Answers
Answer:
B. -2, 2
Step-by-step explanation:
Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...
f(x) = 1/2x +1
If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.
1/2x +1 = √(x +2)
Squaring both sides, we get ...
1/4x² +x + 1 = x +2
1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides
x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4
(x -2)(x +2) = 0 . . . . factor the difference of squares
x = -2, 2 . . . . . . . . . values of x that make the factors zero
The solutions to f(x) = g(x) are x = -2 and x = 2.
_____
Additional comment
The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.
The square of (ax +b) is ...
(ax +b)² = a²x² +2abx +b²
The point-slope equation of a line is ...
y = mx + b . . . . . line with slope m and y-intercept b
Related Questions
i was wondering if u convert 38 inches to centimeters what would it be i told my teacher there is no correct answer for it
Answers
Answer:
96.52 cm
Step-by-step explanation:
Your teacher is incorrect, probably telling you this to avoid you wasting time
Answer:
96.52 cm
Step-by-step explanation:
1 inch is 2.54 cm
so 38 inch will be 2.54*38
96.52 cm
Find the solution
Y = -3x - 5
Answers
-5/3
Explanation:
i need help with this!!!!
Answers
Answer: 2. 5.
Step-by-step explanation:
please help brainliest if correct and best explanation
Answers
Answer: 120
Step-by-step explanation:
first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis
if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning
Answers
Step-by-step explanation:
I think that's clear enough
Can u help me with these plss
Answers
Answer: 40BC and 766AD
Step-by-step explanation:
y = 5x + 1
Table down below
Help!
Answers
Answer:
Answers below
Step-by-step explanation:
-32 -> -7.4
0 -> 1
20 -> 5
Fawzia has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $19 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 15 hours at the grocery store and 6 hours at the nursery? How many total hours does she work if she does g hours at the grocery store and n hours at the nursery?
Answers
Answer:
In total she works 21 hours and for the equation its gn=g+n
Step-by-step explanation:
got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works
If a=-4xa=−4x and b=5ib=5i, then find the value of ab^2ab 2 in fully simplified form.
Answers
The value of ab^2 in simplified form is -1
Given the following expressions:
a = 4xb = 5iWe are to evaluate the expression [tex]ab^2[/tex]
Substitute the given parameters into the formula to have:
[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]
Hence the value of ab^2 in simplified form is -100x
Learn more on exponential functions here: https://brainly.com/question/12940982
help, please!! please have a small explanation
Answers
Answer:
18
Step-by-step explanation:
63/7 = 9
Reduction factor is 9
2x9 = 18
x = 18
Hope that helps
Answer:
x = 18
Step-by-step explanation:
63 divided by 7 equals 9, so 7 is 9 times smaller, meaning 2 must be too
2 times 9 is 18
x=18
Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables
Answers
Answer:
x=-23
Step-by-step explanation:
Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.
Therefore, x must be equal to -23.
A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price
Answers
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
—————————————————————
8% = 96.72
$1,341.99 - $96.72 = $1245.27
————————————————
Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices
a 3[sin (130 + 15)] t
b 3[sin (45 + 45)] t
c 3[sin (180 - 45)] t
d 3[sin (90 + 60)] t
Answers
The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Since the alternating current i in amperes after t seconds is i = 3(sin150)t.
We want to write 150 as the sum of two angles measures.
So, 150 = 90 + 60.
So, the current i = 3(sin150)t
i = 3[sin(90 + 60)]t
So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Learn more about sum of two angles here:
https://brainly.com/question/16560125
PLEASE HELP THIS IS A FINAL AND IM SO CONFUSED!!!!
Answers
Answer:
C
Step-by-step explanation:
yeah-ya............... right?
How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(x)=(x+1)^2−3 is [−1,∞), the inverse of the function is Response area, and the domain of the inverse function is
Answers
Using inverse function concepts, it is found that:
The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].A function will have an inverse if for each output, there is only one respective input.The domain of the inverse is the range of the original function.The function given is:
[tex]f(x) = (x + 1)^2 - 3[/tex]
It's range is [tex][-3, \infty][/tex], which will be the domain of the inverse.To find the inverse, we exchange x and y, and isolate y, then:
[tex]y = (x + 1)^2 - 3[/tex]
[tex]x = (y + 1)^2 - 3[/tex]
[tex](y + 1)^2 = x + 3[/tex]
[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]
[tex]y + 1 = \sqrt{x + 3}[/tex]
[tex]y = \sqrt{x + 3} - 1[/tex]
The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].
A similar problem is given at https://brainly.com/question/13160937
Answer:
Step-by-step explanation:
On the most recent math test, Ashley
answered 23 of the questions
correctly. If she scored 92%, how
many questions were on the test?
Answers
Answer:
25 questions total
Step-by-step explanation:
I hope this helps!
1 – 2x + 3y for when X = – 2 and y = – 5
Answers
Answer:
-12
Step-by-step explanation:
1-2x+3y
1-2(-2)+ 3(-5)
1-4-9
= -12
(50 x 40 / 4 + 20) + (50 / 2 + 25) =
Answers
Answer:
= 570
Step-by-step explanation:
Priority in order:
BracketX and /+ and -(50 x 40 / 4 + 20) + (50 / 2 + 25)
= (2000 / 4 + 20) + ( 25 + 25)
= ( 500 + 20) + ( 50 )
= ( 520 ) + 50
= 520 + 50
= 570
find the slope of the line that contains each pair of points -9,-5 and 6,-5
Answers
12x(8x-20)÷4(2x-5) please solve it
Answers
Answer: 48[tex]x^{3}[/tex]-240[tex]x^{2}[/tex]+300x
hopes this helps
Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)
Answers
Answer:
(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
Step-by-step explanation:
To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)
You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
What is 7.15-0.274???
Answers
Answer: the answer is 6.876
Step-by-step explanation:
7.15-0.274=6.876
7.500-0.274=6.876
I hope this helps.
BRAINEST PLEASE
what’s the distance between 4 and 20
Answers
Answer:
16
Step-by-step explanation:
The distance is 16 because when 4 and 20 are on a number line the distance can be measured by subtracting. So 20 minus 4 = 16. :)
Rewrite this equation below into Slope-intercept form
y-10=2/3(x-3)
Answers
Answer:
y= 2/3x+8
Step-by-step explanation:
you add 10 to both sides then combine -2 with 10 to get 8
then 1x times 2/3 is 2/3x and -3 times 2/3 is -2
PLEASE HELP ME!!! GIVING BRAINLIEST
Answers
I believe the answer is A, 39°, 57 minutes 23.76 seconds.
Thank you and I hope this helped.
Answer:
The correct answer is A
Step-by-step explanation:
hope it will help you
In the equation, 6x - 2y = 11, what is the slope?
Answers
find the measure of each variable
Answers
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
#1
Data se about speed dating include like ratings of male dates made by the female dates the summary statistics are n - 197
Please help will mark as brainliest
Will report if any links
Answers
Answer:
= 188, x = 7.89, s = 2.23
Step-by-step explanation:
= 188, x = 7.89, s = 2.23
Which expression is equivalent to 7 − 9 ?
Answers
Answer:
Try subtracting 9 from 7 to find the value.
Step-by-step explanation:
guyssss please help me with this maths problem it's from coordinates I hope you will help me I literally need this one pls will give 8 points
Answers
Answer:
find the perpendicular of the angle of pole