Answer:
17x² + 2x – 3
Step-by-step explanation:
(9x2 + 3x – 5) + (8x2 – x + 2) →
(9x² + 3x – 5) + (8x² – x + 2) →
[Group like terms]
(9x² + 8x²) + (3x – x) + (2 – 5) →
[Simplify]
17x² + 2x – 3
g(x)=3x+2 and h(x)=ax+B
where a and b are constants
h(4)=22
g^-1(14)=h(1)
find the value of a and the value of b
Answer:
a=6
b=-2
Step-by-step explanation:
You can use the hint provided on the mathswatch question page, I've attached it below
step 1
h(4) = ax+b = (ax4)+b = 4a+b
it is given in the question that h(4)=22, therefore 4a+b=22
step 2
work out the equation for inverse g
g^-1(x) = [tex]\frac{x-2}{3}[/tex]
step 3
input 14 into the equation in place of x to find g^-1(x)
[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]
so, g(x)^-1=4
step 4
find h(1):
h(1) = (ax1)+b = a+b
so, h(1)=a+b
step 5
a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))
step 6
Now you have two simultaneous equations:
4a+b=22
a+b=4
then, solve for a:
4a+b=22
- a+b=4
3a=18
a=6
then, input answer for a into either equation (I've gone with the a+b=4 equation):
6+b=4
-6 - 6
b=-2
(p.s i know this is very late but hope it helps someone)
Hi! Please explain how you got your answer, thank you so much! :))
need help on this plz
Miguel bought a ¾ pound bag of chocolate chips. He used ⅘ of the bag in his chocolate chip cookies. How many pounds of chocolate chips did he use?
Convert to percentages to understand the question better:
3/4 = 75%
4/5 = 80%
What is 80% of 75%?
Convert the percentages to decimals:
75% = 0.75
80% = 0.8
Calculate:
0.8 × 0.75 = 0.6
Convert back to original problem's format (fraction):
0.6 = 60% = 6/10 = 3/5
Miguel used 3/5 pounds of chocolate chips.
this is the third time and i a really annoyed as i am having my time wasted and points
plz help me
Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
Find the area of the shaped region
Answer:
377 cm2 !!!!! i hope its correeect!> <
Step-by-step explanation:
PLEASE HELPPP!! Noah jumped eight inches farther than the sum of the jumps made by his teammates Ava and Logan. Which equation represents the length of Noah’s jump?
A. z = x + y − 8; x represents Logan's jump, y represents Ava's jump, and z represents Noah's jump.
B. x = 8 + y + z; x represents Logan's jump, y represents Noah's jump, and z represents Ava's jump.
C. y = x + z − 8; x represents Ava's jump, y represents Noah's jump, and z represents Logan's jump.
D. x = y + z + 8; x represents Noah's jump, y represents, Logan's jump, and z represents Ava's jump.
Answer:
d
Step-by-step explanation:
You select a marble without looking and then put it back. If you do this 6 times, what is the best prediction possible for the number of times you will pick a green marble?
help fast
Answer:
the possible prediction of getting a purple or blue is 2 out of 6
Step-by-step explanation:
(hope this helps can i plz have brainlist :D hehe)
Will give brainiest! if a line contains the points in the table below which is the equation of the line
Answer:
The answer is C
Step-by-step explanation:
5(-8) is equal to -40 and -40 minus 2 would give you -42
You could try it with the others if you want
Answer:
The answer is C
Step-by-step explanation:
to find slope do
-42 - (-17) = -25
and
-8 - (-3) = -5
then
-25/-5 = 5 as the slope
to find the y-intersept look where x = 0
so the y-intersept is -2
linear equation is y=mx+b
m = slope
b = y-intersept
so y = 5x - 2
Miguel compró 6 azulejos cuadrados cuya área es de 49 cm^2 cada uno y los ubicó en dos columnas de tres azulejos en la pared. ¿Cuál es el perímetro del rectángulo formado por estos azulejos en dicha disposición?
Answer:
the perimeter of the rectangle is 70 cm
Step-by-step explanation:
The computation of the perimeter of the rectangle is given below:
first we determine the side of each tile i.e.
l² = A
l² = 49cm²
l = √49cm²
l = 7cm
now we calculate the perimeter i.e.
P = 2 (3 (7cm) + 2 (7cm))
= 2 (21cm + 14cm)
= 2 (35cm)
= 70cm
Hence, the perimeter of the rectangle is 70 cm
Hi, please explain how you got the answer, thanks!
Answer: 24
Step-by-step explanation:
FIrst solve:
x-2.5 =+-12
1) x=14.5
2) x= -9.5
add both of them( get rid of the minus sign) 14.5+9.5 = 24
Martha conducts aerobics three times a week in her home in the first group there are 19 members in the second 22 and the third 14 how many people attend aerobics at Martha’s althougher
Answer: 55 people attend aerobics at Martha’s altogether
Step-by-step explanation:
Martha conducts aerobics three times a week in her home.
Number of members in first group = 19 members
Number of members in second group = 22 members ; and
Number of members in third group = 14 members
To find the number of people who attended aerobics we have to add the number of members in all tge three groups.
So, number of people who attended aerobics at Martha’s altogether = 19 + 22 + 14 = 55 members
Hope it helps.
