(4, 7) lies on the graph of [tex]y=3f(2x)+1[/tex], so plugging in [tex]x=4[/tex] gives [tex]y=7[/tex]:
[tex]7=3f(2\cdot4)+1\implies f(8)=2[/tex]
i.e. if [tex]x=8[/tex], then [tex]y=2[/tex], so the point (8, 2) lies on the graph of [tex]y=f(x)[/tex]. The sum of this point's coordinates is 8 + 2 = 10.
plz help me .................
the price of a jacket was slashed from RS 960 to RS 816 .then the rate of discount offered is 10 percentage
Answer:
15%
Step-by-step explanation:
Question:
The price of a jacket was slashed from Rs.960 to Rs.816.Then the rate of discount offered is
Solution
Original price= Rs.960
Discount price= Rs.816
Difference in price=Original price - discount price
=Rs. 960 - Rs. 816
=Rs. 144
Percentage discount= Difference in price / Original price × 100
=Rs. 144 / Rs. 960 × 100
=0.15 × 100
=15%
The percentage discount =15% NOT 10% as you have written
solve the equation 2p square + 11p=30
Answer:
[tex]p=- \frac{15}{2}[/tex]
[tex]p=2[/tex]
Step-by-step explanation:
[tex]2p^2+11p=30[/tex]
Subtract 30 on both sides.
[tex]2p^2+11p-30=30-30[/tex]
[tex]2p^2+11p-30=0[/tex]
Factor left side of the equation.
[tex](2p + 15)(p-2)=0[/tex]
Set factors equal to 0.
[tex]2p+15=0[/tex]
[tex]2p=-15[/tex]
[tex]p=\frac{-15}{2}[/tex]
[tex]p-2=0[/tex]
[tex]p=2[/tex]
If you have 2345 and you multiple it by 2 divide it by 6 and add on 22299 what will the answer be?
Answer:
69242/3 or 23080.666667
Step-by-step explanation:
2345 is multiplied by 2. Then the result is divided by 6. Then 22299 is added to the final result.
2345 × 2
= 4690
4690/6
= 2345/3
2345/3 + 22299
= 69242/3
State if the gives angles are coterminal.
Answer:
Below
Step-by-step explanation:
Coterminal angles are angles with same terminal angles
Mathematically speaking these angles should have the same coordinates in a trigonomitrical circle
●●●●●●●●●●●●●●●●●●●●●●●●
Angles like 0° and 360° are coterminal since to we made a spin from 0° to 360°
For two angles A and B to be coterminal they should verify this relation :
A = B + k*360° with k an integer
So A-B = k*360°
●●●●●●●●●●●●●●●●●●●●●●●●
7) :
35° and 395°
395° -35° = 360°
360° is a multiple of 360° so these angles are coterminal
8) :
140° and 860°
860° - 140° = 720°
720° is a multiple of 360°
720 = 360° × 2
9) :
350° and -710°
350 -(-710) = 350+ 710 = 1060°
1060° isn't a multiple of 360°
So these angles aren't coterminal
10) :
130° and -230°
130 -(-230) = 130+230 = 360°
So these angles are coterminal
11) :
30° and -690°
30 -(-690) = 30+ 690 = 720°
720 is a multiple of 360 so these angles are coterminal
12) :
210° and 10°
210-10 = 200
200 isn't a multiple of 360 so these angles aren't coterminal
How to find and solve this ?
Shape A = ______ units
Shape B = _______ units
Answer:
A = 12
B = 14
Step-by-step explanation:
You essentially have to count the number of squares that are filled in.
Shape A has 12 units filled in.
Shape B has 14 units filled in.
ABCD is a square. Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark. What is the measure of angle BAC? 30° 45° 60° 90
Answer:
45°
Step-by-step explanation:
Since the diagonal cuts the square into two triangles, the angles b, a, and , c all add up to 180°. Because the shape is a square we know that one of the angles is right/90° meaning the two remaining angles are 45°. Angles a, and c had the diagonal drawn through so those two angles are each 45° and b is 90°, and since they are asking for bac we know that they want the middle angle, i.e angle A.
