Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:
[tex]g(x) = f(x+4) - 6[/tex]
Transformation 1:
[tex]g(x) = f(x+4)[/tex]
Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:
[tex]g(x) = f(x+4) - 6[/tex]
Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).
Which is an equation for the circle with center (-3 , 1) with a radius of 3?
A. (x−3) 2+(y+1) 2=3
B. (x+3) 2+(y−1) 2=3
C. (x+3) 2+(y−1) 2=9
D. (x−3) 2+(y+1) 2=9
Answer:
The answer is c mate .
Step-by-step explanation:
Have a good time and if you find it useful . please rate brainliest . If not Thanks anyway .
Milena walked 25.086 kilometers on Monday, 19.8 kilometers on Tuesday, and 7 kilometers on Wednesday. What was the total distance that Milena walked
Determine the area of this triangle...
Answer:
650,000 cm²
Step-by-step explanation:
10x6.5=65 METERS squared. They want it in CENTIMETERS squared.
65m² = 650,000cm²
Answer:
32.5[tex]m^{2}[/tex]
Step-by-step explanation:
The coloured triangle with the blank triangle area =
(14m x 6.5m)÷2 = 45.5[tex]m^{2}[/tex]
The blank triangle area =
[(14-10m) x 6.5m]÷2 = 13[tex]m^{2}[/tex]
Therefore:
The coloured triangle area =
(45.5 - 13)[tex]m^{2}[/tex]
=32.5[tex]m^{2}[/tex]
help me please thank you
Answer:
m<A = 98.25
m<B = 81.75
m<C = 113
m<D = 113
m<E = 67
Step-by-step explanation:
3x + 12 + 5x - 18 = 180
8x - 6 = 180
8x = 186
x = 23.25
3x + 12
3(23.25) + 12
81.75
5x - 18
5(23.25) - 18
98.25
6y - 5 + 10y - 7 = 180
16y - 12 = 180
16y = 192
y = 12
6y - 5
6(12) - 5
67
10y - 7
10(12) - 7
113
(x2 + 5x +4) × (x + 4)
׳+9x²+24×+16 ...............
Helllppppp me quick!!!!!!!
Answer:
F(x) =2x+3
Step-by-step explanation:
F(x) =2x+3...............
Answer:
[tex]consider : (0, 3) \: and \: (1, 5) \\ gradient = \frac{5 - 3}{1 - 0} \\ = 2 \\ from : \: y = mx + c \\ consider \: (0, 3) \\ 3 = (2 \times 0) + c \\ c = 3 \\ therefore \: equation \: is : \\ y = 2x + 3[/tex]
Find the side lengths of the triangle in this picture.
Answer:
Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.
Step-by-step explanation:
According to the statement, we have the following information about the lengths of the right triangle:
Hypotenuse
[tex]3\cdot x + 14[/tex]
Long leg
[tex]3\cdot x + 13[/tex]
Short leg
[tex]x[/tex]
By the Pythagoric Theorem, we have the following expression:
[tex](3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}[/tex] (1)
[tex]9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169[/tex]
[tex]9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169[/tex]
[tex]x^{2} -6\cdot x -27 = 0[/tex]
[tex](x-9)\cdot (x+3) = 0[/tex]
As length is a positive variable by nature, then the only possible solution is [tex]x = 9[/tex]. Lastly, the side lengths of the right triangle are:
Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.
I can’t seem to find the value of n in this peoblem
Answer:
9
Step-by-step explanation:
you can always use guess-and-check:
124 seems rather high
(6)P(2) = 6!/4! = 6x5 ≠ 72
(9)P(2) = 9!/7! = 9x8 = 72
Answer:
i think the value of n is 12
Pls helppp I’ll mark u brainliest
Answer:
I believe the answer to this question is (4,1)
Kiera's dance class starts at 4:30pm and ends at 6:15 pm how long is her dance class
Find the length of a to the nearest tenth using the Pythagorean theorem
Answer:
Ab^2 = CA^2 + BC^2
8^2 = 6^2 + a^2
64 = 36 + a^2
64-36 = a^2
28 = a^2
square root of 28 = square root of a^2
5 ,29 = a
5 = a
ILL MARK BRAINLIEST!
Which of these points lies on the graph of the equation x – 9 = y?
