At target, they have 4 DVDs for $36. What is the constant of proportionality that relates the cost of DVDs, y, to the number of DVDs bought, x?
Answer:
Step-by-step explanation:
Cost of 4 DVDs = $36
Cost of 1 DVD = 36÷ 4 = $9
Cost of x DVD = 9 *x = 9x
y = 9x
An absolute value function can be written as a piecewise function always, sometimes, or never? Your answer should demonstrate an understanding of both types of functions. Explain your answer using complete sentences.
Hello,
Let us choose an element x of the Real Numbers. So x can either be positive or negative. So we have two case to study :
Case 1 : x is positive.
If x is positive, that is, x = 0, 1, 2, 3, ....
then the absolute value gives us the same number : |0| = 0
|1| = 1
|2|= 2
etc.
so the absolute value of x positive equals x : |x| = x
Case 2 : x is negative.
If x is negative, that is, x = - 1, - 2, -3, .....
then the absolue value gives us the opposite value : |-1| = - (-1) = 1
|-2| = -(-2) = 2
|-3| = -(-3) = 3
(Remember the product of two negative sign is a positive signe : -1 * -1 = +1)
And so we can join both cases as a piecewise function, writing :
|x| = [tex]\left \{ {{x=x if x\geq 0 } \atop {x= - x if x<0 }} \right.[/tex]
so x = x if x ≥ 0 and x = - x if x < 0
Finally the answer is : it depend on the function itself. If the function takes both positive and negative value, then the absolute value of the function will be written as a piecewise function. If the function takes only positive or negative value, then it won't be written as a piecewise function.
PLEASE HELP!! DUE IN 1 HOUR!!
Answer:
b
Step-by-step explanation:becuse if you addd its b
What is the value of 2x(3+x/2) when x=−2?
Answer:
-8
Step-by-step explanation:
[tex]2x(3+\frac{x}{2})[/tex] [tex]2*(-2)(3+\frac{(-2)}{2})[/tex] [tex]-4(3+(-1))[/tex] [tex]-4(2)[/tex] [tex]-8[/tex]Lucy runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
A box weighs 90 grams write down in terms of b the weight of b boxes
PLEASE HELPPPPP
Write an equation to represent the total number of words, y, that Mrs. Garcia can type in x minutes. __________
If Mrs. Garcia maintains a constant speed consistent with the results above, how many words will she type in 49 minutes?___________
Answer:
3,430
Step-by-step explanation:
because if you multiply 49 x70 you get the answer
Answer:
a) y = x*70
b) 3430 words
Step-by-step explanation:
b) y = x*70
y = 49*70
y = 3430
In a class of 52 students, 16 are science students. If I/3 of the boys and 1/4 of the girls are science students, how many boys are in the class?
Answer:
36
Step-by-step explanation:
x = # of boys, y = # of girls
x/3+y/4=16; mult. ea side by 12: 4x+3y=192 (1)
x+y=52; mult. ea side by 3: 3x+3y=156 (2)
(1)-(2)=x=36
m2-n2 factorization plz
Answer:
(m+n)(m-n)
Step-by-step explanation:
formula: x^2 - y^2 = (x+y)(x-y)
add m and n to x and y to get
m^2 - n^2
then the formula says insert the m and n into the formula answer of (x+y)(x-y) to get our answer of
(m+n)(m-n)
Solve for x.
x + 15
9
X =
if anyone can help me that would be great
30+[10+(3²-4)]
30+[10+(9-4)]
30+[10+5]
30+15
45
please someone help me. Im giving brainliest!!
Answer:
False
Step-by-step explanation:
You'll add 10 to both sides. you'll end up with
2x =24.
Now, you divide 2 on both sides.
x=12
Ana was given $180 for her birthday,
She spent 1/3
of her money on a helmet:
13/20
of her money on a skateboard
The rest was spent on stickers
She spent
.
How much did Ana spend on stickers?
Answer: 3
Step-by-step explanation:
180 / 1/3 = 60
180 / 13/20 = 117
117 + 60 = 177
180 - 177 = 3
By which rule are these triangles congruent?
A)
AAS
B)
ASA
SAS
D)
SSS
Answer:
i think
these triangles are congruent by the rule of AAS
If there are 45 students in a classroom, of which 52% are women under 18 years of age. Please indicate:
a. How many male students are there in the class?
b. Is it possible to say that most of the students are minors?
Answer:
A. 22
b. Yes. Because there are 23 woman and they are all under 18 and there are 22 males. In which we don't know if they are underage, but it doesn't really matter because there is one more girl in the room than boys. And all woman are underage so there for there are more underage students in the room.
Step-by-step explanation:
Hope this helps :)
Pls make brainliest :p
And have an amazing day <3
Answer:
there would be 21.6 males. That doesn't work, so you'd have 21 or 22(probably 22)
yes, most of the students are minors. 52% percent at least are under 18 years. 52% is more than half, so that would make it so most are minors.
