Answer:
[tex]g(x) = 12 {e}^{ - x - 7} [/tex]
Step-by-step explanation:
The parent function is
[tex]g(x) = e {}^{x} [/tex]
First it is asked to reflect over the y axis so using the rule
[tex]g(x) = g( - x)[/tex]
Our function looks like
[tex]g(x) = e {}^{ - x} [/tex]
Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule
[tex]g(x) = g(x - h)[/tex]
When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule
[tex]g(x) = a \times g(x)[/tex]
where a is the vertical stretch. So now it would look like
[tex]g(x) = 12 {e}^{ - x - 7} [/tex]
A 24-foot ladder leans against a building. The foot
of the ladder is 7 ft from the building. Find the
measure of the angle which the ladder makes with
the level ground.
Answer:
73°
Step-by-step explanation:
Here we use trigonometry to find the angle. The building and the ground form a perpendicular angle, with the ladder acting as the hypotenuse, we get a right angle. We know the length of adjacent leg from the angle, and the length of the hypotenuse. In this case, we use cosine since cos = adjacent length/hypotenuse length. So cos x= 7/24. To isolate x, we use the inverse function of cos, cos^-1. Then x= cos^-1 (7/24) or 73°.
using the following inequality 9 > 2. multiply each side by ( - 3 ) write a true inequality statement. 12 > -1, -27 > - 6, -27 < -6
Answer:
-89
Step-by-step explanation:
using the following inequality 9 > 2. multiply each side by ( - 3 ) write a true inequality statement. 12 > -1, -27 > - 6,
The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square
Answer:
Step-by-step explanation:
192in(5ft/2in)=480ft
4in(5ft/2in)=10ft
A=480ft(10ft)=4800ft^2
mother went to savers mall to buy disinfectant, she spent php 89.75 for an alcohol, php68. 35 for a clorox, and a pack of safe guard for php145.25 .How much she did spend on all?
Step-by-step explanation:
enejejeiwkwkwkemenememememememe
Express answer in exact form.
A segment of a circle has a 120° arc and a chord of 8√3in. Find the area of the segment.
10) Colleen paid $19.85 per hour for tennis lessons for 3 hours of instruction. If she gave
the instructor $60.00, how much change did she get back?
Answer:
40.15$
Step-by-step explanation:
subtract 20 from 60, you get 40. then add the 0.15 back. bam! 40.15$. hope this helped!! ^___^
The quadratic x squared - 4x -21 find values of a and b
If you averaged 400 miles per day, about how many days would a trip of 1990 miles take?
Answer:
4 days
Step-by-step explanation:
you would divide 1990 by 400 to get the answer.
i just started taking a math class today and i'm really rusty. my question is
simplify 28-(6+4)=(4-2)
Find the slope of 2x+2y=6
Answer:
slope= -1
Step-by-step explanation:
Help
Don’t use for points or will take it back
Answer:
It's 180-( 110+20)
=180-130
=50 degrees, hope it helps
Find o% of 176:
Find 100% of 176:
Find 50% of 176:
Find 25% of 176:
Find 75% of 176:
What is the distance between -80 and 8?
Answer:
-88
Step-by-step explanation:
i did -80-8 =-88 and to make sure you do -88+8 and you get 80 so -88 is the distance between -80 and 8
In a city election, 5,000 people voted for mayor. If the new mayor received 60% of the votes, how many people voted for the new mayor? Show how you know.
Answer:
3000
Step-by-step explanation:
100%-> 5000
60%->3000
Which equation represents a line which is perpendicular to the line x – 2y = -14?
Answer:
any equation that have the slope of -2
A line which is perpendicular to the line x – 2y = -14 will have a slope of -2
What is a slope?The slope of a line is a measure of its steepness.
Given an equation of a line x – 2y = -14
We know that, the slope of a line perpendicular to another line will have a slope of its negative reciprocal.
Therefore, slope of the line perpendicular to the line x – 2y = -14 will be -2
Hence, equation of the line perpendicular to the line x – 2y = -14 will have a slope of -2
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-19p ≤ 57
What could p be??
Answer:
81 units 2. Page 57. These items may be used by Louisiana educators for educational purposes. Algebra 1 Answer Key. ITEM 56. A committee at the ...
