Answer:
y = x + 7
Step-by-step explanation:
Your equation is -3x + 3y = 21
You want to get the y by itself (this would be easiest if you kept the y on the left side of the equation since this is where the y formally is). To do this, you need to get the -3x on the other side. Since the integer is negative, you are going to add the integer on both sides (this will cancel out the -3x on the left side since you are doing the opposite of the integer). This is shown below.
-3x + 3y = 21
+3x +3x
3y = 3x + 21
The part on the question on the right side is 3x + 21. The 3x is shown first because the x of these equations are always first. The 21 is + 21 because the 21 is already positive.
Now, we need to get the 3y to be y by itself. To do this, we need to divide the equation it total by 3. Since the 3 is attached to the y, this represents multiplication. You always want to do the opposite to do these equations. This step is shown below.
3y = 3x + 21
/3
3y divided by 3 = y
3x divided by 3 = x
21 divided by 3 = 7
Now plug these into the equation.
y = x + 7
I hope this helps! Have a good day, and please mark brainliest ^-^
the answer to life the universe and everything
Answer:
42
Step-by-step explanation:
Heres the signifigance,
"The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years."
Hope this Helps
Answer:
42
Step-by-step explanation:
"The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. "
Source: wikipedia
helpppppppppppppppppppp
Answer:
2nd option
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c
• If a > 0 then minimum vertex
• If a < 0 then maximum vertex
Here a = - 1 < 0 then maximum
The maximum value is the value of the y- coordinate of the vertex
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
Here a = - 1 and b = 3 , then
x = - [tex]\frac{3}{-2}[/tex] = [tex]\frac{3}{2}[/tex]
Substitute this value into the equation for corresponding y- value
y = - ([tex]\frac{3}{2}[/tex] )² + 3([tex]\frac{3}{2}[/tex] ) - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{9}{2}[/tex] - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{18}{4}[/tex] - [tex]\frac{4}{4}[/tex] = [tex]\frac{5}{4}[/tex]
Then maximum value of [tex]\frac{5}{4}[/tex]
WHAT IS THIS. draw the line x=2 on the grid. please help
Answer The picture shows you where to place your line
Step-by-step explanation:
What is the solution to this inequality?
X-8 > -3
A. x < 5
B. X> 5
C. X4-11
D. X> -11
Answer:
B
Step-by-step explanation:
[tex]x - 8 > - 3 \\ x > 5[/tex]
Write the slope-intercept form of the equation of the line described.
Through: (5, 4), parallel to y = x-5
Step-by-step explanation:
Find the slope of the parallel line
When two lines are parallel, they have the same slope.
⇒ if the slope of this line = 1
then the slope of the parallel line (m) = 1
Determine the equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line: (5, 4)
⇒ y - 4 = 1 (x - 5)
∴ y - 4 = x - 5
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 4 = x - 5
y = x - 1
To test my answer, I drew a Desmos Graph with the information provided in the question and my answer.
i have no clue how to do this n it’s in f tmrw pls help lol
Area = w × h
w = width
h = height
What is the equation of the line in point slope form given a slope of -12 and a point of (-4,
-5)?
Answer:
The equation of a line in point-slope form is y-Y1=m(x-X1). ”m” is the slope and (X1,Y1) is a point.
So, the equation in point-slope form is y+5=12(x+4).
:)
Distributing the - sign outside the parentheses -(6y-9.6z+3)
Answer:−6y+9.6z−3
Step-by-step explanation:−(6y−9.6z+3)
−6y+9.6z−3
PLEASE HELP QUICK!! the cost of one litre of fuel in May 2015 was $0.88. this was a decrease of 20% on the cost in may 2014. calculate the cost of one litre of fuel in may 2014
Answer:
$1.1
Step-by-step explanation:
[tex] \frac{100}{price \: before \: \: decrease \: (x)} \: = \frac{100 - 20}{0.88} [/tex]
[tex] \frac{100}{x} = \frac{80}{0.88} [/tex]
Cross multiply
80x = 88
X = 88/80
X = 1.1
the cost of one liter of fuel in May 2014 was $1.10.