Step-by-step explanation:
Use properties of exponents to solve for a and b in the problem below. No calculator allowed. Please help; I don't know what I'm doing.
Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 42°. What is m∠D?
Answer:
Step-by-step explanation: Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 57°. What is m∠D? can someone help plsss
If Triangle ABC is congruent to triangle DEF then measure of angle D is 48 degrees.
Given, Triangle ABC is congruent to triangle DEF.
Angle sum property of triangle: Sum of all the interior angles of the triangle is 180 degrees.
Congruent triangles: When two triangles are congruent they are similar in shape and coincide when superimposed.
Now in triangle ABC,
∠B = 90°
∠C = 42°
Apply angle sum property,
∠A + ∠B + ∠C = 180 degrees
∠A + 90° + 42° = 180°
∠A = 48°
When Triangle ABC is congruent to triangle DEF,
∠A = ∠D
∠B = ∠E
∠C = ∠F
Thus measure of angle D is equal to measure of angle A.
∴∠A = ∠D = 48°
Know more about congruent triangles, here:
https://brainly.com/question/29066609
#SPJ3
Juwan is throwing a birthday party for his son. He originally ordered 3 pizzas, but he realizes that his son invited more people than he thought, so he decides to order at least 1 more pizza for every 4 people that come to the party. The total number of pizzas, y, can be expressed in terms of the number of people that show up to the party, x. Which inequality represents this situation?
1.
[tex]y \geqslant - \frac{1}{4} x + 3[/tex]
2.
[tex]y \geqslant \frac{1}{4} x + 3[/tex]
3.
[tex]y \leqslant 4x - 3[/tex]
4.
[tex]y \leqslant 4x + 3[/tex]
Answer:
b.
Step-by-step explanation:
There are two integers that combine to -19 and their product is 70. Find the two integers, then the SMALLER integer is your answer for this question?
Answer:
-14
Step-by-step explanation:
a + b = -19
(a)(b) = 70
To solve this problem, isolate one variable in one of the two equations and then substitute it in.
So, a + b = -19
-> a = -19 - b
b(-19 - b) = 70
Distribute.
-19b - b^2 = 70
Move all to one side.
b^2 + 19b + 70 = 0
Factor. Find two numbers that multiply to 70, but add to 19.
(b + 5) (b + 14) = 0
Zero product rule.
b = -5, b = -14
Now, substitute the two answers for b back into the original equation for a.
a - 14 = -19
a = -5
a - 5 = -19
a = -14
So, the answers are b = -5, b = -14, a = -5, a = -14. Since you said that the smallest integer is the answer, the answer is -14.
1. If two lines intersect at a point, then the vertically opposite angles are
Answer:
Congruent
Step-by-step explanation:
They are the same because they are vertical angles.
-Chetan K
Simplify the fraction 2.5/18
Answer:
1/7.2
Step-by-step explanation:
if you divide the numerator and denominator by 2.5, you have one as the numerator and 7.2 as the denominator.
if a =5 b =6 and c=a-2 . answer the question , 8a-2b+1c
Answer:
here given.,
a =5 b =6 and c=a-2(5-2=3)
putting the given value in the equation...we get..
=8*5-2*6+1*3
=40-12+3
=43-12
=31
Can someone plss help me with this!!
QUESTION: How do we communicate to a computer of what to put on a web page?
Answer:
you just type it in u can't talk to a computer
43. Ozzie Foster deposits $2,000 at the end of each year (Ordinary annuity) into an Individ-
ual Retirement Account at Boise Bank. The account pays 7% compounded annually. (a)
How much will be in the account in 25 years? (b) If Ozzie had deposited the $2,000 at the
beginning of each year (Annuity due), how much would be in the account in 25 years?
Answer:8349y
Step-by-step explanation:
May I please receive help?
hmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
Step-by-step explanation:
1st, 3rd, and 6
someone answer this please
Answer:
Neither
Step-by-step explanation:
A = (-2,-5) and B = (4,7)
Slope = (7 - - 5)/(4 - - 2)
= 12/ 6 = 2
Slope = 2
C = (0,2) and D = (8,2)
Slope = (2 - 2) / 8 - 0)
= 0 / 8 = 0
Slope = 0
October 2021 to Present
1 hours per week [ ?] weeks per year
Is the relation below a function? If it is a function, state its domain. (0, 3) , (2, -3) , (1, 8) ,(2, 3)
A. The relation is not a function.
B. The relation is a function. The domain is {0 , 1, 2}
C. The relation is a function. The domain is {-3 , 3, 8}
D. The relation is a function. The domain is {-3, 0, 1, 2, 3, 8}
The relation (0, 3) , (2, -3) , (1, 8) ,(2, 3) is a function. The domain is {0 , 1, 2}; Choice B
Definition:
A relation can only be termed a function if it relates each element in its domain to only one element in the range.In essence, When the graph of a function is plotted, a vertical line will intersect it at only one pointThe domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.Read more:
https://brainly.com/question/910323
graph the inequality B is greater than -3