Answer:
There are two possible solutions for [tex]g(x)[/tex]:
[tex]g(x) = (x+3)^{2}-5[/tex]
[tex]g(x) = x^{2}-3\cdot x +4[/tex]
Step-by-step explanation:
From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:
[tex]g(x) = f(x) +5[/tex] (1)
If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:
[tex]g(x) = (x+3)^{2}-10+5[/tex]
[tex]g(x) = (x+3)^{2}-5[/tex]
[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]
[tex]g(x) = x^{2}-3\cdot x +4[/tex]
Answer:
There are two possible solutions
Step-by-step explanation:
a porcupine has a mass of 27 kg. A.
cat has a mass of 6,300 g. Which
animal has the greater mass?
Answer:
porcupine
Step-by-step explanation:
6300g = 6.3 kg
Step-by-step explanation:
the porcupine has more mass
In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)
∘
, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)
∘
, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)
∘
. What is the value of x?x?
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
What is one of the greatest problems in Brazil?
O education
O language
O transportation
Answer:
c transportation
Step-by-step explanation:
2. William's cell phone bill was $135.65. He had to pay $45 for
the plan and then pay per gigabyte. He used 5 gigabytes. How much
did he pay per gigabyte?
Answer:
gjkddjygdbdbexbdbdbdheeh$70
36/42 = 24/r what is r
Answer:
r=28
Step-by-step explanation:
36/42 = 24/r (determine the defined range)
36/42 = 24/r , r ≠ 0 ( Reduce the fraction)
6/7 = 24/r (cross multiply)
6x = 168 ( divide both sides)
r=28 , r ≠ 0
Answer:
r = 28
Step-by-step explanation:
Cross multiply and solve for r:
[tex]\frac{36}{42}[/tex] = [tex]\frac{24}{r}[/tex]
36r = 1008
r = 28
So, r = 28
Which of these factions are greater than 11/20
Which of the following is NOT a solution to the system of inequalities?
1. (0, 4)
2. (1, 2)
3. (2, 1)
4. (1, 5)
Answer:
3. (2, 1)
Step-by-step explanation:
The solutions are the points located inside the shaded region. The only point not located in that region is the point (2, 1). Therefore, (2, 1) is not a solution to the system of inequalities.
Write the equation of the line with the given slope and y intercept.
m = 0.25 b = 6
Answer:
y=−2x+6
Step-by-step explanation:
the equation of a line in slope-intercept form is. y=−2x+6 is the equation.
Pl help it’s for a grade I will give you Brainly if you are right a.0.80 b 1.00 c4.00 d 0.83
If the point (4,-2) Is Included in dun
OA. (4,2)
OB. (-4,-2)
OC. 12,-4)
OD. (-2,4)
What is the answer? Please help
Can somebody please help me this is all I need
please someone help me with this question
Write an integer (positive or negative whole number) to represent each description.
Integer Vocabulary
The football player had a 5-
yard loss on the play.
17 units to the left of -6 on a number
line.
Answer:
Football player= -5
Number line= -23
Step-by-step explanation:
Loss means negative
Left on a number line is subtraction
Solve for n.
[tex]\frac{2n-3}{5}[/tex]=5
1.) [tex]\frac{2n-3}{5} = 5[/tex]
/ 5 /5
(2n - 3) = 1
+3 +3
2n = 4
/2 /2
n = 2 <--- your answer
What is the surface area of this shape?
1. a rectangular room measures 10 feet by 12 feet. What is the area of the room?
2. What is the area of a rectangle with a base of 6 inches and height of 10 inches?
3. Travis is planting a rectangular garden that is 5 feet by 12 feet. One bag of soul covers 6 square feet. How many bags of soil does he need to cover the whole garden?
Answer:
1880... good luck.. have a grate day
please answer this, thank you
Answer:
3
Step-by-step explanation:
I have showed the steps in the attached image.
4 • (6 – 4) 2 ÷ 2
Cary says the value of this expression is 40. Is he right? If not, give the correct answer
ez question, just kinda distracted and need to get by it.
Answer:
Cary is wrong
Step-by-step explanation:
4* (6-4)= 4* 2=8
I think it is saying (8*2) divided by to, which in that case is 8,
but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)
Answer:
Cary is inncorrect. It is 4.
I need help with math work pls explain
Answer:
0.1 % first question
0 second question
A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
Please help
Thank you
Given:
A line AB joins the points A (3,4) and B (5,8).
To find:
The midpoint of the line AB.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is
[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]
[tex]Midpoint=\left(4,6\right)[/tex]
Therefore, the midpoint of the line AB is (4,6).
