Answer:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
Step-by-step explanation:
We need to find two expressions with unlike denominators what sum
[tex]\displaystyle S=\frac{x-3}{x+2}[/tex]
Let's suppose one of the expressions is:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
Now we subtract S minus A to find the other expression B:
[tex]\displaystyle B=S-A=\frac{x-3}{x+2}-\frac{x-2}{x+3}[/tex]
Multiply the first fraction by x+3 and the second by x+2;
[tex]\displaystyle B=(x+3)\frac{x-3}{(x+3)(x+2)}-(x+2)\frac{x-2}{(x+3)(x+2)}[/tex]
Operating:
[tex]\displaystyle B=\frac{x^2-9}{(x+3)(x+2)}-\frac{x^2-4}{(x+3)(x+2)}[/tex]
Subtracting both fractions with like denominators:
[tex]\displaystyle B=\frac{x^2-9-(x^2-4)}{(x+3)(x+2)}[/tex]
Simplifying:
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
Thus the two expressions are:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
And
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
Help I need answers plzplzplz
Answer:
(2,0) , (4,-20) and (-1,-1)
Step-by-step explanation:
Evaluate the expression 2n - 6 if n = 16.
Answer:
[tex]26[/tex]
Step-by-step explanation:
[tex]2n-6[/tex]
Given that:
[tex]n=16[/tex]
To evaluate the expression, we must simply substitute the given value of [tex]n[/tex], which is [tex]16[/tex], for [tex]n[/tex]:
[tex]2(16)-6[/tex]
Multiply:
[tex]32-6[/tex]
Subtract:
[tex]26[/tex]
-
To check your work, simply set the given expression equal to our solution, [tex]26[/tex]:
[tex]2n-6=26[/tex]
Add [tex]6[/tex] to both sides of the equation:
[tex]2n=32[/tex]
Divide both sides of the equation by the coefficient of [tex]n[/tex], which is [tex]2[/tex]:
[tex]n=16[/tex]
Since it matches the given value of [tex]n[/tex], our solution is correct!
Answer:
26
Step-by-step explanation:
This is the answer because:
1) First, we have to substitue the value that stand for n into the equation:
2(16) - 6
2) Next, we have to follow the order of operations in order to find the answer:
1. 2 x 16 = 32
2. 32 - 6 = 26
Therefore, the answer is 26.
Hope this helps! :D
Andre led his baseball league in home runs last year. This year he hit 25% fewer home runs than he did last year.
If y represents the number of home runs Andre hit last year, which two of the following expressions can be used to calculate the number of home runs he hit this year?
Answer:
0.25y
Step-by-step explanation:
Find the value of a3 + 3b2 when a = 2 and b = -2
Given:
a = 2 and b = -2.
To find:
The value of [tex]a^3+3b^2[/tex].
Solution:
We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.
Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get
[tex](2)^3+3(-2)^2[/tex]
[tex]=8+3(4)[/tex]
[tex]=8+12[/tex]
[tex]=20[/tex]
Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.
I will give you brainlest plzzzz helppp!!!
Answer:
∠GEF = 25
Step-by-step explanation:
Here, we want to find the value of the marked angle
Please check the attachment for the diagrammatic representation of the triangle
Mathematically, the sum of opposite interior angles equals the exterior angle
We can have this sum as follows;
∠EFG + ∠GEF = ∠FGH
Thus;
2x + 1 + x + 19 = 6x + 2
3x + 20 = 6x + 2
6x-3x = 20-2
3x = 18
x = 18/3
x = 6
Now , substitute x into the ∠GEF
That will be;
6 + 19 = 25
1) Find Area of this polygon 4 cm I 5cm 1 cm 7 cm and the other one
Mike hiked to a lake in 4.5 hours at an average rate of 2
1
5
miles per hour. Pedro hiked the same distance at a rate of 2
3
5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.
It took Pedro
hours to reach the lake.
Answer:
It took Pedro 3.81 hours to reach the lake.
