Answer:
[tex] \displaystyle \boxed{k = 3}[/tex]
Step-by-step explanation:
to determine the Value of k we need to find the equation of f(x) and g(x)
finding the equation of f(x):
f(x) is a linear function which form is given by:
[tex] \displaystyle f(x) =mx + b[/tex]
where:
m is the slope b is the y-interceptfrom the graph we acquire that
[tex]b = 4[/tex]
to figure out m we can consider the following formula:
[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]
from the graph we obtain that both ∆x and ∆y is 1 thus substitute:
[tex] \displaystyle m = \frac{ 1}{ 1} [/tex]
simplify:
[tex] \displaystyle m = 1[/tex]
altogether we acquire:
[tex] \displaystyle f(x) =x + 4[/tex]
finding the equation of g(x):
likewise f(x)
from the graph we obtain that
∆x=1∆y=3thus substitute:
[tex] \displaystyle m = \frac{ 3}{ 1} [/tex]
simplify:
[tex] \displaystyle m = 3[/tex]
from the graph we acquire
b=4altogether substitute therefore
[tex] \displaystyle g(x) =3x + 4[/tex]
finding the value of k:
given that,
[tex] \displaystyle \rm f(x) \: \text{and} \: g(x) =f(kx) = 3x + 4[/tex]
so our equation is
[tex] \displaystyle kx + 4 = 3x + 4[/tex]
cancel 4 from both sides:
[tex] \displaystyle kx = 3x [/tex]
divide both sides by x:
[tex] \displaystyle \boxed{k = 3}[/tex]
and we're done!
Disclaimer:
at the following link we posted the complete question
the complete question:
https://brainly.com/question/24201282Answer:
k = 3
Step-by-step explanation:
Graph is in attachment .
Finding equation of first line [ f(x) ] :-
We can see that the line passea through point ( 0,4) . Therefore ,
y intercept = 4Also it passes through (-4,0 )
Now let's find out slope .So that we can use the slope intercept form to find the equⁿ of the line.
m = y ₂ - y₁ / x ₂ - x₁ m = 4 - 0 / 0 - (-4) m = 4/4 m = 1Equation of f(x) :-
y = mx + c y = 1 * x + 4 y = x + 4 f(x) = x + 4Similarly when we will find the equⁿ of g(x) :-
y = 3x + 4g(x) = 3x + 4By question :-
f(x ) and g(x) = f ( k • x ) 3x + 4 = kx + 4 kx = 3x k = 3If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle
Answer:
3.7 feet
Step-by-step explanation:
A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618
If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft
= 3.7 (to the nearest tenth)
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
rization
Vhat is the prime factorization of 180?
Select a composite number to break into factors. Continue
factoring until all factors are prime.
22•2•3•3.5
2.2.45
2.3.3.5
480
2.9.5
Answer:
5 3 3 2 2
Step-by-step explanation:
180
90 2
45 2 2
15 3 2 2
5 3 3 2 2
Answer:
180 = 5 × 3² × 2²
Step-by-step explanation:
Starting with 180, the prime factors are in bold
180 = 90 × 2
= 45 × 2 × 2
= 15 × 3 × 2 × 2
= 5 × 3 × 3 × 2 × 2
Then
180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²
I really need some help with this question also.
A) 2/5
B) 3/5
C) 11/25
D) 14/25
what is the measure of < B ? help !!
The choose (C) 60
The measure of the angles of a triangle is 180, and this triangle is equilateral, so 180/3=60, each angle is 60°
What should be done first to evaluate the expression?
3 + (5 - 3)2 × 4
Answer:
19
Step-by-step explanation:
19 is the answer I think so
If a^2 -b^2 =12 and a-b=4 what is the bay of a +b
Answer:
a+b = 3
Step-by-step explanation:
a = b+4
a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12
8b=-4
b = - 1/2
a = 3.5
If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,a d) a, a², √a
Hello,
[tex]0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...[/tex]
Find the measure of the missing angle using the exterior angle sum theorm.
Step-by-step explanation:
the correct answer for the question is 85
We know that, in a triangle,
Exterior angle = Sum of interior opposite angles
So,
missing angle = 45° + 40°
=> missing angle = 85°
PLEASE ANSWER QUICK!!! 30 POINTS
The figure has angle measures as shown.
A
19x - 15
26x + 20
D
9x + 25
C
B
What is the measure of ZABD?
O 150°
O 120°
O 70°
O 30°
Answer:
Solution given;
<ABD=<BAC+<ACB
Since exterior angle of a triangle is equal to the sum of two opposite interior angle
26x+20=19x-15+9x+25
solve like terms
26x+20=28x+10
subtracting both by 10
26x+20-10=28x+10-10
Subtracting both side by 26x
10=28x-26x
2x=10
dividing both side by 2
2x/2=10/2
x=5
Now
<ABD=26*5+20=l50°
The value of <ABD is 150°
Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negated. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.
B) p and the q are switched
C) Neither p or q is negated
========================================================
Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
Original = If P, then QConverse = If Q, then PInverse = If not P, then not QContrapositive = If not Q, then not PSide notes:
The original and contrapositive are equivalent in truth value.The converse and inverse are equivalent in truth value.According to general equation for conditional probability, if P(A^B) = 2/3 and P(B) = 3/4, what is P(A|B)?
Answer:
a
Step-by-step explanation:
ok
Answer:
D. 8/9
Step-by-step explanation:
Find the equation of the line through the points (6, -9) and (-2, -1).
Which of the following describes point D?
The coordinates that describe the point D are: Option C: (0, 4)
How to find the coordinates of the graph?The graph shows that the vertical axis is labelled as the y-axis while the horizontal axis is labelled as the x -axis.
