 + 0.2 is 1.
In the same way, 1 + 0.2 is 1.2.
1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.
So we can see that the difference
between each of the terms is 0.2.
Answer:
+.2
Step-by-step explanation:
To find the common difference, take the second term and subtract the first term
1 - .8 = .2
Check by subtracting the second term from the third term
1.2 - 1 = .2
The common difference is .2
hello, i need help pleaseeeeeeeeeeeeeeee
Answer:
f₁(x) = -3x + 2
f₂(x) = x - 4
f₃(x) = x + 8
f₄(x) = -2x - 6
f₅(x) = -3x
Step-by-step explanation:
1). Since function f₁ (blue line) passes through a point (0, 2) and (-2, 8)
Let the equation of the blue line is,
y = mx + b
Since slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{8-2}{-2-0}[/tex]
m = -3
Y-intercept 'b' = 2
Therefore, equation of the line will be,
y = -3x + 2
Linear function representing the line will be,
f₁(x) = -3x + 2
2). Let the equation of the red line passing through (0, -4) and (2, -2) is,
y = mx + b
Slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{-4+2}{0-2}[/tex]
m = 1
y-intercept 'b' = -4
Therefore, the linear function will be,
f₂(x) = x - 4
3). Let the equation of the green line passing through (-6, 2) and (-2, 6) is,
y = mx + b
Slope of the line 'm' = [tex]\frac{6-2}{-2+6}[/tex]
m = 1
y-intercept 'b' = 8
Therefore, linear function will be,
f₃(x) = x + 8
4). Let the equation of the yellow line passing through (-6, 6) and (-4, 2) is,
y = mx + b
Slope of the line = [tex]\frac{6-2}{-6+4}[/tex]
m = -2
y-intercept of the line 'b' = -6
Therefore, function representing the line will be,
f₄(x) = -2x - 6
5). Let the equation of the pink line is passing through (0, 0) and (-2, 6) is,
y = mx + b
Since the line is passing through origin, y-intercept 'b' = 0
Slope of the line = [tex]\frac{6-0}{-2-0}[/tex]
m = -3
Therefore, equation of the linear function will be,
f₅(x) = -3x
classify What type of number is the square root of 2
Answer:
The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 21⁄2, is the positive algebraic number that, when multiplied by itself, equals the number 2. Technically, it is called the principal square root of 2, to distinguish it from the negative number with the same property
Step-by-step explanation:
Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,−3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
[tex]y = 8x -67[/tex]
Step-by-step explanation:
Given
(9,5) and (8,-3)
Required
Determine the line equation
First, we need to determine the slope of the line: using
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where
[tex](x_1,y_1) = (9,5)[/tex]
[tex](x_2,y_2) = (8,-3)[/tex]
So;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]
[tex]m = \frac{5 +3}{9 - 8}[/tex]
[tex]m = \frac{8}{1}[/tex]
[tex]m = 8[/tex]
The line equation using point slope form is calculated as thus:
[tex](y- y_1) = m(x - x_1)[/tex]
Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have
[tex]y - 5 = 8(x - 9)[/tex]
Open the bracket
[tex]y - 5 = 8x - 72[/tex]
Make y the subject of formula
[tex]y = 8x - 72 + 5[/tex]
[tex]y = 8x -67[/tex]
The image below shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answer:
IJ = 2*KL
Step-by-step explanation:
Given that the smaller figure was dilated to create the bigger figure with a scale factor of 2, it therefore means, the dimensions of the smaller figure was increased by times 2 of its dimensions to create the bigger figure.
Thus, the relationship that would exist between line IJ and KL, is that IJ is twice the size of KL.
The relationship is: IJ = 2*KL
A son is 8 years old. His father is 5 times as old. How old was the father when his son was born?
Answer:
he was 32
Step-by-step explanation:
8x5 is 40 because he was born 8 years ago you subtract 8 from 40 to get 32
The function f is defined by the following rule
f (x) - 5+1
Complete the function table.
