What will be the new function g(c) if f(x) = 2^x is translated 2 units down and
3 units left?
Answers
Answer:
The new function is
[tex]g(x) = {2}^{x + 3} - 2[/tex]
Related Questions
Solve the equation. Determine the solution(s) and any extraneous solution.
√2x = x - 4
Answers
I assume you mean the equation
√(2x) = x - 4
Take the square of both sides. Note that √(2x) is a non-negative number, so any solution we find must also satisfy x - 4 ≥ 0, or x ≥ 4.
(√(2x))² = (x - 4)²
2x = x² - 8x + 16
x² - 10x + 16 = 0
(x - 8) (x - 2) = 0
x - 8 = 0 or x - 2 = 0
x = 8 or x = 2
If x = 2, then x ≥ 4 is false. The only solution is then x = 8.
HELPP MEEEEEEEEEEEEEE thanks
no fake answers please will mark the brain list if correct.
Answers
Answer: Equal to.
Step By Step Explanation:
Answer:
they are equal
Step-by-step explanation:
5/6 * 250
(5 * 250)/6
1250/6
208.33
(1/3 * 250) + (1/2 * 250)
(250/3) + (250/2)
500/6 + 750/6
1250/6
208.33
The proportion of all US adults who eat popcorn when they go to the movie theater is p = 0.87. A random sample of 20 US adults was selected and asked if they eat popcorn when they go to the movie theater. Which of the following is the shape of the sampling distribution of p hat ?
The sampling distribution of p hat is approximately Normal because n p = 17.4 greater-than 10.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10, the sampling distribution of p hat is not approximately Normal. The sampling distribution of p hat is skewed right and centered at 0.87.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10 , the sampling distribution of p hat is not approximately Normal. Because p = 0.87 is closer to 1 than 0, the sampling distribution of p hat is skewed to the left.
Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10, the sampling distribution of p hat is not approximately Normal. Because p = 0.87 is closer to 1 than 0, the sampling distribution of p hat is skewed to the right.
Answers
The option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero.
Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
Because the requirement for normal is greater than 10, n×p is greater than 10 and nx(1-p) is also greater than 10.
This situation is abnormal because it is not valid. If p is close to 1 in a normal graph, then p is left skewed.
Thus, the option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero. Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.
Learn more about the normal distribution here:
brainly.com/question/12421652
#SPJ1
A baseball team won 55% of their games. If they played 200 games, how many did they win?
A
100
B
110
C
160
D
190
Answers
Answer:
110
Step-by-step explanation:
Number of games won = Total games × Win percentage
Number of games won = 200 x 55%Number of games won = 200 × 0.55Number of games won = 200 x 11/20Number of games won = 10 x 11Number of games won = 110PLEASEEEE HELP!!! WILL MARK BRAINIEST TO THE RIGHT ANSWER
Answers
Answer:
x = 34 degree
Step-by-step explanation:
they're corresponding angles. so, they have equal measures.
SOMEONE HELP ME PLEASEEE
Answers
Answer:
2
Step-by-step explanation:
First, you have to find the change in the sides you know the numbers of. 21/3 is 7, so it's being increased/decreased by 7 units. Now, just divide 14 by 7 to get your answer (2).
Hope this helps!
Examine the ordered pairs in this function.
(4.7). (-3,8). (11,14), (12.-6), (1, 10)
Which numbers are output values of the function?
