Answer:
(-∞,∞)
Step-by-step explanation:
The domain is all possible x values of the function
There are no constraints or holes for this and therefore the domain is all real numbers
A function is a relationship between inputs where each input is related to exactly one output.
x values can be ........-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6,.........
The reasonable domain for the function f(x) = 10x + 8 is (-∞, ∞).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 10x + 8
We can have any real values of x.
f(-2) = -20 + 8 = -12
f(-1) = -10 + 8 = -2
f(1) = 10 + 8 = 18
f(2) = 20 + 8 = 28
f(3) = 30 + 8 = 28
.
.
.
x values can be ........-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6,.........
So,
The domain of the function f(x) = 10x + 8 is -∞ to ∞.
We can write as an interval as,
(-∞, ∞).
Thus,
The reasonable domain for the function f(x) = 10x + 8 is (-∞, ∞).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Find the total surface area of the rectangular prism
Area is expressed in
Answer:
the answer should be square units
When solving the inequality 3x - 2 < 8x + 10, the next line
becomes 3x < 8x + 12. Which property justifies this step?
(1) Distributive
(2) Associative
(3) Multiplicative Property of Equality
(4) Additive Property of Equality
Find the slope of the line.
a.-7
b.7
c.-1
d.1
Answer:
(-1)
Since it is a downward slope with two equalized points x=7 and y=7. The slope is m = -1.
Answer:
d.1
Step-by-step explanation:
For this question, use change in y value from one point to another over change in x value from one point to another.
Is the circumference of a circle that the diameter is 9.4 cm
Answer:
To find the radius we must multiply by two to get 18.8
Then we multiply 18.8 for PIEEEEEE
3.14x18.8= 59.03
Step-by-step explanation:
I hope this helps!!!!! Please mark me brainliest.
-15
14
13
-12
-11
-10
9
-8
-7
6
-5
4
3
2.
0
1
2
2
3
4
ОЛ-
Type here to search
What is the value of the
expression below if a = -4, b = 5?
Answer:
56
Step-by-step explanation:
2a^2b+5ab-4
substitute a & b:
2(-4)^2(5)+5(-4)(5)-4
2(16)(5)+5(-4)(5)-4
160-100-4=56
does anyone know the answer
Answer:
yes me
Step-by-step explanation:
na jp ion know
pls help me with mark and will mark
Answer:
2/3
Step-by-step explanation:
To solve slope: y2- y1/ x2 -x1.
Two points can be (0,6) and (3,8)
8-6/3-0 ---> 2/3
Answer:
2/3
Step-by-step explanation:
The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angles is 140°. Determine the measure of each angle in degrees.
Answer:
The two angles are 25.5 and 114.5
Step-by-step explanation:
x = measure of one angle
5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}
x + 5x - 13 = 140 {sum of the two angles is 140}
6x - 13 = 140 {combined like terms}
6x = 153 {added 13 to each side}
x = 25.5 {divided each side by 6}
5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}
Cameron is on page 21 of his book. He reads 112 pages per minute and wants to read to at least page 84 tonight. The inequality 21+112t≥84 models this situation, where t is time in minutes. Which represents the time it will take Cameron to reach his goal?
Answer:
t ≥ 0.5625
Step-by-step explanation:
Given:
21 + 112t ≥ 84
112t ≥ 84 - 21
112t ≥ 63
t ≥ 63/112
t ≥ 0.5625
t = time in minutes
The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers
Answer:
(x,y): (6 , -3) or (-30/7 , 33/7)
Step-by-step explanation:
6x + 8y = 12
x = y + 9 or y = x+ 9
if x = y+9
6*(y+9) + 8y = 12
14y = -42
y = -3 and x = 6
if y = x+9
6x + 8*(x+9) = 12
14x = -60
x = -30/7 and y = 33/7
David wishes to build a circular fish pond. The diameter of the pond is to be 3m.
a. How many lineal meters of bricks are needed to surround it? Round your answer to two decimal places.
b. What is the coast if the bricks are $45 per meters? ( Use your answer from part a.)
Answer:
9.42m , $423.9
Step-by-step explanation:
C = 2πR
so, 2*3.14*1.5
=9.42478m
9.42*$45
= $423.9
Let f(x) = 15x - 25 represent the profit function and a represent the number of T-shirts sold. Which statement is true
of f(200)?
It results in 15 and means that 15 T-shirts were sold.
B It results in 15 and means that $15 was made in profit.
It results in 2,975 and means that 2,975 T-shirts were sold.
It results in 2,975 and means that $2,975 was made in profit.
2x + 12 = 2(x+8)-4
need answer asap pls
Answer:
there are inifnite solutions
Step-by-step explanation:
Answer:X=-8
Explanation:
pls answer asap
its due tomorrow
Answer:
[tex]\frac{19}{14} x+\frac{97}{56}[/tex]
A shoe sales associate earned $300 in November. In December she earned 8% more than she did in November. How much she earn in December? *
Answer:
$324.00
Step-by-step explanation:
Increase the number by 8% of its value.
Percentage increase = 8% × 300
New value =
300 + Percentage increase =
300 + (8% × 300) =
300 + 8% × 300 =
(1 + 8%) × 300 =
(100% + 8%) × 300 =
108% × 300 =
108 ÷ 100 × 300 =
108 × 300 ÷ 100 =
32,400 ÷ 100 =
324
$24.. 8% of $300 equals 24 so the associate made $324 dollars in December. 24+300=324
For every pound a company spends on advertising, it spends £0.26 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
Answer:
Can you convert pounds to dollars?
