Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex]
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it [tex]x\in {R-3}[/tex]
Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]
[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.
Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]
Hence, Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex] is for option D.
Answer:
OPTION D IS NOT CORRECT.
i took the test & selected D and it was wrong.
THE CORRECT ANSWER IS C.
Step-by-step explanation:
Consider the system of equations given in slope-intercept form. y = −13x + 17, y = 5x - 23 The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?
Answer:
The exact solution for this equation would be (2.222, -11.889)
Step-by-step explanation:
Since it told us to use a graphing calculator, I went on to desmos graphing calculator, typed in the equation, then I found out where the two line intersect, and then that was the answer.
Answer:
Consider the system of equations given in slope-intercept form.
y = −1
3
x + 17,
y = 5x - 23
The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?
(7.5, 14.5)
Step-by-step explanation:
edge 2020
BRAINLY: Ken is working this summer as part of a crew on a
farm. He earned $8 per hour for the first 10 hours he
worked this week. Because of his performance, his
crew leader raised his salary to $10 per hour for the
rest of the week. Ken saves 90% of his earnings from
each week. What is the least number of hours he
must work the rest of the week to save at least $270 for the week? Please show how you got your answer
Answer:
22 hours
Step-by-step explanation:
Ken saves 90% of his earnings.
So, he must earn
270/x =90/100
90x=270*100
90x=27,000
x=27000/90
=300
x=$300 to save $270
For starting 10hours, Ken earns $8 per hour so he earns total
$8*10 hours=$80
Now, Ken has to earn remaining
$220 at a rate of $10/hour, he must work for at least
$220/$10
=22hours
PLSSS HELP! Can someone pls tell me how to do this. y=1/3(x+2)^2, y=x+3
Answer:
There you go.
Step-by-step explanation:
Please do tell me if it's wrong.
1. Without graphing, identify the quadrant in which the point (x, y) lies if x > 0 and y<0.
A.IV
B.III
C.I
D.II
Answer:
A
Step-by-step explanation:
The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.
Please help i will mark brainliest for correct answers!
Answer:
9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.
10) 2/3 (or 2:3, or 66.6%, or 0.66)
Step-by-step explanation:
9) Here are the possibilities of the cards you could pick
KQ, KJ, K10, QJ, Q10, J10
Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.
10) It doesn’t matter which card you pick first. The second card has a 1 in 3 chance of being the same card (whatever it is). That means you have a 2 in 3 chance of it NOT being the same card. So the probability is 2/3.
plsss help me withhh mathhh
Answer:
c is right
Step-by-step explanation:
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
1.(−2, −8)
2.(−8, −2)
3.(6, −10)
4.(−10, 6)
Answer:
(-8, -2)
Step-by-step explanation:
Combine these equations: You'll get 2y = -4, so that y = -2.
Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8
Thus the solution is (-8, -2)
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of 5/4. Her scale drawing is a 2 and 1/2 by 5-inch rectangle. The print shop says that the scale drawing is a reduction of the original card because the original card must be 3 and 1/8 inches by 6 and 1/4 inches. Which explains the print shop's error and gives the correct dimensions of Beth's original card?
a.The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 2 inches by 4 inches.
b.The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 3 and 3/4 inches by 6 and 1/4 inches.
c.The scale factor is a fraction so the scale drawing is a reduction, and the original card is 2 inches by 4 inches.
d.The scale factor is a fraction so the scale drawing is a reduction, and the original card is 3 and 3/4 inches by 6 and 1/4 inches.
Answer:
IT IS A..
Step-by-step explanation:
100 % sure
gooooooooooooooooooooooooooooooooooooooooooooooooooooooood moring got another question
Answer:
[tex]x[/tex] = 12
Step-by-step explanation:
This question is asking what [tex]x[/tex] equals and in order to find the answer, we need to subtract 25 - 13 which equals 12.
OKK 90 POINTS!!!! HURRY PLZZZ!!! 1. A tree casts a shadow that is 35.6 feet long. At that time, the angle of elevation of the sun is 45°. (It’s called angle of elevation because we have to raise, or elevate, our eyes to see the sun). Let’s find the height of the tree. Label the height of the tree as x on your diagram. (Part A) Explain why tan 45o (the ratio of opposite to adjacent) could help us find the height. (Part B) Use the given diagram to complete the trigonometric equation below: (Part C) Use your calculator to find the value of tan 45°. In your equation, replace tan 45° with this number, and solve your equation to find the tree’s height.
Answer:
A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)
B) tan(45°) = x/35.6
C) x = 35.6 ft
Step-by-step explanation:
B) From definition:
tan(45°) = opposite/adjacent
opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:
tan(45°) = x/35.6
C) tan(45°) = 1
Then:
1 = x/35.6
35.6 ft = x
#1
tanØ=Perpendicular/HypotenuseAs here base is given
We need the height or perpendicular
so tangent is the easiest way to be used
#2(No problem given,may refering to part C)
#3
tanØ=sinØ/cosØtan45=sin45/cos45as sin45=cos45
tan45=sin45/sin45tan45=1Put value
tan45=h/35.6h=35.6tan45h=35.6ftSelect all the correct answers.
Based on the side lengths given (a, b, and c), which triangles are right triangles?
a = 4,b= 6,c=8
a = 6,b=8,c=10
a =5,b= 6,c = 761
a = 6,b= 9,c = 12
Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
Answer: a= 5,b = 6,c = 8 and a=6,b = 8,c = 10
Step-by-step explanation: I found the correct answer on my test so hopefully this help you! :)
(4x - 5y + 3z) + (-4x +5y +3z)
Answer:6z
Step-by-step explanation:
Question:
(4x - 5y + 3z) + (-4x +5y +3z)
First Step:
Remove parenthesis
4x - 5y + 3z + -4x +5y +3z
Second Step:
Add like terms
4x + -4x = 0
-5y + 5y = 0
3z + 3z = 6z
Final Answer
6z
<!> Brainliest is much Appreciated! <!>
Answer:
6z
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Combine like terms
4x - 4x -5y +5y +3z+3z
0+0+6z
6z
Which of the following are roots of the polynomial function? Check all that apply f(x) = x^3 + 3x^2 - 9x + 5
Answer:
x = 1 or x = -5
Step-by-step explanation:
Solve for x:
x^3 + 3 x^2 - 9 x + 5 = 0
The left hand side factors into a product with two terms:
(x - 1)^2 (x + 5) = 0
Split into two equations:
(x - 1)^2 = 0 or x + 5 = 0
Take the square root of both sides:
x - 1 = 0 or x + 5 = 0
Add 1 to both sides:
x = 1 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = 1 or x = -5
What is the slope of line a?
Answer:
-1/3
Step-by-step explanation:
Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.
Alternatively you could use Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
50 people took a driving test. 18 of the 50 people are women. One quarter of the men failed the driving test. The number of men who passed the driving test was 8 more than the number of women who passed the test. A person is chosen at random. What is the probability that they passed the driving test? Write your answer as a decimal.
Answer:
Step-by-step explanation:
No. of people who took the test = 50
No. of women who took the test = 18
Therefore, no. of men who took the test = 50 - 18 = 32
No. of men who did not pass the test = 1/4 × 32 = 8
No. of men who passed = 32 - 8 =24
The no. of men who passed is 8 more than the no. of women who passed Therefore, the no. of women who passed = 24 - 8 = 16
No. of women who failed = 18 - 16 = 2
Total no. of people who passed = 24 + 16 = 40
Total no. of people that didnt pass = 2 + 8 = 10
Therefore probability that they passed = 50/40 = 1.25
Hope this help : ) . Have a nice day !
Answer: The probability is 0.8
Step-by-step explanation:
Total who took the test = 50
Women who took the test = 18
50 - 18 = 32 is the number of men
32/4 = 8 men who did not pass
Men who passed = 32 - 8 =24
To find the number of women who passed : 24 - 8 = 16
Total of people who passed = 24 + 16 = 40
Number who passed out of total people = 40/50 Converted ro decimal: 0.8
So the probability of randomly selecting a person who passed is 0.8
A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. What is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3.14 for Pi.
Answer:
15 cm.
Step-by-step explanation:
It is given that,
Central angle [tex]=\dfrac{7\pi}{10}[/tex]
Arc length = 33 cm
Formula for arc length :
[tex]s=r\theta[/tex]
where, s is arc length, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute s=33 and [tex]\theta=\dfrac{7\pi}{10}[/tex] in the above formula.
[tex]33=r\left(\dfrac{7\pi}{10}\right)[/tex]
Multiply both sides by 10.
[tex]330=7\pi r[/tex]
Divide both sides by [tex]7\pi[/tex].
[tex]\dfrac{330}{7\pi}= r[/tex]
Put [tex]\pi=3.14[/tex]
[tex]\dfrac{330}{7(3.14)}= r[/tex]
[tex]15.0136= r[/tex]
[tex]r\approx 15[/tex]
Therefore, the radius of the circle is 15 cm.
Answer:
15
Step-by-step explanation:
....................................................................
Answer:
C.
Step-by-step explanation:
The answer to this question is C. I learned this in 6th grade math and when i did i knew how to solve these by seeing the problem closely and using a calculator...for some of these questions you will have to divide or multiply by percentage.
hope this helped look at the comments below i gave u something..
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
Answer:
(10, 14)
Step-by-step explanation:
To solve this system let's use substitution:
Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:
3(24 - y) + 5y = 100
Performing the indicated multiplication, we get:
72 - 3y + 5y = 100
Combining like terms results in 72 - 100 = -2y, or -28 = -2y
Thus, y must be 14.
If y = 14, then the first equation tells us that x = 10.
Check: Is this true? 3(10) + 5(14) = 100 YES
The solution is (10, 14).
What was it about the questions on the best that you were supposed to compare to this solution?
Answer:
B. The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Assuming that this is the one on edge, it should be this answer!
The area of trapezoid RSTU is 68 square inches, and the area of similar trapezoid JKLM is 425 square inches. What is the scale factor of RSTU to JKLM?
Answer:
6.25
Step-by-step explanation:
The scale factor is equal to how many times larger or smaller the new trapezoid is from the original trapezoid. To solve for the scale factor, divide the new area of JKLM by the original area of RSTU to calculate how many times larger RSTU got to become JKLM.
425 ÷ 68 = 6.25
Answer:
It is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
I got it right on my quiz!
A)f(x)=(x-1)(x+2)(x+4)
B)f(x)=(x-8)(x-4)(x-2)(x+1)
C)f(x)=(x-1)(x+2)(x+4)(x+8)
D)f(x)=(x-4)(x-2)(x+1)
Answer:
B) f(x) =(x-8)(x-4)(x-2)(x+1)
How many people are in the set C N D?
4
6
36
38
Answer:
A. 4 people
Step-by-step explanation:
Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.
Answer: 4
Step-by-step explanation:
edge
For three consecutive numbers, the sum of the first number, twice the second, and 7
less than the third is 133. What are the three numbers?
Answer:
a = 34
b = 34
c = 36
Step-by-step explanation:
a ; b ; c = consecutive numbers =>
b = a + 1
c = a + 2
a + 2b + c - 7 = 133
a + 2(a + 1) + (a + 2) - 7 = 133
a + 2a + 2 + a + 2 - 7 = 133
4a = 133 + 7 - 4
4a = 136
a = 34
b = 34
c = 36
Someone explain this to me
Answer: a) y = f(x - 6)
b) y = f(x) - 2
Step-by-step explanation:
For transformations we use the following formula: y = a f(x - h) + k
a = vertical stretchh = horizontal shift (positive = right, negative = left)k = vertical stretch (positive = up, negative = down)a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2
1. Two trucks, truck A and truck B, are driving across the country taking the same route.
After 1 day, truck A was 117 miles behind truck B. The next day, truck A drove 185 miles
more miles than truck B. The third day, truck B drove 48 miles more miles than truck A.
Where is truck A in relation to truck B after the third day?
A. 20 miles ahead of truck B
B. 116 miles ahead of truck B
C. 254 miles behind truck B
D. 350 miles behind truck B
C--254 miles behind truck B
PLEASE ANSWER ASAP I WILL MARK BRAINLY
Answer:
multiplication property of equality
Step-by-step explanation:
Since we are multiplying by the same amount on each side, we are using the multiplication property of equality
Answer: Multiplication Property of Equality
Step-by-step explanation:
This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true. This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.
Hope it helps <3
I WILL GIVE BRAINLIEST TO BEST EXPLANATION!! How many 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6?
Answer:
There are 360 such numbers.
Step-by-step explanation:
The number of 6-digit numbers, formed using each digit from 1 to 6 excactly once, means we can have numbers like
123456, 123465, 123546,123564,.... 654321
The number of such numbers is given by 6! because we have a choice of 6 numbers for the first digit, 5 left for the next, ... until the last digit has only one choice.
6! = 6*5*4*3*2*1 = 720
We know that 1+2+3+4+5+6 = 21 is divisible by three, so all 720 numbers are divisible by 3.
However, to be divisible by six, we need a number divisible by three AND divisible by two.
Thus, out of the 720 numbers, we need count only the even numbers, which are exact half of the 720, or 360.
Therefore there are 360 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6.
Answer:
360 numbers
Step-by-step explanation:
6-digit numbers => the numbers have the form abcdef
f 3 values, f = {2; 4; 6}
a 5 values; b 4 values, c 3 values, d 2 values, e one value,
=> 5 * 4 * 3 * 2 * 1 * 3 = 360 numbers
Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.
Answer:
y = 3x - 5
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope
m = (-2 - 1)/(1 - 2)
m = 3
Step 2: Find b
y = 3x + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 3: Rewrite linear equation
y = 3x - 5
Step 4: Graph using graphing calc
Please answer this question now
Answer:
The midpoint is (8,9.5)
Step-by-step explanation:
The midpoint is found by averaging the x coordinates and the y coordinates
x = (x1+x2)/2 y = (y1+y2)/2
x = (13+3)/2 = 16/2 = 8
y = (5+14)/2 = 19/2 = 9.5
The midpoint is (8,9.5)
solve this systems of linear equations.separate the x- and y-values with a comma 2x+3y=-6 6x-4y=-44
Answer:
for the first one ‘x‘: x = -3/2 y -3
for the first one ‘y’: y = -2/3x-2
for the second one ‘x’: x= 2/3 y + -22/3
for the second one ’y’: y = 3/2 x + 11
Step-by-step explanation:
which inequality is graphed on the coordinate plane?
Answer:
B.
Step-by-step explanation:
The line is a dotted line, so the inequality is obviously going to be using either a > sign or a < sign.
The inequality is shaded above the dotted line, so we will use a > sign. That corresponds to Choice B.
Hope this helps!
The equation of the graph of inequality is y > 4x + 2.
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
Graph show the inequality
As graph is having a doted line
as we know
The boundary line is dashed for > and < in graph of an inequality
i.e
inequality will have either > or <
Now ,
As we know according to the graph of an inequality
If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
As area is shaded above the line
i.e it will have
>sign in inequality
As per options
only option B is valid which have > sign in inequality .
Therefore,
the equation of the graph of inequality is y > 4x + 2.
Hence, the equation of the graph of inequality is y > 4x + 2.
To know more about graph of inequality here:
https://brainly.com/question/21857626
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