Answers
Answer:
*Replace each "x" with the required numbers .
1) g (14) ; Ans;
[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]
___o_o___
2) f (-8) ; Ans;
[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]
___o_o___
3) j (3) ; Ans;
[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]
___o_o___
4) h (4) ; Ans;
[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]
___o_o___
5) f (2.8) ; Ans;
[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]
___o_o___
6) j(-5) ; Ans;
[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]
___o_o___
7) g(3/4); Ans;
[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]
___o_o__
8) [h(6.2)]² ; Ans;
[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]
___o_o___
9) j(2) + g(-3) ; Ans;
[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]
___o_o___
10) h(1) - f(-10) ; Ans;
[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]
___________o____o__________
**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .
***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .
Table (1) Ans;
f(4) = –3
f(-2) = – 6
If f(x)= -3 ,then x = 4
If f(x) = 1 , then x = 3
___o_o___
Table (2) Ans;
f(4) = –7
f(-2) = 1
If f(x)= -3 ,then x = 0
If f(x) = 1 , then x = - 2
___o_o____
Table (3)Ans;
f(4) = 7
f(-2) = 3
If f(x)= -3 ,then x = 6
If f(x) = 1 , then x = 0
I hope I helped you^_^
Related Questions
After two semesters of course work, a student has completed 32 credit hours of course work with a grade point average of 3.15. What grade point average will the
student need to complete in order to raise their cumulative grade point average to 3.2, if the student is taking 14 credit hours of graded course work this semester
(third semester)?
Answers
Using weighed average, it is found that the student will need a GPA of 3.31.
To find a weighed average, each value is multiplied by it's weight.
For the student's average, we have that:
GPA of 3.15 with a weight of 32.GPA of x with a weight of 14.We want the mean to be 3.2, thus:
[tex]\frac{3.15(32) + 14x}{32 + 14} = 3.2[/tex]
[tex]3.15(32) + 14x = 46(3.2)[/tex]
[tex]14x = 46(3.2) - 32(3.15)[/tex]
[tex]14x = 46.4[/tex]
[tex]x = \frac{46.4}{14}[/tex]
[tex]x = 3.31[/tex]
The student will need a GPA of 3.31.
A similar problem is given at https://brainly.com/question/16233451
15/2.25(step by step 100 points and mark brainliest)
Answers
Answer:
[tex]\sf\longmapsto \: 6.666[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: \: \frac{15}{2.25} [/tex]
Or it can be written as 15÷2.25
Thus,the answer will be in decimal.
[tex]\sf\longmapsto \: 6.666[/tex]
Hello! I need help with coordinate planes in math. I don't need an explanation, because I do kind of understand it. If you don't know the answer, please don't answer it. If you have any questions about the question, please drop in a comment! Thank you!
Answers
Answer:
the first one
the third one
thats all I know but this should help I have some work to do soooo sorry big zozo ;(
Step-by-step explanation:
What is the quotation?
Answers
Answer:
the quotient is the result so 4.25
find the slope of the parabola y equals to e^(-4x) sin6x at the point P(2,4). write an equation for the tangent to the parabola at this point
Answers
The equation of the tangent line to the curve is:
[tex]y - 4 = 0.0024(x - 2)[/tex]
Which has a slope of 0.0024.
The tangent line of a curve [tex]f(x)[/tex] at a point [tex](x_0,y_0)[/tex] is given by:
[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]
In this problem, the curve is:
[tex]f(x) = e^{-4x}\sin{6x}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -4e^{-4x}\sin{6x} + 6e^{-4x}\cos{6x}[/tex]
Point P(2,4), thus [tex]x_0 = 2, y_0 = 4[/tex].
The slope is:
[tex]f^{\prime}(2) = -4e^{-4(2)}\sin{6(2)} + 6e^{-4(2)}\cos{6(2)} = 0.0024[/tex]
Then, the equation of the line is:
[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]
[tex]y - 4 = 0.0024(x - 2)[/tex]
A similar problem is given at https://brainly.com/question/22426360
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + y = 2
–5x - 5y = -10
Answers
Step-by-step explanation:
The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.