Let's denote the cost of one liter of fuel in May 2014 as "x" dollars.
According to the information given, the cost of one liter of fuel in May 2015 was a decrease of 20% on the cost in May 2014. This means that the cost in May 2015 was 80% of the cost in May 2014.
Mathematically, we can express this as:
Cost in May 2015 = (100% - 20%) * Cost in May 2014
0.88 = 0.8 * x
Now, let's solve for "x" (the cost in May 2014):
x = 0.88 / 0.8
x = 1.10
So, the cost of one liter of fuel in May 2014 was $1.10.
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help me pls help please???
Answer:
3 – x
Step-by-step explanation:
A number in this case we will as x. And 3 less than x is -
3 – x
x - 3
Hope i helped ya!
3x = 243
Which value of x will make the equation true?
O A. 4
4
O B. 5
5
O c. 6
O
D. 27
O E. 81
Answer:
81
Step-by-step explanation:
what is the lateral area of this triangular prism
Answer:
A triangular prism is a three-dimensional shape having two triangular bases and three rectangular sides
Step-by-step explanation:
i= $100.10
p= $1100
r= 10.0%
t= ? years
Step-by-step explanation:
1 year
thabkyou for brainly
Jamie is looking for the rate and unit rate of the following ratio below.
12 napkins costs 20 cents
What is the rate AND unit rate of this ratio?
Answer: in explanation
Step-by-step explanation:
Rate is simplest form, so 3 napkins for 5 cents.
Unit rate is for 1 x value, so 1 napkin for 0,6 cents.
What is the variable equal to? t • 5 = 60
Answer:
12
Step-by-step explanation:
t x 5 = 60
60/5 = 12
Answer:
t = 12
Step-by-step explanation:
t*5 = 60
Divide both sides by 5
t = 60/5
t = 12
What's the answer ??
Answer:if one part is bigger than the other then its bigger
this should help
Answer:
(8 × 3) + (8×2)
Step-by-step explanation:
5
What are the slope and y-intercept of the linear function
graphed to the left?
4
3
NG
O slope: -2; y-intercept: 2
O slope: - : y-intercept: 1
O slope: 1; y-intercept: 2
2
5 -3 -2 -11
-2+
TY?
O slope: 2; y-intercept: 1
-4
Answer:
(2)
Step-by-step explanation:
slope:-1/2
y-intercept:1 (because the function passes (0,1))
The slope of the linear function is -2 and the y-intercept is 2. Therefore, the correct answer is: slope: -2; y-intercept: 2.
What is linear function?A linear function is a type of function where the rate of change of the dependent variable (y) with respect to the independent variable (x) is constant. In other words, the graph of a linear function is a straight line.
To determine the slope and y-intercept of the linear function graphed, we can use the slope-intercept form of a linear equation, which is:
y = mx + b
Where m is the slope and b is the y-intercept.
Looking at the graph, we can see that the line passes through the y-axis at the point (0, 2), which means that the y-intercept is 2. To find the slope, we can choose any two points on the line and use the formula:
slope = (change in y) / (change in x)
For example, we can choose the points (-1, 0) and (1, -4) which lie on the line. The change in y is -4 - 0 = -4, and the change in x is 1 - (-1) = 2. Therefore, the slope is:
slope = (change in y) / (change in x) = -4 / 2 = -2
Hence, the slope of the linear function is -2 and the y-intercept is 2. Therefore, the correct answer is:
slope: -2; y-intercept: 2
Thus, the answer is slope: -2; y-intercept: 2.
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which pair of terms are not like terms?
A. 4a and 7a
B. 3p^2q and -p^2q
C. 2mn and mn^2
D. -x and 3x
Answer:
C.
Step-by-step explanation:
Like terms must have exactly the same variables and exactly the same exponents.
