Answer:
D is the correct answer
Step-by-step explanation:
your welcome
Answer:
nine and six hundred two thousandthsStep-by-step explanation:
Consider the function given by the graph. What are
these values?
fl-2) =
10) =
f(4) =
Answer:
f(-2) = 2
f(0) = 4
f(4) = -1
Step-by-step explanation:
Given the graph of a piecewise function:
[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]
Side note:
I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.
Explanation:There are two methods for determining the range values of the given domain values.
Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.
Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values. This post will use the second method (using the piecewise function) to evaluate the input values.
Regardless of the method used, the results will remain the same.
f(-2)Since the input value is x = -2, then we must use the function, f(x) = x + 4:
f(x) = x + 4
f(-2) = -2 + 4
f(-2) = 2
Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.
f(0)
Given the input value is x = 0, then we must also use the function, f(x) = x + 4:
f(x) = x + 4
f(0) = 0 + 4
f(0) = 4
Therefore, the range value given the domain, x = 0 is 4, or f(0) = 4.
f(4)
Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:
f(x) = -½x + 1
f(4) = -½(4) + 1
f(4) = -2 + 1
f(4) = -1
Therefore, the range value given the domain, x = 4 is -1, or f(4) = -1.
The Guiness Book of World Records holder for Fastest Rapper is a guy
from Seattle named NoClue. He can rap 70 syllables in just 5 seconds. (He
actually did 723 in 51.27 seconds). What is his speed in syllables per
second?
Answer:
Write a ratio.
70 : 5
x : 1
To solve for x, cross multiply.
70 : 5x
Divide both sides by 5.
14 = x
So, NoClue can rap 14 syllables per second.
:)
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]Need help with this ASAP I’ll mark brainliest
Answer:
g = 30 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse g is equal to the sum of the squares on the other 2 sides , that is
g² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )
g = [tex]\sqrt{900}[/tex] = 30
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
number 5
Step-by-step explanation:
an equal sign means "is not equal to"
a car travels 30m in 2 minutes whats the speed
Answer:
15
Step-by-step explanation:
speed is distance over time so its 30 devided by 2
I need help please each number has its own equation number it off please
please help me with mathhhh.
Answer:
B
Step-by-step explanation:
You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.
What is the quotient of 1.155 x 10^5 and 1.65 x 102 expressed in scientific
notation?
Answer: 7.00x10^2
Step-by-step explanation:
Are you asking for the quotient of (1.155 x 10^5)/(1.65 x 10^2)?
If so, divide (1.155/1.65) = 0.7000.
Then subtract 2 (the bottom exponent from [tex]10^{2}[/tex]) from the top exponent: [tex]10^{5}[/tex] becomes [tex]10^{3}[/tex].
Combine the two: 0.7000x10^3
Move the decimal point to the right by one: 7.00x10^2 (to 3 sig figs).
7 x 10² is the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific
notation.
To find the quotient of these two numbers in scientific notation, you divide the two significant figures and then subtract the exponents of 10. The calculation would be as follows:
(1.155 x 10⁵) / (1.65 x 10²)
Dividing the significant figures:
1.155 / 1.65
= 0.7
Subtracting the exponents:
5 - 2 = 3
So, the quotient in scientific notation is approximately:
0.7 x 10³
Which can also be written as:
7 x 10²
Hence, the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific
notation is 7 x 10².
To learn more on Number system click:
https://brainly.com/question/1763119
#SPJ3
I run 960 hm and my friend run 960 dam. How many km do we run in total?
Answer:
105.6 km
Step-by-step explanation:
Use: King Henery Doesn't Usually drink chocolate milk
K in king stands for kelo
H in Henery stands for hecto
D in Doesn't stands for deka
U in Usually stands for Meters, Liters, and Grams
d in drink stands for Deci
c in chocolate stands for Centi
And m in milk stands for milli
Solve for X and find M Find m
Step-by-step explanation:
3x-28=2x-9
3x-2x=28-9
x=19°
For angle FGH = 2x-9° = 38°-9° = 29°.
For angle HGI = 3x-28° = 57°-28° = 29°.
For angle FGI = 29°+29° = 58°.
hope this helps you.
You have already saved $75 dollars for a new TV. You are
week from now on. Write an equation to model the amount of your savings.
If the TV costs $250, how many weeks will you need to save?
Matilda and Nancy are miles apart, bicycling toward each other on the same road. Matilda rides miles per hour and Nancy rides at miles per hour. In how many hours will they meet
Answer:
it will take 3 hours For them to cover 60 miles and meet
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
how to find the slope of 1,4 and 0,11
Answer:
y2-y1 over x2-x1, typically the second or set of the higher numbers would be #2 so im taking 0,11 as #2
Step-by-step explanation:
7 i believe
Answer:
y2-y1/x2-x1
11-4/1-0
7/1
slope = 7
5. Find the triangle similar to AABC at the right.
Answer:
the answer is b
Step-by-step explanation:
60 divided by the ratio of 7:3
Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?
Answer:
5 more treats
Step-by-step explanation:
The total number of treats if she gives each person 4 treats is
. 37 people * 4 treats = 148 treats
Subtract 143 (number of treats she has) from 148 (total number of treats to give out)
. 148 treats - 143 treats = 5 treats
143 treats
37 patients
to find:how many treats will she need to make in order for each patient to receive 4 treats.
solution:[tex]4 \times 37[/tex]
[tex] = 148[/tex]
[tex] = 148 - 143[/tex]
[tex] = 5[/tex]
therefore, she'll have to make 5 treats more in order for each patient to receive 4 treats
answer= option D
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
help please??????????????????
Answer:
-5 and 2
-2 and -1
-3 and 0
There is no shortcut to solving this type of problem. You just have to use trial and error.
:)
Answer:
-2+ (-3)
-5+ 0
-1+ (-2)+ (-2)
Hope this helps!
LMK if it does
You bought for hamburgers you gave the cashier $50 bill and get $22 change how much was each hamburger
!!!!!!!!5 step plan please!!!!!!!!
An electrician cuts 28 feet piece wire into two pieces one piece is 4 feet longer than the other how long are the pieces
!!!!5 step plan!!!!!
Answer:
12 and 16
Step-by-step explanation:
Turn it into algebra.
Make one of the pieces x. So x+4 is the piece that is 4 feet longer and x is the piece that it is 4 feet longer than.
So x+4+x=28, which is the total length, and if you simplify it, it makes 2x+4=28.
Then you just solve it, so do 28-4=24, and then divide that by 2, which gets 12.
Then you substitute 12 where x has been substituted for the pieces.
One piece is x feet, so that just stays 12, and another piece is x+4, so 12+4 which is 16.
To make sure it's correct, you can check it by doing 16-12=4 and add 12 and 16 together which gets the correct total of 28.
Winston’s owner increased the amount of dog food he eats every day from 40 grams to 48 grams. By what percentage did Winston increase the amount of dog food he eats?
Answer:
the answer is 20% increase I used a calculator but you should be able to do that math by taking 40 dividing by five where that ends up being 8 that is 20 percent of 40 so adding that back to the original amount is a 20 percent increase hope this helps
Step-by-step explanation:
In a sale, the price of a jacket is reduced.
The jacket has a normal price of £52
The jacket has a sale price of £41.60
Work out the percentage reduction in the price of the jacket.
9. Using a twenty sided number cube, what is the probability that you will roll an even number or
an odd prime number? The number 1 isn't an odd prime. Round to three decimals.
(1 point)
Answer:
0.85
Step-by-step explanation:
total samples cases = 20
chances that are even or odd prime are 17 chances
2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20
probability = 17/20
= 0.85
What does this graph represent?
Question options:
not moving
acceleration
constant speed
Answer:
A or C
Step-by-step explanation:
ben baked 6 times as many cookies as francis. francis baked 42 cookies. how many cookies did ben bake
Answer:
252
Step-by-step explanation:
If Francis baked 42 cookies, that means ben backed 252, because you can add 42 plus 42 plus 42 blah blah blah 6 times, and it gets you 252. Or you can just do 42 times 6.
find the percentage change of 20 to 25
Answer:
Percentage change should be 25%
Step-by-step explanation:
25 - 20
---------- x 100%
20
5
---- x 100% = 25% increase
20
25 percent increase
Pls help and explain, will give brainliest!
-5+3 + (-1/6)+ 5/6 in fractions form
Answer:
Step-by-step explanation:
-5+3 + (-1/6)+ 5/6
-2 - 1/6 + 5/6
-2 + 4/6 (do this boring math)
Answer:
[tex]-1\frac{1}{3}[/tex] aka [tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
-5+3+(-1/6)+ 5/6
Ok soo -5+3 is -2 So then
-2-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]
-2+(-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex])
-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]=[tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
-2+[tex]\frac{2}{3}[/tex]=-1[tex]\frac{1}{3}[/tex]
What is the equation of this line in slope intercept form? -x- 5y = 10
A) y= -1/5x-2
B) y= -1/5x + 10
C) y= 1/5x + 10
D) y= 5x - 2
NO FILES NO LINKS PLEASE
Answer:
D 22ilsjjssiksksksksksksks
Step-by-step explanation:
212
find the the equations of the circle passing through (1, 4) and having the diameters of 3x-4y=1 and 2x+y=8?
Answer:
In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.
Step-by-step explanation:
:3