Hence, the function increases at a constant multiplicative rate..
What is a function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). A function has three parts, a set of inputs, a set of outputs, and a rule that relates the elements of the set of inputs to the elements of the set of outputs in such a way that each input is assigned exactly one output.
How to solve?We know,
the answer is (B) the function increases at a constant multiplicative rate.
to learn more about functions: https://brainly.com/question/25638609
#SPJ4
Which statement about the function represented by this graph is true? A curve rises from (0, 2), (2, 3 point 9), (4, 4), (5, 4 point 1), (6, 4 point 9), (8, 5), (9, 5), and (10, 5) on the x y coordinate plane. A. The function has an inverse because it passes the vertical line test. B. The function does not have an inverse because it does not pass the horizontal line test. C. The function does not have an inverse because it never crosses the x-axis. D. The function has an inverse because it passes the horizontal line test.
The true statement about the function which is represented by this graph is: D. the function has an inverse because it passes the horizontal line test.
What is the horizontal line test?The horizontal line test states that if the graph of function (f) is intersected by any horizontal line more than once, then, the function (f) doesn't have an inverse.
Conversely, if the graph of function (f) isn't intersected by any horizontal line more than once, then, the function (f) has an inverse.
By critically observing the graph of the given function (f) shown in the image attached below, we can logically deduce that it has an inverse because it passed the horizontal line test.
Read more on horizontal line test here: https://brainly.com/question/6788383
#SPJ1
Answer: D. The function has an inverse because it passes the horizontal line test.
Step-by-step explanation:
Got it right on test.
Geoffrey is evaluating the expression
(-3)³(26) (2)
(-3) 5 (2²) (-3)*
C
-99
What are the values of a, b, c, and d?
O a=4, b=2, c= 16, d=9
O a=4, b= -2, c=16, d=9
O a=8, b= 8, c= 256, d=6,561
O a=8, b=8, c= 256, d=-6,561
(-3)³ (26)
(-3) (2²)
as shown below.
Answer: The values are a = 4, b = 2, c = 16, d = 9
simplified further
c = 16
d = 9
Please help I will give brainliest
The option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
Sequence and SeriesFrom the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14
In the given diagram,
The first picture requires 6 matches
The 2nd picture requires additional 5 matches
the 3rd picture requires additional 5 matches
and so on
That is
1 → 6
2 → 6 + 5 = 11
3 → 11 + 5 = 16
4 → 16 + 5 = 21
5 → 21 + 5 = 26
6 → 26 + 5 = 31
7 → 31 + 5 = 36
8 → 36 + 5 = 41
9 → 41 + 5 = 46
10 → 46 + 5 = 51
11 → 51 + 5 = 56
12 → 56 + 5 = 61
13 → 61 + 5 = 66
14 → 66 + 5 = 71
Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
Learn more on Sequence and Series here: https://brainly.com/question/10321751
#SPJ1
Given: x is the midpoint of MN¯¯¯¯¯¯¯¯¯¯ and MX=RX
Prove: XN=RX
A midpoint of a line segment implies a point on the line that is equidistant to its two ends. So that the required proof is shown below:
Given: line segment MN
x, the midpoint of MN
MX = RX
Then;
MX = XN (midpoint property of a line)
So that,
MN = MX + XN
= MX + MX (since XN = MX)
MN = 2MX
Thus,
MX = XN = RX (given that MX = RX)
Therefore, it can be concluded that;
XN = RX
For more clarifications on the midpoint of a line segment, visit: https://brainly.com/question/18049211
#SPJ1
HELP ASAP
The lengths of two sides of a parallelogram are 5x + 4 and 2x + 3y. Identify an expression for the perimeter of the parallelogram.
Answer: 2(7x + 3y + 4) [unsimplified] or 14x + 6y + 8 [simplified]
Step-by-step explanation: The perimeter of a parallelogram is 2 * (the two sides.)