Step-by-step explanation:
Answer:
p≥−3
Step-by-step explanation:
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour.
Answer:
12 2/3 KMPH
Step-by-step explanation:
3 1/6 x 4 (reciprical of 1/4) = 12 2/3
A large bookstore took in $4,000,000 in sales last year.
The ratio of book sales to other sales was 5 to 3.
How much money in book sales did the store take in?
-2x -x + 8 please answer
Answer:
=−3x+8
Step-by step explanation:
I Need Help Giving Out 10 points! Plz Help
Answer:
b and d
Step-by-step explanation:
Which ordered pair best represents the coordinates of
a point that could be the third vertex of the right
triangle?
A (5,-5)
B (-4,6)
© (-3,-6)
D (3,4)
PLS HURRY I HAVE A TEST
Dustin is recording what kind of shoes people are wearing at the mall. He has seen 24 people
wearing boots and 63 people wearing other shoes. What is the experimental probability that
the next person Dustin sees will be wearing boots?
Simplify your answer and write it as a fraction or whole number
P(boots) =
Answer:
P=24/63
that is the probability
Step-by-step explanation:
hope helps
The value of 2n is between which pair of numbers?
Answer:
um.. wut numbers?
Step-by-step explanation:
Find the GCF of 16a and 40ab
Answer:
8
Good luck! Hope this helps!
Solve this equation.
1 5/8 - 1/3 =
Put a real awnswer or you will be reported
Answer:
1 and 7/24
Step-by-step explanation:
hope this helps!
Answer:
1 7/24
Step-by-step explanation:
1 5/8 - 1/3 = 1 7/24
Simplify the expression to lowest terms. 4x^2 - 9/2x^2+11x+12
Answer:
(2x - 3)/(x +4)
Step-by-step explanation:
Given the expression 4x^2 - 9/2x^2+11x+12
Simplify the numerator
4x^2 - 9 = (2x)^2 - 3^2
Recall that a^2 - b^2 = (a-b)(a+b)
Hence 4x^2 - 9 = (2x - 3)(2x + 3)
The denominator
2x^2+11x+12
Factorize
2x^2+11x+12 = 2x^2+8x + 3x+12
=2x(x + 4) + 3(x + 4)
= (2x + 3)(x + 4)
Hence
4x^2 - 9/2x^2+11x+12 = (2x - 3)(2x + 3)/(2x + 3)(x + 4)
= (2x - 3)/(x +4)
What is the 7th term in the following sequence? 48,40,32,24
Brainless answer !!!!!
Answer:
-8
Step-by-step explanation:
an=−8n+56
If segment DE is 12, what is segment BC?
Answer:
A) 24
Step-by-step explanation:
A coat at a store is originally priced at $85. The store marks the price down to $68. To the nearest percent, what is the percent markdown of the coat ?
Answer:
20%
Step-by-step explanation:
This is because the amount decreased is 17 and 17 is what percent of 85? The answer is 20%.
What is the volume, in cubic cm, of a cylinder with a height of 11cm and a base radius
of 9cm, to the nearest tenths place?
Answer:
2799.2 cm cubed
Step-by-step explanation:
h\hspace{3px}=\hspace{3px}11\hspace{30px}r\hspace{3px}=\hspace{3px}9
h=11r=9
identify variables
V=
V=
\,\,\pi r^2h
πr
2
h
use volume of a cylinder formula
V=
V=
\,\,\pi(9)^2(11)
π(9)
2
(11)
substitute variables into formula
V=
V=
\,\,2799.15905435
2799.15905435
multiply
V=
V=
\,\,2799.2\text{ cm}^3
2799.2 cm
3
round to the nearest tenths place
Volume of cylinder is 2799.16 [tex]cm^{3}[/tex]
Given that,
Height (h) of cylinder is 11cm.Radius (r) of cylinder is 9cmWe need to find volume of cylinder.According to the scenario, computation of the given data are as follows,
Volume of cylinder = [tex]\pi r^{2}h[/tex]
By putting the value, we get,
Volume of cylinder = 3.14 [tex]\times[/tex] [tex]9^{2}[/tex] [tex]\times[/tex] 11
= 2799.15905 [tex]cm^{3}[/tex] or 2799.16 [tex]cm^{3}[/tex]
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