Given:
The function is:
[tex]f(x)=x[/tex]
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left.
To find:
The equation of the transformed function.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If k<0, then the graph is reflected across the x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left. So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get
[tex]g(x)=(-1)f(x+7)+11[/tex]
[tex]g(x)=-(x+7)+11[/tex] [tex][\because f(x)=x][/tex]
[tex]g(x)=-x-7+11[/tex]
[tex]g(x)=-x+4[/tex]
Therefore, the required function is [tex]g(x)=-x+4[/tex].
Which graph represents the function f(x) = |x| - 4?
Answer:
Neither of the graphs represent f(x)= |x|-4
Step-by-step explanation:
when solving for 0
|0| = 0
0 - 4
= -4
the coordinate at 0 would be (0,-4)
AHHHH HELP PLEASE, IT’S URGENT!!!!! I DON’T HAVE MUCH TIME :((( 7th Grade!!!!
Answer:
A, P, M, S, W, Q
Step-by-step explanation:
8 Emma noticed that the new admission fee for a zoo is 65% more than last year's fee. Iff
represents last year's fee, which of the following expressions represent the new admission
fee? Select all that apply.
Answer:
A and C
Step-by-step explanation:
Only A and C represent a 65% increase
In 2001 the club's total income was£1000 the club spent 60%of its total incoming on a hall. It spent farther £250 on price work out this ratio the amount spent on the hall the amount spent the prise
Answer:
We need to know the question??
Step-by-step explanation:
A teacher buys a bag of chips and a candy bar for each of the 25 students in her class. Each bag of chips cost $0.40. The teacher spends as total of $65 for chips and candy bars
Answer: 2.20 per candy bar
Step-by-step explanation:
1. 0.40(25) + x(25) = 65
2. 10 + 25x = 65
3. 25x = 55
4. x = 2.20
Please help thanks! Brainliest
The value of [tex] \:\frac{ - 9 + ( - 11)}{4} + 8\:[/tex] is [tex]3[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{ - 9 + ( - 11)}{4} + 8 \\ \\ = \frac{ - 9 - 11}{4} + 8 \\ \\ = \frac{ - 20}{4} + 8 \\ \\ = - 5 + 8 \\ \\ = 3[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Ricky has nine quarters, thirteen dimes, six nickels, and seven pennies. How much money does he have? WHOEVER ANSWERS THIS FIRST GETS BRAINLIEST
Step-by-step explanation:
3.92 - uwuehehrvgrsiehhehehhe
Answer:
He has $3.92.
Hope this helps!
can someone help me w this 2 question , i need step by working tysm. i will give brainliest !!
Hey buddy I am here to help!
5. y = ax + b
-5 = a*4 + b
-5 = 4a + b
If we take a as -2
-5 = 4*-2 + b
-5 = -8 + b
b = -5 - (-8)
b = -5 + 8
b = 3
so... a = -2 and b = 3
6. (i) y = 5x - 2
(1,7)
y = 7 & x = 1
7 = 5*1 -2
7 = 5 - 2
7 = 3
so this point (1,7) is wrong
(ii) y = 5x -2
we can take any value for x...
e.g. x = 2
y = 5*2 - 2
y = 10 -2
y = 8
SO answer in this case would be (2,8)
Plz mark my answer brainliest
CAN SOMEONE HALP ME WITH THIS PLEASE AND THANK YOU.
Answer:
8 2/3
Step-by-step explanation:
Which equation has w=8 as the solution?
a) Sw=64
b) 16w = 240
c) 16 - W=9
I d) 4+ w= 10
I used process of elimination to solve this: its is A.
