Answer:
Option 3: 12 is the correct answer.
Step-by-step explanation:
Given functions are:
[tex]f(x) = 16x-30\\g(x) = 14x-6[/tex]
In order to find the value of x on which (f-g)(x) will be zero, first of all we have to find (f-g)(x) and then equate it equal to zero to find the value of that will make (f-g)(x)
So,
[tex](f-g)(x) = f(x) - g(x)\\= (16x-30)-(14x-6)\\=16x-30-14x+6\\= 2x-24[/tex]
Now to find the value of x on which (f-g)(x) will be zero, putting (f-g)(x) = 0
[tex](f-g)(x) = 0\\2x-24 = 0[/tex]
Adding 24 on both sides
[tex]2x-24+24 = 0+24\\2x = 24[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2} = \frac{24}{2}\\x = 12[/tex]
For x=12, (f-g)(x) will be zero.
Hence,
Option 3: 12 is the correct answer.
Answer:
C got it right on edge 2022
Step-by-step explanation:
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
To know more about Trigonometric Function on:
https://brainly.com/question/15768633
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I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.
Answer:
4
Step-by-step explanation:
64 divided by 16 is 4.
To check your answer, you can always add the top: 20+4 which is 24, and multiply that by 16: which is 384-the total number of seats.
Need help !!ILL GIVE BRAINLEST!
Answer:
Step-by-step explanation:
Whats the question???
A fair coin is tossed three times in succession. The set of equally likely outcomes is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. Find the probability of getting exactly two heads out of three tosses.
Answer:
If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.
Probability of getting one:
Outcomes with one head (h) = 3
P(1 h) = 3/8 = 0.375
Step-by-step explanation:
Answer:
2/8
Step-by-step explanation:
2/8 Because there is two answers that have two H's on them Ex: HHT, THH
I need help with this can someone help me I have a few other ones as well I don’t understand anyone?
Answer:
x=59
Step-by-step explanation:
The sum of the interior angles of a triangle add up to 180 degrees. That means that (x+12)+(x)+(x-9)=180 degrees in total. If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3). If we rewrite this in a more simplified form, we get 3x+3=180. Subtract 3 on both sides to get 3x=177 because we want to isolate x. 3x=177 divide 3 on both sides and we get 59. x=59
number 4 plz and thank u
Answer:
22 weeks
Step-by-step explanation:
it is 22 weeks because if you divide 39 by 2 then it is 19.5 and if you divide 429 by 19.5 you will get 22 hope this helps.
Please,can you help me with this one?
Parker has 4 different piggy banks
one each for pennies, nickels,dimes, and quarters
If there are twenty coins in each of his 4 piggy banks,
what is the average amount of money contained in
each piggy back?
Answer:
Just multiply two with the value of one penny,one,nickel,one dimes,one quarters and add them you will get the ans.
what is the distance between (2,7) and(4,2)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]d = \sqrt{ ({2 - 4})^{2} + ({7 - 2})^{2} } [/tex]
[tex]d = \sqrt{ ({ - 2})^{2} + ({5})^{2} } [/tex]
[tex]d = \sqrt{4 + 25} [/tex]
[tex]d = \sqrt{29} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
find the lowest degree polynomial that has vertical asymptotes at x=2,3 goes through the points (-2,0), and (-3,0) and has a horizontal tangent at y=2
Answer:
is there multiple choices
Look at the list below do the numbers show a pattern? explain how you know. 11.23, 10.75, 10.3, 9.82, 9.37, 8.89
What Is the equation of the line through (2, -1) and (0,5)?
A. y = 3x + 5
B. y=-3x + 5
c. y = 3x - 5
D. y=-3x - 5
Answer:
B
Step-by-step explanation:
To find the equation, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
First, we will need to find the slope. Since we have two points, we can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (2, -1) be (x₁, y₁) and let (0, 5) be (x₂, y₂). Substitute and evaluate:
[tex]\displaystyle m=\frac{5-(-1)}{0-2}=6/-2=-3[/tex]
Therefore, the slope m is -3.