5(x + y) = 2(5)
-5x - 5y = -10
---> 5x + 5y = 10
-5x - 5y = -10
---> 0 = 0
As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.
Simplify each radical 1-4
Answers
Answer:
1- H , 2- B , 3- A , 4- F
Step-by-step explanation:
Just simplify and you will get the answer.
Goodluck
Solve for t in 2^t²- t= 4
Answers
Answer:
t= -1/2 ,t=4
Step-by-step explanation:
2t^2- t -4 =0
2t^2 - 8t+t -4=0
(we have to find the factor here. I have used The Product Sum method of factorization)
2t( t-4) + 1( t-4)=0
(2t+1) (t-4)=0
t= -1/2 ,t=4
Find the missing factor A that makes the equality true
8x 3 =(−2x)(A)
Answers
Algebra 2 Need help with b
Answers
Answer:
a. was incorrect a = -0.109569028 so...
y = -0.109569028(x + 7)² + 54
b. It's been the above vertex equation for a parabola then
set y = 40 equal to the parabolic equation, we get
40 = -0.109569028x² - 1.533966392x + 48.631117628
solve for x we get
x = -18.3036867393939 or ~ 18.3 feet
Step-by-step explanation:
y = a(x - h)² + k
(h, k) = vertex = (-7, 54)
x = h is the axis of symmetry -7
y = a(x -(-7))² + 54
y = a(x + 7)² + 54
solve for a by inputting the point (15.2, 0)
0 = a(15.2 + 7)² + 54
-54 = a(22.2)²
-54 = 492.84a
a = -54/492.84
a = -0.109569028
Help me with this math, please!! <3
Answers
The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), where t is measured in years. Find the equation to model the population and determine its initial value.
P = 5t +100 where P(0) = 100
P = 1/50 In(0.1t)+20
P = 1/500e^t + 20
P = 1/50e^0.1t + 20
Answers
Using the inverse function, it is found that the equation is:
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is 20.
---------------------------
We want to find the inverse of:
[tex]y = P^{-1}(t) = 10\ln{50t - 1000}[/tex]
To do this, we exchange y and t, and isolate y.
Then:
[tex]10\ln{50y - 1000} = t[/tex]
[tex]\ln{50y - 1000} = \frac{t}{10}[/tex]
[tex]e^{\ln{50y - 1000}} = e^{0.1t}[/tex]
[tex]50y - 1000 = e^{0.1t}[/tex]
[tex]50y = e^{0.1t} + 1000[/tex]
[tex]y = \frac{e^{0.1t} + 1000}{50}[/tex]
[tex]y = \frac{e^{0.1t}}{50} + \frac{1000}{50}[/tex]
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is:
[tex]P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02[/tex]
Rounding, 20.
A similar problem is given at https://brainly.com/question/23950969
Answer:
P = 1/50e^0.1t + 20
Step-by-step explanation:
Explain why every square is a quadrilateral. Choose the correct answer below.
A.Every square is a quadrilateral because it is a polygon in which opposite angles have the same measure.
B.Every square is a quadrilateral because it is a polygon with exactly one pair of parallel sides.
C.Every square is a quadrilateral because it is a four-sided polygon.
Answers
To be a quadrilateral the shape just needs to have 4 edges (sides) and 4 vertices (angles). Answer A would be incorrect because the angles opposite to each other so not have to have the same measure. Answer B would be incorrect because you do not have to have parallel sides to be considered a Quadrilateral.
Need helpppppppppppppppppp
Answers
Answer:
46.3
Step-by-step explanation:
Mean is the average of all values. You add all the values on the table and divide them by the amount of values (here there are 10 land animals so you would divide by 10).
[tex]\frac{70+61+50+48+45+43+40+39+35+32}{10} =\frac{463}{10} = 46.3[/tex]
simplify the expression shown
A:-xy+3y
B:xy+3y
C:-xy-3y
D:xy-3y
Answers
Answer:
C:-xy-3y is the answer your welcome
How much money will be in an account at the end of 6 years if $8000 is deposited at 7% interest compounded 2 times per year? Assume no deposits or withdrawals are made. HELPPPPPPPPPPPP
Answers
Answer:
$12,088.55
Step-by-step explanation:
$8000(1+(0.07/2))^(2*6)
$8000(1.035)^(2*6)
$8000(1.51106865)
$12088.5492 - exact
$12088.55 - real
10 - 2(3p - 6)
How do I evaluate this?
Answers
Answer:
−6+22
Step-by-step explanation:
1. Distribute
10−2(3−6)
10−6+12
2. Add the numbers
10- 6+12
22-6
3. Rearrange Terms
22+6
-6+22
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
Answers
Answer:
w=-1
Step-by-step explanation:
Algebra.
Answer:
w = - 1Step-by-step explanation:
–1.01 = 1.4(w + 2) − 2.412.41 - 1.01 = 1.4(w + 2)1.4 = 1.4(w + 2)w + 2 = 1w = 1 - 2w = - 1Which of these is the smallest number?
A. 1 1/2 ( one and one over two)
B. 1/3
C. 1 1/10 (one and one over ten)
D. 1/4
E. 1/2
Answers
Answer:
B this is the smallest number
solve for y, 10x-4y=24
Answers
Answer:
y=-2.5x-6 is the answer
What is
19
21
as a decimal rounded to 3 decimal places?
Answers
Worth 35 points and Ill give brainliest to corrects answer Please help!
1. Which statement best represents how structure relates to function?
A. The average dog can learn approximately
B. Oppsable thumbs in humans and certain other animales for fine control of gripled objects.
C. Fruit flies live for only 40 to 50 days. D. Robins build nests in trees.
2. who is studying a newly discovered animal, a scientist observes that the animal chance to have one or two Offspring at a time only once or twice per year.
Which type of life history does this animale use?
A. R-Strategy
B. K-Strategy
C. Logistic growth
D. Asexual reproduction
Answers
Answer:
The
Answer
for
1
might
be
B
and
answer
for
number
2
is
c
I
think
What is the answer can you hello me
Answers
Answer:?
Step-by-step explanation:
?
How do you plot a fraction on a graph that only allows whole numbers?
Answers
Answer:
Depends, rise over run could be considered a fraction, or if it's a number that has a whole number like one and 3/4 then you just plot the point to the best of your ability. In other words guess.
I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!
Mark this as Brainliest if you get a chance:)
Which equations are correct?
Select each correct answer.
6a^5(6a^5)=36a^25
6b^4(−3b^4)=−18b^8
5x^4(4x^2)=20x^6
3z^7(4z^2)=12z^9
Answers
Plot the graph of the linear equation. 3x-2y=6
Answers
Answer:
First point : (0, -3)
Second point : (2, 0)
Y-intercept : -3
Step-by-step explanation:
To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.
1.) 3x - 2y = 6
2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)
3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)
Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.
1.) 3x - 2(-3) = 6
2.) 3x + 6 = 6 (multiply (-2) and (-3))
3.)3x = 0 (subtract 6 on both sides using inverse operations)
4.) x = 0
Now you have your first point which is (0, -3)!
To get your last point, just substitute your y coordinate from the original equation to get x.
1.) 3x - 2(0) = 6
2.) 3x - 0 = 6
3.) 3x = 6
4.) x = 2
Then, substitute the x coordinate from above in the original equation to get the y coordinate.
1.) 3(2) - 2y = 6
2.) 6 - 2y = 6
3.) -2y = 0
4.) y = 0
Second coordinate : (2, 0)
I hope this explanation was helpful!
What is 7 ⅖ decreased by 4 4/5 ?
Answers
Answer:
2 3/5
Step-by-step explanation:
7 2/5 decreased by 4 4/5, Is the same as 7 2/5 - 4 4/5, which equals to 2 3/5.
What is the function of this graph ?
Answers
Answer:
awedawedwadddddddddddddddddddddddddddddddd
Step-by-step explanation:
awedwadawaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
8.) Sophia counter offered with $35,000 for 25% of her company, How much does
she think her company worth? (Hint, Use a proportion to find what 100% of her
company is worth)
% 25%-100%
$ 35,000
Answers
Answer: $ 140,000
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
Answers
Answer:
5:1
Step-by-step explanation:
The ratio in this case is inches to yards so it would be 5 inches to 1 yard