Answers
Answer:
Then numbers 7 , 8 , 14 , -6 , 10 are output values of the function
i need help pllllzzzzz help help
Answers
Answer:
a = 84/14
Step-by-step explanation:
The next step you would divide by 14 to get a=6 so I think the program wants you to input a = 84/14
Please help me....Use the Pythagorean identity
Answers
Using the Pythagorean identity, the value of the cosine ratio is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]
How to determine the cosine ratio?The given parameter is:
[tex]\sin(\theta_1) = -\frac{13}{85}[/tex]
By the Pythagorean identity, we have:
[tex]\sin^2(\theta_1) + \cos^2(\theta_1) = 1[/tex]
So, we have:
[tex](-\frac{13}{85})^2 + \cos^2(\theta_1) = 1[/tex]
This gives
[tex]\cos^2(\theta_1) = 1 - (-\frac{13}{85})^2[/tex]
Evaluate
[tex]\cos^2(\theta_1) = 1 - \frac{169}{7225}[/tex]
Take LCM
[tex]\cos^2(\theta_1) = \frac{7225 -169}{7225}[/tex]
This gives
[tex]\cos^2(\theta_1) = \frac{7056}{7225}[/tex]
Take the square root of both sides
[tex]\cos(\theta_1) = \pm \frac{84}{85}[/tex]
Cosine is positive in the fourth quadrant.
So, we have:
[tex]\cos(\theta_1) = \frac{84}{85}[/tex]
Hence, the cosine value is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]
Read more about Pythagorean identity at:
https://brainly.com/question/1969941
#SPJ1
another help pleaseeeee!! ><
Answers
Answer:
8. 3/10
9. 1/7
10. a
Step-by-step explanation:
Which expression is equivalent to 5m + 8m?
m + 13
12m
13m
13
m
Answers
Answer:
13 m
Step-by-step explanation:
5m + 8m = 13m
The answer is 13m as both of them are like term and can be added....
I need help pls I need it under 25min pls
Answers
(a) P(3, -8), Q(1, -12)
(b)
(i) x = -1, 4
(ii) x = 1, 2
(c) Drawn Below, refer to the red line. Equation: x = 1.5
Explanation:Given Equation's:
y = 2x² -6x - 8y = 2x - 14Part A
Coordinates of points: P(3, -8), Q(1, -12)
Part B
From the graph identify:
(i) 2x² - 6x - 8 = 0 || Solution: x = -1, 4
(ii) 2x² - 6x = -4 || Solution: x = 1, 2
Part C
Symmetry of a parabola is at the middle, dividing the curve in equal parts.
Equation: x = 1.5
Angle measures in polygons need ASAP thank you
Answers
Answer:
1) 25
2) 61
3) 20
4) 25
5) 65.46
Explanation:
1) Use the formula " (n-2)180. N = the number of sides.
(25-2)180 = 4140
2) The sum of the polygon is 900.
(7-2)180 = 900
Add up all the numbers and variables then equal them to 900.
3) To find an interior of an 18-gon is the use of this formula:
(n-2)180 = Sum of the polygon
Sum / n
(18-2)180 = 2880
2880 / 18 = 160
180 - 160 = 20 ; Because they are supplementary.
4) (25-2)180 = 4140
4140 / 25 = 165.6
5) Copy the formula for explanation #3. But instead of an 18-gon, do 11-gon.
PLEASE HELP ASAP, WOULD APPRECIATE IF YOU SHOWED STEPS
Answers
Answer:
abbbcab(a) [tex]7^{4}[/tex] (b) [tex](\frac{4}{9}) ^{17}[/tex] (c) [tex]4^{-4}[/tex] (d) [tex]8^{-3}[/tex]Step-by-step explanation:
1. The moment he started: 3 bacteria
1st hour: 3*2 bacteria = 3*[tex]2^{1}[/tex] bacteria
2nd hour: 3*2*2 bacteria = 3*[tex]2^{2}[/tex] bacteria
3rd hour: 3*2*2*2 bacteria = 3*[tex]2^{3}[/tex] bacteria
etc.
Each hour the number of bacteria multiplies by 2 (the power of 2 is increased by 1), therefore, [tex]B=3*(2)^{n}[/tex]
2. Exponential function has the form of [tex]f(x)=ab^{x}[/tex]
if a is greater than 0 and b is greater than 1, then it's exponential growth.
The answer is:
[tex]y=4^{x}[/tex] (4 > 1)
3. If smth increases by 2.5% each time, that means that at first you had 100% and then it became 100%+2.5% = 102.5%. So each time we multiply the value by 1.025 (100*1.025=102.5).
