Evaluate the piecewise function at the indicated values from the domain:
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at [tex]x = 0[/tex]
We have to look at the definition, and see which definition includes [tex]x = 0[/tex]. The equal sign at [tex]x = 0[/tex] is on the second definition, that is:
[tex]f(x) = 1, 0 \leq x < 2[/tex]
Thus, at [tex]x = 0[/tex], the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check https://brainly.com/question/17966003
Find the missing side of the Triangle
Answer:
[tex]\sqrt{193}[/tex]
Step-by-step explanation:
[tex]c^2=a^2+b^2\\c^2=12^2+7^2\\c^2=144+49\\c^2=193\\c=\sqrt{193}[/tex]
Answer:
x = [tex]\sqrt{193}[/tex]
Step-by-step explanation:
The given is a right triangle and in right triangles the square value of hypotenuse is equal to sum of other two side lengths' square value
12^2 + 7^2 = x^2
144 + 49 = x^2
193 = x^2
x = [tex]\sqrt{193}[/tex]
Geometry, please answer question ASAP
9514 1404 393
Answer:
D. 5.4
Step-by-step explanation:
The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.
SU = UP/2 = 3.6/2 = 1.8
The length of PS is ...
PS = PU +US = 3.6 +1.8
PS = 5.4
__
Additional comment
If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.
5 x 1/4
how can you use addition to show that your answer is correct?
Answer:
Step-by-step explanation:
[tex]5*\dfrac{1}{4}=\dfrac{5}{4}\\[/tex]
Using addition,
Add (1/4) , five times
[tex]\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{1+1+1+1+1}{4}\\\\=\dfrac{5}{4}[/tex]
Answer:
5/4
Step-by-step explanation:
Add 1/4 together 5 times:
1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4
A father is now twice as old as his son. If the sum of their ages ten years ago was fifty two, how old are they today?
Answer:
24 and 48
Today, the son is 24 years old, and the father is 48 years old.
Step-by-step explanation:
(x - 10) + (2x - 10) = 52
3x + 20 = 52
3x = 72
x = 24
The father is 2 times his son's age.
2x
= 2(24)
= 48
So, the son is 24 and the father is 48.
10 years ago, son was 14 and father was 38, if added, this adds up to 52, so we know our calculations are correct.
Answer:
So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.
Step-by-step explanation:
If the son’s age is x, the father’s age is 2x.
Ten years ago:
(x - 10) + (2x - 10) = 52
3x + 20 = 52
3x = 72
x = 24
2x = 48
Someone help asapppp
Answer:
1
Step-by-step explanation:
Answer:
1/ a
Step-by-step explanation:
go to desmos graphing calculator :) yea
////
13. Classify the following number. (Select all that apply) *
-10
Natural
Whole
Integer
Rational
Irrational
Answer:
-natural
-whole
-integer
-rational
Brainliest is very much appreciated! :)
Given the function f(x) = -2c+cx-x^2, and f^-1(5) = -1, find c
Answer:
[tex]c=-2[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x) = -2c + cx - x^2[/tex]
And that:
[tex]\displaystyle f^{-1} (5) = -1[/tex]
And we want to determine the value of c.
Recall that by definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a[/tex]
So, since f⁻¹(5) = -1, then f(-1) = 5.
Substitute:
[tex]f(-1) = 5 = -2c + c(-1) - (-1)^2[/tex]
Simplify:
[tex]5 = -2c - c - (1)[/tex]
Combine like terms:
[tex]6 = -3c[/tex]
And divide. Hence:
[tex]c = -2[/tex]
In conclusion, the value of c is -2.
if an angle is 10 degree less than its complement, find the angle.
Let one be x
Other one is x-10ATQ
[tex]\\ \sf \longmapsto x+x-10=90[/tex]
[tex]\\ \sf \longmapsto 2x-10=90[/tex]
[tex]\\ \sf \longmapsto 2x=90+10[/tex]
[tex]\\ \sf \longmapsto 2x=100[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{100}{2}[/tex]
[tex]\\ \sf \longmapsto x=50[/tex]
[tex]\\ \sf \longmapsto x-10=50-10=40[/tex]
whats the gcf of 50,40
whats the gcf of 14,56,63
9514 1404 393
Answer:
107Step-by-step explanation:
The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.