I was confused about the 's' in Sw=64 so i decided it had to be either 5 or 8. its 8
8*8=64
Yana though of a number she multlipied it by 8 subtracted 4 divided the result by 2 what number did yana think of
Complete Question
Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
From the question we are told that:
Thought of Number x
Multiplied it by 8
[tex]x*8=8x[/tex]
Subtracted 4
[tex]8x-4[/tex]
Divided the result by 2
[tex]\frac{8x-4}{2}[/tex]
Generally the equation for x is mathematically given by
[tex]\frac{8x-4}{2}=30[/tex]
[tex]8x-4=60[/tex]
[tex]8x=60+4[/tex]
[tex]x=8[/tex]
What is the slope of the line?
(0,2) (4, -1)
On a coordinate plane, the x-axis is labeled side length and the y-axis is labeled Perimeter of the square. A line goes through points (0, 0), (1, 4), and (2, 8). Use the graph to complete the ordered pairs to show the relationship between two quantities: the length of a square’s sides and the square’s perimeter. (3, ) (4, ) The relationship between the length of a square’s side and its perimeter is .
Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.
Answer:
Step-by-step explanation:
let the numbers be n,n+2,n+4
2n+3(n+2)=2(n+4)+55
2n+3n+6=2n+8+55
2n+3n-2n=63-6
3n=57
n=57/3=19
so numbers are 19,21,23
Answer:
-19.333…
-18.333…
-17.333…
Step-by-step explanation:
First is x
Second is x+1
Third is x+2
2x+3(x+1)=2(x+2)-55
2x+3x+3=2x+4-55
5x+3=2x-51
5x-2x=-51-3
3x=-58
3x/3=-58/3
x=-19.333…
x+1=-19.333+1
=-18.333...
x+2=-19.333+2
=-17.333...
investors buy a studio apartment for $240,000 . Of this amount, they have a down payment of 60,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $108,000 down payment be?
Answer:
25%
bc its 1/4 = 0.25 of the purchase price.
the other percentage is 45
108/240 = 54/120 = 18/40 = 4.5/10 = 45/100
Need help
Pls explain
Given:
The graph of a line.
To find:
The equation of the line.
Solution:
From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{8-(-2)}{-6-0}(x-0)[/tex]
[tex]y+2=\dfrac{10}{-6}x[/tex]
[tex]y+2=-\dfrac{5}{3}x[/tex]
Subtract 2 from both sides.
[tex]y=-\dfrac{5}{3}x-2[/tex]
Therefore, the equation of the line is [tex]y=-\dfrac{5}{3}x-2[/tex].
Which
expression is equivalent to
X^-5/3
Answer:
-(5-3) is the answer bcoz - make 5 negative and 3 positive
Step-by-step explanation:
I hope this will help you
Determine whether the triangles are congruent. Explain your reasoning .
Answer:
The triangles are congruent
Step-by-step explanation:
The Triangles are congruent because they have the same side lengths and and angle measures.
No files just type it in please I been stuck in this answer
Answer:
24
Step-by-step explanation:
ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.
therefore 4x6= 24
25=46-3
please help me
Answer:
[tex]25 = 43[/tex]
Step-by-step explanation:
[tex]25 = 46 - 3[/tex]
[tex]25 = 43[/tex]
Hope it is helpful...The two lines below intersect as shown what the value of x (2x+29) (9x-13)
Given:
Two lines intersect each other.
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.
In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.
[tex]2x+29=9x-13[/tex]
[tex]2x-9x=-29-13[/tex]
[tex]-7x=-42[/tex]
Divide both sides by -7.
[tex]x=\dfrac{-42}{-7}[/tex]
[tex]x=6[/tex]
Therefore, the value of x is 6.
The population of a U.S. City was at 130,000 in 2014. It grew at a rate of 2.6% per year. What is the population today?
Answer:
155,588
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = growth rate
N = number of years 2021 - 2014 = 7
130,000(1.026)^7 = 155,587.6
rounding off to the nearest whole number is 155,588
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
can anybody help me with this one ?
Answer:
D answer
Step-by-step explanation:
x=- 1/ 2 answer is d.
