Answer:
The value of [tex]f\,\circ\,g(-8)[/tex] is 16.
Step-by-step explanation:
The composition consist: in replacing the independent variable ([tex]x[/tex]) of [tex]f(x)[/tex] by [tex]g(x)[/tex]:
[tex]f(x) = x^{2}-3\cdot x -12[/tex] (1)
[tex]g(x) = -x-12[/tex] (2)
[tex]f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12[/tex] (3)
[tex]f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12[/tex]
[tex]f\,\circ\,g(x) = x^{2} +27\cdot x +168[/tex]
[tex]f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168[/tex]
[tex]f\,\circ\,g(-8) = 16[/tex]
The value of [tex]f\,\circ\,g(-8)[/tex] is 16.
A square has the same perimeter as a triangle. The triangle's area is 16 root 3. What is the hypotenuse of the square?
Answer:
12\sqrt{2}
Step-by-step explanation:
To get the hypotenuse, first we need to get the side length of the square
Area of the square = L²
16\sqrt{3} = L²
L = 4×3
L = 12
Using pythagiras theorem to get the hypotenuse
Hyp² = 12²+12²
Hyp² = 144+144
Hyp² = 288
Hyp = \sqrt {288}
Hyp = 12\sqrt{2}
Hence the hypotenuse of the square is 12\sqrt{2}
A shooting star forms a right triangle with the Earth and the Sun, as shown below:
A right triangle is shown with the vertices labeled Earth, Sun, and Shooting Star. The angle formed by the Sun is labeled x deg
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star. (10 points)
NO LINKS OR ABSURD ANSWERS
The distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.
How to calculate the distance?Fist of all, we would assign variables to the distance between these astronomical objects as follows:
Let EM be the distance between the Shooting Star and planet Earth.Let y be the distance between the Sun and the Shooting Star.Since the triangle is right-angled, we would use the sine trigonometry to determine the value of the distance between the Sun and the Shooting Star:
Sinθ = Opp/Hyp
Sinθ = EM/y
EM = y × Sinθ
Therefore, the distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.
Read more on right triangle here: https://brainly.com/question/12955901
#SPJ1
Find the perimeter of the figures shown below.
Answer:
The perimeter would be 32.6 ft.
Step-by-step explanation:
5.7+ 5.7+10.6+10.6=32.6
A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to the nearest tenth of a mile?
Answer: [tex]17.4\ \text{miles}[/tex]
Step-by-step explanation:
Given
A plane has traveled 26 miles on a course heading [tex]48^{\circ}[/tex] east of north
Taking the component of travel in North direction
The distance traveled in North is given by with the help of figure
[tex]\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}[/tex]
BRAINLIEST IF CORRECT
Generating random samples.
Answer:
1st and 3rd answer
Step-by-step explanation:
1st answer - Having a sample that is not random does not allow you to generalize the results of the experiment/study to the population because it is not representative of the population in the first place.
3rd answer - The definition of a random sample is that each member of the population has an equal chance of being selected.
Just look at the directions brainliest and thanks!
Answer:
b) Yes. Because it grows linearly, and have the proportions of 3. For each x you have an y 3 times bigger
Step-by-step explanation:
a) Okay, I cannot draw it right now, but I can explain how you'll do it. First step: draw a point on x=1 and y=3. Second step: draw another point on x=5 and y=15. Third step: pick your rule and make a straight line in these two points. It's done :)
50 points. Can anyone help me. If you can show me how you did it for the assgnment.
Answer: in picture
Step-by-step explanation:
Sorry if I got something wrong
A number greater than 4 is rolled on a six-sided number cube. What is the probability of the complement of this event? Express your answer as a fraction in simplest form.
===========================================================
Explanation:
set A = dice values greater than 4 = {5,6}
set B = dice values 4 or less = {1,2,3,4}
Sets A and B are considered complementary because one or the other must happen. You must either roll something larger than 4 (set A) or you must roll something from set B.
There are 4 items in set B out of 6 possible outcomes. That leads us to the answer 4/6 = 2/3
100 tenths= ? hundredths
A) 10
B) 100
C) 1,000
D)10,000
Answer: your answer is D
The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there
Answer:
18
Step-by-step explanation:
Calculation to determine how many coloured paper are there
Let 3x represent the number of coloured papers
Let 8x represent the number of white papers
Given that 8x=48
Hence,
x=48/8
x=6
Now let determine how many coloured paper are there
Coloured paper=3x
Coloured paper=3(6)
Coloured paper=18
Thereffore the number of coloured paper that are there is 18
Please help i will mark brainiest! You will get 20 points
Which of the following is most likely the next step in the series?
Z3, y6, X9, w12, . . .
A. u18
B. V18
C. V15
D. v15
Answer:
C. V15
Step-by-step explanation:
Each step we go back a letter in the alphabet and up 3 numbers.
Hope this helps! :)
Answer:
C. V15
Step-by-step explanation:
I got the answer correct.