A. (3, 6)
B. (2, 11)
C. (-3,-6)
D. (-2, -11)
Answer:
D. (-2, -11)
Step-by-step explanation:
Since -2 - 9 = -11, it fits into the equation x - 9 = y, with -2 being "x" and -11 being "y".
And out of all the options, D is the only one that works.
Which one of the following is an ordered pair?
{-3, 5}
(2, 4, 0)
(0, 6)
1, 3
9514 1404 393
Answer:
(c) (0, 6)
Step-by-step explanation:
Conventionally, an "ordered pair" is a pair of items in parentheses, separated by a comma. The items don't have to be numbers. (0, 6) is an ordered pair.
__
Comments on the other answer choices
Curly braces are usually used as delimiters of a set, not an ordered pair.
Three items do not constitute a "pair." Rather, they are a "triple."
Items without any particular indicator of grouping are usually not considered a "pair."
A store sells small notebooks for $8 and large notebooks for $16. If a student buys 6 notebooks and spends $80, how many of each size did he buy?
Answer:
Small-6
Large-2
Step-by-step explanation:
small-$8
large-$16
$8×6=$48
$80-$48=$32
32÷16=2(large)
Question 12: Angle M and Angle P are what type of angles?
m
n
o
Р
qr
st
adjacent
right
obtuse
O vertical
Answer:
adjacent anf o vertical
Step-by-step explanation:
5(9-x)/3 +1 less than 11
find x
Answer:
x > [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5(9-x)}{3+1}<11[/tex]
Add 3 and 1 to get 4.
[tex]\frac{5(9-x)}{4}<11[/tex]
Use the distributive property to multiply 5 by 9−x.
[tex]\frac{45-5x}{4}<11[/tex]
Subtract 45/5 from both sides.
[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]
Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.
[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]
Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.
[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]
Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.
[tex]x>\frac{-(-4)}{4 x 5}[/tex]
[tex]x>\frac{1}{5}[/tex]
A company's revenue from selling x units of an item is given as R=1700x-2x^2 . If sales are increasing at the rate of 25 units per day, how rapidly is revenue increasing ( in dollars per day ) when 250 units have been sold
Answer:
The daily rate is: 17500 units per day
Step-by-step explanation:
Given
[tex]R = 1700x - 2x^2[/tex]
[tex]\frac{dx}{dt} = 25[/tex]
Required
Find [tex]\frac{dR}{dt}[/tex] when [tex]x = 250[/tex]
We have:
[tex]R = 1700x - 2x^2[/tex]
Differentiate both sides with respect to time
[tex]\frac{dR}{dt} = 1700\frac{dx}{dt} - 4x\frac{dx}{dt}[/tex]
Factorize
[tex]\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}[/tex]
Substitute: [tex]\frac{dx}{dt} = 25[/tex] and [tex]x = 250[/tex]
[tex]\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}[/tex]
[tex]\frac{dR}{dt} = (1700- 4*250)*25[/tex]
[tex]\frac{dR}{dt} = (1700- 1000)*25[/tex]
[tex]\frac{dR}{dt} = 700*25[/tex]
[tex]\frac{dR}{dt} = 17500[/tex]
The "freshman 15" is the name of a common belief that college students, particularly women, gain an average of 15 pounds during their first year of college. In one study of 110 female first‐year college students (Psychology of Women Quarterly, vol 17, pp.119‐126, 1993), the mean weight was 130.6 pounds at the beginning of the study and 131.4 pounds six months later. The standard deviation was about 20 pounds at each time.
Required:
a. Estimate the change in the mean weight over this six‐month period.
b. Is this sufficient information to find a confidence interval or conduct at estimate about the change in the mean over six months? If not what else do you need to know?
Answer:
A) - 0.8 Ibs
B) There isn't enough information
The standard deviations of the difference scores is needed
Step-by-step explanation:
N = 110 female first year college students
Mean weight at beginning of study = 130.6 Ib
Mean weight after six ( 6 ) months = 131.4 Ib
standard deviation = 20 pounds
A) Determine the change in the mean weight over the six(6) months period
mean weight at beginning - mean weight after six(6) months
= 130.6 - 131.4
= -0.8 Ibs
B) Determine if there is sufficient information to find a confidence interval
There isn't sufficient information to determine the confidence interval but in other to determine the confidence interval or conduct an estimate You need standard deviations of the difference scores to calculate the standard error of mean
Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.
a. Write an expression to show the total amount of money Maggie spent.
b. If Maggie bought 4 CDs and 3 books, how much money did she spend?