Adding 5x + 4 and 2x + 3y, we get 7x + 3y + 4 by combining like terms in the x terms.
Now, we multiply by 2. This is 2(7x + 3y + 4) or 14x + 6y + 8
Solve the following proportion by cross multiplying:
x / 8 = 28 / 32
Answer: x = 7
Step-by-step explanation:
[tex]\frac{x}{8} =\frac{28}{32}[/tex]
We cross multiply, and we get:
32x = 8(28)
32x = 224
x = 7
I need help pls WILL GIVE BRAINLIEST
Answer: (1, -3)
Step-by-step explanation:
[tex]8x+4y=-4\\-4x-5y=11[/tex]
[tex]2(-4x-5y)=11(2)\\-8x-10y=22[/tex]
new system:
[tex]8x+4y=-4\\-8x-10y=22[/tex]
add.
[tex]-6y=18\\y=-3[/tex]
plug in -3 for y
[tex]8x+4(-3)=-4\\8x-12=-4\\8x=8\\x=1[/tex]
system:
[tex](1,-3)[/tex]
Answer:
Make one of the variable in one of the equations the subject of the formular first.[tex]4y = - 4 - 8x[/tex]to leave y independent divide the whole equation by the coefficient of y at this point it is 4.Then divided the whole equation by 4.[tex] \frac{4y}{4} = \frac{ - 4}{4} - \frac{8x}{4} [/tex]therefore the new equation will be[tex]y = - 1 - 2x....(3)[/tex]substitute the new equation in the other equation N.B not the one you extracted the new equation from.you will use -4x-5y=11 in substituting y=-1-2y[tex] - 4x - 5( - 1 - 2x) = 11 \\ - 4x + 5 + 10x= 11 \\ \\ - 4x + 10x = 11 - 5 \\ 6x = 6 \\ \frac{6x}{6} = \frac{6}{6} \\ x = 1[/tex][tex]y = - 1 - 2(1) \\ y = - 1 - 2 \\ y = - 3[/tex]HOPE THIS HELPS!For the following exercises, solve the equations below and express the answer using set notation.
11. | 6 − x | = 5
Answer: 0,11
Step-by-step explanation:
to solve this absolute value equation, you can remove the absolute value symbols and set 2 separate equations:
6-x=5
6-x=-5
solve them and you get the answers
The length of a rectangle is increased by 25% , but the width of the rectangle is decreased by 25%. By what percent was the rectangle's area decreased
The rectangle's area decreased by 19%.
Length = L
Breadth = B
Original area = L x B
New area = A = L x (1 + 25%) x B x (1 - 25%)
A = L x B x 0.25 x 0.75 = L x B x 1.05
Therefore the area of the rectangle has decreased by 19%.
To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.
The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.
Learn more about rectangle here https://brainly.com/question/25292087
#SPJ4
Which statements are correct? Check all that apply.
One-halfQP = UT
One-halfTS = RQ
SU = PR
SU ∥ RP
UT ⊥ RP
By applying the triangle midpoint theorem to the two triangles (see attachment), the correct statements are:
A. One-halfQP = UT
D. SU ∥ RP
What is triangle midpoint theorem?Triangle midpoint theorem states that the line segment which connects the midpoints of two (2) sides of a triangle must be parallel to the third side, and it's congruent to one-half of the third side.
By applying the triangle midpoint theorem to the two triangles (see attachment), we can infer and logically deduce that one-half of side QP is equal to side UT and side SU is parallel to side RP (SU ∥ RP).
Read more on triangle midpoint theorem here: https://brainly.com/question/12234706
#SPJ1
Complete Question:
Points S, U, and T are the midpoints of the sides of ΔPQR. ΔSUT is inside of ΔPQR. Points S, U, and T are the midpoints of ΔPQR. Which statements are correct? Check all that apply.
