Answer:
98 or 18
Step-by-step explanation:
Let's call the numbers 3x and 7x. We have two cases, either 42 is 3x or 42 is 7x. Looking at the first case, if 3x = 42, x = 14 which means the other number is 7 * 14 = 98. Looking at the second case, if 7x = 42, that means x = 6 so the other number is 3 * 6 = 18.
Answer:
8
Step-by-step explanation:
96/12=8
The difference of 2.5 x 
- 1.5 x 10³ is 2.35 x .
<h3>What is the difference?</h3>
Difference is the result of the subtraction of two or more numbers. The numbers are written in scientific notation. Scientific notation is a method that is used to write large numbers.
The exponent of the numbers have different value. In order to evaluate them, they have to have the same values.
2.5 x - 1.5 x 10³
2.5 x - 0.15 x
2.35 x
To learn more about scientific notation, please check: brainly.com/question/25334755
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y = - 8x - 18
the equation of a line in ' slope-intercept form ' is
y = mx + c (m is slope and c the y-intercept )
here m = - 8 ⇒ y = - 8x + c
to find c substitute ( - 3 , 6 ) into the equation
6 = 24 + c ⇒ c = 6 - 24 = - 18
y = - 8x - 18 is the equation
Answer:
Domain -∞ < x < +∞
Range f(x) ≤ - 4
Step-by-step explanation:
The given quadratic function is f(x) = - 4 (x + 1)² - 4
Now, we have to find the domain and range of the quadratic function.
Now, it is clear from the given function that f(x) will have real value for all real value of x.
Therefore, the domain of the function is -∞ < x < +∞ (Answer)
Now, (x + 1)² is always ≥ 0
i.e. (x + 1)² ≥ 0
⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}
⇒ - 4 (x + 1)² - 4 ≤ - 4
⇒ f(x) ≤ - 4
Therefore, this is the required range of the function f(x). (Answer)
