The difference between the x/(x²+3x+2) - 1/[(x+2)(x+1)] then the correct option is D (x-1)/(x²+3x+2).
How to form mathematical expressions from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.
For example, if it is asked to increase some item by 4, then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.
x/(x²+3x+2) - 1/[(x+2)(x+1)]
x² + 3x + 2 = x² + 2x + x + 2
= x(x + 2) + (x + 2)
= (x + 2)(x + 1)
= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]
= (x-1)/[(x+2)(x+1)]
= (x-1)/(x²+3x+2)
Thus, the correct option is D (x-1)/(x²+3x+2).
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Need this quick!!!
Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A function assigns the values. The correct option is graph X.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function which is giving a constant term is the graph on the right, while the function where the value of x increases to positive infinity is the upper graph.
Hence, the correct option is graph X.
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pls help me to find the answer e,f,g,h no. only
1. Change both numbers to common base.
2. Use quotient rule [tex]a^x \div a^y = a^{x-y}[/tex]
e)
You can write 9 as 3², then both numbers have the same base.
[tex]9^x = (3^2)^x = 3^{2x}[/tex], where x is the exponent
I cannot really see the exponents because picture is bad quality.
[tex]9^x \div 3^y =[/tex]
[tex]= (3^2)^x \div 3^y =[/tex]
[tex]=3^{2x} \div 3^y =[/tex]
[tex]= 3^{2x-y}[/tex]
You want to replace x and y with actual numbers, but as I said the picture is too bad.
f)
Convert to base 4, then quotient rule.
g)
Use the quotient rule, you already have same base.
h)
Convert to base [tex]\frac{2}{3}[/tex], then quotient rule.
Warm-Up
Simplify each algebraic expression. Drag the tiles to the correct boxes to complete the pairs.
Tiles
5x+2
5x-2
-5x+2
12x+8 - 7a
10
a +17--15
8-12
10+ 7m
9----7
-5x-2
Pairs
Answer:
The answers are in order as is shown in the photo:
5x-2
5x+2
-5x-2
-5x+2
The correct matches are shown in the picture after simplification of every expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have expressions shown in the picture:
First expression:
= 12x + 8 - 7x - 10
= 5x -2
Second expression:
= 17x/3 + 17 - 2x/3 - 15
= 5x + 2
Third expression:
= 8 - 12x - 10 + 7x
= - 5x - 2
Fourth expression:
= 9 - 9x/2 -x/2 - 7
= -5x + 2
Thus, the correct matches are shown in the picture after simplification of every expression.
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Jun 13, 9:53:10 AM
Penelope left her house and drove to the store. She stopped and went inside. From
there, she drove in the same direction until she got to the bank. She stopped and went
inside the bank. Then she drove home. The graph below shows the number of blocks
away from home Penelope is a minutes after she left her house, until she got back
home.
25
24
23
22
(Blocks from Home) help
HELP ASAP WILL GIVE BRAINLIEST!!!!
Complete the missing parts of the
table for the following function.
y = (1/1) x
x -2 -1 0 1
3
y [?] 2 []
]]
1
2
214
2
Enter
Answer:
4, 1, and 1/8
Step-by-step explanation:
If I am correct, the x is being raised as an exponent.
Since the x-values are already given, we can plug them into the function.
If x= - 2, then [tex](\frac{1}{2} )^{-2} = 4\\[/tex]
Anything raised to 0 is 1, so when x=0, y=1.
If x=3, then [tex](\frac{1}{2})^3 = 1/2*1/2*1/2 = 1/8[/tex]
Therefore, the correct answers are:
(-2, 4) (0, 1) (3, [tex]\frac{1}{8}[/tex] )
what graph is?
y< -3x- 2
y> -3x+8
Answer:
Step-by-step explanation:
Which proportion is set up correctly?
Answer:
D 4/9 = 12/n
Step-by-step explanation:
sides that are 9 and n are hypotenuses of their triangles
sides that are 4 and 12 are bases of their triangles
please help me answer ASAP
Answer: 3.6
Explanation:
[tex]\tan 56^{\circ}=\frac{EG}{\sqrt{6}}\\EG=\sqrt{6} \tan 56^{\circ} \approx \boxed{3.6}[/tex]
solve 8n + 20 < 6n + 24
possible answers:
n > 2
n > -2
n < -2
n < 2
Answer:
n < 2
Step-by-step explanation:
This inequality can be solved the same way the corresponding 3-step linear equation would be solved.
8n +20 < 6n +24 . . . . . given
2n +20 < 24 . . . . . . . . step 1, subtract 6n to isolate the variable on the left
2n < 4 . . . . . . . . . . . . step 2, subtract 20 to separate constants and variable terms
n < 2 . . . . . . . . . . . divide by the coefficient of the variable
What is the center and radius of a circle whose equation is x2 + y2 -2x -6y -5 = 0?
x²+y²-2x-6y-5=0
x²-2x+y²-6y=5
x²-2x+1+y²-6y+9=5+1+9
(x-1)²+(y-3)²=15
(x-1)²+(y-3)²=(V15)²
-> centre of the circle: C(-1,-3)
-> radius of the circle: V15
what happens when my k12 supplys are damaged such a books and stuff? i really need to know and how much money i would have to pay
Answer: Report missing or damaged course materials.