HELP ME WITH THIS pLEASE ILL MARK U THE BRAINLIEST
Quadrilateral ABCD has vertices A(-3, 1) B(0,4) C(4,0) D(1, -3).
Find the perimeter of ABCD. Round to the nearest tenth.
please help!!!!!!!!!!!
Answer:
Q(1,5)
R(3,-1)
S(0,0)
T(-2,3)
Please give brainiest?
solve it : -
[tex] \sqrt{6 \times 24} [/tex]
_______
Answer:
12
Step-by-step explanation:
sqrt(6*24)
sqrt(144)
sqrt(12*12)
12
Answer:
12
Step-by-step explanation:
6×24=144
Sq. Root of 144=12
plz help I really don’t understand this
Answer:
[tex]OP=3.6[/tex]
Step-by-step explanation:
Since OP is parallel to LM, the two triangles are similar, because they share all three angles. By definition, the corresponding sides of a similar polygon must be in a constant proportion.
Thus, we have:
[tex]\frac{6}{6+4}=\frac{OP}{6},\\10\cdot OP=36,\\OP=\frac{36}{10}=\boxed{3.6}[/tex]
Which is the graph of the linear inequality 1/2x - 2y > -6?
Answer: almost there
Step-by-step explanation: bring the 2 up
1) Find the remainder when 4x3 - 5x2 + 2x - 14 is divided by x -2
with the help of remainder theorem.
{ANS: R=2}
Answer:
remainder = 2
Step-by-step explanation:
A polynomial f(x) is divided by (x - a) then the remainder is f(a)
Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)
f(2) = 4(2)³ - 5(2)² + 2(2) - 14
= 4(8) - 5(4) + 4 - 14
= 32 - 20 - 10
= 12 - 10
= 2
[tex] {10}^x = 5[/tex]
What is x?
×= 5/log 10 ^10
x= In 5
x=log 10^5
x=1/2
Answer:
below
Step-by-step explanation:
10ˣ = 5
applying log to both sides
xlog 10 = log5
x = 0•699
HELP ME PLS :((
Question 8 of 10
If g(x) = 4x2 - 16 were shifted 7 units to the right and 3 down, what would the
new equation be?
A. h(x) = 4(x+ 9)2 - 17
B. h(x) = 4(x + 7)2 + 19
C. h(x) = 4(x - 9)2 - 17
D. h(x) = 4(x - 7)2 - 19
SUBMIT
Answer:
D
Step-by-step explanation:
Let us start with the standard equation of a parabola, [tex]y=a(x-h)^2+k[/tex]. To move the parabola up or down, we would change the value of k. k>0, the parabola goes upward. k<0, the parabola goes downward. To move the parabola left or right, we would change the h value. h>0, the parabola goes to the right. h<0, the parabola goes to the left. Also take note that a change of 1 unit on an h or k value reflects also a 1 unit translation on the graph of the parabola.
The question asks us to shift our parabola [tex]g(x)=4x^2-16[/tex] right 7 units and down 3 units. Therefore, we have:
[tex]g(x)=4(x-7)^2-16-3\\g(x)=4(x-7)^2-19[/tex]
D
I hope this helps! Let me know if you have any questions :)
A is the point with coordinates (x, 2y).
B is the point with coordinates (3x, 4y).
The midpoint of AB has coordinates (-4, 15).
Work out the values of x and y.
Answer:
x= -2 , y=5
Step-by-step explanation:
(x+3x)/2 = -4
4x/2 = -4
4x= -8
x = -2
(2y+4y)/2=15
6y/2=15
6y=30
y=5
The area of a playground is 5 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.
Answer:
The area of a playground is 20 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.
length = 1 yd, width = 20 yd
length = 2 yd, width = 10 yd
length = 10 yd, width = 2 yd
length = 20 yd, width = 1 y
What additional information is needed to prove the triangles congruent by SSS
Answer:
Angle a = Angle D
Answer:
A: Angle A Angle D
Step-by-step explanation:
pls help math pls pls
There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answer:
2:45
Step-by-step explanation:
2:45
URGENT PLZ HELP: Graph y = tanx for -pi/4 ≤ x ≤ x/4.
What is the range?
What is the solution to the system of equations
Answer:
Y = -8.17
X= -4.936
For the first one
Step-by-step explanation:
4x=26+6y
X = 6.5+1.5y
5(6.5+1.5y)-4y = 8
32.5+7.5y-4y = 8
24.5=-3y
Y = -8.17
X= -4.936
What is the cube root of 216xy18?
O 4xy
O 6xy
O 72xBy15
O 213x®y 15
The equation of a circle is (x-5)^2+(y-7)^2=36. What is the radius of the circle?
[tex] \boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}[/tex]
The equation of a circle is represented as :
[tex] \large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }[/tex]
where,
"h" represents x - coordinate of the center of circle "k" represents y - coordinate of the center of circle" r " represents Radius of the given circleSo, from above equation we get:
[tex] {r}^{2} = 36[/tex][tex]r = 6[/tex]Therefore, Radius of the given circle measures 6 units.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Nine split into four groups is two, with a ___ of one.