-5
-1
0
2
3
Answer:
The answer to your question is given below.
Step-by-step explanation:
1. f(x) = 5x + 1
x = – 5
f(x) = 5x + 1
f(–5) = 5(–5) + 1
f(–5) = –25 + 1
f(–5) = –24
2. f(x) = 5x + 1
x = – 1
f(x) = 5x + 1
f(–1) = 5(–1) + 1
f(–1) = –5 + 1
f(–1) = – 4
3. f(x) = 5x + 1
x = 1
f(x) = 5x + 1
f(1) = 5(1) + 1
f(1) = 5 + 1
f(1) = 6
4. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(2) = 5(2) + 1
f(2) = 10 + 1
f(2) = 11
5. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(3) = 5(3) + 1
f(3) = 15 + 1
f(3) = 16
Summary
x >>>>>>>> f(x)
–5 >>>>>> – 24
–1 >>>>>> – 4
1 >>>>>>>> 6
2 >>>>>>> 11
3 >>>>>>> 16
Type the correct answer in the box. Use numerals instead of words. Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).
By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is 5.
What is PEDMAS Rule?PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.
Given
7 + (5 – 9)2 + 3(16 ÷ 8)
By using PEDMAS rule,
= 7 + (-4)2 + 3(2)
= 7 + (-8) + 6
= 7 - 8 + 6
= -1 + 6
= 5
By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is 5.
Find out more information about PEDMAS rule here
https://brainly.com/question/24086845
#SPJ2
The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,
⇒ 29
Since, We knw that,
PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.
We have to given that,
Expression is,
7 + (5 - 9)² + 3(16 ÷ 8)
Now, Simplify By using PEDMAS rule,
= 7 + (5 - 9)² + 3(16 ÷ 8)
= 7 + (-4)² + 3(2)
= 7 + 16 + 6
= 23 + 6
= 29
Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29
Learn more about the equation visit:
brainly.com/question/28871326
#SPJ6
Deal A is at Walmart and they are selling 50 cupcakes for $30 dollars but gives you 10% discount. Deal B is at Costco gives you 50 percent more cupcakes at the same price at $30 of but no discount. which is a better deal.
Answer:
Deal B
Step-by-step explanation:
Deal A : $ 30 *10%=3 dollars
the price for 50 cupcake is 27 dollars (54 cent for one cupcake)
Deal B: 50*50%= 25 more cupcake
75 cupcake for 30 dollars ( 40 cents per cupcake)
Deal B is better than Deal A
m-m-1/2=1-m-2/3 ( will mark brainiest)
Answer:
Step-by-step explanation:
m= 1/2
this is answer ..........
hope it helps
pls mark my answer as the brainliest
Answer:
M = 5/6
Step-by-step explanation:
m-m-1/2=1-m-2/3
You combine like terms, in this case, the m-m and 1-2/3.
-1/2 = -m + 1/3
Now you need to isolate the m so you subtract 1/3 from both sides.
-1/3 - 1/2 = -m
Combine like terms again.
-5/6 = -m
But m needs to be positive so you divide both sides by -1.
m = 5/6
This should be the answer!
Please i need to know the meaning of this! : Thanks.
Evaluate the following expression.
28 – 10 – 15 = 3 =
and this is the order of operations
Answer:
28 - 10 - 15 - 3
=> 18 - 15 - 3
=> 3 - 3
=> 0
Another way:
=> 28 - 10 - 15 - 3
=> 28 - 25 - 3
=> 28 - 28
=> 0
The combined weight of three basset hounds is 185 pounds. The two smaller dogs weigh the same. The difference between the larger weight and the smaller weight is 20 pounds. How many pounds does the largest dog weigh?
Answer:
75 pounds
Step-by-step explanation:
(x) + (x) + (x+20) = 185
3x + 20 = 185
3x = 165
x = 55
Large dog = 55 + 20 = 75
Calculate JK if LJ = 14, JM = 48, and LM = 50
Answer:
JK = 6.86
Step-by-step explanation:
The parameters given are;
LJ = 14
JM = 48
LM = 50
[tex]tan(\angle JML )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{LK}{JM} = \dfrac{14}{48} = \dfrac{7}{24}[/tex]
[tex]tan \left( \dfrac{7}{24} \right)= 16.26 ^{\circ }[/tex]
∠JML = 16.26°
Given that ∠JML is bisected by KM, we apply the angle bisector theorem which states that a ray that bisects an interior angle of a triangle bisects the opposite (bisected angle facing side) in the proportion of the ration of the other two sides of the triangle.
From the angle bisector theorem, we have;
LM/JM = LK/JK
50/48 = LK/JK................(1)
LK + KJ = 14.....................(2)
From equation (1), we have;
LK = 25/24×JK
25/24×KJ + JK = 14
JK×(25/24 + 1) = 14
JK × 49/24 = 14
JK = 14×24/49 = 48/7. = 6.86.
JK = 6.86
If x^2 -8x=48 and x<0, what is the value of x+10?
Answer:
6
Step-by-step explanation:
To calculate x+10, we first need to find x. To do this, we can use the first equation.
We are given the equation:
[tex]x^2-8x=48[/tex]
To solve for x, turn one side of the equation into 0 and solve. Therefore:
[tex]x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12[/tex]
So, the possible values for x are -4 and 12.
However, we are also told that x<0. In other words, x must be negative. Thus, we can remove 12. That leaves us with: x=-4.
So:
[tex]x+10\\(-4)+10\\=6[/tex]
¿Qué pasa si el coeficiente del término cuadrático no es 1?
Answer:
NOT IN MY HOUSE SUNNY
Step-by-step explanation:
solve for x 13x + 7 = 5x - 20
Answer:
13x + 7 = 5x - 20
Step-by-step explanation:
SOLVE for X
13x + 7 = 5x - 20
-------------------------
-5x -7
------------------------
8x=-27
x= -3.375 or -27/8
Answer:
x = -27/8
Step-by-step explanation:
combine the x terms. To do this, subtract 5x from both sides. We get:
8x + 7 = -20.
Next, subtract 7 from both sides, obtaining:
8x = -27, or x = -27/8
[fill in the blank]
In this figure,AB and CD are parallel.
AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.
Answer:
1. GH
2. a
Step-by-step explanation:
Perpendicular: When 2 lines meet at 90 degrees
1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)
2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too
This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees
If EH = 80, calculate GF.
Answer:
The length of Segment GF is 120
Step-by-step explanation:
Given that EH = 80, and AB, GF, RH, and DI are parallel lines, we have;
DC ≅ DE ≅ EF ≅ FA Given
Therefore, CI ≅ HI ≅HG ≅ GB (Triangle proportionality theorem)
From where we have;
EH/GF =CH/CG (Intercept theorem otherwise known as Thales' theorem )
CH = 2 × CI (Transitive property of equality)
Also CG = 3 × CI (Transitive property of equality)
EH/GF = 2×CI/(3×CI) = 2/3
EH/GF = 2/3
80/GF = 2/3
Therefore we have;
Segment GF = 80 × 3/2 = 120
The length of Segment GF = 120.
120 U-U
Mostly cuz i looked it up and i am not explaining it cuz i dont wanna
Using the right triangle below, find the tangent of angle B.
시
A
600
0
3-13
300
B
Answer:1&3
Step-by-step explanation:
an elevator at a museum can travel 210 m upwards in 35 s. what is the elevators velocity
Answer:
6 meters per second upwards
Step-by-step explanation:
Hello!
To find velocity you divide the distance by the time it took to travel then you add your direction to it
The elevator went 210 m upwards in 35 seconds so we divide these numbers
210 / 35 = 6 meters per second upwards
The answer is 6 meters per second upwards
Hope this Helps!
E
What is the value of x in the equation 3x.. by y 18, when y27
Answer:
x = 15
Step-by-step explanation:
We need to find the value of x in the equation 3x – y = 18 when y = 27.
To find the value of x, put y = 27 in the above equation.
So,
3x - 27 = 18
3x = 45
x = 15
So, the value of x is 15.
Can someone help find the domain and range
Answer:
Domain : [-2, 6], {x | -2 ≤ x ≤ 6}
Range : [-6, 2], {y | -6 ≤ y ≤ 2 }
Step-by-step explanation:
Domain of a function is defined by the x-values on the graph of the function.
Similarly, y-values define the Range of the function.
From the graph of a circle,
Diameter of the circle along x-axis (horizontally) has the ends at x = -2 and x = 6
Therefore, domain of the circle will be [-2, 6], {x | -2 ≤ x ≤ 6}
Extreme ends of the diameter of the circle along y-axis are at y = 2 and y = -6
Therefore, range of the circle will be [-6, 2], {y | -6 ≤ y ≤ 2 }
PROVE THAT:
cos 20° - sin 20° = \sqrt{2}sin25°
Answer:
See below.
Step-by-step explanation:
[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]
First, use the co-function identity:
[tex]\sin(90-x)=\cos(x)[/tex]
We can turn the second term into cosine:
[tex]\sin(20)=\sin(90-70)=\cos(70)[/tex]
Substitute:
[tex]\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]
Now, use the sum to product formulas. We will use the following:
[tex]\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})[/tex]
Substitute:
[tex]\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)[/tex]
Use the even-odd identity:
[tex]\sin(-x)=-\sin(x)[/tex]
Therefore:
[tex]\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]
Replace the second term with the original term:
[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]
Proof complete.
a 4 1/2 hamburger patty has 25 1/2 grams of protein,and 6 ounces of fish had 32 grams of protein
Answer: 4.5 oz/25.5 g = 1 oz/X g
Step-by-step explanation: Crossed multiplies to solve for X.
NEED ASAP What is the quotient and remainder of 8,595 ÷ 24?
Answer:
358.125
Step-by-step explanation:
Answer:
358 3/24
Step-by-step explanation:
Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....
Answer:
[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]
Step-by-step explanation:
A geometric recursive formula has the form
[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]
where r is the common ratio
Here r = - 14 ÷ 7 = - 2, thus
[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7
Which of these relations are functions?
х
O
-2 6 2 -6
-5 21 15-15
y
11
y
4
2
O
x
4
-2
4
o
{(-5,-7), (-2,-7), (7,17), (-5,21)}
y
For each value of y, the number of value of x must be one. Then the correct options is D.
The complete question is attached below.
What is relation function?The relation function is given as, for every independent value, there is a dependent value.
Let the function be y = f(x).
For each value of x, the number of value of y may one or two.
But for each value of y, the number of value of x must be one.
Then the correct options is D.
More about the relation function link is given below.
https://brainly.com/question/2253924
#SPJ1
what is the value of the 8 1,082
Answer:
bbbbklhlhjljkhk
Step-by-step explanation:qwertyuiosdfghnjm,
xcvbnm,.sdfghuijk;m./
Answer:
[tex]\Large \boxed{tens}[/tex]
Step-by-step explanation:
We want to find out what 8 is in the number 1,082.
Let’s see the value of each number.
The 1 in 1,082 is in the one thousand place.
The 0 in 1,082 is in the hundreds place.
The 8 in 1,082 is in the tens place.
The 2 in 1,082 is in the ones place
We wanted to find what the value of 8 is, if you look above.. it says ‘The 8 in 1,082 is in the tens place’
Therefore the value of 8 is in the tens place.
If you have any questions, be free to ask!
Which could be the entire interval over which the
function, f(x), is negative?
(-8,-2)
(-8,0)
(-0, -6)
(00,-4)
What is the reflection image of
(5,−3)across the line
y=x
Answer: The Answer is (-5,-3)
hope so my answer is correct
Step-by-step explanation:
