Answer:
x = 5,-2
Step-by-step explanation:
Multiply the whole equation by 3(x+1) to get rid of the denominator.
[tex] \large{ \frac{x + 2}{3} \times 3(x + 1) = \frac{2(x + 2)}{x + 1} \times 3(x + 1)} \\ \large{(x + 2)(x + 1) = 2(x + 2) \times 3} \\ \large{ {x}^{2} + 3x + 2 = 6(x + 2)} \\ \large{ {x}^{2} + 3x + 2 = 6x + 12}[/tex]
Then we solve the equation.
[tex] \large{ {x}^{2} + 3x + 2 - 6x - 12 = 0} \\ \large{ {x}^{2} - 3x - 10 = 0} \\ \large{(x - 5)(x + 2) = 0} \\ \large{x = 5, - 2}[/tex]
Since we are also solving rational equation, make sure that x ≠ -1 for this problem. Because if x = -1, the denominator is 0 which is undefined. Since our solutions are x = 5,-2 and not -1. Therefore the answer is x = 5,-2
Could someone please help me with this !
And also show work
Answer: C. K= 2.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
[tex]\Huge\boxed{k=2.5}[/tex]
Step-by-step explanation:
Given -2.1k + 13 + 6.5k = 24 we need to isolate the variable using inverse operations
step 1 combine any like terms
sometimes there are not like terms but in this case there are. When there are like terms (must be on the same side of the = ) you add them together
-2.1k + 6.5k = 4.4k
now we have
4.4k + 13 = 24
Now we want to get rid of the 13
To do so we subtract 13 from each side
13 - 13 cancels out
24 - 13 = 11
now we have 4.4k=11
now we want to get rid of the 4.4
To do so we divide each side by 4.4
4.4k/4=k
11/4.4=2.5
we're left with k - 2.5
An isosceles triangle has a base of 20cm and legs measuring 36cm. How long are the legs of a similar triangle with a base measuring 50cm?
Answer:
90 cm
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, then
50 ÷ 20 = 2.5
The legs of the similar triangle are 2.5 times the original legs, that is
legs of similar triangle = 2.5 × 36 cm = 90 cm
Bamboo plants can grow 91 centimeters per day. what is the approximate growth of the plant inches per hour?
Answer:
roughly 1.5
Step-by-step explanation:
pls help and show work
Answer:
Step-by-step explanation:
3x^2 + 24x + 48 + 43 - 48
3(x^2 + 8x + 16) - 5
3(x + 4)^2 - 5
vertex at (-4,-5)
Answer:
vertex = (- 4, - 5 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 3x² + 24x + 43 ← factor out 3 from the first 2 terms
= 3(x² + 8x) + 43
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 8x
y = 3(x² + 2(4)x + 16 - 16) + 43
y = 3(x + 4)² - 48 + 43
y = 3(x + 4)² - 5 ← in vertex form
with vertex = (- 4, - 5 )
Does anyone know number 1 and 2 if so pls help!
Answer:
364×180=65,520 baskets
Step-by-step explanation:
since its a leap year(4days as shown in the document)
2nd question:
365×180=65,700 baskets
since its not a leap year
if u dont know leap years end with an even number which is 364 and non leap years end with odd number which is 365.
Can anyone help with what the formula to calculate the volume of a Rhombohedron (3D Rhombus) is? Could you also give me an example of how to do it please?
Answer: the formula is : β = 180° - α
A = 6 * a² * sin(α)
V = a³ * (1-cos(α)) * √1+2cos(α)
Sorry, i don't know any examples .
Step-by-step explanation:
[tex]\sqrt{x} 196
can someone help me
Answer:
14
Step-by-step explanation:
√196
Calculate the square root of 196 and get 14.
14
Convert: 76 ounces = _____ pounds _____ ounces
Answer:
4 pounds 12 ounces
Step-by-step explanation:
there are 16 ounces in 1 pound so 76/16 = 4.75 and .75 is equal to 12 ounces.