Step-by-step explanation:
Time taken by Mike to hike a lake = 4.5 hours
Average rate of Mike while hiking the lake = [tex]2\frac{1}{5}\ miles/hr[/tex]
Formula for distance can be seen as:
[tex]Distance = Speed\times Time[/tex]
Distance traveled by Mike = [tex]4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles[/tex]
Rate of Pedro while hiking the same distance = [tex]2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr[/tex]
Given that, Pedro also travels the same distance.
And we have to find the Time.
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}[/tex]
It took Pedro 3.81 hours to reach the lake.
How does the percent equation relate proportional quantities?
Answer:
Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
Step-by-step explanation:
Is (3, 1) a solution to the equation y = 3x?
Answer:
no
Step-by-step explanation:
it does not fall on the line
2(x + 14) = 40
Can you please do all the steps of solving this?
Ex:
8(7+1)3=192
8 x (7+1) x 3
8
8x8=64
64x3=192
total=192
Given:
The equation is
[tex]2(x+14)=40[/tex]
To find:
The solution of the given equation.
Solution:
We have,
[tex]2(x+14)=40[/tex]
Using distributive property, we get
[tex]2(x)+2(14)=40[/tex]
[tex]2x+28=40[/tex]
Subtracting 28 from both sides.
[tex]2x=40-28[/tex]
[tex]2x=12[/tex]
On dividing both sides by 2, we get
[tex]x=6[/tex]
Therefore, the solution of the given equation is x = 6.
Determine whether the given points are on the graph of y=2x+3 .
Select all points that lie on the graph.
(-4,-5)
(-3,-3)
(-1,0)
(-1,-4)
pls hurry I need help I will give brainiest also this question does not require a graph so I didn't send one
Answer:
(-4,-5) (-3,-3)
Step-by-step explanation:
[tex](-4,-5),(-3,-3)[/tex]
Coordinate GraphA coordinate graph is made up of two number lines that are perpendicular to each other. Axes are the names given to these numerical lines. Ordered pairs indicate positions on a coordinate graph. An ordered pair [tex](x,y)[/tex] is a coordinate graph location.Given equation is [tex]y=2x+3[/tex]
Put [tex](x,y)=(-4,-5)[/tex]
[tex]-5=2(-4)+3\\-5=-5[/tex]
Put [tex](x,y)=(-3,-3)[/tex]
[tex]-3=2(-3)+3\\-3=-3[/tex]
Put [tex](x,y)=(-1,0)[/tex]
[tex]0=2(-1)+3\\0\neq 1[/tex]
Put [tex](x,y)=(-1,-4)[/tex]
[tex]-4=2(-1)+3\\-4\neq 1[/tex]
So, [tex]\boldsymbol{(-4,-5),(-3,-3)}[/tex] lie on the graph [tex]y=2x+3[/tex]
Find out more information about the graph:
https://brainly.com/question/14375099?referrer=searchResults
WHAT IS THE ANSWER BECAUSE I POSTED THIS LAST TIME AND NO-ONE KNEW PLZ
Answer:
I think Paolo read more
Step-by-step explanation:
Because 35 percent of 40 equals 14, and Kamesh read 12 so Paola has read 2 more books than Kamesh.
Write an equation of the line in slope-intercept form.
f(3)=-2, f(0)=1
Answer:
The equation of the line in slope-intercept form is y = -x + 1
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept ⇒ value y at x = 0The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)
∴ f(3) = -2 is the point (3, -2)
∴ f(0) = 1 is the point (0, 1)
∴ x1 = 3 and y1 = -2
∴ x2 = 0 and y2 = 1
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{1--2}{0-3}[/tex] = [tex]\frac{1+2}{-3}[/tex] = [tex]\frac{3}{-3}[/tex]
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is the value of y at x = 0
∵ at x = 0, y = 1
∴ b = 1
∴ y = -x + 1
∴ The equation of the line in slope-intercept form is y = -x + 1
Find 30% of 320. Explain all your work
On Friday 40% of the customers who bought groceries at a H.E.B. Also bought a bag of ice. There were 160 customers who bought groceries. How many of these 160 customers bought a bag of ice?