In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.
Answer: C.
An item costs $660. The sales tax rate is 7.5%. What is the amount of sales tax?
Answer:
49 dollars 50 cents
Step-by-step explanation:
this is easy. Just do 7.5 percent of 660 which is $49.50
Given: F(x)= 2x - 1; G(x)= 3x + 2; H(x)= x^2
Find F(x) + G(x) + H(x)
Answer:
4
Step-by-step explanation:
Answer: 6x^2+1
(very sorry if this is wrong lol)
Step-by-step explanation:
Substitute all the given numbers into the equation, by doing so this should give you 2x-1+3x+2+x^2.
Since we have a group of x’s add them together, which would make 6x^2, this leaves our -1 and +2 add these these two numbers together to make plus one and finally you will have 6x^2+1
list the side of the triangle in order from shortest to longest.
Answer:
shortest to longest -
B-77
A-59
C-44
Step-by-step explanation:
To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.
I HOPE THIS IS CORRECT!! SORRY IF NOT!!
The corporate team-building event will cost $16 if it has 4 attendees. If there are
5 attendees, how much will the corporate team-building event cost? Solve using
unit rates.
Answer: $20
Step-by-step explanation:
We will assume that there is a per-person cost:
$16/4 attendees = $4/attendee
($4/attendee)*5 attendees = $20
2².23 =
(Type your answer using exponential notation. Simplify your answer.)
Answer:
2^2 * 2^3 = 32
2^5 = 32
Step-by-step explanation:
2*2*2*2*2 = 32
A company manufactures plastic bags. If each month it sells 518 plastic bags for $0.05 per bag, how much money could the company make in a year?
Will give brainlessly if correct
Answer:
$310.8 khoydoydydyiivkfi
Write the expression as a power and evaluate it. 8*2^7
Answer:
1024
Step-by-step explanation:
The expression can be written as [tex]8 * 2^7[/tex]
What is power?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Example: The standard form of the polynomial 5 + 2x + x² is expressed.
We shall first determine the polynomial's degree before expressing it in standard form.
The degree of the provided polynomial is two. Write the phrase containing the polynomial's degree.
Given:
8*2^7
The above expression can be written as
[tex]=8 * 2^7[/tex]
= 8 x 128
= 1024.
Hence, the expression can be written as [tex]8 * 2^7[/tex]
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Guven O centre of the circle, find x
I just want to check my answers. my answer is x= 24.5⁰
If it is wrong is tell me in the comments.
and if you know the right answer, please answer the question with full explanations.
thanks.
Answer:
x= 21 is correct answer because x and 21° are opposite angles and opposite angles are congruent
Answer:
21 degrees
Step-by-step explanation:
Angle subtended by the arc is half the angle at the centre of the circle(98 degrees).
I'll give Brainliest and 45 points: A box of cooked whole wheat spaghetti contains 8 servings and has 28 grams of fiber.
How much fiber per serving does the spaghetti have?
Answer:
3.5 grams
Step-by-step explanation:
8/8=1, 28/8=3.5
3.5 grams per serving
Lucy spent $3.19 on a sparkly headband and $2.67 on a shiny bracelet. How much more did Lucy spend on the sparkly headband?
Answer:
$0.52
Step-by-step explanation:
3.19 (headband) - 2.67 (bracelet) = 0.52
Need help on this ASAP I’m having trouble solving :(
Answer:
B
Step-by-step explanation:
Please help I’ll give brainily
Answer:
C
Step-by-step explanation:
Equations of lines that are perpendicular have gradients that are negative reciprocals of each other. This means that the gradient of one of the lines is negative 1 times the fraction flipped.
With the equations presented in the form y = mx + c, the gradient is m. This means you need to look for the values of m where one is the negative reciprocal of the other.
In C, the first gradient is 6/11. The reciprocal (flipped) is 11/6. Make this negative and you get -11/6, which is the gradient of the second equation, so these lines are perpendicular.
