Given series is 2.4,-4.8,9.6,-19.2
To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.
Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2
Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4
Since those common differences are not equal the given series does not have common difference at all.
To check if it has common ratio or not let us find few ratios of consecutive terms.
Common ratio of first 2 terms = =
Common ratio of 2nd and 3rd terms =
So, the given series has common ratio as -2.0
Answer:
The newspaper has 1750 readers.
Step-by-step explanation:
Divide 70 by 2: 35.
Then, multiply 35 by 50 which is equal to 1750.
Answer:
The number of
Small candles = x = 12 candles
Large candles = y = 16 candles
Step-by-step explanation:
You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
Let the number of
Small candles = x
Large candles = y
Our system of equations is:
x + y = 28 .......... Equation 1
x = 28 - y
A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
4x + 6y = 144......... Equation 2
Substitute 28 - y for x in Equation 2
4(28 - y) + 6y = 144
112 - 4y + 6y = 144
- 4y + 6y = 144 - 112
2y = 32
y = 32/2
y = 16 candles
x = 28 - y
x = 28 - 16
x = 12 candles
Therefore:
The number of
Small candles = x = 12 candles
Large candles = y = 16 candles
Answer:
Student is incorrect
Step-by-step explanation:
x^2-7x+10=0
x^2+2x-5x+10=0
x(x-2)-5(x-2)=0
(x-5)(x-2)=0
x-5=0 , x-2=0
x=5 , x=2
So the correct solutions of given equation is 2 and 5
The first step that we must take before solving a problem is to understand what the problem statement is asking us to do and what is given to us to do so. Looking at the problem they are asking what the slope of the line is. What is provided to us is an equation which was captured as .
The next step that we must take is to determine what the slope of the line is. Let us first define what slope is.
- Slope ⇒ Slope is the rate of change which can be expressed in an equation. For example, if a student buys 4 books per semester, the rate of change would be 4 as for every semester the student would add another 4 books.
Slope-Intercept form is a form in which an equation can be expressed in and it follows the y = mx + b format. M is equal to the slope while b displays the y-intercept of the expression.
The easiest way to determine the slope using slope-intercept form us by looking at the coefficient of the variable x (in this case) which is also known as m. Looking at our equation, we can see that the coefficient in front of the variable x is -2.
Therefore, the option that would best match the details that we provided would be option B, -2.