What is the surface area of the rectangular prism? a rectangular prism with a length of 7 inches, width of 9 inches, and height of 4 inches. [not drawn to scale] 99 square inches 127 square inches 252 square inches 254 square inches
The surface area of the rectangular prism will be 254 square inches. Then the correct option is D.
What is the surface area of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as
SA = 2(LW + WH + HL)
A rectangular prism with a length of 7 inches, a width of 9 inches, and a height of 4 inches.
Then the surface area of the rectangular prism will be
SA = 2 (7 x 9 + 9 x 4 + 4 x 7)
SA = 2 (63 + 36 + 28)
SA = 2 x 127
SA = 254 square inches
Then the correct option is D.
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the radius of a scooter wheel is 14cm. How many revolutions does the wheel make if the scooter travels 4.4km? take π=22/7
Please help my bro solve this.. i don't have time thanks
Answer:
5000
Step-by-step explanation:
in order to find how many revolutions, you need to find the circumference of the circle which is 2pi r.
thus, you will get this working out:
circum= 2 times 22/7 times 14
= 88cm
4.4 km = 440000cm
Then, 440000cm divide 88 cm =5000.
Thus, 5000 revolutions.
A 2.8 metre long ribbon costs rupees 4.90. how much would a 1 metre ribbon cost
Answer:
A one metre ribbon would cost 1.75 rupees.
Step-by-step explanation:
By dividing 2.8 by itself, we get 1. When we divide 4.90 by the same amount, we get 1.75.
Find the number a for which x=5 is a solution of the given equation.
x+8a=25+ax-7a
a=
Step-by-step explanation:
x + 8a = 25 + ax - 7a
x = 5
5 + 8a = 25 + 5a - 7a
5 + 8a = 25 - 2a
5 + 10a = 25
10a = 20
a = 2
An equation is shown below: 4(2x − 3) = 1 Which of the following correctly shows the first two steps to solve this equation? Step 1: 6x − 7 = 1; Step 2: 6x = 8 Step 1: 6x + 1 = 1; Step 2: 6x = 0 Step 1: 8x − 12 = 1; Step 2: 8x = 13 Step 1: 8x − 3 = 1; Step 2: 8x = 4
Step-by-step explanation:
Step 1: 8x -12= 1
step 2: 8x =13
hope you understand.
pls like and follow
Write a quadratic function in standard form that passes through (-8, 0), (-2, 0), and (-6,8).
f(x) =
Answer:
-10xsquared-x+38
Step-by-step explanation:
so,
general eqn of quadratic equation is,
axsquared+bx+c=y
where,
x and y are exchanged by coordinates given in qn
1,64a-8b+c=0
2,4a-2b+c=0
or c=2b-4a
60a-6b=0
3,36a-6b+c=8
32a-4b=8
I dont know what to do lol
Answer:
15 units
Step-by-step explanation:
The distance between two points can be found using the following formula:
[tex]d\sf=\sqrt{(x_2-x_1)+(y_2-y_1)}[/tex]
Given points:
(-7, 5) and (2, -7)
where:
x₁ = -7x₂ = 2y₁ = 5y₂ = -7Substitute these points into the formula and simplify:
[tex]\sf d=\sqrt{(2-(-7))^2+((-7)-5)^2} \ \textsf{[simplify the radicand]}\\\\ d=\sqrt{(2+7)^2+(-12)^2} \ \textsf{[simplify]}\\\\d=\sqrt{(9)^2+(-12)^2} \ \textsf{[evaluate the power]}\\\\d=\sqrt{81+144} \ \textsf{[add]}\\\\d=\sqrt{225}\ \textsf{[simplify]}\\\\d=15[/tex]
The distance between the two points is 15 units.
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Sorry to bother anyone…
Answer:
C) 10 eggs
Step-by-step explanation:
6x2 is 12 so we have to times 4 eggs by two and we get 8. 6/2 is 3 which would bring us to 15 servings so we have to divide the eggs (4) by 2. When we add the 2 and 8 eggs we get 10. Hope this helps! Have a great day :)
PROM Caleb manages the budget for his school's junior prom. His class has spent $1250 for the prom venue, $625 for a DJ, and $1470 for
decorations. They will also serve dinner before the dance, which costs $12 per student. If he wants to keep the cost of prom tickets less than
$20, how many students will need to buy tickets?
The number of students that will need to buy the tickets is 419.
How many students will need to buy tickets?The equation that can be formed from the information provided in the question is:
$20s < $1250 + $625 + $1470 + $12s
Where s represents the number of students
$20s < $3345 + $12s
$20 - $12s < $3345
$8s < $3345
s < $3345 / $8
s < 419
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Need help !!!!!!!!!!!
