Answers
Answer:
8. h( f(x) ) = x²+14x+52
9. h( g(x) ) = 2x
Step-by-step explanation:
These questions are asking you to sub a function into another, and you solve by doing that the same way you would with a number. For example, if question 8 was h(3) instead of h(f(x)), you would sub 3 into h(x) wherever you saw an x, and evaluate. It's the same idea here, just with functions.
8.
h(x)=x²+3
h( f(x) ) = ( f(x) )²+3
h( f(x) ) = ( x+7 )²+3
h( f(x) ) = ( x²+14x+49 )+3
h( f(x) ) = x²+14x+52
9.
h(x)=x²+3
h( g(x) ) = ( g(x) )²+3
h( g(x) ) = ( [tex]\sqrt{2x-3}[/tex] )²+3
h( g(x) ) = (2x-3)+3
h( g(x) ) = 2x
Related Questions
What is the perimeter of the rectangle 2 cm x 2 cm and 1 cm x 1 cm
Answers
Answer:
l=P over 2﹣w
Step-by-step explanation:
ABSOLUTELY NO LINKS. please help with percentages
Answers
Answer:
1.307%
4.38%
5.696%
Step-by-step explanation:
Cuánto tarda un vehículo en recorrer 26 km con una velocidad constante de100km/h
Answers
Answer:
Un vehículo tardará 15 minutos y 36 segundos en recorrer 26 km con una velocidad constante de 100km/h.
Step-by-step explanation:
Para determinar cuánto tarda un vehículo en recorrer 26 km con una velocidad constante de 100km/h se deben realizar los siguientes cálculos:
(26/100) x 60 = X
0.26 x 60 = X
15.6 = X
1 = 60
0.6 = X
0.6 x 60 = X
36 = X
Por lo tanto, un vehículo tardará 15 minutos y 36 segundos en recorrer 26 km con una velocidad constante de 100km/h.
Please help it’s a test! Brainliest
Find the unit rate round to nearest hundredth if necessary!
No files please :)
Answers
Answer:
the correct answer is [tex] 4\frac{1}{2} [/tex]
Find the length of side x in simplest radical form with a rational denominator. 60 30 x 5
Answers
Answer:
6?
Step-by-step explanation:
Given ABCD as marked, what additional information would help you to prove that ABCD is a square? Pls I rlly need help
Answers
9514 1404 393
Answer:
a. AC ≅ BD
Step-by-step explanation:
All four sides are marked as being the same length. This means the figure is a parallelogram and a rhombus.
Diagonals bisect each other in any parallelogram. They are perpendicular, and bisect the corner angles, in any rhombus. Choices b, c, and d add no new information.
In order to show the figure is a square, you must show this rhombus is a rectangle: the diagonals must be the same length. That is you must show ...
AC ≅ BD
_____
Additional comment
You may be given problems with coordinates, and asked to show the figure is a parallelogram, rectangle, rhombus, or square. Often, the problem is given with the intent that you use slope and length formulas on the given points to prove opposite sides are parallel and the same length. IMO, these problems are much simpler if you show the appropriate relation exists between the midpoints, slopes, and lengths of the diagonals.
f(x) = (x-3)(x+2)(x + 4)(x - 1)(2x – 9) has zeros at x = -4, x = -2, x = 1, x = 3, and
x = 9/2
What is the sign of f on the interval -2 < x < 9/2?
Choose 1 answers
A: f is always positive on the interval.
B: f is always negative on the interval.
C: f is sometimes positive and sometimes negative on the interval.
Answers
Answer:F is sometimes positive and sometimes negative on the interval.
Step-by-step explanation:
Which of the following phrases are equations? Choose 2 answers: 3 b = 9 7 + 19 = 26 a + 9 > 72 | 0 ty 1
Answers
Answer:
B and C
Step-by-step explanation:
Both have = signs
Answer:
B C
Step-by-step explanation:
B C
HELP PLEASE, I will give brainliest! Algebra work!
Answers
Answer:
I'm pretty sure its y-3.5=-1.25x
Step-by-step explanation:
If all of the diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed?
1
2
3
04
Answers
Answer:
4
Step-by-step explanation:
From the chioces give it would be 4
But it is actually 8
Point P divides the directed segment from A to B in the ratio 9 to 2. The coordinates of point A are
(-4,-2) and the coordinates of point P are (2, 1). Find the coordinates of point B. Round your answer to
the nearest tenth if necessary.
Answers
Answer:
[tex]B =(3.3,1.7)[/tex]
Step-by-step explanation:
Given
[tex]A(x_1,y_1) = (-4,-2)[/tex]
[tex]P(x,y) = (2,1)[/tex]
[tex]m : n = 9 : 2[/tex]
Required
The coordinates of [tex]B(x_2,y_2)[/tex]
The line segment from ratio is calculated as:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute: A, P, m and n
[tex](2,1) = (\frac{9 * x_2 + 2*-4}{9+2},\frac{9*y_2 +2 *-2}{9+2})[/tex]
[tex](2,1) = (\frac{9x_2 -8}{11},\frac{9y_2 -4}{11})[/tex]
Multiply through by 11
[tex](22,11) = (9x_2 -8,9y_2 -4)[/tex]
By comparison:
[tex]9x_2 - 8 = 22[/tex]
[tex]9y_2 - 4 = 11[/tex]
So, we have:
[tex]9x_2 - 8 = 22[/tex]
[tex]9x_2 = 22 +8[/tex]
[tex]9x_2 = 30[/tex]
Solve for x2
[tex]x_2 = 30/9[/tex]
[tex]x_2 = 3.3[/tex]
[tex]9y_2 - 4 = 11[/tex]
[tex]9y_2 = 11+4[/tex]
[tex]9y_2 = 15[/tex]
Solve for y2
[tex]y_2 =15/9[/tex]
[tex]y_2 =1.7[/tex]
So, the coordinates of B is:
[tex]B =(3.3,1.7)[/tex]
What is 767,000 expresses in scientific notation
Answers
Answer:
767,000 in scientific notation is [tex]7.67*10^5[/tex].
Step-by-step explanation:
A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 and multiplied by a power of 10. In this case, if 767,000 were to be written in scientific notation, then you need to move the decimal place of the number until you have a number that meets the requirement above. 7.67 would be the number to use, and you need to multiply that by a power of 10 that makes the product the original number, so the power would be 5. So 767,000 in scientific notation would be [tex]7.67*10^5[/tex].
Please tell me if any are wrong. Thankyou. I will give brainliest
Answers
Answer:
Those are all correct!
Step-by-step explanation:
Great Work! Have a Nice Day!
Answer:
nope ur good
Step-by-step explanation:
but the 4th one is wrong
In 2005, the population of a state was 31,006,000. If the population grows at 1.2% per year, approximately how
many years (from 2005) will it take the population to reach 40,000,000? (Assuming it grows at the same rate)
use the continuous growth function:
A=pen
150 years
249 years
21 years
26 years
Answers
Answer:
Step-by-step explanation:
Population of the state will reach 40,000,000 in 21 years from year 2005.
Option (3) will be the correct option.
Exponential growth of the poulation: Exponential growth for the population growth is given by the expression,
F = I(1 + r)ⁿ
Here, F = Final population
I = Initial population
r = Growth rate
n = Number of years for population growth
Given in the question,
Initial population = 31006000Growth rate = 1.2%Final population = 40000000To find the number of years for population growth, substitute the values,
F = I(1 + r)ⁿ
40000000 = 31006000(1 + 0.012)ⁿ
40000 = 31006(1.012)ⁿ
[tex](1.012)^n=\frac{40000}{31006}[/tex]
[tex]\text{log}(1.012)^n=\text{log}(1.29)[/tex]
nlog(1.012) = log(1.29)
0.00518n = 0.11059
n = [tex]\frac{0.11059}{0.00518}[/tex]
n = 21.34
n ≈ 21 years
Therefore, population of the state will reach 40,000,000 in 21 years from 2005. Option (3) will be the answer.
Learn more about the exponential degrowth here,
https://brainly.com/question/25704728?referrer=searchResults
Find the measure of angle w.'
5 points
wo
124°
О124
О 34
оооо
56
Answers
Answer:
56
Step-by-step explanation:
Angles w and 124 are linear pair angles,
w + 124 = 180
w = 180 - 124
w = 56
What is the domain of the following relation? {(-3, -8), (-2, 9), (1, -1), (5, 3)}
Answers
Answer:
Domain:
{−3,−2,1,5}
Step-by-step explanation:
The domain of the given relation is {-3, -2, 1, 5} of the following relation {(-3, -8), (-2, 9), (1, -1), (5, 3)}
The domain of a relation refers to the set of all possible input values or x-values in the relation. In the given relation {(-3, -8), (-2, 9), (1, -1), (5, 3)}, the x-values or the first components of each ordered pair represent the domain.