1. What is the center and radius of the given circle (x – 3)² + (y + 8)² = 39?
Answer:
Center (3, -8), radius = [tex]\sqrt{39}[/tex]
Step-by-step explanation:
The Standard Form for the equation of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The center is the point (h, k) and the radius is r.
Match up the given equation with the standard form.
[tex](x-h)^2=(x-3)^2 \rightarrow h=3\\(y-k)^2=(y+8)^2 \rightarrow k=-8[/tex]
That last bit can be tricky, k = -8, not 8. Watch the signs!
help ...........................................
thanks,,,,
Answer:
(1,0) (0,-3)
Step-by-step explanation:
x then y a baby crawls before it walks.
Which of the following is(are) the solution(s) to 16x-51- 7?
O A. X=
3
O B. x= -2
O C. X= 2-
OD. x = 2
Answer:
C
Step-by-step explanation:
Given
| 6x - 5 | = 7
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
6x - 5 = 7 ( add 5 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
OR
- (6x - 5) = 7 ← distribute parenthesis on left side by - 1
- 6x + 5 = 7 ( subtract 5 from both sides )
- 6x = 2 ( divide both sides by - 6 )
x = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
Then solutions are x = 2, x = - [tex]\frac{1}{3}[/tex] → C
Bab need someone who can do quick mafs please!
Answer:
18.9 km²
Step-by-step explanation:
Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]
0.5(7 × 5.4) = 18.9 km²
Answer:
A = 1/2 bh
1/2 x 7 x 5.4
= 18.9km2
Help needed!! Don’t know how to do!!
Answer:
D,0,2,-2
Step-by-step explanation:
2x^5-3x^3-20x=0
x(2x^4-3x^2-20)=0
x=0
or 2x^4-3x^2-20=0
put x²=t
2t²-3t-20=0
-20×2=-40
8-5=3
8×-5=-40
2t²-(8-5)t-20=0
2t²-8t+5t-20=0
2t(t-4)+5(t-4)=0
(t-4)(2t+5)=0
t=4
x²=4
x=2,-2
t=-5/2
x²=-5/2
it gives imaginary root. so real rational roots are 0,2,-2
Answer:
D
Step-by-step explanation:
1) Factorise x
x(2x^4-3x^2-20) = 0
a product is equal to 0 when at least one factor is equal to 0.
so a solution is
x = 0
we have now to solve
2x^4 - 3x^2 - 20 = 0
we can put
x^2 = y
and we have
2y^2 - 3y - 20 = 0
it is now an equation of second degree
Δ = 9 + 160 = 169
y1 = (3 + 13)/4 = 4
y2 = (3 - 13)/4 = -10/4 = -5/2
for the previous relationship we have
x^2 = 4
x = 2
x = -2
x^2 = -5/2
a square number can’t be negative, so this equation is impossible.
In conclusion we can say that the original equation has three solution:
0, -2, 2
Need help with this :(
Answer:
B. m = [tex]\frac{3}{2}[/tex], y-int = 3
Step-by-step explanation:
To find the slope of the line, we need to plot two points
(2, 6) (-2, 0)
m = slope
Then use the Slope-Formula to Solve for the slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-6}{-2-2}[/tex]
m = [tex]\frac{-6}{-4}[/tex]
m = [tex]\frac{6}{4}[/tex]
m = [tex]\frac{3}{2}[/tex]
The Slope is [tex]\frac{3}{2}[/tex]
The y-intercept is 3 because the line is going 3 units upwards on y axis!
Equation: y = 3/2x + 3
Slope: 3/2
y-intercept: 3
Answer:
m = 3/2 int- 3
Step-by-step explanation:
The line goes up 3 and goes right 2. The line crosses the y-intercept at 3.
mr.harrington drive 164 miles. his car used 8 gallons of gas. how many miles per gallon of gas does the car average
Answer:
20.5 miles per gallon
Step-by-step explanation:
To determine the miles per gallon, take the miles and divide by gallons
164/8
20.5