Now, we can use the point-slope form. We also need a point. Let’s use (2, -1) for consistency. So, we will substitute -3 for m and (2, -1) for (x₁, y₁). This yields:
[tex]y-(-1)=-3(x-2)[/tex]
We will now convert this to slope-intercept form. Simplify the left and distribute the right:
[tex]y+1=-3x+6[/tex]
Subtract 1 from both sides. Therefore, our equation is:
[tex]y=-3x+5[/tex]
Thus, our answer is B.
A path for a new city park will connect the park entrance to Main Street, as shown to the right. The path should be perpendicular to Main Street. What is an equation that represents the path?
Answer:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Step-by-step explanation:
To create an equation in slope-intercept form, y = mx + b, for the path, we need to find slope (m) of the path, and also determine the y-intercept (b) of the path.
First, find the slope of the main street:
Using two points on the main street, (2, 3) and (3, 5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{5 - 3}{3 - 2} = \frac{2}{1} = 2 [/tex]
Since the path would be perpendicular to the main street, therefore, the slope of the path would be the negative reciprocal of 2.
Thus, the slope of the path, m = -½.
The y-intercept of the path is the point at which the line of the path cuts across the y-axis.
The path intercepts the y-axis at y = 3. Therefore, the y-intercept (b) = 3.
Substitute m = -½, and b = 3 into [tex] y = mx + b [/tex].
✅The equation that represents the path would be:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Answer:
its y=1/2x+4 lol the other guy was 1 off
Step-by-step explanation:
What transformation happened to the parent linear function when the m is changed to 3? Parent equation: y=x. New equation y=3x
Answer:
Step-by-step explanation:
the funtion was dilated by a factor of 3 since insted or x we have 3x
I need help with this.
Answer:
C
Step-by-step explanation:
(-2,4) means that it excludes the numbers -2 and 4 from the set, but includes all the numbers in between -2 and 4!
A. this equals 4, so that's eliminated.
B. this equals -2, eliminated as well.
C. this equals 0.01! Which is in the set!
D. this equals 9.8696, WAY over 4!
The answer is C!
(side note, (-2,4) excludes -2 and 4, while [-2,4] includes -2 and 4. You can mix and match also! (-2,4] would exclude -2 but include 4, for example)
Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest?
Answer:
The rate of interest is 9%.
Step-by-step explanation:
Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 360,p = 4000,t = 1[/tex]
[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]
[tex]36000 = 4000r[/tex]
[tex] \frac{36000}{4000} = r[/tex]
[tex]r = 9[/tex]
What happens to the particles in iodine when you increase
the temperature to 200 degrees Celsius?
Answer:
When you have iodine gas at 200 degrees, the temperature and thus pressure as so high, that when cooling down you enter the liquid phase. And when some of this gas then condenses, the pressure drops. So the remaining part of the gas can sublime.
Step-by-step explanation:
Suppose a local university researcher wants to build a linear model that predicts the freshman year GPA of incoming students based on high school SAT scores. The researcher randomly selects a sample of 40 sophomore students at the university and gathers their freshman year GPA data and the high school SAT score reported on each of their college applications. He produces a scatterplot with SAT scores on the horizontal axis and GPA on the vertical axis. The data has a linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below. Sample Variable Sample standard deviation mean Variable description high school SAT score freshman year GPA x= 1504.291401 sx 105.782904 у y = 3.240805 Sy = 0.441205 r=0.506701 slope = 0.002113 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places. a =
Answer:
a = 0.0617
Step-by-step explanation:
Given That:
Relationship between GPA and SAT Scores :
Linear correlation Coefficient (r) = 0.506701
x= 1504.291401
Sx = 105.782904
y = 3.240805
Sy = 0.441205
The intercept (a) :
a = y - b(x)
b = slope of the regression line
b = r(Sy/Sx) ;
Hence,
b = 0.506701(0.441205 / 105.782904)
b = 0.506701(0.0041708)
b = 0.0021133485
Hence,
a = y - b(x)
a = 3.240805 - 0.0021133485(1504.291401)
a = 3.240805 - 3.1790919758662485
a = 0.0617130241337515
a = 0.0617
Hence, intercept = 0.0617
Choose the word that best describes the distance between two points.