Since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
What is a Square?A square is a quadrilateral that has four interior angles of 90 degrees each, and also has four equal sides.The diagonal of a square bisects each vertex of the square into equal halves.Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
Learn more about a square on:
https://brainly.com/question/24579466
please answer fast. Alan is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 2,000 volunteers with coughing issues and divides them into two groups. The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of coughing. What can Alan conclude from this experiment? (10 points)
Alan can conclude that the medicine given out to the treatment group does indeed work and reduces the amount of coughing and the control group with no treatment never got any better so the medicine is far better than no treatment at all.
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answer:
x = -5.
Step-by-step explanation:
The solutions of the equation is when the two functions intersect. That is at (-5, 5.5), so where x = -5.
Hope this helps!
Answer:
x = -5
Step-by-step explanation:
f(x) = g(x) has more than one solution, because they intersect at two points.
The question asks for one solution of f(x) = g(x).
One point where they intersect is at (-5, 5.5), as shown in the graph.
(x , y)
x = -5, y = 5.5
Draw a diagram of this statement,
Fifteen thousand dollars was raised by the booster club. This was two thirds of
the goal.
Use your diagram to determine the percent by which the booster club fell short of their goal
Answer:
The percentage by which the booster club fell short is 33% as shown on the chart
Step-by-step explanation:
To represent the given data pictorially, a pie chart is suitable
The circumference of the pie chart will represent the amount to be raised by the booster club and a sector of the circle which is two-thirds of the circumference represents the amount raised
Given that the amount raised = 2/3×Goal = $15,000, we have;
We represent the amount raised as a sector of the circle as follows;
Sector angle = 2/3×360° = 240°
Total sector of goal amount = Entire circle = 360°
Amount club fell short = 360° - 240° = 120°
The goal amount = 3/2 × $15,000
Percentage by which the club fell short = 120/360×100 = 1/3×100 = 33.33%
Please help me it will mean a lot
Answer:
A) a=25
B) b=14
Step-by-step explanation:
A) a/5+3=8
First you need to subtract 3 from both sides.
(a/5+3)-3=(8)-3
Then simplify
a/5=5
Multiply both sides by 5
(a/5)*5=(5)*5
Then simplify
a= 25
B )3b/7-1=5
First you need to add 1 to both sides
(3b/7-1)+1=(5)+1
Simplify
3b/7=6
Multiply both sides by 7
(3b/7)*7=(6)*7
Simplify
3b=42
Divide both sides by 3
(3b)/3=(42/3)/3
Simplify
b= 14
(Brainliest???) :P
1. In your own words please describe a Relations vs. Function
2. please describe the mathematical order of operation(photo attached)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
1. Relations are the set of y (output) and x (input) values that are related. A function is when each input has a relation with one output.
2. The mathematical formula is the formula of Pythagoras theorem. Where the length c (hypotenuse) is equal to the square root of the sum of the legs squared.
(pic inside) What is the approximate value of the function at x = 1?
Answer: -2
Step-by-step explanation:
When x = 1, y = -2.
Hope it helps <3
Una estudiante gráfica muestras de mayolicas que desea comprar su papa para poner en el piso de la ducha. Las representaciones gráficas de 3/4 corresponde a la parte coloreada en cada una de las mayolicas ¿Son equivalentes las fracciones que representan la parte coloreada de cada muestra? ¿Cómo verifico que 2 fracciones son equivale?
Hey loves!!! Can any of you lovely people help me with my math?
Answer:
SAA or AAS
Step-by-step explanation:
∠BAC = ∠BCA Given
∠BDA = 90° and ∠BDC = 90° Given
∠BDA = ∠BDC All 90° angles are congruent
BD = DB Reflexive property
ΔADB = ΔCDB SAA
The functions f(x) and g(x) are graphed.
On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).
Which represents where f(x) = g(x)?
f(2) = g(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)
Answer:
[tex]f(0)=g(0)[/tex] and [tex]f(2) = g(2)[/tex]
Step-by-step explanation:
According to the question, the curved red line represents [tex]g(x)[/tex] and the straight blue line represents [tex]f(x)[/tex].
The important thing here is that the equality of functions [tex]f(x)=g(x)[/tex] is represented as a common function between their curves. So, we just need to find such a common point for both.
[tex]f(x)[/tex] has points (0, 4) and (2, 0).
[tex]g(x)[/tex] has points (0,4) and (2,0).
Notice that both functions have the same y-value for x=0 and x=2, that means
[tex]f(0)=g(0)[/tex] and [tex]f(2) = g(2)[/tex].
Therefore, the right answer is the first choice.
The correct answer is option A which is f(2) = g(2) and f(0) = g(0)
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
According to the question, the curved red line represents g(x) while the straight blue line represents f(x).
The important thing here is that the equality of functions f(x) = g(x) is represented as a common function between their curves. So, we just need to find a common point for both.
f(x) has points (0, 4) and (2, 0).
g(x) has points (0,4) and (2,0).
Notice that both functions have the same y-value for x=0 and x=2, which means
f(2) = g(2) and f(0) = g(0)
Therefore correct answer is option A which is f(2) = g(2) and f(0) = g(0)
To know more about function follow
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find x value A. 8.96 B. 10.83 C. 5.10 D. 6.09
Answer:
6.09
Step-by-step explanation:
in ADB
[tex]a ^{2} + b^{2} = c ^{2} [/tex]
to get hypotenuse=8.96
this is height of ABC so use tan
[tex] tan(55.8)= 8.96 \x[/tex]
x=6.09
Answer:
D
Step-by-step explanation:
To find x, we first to to find the line between A&B.
Use the pythagoram theorem to do this A^2+B^2=C^2
4.9^2+7.5^2=C^2
80.26=C^2
square root each side
Side AtoB=8.958
We now know the side length of the opposite and adjacent for the angle C. So according to SohCahToa we need to use Tangent.
So Tan(55.8)=(8.958/x)
We you solve for x, the answer is 6.088
. A car bought for $20,000. Its value depreciates by 10% each year for 3 years. What is the car's worth after3 years?
Answer:
$14,580
Step-by-step explanation:
To start off, 10% of 20,000-one easy way to do this is to multiply 20,000 by 0.1, which is 10% in decimal form
-In doing that, you get 2,000
-Now the question says that the value is depreciated which means it goes down in value, so subtract 2,000 from 20,000 to 18,000
-the value of the car after one year is now $18,000
Now, let's move to the second year. This time find 10% of 18,000
-multiply 18,000 by 0.1 to get 1,800
-since the value is depreciating, or becoming less, we will subtract 1,800 from 18,000 to get 16,200
-the value of the car after two years is now $16,200
Finally, let's look at the value of the car after three years. Only this time, we will now find 10% of 16,200
-multiply 16,200 by 0.1 to get 1,620
-since value is being depreciated, or lessened, we will once again be subtracting. Subtract 1,620 from 16,200 to get 14,580
Therefore, the value of the car after three years is now $14,580.
find the value of x.
Answer:
A. 7
Step-by-step explanation:
The problem is poorly specified, so technically cannot be answered with a specific number.
If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:
(17 +11)/2 = 21 -x
14 = 21 -x
x = 21 -14 = 7
The value of x is 7.
_____
The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.
Ha mush and Harry work as plumbers Harry earns a dollar more than more than 5/4 the amount gaming earns per hour the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour how much does each of them earn per hour
Answer:
Hamish's earning = $20
Harry's earning = $26
Step-by-step explanation:
Given the following :
Let Harry's earning per hour = x
Let Hamish earning per hour = y
Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;
Therefore,
x = 5/4y + 1
x - 5/4y = 1 - - - - (1)
the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
x = 7/5y - 2 - - - - (2)
Substituting (2) into (1)
7/5y - 2 - 5/4y = 1
7/5y - 5/4y = 1 + 2
7/5y - 5/4y = 3
Taking the L. C. M
(28y - 25y) / 20 = 3
28y - 25y = 60
3y = 60
y = 20
Substitute y = 20 into (1)
x - 5/4(20) = 1
x - 100/4 = 1
x - 25 = 1
x = 1 + 25
x = 26
y = Hamish's earning = $20
x = Harry's earning = $26
Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25
Answer:
Option C: 38 is p more than 25
Step-by-step explanation:
the equation 25 + p = 38
can be read as 38 is 25 plus p units, or similarly ;
38 is p units more than 25.
Therefore from the three sentences you are showing, only the last one (option C) is the correct one.
In a school, the ratio of students of class 9 to that of class 10 is 3:2. 30% of the students of class 9 and 10%of the students of class 10 were elected to the school student committee. What fraction of the total number of students of the two classes was selected to the school student committee?