4. Linear equation form: [tex]y=ax+b[/tex]
Quadratic equation form: [tex]y=ax^{2} + bx + c[/tex]
Exponential equation form: [tex]y=ab^{x}[/tex]
In this case, a = 3.8, b = -5.5, c = -4.8
5. (a) square root
(b) linear
(c) exponential
(d) quadratic
6. Each year the car's worth is multiplied by 0.82 (82%). Therefore, after n years, the value will be: V = 27 500 * [tex]0.82^{n}[/tex]
7. Neither first, nor second differences are constant in case of an exponential relation, because we do not add but multiply.
Ex. [tex]y=2^{x}[/tex]
values: 1 2 4 8 16 32...
1st diff: 1 2 4 8 16...
2nd diff: 1 2 4 8...
8. (a) [tex]7^{11} / 7^{7} = 7^{11-7} = 7^{4}[/tex]
(b) [tex](\frac{4}{9})^{12} *(\frac{4}{9})^{5} =(\frac{4}{9} )^{12+5}=(\frac{4}{9})^{17}[/tex]
(c) [tex]4^{11} / (4^{5})^{3} =4^{11} / 4^{5*3}=4^{11} /4^{15}=4^{11-15}=4^{-4}[/tex]
(d) [tex]8^{-6}*8^{3}=8^{-6+3}=8^{-3}[/tex]
Find the surface of the cone in terms of pi.
144pi cm2
108pi cm2
90pi cm2
180pi cm2
please
Answers
Check the picture below.
if the diameter of its base is 12, then its radius must be half that, or 6.
[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]
f(x) = x2. What is g(x)?
Answers
Answer:
A. g(x) = -x^2 - 3.
Step-by-step explanation:
If we reflect f(x) over the x -axis we get -f(x) which is the mirror image of f(x)
To get g(x) we then translate the image 3 units down,
g(x) = -x^2 - 3.
What do zeros tell us in this situation
Answers
Answer:
zero called 1 in this situation
Step-by-step explanation:
its your ans
50 POINTS! Use the Parabola tool to graph the quadratic function.
f(x)=(x+4)^2 −6
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
General equation
y=a(x-h)²+kBy observing y=(x+4)²-6
Vertex is at (-4,-6)a is 1So
The parabola graph is attached
Answer:
See below ~
Step-by-step explanation:
Given :
f(x) = (x+4)² − 6
f(x) = a(x + h)² + k
The vertex of the graph is (-4, -6)Compressibility factor (a) is equal to 1Another point on the parabola :
Take x = 1f(1) = (1 + 4)² - 6f(1) = 25 - 6f(1) = 19The second point is (1, 19)Graph :
Does anybody know the measure of JLM?
Answers
Measure of ∠JLM = m∠60°
juan went to the sporting goods store. he spent $14 on a batting glove. he spent half of the remaining money on a football. later, he spent $2 on a sports drink. if he had $10 left, how much money did juan take to the sporting goods store? how much did he spend on the football?
Answers
Answer: 38 dollars
Step-by-step explanation:
work in reverse (include dollar sign in your answer, I can't get it on my keyboard)10 + 2 = 1212 x 2 = 2424 + 14= 38NEEED HELPppppppppppp
PLSSSSS
Answers
Answer:
probably the furthest graph to the left.
Step-by-step explanation:
seems like a 25% 10% split.
Select the correct answer. what is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)
Answers
The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
How to determine the complete factorization?The expression is given as:
x² + 4x - 45
Expand the equation
x² + 4x - 45 = x² + 9x - 5x - 45
Factorize the expression
x² + 4x - 45 = x(x + 9) - 5(x + 9)
Factor out x + 9
x² + 4x - 45 = (x - 5)(x + 9)
Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
Read more about expressions at:
https://brainly.com/question/723406
#SPJ4
Answer:D
Step-by-step explanation:
i got it on edmentumn
Write the expression in repeated multiplication form. Then write the expression as a power.
(6^4)^2
The expression in repeated multiplication form is
The expression as a power is
Answers
Answer:
Step-by-step explanation:
a. (6)^(4*2) or (6^4)(6^4)(6^4)(6^4)
b. 6^8
Question 3
A theatre group sold 4830 tickets for their show
This was 15% more than they sold last year.
