Using function concepts, it is found that the correct options are:
Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).What is the parent exponential function?The parent exponential function is defined by:
[tex]y = e^x[/tex]
In this problem:
When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.To learn more about function concepts, you can take a look at https://brainly.com/question/16948935
Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10
Answer:
-4x - 10
Step-by-step explanation:
Given the expression -2/3(6x+ 15)
Open the bracket
-2/3(6x+ 15)
= -2/3 (6x) -2/3(15)
= -2(2x) - 2(5)
= -4x - 10
hence the equivalent expression is -4x - 10
CAN ANYBODY GOOD WITH MATH HELP ME OUT PLEASE.
Answer:
Just put the money divided by the percent in a calculator-
Step-by-step explanation:
:/
35 : ? = 20 : 24
QUICKLY PLEASE!!
Answer:
35:42=20:24
Hope this helps!
help!!!
i need freinds :3
Answer:
me too
Step-by-step explanation:
Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!
the diameter of a pearl is about 4×10-¹⁴ cm and the diameter of an atom is about 10-¹¹ m. how much larger than an atom is a pearl?
Answer:
The diameter of an atom is 25000 times the diameter of a pearl.
Step-by-step explanation:
Given that,
The diameter of a pearl is [tex]4\times 10^{-14}\ cm[/tex]
The diameter of an atom is [tex]10^{-11}\ m=10^{-9}\ m[/tex]
Taking the ratio,
[tex]\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000[/tex]
So, the diameter of an atom is 25000 times the diameter of a pearl.
how do you find the volume of a cylinder describe which measurements of the cylinder you need to know
Answer:
To calculate the volume of a cylinder, you need to know its height and the area of its base. Because a cylinder is a flat-top figure (a solid with two congruent, parallel bases), the base can be either the top or bottom
Step-by-step explanation:
Answer:
Give other person brainlyest :D
Step-by-step explanation:
ASAPPPPPP ASWERRRR
I NEED HELPPPP
Answer:
3/12 = 2/8
Step-by-step explanation:
help fast !!!!!!!!!!!
Answer:
tbh I think its the middle one
Step-by-step explanation:
Answer:
2,3,1
Step-by-step explanation:
1 => 25-3=22
2 => 5-6 = -1
3 => 5- -3 = 8
An angle measures 48.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
65.8° and 114.2°
Step-by-step explanation:
Suplementary angles sum 180°
then:
a + b = 180° eq 1
a = b - 48.4 eq 2
replacing the value of eq 2 in eq 1:
(b-48.4) + b = 180°
2b - 48.4 = 180°
2b = 180 + 48.4
2b = 228.4
b = 114.2°
from the eq. 1
a = b - 48.4
a = 114.2 - 48.4
a = 65.8°
Check:
114.2° + 65.8° = 180°
A student committee is organizing a school dance as a fundraiser. The function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations
I assume you want this explained
Answer and explanation:
If the function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations then x number of tickets is an independent variable here that will determine the total amount of funds raised y(dependent variable)
The y intercept is -320 and the slope is 5
If for example the number of tickets sold = 100 tickets
Total amount of funds using the function :
f(100)= 5×100-320
=500-320
= $180
Answer:
The slope of the function is 5, and it represents the price of each ticket .
Step-by-step explanation:
PLEASE HELP I NEED THIS ASAP!!!What is the measure of an inscribed angle on a diameter? Move options into the blanks to identify and justify the measure B.
Answer: 180
Step-by-step explanation:
Find the value of x. Round to the nearest tenth if necessary.
Answer:
x
Step-by-step explanation:
What is the average speed of someone who walks 3 kilometers in 1 hour?
A. 3 m/h B. 0.33 km/h C. 3 km/h D. 0.33 km/h2
Hello! Please help me with this question. I’ll mark brainly! Thank you :)
Answer:
[tex]\Huge\boxed{\$ 12.12}[/tex]
Step-by-step explanation:
In order to find how much credit is left after 92 minutes, we need to
1. Figure out the equation that describes this graph (since we don't know the y-intercept)
2. Find the credit remaining after 92 minutes using the equation formed.
Figuring out the equation of this graph:First things first is to figure out the slope of this graph. Since this is a linear function, the slope will remain constant, and we can note something about slope here.
The slope of a line will be it's change in x divided by its change in y, often referred to with a formula.
[tex]\frac{\Delta y}{\Delta x}[/tex]
Since we know two points on this graph, we can find the changes in the x and y then divide for the slope.
Since minutes used is the x, and credit left is the y, we have two points.
(41, 19.26) and (68, 15.48).