Answer:
The answer is 64 customers
Step-by-step explanation:
We are told that 40% of the customers who bought groceries also bought a bag of ice.
The total customers is 160 customers
Required.
the number of customers that bought a bag of ice?
Step two:
Let us compute what 40% will amount to
40/100*160
=0.4*160
=64
Hence 64 customers bought rice
In one week the price of gasoline rose from $1.71 to $2.15 at BJs. What is the percent of change?
Answer:
25.731% increase
Step-by-step explanation:
(V2−V1)|V1|×100
=(2.15−1.71)|1.71|×100
=0.441.71×100
=0.25731×100
=25.731%change
=25.731%increase
Answer:
.44=44%
Step-by-step explanation:
just subtract both numbers and you get how much they added but then again it depends so my answer my not be right but give it a try if you like
I need to drag the AB,BC,CA or the numbers to the right place pls help
Answer:
I think option 3 hope it helps
Step-by-step explanation:
Best answer gets brainliest hurry ASAP
Answer:x=18
Step-by-step explanation:
x=\frac{36}{2}
Tyler has a baseball bat that weighs 44 ounces Find it’s weight in kilograms
Answer:
1.25 (2 decimal places)
Step-by-step explanation:
Divide the ounces by 35.274
a $320 dollar suit is marked down by 30%, find the sales price
Answer:
$224
Step-by-step explanation:
320(0.3) =96
320-96 = 224
Answer:
The answer is $96.
Step-by-step explanation:
Use friendly precnents and do 320/10=32 then you do 20/10 3 times and then you add them together and you get the answer.
Write an expression for the area of this rectangle, multiplying out your answer
(x+3) x (x+2)
Step-by-step explanation:
it should be *(x+3) x (x+2)* because area of rectangle = length x breadth
Please help me out.
Answer:
i think its the 3rd one or the second one........
Step-by-step explanation:
if im wrong pllzzzzz dont report me....
Plz help and I will give brainliest
Answer:
6 True False True False
7 41.979
Step-by-step explanation:
6. 24 and 18. 24 is 2*2*2*3 and 18 is 3*3*2
Common is 6.
so a is correct.
B is wrong because they have to be the same
C is correct.
D is wrong because 48 does not go into 18 easily.
12.329+10.45+19.2
41.979
Hope this helps :D
question;
3^n-3^n-1 ÷3^n+1+3^n
plz full explaination !if I got answer then brainleast if I get nonsense answers I will report !
plz fast!!!!!
Answer:
okay so I am assuming we are dividing okay so here is how we will do it
here are the top and bottom values written more easily
3^n -3^n-1
3^n+1 +3^n
so first we can cancel out the 3^n values then get left with this
3^n-1
3^n+1
now it depends on the instructions but you can leave it like this or you can subtract their powers to get
3^n-2
Step-by-step explanation:
help with this homework thanks
Answer:
240
Step-by-step explanation:
3 times 80 is 240 and 7 times 80 is 560. added together is 800. 800 is the total amount of people, so it works.
What is the graph of the function rule y=1/3x−1
40 is what percent of 160?
Answer:
25
Step-by-step explanation:
percentage calculator 40 is what percent of 160=25;)
Answer:
40/100×160
Step-by-step explanation:
2/5×160
320/5
64
ANYONE can help me out pleaseee
The number is scientific notation is written as a decimal. Click on the position of the decimal?
9.04 x 10 ^1
00009040000
Answer:
.00009494949
Step-by-step explanation:
this may be wrong
A square has an area of 48 square feet. What is the length of a side of the square, in feet?
Answer:
12 square feet is your answer.
Step-by-step explanation:
If you find this helpful please mark 5 stars and brainliest!
Answer:
Answer is below. Hope this helped, Have a Wonderful Day!!
Step-by-step explanation:
The sides can be found by taking the square root of the area.
(Area)1/2=s, where s = side.
(48)1/2= 24
So the length of a side is 24 ft.
Which shape has four congruent sides and two sets of parallel sides?
quadrilateral
rectangle
parallelogram
rhombus
Answer:
The other prson is right. Its parallelogram
Step-by-step explanation: