Answer:
Our expressions is f(x) = 3|x-7|-7
in positive values |x-7| is x-7 ⇒f(x) = 3x-28in negative ones |x-7| is 7-x wich is the opposite⇒f(x) = 14-3xLet's calculate the limits in +∞ and -∞
[tex]\lim_{x \to +\infty} (3x-28)=[/tex][tex]\lim_{x \to+ \infty} 3x[/tex] = +∞ [tex]\lim_{x \to- \infty} (14-3x) = \lim_{x \to- \infty} -3x[/tex] =+∞So the right staement is B
As x approaches positive infinity, f(x) approaches negative infinity.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function f(x) = 3|x − 7| − 7 is a piecewise function, where the absolute value function has two cases depending on the sign of (x - 7).
When (x - 7) is positive, the function becomes 3(x - 7) - 7 = 3x - 28, and when (x - 7) is negative, the function becomes -3(x - 7) - 7 = -3x + 14.
As x approaches positive infinity, both cases approach negative infinity because the dominant term in each case is the linear term (3x or -3x) as x becomes large.
Therefore, the end behavior of the function is that as x approaches positive infinity, f(x) approaches negative infinity.
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Answer:
C.
Step-by-step explanation:
5/8 = 20/32
20/32 ÷ 2 = 10/16
10/16 ÷ 2 = 5/8
Answer:
C
Step-by-step explanation:
You can see that both of the numbers are being multiplied by 4/4 which gives you a proportional relationship unlike the other answers there.
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JL=25 and JM=5, find KM.
HELP ME PLEASE!!!!!!
Answer:
KM = 15
Step-by-step explanation:
From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.
Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30
Since ΔJKL and ΔJKM are similar to each other, therefore:
[tex]\frac{JK}{JL}=\frac{JM}{JK}\\ Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15[/tex]
Find all the missing angle measures. Remember you cannot assume right angles of diameters. Also think about how many degrees are in a triangle. Given: PA and BD are tangents, mCR=18*, mAC=70*, mBE=130*, and mBR=80*. What are angles 1-15
.
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Please sb help and write it down on paper then send a pic❤️
Answer:
Step-by-step explanation:
1) We would determine the cube root of 27 and find its square.
Cube root of 27 = 3
3² = 9
Solution = 9
2) 36³ = 46656
√36³ = √46656 = 216
3) we would find the 5th roof of - 243 and find its cube
5th root of - 243 = - 3
- 3³ = - 27
Solution = - 27
4) Looking at the expression, 40⅔, we can see that
a = 2
b = 3
c = 40
Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40
Step-by-step explanation:
The number of squares that are required to fill a rectangle of 512 cm by 108 cm, if each square of length 8 cm is _____________. a. 838 b. 864 c. 752 d. 440
Answer:
864
Step-by-step explanation:
512÷8=64
108÷8=13.5
64×13.5=864
Answer:
b) 864 squares
Step-by-step explanation:
A(rectangle) = 512cm x 108cm = 55296 cm²
A(square) = 8cm x 8cm = 64 cm²
Ar/As = 55296cm²/64cm² = 864 squares
Which property can be used to solve the equation? StartFraction d Over 10 EndFraction = 12 addition property of equality subtraction property of equality multiplication property of equality division property of equality
Answer:
multiplication property of equalityStep-by-step explanation:
Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;
Multiply both sides by 10
d/10 * 10 = 12*10
d = 120
It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality was used to solve the equation.
Please answer this question in two minutes
Answer:
FGH and BCD
it's obvious.
no common lines between them
For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function C of F = five-ninths (F minus 32) . What does C(F) represent?
Answer:
The answer is below
Step-by-step explanation:
A function shows relationship between variables usually between inputs (an independent variable) and outputs (a dependent variable).
C(F) = 5/9(F - 32) shows the relationship between C and F. C(F) is the temperature in degree Celsius for any temperature in Fahrenheit. This means that the function C(F) represents the conversion of temperature from Fahrenheit to degree Celsius.
