Answer:
x = -9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3(x + 1) - 2x = -6
Step 2: Solve for x
Distribute 3: 3x + 3 - 2x = -6Combine like terms: x + 3 = -6Isolate x: x = -9Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(-9 + 1) - 2(-9) = -6Add: 3(-8) - 2(-9) = -6Multiply: -24 + 18 = -6Add: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = -9 is the solution to the equation.
Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).
Step-by-step explanation:
Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.
Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.
Hence the equation is y + 5 = -2/3 * (x - 4). (B)
Write the equation in point-slope form of the line that contains the points (3,-5) and (5,- 1)
Answer:
y+5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
The linear function passing through points (3,-5) and (5,- 1) is given by:
y = 2x+ 13.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
y = mx + b
In which the coefficients are described as follows:
• The coefficient m is the slope of the function, representing the rate of change of the function.
• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).
For this problem, the two points that form the function are given as follows:
(3,-5) and (5,- 1)
The slope is given by change in y divided by change in x, hence it is given by:
m = (y₂-y₁)/ (x₂-x₁)
m = (-1+5)/(5-3)
m = 4/2
m = 2
Then:
y = 2x + b.
When x = 3, y = -5, hence we can find the intercept b of the function as follows:
3 = 2 x -5 + b
b = 3+ 10
b = 13
Hence the equation is:
y = 2x+ 13
More can be learned about linear functions :
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Help will give crown
Answer:
8
Step-by-step explanation:
from A to B it's 8 units long
a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour
Answer:
5 inches per hour
Step-by-step explanation:
Answer:
1.5 inches per hour
Step-by-step explanation:
Egghead Egghead Egghead
Answer:
the first one is an egghead, gordon ramsey is not an egg
Step-by-step explanation:
Use the distributive property to remove the parentheses. -5(-6y - 3w + 2)
Answer:
−5(−6y−3w+2)
=(−5)(−6y+−3w+2)
=(−5)(−6y)+(−5)(−3w)+(−5)(2)
=30y+15w−10
=15w+30y−10
How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5 % per annum of simple interest?
[Irrelevant answers will be reported]
Answer:
2 years
Step-by-step explanation:
Let us take the time period be t .
And , we know formula of SI as ,
[tex]\boxed{SI = \frac{PRT}{100}}[/tex]
[tex]\implies Rs 810 = \dfrac{Rs 9000 \times 4.5 \times t }{100}\\\\\implies t = \dfrac{810 \times 100 }{9000\times 4.5 } \\\\\underline{\boxed{\red {\implies Time = 2 \ years }}}[/tex]
Will give crown help
Answer:-8,-2,4,10
Step-by-step explanation:
is this table a function? why or why not?
Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!
Answer:
A or the first one
Step-by-step explanation:
Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly
Please answer these questions I will mark brainliest
Give the equation in slope intercept form for each representation. Tell me if you can’t see the pic at the top.
6 of 12
Write in index form
(-4) × (-4) × (-4) x (-4) × (-4) x (-4)
Given:
The expression is
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
To find:
The index form of given expression.
Solution:
Index form is the exponent form, it means, the number is represented in power of a number.
We have,
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]
Therefore, the index form of given expression is [tex](-4)^6[/tex].
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70
I need the measure of angle 1
Answer:
Angle 1 is 69°
Step-by-step explanation:
9x + 66 = -9x + 156
9x + 9x = 156 - 66
18x = 90
18x/18 = 90/18
x = 5
-9x + 156
-9(5) + 156
-45 + 156
111
180 - 111 = 69.
Please help! asap ill brainlist you :(
At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.
Answer:
5
Step-by-step explanation:
hope this helps!!!
Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
Step-by-step explanation:
A. Where do you see circles and semicircles in the world around you?
1. Ring.
2. Earing
3. Coin
4. Hockey puck
5. Car tyre
6. Dartboard
7. Wreath
8. Plate
9. Hula hoop
10. Mercedes logo
11. Bass drum
12. Drain
B. Why could finding the area or circumference be helpful?
Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them
Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban
Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z?
A y=2.5x-23
B y=2.5x+23
C y=2.5x+3
D y=2.5x- 28.5
Answer:
C. y=2.5x+3
Step-by-step explanation:
1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1
Answer:
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1\
Step-by-step explanation:
which ratio is same as 2/3
The ratio 4/6 is the same as 2/3 because they have the same proportion.
To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.
1. Multiplying by the same number:
If you multiply both the numerator and the denominator of 2/3 by 2, you get:
= (2 × 2) / (3 × 2)
= 4/6
So, the ratio 4/6 is the same as 2/3.
2. Dividing by the same number:
Divide both the numerator and the denominator of 2/3 by 3, you get:
= (2 ÷ 3) / (3 ÷ 3)
= 2/3
So, the ratio 2/3 remains the same.
In conclusion, the ratio 4/6 is the same as 2/3.
Learn more about Ratio here:
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Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32
Answer:
Could you retype the equation so it isn't jankey?!
Step-by-step explanation:
transversals angles
the answer of your question is angle 3
Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0
Answer:
x=1/2 or x=−1
Step-by-step explanation:
The solution to the quadratic equation is x = -1 or 1/2
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + x - 1 = 0 be equation (1)
And , roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
On simplifying , we get
x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4
x = [ -1 ± √ ( 1 + 8 ) ] / 4
x = [ -1 ± 3 ] / 4
So , the two values of x are
x = ( -1 - 3 ) / 4
x = -1
And , x = ( -1 + 3 ) / 4
x = 1/2
Therefore , the values of x are -1 or 1/2 respectively
Hence , the roots of the quadratic equation are -1 or 1/2 respectively
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Which number line shows the points −125 and –2.8?
Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8
Answer:
-8
Step-by-step explanation:
3/4x=-18+12
x=-6×4/3
x=-8
Answer:
x = -8
Step-by-step explanation:
[tex] \frac{3}{4} x - 12 = - 18[/tex]
i) multiply both sides of equation with 4
[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]
[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]
[tex]3x - 48 = - 72[/tex]
ii) move -48 to the right-hand side and change its sign
[tex]3x = - 72 + 48[/tex]
iii) calculate the sum
[tex]3x = - 24[/tex]
iv) divide both sides of equation with 3
[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]
[tex]x = - 8[/tex]
1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
7x=7y=−2x+5
Divide each term by
7
and simplify.
Tap for more steps...
x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
Tap for more steps...
x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle
Answer:
l = 31 cm
w = 27 cm
Step-by-step explanation:
l = w + 4
p = 2l + 2w
p = 2(w+4) + 2w
116 = 2(w+4) + 2w
116 = 2w + 8 + 2w
116 = 4w + 8
108 = 4w
27 = w
l = w + 4
l = 27 + 4
l = 31
hope this helps, pls mark brainliest :D
Answer:
w=18 L=40
Step-by-step explanation:
w
---------
| |
| | 2w+4
| |
---------
2(2w+4)+ 2(w)=116
6w+8=116
6w=108
w=18
2(18)+4
36+4
40
What is gross income? Gross income is money earned before taxes are taken from a paycheck. Gross income is money earned after taxes are taken from a paycheck. Gross income is money paid to fund firefighters and police officers. Gross income is money paid for taxes.
Answer:
Gross income is money earned before taxes are taken from a paycheck
Step-by-step explanation:
Gross income is money earned before taxes are taken from a paycheck
Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.
Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.
For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted
Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?
Answer:
41 mphStep-by-step explanation:
s₁ = s₂ = x {the distance from A to B}
s = s₁ + s₂ = x + x = 2x {the distance of the round trip}
t = t₁ + t₂ {the time of the round trip}
v₁ = 30 mph
v₂ = 65 mph
t₁ = s₁/v₁ = x/30 h {the time of trip from A to B}
t₂ = s₂/v₂ = x/65 h {the time of trip from B to A}
The average speed:
[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]