Can you help me solve this equation?
Sure
Answer:
x = -2
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The steps
Multiply all terms by (x-3)(x+3) and cancel:
x(x+3)+2x(x−3)=18
3x2−3x=18(Simplify both sides of the equation)
3x2−3x−18=18−18(Subtract 18 from both sides)
3x2−3x−18=0
3(x+2)(x−3)=0(Factor left side of equation)
x+2=0 or x−3=0(Set factors equal to 0)
x=−2 or x=3
Check answers. (Plug them in to make sure they work.)
x=−2 (Works in original equation)
x=3 (Doesn't work in original equation)
Question below in image
Answer:
m∠92°Step-by-step explanation:
m∠e = m∠a ( Corresponding Angles)
The solution to an inequality is graphed on the number line. A number line going from negative 5 to positive 5. A solid circle appears between positive 4 and positive 5. The number line is shaded from the circle to negative 5. What is another way to represent this solution set? {x | x < 4. 5} {x | x ≤ 4. 5} {x | x > 4. 5} {x | x ≥ 4. 5}.
The solution set for the number line of inequality can be represented as,
{x | x ≤ 4. 5}
What is the number line?The number line is the way of representation of number and digits in a arranged form to understand the data batter.
The meaning of circle in number line,
Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.Closed circle or solid circle-When the value of variable is not equal to the given number, then the graph of the inequality has a closed circle.The number line going from negative 5 to positive 5 and a solid circle appears between positive 4 and positive 5. The middle point of 4 and 5 is 4.5.
The solid or closed circle means that the value has less than or equal to 4.5. Thus, the solution set for the number line of inequality can be represented as,
{x | x ≤ 4. 5}
Learn more about the number line here;
https://brainly.com/question/24644930
Thomas lives 350 350 miles from the beach. He drives to the beach at an average rate of 50 50 miles per hour. Use that information and the diagram to complete the statements below. Home is 350 miles from the beach. 50 miles in 1 hour. There are 300 miles remaining. CLEAR CHECK As time increases from 0 0 to 7 7 hours, the distance traveled . As time increases from 0 0 to 7 7 hours, the distance remaining . As time increases from 0 0 to 7 7 hours, the distance from home to the beach
what is x - 2 5/8 = 6 1/4
Answer:
x = 7 5/8
Step-by-step explanation:
Given:
x - 2 5/8 = 6 1/4
first, let's find a common denominator so we can deal with the fractions easier.
The smallest number 8 and 4 is divisible by, is 8.
so we just multiply everything in the equation by 8 now, this helps get rid of the fractions.
x - 2 5/8 = 6 1/4
8 (x -2 5/8) = 8 (6 1/4)
simplifies into
8x -16 + 5 = 48 + 2
simplify some more
8x -11 = 50
solve for x
8x = 11 + 50
8x = 61
x = 61/8
or
x = 7 5/8
Answer:
Decimal: x=8.87
Improper fraction: x=71/8
Mixed number: x=8 7/8
Step-by-step explanation:
[tex]x-2\frac{5}{8}=6\frac{1}{4}[/tex]
First, let's convert mixed numbers to improper fraction
[tex]x-\frac{21}{8}=\frac{25}{4}[/tex]
Now, we can add 21/8 to both sides
[tex]x-\frac{21}{8}+\frac{21}{8}=\frac{25}{4}+\frac{21}{8}[/tex]
[tex]x=\frac{71}{8}[/tex]
We can convert 71/8 to a mixed number
[tex]x=8\frac{7}{8}[/tex]
Hope this helps!
Can someone help me with this question pls
Answer:
20 student who have a screen time of 12 or more hours have a grade below 80
Which expression is not equivalent
to 4k + 12?
A. 3k + 4 + k + 8
B. 30k + 3) + 3
C. 40k + 3)
D. 2(2k + 5) + 2
Answer:
A , D
Step-by-step explanation:
A. = 4k+12
B. =30k+6
C. =40k+3
D. =4k+10+2= 4k+12
The point H(2,6) is reflected over the x-axis. What are the coordinates of the resulting point, H’?
Answer:
H(2,-6)
Step-by-step explanation:
reflection over the x-axis results in the y-coordinate getting the opposite sign
Which set of ordered pairs don’t represent a function
Answer:
The first multiple-choice doesn't represent a function
Step-by-step explanation:
(-4,3),(1,-6),(-8,-1),(1,9)
because a function has two pairs with the same x value
*hope that makes sense*
At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 6.4 cm/s?
Answer:
11.08 cm/s
Step-by-step explanation:
Here it is given that the edges of a cube are increasing at a rate of 6.4 cm/s . And we need to find out the rate at which the diagonals are increasing . If we assume each side of the cube to be x , then ;
[tex]\longrightarrow \dfrac{da}{dt}= 6.4 \ cm/s\dots (i) [/tex]
Now we can find diagonal as ,
[tex]\longrightarrow d = \sqrt{ length^2+breadth^2+height^2} [/tex]
Here l = b = h = a ; so ,
[tex]\longrightarrow d =\sqrt{ a^2+a^2+a^2} [/tex]
Simplify,
[tex]\longrightarrow d =\sqrt{3a^2} [/tex]
Take out a from square root,
[tex]\longrightarrow d =\sqrt3 a[/tex]
Now , we can find the rate of change of diagonal as ;
[tex]\longrightarrow r =\dfrac{d\sqrt3 a}{dt} [/tex]
Take out the constant,
[tex]\longrightarrow r = \sqrt3\dfrac{da}{dt} [/tex]
From equation (i),
[tex]\longrightarrow r = 1.732 \times 6.4 \ cm/s [/tex]
Multiply ,
[tex]\longrightarrow \underline{\underline{ rate_{of\ change \ of \ diagonals}= 11.08\ cm/s}}[/tex]
This is the required answer!
If the side length increases at a rate of 6.4 cm/s, then the diagonal increases at a rate of 11.1 cm/s
At what rate does the diagonal increase?
The diagonal of a cube of side length S is given by:
d = S*√3
In this case, we know that the side length increases at a rate of 6.4 cm/s, then we can write:
S = S₀ + 6.4cm/s*t
Where S₀ is the initial side length, replacing that on the diagonal formula we get:
d = (S₀ + 6.4cm/s*t)*√3
Now if we differentiate it with respect to the time t, we get:
d' = 6.4cm/s*√3 = 11.1 cm/s
So, if the side length increases at a rate of 6.4 cm/s, then the diagonal increases at a rate of 11.1 cm/s.
If you want to learn more about rates of change, you can read:
https://brainly.com/question/8728504
of 20 chickens, 9 are brown. What fraction is brown? (please show the working)
Answer:
9/20 also 45%
Step-by-step explanation:
well if 20 of them 9 are brown so 9 out of 20 of them are brown/45% of them because out of 20 each thing right or each person is 5%
Answer:
45/100 out of the 20 chickens are brown
Step-by-step explanation:
9/20 = 45/100
9/20 x 5 = 45/100
write 30/36 in its simplest form
Answer:
6/5
Step-by-step explanation:
Answer:
5/6
the lowest number from 30 is 5x6 which is 30.
6x6 = 36
therefore,
5/6
Help I'm trying to do this but i cant
Answer:
Learn PEMDAS on YT
Step-by-step explanation:
use the distributive property to write an expression that is equivalent to each given expression. -3(2x-4)
Answer:
-6x+12
Step-by-step explanation:
-3(2x-4)
First, -3 distributes to 2x to make it -6x.
Then -3 distributes to -4. A negative times a negative is a positive so it will equal 12.
HURRY please The length of the rectangular sticker is 5.38 cm and the width is 3.5 cm. What is the area of the sticker?
You have 2 one-dollar bills and 1 five-dollar bill in your pocket. What is the probability that you randomly choose a one-dollar bill from your pocket?
You have a total of 3 bills ( 2 one dollar and 1 five dollar)
There are two chances out of the three of getting a one dollar bill.
This is written as 2/3 probability
Answer: 2/3
hi you can help me plis
Answer:
14
I hope it works for you
Lin runs 5 laps around a track in 6 minutes.
Answer:
If you want to know laps per minute it is 5 laps / 6 min = 0.83 laps per min
Step-by-step explanation:
3 less than 5 times a number
Answer:
5x-3
Step-by-step explanation:
x= "a number"
5 times x= 5x
3 less that 5x=
5x-3
Hope this helps!
Answer:
5x-3
Step-by-step explanation:
less than means it comes after
5 times a number
5x
3 less than
5x-3
A recipe calls for 5 teaspoons of orange juice. A can of orange juice is 22 fluid ounces. How many teaspoons of juice are in the can?
Answer: 132-5=127
Step-by-step explanation:
22 ounces in teaspoons is 132 -5=127
= a fx The function f is defined by f (x) = 50-3^x. The function g is defined by g(x) = a · Here are graphs of f and g. y مه f Х 1. How does a compare to 50? Explain how you know. 2. How does b compare to 3? Explain how you know. Edit View Insert Format Tools Table 12pt Paragraph В I U A o Tv :
Answer:
Step-by-step explanation:
a, compares to 50 beacuse a means the staying point ; slope, so that’s why it starts at 50.
b, compares to 3 beacuse that is the y-intercept
please help me I'm struggling
Someone smart help and get it right please offering 25 points
Answer:
2.5
Step-by-step explanation:
By the angle bisector theorem, [tex]\frac{AC}{BC}=\frac{CD}{DB}[/tex]. Plugging in the known side lengths gives [tex]\frac{5.8}{6.2}=\frac{?}{2.7}[/tex]. Solving gives:
[tex]?=(5.8\cdot 2.7)/6.2[/tex]
[tex]\approx 2.5[/tex], rounded to one decimal place.
what is it supposed to look like
What is the area of this triangle?
150 cm²
210 cm²
315 cm²
420 cm²
Answer:
what triangle where is the triangle?
Solve 4(x – 5) = 18
pl show working out
Which number is between 1.2 and 1.3 ?
Answer:
D) 1.23
Step-by-step explanation:
There are infinitely many numbers that are between 1.2 and 1.3 really, but given the answer choices, D is the correct one.
Please answer this question
Answer:
The answer is below.
Step-by-step explanation:
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 30 inches, and the length of the base is 10
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Check the picture below.
Answer:
70.8
Step-by-step explanation:
(2x5 + 7x3) – (5x2 - 4x3)
simply
Answer:
(2x4 + 11x2 - 5)
Step-by-step explanation:
((2•(x5))+(7•(x3)))-(5x-22x3)
((2 • (x5)) + 7x3) - (5x - 4x3)
(2x5 + 7x3) - (5x - 4x3)
2x5 + 11x3 - 5x = x • (2x4 + 11x2 - 5)
Factoring 2x4 + 11x2 - 5
Multiply the coefficient of the first term by the constant 2 • -5 = -10
Find two factors of -10 whose sum equals the coefficient of the middle term, which is
10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3
-1 + 10 = 9
Hope this helps!