The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?
Answer:
[tex]S_g= 33.333cm[/tex]
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
[tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]
Mathematically solving for total distance traveled we have
[tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]
[tex]S_g=\frac{30}{0.9}[/tex]
Therefore the total distance traveled by the pendulum after 5 swings
[tex]S_g= 33.333cm[/tex]
Need answer to this question please
Answer:
33
Step-by-step explanation:
4:7
7+4=11
11 parts
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40
there are 33
33 is a multiple of 11
please give me brainliest!!<3
Answer:
i would go to khan academy and look up the topic your learning about. I think sal (the creators of the videos) has a video on this!!
what is the geometric mean of 0.5 and 2
Answer:
5
Step-by-step explanation:
I need help in geometry urgently!!!
Answer:
x = 6
Step-by-step explanation:
According to Exterior Angle Property of a triangle , measure of an exterior angle is the sum of its opposite interior angles.
Using the exterior angle property ,
[tex]17x - 23 = 3x + 17 + 8x - 4[/tex]
[tex] = > 17x - 23 = 11x + 13[/tex]
[tex] = > 17x - 13x = 23 + 13[/tex]
[tex] = > 6x = 36[/tex]
[tex] = > x = \frac{36}{6} = 6[/tex]
How does 10 x (-3)^24 simplify to positive 10 x 3^24 and not negative 10 x 3^24 ?
Answer:
Below.-
Step-by-step explanation:
Because when a negative is taken to an even power the results is positive.
So (-3)^24 is positive as 24 is even, and is the same as 3^24, and so the whole expression
10 * (-3)^24 = 10 ^ 3^24.
Pentagon ABCDE is dilated according to the rule DO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph. On a coordinate plane, pentagon A prime B prime C prime D prime E prime has points (negative 3, 6), (negative 0.5, 8), (2, 6), (1, 3), and (negative 2, 3). What are the coordinates of point A of the pre-image?
Answer:The coordinates of point A are (-1, 2).
Step-by-step explanation:
Edge
Answer:
-1/2
Step-by-step explanation:
yes
What is the sum of the measures of the interior angles of a 7-gon?
Answer:
900°
Step-by-step explanation:
What is the sum of the measures of the interior angles of a 7-gon?
The formula to measure the interior angles of a polygon
= (n- 2) × 180 °
Where,
n = number of sides
We are given 7 - gon
This means it has 7 sides = Heptagon
Hence,
The measure of the interior angle is given as:
(7 - 2) × 180°
= 5 × 180°
= 900°
The sum of the interior angles of a 7-gon is 900°
Please answer this question
Answer:
Properties of operations help a lot in solving problems related to integers and rational numbers. Step-by-step explanation: ... These properties are used to solve problems involving rational numbers as well as integers. These properties are associative,commutative, distributive and identity.
Step-by-step explanation:
pls give me brainliest
Pls help :(
Clare and Han are discussing how to find the missing lengths. Clare says she is using similarity. Han says he is using the Pythagorean Theorem.
Find the missing sides
Answer:
similarity
Step-by-step explanation:
look , dude
the two triangles have the following features:
the angle B= angle C = 90 degree
the angle A= the angle F
so the third angle in the first triangle = the third angle in the second triangle
so you have one condition of similarity which is the three angles are equal
to get the answer for lengths :
ab/fe= constant of proportionality
thus ab/fe=2.5/5=.5
so ac/13=.5 thus ac=6.5
and 6/de=.5 so de=12
Both similarity and Pythagorean theorem can be used to find the missing lengths as AC = 6.5 and DE = 12.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles.
Pythagorean theorem states that for a right angled triangle,
Hypotenuse² = Base² + Altitude²
AC² = BC² + AB²
AC² = 6² + 2.5²
AC² = 42.25
AC = √(42.25) = 6.5
Similarly,
DF² = DE² + EF²
13² = DE² + 5²
DE² = 13² - 5²
DE² = 144
DE = √(144) = 12
If we are using the concept of similarity, ratio of corresponding sides are equal for similar triangles.
AB / EF = BC / DE = AC / DF
2.5 / 5 = 6 / DE = AC / 13
Consider 2.5 / 5 = 6 / DE
Then DE = (6 × 5) / 2.5 = 12
Consider AB / EF = AC / DF
2.5 / 5 = AC / 13
AC = (2.5 / 5) × 13 = 6.5
Hence the missing lengths are AC = 6.5 and DE = 12.
To learn more about Similar Triangles, click :
https://brainly.com/question/14926756
#SPJ5