Given:
Consider the piecewise function is
[tex]f(x)=\left \{\begin{matrix}x^2+4x,\text{ if } x\leq -1\\ x, \text{ if }-1<x\leq 1\\-1,\text{ if }x>1\end{Matrix}\right.[/tex]
To find:
The value of the function at indicated values.
Solution:
We know that, [tex]-2,-\dfrac{3}{2},-1[/tex] are less than or equal to -1. So, for these values the function is [tex]f(x)=x^2+4x[/tex].
For x=-2,
[tex]f(-2)=(-2)^2+4(-2)[/tex]
[tex]f(-2)=4-8[/tex]
[tex]f(-2)=-4[/tex]
Similarly,
For [tex]x=-\dfrac{3}{2}[/tex].
[tex]f(-\dfrac{3}{2})=(-\dfrac{3}{2})^2+4(-\dfrac{3}{2})=-\dfrac{15}{4}[/tex]
For [tex]x=-1[/tex].
[tex]f(-1)=(-1)^2+4(-1)=-3[/tex]
We know that, 0 is lies between -1 and 1. So, for this values the function is [tex]f(x)=x[/tex].
For x=0,
[tex]f(0)=0[/tex]
We know that, 25 is greater than 1. So, for this values the function is [tex]f(x)=-1[/tex].
For x=25,
[tex]f(25)=-1[/tex]
Therefore, the required values are, [tex]f(-2)=-4, f(-\dfrac{3}{2})=-\dfrac{15}{4},f(-1)=-3,f(0)=0,f(25)=-1[/tex].
Solve the inequality.
|2x - 6| + 7 <15
Answer:
Inequality Form: -1 < x < 7
Interval Notation: (-1, 7)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Find the distance between the points -6.2 and -9.8. Show your work for full credit.
Answer:
-2
Step-by-step explanation:
Plz help I’ll give branliest!!
Answer:
2 is the correct option
PART 2
same for the other one last 3 question
Answer:
1 of 8: (729, 81, 9, 1)
2 of 8: 1 = (-1)^0 = 2^0
3 of 8: 1
Step-by-step explanation:
The basic rule is that any non-zero value to the zero power is 1. It doesn't matter whether the value is positive or negative. Raising it to the zero power makes it 1.
So, for question 2 of 8, the two equivalent expressions can be anything raised to the zero power (or anything with a value of 1, for that matter).
__
In the order of the attachments, ...
3) 5^0 = 1
2) (-5.7)^0 = 1
two other expressions could be (-1)^0 and 2^0.
1) Each row of the table is the previous row divided by 9. Top-down, the missing table values are 729, 81, 9, 1. (Note that 9^0 = 1.)
Please HELP! I’ll give BRAINLIEST :)
An undefined term is a term that has been given no formal definition. In geometry, there are three undefined terms that form the basis for the subject. What are those three undefined terms? Do your best to define those terms.
Answer:
Point, Line, and Plane
Step-by-step explanation:
The three undefined terms that form the basis for the subject are a point, a line, and a plane. A point is basically like a dot, which most people should know. A line is a straight one dimensional figure that extends to infinity in both directions. A plane a flat 2 dimension figure, that extends to infinity in all directions. You can think of a plane as infinite lines put next to each other.
You can visualize a point, a line, and a plane in a coordinate grid. A point on the coordinate grid is any point, from (0, 0), the origin, to (2039, pi). A line on the coordinate grid is linear. It can be of any equation from y=x to y=238490/239x + 123. You can think of a plane as the entire coordinate grid.
A rectangle has perimeter 68 cm and length 25 cm. What is its width? In centimeters.
Answer: 9cm
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
To find it you must multiply the length by 2
25 × 2 = 50
Then subtract the result with the perimeter
68-50 = 18
And the result of that is your answer
On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs $0.15 per minute. The 40 to Go Plan costs $40 per month plus $0.05 per minute. Which plan should you choose if you want only 200 minutes per month? Why? Justify your answer.
Answer:
The EZ Pay Plan because it would cost less than the 40 to Go Plan.
Step-by-step explanation:
You will have to calculate the amount that you would pay with each monthly plan if you have 200 minutes per month.
-EZ Pay Plan:
$0.15*200=$30
-40 to Go Plan:
$40+($0.05*200)=$40+$10=$50
According to this, the answer is that if you only want 200 minutes per month, you should choose the EZ Pay Plan because it would cost $30 which is less than the 40 to Go Plan that would cost $50.
How many cups of red paint should be added to 1 cup of white paint?
Answer:
3/7 or .43
Step-by-step explanation:
1 goes in to 7, 7 times so all you have to do is 3/7
Every 2.5 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship?
Answer:
60 baskets per hour
Step-by-step explanation:
given that every 2.5 hours, the machine produces 150 baskets
Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)
2.5 hours -------> machine produces 150 baskets
1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets
hence the unit rate of production is 60 baskets per hour
Answer:
60 baskets per hour
Step-by-step explanation:
given that every 2.5 hours, the machine produces 150 baskets
Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)
2.5 hours -------> machine produces 150 baskets
1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets
hence the unit rate of production is 60 baskets per hour
0.000028 what is the scientific method
Answer:
2.8 x 10^-5
Step-by-step explanation:
Calculate the slope of a line that passes through the points (-4,7) and (-1,3)
Answer:
The answer is
[tex] - \frac{4}{3} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4,7) and (-1,3)
We have
[tex]m = \frac{3 - 7}{ - 1 - - 4} = \frac{ - 4}{ - 1 + 4} = - \frac{4}{3} \\ [/tex]
We have the final answer as
[tex] - \frac{4}{3} \\ [/tex]
Hope this helps you
5(3x+8)=175
with steps pls
Answer:
x=9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(3x+8)=175
(5)(3x)+(5)(8)=175(Distribute)
15x+40=175
Step 2: Subtract 40 from both sides.
15x+40−40=175−40
15x=135
Step 3: Divide both sides by 15.
15x/15=135/15
x=9
Brainliest to the first CORRECT answer, Thanks
Answer:
28 inches
Step-by-step explanation:
P = 2 (a + b) = 2 · (6 + 8) = 28
help plz it’s due in five minutes
2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.
Which transformation maps the large triangle onto the small triangle?
dilation
reflection
rotation
translation
Answer:
dilation is the answer
SCUBA diving set
Slope:
SCUBA diving set
y-intercept:
SCUBA diving set
Slope intercept form:
Answer:
Step-by-step explanation:
Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).
Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)
Snorkel, mask, and flippers Slope intercept form: y = 2x + 10
√116 rounded to the nearest tenth?
Answer:
10.8
hope this helps
Answer:
[tex]\boxed {10.8}[/tex]
Step-by-step explanation:
The equation:
[tex]\sqrt{116}[/tex]
Simplify:
[tex]\sqrt{116}[/tex]
[tex]2\sqrt{29} \approx 10.77[/tex]
-Round the approximation to the nearest tenth:
[tex]\boxed {10.8}[/tex]
Ind two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer. a. Write and solve an equation to find the integers. Multiple choice question. A) 2n−4=2(n+2); true for all even integers B) 2n=2(n+2)−4; true for some even integers C) 2n=2(n+2)−4; true for all even integers D) 2n−4=2(n+2); true for some even integers Part B Feedback Incorrect 2 tries left. Please try again. Select the correct choices to complete the sentence. b. Does the equation have one solution, no solution, or is it an identity? Explain. It , 1 of 2. is an identity because it is , 2 of 2. false for every pair of consecutive even integers.
Answer:
Step-by-step explanation:
Let the consecutive even integers be 2n and 2n+2.
lesser integer = 2n
Greater integer = 2n+2
If twice the lesser of two integers is 4 less than two times the greater integer, this is expressed mathematically as;
2(less integer) = 2(greater integer) - 4
Substituting the given integers;
2(2n) = 2(2n+2)-4
2(2n) = 2[(2n+2)-2]
2n = 2n+2-2
2n = 2n
2 = 2
This two values cancels out and become 0 = 0. This equality shows that it is an identity pair and it is true for all even integers.
A line contains the points (−26, −37) and (−32, −61).
What is the slope of the line in simplified form?
Answer:
The slope of the line is 4
Step-by-step explanation:
You use the equation Y2 - Y1/ X2 -X1 to find the slope.
-61-(-37)/-32 - (-26)
-24/-6
4
Answer:
The answer is 4
*PLEASE HURRY* WILL GIVE BRAINLIEST* Write the equation in the form ax^2 + bx+c=0 where a > 0, if necessary. Then identify the values of a, b, and c. Do not actually solve the equation
3x^2 = 4x + 8
Answer:
a= 3
b=-4
c=-8
Step-by-step explanation:
3x²=4x+8
since the 4X is positive it will cross the equal sign and become negative and the same goes for 8,and this will leave nothing on the right of the equal sign therefore it will become 0
3x²-4x- 8= 0
the above equation is now in the form required
ax²+bx+c=0
so substitute the values according and u will see that a= 3
b=-4 and c=-8
hope this helps
Which graph shows the solution to the system of linear
Which is one method to help avoid cross-contamination?
Buy prepared food
Keeping peanuts away from other foods
Ensuring cold food is stored at 41°F
Store chicken over lettuce
The microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.
How is this number expressed in standard form?
The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
A standard form is a form of writing an equation, number, or an expression in a form using certain rules.
The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Please help ill give brainlist
Answer:
The answer is c
If a = 6 and b = 12 What is side c of a right triangle using the pythagorean
theorm?
Answer:
36 root 5 I believe
Step-by-step explanation:
Answer:
36 square root 5
Step-by-step explanation:
What’s 3•-30+15
And the dot is multiplication!
Answer:
-75
Step-by-step explanation:
3(-30)=-90
-90+15 is -75
Write each phrase or sentence as an algebraic expression or equation
6 more than y
3 times a number
5 less than the product of 10 and c
14 more than 6 times t
The sum of x and y is 18
A number minus 12 is y
6 more than y :
y + 63 times a number:
x ← a number
3x5 less than the product of 10 and c :
10c ← the product of 10 and c
10c - 514 more than 6 times t :
6t ← six times t
6t + 14The sum of x and y is 18:
x+y ← the sum of x and y
x + y = 18A number minus 12 is y:
x - a number
x - 12 = yI need help! Please!!!
Answer:
with what
Step-by-step explanation:
Answer:
Yes I would be truly willing to help u so what do u need help with
Step-by-step explanation:
ANSWER PLEAZE I MARK AS BRAINLIST ❗️❗️❗️❗️
Answer:
I have to say d,e,and b
Step-by-step explanation:
Hope this helps!!
Answer:
I'm think it would be c?
Step-by-step explanation: Im not really sure cause I'm lazy to do the math but... try this. so like for every 2a you have 3s so then for 4 a you would have 6s. The a and s stand for addition and subtraction
Use the vertical line test to determine whether or not the graph is a graph of a function. plz help
Answer:
pretty sure both are yes