Answer:
22% of the two classes were elected to the student committee
Step-by-step explanation:
Given
class 9 : class 10 = 3:2 = 60% : 40%
Total fraction = 60% * 30% + 40% * 10% = 18% + 4% = 22%
write a compound inequality that the graph could represent
Answer:
second option
Step-by-step explanation:
A life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475. The probability that the male survives the year is .999172. Find the expected value for the insurance company.
Answer:
The expected value for the insurance company is $392.20.
Step-by-step explanation:
The expected value of a random variable, X is:
[tex]E(X)=x\cdot P(X)[/tex]
It is provided that a life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475.
The probability that the male survives the year is, P(S) = 0.999172.
Then the probability that the male does not survives the year is:
P (S') = 1 - P (S)
= 1 - 0.999172
P (S') = 0.000828
The amount the company owes the male if he survives is, S = $475.
The amount the company owes the male if he does not survives is,
S' = $475 - $100,000 = -$99525.
Compute the expected value for the insurance company as follows:
[tex]E(\text{Insurance Company})=S\cdot P(S)+S'\cdot P(S')[/tex]
[tex]=(475\times 0.999172)+(-99525\times 0.000828)\\=474.6067-82.4067\\=392.20[/tex]
Thus, the expected value for the insurance company is $392.20.
What is the sum of 3x to the second power +2x-1
Answer:
[tex]3x^2+2x+1[/tex]
Step-by-step explanation:
Sum means to add and second power means that the exponent is "2". So, the expression is:
=> [tex]3x^2+2x+1[/tex]
It cannot be simplified further.
Which shapes can be made from a planar cross section of a triangular pyramid? More than one can be correct: trapezoid, pentagon, isosceles triangle, rectangle, hexagon, scalene triangle, square, decagon, or equilateral triangle
Answer:
Triangle in isosceles, scalene or equilateral forms and
quadrilateral in trapezoid, rectangle or square forms
Step-by-step explanation:
Refer to pictures attached
Shapes can be formed are:
Trapezoid,when perpendicular to base
Rectangle or square,when angle cross section to base
Isosceles triangle,when base is isosceles triangle and parallel cross section to base,
or angle cross section
Scalene triangle,when base is scalene triangle and parallel cross section to base,
or angle cross section
Equilateral triangle,when base is equilateral triangle and parallel cross section to base,
or angle cross section
factor completely
1 + 12x + 36x^2 =_____
Answer:
(6x + 1)^2.
Step-by-step explanation:
1 + 12x + 36x^2
= 36x^2 + 12x + 1
= (6x + 1)(6x + 1)
= (6x + 1)^2.
Hope this helps!
Answer:
[tex](6x+1)^2[/tex]
Step-by-step explanation:
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume? 15π m3 60π m3 45π m3 30π m3
Answer:
V = 15 pi m^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h
The radius is 3 and the height is 5
V = 1/3 pi ( 3)^2 *5
V = 15 pi m^3
Answer:
15 pi m3
Step-by-step explanation:
Using the order of operations, what should be done first to evaluate 6 squared + 10 divided by (negative 5) (3) minus 5?
A.Subtract 5 from 3.
B.Divide 10 by –5.
C.Add 6 and 10.
D.Evaluate 6 squared.
Answer:
apply the BODMAS concept
brackets, off, division, multiplication, addition, subtraction
Step-by-step explanation:
(6²+10)÷(-5×3)-5
in this case the answer is D
Please answer this in two minutes
Answer:
14.
Step-by-step explanation:
From the question given, we obtained the following information:
When angle θ = 60°
Adjacent = 7
Hypothenus = s
When angle θ = 30°
Opposite = 7
Hypothenus = s
We can use any of the above to determine the value of 's'.
Here, we shall consider when angle θ is 60°.
Cos θ = Adjacent /Hypothenus
Angle θ = 60°
Adjacent = 7
Hypothenus = s
Cos θ = Adjacent /Hypothenus
Cos 60° = 7/s
But Cos 60° = 1/2
1/2 = 7/s
Cross multiply
s = 2 x 7
s = 14
Therefore, the value of 's' is 14
Determine the inequality represented by the following diagram