Answer:
1. (-3) and (-4)
2. (-5) and 6; vise versa
Answer:
Step-by-step explanation:
hello :
1)Two numbers have a product of 12 but their sum is -7 :
means : xy=12 ....(*)
x+y = -7 ....(**)
solve this system : use (**) you have x = -y-7 put this value in (*)
so : (-y-7)y = 12
-y²-7y-12 = 0
y² +7y+12=0 a=1 b=7 and c= 12
the discriminant delta =b²-4ac delta = 7²-4(1)(12) = 1
y1 = (-7-1)/2 = -4 and y2 = (-7+1)/2 =-3
but x= -7-y
if :y = - 4 x= -7-(-4) =-3
if : y=-3 x = -7-(-3) =-4
2) same method : xy=-30
x+y=1
What are the domain, range, and asymptote of h(x) = (1.4)x + 5?
domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5
Answer:
The answer is
→ A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
Step-by-step explanation:
For every real x, (1.4)x is always positive, therefore the range would be y > 0, but (1.4)x + 5 adds 5 to every integer in the original range. This suggests that the real range is y | y > 5, or all positive values bigger than 5.
This is the sole choice for the range that A has, therefore, it should. (The other two characteristics hold true, as can be any real integer and lim h(x) = 5 x, implying that y = 5 is a horizontal asymptote of h(x).)
Therefore, A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5 is your answer.
Hope this helped! :^)
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- ✨7272033Alt✨
Submitted on 4/20/2022 at 1:37 PM
(To avoid plagarism, by users whom decide to copy.)
Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5. Option A is correct.
The given function is [tex]h(x)=1.4^x+5[/tex].
The domain of a function is the set of all valid inputs (x-values) for which the function is defined.
In this case, there are no restrictions on the base (1.4) raised to any real exponent, and thus, the domain includes all real numbers.
Therefore, Domain: {x | x is a real number}
The range of a function is the set of all possible output (y-values) that the function can produce.
In this case, the base (1.4) raised to any real exponent will always be positive, and when you add 5 to a positive number, you get values greater than 5.
Hence, the range consists of all real numbers greater than 5.
Therefore, Range: {y | y > 5}.
An asymptote is a line that a function approaches but never crosses.
For this exponential function, there are no vertical asymptotes since it is defined for all real numbers.
However, there is a horizontal asymptote. As the value of x approaches negative or positive infinity, the function h(x) will approach 5.
Therefore, Asymptote is y = 5.
Hence, option A is correct, domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.
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2-root3/root3. Rationalize the following equation
Answer:
-1/3
Step-by-step explanation:
Multiply by root 3 on the top and bottom. Root 3 times root 3 is 3. 2-3 is -1.
You deposit $2500 into an account that pays
3.5% annual interest compounded daily. How long will it take for the
balance to reach $3000
now, this is assuming there are 365 days in 1 year, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years \end{cases}[/tex]
[tex]3000=2500\left(1+\frac{0.035}{365}\right)^{365\cdot t}\implies \cfrac{3000}{2500}=\left(1+\frac{0.035}{365}\right)^{365t} \\\\\\ \cfrac{6}{5}=\left(1+\frac{0.035}{365}\right)^{365t}\implies \cfrac{6}{5}=\left(\cfrac{73007}{73000}\right)^{365t}[/tex]
[tex]\log\left( \cfrac{6}{5} \right)=\log\left[ \left(\cfrac{73007}{73000}\right)^{365t} \right]\implies \log\left( \cfrac{6}{5} \right)=t\log\left[ \left(\cfrac{73007}{73000}\right)^{365} \right] \\\\\\ \cfrac{~~ \log\left( \frac{6}{5} \right)~~}{\log\left[ \left(\frac{73007}{73000}\right)^{365} \right]}=t\implies 5.21\approx t\qquad \textit{about 5 years, 2 months and a half}[/tex]
Which equation represents the line shown in the graph below
Answer:
b: y = 2x + 5
Step-by-step explanation:
you can find this out by first looking at what the slope is
the slope is rise over run which is 2
then you can see that the y intercept is 5
y = 2x + 5
Which inequality does this graph show? LOOK AR PIC PLS ANSWER FAST
Answer:
D.
Step-by-step explanation:
1) if the points (1;-1) and (4;0) belong to the line, then
2) the equation of this line is 3y-x=-4;
3) the inequality is 3y-x≤-4.
Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = 16
Answer:
Slope of the line that is parallel: -1
Slope of the line that is perpendicular: 1
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-4x - 4y = 16 <== add 4x to both sides
+4x +4x
-4y = 4x + 16 <== divide both sides by -4
/-4 /-4
y = -x - 4
The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-1)
2. Flip it (-1/1)
3. Change the sign (1)
For a slope of -1, the reciprocal would be: 1
Hope this helps!
Convert to y=mx+b form
-4y=4x+16y=-x-4Slope:-
m=-1Parallel lines have equal slope
Perpendicular line's slope=1
Which statement about the graph of y = 1/4(2/3)^x is true?
The graph crosses the y-axis at (0, 1/6)
The graph decreases from left to right.
The graph includes point (1, 1/4)
The graph has an asymptote at y = 1/4
Answer:
The graph decreases from left to right.
Step-by-step explanation:
Gabriel has these bags of chips in his kitchen cabinet.
• 3 bags of Takis
• 2 bags of Doritos Cool Ranch
• 2 bags of Hot Cheetos
• 2 bags of Funyuns
• 1 bag of Ruffles
Gabriel will randomly choose one bag of chips. Then he will put it back and randomly
choose another bag of chips. What is the probability that he will choose a bag of
Funyuns and then a bag of Hot Cheetos?
The probability that he will choose a bag of Funyuns and then a bag of Hot Cheetos is
end
.:
1
25
::
:
42
Answer:
The answer for the first part is 2/5
Step-by-step explanation:
Because if you add the total number of bags it equals 10 and then you do 2/10 because if 2 bags of funyuns and another 2/10 because its 2 bags of hot cheetos so 2/10+2/10=4/10 and simplified it is 2/5
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The triangle circumscribes the circle. What is the perimeter of the triangle?
Answer:
P = 72 ft
Step-by-step explanation:
the perimeter P is the sum of the 3 sides.
Tangents to a circle from an external point are congruent , then
side 24 = 15 + 9
side 21 = 9 + 12
Third side = 12 + 15 = 27 ft
P = 24 + 21 + 27 = 72 ft
I need help with this so it said 36 is 9 times more than this number
Answer:
36 is 9 times more than 4
Step-by-step explanation:
9 * ?? = 36
to find the unknown number we solve:
36/9 = 4
so 9 times 4 equals 36
means that 36 is 9 times more than 4
HOPE THIS HELPS :)
Answer:
4
Step-by-step explanation:
9x4=36. I corrected both the guys before me who messed up
please help me answer this
Answer:
1,080
Step-by-step explanation:
Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.
Hello everyone i need help with the following question?
If x=3 and y=67
what is 6x × 8y + 27x - 6y + 3=
Answer:
9330
Step-by-step explanation:
6x × 8y + 27x - 6y + 3 = 18 × 536 + 81 - 402 + 3 =
9330
Answer:
The answer is 9330
Hope it helps
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Factor 64r^2 −9s^2 ANSWER ASAP I WILL GIVE BRAINLEST
.
Find the distance between the points.
Answer:
8
Step-by-step explanation:
Answer:
it will be 8
Step-by-step explanation:
The sum of my digits is 14 and I am odd. I am less than 3/5 of 160. I am greater than 104 - 12 x 4 + 23.
Answer:
95 assuming this is one number
Step-by-step explanation:
3/5 of 160 is 96
04 - 12 x 4 + 23 is 79
it is greater than 79 and less than 96
79 < x < 96
now find numbers between these 2 numbers that have digits adding to 14.
8+6 and 9+5
The problem included that the number must be odd and so the answer is 95
*PUZZLE*
Rules:
1: Put the number in the circle such that the sum of each line should be the same.
2: All numbers must be used.
3: All numbers use once
Numbers: 1, 2, 3, 4, 5, 7, 8, 9
Hint: The answer should be between
15- 25
Answer:
Step-by-step explanation:
Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?
