The given set of ordered pairs is not a function. The correct option is (C).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
For the given set of ordered pairs, the first element of each pair belongs to the domain and the second element belongs to the range.
If there are two values of y for the same value of x, then it is not one to one mapping which implies that this ordered pair does not represent a function.
Hence, the given set of ordered pairs is a relation but not a function.
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You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.
Answer:
$58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
82-24=58
find the area of Rhombus if its diagonals measure 18 cm and 21 cm
Answer:
189 cm²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × product of diagonals
= [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²
A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?
Answer:
60 in or 5 FT
Step-by-step explanation:
6 x 10 = 60 in
:D
The local car dealership has noticed a 3:1
ratio for people purchasing SUV's to those
purchasing trucks. If they have room for
128 trucks and SUV's on their lot, how
many trucks should they have available to
sell?
Answer:
32 trucks.
Step-by-step explanation:
3:1
Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)
Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is μ=11.00 Mbps. The sample size is n=14 and the test statistic is t=1.484. P-value=nothing (Round to three decimal places as needed.)
Solution :
The null and alternative hypothesis is given by
[tex]$H_0: \mu = 11$[/tex]
[tex]$H_a: \mu \ne 11$[/tex]
Assume that the level of significance, α = 0.05
The t-test statistics is, t = 1.484
Degree of freedom :
df = n - 1
= 14 - 1
= 13
The P-value is given by
P-value = 2P (T>|t|)
= 2P(T>|1.484|)
= 2P(T>1.484)
= 2(=T.DIST.RT(1.484,13))
= 0.05
Determine the negation of the following statement:
x is not equal to 50.
Will give crown help
Answer:
slope=-2
Step-by-step explanation:
Slope = Rise over Run
Here the rise is -4 units and run is 2 units
Therefore,
-4/2 =-2
Hope this helps!
In ΔMNO, m = 89 inches, n = 30 inches and o=71 inches. Find the measure of ∠M to the nearest degree.
Answer:118
Step-by-step explanation:
Trust me
In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To find the measure of angle ∠M, we need to use the law of cosines, which states that:
c² = a² + b² - 2ab cos(C)
To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:
m²= n² + o² - 2no cos(∠M)
Substituting the given values, we get:
89² = 30² + 71² - 2(30)(71) cos(∠M)
Simplifying and solving for cos(∠M), we get:
cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))
cos(∠M) = -0.4402
To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:
∠M = 118.7 degrees
Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees
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4/3 divided by 2/5...............
Answer:
[tex]3 \frac{1}{3}[/tex], or 10/3
Step-by-step explanation:
4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = [tex]3 \frac{2}{6} = 3\frac{1}{3}[/tex]
Answer:
3 1/3
Step-by-step explanation:
When we divide two fractions, such as 4/3 ÷ 2/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
We also simplify the answers to fraction problems whenever possible.
So first we will change 2/5 into its reciprocal, in simple words what fraction is it when its flipped over, 5/2 right? So now we change the division into multiplication, you may or may not have heard this phrase:
Keep, Change, Flip
so now our equation looks like this:
4/3 (5/2)
In a multiplication problem it dosent matter if the denominators are the same so we just straight up multiply, which gives us 20/6. We can still simplify this by 2, so 20 divided by 2 is 10, and 6 divided by 2 is 3, so our new fraction is 10/3, now we can simplify it again to make it proper, so its 10 divided by 3, the numerator goes inside and the denominator goes outside, this gives us 3r1, the denominator (the outside number) will becomes the mixed number, the remainder will become the numerator, and the answer will become the denominator, which gives us our final answer of:
3 1/3
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?
Answer:
21
Step-by-step explanation:
15 divided by 5 is 3
7 times 3 = 21
Answer - There are 21 chocolate chip cookies.
Help!! 10 pts and brainliest!
Answer:
99 square units
Step-by-step explanation:
The scale factor works for linear dimensions like length, width, and perimeter. For a scale factor of k, area changes by k^2.
Here you have a scale factor of 3, so the4 area increases by a scale factor of 3^2 which is 9.
original area = 11 square units
scaled area = 9 * 11 square units = 99 square units
a) by completing the square find in the form of the constant p the roots of the equation x^2+px+4=0
b) hence find the set of values of p for which the equation has no real roots
Answer:
a)
[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
b) p is in the interval (-4,4)
Step-by-step explanation:
Quadratic Equation
It's given the following quadratic equation:
[tex]x^2+px+4=0[/tex]
a)
It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:
[tex]a^2+2ab+b^2=(a+b)^2[/tex]
We already have the first term squared, and we need to find the second term. Rewriting the equation:
[tex]\displaystyle x^2+2(\frac{1}{2}px)+4=0[/tex]
The second term of the binomial is 1/2p, thus completing the squares with [tex]b^2[/tex]:
[tex]\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0[/tex]
Factoring:
[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0[/tex]
Moving the independent term to the right side:
[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4[/tex]
Taking the square root:
[tex]\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
Solving for x:
[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
b) If the equation won't have real roots, then the radicand should be negative:
[tex]\displaystyle \frac{1}{4}p^2-4<0[/tex]
Factoring:
[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]
The zeros of the left-side polynomial are:
[tex]\displaystyle \frac{1}{2}p-2=0[/tex]
[tex]\displaystyle \frac{1}{2}p=2[/tex]
p = 4
[tex]\displaystyle \frac{1}{2}p+2=0[/tex]
[tex]\displaystyle \frac{1}{2}p=-2[/tex]
p = -4
The inequality:
[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]
Is satisfied for values of p in the interval (-4,4)
Are 5 and 0.5 Equal to Each other?
Answer:
no
Step-by-step explanation:
5 is a whole number 0.5 doesn't equal to 1 it is half of 1
Which of the following phrases are expression
-3
8+c<7d
B/12=24/16
8
2a
(10+7)(50+1)
How do you decide which rational number operations to use to solve problems.
Answer:
Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555
Answer:
B) 3.7(1.15)
Step-by-step explanation:
If a relation has more numbers in its range than in its domain, what has to be true?
Answer:
Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.
does this graph show a function. explain how you know.
Answer:
its should be A because theres no vertical line that looks like that lol
Answer:
A. The graph fails the vertical line test, I think.
Step-by-step explanation:
Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown.
Answer:
The correct answer to this problem is the third statement which is "Alexia completed 20 math problems and 10 science problem". The following conditions are stated in the problem:
Alexia can answer 3 minutes on each math problem
Alexia can answer 4 minutes on each science problem
She worked more than 60 minutes
We have the inequality 3x + 4y > 60 where x represents the total number of math problem while y represents the total number of the science problem.
in our answer, we have x=20and y=10
3*20 + 4*10 > 60
60 + 40 > 60
100 > 60
brainliest please
Step-by-step explanation:
Answer:
Its C
Step-by-step explanation:
I just took this assignment. :)
4(-y+3)=2(5-y)
x=?
Merry Christmas
Answer:
Y=1
Step-by-step explanation:
ㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍ
Answer:
Y = 1
Step-by-step explanation:
PLEASE HELP ITS HARD ALGEBRA I WILL MARK BRAINLIEST IF U GET IT RIGHT
Estimate the solution to the following system of equations by graphing.
3x+5=14
6x-4y=9
A. (7/3, 7/2)
B. (4/3, 5/2)
C. (5/2, 4/3)
D. (-5/2, -7/2)
Answer:
C
Step-by-step explanation:
HELP WILL GIVE 15 POINTS
what is the range of this function and pls explain
Answer:
[tex]f(x)\geq -2[/tex]
Step-by-step explanation:
Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is
[tex]f(x)\geq -2\\[/tex]
Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2
please help me answer this!! geometry
Answer:
-2x+7(10+18)
Step-by-step explanation:
Hope this helps
I WILL GIVE BRAINLEST!!!!!!!
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)
PLSSS SHOW YOUR WORK PLSSSS
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Let’s say that she has 10 dimes. 2(10)-5=Q
20-5=15
15 quarters
We doubled her dimes, and subtracted 5 to find quarters.
You can fill anything for D and remind true
Complete the equation of the line whose slope is -2 and y intercept is (0,-8)
Answer:
y=-2x-8
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!
Answer:
882-28282=9191
Step-by-step explanation:
what is the value of f(-4.2) given the function f(x) = 23.2x + 2.5
Answer:
f(-4.2)= -94.94
Step-by-step explanation:
23.2*-4.2= -97.44
97.44+2.5= 94.94
5 divide by 8 plus 9
Answer:
9.625
5 divided by 8= 0.625 + 9 = 9.625
Step-by-step explanation:
Answer:
9.625
Step-by-step explanation:
5/8=0.625, than add 9 to it, and have 9.625
(4+2k)⋅6+3k and cant solve it plz help
Answer:
Simplifying
(4 + 2k) * 6 + 3k = 0
Reorder the terms for easier multiplication:
6(4 + 2k) + 3k = 0
(4 * 6 + 2k * 6) + 3k = 0
(24 + 12k) + 3k = 0
Combine like terms: 12k + 3k = 15k
24 + 15k = 0
Solving
24 + 15k = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 15k = 0 + -24
Combine like terms: 24 + -24 = 0
0 + 15k = 0 + -24
15k = 0 + -24
Combine like terms: 0 + -24 = -24
15k = -24
Divide each side by '15'.
k = -1.6
Simplifying
k = -1.6
Step-by-step explanation:
Just need help with 6 please
Answer:
Congruent, SSS
Step-by-step explanation:
The dashes on the sides of the triangles represent that the corresponding lengths of the triangles are equal in length. Since it is given that all corresponding lengths of the triangles are equivalent, the triangles are congruent by the SSS (side, side, side) test.
Hope this helps :)