How many tickets did they sell last year?
Answers
Answer: 4105.5
Step-by-step explanation:
The number of tickets sold in the previous year is 3723.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.
Therefore, the tickets sold in the previous year is:
4380 - 15% of 4380
= 4380 - 15×4380/100
= 4380 - 657
= 3723
Hence, the number of tickets sold in the previous year is 3723.
Learn more on percentages here:
https://brainly.com/question/14979505
#SPJ2
Put this equation into slope-
intercept form.
5x – 4y = 12
Answers
Answer:
[tex]y =\frac{5}{4}x+ ( -3)[/tex]
Step-by-step explanation:
Step 1: Subtract 5x from both sides
[tex]5x - 4y = 12[/tex]
[tex]5x - 5x - 4y = 12 - 5x[/tex]
[tex]-4y = 12 - 5x[/tex]
Step 2: Divide both sides by -4
[tex]\frac{-4y}{-4} = \frac{12}{-4} - \frac{5}{-4}x[/tex]
[tex]y =\frac{5}{4}x+ ( -3)[/tex]
Answer: [tex]y =\frac{5}{4}x+ ( -3)[/tex]
What is the equation of the following line? Be sure to scroll down first to see all answer options .
Answers
Answer:
f
Step-by-step explanation:
your welcome
HELP I WILL MARK BRAINIEST IF YOU HELP
Answers
Answer:
3.5 Is the answer, this is dialation
Answer:
x = 28
Step-by-step explanation:
Since none of the current side values of Triangle 1 can be increased by the same values to represent Triangle 2, we have to divide the values of Triangle 1 by half.
T1 S1: 10 / 2 = 5
T1 S2: 8 / 2 = 4
T1 S3: 12 / 2 = 6
Now in order to find out the value that you need to multiply these sides by, you need to divide Triangle 2's values by Triangle 1's simplified side values.
T2 S1: 35 / 5 = 7
T2 S2: x / 4 = ?
T2 S3: 42 / 6 = 7
Triangle 2's Side 1 becomes 7 and Triangle 2's Side 2 becomes 7 as well. Because the value of x is unknown and both Triangle's sides seem to be the same value of 7, you can safely assume that Triangle 2's Side 2 will also have a value of 7.
x / 4 = 7
x = 7(4)
x = 28
Write an algebraic expression that describes the following word phrase, using the letter `a` for the unknown number.
nine times a number minus two = _____ a - _____
Answers
Answer:
=7*a-2
=7a-2
Step-by-step explanation:
_a-_
ATQ,
7 times means 7*
as per the question,
Nine times (7*) a number (a) minus two (-2)
Hope this helps you!! (ㆁωㆁ)
whats 55 + 55? I've been struggling and I can't take it anymore. I saw the memes and I need the real absolute final answer. pls help
Answers
Answer:
110
50+50=100
5+5=10
100+10=110
(thats how i do mental math)
The diameter of a circle is 34 inches. What is the circle's circumference?
Answers
Answer:
Hello!!!
34pi or 106.81
Please read the explanation... it always helps... i promise...
Step-by-step explanation:
Alrighty the circle circumference states that... c = 2r pi
we need to find the radius which is always half of the diameter.... so 34/2=17
the radius is 17... now all we have to do is substitute 17 into the circumference formula...
(2)17 pi = 34pi OR 106.81
or you can do Diameter multiplied by pi since the diameter is basically the radius multiplied by two... there are multiple ways you could approach this problem...
i hope this helps!!!!!!!
The circumference of the circle is approximately 106.96 inches.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The circumference C of a circle with diameter d is given by the formula:
C = πd
Substituting the given value of diameter, we get:
C = π(34) = 34π
Using an approximation of π as 3.14, we can calculate the approximate circumference as:
C = 34 × 3.14 = 106.96 inches
Therefore,
The circumference of the circle is approximately 106.96 inches.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ2