GCF(40, 50)The difference is 10, which is a factor of both 40 and 50.
GCF(40, 50) = 10
__
GCF(14, 56, 63)You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.
GCF(14, 56, 63) = 7
_____
Additional comment
Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.
For example, let's look at the GCF of 14 and 63.
63/14 = 4 r 7
14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor
what is |-41 | pls hurry
Answer:
41
Step-by-step explanation:
The absolute value means take the non-negative number
|-41| = 41
how to solve 5/6=v+2/7
Answer:
5/6 = v + 2/7
Step-by-step explanation:
5/6 = v + 2/7
23/42 - v = 0
5/6 = 1/7 (7 v + 2)
Answer:
23/42 = v
Step-by-step explanation:
5/6=v+2/7
Multiply each side by the common denominator, 42
42( 5/6=v+2/7)
35 = 42v + 12
Subtract 12 from each side
35-12 = 42v
23 = 42 v
Divide each side by 42
23/42 = v
this is geometry. hi i need help pls.
Answer:
Step-by-step explanation:
Answer:
B is the answer
Step-by-step explanation:
To purchase a car costing $10,000, the buyer bor-
rowed part of the money from the bank at 9% sim-
ple interest and the rest from her mother-in-law at
12% simple interest. If her total interest for the year
was $1080, how much did she borrow from the
bank?
Answer:
She borrowed 4000 from bank.
Step-by-step explanation:
Let 'y' be the amount borrowed from bank. Then 10000-y is the amount borrowed from her mother-in-law.
Let x= interest amount gained by bank . Then 1080- x = interest gained by mother-in-law
I1= interest rate by bank= 9%
I2= interest rate by mother-in-law=12%
Time(T) = 1 year
Now, By Simple Interest formula:
x=PTR/100
Or, x=(y*1*9)/100
Or,100x=9y
or,9y-100x=0...........................Equation (i)
Again 1080-x= ((10000-y)*1*12)/100
Or, 108000-100x=120000-12y
Or, 12y-100x=12000.................Equation(ii)
Solving equation (i) and (ii), we get
y= 4000, which the amount borrowed from bank.
0.008 x 2.5 in standard form is (A) 2 x 10-² (B) 2 x 10 (C) 2 x 10-¹ (D) 2 x 10²
Answer:
(D) 2 x 10²
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope it is helpful.....Answer:
2 × 10 ^2
Step-by-step explanation:
(d) option is correct
The probability of winning a card game is an example of theoretical probability.
True or False
Answer:
nice answer
Step-by-step explanation:
true because there is every assurance that you might lose or win
Daniel practises his guitar for 40 minutes every day
If Daniel practises six days per week for 50 weeks per year, how many years will it take him to log up 10 000 hours of practice?
what is 2/4 divided by 1/4
Answer:
[tex] = \frac{2}{4} \div \frac{1}{4} [/tex]
find reciprocal of ¼:
[tex] = \frac{2}{4} \times \frac{4}{1} \\ \\ = \frac{2}{1} \\ \\ = 2[/tex]
Answer:
2
Step-by-step explanation:
the first step is to change the sign from a division sign to a multiplication sign and when you change the sign you also have to swap one side by placing the numerator down and the denominator up
2/4÷1/4
2/4×4/1
8/4
2
I hope this helps
x^3 -2mx^2 +16
(x+2)
PLS ANSWER FAST
I WILL MARK YOU THE BRANLIEST
If 5x:(x-2) = 11:3 , find the value of x ?