The proportional relationship between (0,0) and (4,11) represents a direct variation
The equation that represents the graph is y = 11x/4
How to determine the equation of the graph?The points on the graph are given as:
(x,y) = (0,0) and (4,11)
The equation of the graph is then calculated using:
y = (y₁/x₁) * x
This gives
y = (11/4) * x
Evaluate
y = 11x/4
Hence, the equation that represents the graph is y = 11x/4
Read more about proportional relationships at:
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please someone do number 9
Answer:
2 4/5 kg.
Step-by-step explanation:
Multiply 7/2 (3 1/2) by 4/5
Please help me with this please and thank you
Answer:
#3 is 100
#2 is west
#1 is 80
Step-by-step explanation:
A stadium can seat `16000` people at full capacity.if there are `13920` people in the stadium, what percent of the stadium is full?
Answer:
87%
Step-by-step explanation:
13920/16000=0.87=87%
The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
What is the Pythagorean Theorem?In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².
Given the following parameters of the right triangle:
c = 4 cma = 3 cmb = ? (other leg)Apply the Pythagorean theorem:
b = √(4² - 3²)
b = 2.6 cm (nearest tenth)
Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
Learn more about Pythagorean theorem on:
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Triangle JKL has vertices J(-4, 4), K(-1, 3), and
L(-2, 1). Graph the figure and its rotated image after a
clockwise rotation of 90° about the origin. Then give the
coordinates of the vertices for triangle J'K'L'.
K
o
NO LINKS
Answer:
J(0,6)
K(-1,3)
L(-3,4)
Step-by-step explanation:
You are standing at point C, 45 feet from the Point State Park fountain in Pittsburgh, PA. The distance from you to a point of tangency on the fountain is
105 feet. Find the length of AC, the distance between you and your friend at point A.
The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
How to determine the distance AC?To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
Read more about line of tangents at:
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The triangle on the right is a scaled copy of the triangle on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
5
15/2
15/2
Diego works at a carwash and makes $11 per hour. If he works 9 hours of overtime in a week, how much overtime would he earn? Consider that overtime is paid at time-and-a-half of his regular rate. 158.40 130.00 150.40 148.50
Answer: Total Hours
Regular Rate = $11.25 / hour
Overtime Rate = $16.88 / hour
Double Time Rate = $22.50 / hour
Step-by-step explanation:
WHOEVER HELPS ME WITH THESE 4 QUESTIONS WILL GET 60 POINTS AND RIGHT AWNSERS I WILL RATE U BRAINLIEST thank u so much and pls hurry up i only have 7 min left! ( pls good explanation)
Answer:
34) 5 questions
35) 8 questions
36) 9 questions
37) 10 questions
Step-by-step explanation:
We could create an exponential function for this scenario, but it is quicker and easier to simply list the potential scores.
We are told that the initial score is 1.
We are told that the the score doubles each time.
Therefore, the scores in sequence are:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 ... etc.
34) 16 is the 5th term in the sequence, so 5 questions
35) 128 is the 8th term in the sequence, so 8 questions
36) 256 is the 9th term in the sequence, so 9 questions
37) 512 is the 10th term in the sequence, so 10 questions
Given m
|| n, find the value of x and y.
Answer:
55 degrees
Step-by-step explanation:
well, x is on the same line as 125, and a line is always a straight 180 degrees, so you subtract 180-125=55, and angle x and angle y are corrisponding angles, so y also equals 55 degrees.
hope that helps!
Can anyone help me with this problem?
Answer:
C
Step-by-step explanation:
pls tell me if im wrong
on the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH
The equation y = 3x - 2 is a linear equation
Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2
How to determine the points?The rule is given as:
y = 3x - 2
Set x = 0
y = 3(0)- 2 = -2
Set x =1
y = 3(1)- 2 = 1
Set x = 2
y = 3(2)- 2 = 4
The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2
See attachment for the graph of the line y = 3x - 2
Read more about linear equations at:
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need help please will mark branliest
whats the perimeter of triangle
side is x+1
side is x+1
base is 2x+2
2.whats the perimeter of rectangle
length is x
width is x+3
