Answer:
Function A is a function because the inputs on the table do not repeat any number, implying that each input has exactly one output. Function B is not a function because the inputs show that the number 6 is repeated. Function C is not a function because if we make a table, we can see that numbers repeat on the input, so Function C is not a function. Function D is a function because it would pass the vertical line test because no lines overlap with each other or have the input repeating.
Using the function concept, it is found that relations b and c does not represent a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.
For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.
In item b, when x = 6, there are two values of y, hence this is also not a function.
More can be learned about relations and functions at https://brainly.com/question/12463448
#SPJ1
PLS HELPSSSPSPSPSSPSP What is the congruence correspondence, if any, that will prove the given triangles congruent?
A)ASA
B)AAS
C)HL
D)SAS
Answer:
D
since we know two sides and one angle
hope it helps!
Step-by-step explanation:
2x-3y=42 solve for y
Answer:
y=14+(2/3x)
Step-by-step explanation:
Your main goal is to get Y by itself on one side.
To start subtract 2x from both sides. This will give you -3y=42-2x.
Then you divide both sides by -3 to get Y by itself.
That will leave you with ...
y=14+(2/3x)
(remember the negatives cancel each other out)
1... -14 6(3k + 5)----------------------------------------------------------------------------------------------
------------------------------------------------------------------------------------------------------------------------------
Answer:
-5/3, or in decimal form, -1.666.
Step-by-step explanation:
a. -146 (3k+5) --- distribute the -146 to "3k" and "+5."
b. -438k - 730 = 0 --- get the variable k to one side of the equation.
c. -438k=730 --- divide by -438 on both sides.
d. the answer you get is 730/-438, which, in simpler terms, is -5/3, or -1.666.
Hope this helps! :)
Answer:
5 > xb < 8k < 1Step-by-step explanation:
-14 < 1 + 8x - 5x
-14 < 1 + 3x
-15 < 3x
5 > x
-5b - 8(-2 - 2b) < 104
-5b + 16 + 16b < 104
11b + 16 < 104
11b < 88
b < 8
-4(5 + 8k) > 6(3k + 5)
-20 - 32k > 18k + 30
-32k > 18k + 50
-50k > 50
k < 1
Best of Luck!
In a survey of 104 Bow Valley College studants, 52 were taking a math course, 50 wore taking a bioloor courno, and 51 were taking an Engish coune of those, 16 were taking math and English, 20 were taking math and biology, 18 wore taking biology and English, and 9 were taking alfithe theoe courses. Show this information in a Venn diagram. How many students took only math?
7 students took only Math.
To show the information in a Venn diagram, we can draw three overlapping circles representing Math, Biology, and English courses. Let's label the circles as M for Math, B for Biology, and E for English.
52 students were taking a Math course (M)
50 students were taking a Biology course (B)
51 students were taking an English course (E)
16 students were taking both Math and English (M ∩ E)
20 students were taking both Math and Biology (M ∩ B)
18 students were taking both Biology and English (B ∩ E)
9 students were taking all three courses (M ∩ B ∩ E)
We can now fill in the Venn diagram:
M
/ \
/ \
/ \
E-------B
Now, let's calculate the number of students who took only Math. To find this, we need to consider the students in the Math circle who are not in any other overlapping regions.
The number of students who took only Math = Total number of students in Math (M) - (Number of students in both Math and English (M ∩ E) + Number of students in both Math and Biology (M ∩ B) + Number of students in all three courses (M ∩ B ∩ E))
Number of students who took only Math = 52 - (16 + 20 + 9) = 52 - 45 = 7
Learn more about Venn diagram here
https://brainly.com/question/17041038
#SPJ11
Some please help me with this question
Answer:
y = - 2x + 9
Step-by-step explanation:
From y = -2x + 1
comparing with y = mx + c
slope (m) = - 2
Writing in point slope form
y - y1 = m(x - x1)
y - 1 = -2( x - 4)
y - 1 = -2x + 8
Now writing in slope intercept form
y = - 2x + 8 + 1
y = -2x + 9
Hope it will help :)
what is 10X greater than 3.5
Answer:
35
Step-by-step explanation:
Hope this helps:)
250 miles in 3.5 hours
Answer:
Below
Step-by-step explanation:
You are given miles ( 250) and hours ( 3.5)
I suppose you want miles per hour = 250 mi / 3.5 hr = 71.4 m/hr
find the zeros of p(x)= (x-3)(x+3)(2x+1) HELP PLEAEE
Answer:
3, -3, -1/2
Step-by-step explanation:
There is no need to distribute, just set each parenthesis to equal to zero.