A. average
B. length
C. midpoint
D. slope
Insert a picture, please.
The length of a rectangle is (2x+3) and the width is x-5. If the perimeter is 44cm what is the length of the rectangle?
Perimeter = 2x length + 2x width.
2(2x+3) + 2(x-5) = 44
Simplify:
4x + 6 +2x -10 = 44
Combine like terms:
6x -4 = 44
Add 4 to both sides:
6x = 48
Divide both sides by 6:
X = 8
Now replace x with 8 in the equation for length:
2x + 3 = 2(8) +3 = 16 + 3 = 19 cm
Length = 19 cm
1. What is the rate of change(slope) of the following linear equation x-3y = 12?
Answer:
m= 1/3
Step-by-step explanation:
Which graph represents a function!!!!???? Pls help
Answer:
The 3rd one.
Step-by-step explanation:
A function needs to have an unique x for every y, This means there can't be 2 xs for a single y. The 3rd one is the only one that satisfies this condition.
Please help me on this question too! =)
Answer:
congruent angles
Step-by-step explanation:
Because congruent angles mean when two angles have the same measure.
Answer:
number 2 is the answer............
Congruent Angles
Complete ?:44=2:11
(Please help me )
Answer:
? = 8
Step-by-step explanation:
well
x/44 = 2/11
44 is greater than 11 by 4 times. so to get an equal fraction you need to multiply 2 by 4 to get 8. that way you get 8/44 which would simplify by dividing by 4 to get 2/11
I WILL MARK BRAINLIST
Answer:
a
Step-by-step explanation:
does anyone know how to solve this?
Answer:
Scale factor is 8
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
The scale factor is 1/8.
Step-by-step explanation:
You have to make a fraction, with the first number as the drawing, and the second number as the real painting, as described on the problem. If you take one of the drawing values and the other painting value, 7 and 56, you'll get 7/56 which, if you simplify it, is 1/8. We can say that the scale factor is 1/8.
pleaseeeeeeeeeeeeeeeeee helpppppppppppppppppp
Answer:
Option c is the answer
Step-by-step explanation:
3/5 = 0.6
2 divided by 0.6 = 3.3333333
3.33333 = 10/3
10/3 = 3 1/3
Hope this helps :)
Answer:
3 1/3 or 3, depending on if he can play a fraction of a match
Step-by-step explanation:
The question is asking us how many times 3/5 can go into the whole number 2. to find this we can multiply the denominator of the fraction (5) by the whole number we are trying to get with the fraction (2), and this results in 10. if we put this over the denominator, we get 10/5, which results in 2. to find how many times 3/5 can go into 10/5, we will divide 10/5 by 3/5. this results in 3 and 1/3. so he can play 3 1/3 matches.
The figure below shows total costs for three gym memberships. Which is the most accurate statement?
if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3
Answer:
The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Step-by-step explanation:
Let X = weight of pilots.
It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.
Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:
[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]
Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?
Answer:
4:5
Step-by-step explanation:
The ratio will be 60 : 75
When simplified becomes 4:5
A submarine started at the surface of the water and
was moving down at –15 kilometers per
minute
toward the ocean floor. The submarine traveled at
this rate for 52 minutes before coming to rest on the
ocean floor. What is the depth of the ocean floor?
Answer:
The depth of the Ocean Floor is -780 kilometers
Step-by-step explanation:
The answer is -780 because -15 multiplied by 52 equals -780.
