Answers
Answer:
option B
Step-by-step explanation:
[tex]f(x) = 2x^2 + 6x -4\\\\g(x) = 5x^3 - 6x^2 - 3\\\\(f + g)(x) = f(x) + g(x) \\\\[/tex]
[tex]= (2x^2 + 6x - 4) + ( 5x^3 -6x^2 - 3) \\\\= 2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3\\\\= 5x^3 + 2x^2 - 6x^2 + 6x - 4 - 3 \\\\= 5x^3 - 4x^2 + 6x - 7[/tex]
Answer:
the answer is b
Step-by-step explanation:
hope this helps :)
Related Questions
Analyze the graph below and complete the instructions as follows.
Answers
Answer:
Option A:
x^2 + (y - 2)^2 = 9
Step-by-step explanation:
We know that the equation for a circle centered in the point (a, b) and of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
So the first thing we need to find is the center of the circle.
We can see that the center is at:
x = 0
y = 2
Then the center is at the point (0, 2)
Now we want our circle to pass through point 2, located at a distance of 2 units from the radius of the first circle.
So the distance between the center and point 2 is 2 units plus the radius of the smaller circle:
And the radius of the smaller circle is one unit.
Then, the radius of a circle centered at (0, 2) that passes through point 2 is:
R = 1 + 2 = 3
Then we have a circle centered at (0, 2) and of radius R = 3
Replacing these in the equation for a circle we get:
(x - 0)^2 + (y - 2)^2 = 3^2
x^2 + (y - 2)^2 = 9
The correct option is A
Evaluate the given equation for the indicated function values. pls help
Answers
Answer:
The answer in each numeral is:
f(4) = 28f(10) = -19f(-5) = -33f(9) = -9Step-by-step explanation:
To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:
1. f(n) = 5n + 8 f(4) = ?As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:
1. f(4) = 5*(4) + 8f(4) = 20 + 8f(4) = 28The first answer is 28, now we'll continue with the next exercises:
2. f(n) = -2n + 1f(10) = -2*(10) + 1f(10) = -20 + 1f(10) = -193. f(n) = 6n - 3f(-5) = 6*(-5) - 3f(-5) = -30 - 3f(-5) = -334. f(n) = -nf(9) = -9In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals
Answers
Answer:
One leg: 3
So, the hypo: 2*3 = 6
And the third is according to the formula for right angle triangles: a^2 + b^ = c^2
So: √9+36= c
6.7 to get an exact number round it: 7
Answer:
sides are √3 ft,2√3 ft,3 ft
Step-by-step explanation:
let one leg=x
length of hypotenuse=2x
third side=3 ft
(2x)²=x²+3²
4x²-x²=9
3x²=9
x²=9/3=3
x=√3 ft
hypotenuse=2√3 ft
What is tan 0 when csc 0= 2/3
Answers
Answer:
[tex]\tan{\theta} = \frac{\sqrt{11}}{11}[/tex]
Step-by-step explanation:
Cosecant:
The cosecant is one divided by the sine. Thus:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
Tangent is sine divided by cosine, so we first find the sine, then the cosine, to find the tangent.
Sine and cosine:
[tex]\sin{\theta} = \frac{1}{\csc{\theta}} = \frac{1}{2\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3}}{6}[/tex]
[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]
[tex]\cos^{2}{\theta} = 1 - \sin^{2}{\theta}[/tex]
[tex]\cos^{2}{\theta} = 1 - (\frac{\sqrt{3}}{6})^2[/tex]
[tex]\cos^{2}{\theta} = 1 - \frac{3}{36}[/tex]
[tex]\cos^{2}{\theta} = \frac{33}{36}[/tex]
First quadrant, so the cosine is positive. Then
[tex]\cos^{2}{\theta} = \sqrt{\frac{33}{36}} = \frac{\sqrt{33}}{6}[/tex]
Tangent:
Sine divided by cosine. So
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}} = \frac{\frac{\sqrt{3}}{6}}{\frac{\sqrt{33}}{6}} = \frac{\sqrt{3}}{\sqrt{33}} = \frac{\sqrt{3}}{\sqrt{3}\sqrt{11}} = \frac{1}{\sqrt{11}} \times \frac{\sqrt{11}}{\sqrt{11}} = \frac{\sqrt{11}}{11}[/tex]
The answer is:
[tex]\tan{\theta} = \frac{\sqrt{11}}{11}[/tex]
Graph the Image of AKLM after a translation 1 unit left and 7 units up.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Pick a point (such as K, L, or M). Count one grid square to the left and 7 up. That is its new location.
in a club there are seven women and five men. A committee of 3 women and 2 men as to be chosen. how many different possibilities are there?
Answers
Answer:
Step-by-step explanation:
What is a number divided by 3
gives a remainder of 1, divided by 4
gives a remainder of 2, divided by
5 gives a remainder of 3?
Answers
Answer:
58
Step-by-step explanation:
58/3 gives a remainder of 1
58/4 gives a remainder of 2
58/5 gives a remainder of 3
Having trouble with these questions, please help.
Answers
99.7 % random variable values are between
±
three standard deviation.
95 % random variable values are between
±
two standard deviation.
68 % random variable values are between
±
one standard deviation. There you go!
Answer:
(a)=50%(b)=2.1and(c)=16.1
Step-by-step explanation:
Hope this helps
Which function is graphed?
Answers
Answer:B
Step-by-step explanation:
This is the only possible answer trust me
What is the length of leg s of the triangle below?
459
872
90+
45
A. 8
B. v
C. 8-12
D. 4.2
E. 1
F. 2
Answers
Answer:
option A
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] = s/[tex]8\sqrt{2}[/tex]
[tex]\frac{1}{\sqrt{2} } *8\sqrt{2}[/tex] = s
root 2 and root 2 gets cancel
8 = s
f(x) = 4 - 2x – 2x3
g(x) = x² + 7x-9
Find f(x) + g(x).
Answers
Answer:
-2x^3+x^2+5x-5
Step-by-step explanation:
f(x) = 4 - 2x – 2x^3
g(x) = x² + 7x-9
f(x) + g(x)=4 - 2x – 2x^3+ x² + 7x-9
Combine like terms
f(x) + g(x) = -2x^3+x^2+5x-5
find the value of c to the nearest tenth
Answers
9514 1404 393
Answer:
x ≈ 9.3
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(50°) = 6/x
Solving for x gives ...
x = 6/cos(50°) ≈ 9.3343
x ≈ 9.3
__
There is no 'c' to find the value of.
Answer:
x ≈ 9.3
Step-by-step explanation:
Since , this is right triangle, we can use trigonometry functions;
cos θ = Adjacent side / Hypotenuse
Where, θ = 50°
Hypotenuse = xAdjacent side = 6Solve for x
cos 50° = 6 / x
Multiply both side by x
cos 50° × x = 6 / x × x
cos 50° × x = 6
divide cos50° by both sides
cos 50° / cos 50° × x = 6 / cos 50°
x = 6 / cos 50°
x ≈ 9.33434296
Nearest tenth :- x ≈ 9.3
What is 15 5/7 - 6 4/5
Answers
Answer:
8.9
Step-by-step explanation:
15.71428571-6.8=8.914285714
We round of to one significant figure because its addition n the lowest is 6.8
Answer:
[tex]8\frac{32}{35}[/tex]
Step-by-step explanation:
Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either.
A 4-column table with 3 rows. The first column has no label with entries likes mountain bikes, does not like mountain bikes, total. The second column is labeled liking touring bikes with entries a, c, 70. The third column is labeled does not like touring bikes with entries b, 5, e. The fourth column is labeled total with entries 47, d, 80.
What are the correct values of a, b, c, d, and e?
a = 42, b = 28, c = 33, d = 5, e = 10
a = 42, b = 5, c = 28, d = 33, e = 10
a = 5, b = 42, c = 28, d = 10, e = 33
a = 5, b = 10, c = 28, d = 33, e = 42
Answers
Answer: Choice B
a = 42, b = 5, c = 28, d = 33, e = 10
====================================================
Explanation:
Refer to the diagram below. We have a table of values in which some values (if not most) are unknown. We have variables as placeholders until we can figure out which numbers replace them.
Along the bottom row, we see that 70+e = 80, which solves to e = 10. I subtracted 70 from both sides.
That must mean the answer is between choice A or choice B.
--------------------------
Since e = 10, and b+5 = e (third column), we can replace the 'e' with 10 to get the equation b+5 = 10. That solves to b = 5. This rules out choice A.
The final answer is choice B
---------------------------
If you want to keep going to find a, c and d, then let's solve a+b = 47 which is the same as a+5 = 47 after replacing letter b with 5.
a+5 = 47 solves to a = 42 after subtracting both sides by 5.
Then along the first column, we see that a+c = 70 which is the same as 42+c = 70. Isolating c gets us c = 28
Lastly, c+5 = d is shown along the second row. Plug in c = 28 to find that d = c+5 = 28+5 = 33
So overall we have:
a = 42, b = 5, c = 28, d = 33, e = 10
Answer:
b is correct
Step-by-step explanation:
Can someone help me please???!
Answers
Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
Which is the graph of the function y = 3x?
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The graph that includes the point (1, 3) will be the one that is a graph of ...
y = 3^x
Which of the following best represents the relationship between functions f and g?
g(x) = -f(x) - 1
g(x) = f(x - 1)
g(x) = -f(x) + 1
g(x) = -f(x)
Answers
9514 1404 393
Answer:
(c) g(x) = -f(x) +1
Step-by-step explanation:
We really only need to consider one point on f(x) and/or g(x). We can look at the y-intercepts.
f(0) = 4 and g(0) = -3
Looking at the answer choices, we see ...
A. -f(0) -1 = -4 -1 = -5 ≠ g(0)
B. f(0 -1) = f(-1) = 1 ≠ g(0)
C. -f(0) +1 = -4 +1 = -3 = g(0) . . . . . matches requirements
D. -f(0) = -4 ≠ g(0)
The relation between f(x) and g(x) is g(x) = -f(x) +1.
Help me with this question
Answers
Answer:
D. The graph of g(x) is the graph of f(x) compressed vertically and then reflected over the x axis.
Step-by-step explanation:
A function shows the relationship between two or more variables.
If a function y = f(x) is reflected over the x axis, the x coordinate remain unchanged, but the y coordinate is negated. Hence the function y = f(x) becomes y = -f(x).
A function y = f(x) is compressed or stretched vertically by a factor k to give y = kf(x). If 0 < k < 1, the function is vertically compressed whereas if k > 1, the function is vertically stretched.
Given the function f(x) = x², the function is vertically compressed by a factor of 2/3 to form a function f(x)' = (2/3)x². The function is then reflected over the x axis to produce a function g(x) = (-2/3)x²
Find the investment value when compounded anually.
P = $120,000, r= 5.3%, t = 8 yr
Answers
Given:
[tex]P=\$120,000[/tex]
[tex]r=5.3\%[/tex]
[tex]t=8\text{ years}[/tex]
To find:
The value of the investment when the interest is compounded annually.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is the principal, r is the rate of interest in decimal, n is the number of time interest compounded in an years, and t is the number of years.
The interest is compounded annually. So, [tex]n=1[/tex].
Substituting [tex]P=120000, r=0.053, n=1, t=8[/tex] in the above formula, we get
[tex]A=120000\left(1+\dfrac{0.053}{1}\right)^{1(8)}[/tex]
[tex]A=120000\left(1.053\right)^{8}[/tex]
[tex]A=181387.85936[/tex]
[tex]A\approx 181387.86[/tex]
Therefore, the value of the investment after 8 years is $181,387.86.
Please help me I am confused and i will give you anything you want just help me. SOS
Answers
Answer:
hope it helps you..........
find the surface area of the composite figure
Answers
Answer:
[tex]=280[/tex] [tex]in^2[/tex]
Step-by-step explanation:
----------------------------------------
Let's find the surface area of the pink rectangular prism first.
[tex]2*10=20+20=40[/tex]
[tex]4*10=40+40=80[/tex]
[tex]4*2=8+8=16[/tex]
[tex]40+80+16=136[/tex]
The surface area for the pink rectangular prism is [tex]136[/tex] [tex]in^2[/tex].
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.
[tex]4*7=28+28=56[/tex]
[tex]4*7=28+28=56[/tex]
[tex]4*4=16+16=32[/tex]
[tex]56+56+32=144[/tex]
The surface area for the green rectangular prism is 144 [tex]in^2[/tex].
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.
[tex]136+144=[/tex]
[tex]=280[/tex] [tex]in^2[/tex]
----------------------------------------
Hope this is helpful.
9514 1404 393
Answer:
224 in²
Step-by-step explanation:
There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.
The area of a prism is ...
A = 2(LW +H(L+W))
Pink area:
A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches
Green area:
A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches
One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...
SA = 136 in² +144 in² -56 in² = 224 in²
Which of the data sets below has a mean of 48? Select all that apply.
A) 51, 53, 43
B) 24, 91, 18, 65, 52
C) 65, 18, 72, 33, 52
D) 72, 18, 56, 46
Answers
someone pls help ill give you a kiss and a cookie fi you help meee
for the point (6,8) find the csc theta and sec theta
Answers
Answer:
cscθ = 5/4, secθ = 5/3
Step-by-step explanation:
First, let's view the drawing that I have attached, with the dot in the bottom left representing the origin. We know that cosecant and secant are the reciprocals of sin and cos respectively, and in order to find sin and cos, we must find the opposite, adjacent, and hypotenuse sides. The hypotenuse is opposite the right angle, equal to √(8²+6²) = 10
Next, we can find sin and cos of θ . sinθ = 8/10=4/5, making cscθ the reciprocal of 4/5, or 5/4
Similarly, cosθ = 6/10=3/5, and secθ = 5/3
7/7q+21= x /5q^2-45 then x=?
Answers
Answer:
x = 5q - 15
Step-by-step explanation:
[tex]\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15[/tex]
a country’s population in 1990 was 123 million in 2002 it was 128 million
Answers
Answer:
whats the question
Step-by-step explanation:
Rationalize the denominator of the fraction and enter the new denominator below.
Answers
Answer:
7/19
Step-by-step explanation:
7/19=square root of 11=22-3 19
plsssss help it’s timed!!!!!!
Answers
Answer:
the answer to this question is 36.86989°
If the coordinates of a point p(m-3 , -6) = p(-7 , -6), then find the value of m .
Answers
Answer:
[tex]m =-4[/tex]
Step-by-step explanation:
Given
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
Required
Find m
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
By comparison:
[tex]m-3 = -7[/tex]
Add 3 to both sides
[tex]m = -7+3[/tex]
[tex]m =-4[/tex]
Solve the inequality –8 < x – 14.
Answers
Answer:
x=6
Step-by-step explanation:
Answer:
Interval Notation:
(6,∞)
Inequality Form:
x>6
there ya go
Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and dz. and with an objective function gradient e such that cx1 =4, cx2 = 6, cx3= 6, cx4=3, cd1= 0, cd2=0, and cd3=2. Characterize the set of alternative optimal solutions to this problem.
Answers
Answer:
Set of alternative optimal solution : 0 ≤ z ≤ 1.5
Hence There will be an infinite set of Alternative optimal solution
Step-by-step explanation:
considering Cx1 = 4
∴ C = 4 / x1
Cx2 = 6
∴ 4x2 - 6x1 = 0
2x2 - 3x1 = 0 ------ ( 1 )
considering Cx3 = 6
C = 6/x3
Cx4 = 3
∴ (6/x3) x4 - 3 = 0
= 2x4 - x3 = 0 ---- ( 2 )
attached below is the remaining part of the solution
set of alternative optimal solution : 0 ≤ z ≤ 1.5
There will be an infinite set of Alternative optimal solution