p(x)= (x-3)(x+3)(2x+1)
X-3=0 x+3=0 2X+1=0
+3 +3 -3 -3 -1 -1
X=3 X=-3 2x=-1
x=-1/2
So your answers are 3, -3, -1/2
Isha, a super excited candy crush user, has increased her points by 75% percents in a week. shes at 14000 points now. how many points did Isha have on candy crush last week?
If she has increased by 75% in a week to get 14000 points then we can say that 175% times a number has to equal 14,000 , where the number of points she had last week.
175% * x = 14000
1.75x =14000 Divide both sides by 1.75
x= 8000
So she had 8000 points last week.
Check:
175% * 8000= 14000
1.75 * 8000 = 14000
14000 = 14000
Answer:
8,000 points
Step-by-step explanation:
x + 0.75x = 14,000 (the initial amount of points X plus 0.75x)
1.75x = 14000
x = 14000/1.75
x = 8,000
Write an equation in slope intercept form for: m = - 1 and b = 2
Answer:
y=-1x+2
or
y=-x+2
y=mx+b
substitute
you get y=-1x+2
What is the range of possible sizes for side x?
Answer:
Should be 3.9
Step-by-step explanation:
prove me wrong
If X=6and Y=4 work out the value of 2Y ²
Answer:
64
Step-by-step explanation:
A
B
C
D
19.86 m
23.78 m
16.31 m
39.42 m
The measure of the side 'x' is 16.31 m. The correct option is C.
Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.
Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.
The value of x will be calculated as,
sin65° = x / 18
x = 18 x sin65°
x = 16.31 m
Hence, the correct option is C.
To know more about trigonometry follow
https://brainly.com/question/31613548
#SPJ1
I need help on this equastion.
Answer:
x = 10
Step-by-step explanation:
\(3 + \frac{x}{5} = 5 \\ = > \frac{15}{5} + \frac{x}{5} = 5 \\ = > \frac{15 + x}{5} = 5 \\ = > 15 + x = 5 \times 5 \\ = > 15 + x = 25 \\ = > x = 25 - 15 \\ = > x = 10\)
What is the solution given the expression 7x^-2 when X = 3 and y = 9
The expression with a variables is 7x²y when x is 3 and y is 9 is 567.
Given that,
The expression with a variables is 7x²y.
We have to find the value when x is 3 and y is 9.
Any thing that has multiple possible values is considered a variable. What does that mean, then? A variable is anything that could possibly change. Age, for example, might be considered a variable because it might signify different things to different people or to the same person at different periods. A person's nationality can function similarly by having a value assigned to it.
By substituting in the expression we get,
7(3)²(9)
7×9×9
567
Therefore, the expression of variables 7x²y when x is 3 and y is 9 is 567.
To learn more about variables visit: https://brainly.com/question/17344045
#SPJ1
An electrical engineer designed a model of a field where four standing telephone poles represent four edges of a rectangular prism, as modeled below. B A E 12 in 15 in 0 5 in D H Note: Figure is not drawn to scale. The engineer labeled the tops and bottoms of each telephone pole as a vertex on the rectangular prism to keep track of where wires need to be attached. The engineer must find the required lengths of wire needed to connect three vertices to point G. Find the lengths, in inches, that each of the wires must be on the model. Then, order the lengths from least to greatest. Answers should be rounded to the nearest hundredth of an inch.
Answer:
EG<DG<AG
Step-by-step explanation:
What is the algebraic expression of the function F? a. \( F=(X+\gamma+Z)(X+Y+Z)(X+\gamma+Z)(X+Y+Z)(X+Y+Z) \) b. \( F=(X+Y+Z) \cdot(X+Y+Z)(X+Y+Z) \cdot(X+Y+Z) \cdot(X+\gamma+Z) \) C \( F=(X+Y+Z)(X+Y+Z)
Option-C is correct that is the algebraic expression of the function F = (x +y +z').(x +y' +z').(x' +y +z) from the circuit in the picture.
Given that,
We have to find what is the algebraic expression of the function F.
In the picture we can see the diagram by using the circuit we solve the function F.
We know that,
From the circuit for 3 - to - 8 decoder,
D₀ = \(\bar{x}\bar{y}\bar{z}\)
D₁ = \(\bar{x}\bar{y}{z}\)
D₂ = \(\bar{x}{y}\bar{z}\)
D₃ = \(\bar{x}{y}{z}\)
D₄ = \({x}\bar{y}\bar{z}\)
D₅ = \({x}\bar{y}{z}\)
D₆ = \({x}{y}\bar{z}\)
D₇ = xyz
We can see bubble after D₀ to D₇ in the circuit,
So, Let A = \(\bar{D_1}\) = \(\overline{ \bar{x}\bar{y}{z} }\) = x + y + \(\bar{z}\)
Now, Let B = \(\bar{D_3}\) = \(\overline{ \bar{x}{y}{z} }\) = x + \(\bar{y}\) + \(\bar{z}\)
Let C = \(\bar{D_4}\) = \(\overline{ {x}\bar{y}\bar{z} }\) = \(\bar{x}\) + y + z
Now, Output F = A.B.C
F = (x + y + \(\bar{z}\)).(x + \(\bar{y}\) + \(\bar{z}\)).(\(\bar{x}\) + y + z)
F = (x +y +z').(x +y' +z').(x' +y +z)
Therefore, The algebraic expression of the function F = (x +y +z').(x +y' +z').(x' +y +z).
To know more about function visit:
https://brainly.com/question/30880785
#SPJ4
The question is incomplete the complete question is -
What is the algebraic expression of the function F.
Option-
a. F = (x+y+z)(x+y'+z)(x'+y+z')(x'+y'+z)(x'+y'+z')
b. F = (x'+y'+z')(x'+y+z)(x+y+z')(x'+y+z)(x+y+z)
c. F = (x +y +z').(x +y' +z').(x' +y +z)
d. F = (x' +y' +z').(x +y +z').(x +y +z)
3x^2 – 8x + 5 = 5x^2
Answer:
Step-by-step explanation:
\(3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\\)
a = 2, b = 8, c = -5
\(x = \frac{-b \pm \sqrt{b^2 -4ac} }{2a}\\\\x = \frac{-8 \pm \sqrt{8^2 - ( 4 \times 2 \times (-5))} }{2 \times 2}\\\\x = \frac{-8 \pm \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{64 +40} }{4} \ , \ x = \frac{-8 - \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{104} }{4} \ , \ x = \frac{-8 - \sqrt{104} }{4}\\\\x = \frac{-8 + \sqrt{4 \times 26} }{4} \ , \ x = \frac{-8 - \sqrt{4 \times 26} }{4}\\\\x = \frac{-8 +2 \sqrt{26} }{4} \ , \ x = \frac{-8 - 2\sqrt{26} }{4}\\\\\)
\(x = \frac{-4 + \sqrt{26} }{2} \ , \ x = \frac{-4 - \sqrt{26} }{2}\)
the perimeter of this isosceles triangle is 47 cm. what is the length of each of its legs? a. 15 cm b. 17.5 cm c. 19.5 cm d. 35 cm
17.5 cm is the length of each of its legs
Find the area of the above parallelogram
Answer:
30 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here
b is the horizontal measure between 2 red points, that is 6
h is the vertical measure from the lower left point to the other horizontal line, that is 5, then
A = 6 × 5 = 30 units²
Can someone please help me with math.
Answer:
B
Step-by-step explanation:
The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).
we can see b intersects on (0,1) so that is out answer.
6. Adlise Leiber started the day with a bank balance of $343.64.
She used another bank's ATM to withdraw $100 cash. The
charge for using the ATM was $2.50. Adlise then used her
card to make purchases of $85.10, $23.95, and $8.47. Find
the balance in her account after the bank processed these
transactions.
Answer:
$123.62
Step-by-step explanation:
85.10 + 23.95 + 8.47 = 117.52
117.52 + 100 + 2.50 = 220.02
$343.64 - $220.02 = $123.62
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. it is believed that the machine is underfilling or overfilling the bags. a 301 bag sample had a mean of 431 grams with a variance of 324 . assume the population is normally distributed. a level of significance of 0.02 will be used. specify the type of hypothesis test.
The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.
The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.
The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).
The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:
H0: μ = 433
The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:
Ha: μ ≠ 433
To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.
If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.
If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.
Learn more abou hypothsis test at https://brainly.com/question/24212565
#SPJ11
Review the following problem and answer the questions that follow.
Answer:
1) 2 should be added with 12 only and not with 6x as 6x and 2 are not like terms.
2) When adding polynomials, You should add only like terms.
Step-by-step explanation:
The steps done are:
Step 1: y-2=6x+12
Step 2: Add 2 on both sides
y-2+2=6x+12+2
Answer : y=8x+14
1) What mistake did I made?
You made a mistake in step 2,
When adding polynomials, you add only like terms. i.e
y-2+2=6x+12+2
y=6x+14
2 should be added with 12 only and not with 6x as 6x and 2 are not like terms.
2) Suggestion to avoid Such mistake in the future.
When adding polynomials, You should add only like terms.
Like terms are those that have same degree of variables i,e
2x and 3x, 2x^2 and 3x^2, 2 and 3 they all are like terms.
You can add 2x and 3x but can't add 2x and 2x^2 as they are not like terms.
So, while solving polynomials always add like terms.
How can you get better at mathematics? I really want to improve (I'll mark brainliest)
Answer:
I use Khan Academy
Step-by-step explanation:
but really you just have to study and try
don't be afraid to ask questions :)
PLEASE ANSWER, HURRY!!!
Hello!
1/6 ≈ 0.167
the answer is 0.167
Express x² + 4x – 7 in the form (x + p)² - q, where p and q are integers
Expressing x² + 4x – 7 in the form (x + p)² - q, where p and q are integers, we get p = 2 and Q= 11
Integer:
An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). A negative number is the additive inverse of the corresponding positive number. In the language of mathematics, sets of integers are usually denoted by a bold Z.
To find: To express x² + 4x - 7 in the form (x+ p)² - q and determine the values of p and q.
The values of p and q are 2 and 11 respectively.
By completing the square method;
⇒ p = (4/2) = 2.
Therefore,
by expanding (x+ p)² i.e., (x+2)²
By expanding the above (x+2)² We have;
x² + 4x + 4
However,
The question is given as x²+4x-7
Therefore, by comparison between;
x² + 4x + 4 and x²+4x-7; we have:
x² + 4x + 4 = x²+4x-7
⇒ 4 - q = -7,
and, q = 7+4
⇒ q = 11
The values are p =2 and q = 11.
Learn more about Integer:
https://brainly.com/question/15276410
#SPJ4
Can someone help me solve this triangle (geometry) question?
Answer:
I hope it will help you...
what is the value of 5 in 3590
Answer:
500
Step-by-step explanation:
The 5 means 500. The whole number is read three thousand-five hundred-ninety
if the number is selected from all six-digit numbers whose digits sum up to 52, what is the probability that it is divisible by 11?
To calculate the probability of selecting a six-digit number with digits summing up to 52 and being divisible by 11, we need to determine the number of valid numbers meeting these criteria and divide it by the total number of six-digit numbers with digits summing up to 52. The resulting probability will depend on the specific calculation.
To find the probability, we first need to calculate the number of six-digit numbers whose digits sum up to 52. This involves finding all possible combinations of digits that add up to 52. However, without further information about restrictions or patterns, it is challenging to provide an exact count.
Next, we need to determine how many of these numbers are divisible by 11. A six-digit number is divisible by 11 if the difference between the sum of its odd-positioned digits and the sum of its even-positioned digits is either 0 or a multiple of 11.
By calculating the count of six-digit numbers satisfying these divisibility conditions, we can then divide it by the total count of six-digit numbers with digits summing up to 52 to obtain the probability. The specific probability will vary depending on the calculations involved, but it is expected to be relatively low due to the specific conditions required for both the digit sum and divisibility by 11.
To know more about probability refer here:
https://brainly.com/question/31828911
#SPJ11