A. One-half QP = UT
B. One-half TS = RQ
C. SU = PR
D. SU ∥ RP
E. UT ⊥ RP
Answer: a and d
Step-by-step explanation:
PLEASE HELPPPPP
For the first picture determine the equation of the parabola shown in the diagram in vertex form and for the second picture determine the equation of the parabola shown in the diagram in factored form.
Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
[tex]\frac{6}{9}[/tex] = [tex]\frac{2}{3}[/tex] = a
y = [tex]\frac{2}{3}[/tex] (x - 3)² + 1 ← in vertex form
------------------------------------------------------
the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form
Simplify the following expression
Answer:
-ab^2
Step-by-step explanation:
7b^2a - 5b^2a - 3ab^2
= 2b^2a - 3ab^2
= (2 × b^2 × a) - (3 × a × b^2)
= -ab^2
b^2a and ab^2 is the same thing. hope it helps!
Please help you don’t have to give an explanation just the answer!
Answer:
f(-2)=36 , f(-1)=12 ,f(0)=2, f(1)=6,f(2)=24
Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality. 3x11 > 7x + 9 Drawing Tools Select Point Open Point Ray Click on a tool to begin drawing. -10 -8 -6 -4 -2 0 + Delete 2 4 Undo 6 ·00 8 Reset 10 Use the drawing tools to form the correct answer on the number line . Graph the solution set to this inequality . 3x11 > 7x + 9 Drawing Tools Select Point Open Point Ray Click on a tool to begin drawing . -10 -8 -6 -4 -2 0 + Delete 2 4 Undo 6 · 00 8 Reset 10
Hello,
3x - 11 > 7x + 9
⇔ -11 - 9 > 7x - 3x
⇔ - 20 > 4x
⇔ -20/4 > 4x/4
⇔ - 5 > x
⇔ x < - 5
The solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The inequality is:
3x - 11 > 7x + 9
After simplification:
3x - 7x > 9 + 11
-4x > 20
-x > 5
Multiplying by a negative sign on both sides:
x < -5
The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.
After plotting on the number line:
x ∈ (-∞, -5)
Thus, the solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.
Learn more about inequality here:
brainly.com/question/19491153
#SPJ5
_____+29 ÷4 = 16
Fill in the blank, Please
Answer:
8.75 + 29 ÷ 4 = 16or8 3/4 + 29 : 4 = 16or 35/4 + 29 : 4 = 16Step-by-step explanation:
_____+29 ÷4 = 16
Fill in the blank, Please
we can solve with an equation
x + 29 : 4 = 16
x + 7.25 = 16
x = 16 - 7.25
x = 8.75
--------------------
check
8.75 + 29 : 4 = 16
8.75 + 7.25 = 16
16 = 16
the answer is good
Answer:
35
Step-by-step explanation:
first u multiply by 4 to get 64
then subtract 29 to get
Select the correct answer. Which inequality is equivalent to the given inequality? -4(4+7) <3 ) x-2)
Answer:
x>-42
Step-by-step explanation:
I dont have time to explain de but thats the answer
Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
A. Exponential decay
B. Linear increasing
C. Linear decreasing
D. Exponential growth
Answer:
B. Linear increasing
Step-by-step explanation:
decay means decreasing
exponential graph would have a curve
(b) Figure 2 below is made up of 4 identical rectangles of length 4 cm and breadth 2 cm. What is the perimeter of Figure 2?
ASAP!!
Answer:
48 cm is the answer
Step-by-step explanation:
Using Perimeter of rectangle = 2(l+b)
=> 2(4+2)
=> 2(6)
=> 12
As 4 rectangles multiply by 4
so, 12 × 4
= 48
Any questions you may ask.
What is the Value of x in the figure below in this diagram ABD ~ CAD
Answer:
Step-by-step explanation:
A pole that is 2.8 tall casts a shadow that is 1.79 long. At the same time, a nearby building casts a shadow that is 42.25 long. How tall is the building? Round your answer to the nearest meter.
