Answer:
A
Step-by-step explanation:
not sure if it is correct
Find f(0), f(3), and f(5) for the following function: f(x) = 3x + 1
f(0) =
f(3) =
f(5) =
Answer:
1, 10, 16
Step-by-step explanation:
Substitute the given values of x into f(x)
f(0) = 3(0) + 1 = 0 + 1 = 1
f(3) = 3(3) + 1 = 9 + 1 = 10
f(5) = 3(5) + 1 = 15 + 1 = 16
The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exponential model. You will create both and then look at the true population increase and decide which model is closer the the true growth.
The actual U.S. population data (in millions) was:
Which model provides a better forecast for the U.S. population for the year 2030, linear or exponential or neither?
Question 5 options:
Linear model
Exponential model
Neither
Answer:
The linear model means that there is a uniform increase and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .
This means an increase of 250 − 92 = 158 million in 1990 -1910 = 80 years or 158 80 = 1.975 million per year and in x years it will become 92 + 1.975 x million people. This can be graphed using the linear function 1.975 ( x − 1910 ) + 92 ,
graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}
The exponential model means that there is a uniform proportional increase i.e. say p % every year and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .
This means an increase of 250 − 92 = 158 million in 1990 − 1910 = 80 years or
p % given by 92 ( 1 + p ) 80 = 250 which gives us ( 1 +p ) 80 = 250 92 which simplifies to p = ( 250 92 ) 0.0125 − 1 = 0.0125743 or 1.25743 % .
This can be graphed as an exponential function 92 × 1.0125743 ( x − 1910 ) , which gives population in a year y and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}
Step-by-step explanation:
Hope this helps
can anybody help me with this?
Use this graph of f to find the solutions to f(x) = 0.
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.
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The Correct choice is ~
A. [tex]-{x}^{2}+x+3[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The solution is in attachment ~
help me im having trouble on slopes
Answer:
The slope-intercept form of an equation looks like this: y=mx+b
The m stands for the slope and the b stands for the y-intercept.
We need two points from the line to write out this equation.
For example (-2,0) and (1,2)
Now that we have the slope, we can plug it into our equation: y= 2/3x + b
To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)
Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3
Step-by-step explanation:
[tex]m= \frac{y1-y2}{x1-x2} = \frac{0-2}{-2-1}[/tex]
[tex]m=\frac{-2}{-3} = \frac{2}{3}[/tex]
[tex]0=\frac{2}{3}(-2)+b[/tex]
[tex]0=-\frac{4}{3}+b\\ 0+\frac{4}{3}=-\frac{4}{3}+\frac{4}{3}+b\\ 0+\frac{4}{3}=b\\ \frac{0*3}{3}+\frac{4}{3}=b\\ \frac{4}{3}=b[/tex]
Consider the line y=-1/2x+9 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?
Answer:
Parallel line slope = - 1/2
Perpendicular line slope = 2
Step-by-step explanation:
1 pts
Graph the linear function y +8 = 2(x + 2)
-8
4
8
o
IA
2,8)
(014)
Answer: In the picture
please give me a brainliest answer
If f(x) = 2x^2 - 3 and g(x) = x + 1, find g(f(x)).
Group of answer choices
2x^2 - 2
2(x+1)^2 - 3
2x^2 + 2
2x^3 + 2x^2 - 3x - 3
Answer:
g(
x
2
−
3
)
=
2
x
2
−
7
Step-by-step explanation:
brainliest
First one will be marked brainest GOOD LUCK!!!
Answer:
The 3rd one
Step-by-step explanation:
Answer:
the third option
Step by step explanation
what is the unit rate of 588 and 12
Answer:
49
Step-by-step explanation:
588 divided by 12 49
___ = -------
12 divided by 12 1
Hope this helped, click thanks if it did
v = u + wz, make z the subject
solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24
PLease answer ASAP BRAINLEST!!1
Answer:
-7(2x-3y+.7)
Step-by-step explanation:
-14x+21y-4.9
Rewrite in terms of -7
-7 * 2x -7*-3y-7 *.7
Factor out -7
-7(2x-3y+.7)
Convert the speed of sound 767 miles per hour to meters per hour. [1000
meters = 0.62 miles]
Solve the equation −4(x − 1) + 6x = 2(17 − x)
solve for x.
Answer:
x = 15/2
Step-by-step explanation:
-4x + 4 + 6x = 34 - 2x
2x + 2x = 34 - 4
4x = 30
x = 30/4
x = 15/2
rewrite the fraction 1/6 as a division expression with the same numbers.
Answer:
1 ÷ 6
Step-by-step explanation:
1/6 is the same as 1 ÷ 6
In the same way, 2/3 would be 2 ÷ 3
Hope this helps!
The perimeter of the rectangle below is 65 inches.
a. What is the value of x?
b. What are the dimensions of the rectangle?
Answer:
A :-) Given -
perimeter = 65 inches
Side ‘a’ = 2x
Side ‘b’ = 3 1 by 4x + 1
Solution -
Perimeter = 65
= a + b = 65
= 2x + 3 1 by 4x + 1 = 65
( 3 1 by 4 = 4 x 3 + 1 = 12 + 1 by 4
= 13 by 4 )
= 2x + 13 by 4x + 1 = 65
= 2x + 13 by 4x = 65 - 1
= 2x + 13 by 4x = 64
= 15 by 4 x = 64
= x = 64 x 4 by 15
= x = 256 by 15
= x = 17.06
.:. The value of x = 17.06.
hot pizza have a discount offering 20% discount on all its pizzas
the pizza is reduced to £5.60 what is the original price of the pizza?
Help with answer 10 please!!!
Answer:
b, d, e, f
Step-by-step explanation:
if there is direct variation then one variable equals the other by a constant
for example, y = 2x would indicate that every 'x' value is twice the 'y' value
therefore:
the line must be straight
pass through the point of origin
each point represents the same ratio
points are connected to form a straight line
Can some pls help me
Answer:
5.29
Step-by-step explanation:
(Side)^2 = (Hypotenuse)^2 - (Side)^2
(Side)^2 = (8)^2 - (6)^2
(Side)^2 = 64 - 36
(Side)^2 = 28
Side = √28
Side = 5.29
_________
[tex] \: [/tex]
a² = c² - b²
a² = 8² - 6²
a² = 64 - 36
a² = 28
a = √28
a = 2√7
Mary finds 8 pine cones on a walk. She finds 3 more pine cones than bobby finds. How many pine cones does bobby find?
If x2 = 30. what is the value of x?
Answer:
5.4772255750516 that's if it is x squared
What is the total surface area of a right cylinder with diameter 14 inches, and height 5 inches
Answer:
The total surface area is 527.79in²
Step-by-step explanation:
I am REALLY good at area!
x^3+10x^2+19x-30/x+6
Answer:
make it an equation
Step-by-step explanation:
It's not an equation.
What is the slope of the line passing through the points (6, 7) and (1, 5)?
Answer: it’s a fraction and it’s 2/5
Step-by-step explanation:
if everything in a store is 20% off and the discounted price of an item is $18.00 what is the regular price?
Answer:
14.4 dollars
Step-by-step explanation:
If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars
X+2x-5+6= 0 How would you picture model this to solve for x?
Hey there!
x + 2x - 5 + 6 = 0
1x + 2x - 5 + 6 = 0
3x + 1 = 0
SUBTRACT 1 to BOTH SIDES
3x + 1 - 1 = 0 - 1
CANCEL out: 1 - 1 because that gives you 0
KEEP: 0 - 1 because that helps solve for the x-value
0 - 1 = -1
NEW EQUATION: 3x = -1
DIVIDE 3 to BOTH SIDES
3x/3 = -1/3
CANCEL out: 3/3 because that gives you 1
KEEP: -1/3 because it gives you the value of x
SIMPLIFY IT
x = -1/3
Therefore, your answer is: x = - 1/3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A beach volleyball court is 9 meters wide and 18 meters long. The rope used
for the boundary line costs $1.58 per meter. How much would it cost to buy a
new boundary line for the court?
Answer:
$85.32Step-by-step explanation:
The boundary is the perimeter of the rectangle of 9 m x 18 m:
P = 2(9 + 18) = 54 mCost of the boundary line:
54*$1.58 = $85.32Determine the cost per pound:
313 pounds of apples for $10.50
Answer:
3 cents
Step-by-step explanation:
Divide the cost by total pounds. 10.5 divided by 313 is 0.03.
4x - 3 = 5 X=? can anyone tell me please
Answer:
x = 2
Step-by-step explanation:
4x - 3 = 5
4x = 8
x = 8/4
x = 2
------------
4 (2) - 3 = 5
8 - 3 = 5
5 = 5
answer: x = 2