Answer:
x = -11/2
Step-by-step explanation:
The ratios need to stay the same
5x 11
----- = -------
x-2 3
Using cross products
5x*3 = (x-2) 11
15x = 11x - 22
Subtract 11 from each side
15x-11x = -22
4x = -22
x = -22/4
x = -11/2
Answer:
5 whole number 1/2
Step-by-step explanation:
5x:(x-2)=11:3
(:)This simply means ''ratio''
5x/(x-2) = 11/3
(cross multiply)
11(x-2) = 3(5x)
11x-22 = 15x
collect like terms
15x - 11x = 22
4x = 22
x = 22/4, but it is best you put it as a Mixed number.
x = 5 whole number 2/4, which can be reduced to
x = 5 whole number 1/2
Help plz Algebra 1
Simplify numbers 10 and 13 <3
Answer:
10t+2
Step-by-step explanation:
2-5t+8+5t-8
10t+2
10.4825 rounded to the nearest cent plz show work ty ! :D
Answer:
$10.48
Step-by-step explanation:
To the nearest cent, your answer would be 10.48
Plzz help me with this question
Answer:
4
Step-by-step explanation:
The degree is equal to the largest exponent on a variable. In this instance, it is 4.
p-83=129 ?????????????????????????
Answer:
p = 212
Step-by-step explanation:
p-83=129
Add 83 to each side
p-83+83=129+83
p =212
Answer:=212
Step-by-step explanation:
add 83 to both sides and then simplify
−83=129
p-83=129
p−83=129
−83+83=129+83
Mr. Ruiz has $438.60 taken from
his account each month to pay for
the loan on his car. What is the
change in the account caused by
4 months of payments?
I need help right now ASAP!!!please man some on help me
Answer:
hope it helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
S is the midpoint of QR.
⇒ RS = QS
QR ⊥ PS
⇒ ∠RSP = ∠QSP = 90°
In ΔPSR & ΔPSQ,
Statement Reason
RS ≅ QS S is midpoint of QR
∠RSP ≅ ∠QSP QR ⊥ PS
PS ≅ PS Reflexive property
ΔPSR ≅ ΔPSQ Side Angle Side - S A S Congruent
PR≅ PQ CPCTC
Chase took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.20 plus $4.75 per mile. The total fare was $48.70, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride. write the equation
Help me ? :( no spam or
Now
[tex]\\ \sf\longmapsto tan(\alpha+\beta)=\sqrt{3}[/tex]
[tex]\\ \sf\longmapsto \alpha+\beta=60\dots(1)[/tex]
And
[tex]\\ \sf\longmapsto tan(\alpha-\beta)=\dfrac{1}{\sqrt{3}}[/tex]
[tex]\\ \sf\longmapsto \alpha-\beta=30\dots(2)[/tex]
Adding both
[tex]\\ \sf\longmapsto 2\alpha=30+60=90[/tex]
[tex]\\ \sf\longmapsto sin2\alpha=sin90[/tex]
[tex]\\ \sf\longmapsto sin2\alpha=1[/tex]
Wanja had 240 orange trees.Elephant destroyed 36 of them .What was the percentage decrease in the number of the orange trees
Pls mark me brainliest
Help anyone can help me do this question,I will mark brainlest.
Answer:
8 cm
Step-by-step explanation:
AM = MC = BM = (1/2) BC => AM , MC , BM = 5, => BC = 10apply pytago => (AC ^ 2) + (AB ^ 2) = (BC ^2)AB = [tex]\sqrt{BC ^2 - AC ^2}[/tex] = [tex]\sqrt{10 ^2 - 6 ^ 2}[/tex] = 8 (cm)Answer:
4
Step-by-step explanation:
So first let's write the information we got
Angle BAC = 90 degrees
Midpoint of BC = M
AC = 6cm
Am= 5cm
Also I found MC = BM, since it has a line that represents both lines are same
so to find it we have to Pythagoras theorem (A^2 + B^2 = C^2), well it is question we have the 'A value and C Value', also we need to find the value of B to find the length of MC and BM
A = 5
C = 6
so therefore to find B^2, we have to do the reverse, we don't add but subtract
C^2 - A^2 = B^2
___________________________________________________________
Moving on to Calculation
6^2 - 5^2 = B^2
36 - 25 = B^2
B^2 = 9
B = √9
B = 3
MC and BM Length = 3 cm
____________________________
Now, we know the length we again need to use Pythagoras theorem to solve this.
Since we know
A = 5
B = 3
So..
A^2 + B^2 = C^2
5^2 + 3^2 = C^2
25 - 9 = C^2
C^2 = 16
C = √16
C = 4