The domain of a relation is the set of all possible input values or x-values for which the relation is defined. It represents the range of values that can be used as inputs to the relation to obtain corresponding outputs. In other words, the domain is the set of values that the independent variable can take in the relation.
Therefore, the domain of the given relation is {-3, -2, 1, 5}.
To know more about domain here
https://brainly.com/question/26098895
#SPJ2
A field is shaped like the figure shown. What is the area of the figure? (Use 3.14 as PI)
Answers
ummmmmmm, there is no picture
Find the missing leg of the right triangle where one leg is 8 and
hypotenuse =16 (round to the nearest tenth.)
Answers
Answer:
im not sure!! sorry
Step-by-step explanation:
I'm not smart
Answer:
13.85
Step-by-step explanation:
You square 16 and get 256. Then you square 8 ang get 64. then you subtract 64 from 256. You get 192, you square root that and get 13.85.
Select all the equations that have no solution.
Answers
Answer:
A is the corect answer
Step-by-step explanation:
when solved it will equal 0=4 which is a contridition.
Answer:
B,C And D have no solution
A has infinit solutions
Wake up and help me out thank youuuuu !!!!
Answers
What is the area of a circle that has the radius of 4?
Answers
Answer:
4^4 = 16
16 x 3.14 = 50.24
Step-by-step explanation:
Formula of an area of a circle is:
radius squared x pi(3.14 or 22/7 or whatever they use for pi)
Answer:
Step-by-step explanation:
A= 50.27
What’s the answer (no link I give brainly)
Answers
Answer:
C
Step-by-step explanation:
i got this correct on my test
Please answer this I'm confused with it
Answers
Answer:
x intercepts are (4,0) and (-6,0)
axis of symmetry is x=-1
vertex is (-1,-25)
Step-by-step explanation:
Answer:
x intercepts are (4,0) and (-6,0)
axis of symmetry is x=-1
vertex is (-1,-25)
Step-by-step explanation:
1. Rose finished reading 58 pages of her History Book. The book has
a total of 179 pages. How many pages does she still have to read?
Equation:
Solution:
2. A number increased by 15 equals 70.what is the number?
equation:
solution:
Answers
Answer:
Step-by-step explanation:
a) 179-58 = 121 pages
b) 15 x 70 = 1050
Bryce is building a triangular prism for a roof of a dollhouse. All the sides of the roof will be painted except the bottom. Which net has shaded faces for the faces that will be painted?
Answers
Answer:
the 3 one
Step-by-step explanation:
i got a 100%
please help. I Will mark you brainliest if correct. ( links will be banned)
Answers
Answer:
its C
Step-by-step explanation:
Answer:
If he can jog 14 in 2, that means 7 in one hour
then divide 7 by 4 because its 1/4 of an hour
1.75
hope this helps
Step-by-step explanation:
Al resolver la siguiente adición de fracciones 2/3 + 1/2 + 1/8 , se obtiene
Answers
Answer
31/24
Step-by-step explanation:
16/24 + 12/24 + 3/24 = 31/24
Divide.
-2 5/12 divided by 1/3
Answers
Answer:
Step-by-step explanation:
-7.25
:D hope it helps
Answer: -7 1/4
Please mark as brainlist
A rectangular prsim has a volume of 144 cubic yards. The height of the prism is 12 yards, and the width of the prism is 2 yards. Caculate the length of the prism.
Answers
Volume is 144
Height is 12
Width is 2
144=L*2*12
144=L*24
144/24=L
6=L
Length is 6 yards
Find the measure of the angle indicated in bold
Plss help
Answers
Answer:
Solution given:
9x-4=8+7x[Vertically opposite angle]
9x-7x=8+4
2x=12
x=12/2
x=6
:.8+7x=8+7×6=50°
Answer:
50
Step-by-step explanation:
9x - 4 = 8 + 7x
x = 6
Therefore, 8 + (7 *6) = 50
The measure of the angle is 50
Thenks and mark me brainliest :)))