Step-by-step explanation:
I need help quickly!!!
You solve a system of two linear equations by substitution. Your work results in a third equation, which leads you to conclude that the system has infinitely many solutions. Which of the following could be the third equation?
The options are:
5=0
-4=-4
2y=14
3x+10=16
A culture started with 3,000 bacteria. After 4
hours, it grew to 3,600 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P = Aekt
Answer:
4500
Step-by-step explanation:
4 hours = 3600
8 hours = 4200
10 hours = 4500
Which function does the graph represent?
Of(x) = (x - 2)2 + 3
Of(x) = -(x - 2)2 + 3
Of(x) = (x + 2)2 + 3
O f(x) = -(x + 2)2 + 3
Answer:
The function which represents the graph is:
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Hence, option B is correct.
The graph is also attached.
Step-by-step explanation:
From the graph, it is clear that:
The vertex = (2, 3)
The y-intercept = (0, -1)
Let us check the equation
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Determining the y-intercept:
The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
substituting x = 0 in teh equation
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
[tex]y=-\left(0\:-\:2\right)^2+\:3[/tex]
[tex]y=-2^2+3[/tex]
[tex]y=-4+3[/tex]
[tex]y=-1[/tex]
Thus,
The point representing the y-intercept is: (0, -1)
Determining the vertex:
The vertex of an up-down facing parabola of the form ax² + bx + c is:
[tex]x_v=-\frac{b}{2a}[/tex]
As the equation is
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Rewriting the equation [tex]y=-\left(x\:-\:2\right)^2+\:3[/tex] in the form ax² + bx + c:
[tex]y=-x^2+4x-1[/tex]
The Parabola params are:
[tex]a=-1,\:b=4,\:c=-1[/tex]
Thus,
[tex]x_v=-\frac{b}{2a}[/tex]
[tex]x_v=-\frac{4}{2\left(-1\right)}[/tex]
[tex]x_v=2[/tex]
Now plug in [tex]x_v=2[/tex] in the equation to find [tex]y_v[/tex]
[tex]y_v=-x^2+4x-1[/tex]
[tex]\:y_v=-\left(2\right)^2+4\left(2\right)-1[/tex]
[tex]y_v=-4+8-1[/tex]
[tex]y_v=3[/tex]
Therefore, the vertex of the equation is: (2, 3)
Hence, the function which represents the graph is:
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Hence, option B is correct.
The graph is also attached.
Simplify, 4(x + 6) + 2 (3x- 5)
Answer:
10x + 14
Step-by-step explanation:
begin by distributing the numbers outside of your parentheses:
4x + 4(6) + 6x - 2(5)
4x + 24 + 6x -10
then just combine like terms:
4x + 6x + 24 - 10
10x + 14
Select the expression that shows the application of the distributive property for
9(t - 5)
a
9t + 14
b
9 + t + 9 + 5
c
9t + 45
d
9t - 45
PLEASE HELP ME!!!
Answer:
c. 9t+45 that shows distributive property
where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5
5 1/3 + (-4 1/6)+ (-2 1/2)
Answer:
[tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
We are given that
[tex]5\frac{1}{3}+(-4\frac{1}{6})+(-2\frac{1}{2})[/tex]
We have to find the value of given expression
[tex]\frac{5(3)+1}{3}-(\frac{4(6)+1}{6})-(\frac{2(2)+1}{2})[/tex]
[tex]=\frac{15+1}{3}-\frac{24+1}{6}-\frac{4+1}{2}[/tex]
[tex]=\frac{16}{3}-\frac{25}{6}-\frac{5}{2}[/tex]
LCM(2,3,6)=6
[tex]=\frac{32-25-15}{6}[/tex]
[tex]=\frac{32-40}{6}[/tex]
[tex]=\frac{-8}{6}[/tex]
[tex]=-\frac{4}{3}[/tex]
Write an equation of the given line that passes through the given point and has the given slope m
(-3,-11);m=1/2
Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler cost?
Answer: ruler cost $12
Step-by-step explanation:
step 1
Let cost of ruler be represented as r
and cost of pencil be represented as p
we were given that
4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as
4r + p = 2r+ 4p
and cost of pencil= $8
therefore
sTEP 2--- Solving
4r+ 8 = 2r+ 4 x8
4r+ 8 = 2r+ 32
4r - 2r= 32-8
2r= 24
r= 24/2 = r= $12
find the value of x and y (5y-23) (2x+13) (3x) 47
Answer: I will tell you if you keep reading
Step-by-step explanation:
5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47
Write these in order starting with the smallest first.
12% 3/8 0.0123 42% 1/5 0.45
What number is halfway between
1/5
and
4/15
Answer:
1/5+4/5
1×5/5+4×1/5
5/5+4/5
5+4/5
9/5
(9/5)/2
Pls help I have no idea
Answer:
Step-by-step explanation:
If you connect the chord ends to the center you will see that you form a right triangle where:
[tex]r^2=16^2+\left(\frac{9x-15}{2}\right)^2\ and\ r^2=16^2+\left(\frac{7x+5}{2}\right)^2\\ \\
\text{From these equations we can see}\\ \\ (9x-15)^2=(7x+5)^2\\ \\ 9x-15=7x+5\\ \\ 2x=20\\ \\ x=10[/tex]