The change in y is -3.78, as [tex]19.26-15.48=3.87[/tex], and we decreased, so -3.78.The change in x is 27 as [tex]68-41=27[/tex], and we increased.The slope will then be [tex]\frac{-3.78}{27}[/tex] which comes out to be -0.14.
Now that we know the slope, that means our equation will look something like [tex]y = -0.14x+b[/tex] - however, we still have b to solve for!
To solve for it, we can substitute one of our points in - let's do (41, 19.26) - to the equation and solve for b.
[tex]19.26 =-0.14 \cdot 41 +b[/tex] [tex]19.26 = -5.74+ b[/tex] [tex]b = 19.26+5.74[/tex] [tex]b = 25[/tex]Now that we know that b = 25, we can plug it into our equation, making the final equation that represents this scenario
[tex]y = -0.14x+25[/tex]
Solving for 92 minutesNow that we know the equation to our graph, we can substitute in 92 minutes as the x value to find our y value (credit left).
[tex]y = -0.14 \cdot 92 + 25[/tex] [tex]y = -12.88+25[/tex] [tex]y =12.12[/tex]Therefore, after 92 minutes, the amount of credit left is $12.12
Hope this helped!
f(x) is a function true or false?
Answer:
yes True
Step-by-step explanation:
thank you so much
Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side. There will be no spaces in between. How many stones are needed?
Answer: 6
Step-by-step explanation:
From the question, we are informed that Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side.
The number of stones that are need would be gotten by dividing 5 by 5/6. This would be:
= 5 ÷ 5/6
= 5 × 6/5
= 30/5
= 6
Therefore, the answer is 6.
What is the value of 5^2+0.8^2
Answer:
5^2=25 and 0.8^2= 0.64
Step-by-step explanation:
soo 25+0.64 equals..... 25.64!!!
x + 3y = 18
-X - 4y = -25
Answer:
x = -3
y= 7
Step-by-step explanation:
x + 3y=18 ----(1)
-x - 4y=-25 -----(2)
from equation (1)
x = 18 - 3y ---(3)
putting equation (3) into equation (2)
-(18 - 3y) - 4y = -25
18 + 3y -4y = -25
3y - 4y = -25 - 18
-y = -7
y = 7 ✓
Putting y=7 into equation (1)
x + 3(7) = 18
x + 21 = 18
x = 18 - 21
x = -3 ✓
Pls help ASAP it’s math
Answer:
5
Step-by-step explanation:
the image shows VW and SR to be congruent therefore the difference is 10 between the sizes. to find SP you subtract 10 from TW
15 - 10 = 5
Tamora's net pay is $420 per week. Create an equation for Tamora's net pay.
Answer: y = 420x
Step-by-step explanation:
y = Total pay
x = Number of weeks
420 = Number of dollars per week of net pay
Please Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!
A fish tank is 3 feet by 4 feet by 5 feet. How many cubic feet of water will it hold?
Answer:
60ft3
Step-by-step explanation:
Volume = length * breadth * height
= 3 * 4 * 5 = 60 (cubic ft)
When a system of linear equations has a
solution.... what am I actually finding when I
solve for x and y?
Answer:
You are finding the intersection point of the system of linear equations.
Step-by-step explanation:
You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.
What is the correct anwser and how
Answer:
D
Step-by-step explanation:
5+8=13
NOT 58
Answer: D
Step-by-step explanation:
Well 5+8=13 and not 58, so that’s why it’s incorrect
Measurement of <1 please help
Answer:
27°
Step-by-step explanation:
Triangles when all three sides are added up make up 180°. So In this problem you would need to add up 80 and 73 (153) then subtracting that number by 180 (27) to find the value/measurement of <1.
The radius of a circle is 1 centimeter. What is the area of a sector bounded by a 90° arc?
Answer:
[tex]Area = 0.785cm^2[/tex]
Step-by-step explanation:
Given
[tex]r = 1cm[/tex] -- radius
[tex]\theta = 90^{\circ}[/tex]
Required
Determine the area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
Substitute values for r and [tex]\theta[/tex]
[tex]Area = \frac{90}{360} * \pi * (1)^2[/tex]
Simplify 90/360
[tex]Area = \frac{1}{4} * \pi * (1)^2[/tex]
[tex]Area = \frac{1}{4} \pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]Area = \frac{1}{4} * 3.14[/tex]
[tex]Area = 0.785cm^2[/tex]
What is the greatest common divisor between 621 and 1035.
Answer:
207
Step-by-step explanation:
Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.
Answer:4,4
Step-by-step explanation:
what is -2k + (-4k) + 5
Please help due soon will give brainliest
Answer:
25.13in³
Step-by-step explanation: