Answer:
midpoint P(6, 4)
Step-by-step explanation:
[tex] \frac{x1 + x2}{2} \\ \frac{y1 + y2}{2} [/tex]
[tex] \frac{9 + 3}{2} = 6 = x \: mid \: point \\ [/tex]
[tex] \frac{6 + 2}{2} = 4 = y \: mid \: point[/tex]
Find range of the real function
[tex]f = \left \{ \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R \right \}[/tex]
from R into R.
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given function is
[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]
To find the range of the function f, Let assume that
[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]
[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]
[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]
[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]
[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]
For x to be defined,
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]
[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]
Hence,
[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]
Which of the following is the correct factorization of the polynomial below?
x - 18
A. (x+3)(x-6)
B. (x-3)(x + 6)
C. (x+3)(x2 - 4x+6)
D. The polynomial is irreducible.
SUBMIT
Answer:
D. The polynomial is irreducible
Step-by-step explanation:
D. The polynomial is irreducible is the correct answer because x and -18 don't share anymore common factors for it to factorized/simplified, so x - 18 is as far as it can get.
After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is
Oslo
2
$x + 2
$x-2
$2x
Answer:
$2x
Step-by-step explanation:
His salary doubled (x2), so you can eliminate B & C because they are + & -. You can eliminate A because that would represent his current salary. So, that leaves $2x.
There were 25 vocabulary words on the quiz. Megan got 60% correct. How many did she get correct?
Answer:
15
Step-by-step explanation:
25=100º
x=60
[tex]\frac{25}{x}=\frac{100}{60}[/tex]
[tex]\frac{x}{25}=\frac{60}{100}[/tex]
x=15
If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?
Answer:
Step-by-step explanation:
∠8 = ∠6
∠8 = 7x - 36
∠8 +∠9 = 180 {Linear pair}
7x - 36 + 5x + 12 = 180
7x + 5x - 36 + 12 = 180
12x - 24 = 180
12x = 180 + 24
12x = 204
x = 204/12
x = 17
∠6 = 7x - 36 = 7*17 - 36 = 119 - 36 = 83
∠11 = ∠6 {Vertically opposite angles}
∠11 = 83
Which one of the following would prove that two triangles are congruenta
Answer:
Corroponding side lengths are equal
Step-by-step explanation:
Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.
Hope this helps :)
find the slope of the line through the given points (1,1) (4,-1)
Answer:
hope it helps
.............
Graph y= -3x+4
NO FILES NOR LINKS!!!
Answer:
youre gonna put 4 on x axis and -3 on y
Step-by-step explanation:
the sum of two numbers is 21 the second number is six times the first one
Answer:
18+3
Step-by-step explanation:
3x6= 18
and 18+3=21
Activity:theresa's mother ask her to buy dressed chicken if a kilo of dressed chick cost
Step-by-step explanation:
450/180= 2.5 kilos
it is a one to one relationship
f(x)=x/180
where x is the amount given to her
i need someone help please
Answer:
Step-by-step explanation:
a) vertex = (3, 18).
b) This tells us that the doorway is 8 units high.
c) Y intercept is at (0, 0).
d) x intercepts are (0, 0) and (6, 0).
e) The base is horizontal.
Can someone help me, please?
Answer:
112
Step-by-step explanation:
order the set of numbers from least to greatest. 7.59 7.5% 7 49/50
Answer:
The correct answer is 7.5%, 7.59, 7 49/50
Step-by-step explanation:
Hope This Helps!
Answer:
7 49/50, 7.59, 7.5%
Step-by-step explanation:
7 49/50=7.98 if you solve the fraction
7.5%=0.075 if you move the decimal two places
Hope this helps :)
If x is an odd number, which of the following is also odd? * X + 1, X + 2, 2x + 2 or 3x + 1
Answer:
x+2
Step-by-step explanation:
i put mi x as one so
....that how i get my anwser
PLEASE HELP what is the term what is A in the sequence and what is the common ratio
for 3 9 27 54
Find the x-intercept of the following equation. Simplify your answer
x − 7y = –10
x-intercept =
The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.
since x − 7(0) = –10
⇒ x − 0 = –10
x = -10
This makes the x-intercept of x − 7y = –10 (-10, 0).Please help this is algebra one
Answer:
B
Step-by-step explanation:
When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B
help pls
what is the slope intercept of (3,5) and (2,1)
The linear system is graphed. Is it an independent or dependent system?
-2x+3y=5
-4x+6y=10
GRAPH IN PICTURE:
A. neither
B. Dependent
C. Independent
Can someone pls help me
Answer:
6
Step-by-step explanation:
[tex] {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6
Use Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=(3√13)^2-9^2[/tex]
[tex]\\ \sf\longmapsto P^2=117-81[/tex]
[tex]\\ \sf\longmapsto P^2=36[/tex]
[tex]\\ \sf\longmapsto P=6[/tex]
Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²
Answer:
1. a^4.
2. 9c³.
3. 8z^6.
4. 4b²a.
5. 20q(if the 2 isn't an exponent)
if it is,
20q².
6.x²y².
7. j²k²i.
All the best.
Answer:
Step-by-step explanation:
[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]
2x( 3x + 5 ) - 3 ( 2x^{2} - 2x + 3)
Answer:
16x - 9
Step-by-step explanation:
2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis
= 6x² + 10x - 6x² + 6x - 9 ← collect like terms
= 16x - 9
Answer:
16X-9
Step-by-step explanation:
(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)
6x²+10x+6x²+6x +-9
combine like terms
6x² +10x +-6x² +6x+-9
(6x² +6x² )+(10x+6x)+(-9)
16x+-9
16x-9
Help me on this please it’s due please help me
Answer:
[tex] < [/tex]
Step-by-step explanation:
[tex] < [/tex]
Need help ASAP please <3
the table given below shows the number of miles that teddy had been runninf over some of the past ten weeks
The number of miles that he runs per week can be represented as a linear function. What would be
the rate of change of this function in miles per week?
A) 1
B) 3
C) 6
D) 10
The rate of change of this function in miles per week is 3 miles per week.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a table as shown in the question.
The rate of change in miles per week is -
(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)
6/2 = 3/1
3 = 3
3
Therefore, the rate of change of this function in miles per week is 3 miles per week.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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Change 32/6 to a mixed number in lowest terms .
Answer:
5 1/3
Step-by-step explanation:
you and your friend went shopping. you bought 3 shirts and 4 sweaters for $69. your friend bought 6 shirts and 2 sweaters for $66 how much does one shirt and one sweater coat each
I need this answered quickly
Answer:
Shirt = $7
Sweatshirt = $12
Step-by-step explanation:
Let T represent shirts and S to represent sweatshirts
you bought 3T + 4S = 69
your friend bought 6T + 2S = 66 multiply second equation by -2
-2 x 6T + 2S = 66
-12T - 4S = -132 now find the sum of this and first equation
3T + 4S -12T - 4S = 69 - 132 add like terms
-9T = -63 divide both sides by -9
T = 7 this is the cost of one shirt to find the cost of a sweatshirt we replace the T in any equation with 7
3T + 4S = 69
3*7 + 4S = 69
21 + 4S = 69 subtract 21 from both sides
4S = 48 divide both sides by 4
S = 12
Consider the system of equations.
5x + 2y = 12
5x – 2y = 28
What is the solution to the system of equations? Show work using substitution or elimination to support your answer.
A (4, -4)
B (-4, 4)
C (5, -6.5)
D (4, 16)
Answer:
A. (4, -4)
Step-by-step explanation:
Equation form x = 4, y = −4
Answer:
Option A
Step-by-step explanation:
5x + 2 y = 12 -----------(I)
5x - 2y = 28 ------------(II)
Add equation (I) & (II). So, y will be eliminated and we will get the value of x
(I) 5x + 2y = 12
(II) 5x -2y = 28 {Now add}
10x = 40
x = 40/10
x = 4
Plugin x = 4 in equation (I)
5*4 + 2y = 12
20 + 2y = 12
2y = 12 - 20
2y = -8
y = -8/2
y = -4
Quadrilaterals A and B are similar. Find the values of the sides marked x and y : The diagram is not drawn to scale.
Answer:
Y=7.5cm
Step-by-step explanation:
Y=12.5cm-10cm=2.5cm
=5cm+2.5cm=7.5cm
Simplify the expression (2x^2+6x-7)-(9x^2-11)
2x^2 + 6x - 7 - 9x^2 + 11
(2x^2 - 9x^2) + (6x) + (-7 + 11)
-7x^2 + 6x + 4
Hope this helps!! :)
Answer:
=- 7x^2+6x+4
Step-by-step explanation:
5/4 divided by 10 plzzzzzzz
Answer:
0.125
Step-by-step explanation:
Hope it helps
Answer:
(5/4) / 10
= (5×10)/4
= 50 / 4
= 25/ 2
= 12.5
Step-by-step explanation:
brainliest plz