Answers
Answers:
Functions
y = -x+11y = 2x^2-6x+4y = -7Not functions
x = 3x^2+y^2 = 81y^2 = -5x-12=======================================================
Explanation:
A function is possible if and only if any given x input leads to exactly one y output.
For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.
We have the same thing going on with y^2 = -5x-12 as well.
For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.
-----------------
In summary, we have these three non-functions:
x = 3x^2+y^2 = 81y^2 = -5x-12Everything else is a function. You can use the vertical line test as a visual way to check.
Related Questions
There are 3200 students at Lake High School and 310 of these students are sophomores. If 38 of the sophomores are in favor of the school forming a crew team and 34 of the remaining students (not sophomores) are also in favor of forming a crew team, how many students are opposed to this idea?
Answers
Answer: 3128 students
Step-by-step explanation:
Total no of students in the school : 3200
No of sophomores in favor of the school forming a crew team : 38
No of the remaining students in favor of forming a crew team : 34
Total students in favor of forming a crew team = 38+34= 72
No of students against it : Total students - Students in favor
= 3200-72 = 3128 students
please help (picture) 25 points
Answers
Answer:
1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20
2) P = 4(5x-2) = 20x-8
I need help
solve for x
log16x=1/4
Answers
Answer:
[tex]log16x = \frac{1}{4} \\ x = \frac{ {10}^{ \frac{1}{4} } }{16} \\ x = 0.111[/tex]
The measures of two angles of a triangle are 36 degree and 75 degree . The length of the shortest side of a triangle is 10 cm . The length of longest side of the triangle is:?
Answers
You can text me if you don’t understand anything
What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3
Answers
Answer:
[tex]\displaystyle x=-\frac{1}{6}, 3[/tex]
Step-by-step explanation:
Hi there!
[tex]y = 6x^2 - 17x - 3[/tex]
Factor by grouping:
[tex]y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)[/tex]
Let y=0. Apply the zero product property:
[tex]0 = (6x+1)(x- 3)[/tex]
[tex]6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}[/tex]
AND
[tex]x-3=0\\x=3[/tex]
I hope this helps!
Mark made a sandwich that was 5 inches long and 7 inches high. If he cuts
the sandwich in half, what would be the diagonal length of the sandwich?
Answers
Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
Learn more about length
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PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)
Answers
Answer:
The correct answer is - A.(112.86, 127.14)
Step-by-step explanation:
Given:
mean = $120
sd = $17.50
n = 40
Solution:
Confidence interval for a populationcan be express as mean +/- margin of error (E)
degree of freedom = n-1 = 40-1 = 39
confidence level (C) = 99% = 0.01
significance level = 1 - C = 1 - 0.01 = 0.99 = 99%
by margin of error E = t×sd/√n = 2.58*17.50/√40
= 2.58*2.76
= 7.138 or 7.14
then the lower limit of mean = mean - E = 120 - 7.14 = $112.86
and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14
A train is exactly 24km from Smalltown at 7:00p.m. It travels toward Smalltown at a constant rate of 90km per hour. At what time does the train reach Smalltown?
Answers
Answer:
7:16 P.M.
Step-by-step explanation:
24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.
Nghiệm của bất phương trình | 2x - 3| - 1 <0
Answers
Answer:
x = 1 và 2 x= 1 and 2
Step-by-step explanation:
Đầu tiên trừ đi 1 để được 2x-3 nhỏ hơn -1 sau đó bạn lập phương trình bằng 2x-3 = -1 và 2x-3 = 1 để nhận được kết quả cuối cùng là 1 và 2 do đó x = 1 và 2
First subtract 1 to get 2x-3 is less then -1 then you let the equation equal 2x-3=-1 and 2x-3=1 to get a final answer of 1 and 2 therefore x=1 and 2
find the missing side. Round it to the nearest tenth.
Answers
Answer:
37.3
Step-by-step explanation:
tan63 = opposite/adjacent = x/19
x = 19tan63 = 37.2895 = 37.3
Formula used: [tex]b=\sqrt{c^2-a^2}[/tex]
a = 19
b = x
c = 63
solution
b = [tex]\sqrt{c^2-a^2}[/tex]
b = [tex]\sqrt{63^2-19^2}[/tex]
b = [tex]\sqrt{3,969 -361}[/tex]
b = [tex]\sqrt{3,608}[/tex]
b = [tex]\sqrt{60.0666}[/tex]
rounded off: 60.0 or just 60
x = 60
HELP!
what is the y-intercept of the function f(x)=5*(1/6)^x
Answers
Answer:
The y intercept is (0,5)
Step-by-step explanation:
f(x) = 5 * (1/6)^x
What is the y intercept? Let x = 0
f(0) = 5 * (1/6)^0
f(0) = 5*1 = 0
The y intercept is (0,5)
Find the volume of this cylinder. 9cm 20cm
a 29cm
b 38cm
c 180cm
d 1620cm
Answers
Step-by-step explanation:
v=Ah
A=9×12
= 108
then, v=108×8
A metal rod will be cut into pieces that are each 1/56 meters long. The rod is 7/8
meters long how many pieces will be made from the rod? Write in simplest form.
Answers
7/8 = x/56
x = 7 x 7
so, 49/56 = rod
so, 49 pieces will be made
hope it helps :)
a regular deck of cards has a total of 52 cards. (Note: Aces count as 1.) if one card is drawn at random from the deck, find the probability of the following events: it a 7, 8, or a king
Answers
7s - 4:52 or
8s - 4:52
There are also 4 Kings
Kings - 4:52
Simplified, these probabilities are 1:13 SEPERATE.
Together, it would be:
(4)3 = 12:52, which would be 3:13
Good luck :)
I just need to know if my answer is correct or not please!
Answers
Answer:
Step-by-step explanation:
correct 100%
Select the correct answer.
Look at ΔABC. Which triangle is congruent to ΔABC by the ASA criterion?
Answers
Find EF
-----------------------------------------------
Answers
===========================================================
Work Shown:
(whole length)*(external part) = (whole length)*(external part)
(EG)*(FG) = (SG)*(HG)
(2x+4)*(4) = (x+5)*(5)
8x+16 = 5x+25
8x-5x = 25-16
3x = 9
x = 9/3
x = 3
Use this x value to find EF
EF = 2x
EF = 2*3
EF = 6
For more information, search out "secant secant formula". It's not a typo that I wrote "secant" twice.
Which of the lines below has a negative slope?
Answers
The answer is A. Line A.
Answer:
A
Step-by-step explanation:
A negative slope goes down from left to right
A positive slope goes up from left to right
A zero slope is a horizontal line
An undefined slope is a vertical line
A is a line that goes down from left to right
(|5 - 3x | - 1) - ( 1 - 3x ) = 0
Answers
(| 5 - 3x | - 1) - (1 - 3x) = 0
|5 - 3x| - 1 - 1 + 3x = 0
|5 - 3x| - 2 + 3x = 0
1) (5 - 3x) - 2 + 3x = 0, if 5 - 3x >= 0
3 = 0. has no solutions
2) -(5 - 3x) - 2 + 3x = 0, if 5 - 3x < 0
-5 + 3x - 2 + 3x = 0
6x = 7
x = 7/6
5 - 3x < 0
-3x < -5
x > 5/3.
has no solutions
what is 8^100 / 8^50 is 8^50
Answers
Answer:
5000
Step-by-step explanation:
The F ratio increases as _________. Group of answer choices the variability between means increases relative to the variability within groups the variability within groups remains the same the total variability decreases the total variability increases the variability between means decreases relative to the variability within groups
Answers
Answer:
The F-Ratio increases as, the variability between means increases relative to the variability within groups
Step-by-step explanation:
The F-Ratio is given as follows;
[tex]F-Ratio = \dfrac{MS_{between}}{MS_{within}}[/tex]
Where;
[tex]MS_{between}[/tex] = The variance between groups
[tex]MS_{within}[/tex] = The variance within groups
Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups
what is the volume of the cylinder
Answers
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
which one is the 25th island of Greece?
1. amorgos
2. sus island
3. the hair of dog
Answers
Answer:
obviously sus island
Step-by-step explanation:
SEE QUESTION IN IMAGE
Answers
Answer:
B. 48°Step-by-step explanation:
∠OST = 90° as ST ⊥ OS (tangent is perpendicular to radius at same point)
m∠OSP = 1/2(180° - m∠SOP) = 90° - 96°/2 = 42° (sum of interior angles of the triangle SOP)
m∠PST = 90° - m∠OSP = 90° - 42° = 48° (angle addition postulate)
Correct choice is B
Value ofc -x^2+3x+c=0
Answers
Answer:
they are the values of the 3 coefficients.
Step-by-step explanation:
what is the correct expansion of this expression (w-p)(3p+w)
Answers
Answer:
3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2
Step-by-step explanation:
Multiply every term of the first binomial by every term of the second binomial.
(w - p)(3p + w) = 3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2
In order for a quadratic to have a vertical compression, what can be said of the a control
value
Answers
Answer:
The function will have a vertical compression when 0 < α < 1
Step-by-step explanation:
The vertex form of a quadratic function showing the factors of the transformation of the function, is presented as follows;
[tex]f(x) = a \cdot \left(\dfrac{x}{c} - h \right)^2 + k[/tex]
The vertical scaling of the function (compression and stretching) is given by the value of the α control coefficient
A vertical stretch occurs when α > 1, while a vertical compression occurs when 0 < α < 1
Therefore, in order for a quadratic function to have a vertical compression, 0 < α < 1.
can somebody pls help me!?!?!
Answers
Answer:
Orange juice
Step-by-step explanation:
The unit rate is the cost for one unit (e.g. per jug). All other options display the cost for more than one unit (e.g. 3 bags; 10 pages; 2 dozen)
In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is
Answers
Answer:
17
Step-by-step explanation:
Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so
[tex]50 + x + x = 180[/tex]
[tex]50 + 2x = 180[/tex]
[tex]2x = 130[/tex]
[tex]x = 65[/tex]
This means angle b and C of the triangle ABC measure is 65.
External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.
This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so
[tex]32.5 + 65 + x = 180[/tex]
[tex]98.5 + x = 180[/tex]
[tex]x = 81.5[/tex]
Angle C is 81.5 as well so
[tex]81.5 + 81.5 = 163[/tex]
Find angle o
[tex]180 - 163 = 17[/tex]
The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
C OF
O {xx <4.5)
O {x| 4.5}
{x | x > 4.5)
O {x|x 2 4.5}
-5
0
1
2
3
4 5
Save and Exit
Next
SUOMI
Mark this and return
Answers
From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.
From the given number line, we have inequality as {x|x≤4.5}
Therefore, option B is the correct answer.
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