Answer:
The building is around 47 meters tall
Step-by-step explanation:
Pole:
tall/long
2.8/1.79
Building:
tall/long
x/42.25
Solve for x:
2.8/1.79 = x/42.25
1.79x = 84.5
x ≈ 47
Rsm Ch. 3 71...........................
Solve for x : log(3x) + log(x + 4) = log(15).
Please explain it to me.
Answer:
x = 1
Explanation:
[tex]\sf \rightarrow log(3x) + log(x + 4) = log(15)[/tex]
Rule: log(a) + log(b) = log(ab)
[tex]\sf \rightarrow log(3x(x + 4)) = log(15)[/tex]
cancel out log on both sides
[tex]\sf \rightarrow 3x(x + 4) = 15[/tex]
relocate constant variable
[tex]\sf \rightarrow 3x^2 + 12x -15 = 0[/tex]
take 3 as a common factor
[tex]\sf \rightarrow 3(x^2 + 4x -5) = 0[/tex]
divide both sides by 3
[tex]\sf \rightarrow x^2 + 4x -5 = 0[/tex]
middle term split
[tex]\sf \rightarrow x^2 + 5x -x-5 = 0[/tex]
factor common terms
[tex]\sf \rightarrow x(x + 5) -1(x+5)= 0[/tex]
collect into groups
[tex]\sf \rightarrow (x-1)(x+5)= 0[/tex]
set to zero
[tex]\sf \rightarrow x-1 = 0 , \ x+5= 0[/tex]
relocate variables
[tex]\sf \rightarrow x = 1, \ x = -5[/tex]
There must be a positive solution for log, so the solution is only x = 1
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Given:
[tex]\log (3x)+\log(x+4)=\log (15)[/tex]
As the logs have no base, assume that the base is 10.
[tex]\textsf{Apply log Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]
[tex]\implies \log_{10} (3x)+\log_{10}(x+4)=\log_{10} (15)[/tex]
[tex]\implies \log_{10} \left(3x(x+4)\right)=\log_{10} (15)[/tex]
Expand the brackets:
[tex]\implies \log_{10} \left(3x^2+12x\right)=\log_{10} (15)[/tex]
[tex]\textsf{Apply the log Equality law}: \quad \textsf{if }\: \log_ax=\log_ay\:\textsf{ then }\:x=y[/tex]
[tex]\implies 3x^2+12x=15[/tex]
Subtract 15 from both sides:
[tex]\implies 3x^2+12x-15=0[/tex]
Factor out the common term 3:
[tex]\implies 3(x^2+4x-5)=0[/tex]
Divide both sides by 3:
[tex]\implies x^2+4x-5=0[/tex]
Split the middle term:
[tex]\implies x^2+5x-x-5=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies x(x+5)-1(x+5)=0[/tex]
Factor out the common term (x + 5):
[tex]\implies (x-1)(x+5)=0[/tex]
Therefore:
[tex]x-1=0 \implies x=1[/tex]
[tex]x+5=0 \implies x=-5[/tex]
As logs cannot be taken of negative numbers, [tex]x=-5[/tex] is an extraneous solution. Therefore, the only valid solution is: [tex]x=1[/tex]
Which pairs of rectangles are similar polygons?
Select each correct answer.
(See image for details.)
The pairs of rectangles are similar polygons; Option C and Option D.
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
Similar polygon beings their sides have equivalent ratios to each other.
Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.
C. 1.89/2.1 = 81/0.9 = 90
D. 120 / 24 = 60 / 12 = 5
Hence, Option C and Option D are similar polygons only.
Learn more about polygon here;
https://brainly.com/question/14422754
#SPJ1
PLEASE HELP ILL GIVE BRAINLIEST!!!! I AM STUMPED AS I HAVE NOT PAYED ANY ATTENTION IN CLASS PLEASE HELP ME!!!!
Answer:
[tex]y=\frac{-2}{3} x-15[/tex]
Step-by-step explanation:
First draw a line. I will put it in an attachment so you can see the line.
Now choose to points on the line to use the slope formula.
(0,15) and (3,13).
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in the information needed using the two points chosen.
[tex]\frac{13-15}{3-0}=\frac{-2}{3}[/tex]
The slope is [tex]\frac{-2}{3}[/tex].
Now use point-slope formula.
Point-slope formula: y-y1=m(x-x1)
y-15=[tex]\frac{-2}{3}[/tex](x-0)
y-15=[tex]\frac{-2}{3}[/tex]x-0
Subtract 15 from both sides.
y=[tex]\frac{-2}{3}[/tex]x-15
Hope this helps!
If not, I am sorry.
HELP HELP HELP HELP
HELP HELP HELP
Answer: The base should be 4.
Step-by-step explanation:
1. We draw a triangle shape like the image.
(The steps was showed in the image).
A coordinate plane with a line drawn passing through the points (0, 3) and (1,1). which equation represents the graphed function? y = –2x 3 y = 2x 3 y = x 3 y = –x 3
Answer:
y = - 2x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )
m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 2x + 3 ← equation of line
Raj was friends with his waitress so he left her a 90 percent tip.
Percents
Total
90%
10%
100%
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
x
If his tip was $27.54, what is the value of x in the table above?
The value on the table above will be $30.6. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
Raj was friends with his waitress, so he left her a 90 percent tip.
If his tip was $27.54.
Then the value in the table above will be
⇒ $27.54 / 0.90
⇒ $30.6
Then the correct option is D.
The complete question is given below.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
Geometry question need help with it ASAP
Answer:-
DIY(do it yourself)
4 cm
A
C
If BX = 2 cm, XA = 3 cm, and BY = 3, find the value of YC.
O 5.5 cm
5 cm
B
O 45 cm
Y
4
Answer:
Step-by-step explanation:
Comment and answer
ABC is similar to XBY The triangles are similar because
B is a common angle to both<A = <BXY AB is a transversal cutting 2 parallel lines<C = <BYX BC is a transversal cutting 2 parallel linesBX = 2 Given
XA = 3 Given
BY = 3 Given
YC = x Object of question
BX/(BX + XA) = BY / (BY + YC) Parts of two similar triangles
2/(2 + 3) = 3/(3+ x) Combine the left
2/5 = 3/(3 + x) Cross Multiply
2*(3 + x) = 3*5 Remove the brackets
6 + 2x = 15 Subtract 6 from both sides
6-6+2x = 15 - 6 Combine
2x = 9 Divide by 2
2x/2 = 9/2
x = 4.5
Answer
x = 4.5 or D
alison, beatrice and chole each had some books. alison gave beatrice and chole some books that doubled the number of books they had, lastly chole gave alison and beatrice some books that doubled the number of books they had. each of them had 32 books at the end. how many books did each of them have at first?
alison, beatrice and chole each of them have at first 56, 8, 32 books.
alison, beatrice and chole each had some books. alison gave beatrice and chole some books that doubled the number of books they had, lastly chole gave alison and beatrice some books that doubled the number of books they had. each of them had 32 books at the end.
What is Working backward?Working backward is process in which calculation done in reverse direction.
let alison, beatrice and chole has x,y and z books initially,
alison gave beatrice and chole some books that doubled the number of books they had
alison, beatrice and chole has (96-2y-2z), (2y) , (2z)
chole gave alison and beatrice some books that doubled the number of books they had. each of them had 32 books at the end.
alison, beatrice and chole has 2(96-2y-2z), 2(2y) , (96-2(96-2y-2z)-4y)
at the end,
beatrice = 32
4y=32
y = 8
chole =32
96-2(96-2y-2z)-4y)=32
z=32
alison = 96-y-z
x=96-8-32
x=56
Thus the required alison, beatrice and chole each of them have at first 56, 8, 32 books.
Learn more about working backward here:
https://brainly.com/question/14636831
#SPJ1