Find the fourth term in the sequence defined by the following recursive formula.
t1 = 5
tn = 3tn-1 - 12
1) -75
O 2 3
3) -3
4) -21
Answer
Part 1
Step-by-step explanation:
T2=3(5)-12=3
T3=-3
T4=-21
T5=-75
PLEASE HELP, AND PLAESE EXPLAIN!!!
Answer:
D. 22.5 sq. un.
Step-by-step explanation:
W divides BU so that there is a ratio of 1;2 meaning that there are 3 parts.
That means that 3 parts is BUV; we know that one of those parts is 4.5 sq. un. so 4.5*3=13.5 sq. un. - Also 4.5*2=9 to get WUV
V is the midpoint of the line BS so that means that BUV and UVS are equal
we know that BUV is 13.5 so we multiply that by 2 to get the whole triangle
=27
The last step is to get rid of BVW which we know is 4.5
27-4.5=22.5
What is the volume of the cone with a diameter of 4ft and height 4ft round to the nearest cubic foot
Answer:
67
Step - Step - Explanation
simplify (3+ radical sign 2)(3- radical sign 2)
Answer:
using identity (a+b)(a-b) = a^2 -b^2
factorize xsquare-25
Answer:
The answer is (x + 5)(x - 5).
Step-by-step explanation:
Assuming that 25 is a perfect square so you can apply :
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
Test :
[tex](x+5)(x-5) = {x}^{2} - 5x + 5x - 25 [/tex]
[tex](x+5)(x-5) = {x}^{2} - 25 [/tex]
Answer:
[tex]\boxed{(x-5)(x+5)}[/tex]
Step-by-step explanation:
x² - 25
Factor out square.
(x)² - (5)²
Apply difference of two squares formula.
a² - b² = (a-b)(a+b)
a = x
b = 5
x² - 25 = (x-5)(x+5)
(-3 2/3)^2 (thast 3 and 2 thirds btw)
Hey there! :)
Answer:
[tex]\frac{121}{9}[/tex]
Step-by-step explanation:
We can solve this by first converting -3 2/3 to an improper fraction:
[tex]-3\frac{2}{3} = \frac{-11}{3}[/tex]
Square the fraction:
[tex](\frac{-11}{3})^{2} = (\frac{-11}{3}) * (\frac{-11}{3}) = \frac{121}{9}[/tex]
4(13) + (18 4 27)
4(10) + 4(3) + (18 + 27)
40 - 12 + (+ 27)
Answer: Associative Property: (40+(12+18)+27. Evaluate: 97
what are the soultions of 3(x-4) (2x-3)= 0 check all
Answer:
{3/2, 4}
Step-by-step explanation:
Set x - 4 = 0 and solve for x: x = 4 is a solution.
Seet 2x - 3 = 0 and solve for x: 3/2 is another solution.
What is the slope of the line? x+3y=10
Answer:
m = -1/3
Step-by-step explanation:
First, write the equation in slope-intercept form:
3y = 10 - x
y = 10/3 - x/3
y = 10/3 - 1/3x
Since our slope is the coefficient of the x term, our slope is -1/3.
Please help me I’m desperate
Answer:
The firstStep-by-step explanation:
[tex]\frac29x+3>4\frac59\\{}\quad-3\quad-3\\\\\frac29x\ >\ 1\frac59\\\div\frac29\quad \, \div\frac29\\\\x>1\frac59\div\frac29\\\\x>\frac{14}9\times\frac92\\\\x>\frac{7}1\times\frac11\\\\x>7[/tex]
That means every x wich is greater than 7
Geraldo is driving 504 miles to his grandparents’ house for the holidays. So far he has driven 21 miles in 20.3 minutes. If he continues to drive at this average rate of speed, estimate how long the entire trip will take.
Answer: about 5 hours and 3 min
Step-by-step explanation:
Answer:
about 8 hours and 7 minutes
Step-by-step explanation:
have 60 minutes divided by 20.3 minutes to find the correct ratio to find themph if the speed remained constant. It is about 2.95567 and using this number multiply to 21 to get the miles per hour. the speed is about 62.069 mph. then divide the 504 miles by the mph of the car to find how long it will take to get there. It is about 8 hours 7 minutes and 20 seconds give or take, or 8.12 hours.
I need help with this what is the answer
Answer:
5
Step-by-step explanation:
if u substitute the x's then u can see that it makes sense
ex. 5(1)+5 = 10 true
ex. 5(5)=5 = 30 true
hope this helps
Please help!!me don’t understand
Answer:
x=45
Step-by-step explanation:
the sum of straight angle=180
2x+45+x=180
3x=180-45
3x=135
x=135/3=45
Answer:
45 degree
Step-by-step explanation:
Since it is an straight line it means all of the added angles together equal 180
2x+45+x=180
3x+45=180
3x=135
x=135/3
x=45
Solve the equation below algebraically for the exact value of x. 6 − 23(x + 5) = 4x
Answer:
See below.
Step-by-step explanation:
6 - 23(x+5) = 4x
First, distribute.
6 - 23x - 115 = 4x
Reorder the terms.
6 - 115 - 23x = 4x
Subtract.
-109 -23x = 4x
Add 23x to both sides.
-109 = 27x
Divide by 27.
x = -109/27 (This cannot be simplified)
4x
10x
h = 4x
h = 10x
Step-by-step explanation:
the answer would be 40 4x 10x h = 4x
What is the simplified form of x plus 2 over x squared minus 3x minus 10⋅ x minus 3 over x squared plus x minus 12 ? (6 points) Select one: a. 1 over the quantity x minus 3 times the quantity x plus 4 b. 1 over the quantity x minus 3 times the quantity x plus 2 c. 1 over the quantity x plus 4 times the quantity x minus 5 d. 1 over the quantity x plus 2 times the quantity x minus 5
Answer:
x+2
Step-by-step explanation:
write the problem out and then understand
Please answer this question now in two minutes
Answer:
(5, -3)
Step-by-step explanation:
(-16+x)/2 = -5.5 => x=5
(4+y)/2 = 0.5 => y=-3
Will give brainliest.
Answer:
x=8
Step-by-step explanation:
Those angles are supplementary so:
140+5x=180
5x=40
x=8
What is 220% of 400? A. 88 B. 880 C. 8,800 D. 88,000
Answer:
The correct answer is B. 880
Step-by-step explanation:
220%=2.2
2.2(400)=880
Answer:
B. 880
Step-by-step explanation:
220% × 400
= 220/100 × 400
= 88000/100
= 880
9a
+ 6b
Help please
Answer:
3(3a+2b)
Step-by-step explanation:
9a+6b
3 times 3a=9a
3 times 2b=6b
Answer:
3(3a+2b)
Step-by-step explanation:
9a+6b
3²•a+(2.3)b
3(3²•a/3 +2•3b/3)
3(3²-¹ •a +2b)
3(3a+2b)
Melanie began studying a sample of the chemical element einsteinium-253 which naturally loses its mass over time. The relationship between the elapsed time, t, in days, since Melanie started studying the sample, and the total mass remaining in the sample, M(t), in micrograms, is modeled by the following function: M(t)=169⋅(0.96)^t. How much percent does the chemical element lose weight by everyday?
Answer:
The chemical element loses 4% of its weight everyday
Step-by-step explanation:
Here, we are interested in knowing the percentage weight loss of the chemical each day.
The key to answering this is looking at the expression inside the bracket.
We can express M(t) = 169•(0.96)^t as
M(t) = 169•(1-0.04)^t
So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here
Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%
Answer:
0.96
Step-by-step explanation:
The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.
The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.
Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.
Determine whether the samples are independent or dependent. upper a data set includes the morning and evening temperature for the lasta data set includes the morning and evening temperature for the last 90 days.90 days.
Answer:
Dependent sample
Step-by-step explanation:
The sample: a data set includes the morning and evening temperature for the last 90 days.
The samples are dependent in that they are paired measurements on just one set of item which is the temperature.
These measurements are related in such a way that the each observation in one sample can be paired with an observation in the other sample.