Thank you :)
Step-by-step explanation:
Can u help me pls? Thanks
Answer:
D ; y = (4/3)x + 2
Step-by-step explanation:
The general form of the equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
Now, let us represent the given equation in this general form
We have this as;
4y= -3x + 12
divide through by 4
y = -3/4x + 3
Now, the slope of this equation is -3/4
Mathematically, when two lines are perpendicular, the product of their slopes is -1
let us have the slope of the second equation as m2
-3/4 * m2 = -1
-3m2 = 4 * -1
m2 = -4/-3
m2 = 4/3
so, the equation that is perpendicular will have its slope as 4/3
Looking through the options given as we have the equations in the general form, the equation D is the correct answer
D ; y = (4/3)x + 2
Please help im almost done (this is 12 year old math)
Answer:
1.) 12m = d
2.) 120
Answer:
d=12m
$120
Explained
part 1:
d=12m (dollars = $12 times the m (the number of mows))
part 2:
m=10
d=12 (10)
d=$120
What is the angle of rotation for the following figure?
60°
72°
90°
120°
Answer:
72
Step-by-step explanation:
360/5 = 72
The angle of the rotation will be 72°. Then the correct option is B.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Rotation does not change the size and shape of the geometry. But change the orientation of the image.
The pentagon is shown.
The angle of rotation of the pentagon such that the pentagon will remain in the same position.
Then the angle of the rotation is given as,
⇒ 360° / n
Where n be the number of the sides of the polygon.
In pentagon, the number of the sides will be 5.
Then the angle of the rotation will be
⇒ 360° / 5
⇒ 72°
Thus, the angle of the rotation will be 72°
Then the correct option is B.
More about the transformation of geometry link is given below.
https://brainly.com/question/22532832
#SPJ5
What is the surface area of this figure?
15 in
10 in
10 in
Answer: 800
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
The surface area of the figure is 40 + 5π.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
From the figure,
We have a semicircle and a rectangle.
Now,
Diamter = 10 in
Radius = 5 in
Circumference = 2πr
Semicircle circumference = πr
Now,
The surface area of the figure.
= 15 + 10 + 15 + πr
= 40 + 5π
Thus,
The surface area of the figure is 40 + 5π.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ2
The complete question.
The figure is attached.
Which scenario could be best represented by the graph?
A a ballon descending
B a car increasing speed
C a person climbing up the stairs
D a child swinging on a swing
Answer:
I think swinging.
Step-by-step explanation:
I think this because that is the only one that would explain why the distance decreases and increases.
Sarah started with 40 pieces of gum and gave away x pieces . Gerardo started with 24 pieces of gum and gave away twice as many pieces Sarah did . how many pieces of gum did Sarah give away if they had same number of pieces of gum left
Find the slope between the following two points.
(-4,0)(5,-8)
Answer:
-8/9.
Step-by-step explanation:
The slope = difference in y-values / corresponding difference in x values
Slope = (-8-0)/(5 - (-4))
= -8/9.
Find area of parallelogram plz
Answer:
A)
Step-by-step explanation:
The answer is A) because the formula to solving the area of a parrellogram is b x h
What is the value of the expression 10-1/2^4x48
Answer:
7
Step-by-step explanation:
ughhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
b
Step-by-step explanation:
that means she could have
3 males
2 males then a female
or a male, then a female, then a male again.
but same goes for female
HELP I need the work too
Answer:
C) 36
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
Given:
b = 9
h = 8
Work:
A = 1/2bh
A = 1/2(9)(8)
A = 4.5(8)
A = 36
If f(x) equals 4^x- 8 and g(x) equals 5times + 6, find (f-g)(x)
I will give brainliest please help
Answer:
Third option : 9^10 / 9^2
Step-by-step explanation:
9^2 . 9^6
Formula / Identity : -
a^m . a^n = a^( m + n )
Here,
a = 9
m = 2
n = 6
9^2 . 9^6
= 9^( 2 + 6 )
=9^8
9^10 / 9^2
Formula / Identity : -
a^m / a^n = a^( m - n )
Here,
a = 9
m = 10
n = 2
9^10 / 9^2
= 9^( 10 - 2 )
= 9^8
Therefore,
9^10 / 9^2 is equivalent to 9^2 . 9^6.
What is the inequality for x -3 < 5 (10 points for this question)
answer is x<8
Step-by-step explanation:
PLSSSSSS HELP I WILL GIVE BRAINLEST I PROMISSSSSSSSSSSSSE
Answer:
option (C) is right answer
Answer:
this is for scaming me HAH
Step-by-step explanation:
Surface Area:Question 10
Lamar plans to paint the net above before folding it into a
triangular prism. What is the surface area he will paint?
13 cm
10 cm
Select one:
12 am
13 cm
840cm
20 cm
O
780cm
810cm
ОО
0 720cm
Answer:
Don't understand 12am like how
If u can help me do this.. You are a LEGEND✨
Answer:
The answer is the 3rd one i think ,
Step-by-step explanation:
The real answer is 23 and the nearst item among these , is 20.2% .
Hope this helps u .
Good luck ^^
what are the factors of 64 that have a sum of 16
Anwnser 8
Step-by-step explanation:
2,4,6,8,32