Answer:
Correct answer is:
a. (-9,17)
Step-by-step explanation:
We are given that a point (6, 6) lies on the graph of [tex]y =f(x)[/tex].
Putting the values from the given point:
[tex]6 =f(6)[/tex]
That means we are given that [tex]f(6) =6[/tex] ..... (1)
And we have to find the corresponding coordinates of this point on the graph of [tex]y = 4f[\frac{1}3x +9] -7[/tex]
From equation (1), we know the value of [tex]f(6)[/tex].
so, let us convert [tex]f[\frac{1}3x +9][/tex] to a form such that it becomes equal to [tex]f(6)[/tex]
[tex]\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9[/tex]
So, let us put [tex]x = -9[/tex] in the given function:
[tex]4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7[/tex]
Now, using equation (1), putting [tex]f(6)=6[/tex]
[tex]\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17[/tex]
Therefore, the point the corresponding point is:
a. (-9,17)
Hi i need help asap my parent taught me how to do this equation (x^2-4x)^2+7x^2-28x+12=0 but i still dont understand I really need help understanding this i know the answer i just need an explanation please help me
Answer:
x = 1, x = 2, x = 3
Step-by-step explanation:
Hello, please consider the following.
[tex](x^2-4x)^2+7x^2-28x+12=0 \\\\(x(x-4))^2+7x(x-4)+12=0\\\\\text{Let's note }X = x(x-4)\text{ the equation becomes}\\\\X^2+7X+12=0\\\\\text{The sum of the zeroes is -7=-3+(-4) and the product is 12=(-4)*(-3).}\\\\\text{Wo we can factorise.}\\\\X^2+7X+12=X^2+4X+3X+12=X(X+4)+3(X+4)=(X+4)(X+3)=0\\\\X=-4 \ \ or \ \ X=-3[/tex]
So we need to solve:
[tex]x(x-4)=-4 \ \ or \ \ x(x-4)=-3\\\\<=> x^2-4x-4=(x-2)^2=0 \ \ or \ \ x^2-4x+3=(x-1)(x-3)=0[/tex]
So, the solutions are x = 2, x = 1, x = 3
Thank you
A circle has center D and passes through the points F and G. Which of the following is the name of this circle?
Answer:
Circle D
Step-by-step explanation:
The answer is Circle D
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.
Answer:
the perimeter of ΔABC is 32in
Step-by-step explanation:
We know that intersection point of the angle bisectors refers to the incenter of the triangle,.
Given tmthe radius of 4inch for the centre of the incircle.
One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value
In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as
d = 1/2(a +b -c)
And a, b, c represent lengths of the sides
We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the
distance from the right-angle vertex C to the incircle touchpoints .
We can determine the sum a+b as
4 = (1/2)(a+b -12) .
4/(1/2)= (a+b -12)
8= (a+b -12)
20=a+b
Which is the addition of length of the two legs of the triangle.
We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.
perimeter = 20 in + 12 in = 32 in
Therefore, the perimeter of ΔABC is 32in
When using ANOVA, the sum of squares within is: Group of answer choices Showing the difference between the groups Effect variance Error variance Showing the differences caused by the independent variable
Answer:
When using ANOVA, the sum of squares within is: Showing the difference between the Total SS and Between SS known as Error variance
Step-by-step explanation:
Within SS is also known as Error sum of squares . It is calculated by finding the difference between Total Sum of Squares and Between Sum of Squares
with the given degrees of freedom.
Within SS = Total SS - Between SS
Where
Total SS= ∑∑X²- C. F
Between SS= ∑T²j/r - C.F
Correction Factor = CF = Tj²/n
So the correct answer would be
Showing the difference between the Total SS and Between SS also known as Error variance.
20 points! Thank you :)
Answer:
[tex]\Large \boxed{x=-2 \ \mathrm{and} \ x=3}[/tex]
Step-by-step explanation:
The quadratic expression is given.
[tex]2x^2-2x-12=0[/tex]
Factor the left side of the equation.
[tex]2(x+2)(x-3)=0[/tex]
Set the factors equal to 0.
[tex]x+2=0[/tex]
[tex]x=-2[/tex]
[tex]x-3=0[/tex]
[tex]x=3[/tex]
The two solutions work in the original equation. The solutions make the equation true.
The quadratic expression:
[tex]2 {x}^{2} - 2x - 12[/tex]
★ By split middle term,we get
[tex]2 {x}^{2} - 6x + 4x - 12[/tex]
[tex]2x(x - 3) + 4( x - 3)[/tex]
[tex](2x + 4) (x - 3)[/tex]
[tex]2x + 4 = 0 \: \: and \: \: x - 3 = 0[/tex]
[tex]2 x = - 4 \: \: and \: \: x = 3[/tex]
[tex]x = - 2 \: \: and \: \: x = 3[/tex]
Therefore , the two solution of given quadratic equations is -2 and 3.
Combine like terms to simplify the expression: -5.55-8.55c+4.35c
Answer:
-5.55 - 4.2c
Step-by-step explanation:
-5.55 - 8.55c + 4.35c
'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.
Combine:
-5.55 - 8.55c + 4.35c
-8.55 + 4.35 = -4.2-5.55 - 4.2c
Hope this helps.
Convert 1.2 radians to an
angle in degrees
Answer:
Below
Step-by-step explanation:
Let x be the measure in degrees
● x/180 = 1.2/Pi
Cross multiply the values
● x*Pi = 180×1.2
● x = 216/Pi
Take Pi = 3.14
● x = 68.78 wich is approximatively 69°
solve for x 13(x-3)=39
Answer:
x=6
Step-by-step explanation:
13(x-3)=39
Divide each side by 13
13/13(x-3)=39/13
x-3 = 3
Add 3 to each side
x-3+3 = 3+3
x = 6
Answer:
x=6
Step-by-step explanation:
expanding we get
13x-39=39
13x=39+39
13x=78
x=78/13
x=6
(2a-b)2-(a-2b)2 factorial
Hello, we know that for a and b real numbers
[tex]a^2-b^2=(a-b)(a+b)[/tex]
So,
[tex](2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}[/tex]
Thank you.
WILL GIVE BRAINLIEST!!!
Answer:
2 x^2 sqrt(13)
Step-by-step explanation:
sqrt( 52x^4)
sqrt( 4*13 * x^2 * x^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)
2 sqrt(13) x*x
2 x^2 sqrt(13)
52|2
26|2
13|13
1
[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]
Special right triangles
Answer: please find the attached files
Step-by-step explanation:
A unit circle formula and special triangle of 45, 30 and 60 degrees can be used to solve the problem.
Please find the attached files for the solution
How to find the area of the shaded region
Answer:
61 cm^2.
See below.
Step-by-step explanation:
A square has an area of 18.49 square yards. What is the length of each side in yards?
Answer:
4.6225
Step-by-step explanation: It would be too long to get an exact
Answer:
Step-by-step explanation:
Area of square = 18.49 square yards
side² = 18.49
side = √18.49
side = 4.3 yards
If the average of 5, 8, b, 9 and 4 is 7. Find the value of b.
A. 9 B. 8 C. 7 D. 5
So our set of numbers is 5,8,b,9,4 . And we know the average is 7. So first, you have to add all the numbers in the set : 5+8+9+4 which gives you 26. We also know that to get the average of a set of numbers you have to add all the numbers and divide that sum by the how many numbers you have, in thsi case we have 5 numbers including b . So our equation now is : 26+b÷5=7. And if you plug in 9 for b you get 26+9÷5=7 and 26+9÷5 does equal 7 so therefore A is your answer
the fastest land dwelling creature is the cheetah. fact or
opinion
Answer:
True.
Step-by-step explanation:
Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.
The second fastest land animal is the Pronghorn antelope at 98kph (60mph).
Answer:
It is a Fact because it can run 70mph or 112kph
Which expression is equivalent 6+7n+4+8n?
Answer: 5(2+3n)
Step-by-step explanation:
Answer:
15n + 10 should be your answer.
Step-by-step explanation:
Find the area of the shape shown below.
12
5
5
units
Answer:
42.5 units²
Explenation:
The area of the square on the left is 5×5=25.
At the top you do 12-5=7 to find the length of the tringle.
Than it is 7×5=35 than this divided by two, so 17.5.
You add both areas 25+17.5=42.5
Answer:
42.5 square units
Step-by-step explanation:
Separate shape into a square and a triangle
Calculate the area of the square (5*5=25 square units)
Calculate the are of the triangle (7*5/2=35/2= 17.5 square units)
Add together (17.5+25=42.5 square units)
Please answer quickly, what is the measure of c
===================================================
Explanation:
The only given number here is the 20 degree angle. So we'll start with that. This is an inscribed angle, which doubles to 2*20 = 40, and this is the measure of the arc the inscribed angle cuts off (inscribed angle theorem). Consequently, it means that central angle b is also 40 degrees.
With b = 40, we can see that c = 180-b = 180-40 = 140. This is because b+c = 180 as the two angles are supplementary.