76 ounces is equal to 4 pounds and 12 ounces.
To convert 76 ounces to pounds and ounces, we need to consider that 1 pound is equal to 16 ounces.
Here's how to proceed:
Divide the total number of ounces by 16 to find the number of pounds:
76 ounces ÷ 16 ounces/pound = 4.75 pounds
Since 4 pounds = 4 x 16 pounce/ pound
= 64 ounces ,we subtract this amount from the total of 76 ounces to determine the remaining ounces:
= 76 ounces - 64 ounces
= 12 ounces
Therefore, 76 ounces is equal to 4 pounds and 12 ounces.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ6
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU DO BOTH
please give me a real answer
Answer:
Q2. angle 5 +angle 6=90°
angle 5+ 6°=90°
angle 5=90°-6°
angle 5=84°
Q.3 angle 8+angle 9=90°
angle 8 + 11°=90°
angle 8=90°-11°
angle 8=79°
If JKLM is a rectangle, solve for x.
What is the constant of proportionality in the table below?
Answer:
12
Step-by-step explanation:
y = kx where 'k' is the constant of proportionality
24 = 2 x 12
36 = 3 x 12
48 = 4 x 12
60 = 5 x 12
I NEED HELPP ... 26 points!
Quotient: The result of dividing two numbers
Explanation: Just some simple dividing and rounding
Quotient - 102.756098
Rounding - 102.76
Answer: 102.76
Can someone plz help me if u understand plz I beg u and care to explain if wanted
Answer:
first circle is radius= 12.5 inches and diameter= 25 inches
second circle is radius=2 feet and diameter=4 feet
Step-by-step explanation:
radius is the point halfway down the circle. diameter is full length straight across the whole circle.
further analysis;
in the first circle it gives you the diameter which is 25 inches. in order to get the radius you cut 25 in half which is 12.5 inches.
in the second circle it gives you the radius which is 2 feet. in order to get the diameter you need to double 2 feet which is a total of 4 feet.
Question 3
1 pts
meters, will the period of a pendulum be 3 seconds? Use the formulas T = a[.where the proportionality constant,
The acceleration of gravity on Mars is 3.69 For what length
2 TT
a. depends on the acceleration of gravity: a =
vg
0.92 meters
0.84 meters
0.66 meters
Emily played softball all weekend. She was wondering the difference in time between the shortest game and the longest game. Can you help her figure it out?
Answer:
hh
Step-by-step explanation:
Legs are 5ft and 25ft what is the hypotenuse round to the nearest tenth
Answer:
15ft
Step-by-step explanation:
(450) + (28.75x) = 967.50
solve for x
Answer:
x=18
Step-by-step explanation:
Answer:
x= 18
Step-by-step explanation:
To solve this equation you have to work backwards
Start by dealing with the numbers that we know:
450 + (28.75 × x) = 967.5
-450 -450
28.75x = 967.5
(when a number and a letter in mathematics are next to each other they are multiplying)
Now divide to find the value of x:
967.5 ÷ 28.75 = 18
18 is the value of x
If c ⊥ b and a || c, what is m∠2?
Answer:
A) 90°
Step-by-step explanation:
if lines b and c are perpendicular then all 8 angles measure 90 degrees
Which sign makes the statement true?
1.78 ? 0.88
< or >
????
Answer:
1.78 > 0.88
Because you would always put the sign on the bigger number.
Answer:
1.78 > 0.88
Step-by-step explanation:
It is > hope this helped.
math help please now
Answer:
1. Yes
2. Yes
3. No
4. Yes
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees.
For 1, 76+14 = 90.
Etc., you can do the math, I believe you are smarter than addition.
I need help with this 2 questions can someone help me pls I need it !!!!!
Answer:
8. center: (-7,5)
radius: 9
Step-by-step explanation:
8. to find the center, you need to get the equation in the form of (x-h)^2+(y-k)^2=r^2
you can do this by completing the square:
x^2+y^2+14x-10y-7=0
x^2+14x+49+y^2-10y+25=7+49+25
(x+7)^2+(y-5)^2=81
so, the center is (-7,5) and the radius is 9
Oatmeal is packaged in a right circular cylindrical container that has a radius of 7 centimeters and a height of 16 centimeters.
What is the surface area of this container in terms of pi?
a. 176
b. 254
c. 322
d. 440
Answer:
c. 322
Step-by-step explanation:
Surface area of cylinder = 2πr² + 2πrh.
SA in terms of π = π(2r² + 2rh) →
π(2(7)² + 2(7)(16)) →
π(2(49) + 2(112)) → π(98 + 224) → π(322)
Which of the following is true?
Answer:
option B should be correct
.
Four different cellular phone plans are shown below.
• Plan 1 charges $0.35 per minute with no monthly fee.
Plan 2 charges a monthly fee of $10.00 plus $0.25 per minute.
• Plan 3 charges a monthly fee of $59.95 with 200 free minutes.
Plan 4 charges a monthly fee of $15.00 plus $0.20 per minute.
Which plan is the least expensive for 200 minutes of cellular phone use?
.
A. Plan 4
B. Plan 3
C. Plan 1
O
D. Plan 2
g(x) = -3x-8g(x)=−3x−8g, left parenthesis, x, right parenthesis, equals, minus, 3, x, minus, 8
g\Big(g(g, left parenthesis
\Big)=10)=10
Answer:
try your best
Step-by-step explanation:
can someone please help me find the slope on khan academy? and please provide an explanation if possible
Answer: 7/4
Step-by-step explanation: To find the slope of a line, pick any two integer points, in this scenario the only two are (3,4) and (-1,-3). The slope is the rise over run, so think about it. To get from (-1,-3) to )3,4) you need to rise 7 units (difference in y coordinates) and from there you need to run 4 units, so it is 7/4. Keep in mind that rising up is positive for y and running to the right is positive for x.
Answer:
[tex]\frac{7}{4}x[/tex]
Step-by-step explanation:
How do you find slope on a graph? The slope is "rise/run" where "rise" is how much y spaces are moved to the next point and "run" is the how much spaces are moved to the next x point.
Step One: In this case, the point moves up 7 spaces to the next point, so that's the "rise" and then it moves 4 spaces to the right to the next point, so that's the "run"
Step Two: When we put it together, it is 7/4x. The x is just an indication that this is slope, and you don't have to worry about it until you learn how to plug it in.
what is this answer to these questions no links 30 points
Answer:
do i need to answer them for me or just basically?
1. This is NOT a statistical question since you don't need data or mathematical data, or collection of nothing to come to a conclusion because it's a question for any person in the world and we know it's Donald Trump; we don't need math, collection of data or analysis to know this.
2. This is a statistical question because you need to use math to know this; you need to collect a lot of cupcakes, describe their types and size, you need to analyze and count how many you can eat, and see the results or side effects, you might even have to do this more than one so you can gather all your quantitative to come to a conclusion.
3. This is NOT a statistical question. This is a yes or no question where you can ask anyone in your family if they speak another language, this doesn't require math or gathered data to come to a conclusion; the question would be statistical if it was, "How many people in your family speak another language COMPARED to the other people in your family? This would be an example of a statistical question given this scenario.
Simplify This.
15x+3-14x+4
Answer:
You just have to combine like terms to get the most simplified v erosion of this equation.
The final simplifed answer would be
x+7
Step-by-step explanation:
Well just add everything up.
15x-14x=x
3+4=7
Combine
x+7
Find the common difference of the arithmetic sequence -3, -9, -15
Answer:
they are subtracting 6 from each number
Please help! This is my last question and I can’t get it... I gave the most points I could. (I will also mark you the brainliest if it works)
Answer:
18.
Step-by-step explanation: