Answer:
-2-h
Step-by-step explanation:
It doesn't hurt to follow directions.
[tex]q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}[/tex]
__
Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.
"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?
Answer:
[tex]y=\frac{15\sqrt{3} }{4}[/tex]
Step-by-step explanation:
Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)
As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:
[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}[/tex] (we know that a+b = 15), hence the equation becomes:
[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{15}[/tex] ----------eq 1
If we consider the largest triangle, we will see that
cos 30° = z / 15
but from our special angles (see second attachment) we know that cos 30° = (√3)/2
hence
(√3)/2 = z / 15
z = (15√3) / 2 --------eq 2
from the same largest triangle, we will also see that
sin 30° = x / 15
similarly from our special angles, we know that sin 30° = 1/2
hence,
1/2 = x/15
x = 15/2 --------eq 3
now that we have values for x and z, we can neglect the first term of equation 1 and form an equality with x, y and z
[tex]\frac{y}{x} = \frac{z}{15}[/tex]
[tex]y = x\frac{z}{15}[/tex] (substituting the values for x and z that we found above)
y = (15/2) · [ (15√3) / 2] / 15
y = (15√3) / 4
[tex]y=\frac{15\sqrt{3} }{4}[/tex]
Please helpppp.
Name the property of it then simplify.
7+n=7+3
Answer:
I got u
Solve for n by simplifying both sides of the equation, then isolating the variable.
n=3
Step-by-step explanation:
Answer:
communitative property
n=3
what is -5 considered as
Determine whether f(x) = 3x + 1 and g(x) = (x-1) / 3 are inverses functions. Group of answer choices There are not inverses since both composition equal x. There are inverses since both composition equal x. There are inverses since both composition equal x + 1. There are not inverses since (f (g(x)) = x + 1
Answer:
They are inverses since both composition equal x.
Step-by-step explanation:
Given the functions, f(x) = 3x + 1 and g(x) = (x-1) / 3, to check if they are inverses functions, we are to find the inverse of one of the function and check if it will give us the other function.
Let's look for the inverse of f(x).
Given f(x) = 3x+1
Let y = f(x) so that y = 3x+1
Replace y with x
x = 3y+1
Make y the subject of the formula of the resulting equation;
3y = x-1
y = (x-1)/3
The new function of x will be the inverse of f(x)
Hence f^-1(x) = (x-1)/3 = g(x)
Another way to check is to find their composition. Let's find f(g(x) and g(f(x)
F(g(x)) = f((x-1)/3)
Replace x with (x-1)/3 in f(x)
F(g(x)) = 3[(x-1)/3]+1
F(g(x)) = x-1+1
F(g(x)) = x
Similarly for g(f(x));
g(f(x)) = g(3x+1)
Replace x in g(x) with 3x+1
g(3x+1) = (3x+1-1)/3
g(3x+1) = 3x/3
g(3x+1) = x.
Since g(f(x)) = f(g(x)) = x, hence f(x) and g(x) are Inverses functions
2(x+y) = 2x + 2y
what property is this
Answer:
Distributive Property.
Step-by-step explanation:
You distribute the 2 to each of the terms.
rachel is setting up for her birthday . rachel wants to put the same number of chairs around each table . how many chairs will rachel place around each table at her birthday party ?
choices
3
4
5
6
Answer:
6 chairs around each table
Step-by-step explanation:
just did it
A zoo has 15 Emperor penguins. The Emperor penguins make up 30 percent of all the penguins at the zoo. how many penguins does the zoo have?
Answer:
50 penguins
Step-by-step explanation:
Let the total number of penguins = x
30% of x = 15
[tex]\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50[/tex]
Answer:
50
Step-by-step explanation:
15 x 100 equals 1500
1500 divided by 30 equal 50
Hopefully this helps you :)
pls mark brainlest ;)
You buy 2 pairs of shoes for $14 each. You give the cashier $29. Which of the following is a good estimation of the change you will get back?
Answer:
Hey there!
A good estimation is one dollar.
2 pairs of shoes for 14 dollars= 28 dollars
29-28=1 dollars.
Hope this helps :)
what kind of number is -18 and explain why it is
Answer:
Step-by-step explanation:
-18 is a integer because it has negative sign
☽------------❀-------------☾
Hi there!
~
-18 is an integer number because of the " - " sign. I hope the picture will explain why -18 is an integer number!
❀Hope this helped you!❀
☽------------❀-------------☾
Consider the following exam question and student solution. Determine whether the solution is correct. If it is not correct, write a note to the student explaining why it is wrong and give a correct solution. Exam question: You can buy a 56 pound bag of flour for $9 or you can buy a 1-pound bag for .39 cents. Compare the per pound cost for the large and small bags. Student solution: The large bag price is 56 divided by 9=6.22 per pound, which is much more than the 39 cent per pound price of the small bag.
Answer:
actually a 56 pound bag cost =9
so one pound bag cost =9/56=0.16 cents
Step-by-step explanation:
Help me pleaseee
The bottom number is a 4 btw it’s 20 points ❤️
Answer: It is 20 m, multiply each number by 1.25
Write in standard form.
2.87 x 104
A.28,700
B. 0.000287
C. 2,870
D. 287,000
The general form of the number is 28,700. The correct option is A.
What is a standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
The given number is 2.87 x 10⁴. The general form of the number can be written as:-
2.87 x 10⁴ = 2.87 x 10000
2.87 x 10⁴ = 28700
Multiply 2.87 by 10000 we will get the general form 28700 for the number.
Therefore, the general form of the number is 28,700. The correct option is A.
To know more about the standard form of the number follow
https://brainly.com/question/17136267
#SPJ5
find the area of a rectangle that has a length of 8 inches and a width of 9 inches
Answer:
72in
Step-by-step explanation:
area=length x width
a=8x9
Use completing the square to solve for x in the equation (x + 7) (x minus 9) = 25.
Answer:
x=1+/- the square root of 89
Answer:
x=1+ (square root of 89)
Step-by-step explanation:
Factor the given polynomial.
9z^2 +15z +4
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. 9z^2 +15z +4=
B.The polynomial is prime.
Answer:
(3z + 1)(3z + 4)
Step-by-step explanation:
[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]
44. Find the total area of the shaded rectangles.
9
х
х
2

Answer:
(x² + 18) units²
Step-by-step explanation:
Area of a rectangle = l*w
There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.
Below are the dimensions and area if each of them:
Rectangle 1 (small shaded rectangle):
l = x
w = x
Area = x * x = x² units²
Rectangle 2 (bigger shaded rectangle):
l = 9
w = 2
Area = 9*2 = 18 units²
Total area of the shaded rectangles = x² + 18 = (x² + 18) units²
Which single transformation can be applied to the graph of y = 72Vx to produce the graph of y = 9Vx?
Answer:
Horizontal compression
Step-by-step explanation:
Just took a test
Answer: horizontal compression
Step-by-step explanation:
Edge
What is the value of f^-1(0)?
Please help! It’ll be greatly appreciated!
Answer:
[tex]f^{-1}(0)=6[/tex]
Step-by-step explanation:
So, we have the graph y=f(x).
And we want to find:
[tex]f^{-1}(0)[/tex]
Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:
[tex]f^{-1}(0)=y[/tex]
This means that we have the point:
[tex](0,y)[/tex]
So, to find our solution, we will swap the x- and y-coordinates. This gives us:
[tex](x,0)[/tex]
So, simply need to find the x-coordinate such that y is 0.
From our graph, we can see the point (6,0). In other words:
[tex]f(6)=0[/tex]
So:
[tex]f^{-1}(0)=6[/tex]
And we're done!
25 pts
Question 5
25 points
Jack and Jill went to the grocery store. They purchased 2 packages of
hamburger buns for $1.10 per package, one pound of hamburger meat for
$3.79, and 3 bottles of soda for $0.95 per soda. If Jack and Jill split the bill
evenly, then how much money did each person pay?
Answer:
$4.42!
Step-by-step explanation:
Just add all the prices together then divide by 2!
$1.10 * 2 + $3.79 + $0.95 * 3 = $8. 84
$8.84 ÷ 2 = $4.42!
r/4 - 1.4 =1.58 what should be the first step?
Answer:
R/4 - 1.4 =1.58
R/4 = 1.58 + 1.4
R/4 =2.98
r=11.92
Step-by-step explanation:
write in algebraic expression 15 less than the product of 2 and r
Answer:
2r - 15
Step-by-step explanation:
product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha
The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.
It is given that the expression is, "15 less than the product of 2 and r."
Let the expression is equated to x in order to represent,
x=15 less than the product of 2 and r
x=2r-15
Thus, the algebraic expression will be 2r-15.
Learn more about the expression here:
brainly.com/question/14083225
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Find the size of an angle which is four times its complement.
Wha t is the surface area of the square pyramid represented by the net below
Question
112
48
64
96
Answer:64
Step-by-step explanation:multiply the two numbers
7. Chantel Monroe charges $3.75 per page for typing rough drafts and an
additional $0.50 per page for changes and deletions. A manuscript had
212 pages, of which 147 pages had changes and deletions. What was
the total cost of typing the manustript?
answer
212 - 147 = () times 3.75
147 × 4.25 =
add them together and that's the total amount
18. f-g4, if f =3 and g = -5=
Answer:
23
Step-by-step explanation:
Step 1:
3 - -5 (4)
Step 2:
3 - (-20)
Step 3:
3 + 20
Answer:
23
Hope This Helps :)
Which of the following is most likely the next step in the series
Answer:
The answer is C
Step-by-step explanation:
You have to find the pattern, in this case it's 4,5,6, then 7
Hope this helps! :)
Answer:
its actualy D
Step-by-step explanation:
PLEASE HELP PRECALC WHAT IS THE SECOND ROW MULTIPLIED BY?
Answer:
the answer is .5 i think
Simplify
(2x– 3) (5x4 – 7x3 + 6x2 – 9)
A. 10x5 – 29x4 + 33x3 - 18x2 18x + 27
B. 10x5 - x4-9x3 – 18x2 -18x - 27
C. 10x5 + 29x4 – 33x3 + 18x2 + 18x - 27
D. 10x5 + x4 + 33x3 + 18x2 + 18x + 27
Answer: (A)=10x5−29x4+33x3−18x2−18x+27
Step-by-step explanation:
How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!
=(2x+−3)(5x4+−7x3+6x2+−9)
=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)
=10x5−14x4+12x3−18x−15x4+21x3−18x2+27
=10x5−29x4+33x3−18x2−18x+27
Answer:
=(2x+−3)(5x4+−7x3+6x2+−9)
=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)
=10x5−14x4+12x3−18x−15x4+21x3−18x2+27
=10x5−29x4+33x3−18x2−18x+27
Step-by-step explanation:
please solve as fast as possible...
No spams please......
Answer:
In ∆ABD and ∆ACD
<BAD =<CAD ( each are half of <A )
<D=<D ( each equal to 90°)
AD = AD ( common)
So ∆ ABD is congruent to ∆ ACD.
Then AB =AC (by C.P.C.T)
Hence,∆ABC is an iso - sceles triangle.
What is the direction (angle) of the resultant vector?
Rx = -419
Ry = -253
R = 490
θ = ____ ° counterclockwise from the +x-axis
Answer:
[tex]\theta = 148.8[/tex]
Step-by-step explanation:
Given
[tex]R_x = -419[/tex]
[tex]R_y = -253[/tex]
[tex]R = 490[/tex]
Required
Determine the value of [tex]\theta[/tex]
Since, [tex]\theta[/tex] is counter clockwise from x axis;
The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is
[tex]cos\theta = \frac{R_x}{R}[/tex]
Substitute values for Rx and R
[tex]cos\theta = \frac{-419}{490}[/tex]
[tex]cos\theta = -0.8551[/tex]
Take arccos of both sides
[tex]\theta = cos^{-1}(-0.8551)[/tex]
[tex]\theta = 148.770784108[/tex]
[tex]\theta = 148.8[/tex] (Approximated)