Answer:
140 degrees
Step-by-step explanation:
If the given angle is 20 degrees then the other unknown angle would also be 20 degrees because this triangle is an isosceles triangle. 20+20+20=180 proving the triangle sum theorem.
max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed? speed=d/t Time =d/s
Answer:
x = 11.5 hours
Step-by-step explanation:
Set up a proportion:
[tex]\frac{460}{8}[/tex] = [tex]\frac{661.25}{x}[/tex]
661.25/460 = 1.4375
Multiply 8 by 1.4375 to find x:
8(1.4375) = 11.5
x = 11.5 hours
Please help. Calculate the area of the shaded region in each figure use 3.14 for π and round to the nearest 10th if necessary
27
A radioactive substance decays at an annual rate of
13 percent. If the initial amount of the substance is
325 grams, which of the following functions i
models the remaining amount of the substance. In
grams, 1 years later?
A) f(t) = 325(0.877'
B) f(t) = 325(0.13)
C) f(t) = 0.87(325)
D) (t) = 0.13(325)
Answer:
the answer
Step-by-step explanation:
D) 0.13 (325)
HOPE THIS HELPS!
do you need the workout?
HELP!!! Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 2 2 −8 3 32 4 −128 A) −6553.2 B) −10.8 C)6554 D)11.6
Answer:
The correct option is;
C) 6554
Step-by-step explanation:
The given data are;
Day, Amount of change in Bacteria
1, 2
2, -8
3, 32
4, -128
Given that the data follows a geometric sequence, we have;
The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;
[tex]S_n = \dfrac{a \times \left (r^n - 1\right )}{r - 1}[/tex]
Which gives;
[tex]S_7 = \dfrac{2 \times \left ((-4)^7 - 1\right )}{(-4) - 1} = \dfrac{2 \times \left (-16384- 1\right )}{-4 - 1} = \dfrac{2 \times \left (-16385\right )}{-5} = 6554[/tex]
Therefore, the correct option is C) 6554.
Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar
Answer:
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
Step-by-step explanation:
La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:
[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]
[tex]x = \frac{56\,manzanas}{7}[/tex]
[tex]x = 8\,manzanas[/tex]
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
Need help and will mark brainlist and thank You
In a circle whose center is O, arc AB contaisn 100 degrees. Find the number of degrees in angle ABO?
Answer:
40
Step-by-step explanation:
Angles ABO, BAO, and AOB are the angles of isosceles triangle AOB. The angles at A and B are equal, so we have ...
AOB +2ABO = 180° . . . . . sum of angles in the triangle
100° +2ABO = 180° . . . . . . use the given value
50° +ABO = 90° . . . . . . . . divide by 2; next, subtract 50°
∠ABO = 40°
3y=-2x+1593 divide each side by 3
Answer:
y = -2x/3 + 531
Step-by-step explanation:
A.) 170
B.) 300
C.)280
D.)155
Please help me
Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]
which simplifies down a bit to
[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to
[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
How do I solve 3(x+1)=5(x−2)+7?
Answer:
x = 3Step-by-step explanation:
[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
3(x+1)=5(x−2)+7
Use the distributive property to multiply 3 by x+1.
3x+3=5(x−2)+7
Use the distributive property to multiply 5 by x−2.
3x+3=5x−10+7
Add −10 and 7 to get −3.
3x+3=5x−3
Subtract 5x from both sides.
3x+3−5x=−3
Combine 3x and −5x to get −2x
−2x+3=−3
Subtract 3 from both sides.
−2x=−3−3
Subtract 3 from −3 to get −6.
−2x=−6
Divide both sides by −2.
x = -6/2
Divide −6 by −2
x = 3
I need Help please answer :((
Answer:
Second option is the correct answer
[tex] {3}^{ - 4} [/tex]
Step-by-step explanation:
[tex] {3}^{ - 8} . {3}^{4} = {3}^{ - 8 + 4} = {3}^{ - 4} [/tex]
Answer:
The answer is D because you multiply the exponents so -8 times 4 is -32
Hope this helps and plz mark branliest!
Step-by-step explanation:
What type of number is that? Multiple answers.
Answer:
A & C
Step-by-step explanation:
-9 is a whole number is rational
55.5% repeating as a decimal
Answer:
0.555
Step-by-step explanation:
When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.
First, we will tell you why it is useful to know 55.5 as a decimal.
Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.
Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.
55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:
55.5 ÷ 100 = 0.555
The solution is, as a decimal of 55.5% is, 0.555
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.
First, we will tell you why it is useful to know 55.5 as a decimal.
Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.
Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.
55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:
55.5 ÷ 100 = 0.555
To learn more on division click:
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