Normally, the coordinate system of writing the given points of the graph is (x, y)
Thus, the point D on the graph is seem to be 4 units on the positive y-axis and 0 units on the positive x-axis and as such, we can say that the coordinates of point D are:
D(0, 4)
Read more about Graph Coordinates at: https://brainly.com/question/11337174
Complete question is:
Which of the following describes point D?
(-4, 0)
(0, -4)
(0, 4)
(4, 0)
6. Don Juan compro un terreno con las dimensiones que se muestran en la figura el cual se va acondicionar para realizar eventos sociales, por lo que desea instalar césped en la region sombreada. ¿Cuantos metros cuadrados de césped requiere? Considera rt=3.14 16 m O 50 24 m2 0 205 76 m2 256 00 m2 0 5504 m2
Answer:
Not sure but I think it might be A
Step-by-step explanation:
Took the test
What are equivalent expressions please explain
Answer:
Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify.
Step-by-step explanation:
PLEASE HELP! Use the substitution method to solve the system of equations.
A. (-30,11)
B. (5,-3)
C. (10,-5)
D. (0,1)
Hello,
[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]
Answer A
SOMEONE PLEASE HELP ME! IM SO CONFUSED, NEED THIS VERY BADLY!
Answer:
115°
Step-by-step explanation:
in a parallelogram vertically opposite angles are equal.
m∠MNK=m∠KLM=115°
(a+1)(b+2)
please help me!!!
Answer:
(a + 1) (b + 2 ) = 2a + b + ab + 2
Step-by-step explanation:
[tex](a +1 )(b + 2) \\\\= a( b+ 2) + 1 (b +2) \\\\= ab + 2a + b + 2\\\\=2a + b + ab + 2[/tex]
[tex](a + 1)(b + 2) \\ = a(b + 2) + 1(b + 2) \\ = ab + 2a + b + 2[/tex]
Answer ↦ [tex]\boxed{\tt{ab + 2a + b + 2}}[/tex]
Method Used:↦ Distributive Property.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Surveying Indiana high school students about virtual learning or e-learning by sampling all of the students from only some of the online schools in Indiana would be a type of sampling known as cluster sampling.
True
False
Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.
You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
Evaluate the question in the photo attached please. ASAP
Mathematics can help me with
Answer:
Fabric Cloaks
21 6
7 2
14 4
Step-by-step explanation:
To represent the situation, we can write a ratio using the information 21 sq meters per 6 wizard cloaks. we can write:
21 sq m/ 6 cloaks
and simplify both the numerator and denominator by dividing each by 3:
7 sq m/ 2 cloaks
We can already fill out the second row because, from the ratio above, we can say 2 cloaks use 7 sq m.
For the next row, we need the number of cloaks, or the denominator to be 4. So, we need to multiply both the top and the bottom by two to get:
14 sq m/ 4 cloaks
This means 4 cloaks need 14 sq m.
Micheal is selling lemonade.He sold 6 large lemonades at $3 each and 5 small lemonades at $2 each. How much money did he earn ?
Answer:
$28
Step-by-step explanation:
Answer:
6=$3
5=$2
6x3=18
5x2=10
18+10= 28
=$28
Step-by-step explanation:
Helppppp and explain tooo pls and thankyouuu
Answer:
--- ---
| -5 -2 |
| 4 12 |
--- ----
Step-by-step explanation:
A matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions . To add two matrices, just add the corresponding entries, and place this sum in the corresponding position in the matrix which results.
The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?
the coordinates of endpoint B are (7,7)
Answer:
Solution given:
M(x,y)=(2,-1)
A[tex](x_{1},y_{1})=(-3,5)[/tex]
Let
B[tex](x_{2},y_{2})=(a,b)[/tex]
now
by using mid point formula
x=[tex]\frac{x_{1}+x_{2}}{2}[/tex]
$ubstituting value
2*2=-3+a
a=4+3
a=7
again
y=[tex]\frac{y_{1}+y_{2}}{2}[/tex]
$ubstituting value
-1*2=5-b
b=5+2
b=7
the coordinates of endpoint B are (7,7)
Determine the period
Answer:
It's 10, on acellus :)
Step-by-step explanation:
The following are the last 10 run scores Colin got in cricket:
28, 13, 4, 12, 32, 22, 13, 22, 26, 32
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 16 runs.
What is his new mean score?
Give your answers as decimals.
Answers:
a) Mean = 20.4b) New mean = 20==================================================
Explanation:
To get the mean, we add up the scores and divide by 10 (because there are 10 scores at first)
28+13+4+12+32+22+13+22+26+32 = 204
204/10 = 20.4
The mean is 20.4
------------
For part b), we redo those steps shown above, but tack 16 onto the list. So we'll add up all the values (including that 16 at the end) and divide by 11 this time.
28+13+4+12+32+22+13+22+26+32+16 = 220
220/11 = 20
The new mean is 20.
The new mean is slightly smaller than the old mean. Notice how 16 is smaller than 20.4, so this new score pulls down the mean just a little bit.
What is the measure of Arc E B C?
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
Answer:
Profit % = 11,11 %
Step-by-step explanation:
Answer:
14% profit on shirt/skirt?...
actually as written the question can not be answered....
the start of the problem has gloves, and SHIRT... at the end you want the
profit on a SKIRT
Step-by-step explanation:
gloves sold for 8
shirt sold for 40
.2(48) = 9.60 profit
9.60 - 4 = 5.60 profit of shirt
x(40) = 5.60
14% profit on shirt
they help me ? is the last someone please