Answer:
b. (4×12)+(3×7)
48+21= 69
she spent $69
please help, this is urgent!
Quadrilateral WXYZ will be rotated 180° about the origin and then reflected across the y-axis.
W (-7,-2)
X (-4,-2)
Z (-6,-6)
Y (-3,-7)
Choose all of the statements about the quadrilateral and/or the the transformed quadrilateral that are correct.
A. The quadrilaterals will be congruent
B. The Quadrilateral will map onto itself
C. The quadrilateral will now appear in Quadrant 2
D. The quadrilaterals will have the same orientation
E. The quadrilaterals will be similar but not congruent
Answer: the answer is W (-7, -2)
Step-by-step explanation:
find the common difference of the arithmetic sequence 3, -2, -7
Answer:
-5
Step-by-step explanation:
To find the common difference, take the second term and subtract the first term
-2 - 3 = -5
Check with the third term and the second term
-7 - (-2) = -7 +2 = -5
The common difference is -5
What is the radius of
this cylinder if the
volume is 75.4 in^3 and
the height is 6 inches
Answer:
Radius of cylinder = 2 inch (Approx.)
Step-by-step explanation:
Given:
Volume of cylinder = 75.4 in³
Height of cylinder = 6 inches
Find;
Radius of cylinder
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (3.14)r²(6)
75.4 = (18.84)r²
(Radius of cylinder )² = 75.4 / 18.84
(Radius of cylinder )² = 4.002123
(Radius of cylinder) = 2
Radius of cylinder = 2 inch (Approx.)
Prove the statement below directly from the definitions of the terms.
For all integers n, n2 + n +1 is odd.
Answer:
We know that:
If A is an even integer number, then A + 1 is an odd number
If B is an odd number, then B + 1 is an even number.
We also know that the product of two odd numbers is odd, and the product of two even numbers is even.
We want to prove that:
For all integers n, n^2 + n + 1 is odd.
We have two cases.
If n is even, then:
n^2 is the product of two even numbers, so is even.
n^2 + n is the sum of two even numbers, then it is even.
And:
(n^2 + n) + 1 is an even number plus one, so it is odd.
Now let's assume that n is odd.
n^2 is the product of two odd numbers, then n^2 is odd.
n^2 + n is the sum of two odd numbers, then it is even.
And similar as the previous case:
(n^2 + n) + 1 is an even number plus one, so it is odd.
What is the remainder when 26 – 4x4 + 4x2 – 10 is divided by x + 3?
Write only the number for the solution.
the answer is a,I took the test on edu
Please, help meeeeee
Answer:
y = 500x + 1000
Step-by-step explanation:
The standadrd equation of a line is expressed as y = mx+b
m is the slope
is the y-intercept
Using the coordinate points (0, 1000) and (6, 4000)
Slope = y2-y1/x2-x1
Slope = 4000 - 1000/6-0
Slope m = 3000/6
Slope m = 500
Since the line cut the y axis at y = 1000, hence the intercept b = 1000
Get the required equation;
Reall that y = mx+b
y = 500x + 1000
helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Area of a circle= π r square
22/7 × 6 ×6
22/7×36
= 792/7
=113.40
Can someone help me I am stuck on this question it would mean the world if u helped me! and TYSM! for the people who helped me have a wonder full day!
Answer:
1.25 gallons of orange juice needed
Step-by-step explanation:
2(3/4)=3/2 cups per 1 person
24 x 3/2=36 cups for everyone
36 cups=18 pints
18-8=10 pints of orange juice
10 pints = 1.25 gallon
Answer:
1.25 gallons of orange juice
Step-by-step explanation:
24x2=48
3/4x48=36
36 cups into pints is 18 pints
18-8=10
10 pints into gallons is 1.25 gallons
Plz help its my last grade and i really need it to be good
Answer:
Option D
Step-by-step explanation:
[tex]60+45+75=180[/tex]
[tex]Triangle ~has ~the~ sum ~of ~angle =180[/tex]
--------------------------
hope it helps...
have a great day!!
Answer:
D will be your answer!!
Step-by-step explanation:
hope it helps
Please help me solve this question
Which value is a solution of 7/4x^2-2=-0.5+4?
Answer:
x=√154 over 7 , −√154 over 7
Step-by-step explanation:
Answer:
the answer is that x=positive or negative square root of 22 over square root of 7
Step-by-step explanation: