Answer:
f(x) +g(x) = x^2 +x -20
domain: all real numbers
Step-by-step explanation:
The sum of two polynomial functions is found by adding the terms of each function definition:
f(x) +g(x) = (x -4) +(x^2 -16)
f(x) +g(x) = x^2 +x -20
__
The domain of any polynomial is "all real numbers." The set of polynomials is closed to addition, meaning the sum of any polynomials is another polynomial. The sum, too, will have a domain of "all real numbers."
Evaluate p^2-q.
When p=3 and q= -4
Hey there!
p^2 - q
= 3^2 - -4
= 9 - -4
= 9 + 4
= 13
Therefore, your answer is: 13
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the value of y in the equation 5x 2y = 20, when x = 0. 3?.
Answer:
3 y=9.25...................
Liz makes and sells necklaces. It costs her $40 for the supplie s to make 50 necklaces. How much must she sell each one for in order to make a profit of at least $250?
Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.
What is a proportion?A proportion is a fraction of a total amount
In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.
Hence, the minimum price for each one is given by:
$290/50 = $5.80.
She must sell each necklace for at least $5.80 in order to make a profit of at least $250.
More can be learned about proportions at https://brainly.com/question/24372153
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.
Step-by-step explanation:
[tex]\dfrac{ b }{ 3 } +1 > 0[/tex]
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
[tex]b+3 > 0[/tex]
Subtract 3 from both sides. Anything subtracted from zero turns into a negative number.
[tex]b+3-3 > 0-3[/tex]
Simplify
[tex]b > -3[/tex]
Now we need to graph it:
Inequalities can be shown on a number line. Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
Symbol Meaning
> Greater than
> Greater than or equal to
< Less than
< Less than or equal to
We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.
Also look at the picture
The value of p(t)= 2 + t + 2t^2 - t^3 for t = 2
Options:
a) 4
b) -4
c) 6
d) 7
See picture for math work and answer.
The sum of two numbers is 48. The smaller number is 20 less than the larger number. What are the numbers?
Answer:
34 + 14 = 48
Step-by-step explanation:
have a great day
Step-by-step explanation:
Let x = larger number
Let y = smaller numer
(1) x + y = 48
(2) x = y + 14
Solving (1) for x:
x = 48-y
Substituting this into (2) and solving for y:
48-y = y+14
48-2y = 14
-2y = -34
y = 17
x = 48-y = 31
So, the smaller number is 17 and the larger number is 31
ALL CREDIT GOES TO J.R. S. DO NOT REPORT
Quick please will give brainliest to correct answer please and thank you.
Answer:
y = - 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )
m = = = = - 2
The line crosses the x- axis at (0, 2 ) ⇒ c = 2
y = - 2x + 2 ← equation of line
what is the value of 5x -2y if x=6 and y = -2
Answer:
34
Step-by-step explanation:
substitute x = 6, y = - 2 into the expression
5x - 2y
= 5(6) - 2(- 2)
= 30 + 4
= 34
What was the original price of the sneakers?
Answer:
the original price of the sneakers is $45
Answer:
45$$$$$
Step-by-step explanation:
Aubree makes $25 a week helping her mom with her siblings. She wants to buy a computer that cost $500. How many weeks will it take her to have enough money to buy the computer?
Answer:
20 weeks
Step-by-step explanation:
This question, luckily, can be solved with a very simple algebraic expression.
Let w = the amount of weeks.
[tex]25w = 500[/tex]
So from here, we need to divide both sides by 25 to get w by itself: [tex]w = 20[/tex]
Therefore, it will take Aubree 20 weeks to have enough money to buy the computer.
What is the answer someone help me?
Evaluate the function
f(x) = 11 - 3x1
for f(-2).
5
b. 7
C. 6
---
A
Answer:
Option B. 7
Step-by-step explanation:
Hello!
We can solve this by plugging in -2, in the equation [tex]\bold{f(x) = |1 - 3x|}[/tex]
Solve:
f(x) = |1 - 3x|f(-2) = |1 - 3(-2)|f(-2) = |1 + 6|f(-2) = |7|f(-2) = 7Remember:
In an absolute value equation, a negative value turns positiveIn an absolute value equation, a positive value stays positiveWrite the equation in point-slope form of the line that passes through the points (-10,4) and (10,8)
Answer:
10
Step-by-step explanation:
10 and 8 would be in between 10 and 9 hope this can help
What is the answer? Please help I need it today.
Answer:
0.141 in³
explanation:
[tex]\sf \bold{volume \ of \ rectangular \ prism = length * width * height }[/tex]
using the formula:
[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{1}{2} * \dfrac{3}{4} * \dfrac{3}{8} }[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{9}{64} \ in^3[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = 0.140625 \ in^3[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = 0.141 \ in^3[/tex]
When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 183 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 61 cubic inches
Answer:
42 pounds per square inches.
Step-by-step explanation:
The temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas.
⇒ [tex]V\propto \dfrac{1}{P}[/tex]
or
[tex]V_1P_1=V_2P_2[/tex]
Volume, V₁ = 183 cubic inches
Pressure, P₁ = 14 pounds/square inch
We need to find the new pressure if the volume is decreased to 61 cubic inches. Let P₂ is new pressure. So,
[tex]P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{183\times 14}{61}\\\\P_2=42\ \text{pounds per square inch}[/tex]
Hence, the final pressure is 42 pounds per square inches.
Graph and find the area of the figure with the given vertices. 5. (−1, 4), (−4, −3), (4, −3)
Answer:
28 units^2
Step-by-step explanation:
A=1/2bh
base is 8
height is 7
A=1/2*56
A=28 units^2
0.00000804 scientific notation
im givin away points to anyone even people who just want poinnts and dont put the answers so pls just do my question:Use rounding to estimate the product.
22.1 × 4.61
80
110
88
100
Answer:
110
Step-by-step explanation:
Answer:
110
Step-by-step explanation:
4. Find f(7) for
the function
below.
f(x) = 1/2 •2^x
Answer:
f(7) = 64
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x) , that is
f(7) = [tex]\frac{1}{2}[/tex] × [tex]2^{7}[/tex] = [tex]\frac{1}{2}[/tex] × 128 = 64
Answer:64
Step-by-step explanation:
BIG BRAIN
find each measure for A and B
Answer:
b = 22
Step-by-step explanation:
74 + 74
= 148
180 - 148
= 22
i hope this work for you
solve for w: 3w + 4w = 14 simplify your answer as much as possible.
Answer:
W=2
Step-by-step explanation:
Let's solve your equation step-by-step.
3w+4w=14
Step 1: Simplify both sides of the equation.
3w+4w=14(3w+4w)=14
(Combine Like Terms)7w=14/7w=14
Step 2: Divide both sides by 7.
7w7=14/7
Your answer comes out at, w=2
If u need some more help just comment down below and ill try to help u some more:p
a line passes through the points ( -4,3) and (0,0). what is the slope of the line?
Answer:
The slope is -3/4 or -0.75
Step-by-step explanation:
You can solve this using the slope of a line formula:
[tex]m=\frac{rise}{run}=\frac{y_{2}-y_1 }{x_2-x_1}[/tex]
m = slope
[tex](x_1,y_1)[/tex] = coordinates of first point in the line
[tex](x_2,y_2)[/tex] = coordinates of second point in the line
Now all you have to do is plug your numbers in and solve!
during the first half of the year there were 54 students in the schools bicycling club. in the second half of the year the club had 68 members. find the percent of increase in club membership to the nearest whole percent
Answer:
To the nearest whole percent is 26%
Step-by-step explanation:
First half of the year = 54 students
Second half of the year = 68 members
find the percent of increase in club membership to the nearest whole percent ?
% increase in club membership = (new member - old member) / old member × 100
= (68 - 54) / 54 × 100
= 14 / 54 × 100
= 0.259 × 100
= 25.9 %
To the nearest whole percent is 26%
What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?
Answer:
This is undefined because the slope is 3/0, and you can't divide by 0
In a circle, a central angle of 2.5 radians intercepts an arc
of 15 inches. Find the area of the circle to the nearest tenth.
Answer:
19.63 in2
Step-by-step explanation:
2.5 squared is 6.25. Then you times it by 3.14 giving you 19.625 rounded to 19.63. Hope this helps!
The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 12
Using the arrangements formula, it is found that there are 72 distinct four-digit positive integers are such that the product of their digits equals 12.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, considering that the numbers are arranged, we have that there are:
4! 4-digit numbers involving a six, a two and two ones that result in a product of 12.4! 4-digit numbers involving a four, a three and two ones that result in a product of 12.4! 4-digit numbers involving a three , two twos and a one that result in a product of 12.Hence:
T = 3 x 4! = 3 x 24 = 72.
There are 72 distinct four-digit positive integers are such that the product of their digits equals 12.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
What is the slope of a line perpendicular to the line -2x + 9y = 8?
Answer:
-9/2
Step-by-step explanation:
To make a slope perpendicular, you must find the slope in a y = mx+b format where the slope is easy to find. Add 2x to the opposite side and then divide the entire right side of the equation by 9 to get y = 2/9x +8/9. A perpendicular slope is just a negative reciprocal of the slope, so make 2/9 negative and flip around the numerator and denominator to get a perpendicular slope of -9/2. Hope that helps!
2y= -3x + 8 i need the answer for this its graphing and equations 9th grade
If you're looking for the cartesian form of this straight line then that would be,
[tex] - 3x - 2y + 8 = 0[/tex]
If you're looking for the equation in the form of y=mx+b, then:
[tex]y = - \frac{3}{2} x + \frac{8}{2} [/tex]
[tex]y = - \frac{3}{2} + 4[/tex]
Where -3/2 is the slope of the line
and 4 is the intersection with the y-axis (0,4)
if you want to graph this line, just take values of x and find their y, and plot these points.
finally join the points to get the graph of the line.
hope this clears things up
Help please!
Matthew launches a ball is at 34 meters per sec from a 28 meter tall platform. The function of the ball's height (h) at time (*) seconds after launch is
h(t) = -12t^2 + 34t + 28.
Answer:
17 seconds
Step-by-step explanation:
h(t) represents height, we want to know when the ball will return to a height of 28 feet. So our equation is..
28 = -2t² + 34t + 28
Now solve for t...
0 = -2t² + 34t (subtract 28 from both sides)
0 = t² - 17t (divide both sides by -2)
0 = t(t - 17) (factor out a t)
So
t = 0
or
t - 17 = 0
t = 17
0 seconds is the initial height. At 17 seconds, the ball will return to that height
i hope this work for you
Multiply the sum of sixteen and four and the difference of negative two and negative seventeen. Select the correct answer.