Step-by-step explanation:
[-4, infinity]
range talks about the y-axis so the x values don't matter. it goes from top to bottom. the bottom's y coordinate is -4 and the top goes out to inifinity
After watching some fish 60 feet below the surface of the water scuba diver went up 40 feet to explore a coral reef. use a number line to help you create an equation that shows the location of the coral reef in relation to the water surface.
A: The equation is -60+40 = -100.
B: the equation is -60+(-40)= -100.
C: The equation is -60+40= -20
D: The equation is -60+(-40)= 20
The diver is 60 feet below the surface then moves up 40 feet.
Answer: C: The equation is -60+40= -20
Can someone help me please
Answer:
x= 70°
Step-by-step explanation:
the lines overlapping the two sides on the triangle mean that those two sides are congruent, meaning that both of those angles would be equal to 70°
What is the slope of a line parallel to the line whose equation is x+6y=-54 Fully simplify your answer.
The slope of the line that is parallel to x + 6y = -54 is: -1/6.
What is the Slope of Parallel Lines?When two lines are parallel to one another, their slopes will be the same. In slope-intercept form, y = mx + b, the slope of a line is represented as m.
Rewrite the equation, x + 6y = -54 in slope-intercept form:
6y = -x - 54
6y/6 = -x/6 - 54/6
y = -1/6x - 9
The slope of the line, x + 6y = -54, is -1/6. Therefore the line that is parallel to it would be: -1/6.
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For this question you will write a two-column proof of the first part of the Overlapping Angle Theorem. Use the proof for the Overlapping Segment Theorem as your model for this proof.
You must use the two-column format for this question. Write the proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
Given: m∠KER = m∠MEN
Prove: m∠1 = m∠3
1) [tex]m\angle KER=m\angle MEN[/tex] (given)
2) [tex]\angle 3 \cong \angle 3[/tex] (reflexive property)
3) [tex]m\angle 3=m\angle 3[/tex] (congruent angles have equal measure)
4) [tex]m\angle 1=m\angle 3[/tex] (subtraction property of equality)
A necklace has green and blue beads in the ratio 4:3.
There are 24 blue beads on the necklace. How many green beads are there?
Answer:
32 green beads
Step-by-step explanation:
the 3 part of the ration applies to 24 blue beads , then
24 ÷ 3 = 8 ← value of 1 part of the ratio , then
4 parts = 4 × 8 = 32 ← number of green beads
Which of the following is likely next step in the series line
Answer:
B.
Step-by-step explanation:
I don't see any specific angle like the letter C.
use graph below to find the area of the shaded triangle
A rectangular rug has perimeter 1388 inches. The length is 34 inches more than twice the width. Find the length and width of the rug.
Answer:
Step-by-step explanation:
Comment
the perimeter formula is P = 2w + 2L
Givens
w = width. It is one of the unknowns
L = Length = 2*w + 34
Perimeter = P = 1388
Solution
1388 = 2*w + 2(2w + 34) Remove the brackets.
1388 = 2w + 4w + 68 Subtract 68 from both sides
1388 - 68 = 2w + 4w+68 - 68 Simplify
1320 = 2w + 4w Combine the right.
1320 = 6w Divide by 6
1320/6 = 6w/6
220 = w
Answer
w = 220
L = 2*220 + 34 474
A rectangular rug has perimeter 1,388 inches. The length is 34 inches more than twice the width. Find the length and width of the rug.
Explanation -:In this question we are provided with the perimeter of a rectangular rug that is 1388 inches. It is also given that the length is 34 Inches more than twice the width. We are asked to calculate the dimensions of the rug.
Let us assume width as x.
Then, length = 2x + 34
We know,
[tex] \small\boxed{ \rm{ Perimeter_{(rectangle)} = 2(length + width)}}[/tex]
Substituting the values we get
[tex] \small\sf 1388 = 2(2x + 34 + x)[/tex]
[tex] \small\rm{ 1388 = 2(3x + 34 )}[/tex]
[tex] \small\rm{1388 = 6x + 68} [/tex]
[tex] \small\rm{1388 - 68 =6x } [/tex]
[tex] \small\rm{1320 = 6x} [/tex]
[tex] \small\rm{ \dfrac{1320}{6} = x }[/tex]
[tex] \small\rm{ x= 220} [/tex]
Width = 220 inches
Length = 2 × 220 + 34 = 440 + 34 = 474 inches
Hence, the width is 220 inches and length is 474 inchesneed some help please
Step-by-step explanation:
∠2 = 77°
∠2 = ∠4 ( being vertically opposite angle )
∠4 = 77°
Now...
∠1 + ∠2 = 180° ( supplementary angle )
∠1 = 180° - 77°
∠1 = 103°
here....
∠1 = ∠3 ( vertically opposite angle )
∠1 = 103°
[tex].....[/tex]
