Answer:
The rectangle above shows its dimensions. Find the perimeter.
First, substitute the values for the width
(W)
and the length
(L)
into the perimeter formula.
P=2(12)+2(9)
Next, complete the multiplication and addition to find the perimeter.
PPP===2(12)+2(9)24+1842
The answer is 42.
The perimeter of the rectangle is 42 inches.
Area is the amount of square units inside the figure. Area is found by multiplying the
length×width
. The formula for finding the area of a rectangle is:
A=L×W
You can use the dimensions from the rectangle above to find the area of this rectangle.
First, fill the values for
L
and
W
into the formula for area.
AA==L×W12×9
Next, solve for the area by multiplying.
AA==12×9108
The answer is 108.
The area of the rectangle is
108 in2
.
Notice that the unit of measurement for area is squared. That is because you multiplied a unit measure times itself:
in×in=in2
. Area is always written in square units.
You can also find the perimeter and area of a square. Remember that a square has four equal sides given the symbol
s
. You can use the following formula for finding the perimeter of a square:
P=4s
Let’s look at an example.
A rectangle has a length of 12 feet and a perimeter of 72 feet. Write and solve an equation to determine the width of the rectangle.
First, substitute the values for the perimeter
(P)
and the length
(L)
into the perimeter formula.
72=2(12)+2W
Next, complete the multiplication.
72=24+2W
Then, subtract 24 from both sides to get your variable alone on the right side.
72−2448==24−24+2W2W
Then, multiply both sides by the reciprocal of 2 to isolate your variable.
12×481482W===12×2W1W24
The answer is 24.
The width of the rectangle is 24 feet.
The width of the rectangular garden is 5 2/3 feet
We have the following information available from the question is:
The area of a rectangle is 53 5/6 square feet
and, the length (L) of the garden is 9 1/2 feet
We have to find the width (W) of the rectangle.
Now, According to the question:
We know that :
The area of rectangle = L × W
Plug all the values in above formula:
53 5/6 = 9 1/2 × W
323/6 = 19/2 × W
[tex]W=\frac{323(2)}{6(19)}[/tex]
W = 17/3
17/3 as a mixed number would be 5 2/3.
Hence, The width of the rectangular garden is 5 2/3 feet
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Given f(x)=3x-4 and g(x)=-2x+7 evaluate
Step-by-step explanation:
e...
First;
g(5)=-2×5+7=-3
then
f(g(5))=3×-3-4=-9-4=-13
f...
g(2)=-2×2+7=3
now
g(g(2))=-2×3+7=1
write an addition equation or subtraction equation your choice to describe the diagram. I'll Mark brainest
Answer:
[tex]0+2-4=-2[/tex]
Step-by-step explanation:
We start at 0 and move 2 to the right to get to 2. Then, we move 4 to the left to get to -2.
So, our equation is [tex]0+2-4=-2[/tex], the 0 being our starting point, the +2 coming from moving to the right 2, the -4 coming from moving to the right 4, and the -2 being our end point.
The price of a gallon of gas went from $2.34 to $2.99. What is the percent increase?
Answer:
64
Step-by-step explanation:
99-34=64
the two stays the same
5,339x6= What is the estimate
- BRAINLIEST answerer ❤️
Which statement correctly describes the relationship between the graph of f(x) and the graph ofg(x)=f(x)−1 ?
The graph ofg(x)is the graph of f(x) translated 1 unit up.
The graph ofg(x)is the graph of f(x) translated 1 unit right.
The graph ofg(x)is the graph of f(x) translated 1 unit down.
The graph of g(x)is the graph of f(x) translated 1 unit left.
Answer:
C. The graph of g(x) is the graph of f(x) translated 1 unit down.Step-by-step explanation:
The relationship is the vertical shift of f(x) 1 unit down.
Correct choice is C
Answer:
The graph of g(x)is the graph of f(x) translated 1 unit down.
Step-by-step explanation:
y' = y - 1
Consider the graph of f(x)=13x−2. How do the graphs of 2f(x), f(x+2), and f(x)+2 compare to the graph of f(x)? Drag tiles to the empty boxes to correctly complete each sentence. The graph of 2f(x) Response area the graph of f(x). The graph of f(x+2) Response area the graph of f(x). The graph of f(x)+2 the graph of f(x).
Using translation concepts, it is found that:
2f(x) is a vertical stretch by a factor of 2 of f(x).f(x + 2) is a shift left of 2 units of f(x).f(x) + 2 is a shift up of 2 units of f(x).What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
As for this problem, we have that:
For 2f(x), f(x) is multiplied by 2, hence it is a vertical stretch by a factor of 2 of f(x).For f(x + 2), x -> x + 2, hence f(x + 2) is a shift left of 2 units of f(x).For f(x) + 2, f(x) -> f(x) + 2, hence it is a shift up of 2 units of f(x).More can be learned about translation concepts at https://brainly.com/question/4521517
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I NEED HELP ON THIS SO I CAN PASS
Answer:
the answer is 1st.
because _ ✖️ _= +
Another way to write above expression is :
[tex]{ \bigg( - \dfrac{2}{3} \bigg) }^{2} [/tex]A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin ☺️
Ethan is cutting a 36-inch sub into slices that are
2- inches thick. How many slices will he cut?
Answer:
He can cut 18 slices!
Step-by-step explanation:
Answer:
18
Step-by-step
ive learned this before
I am super confused about my stats homework. Every time I get the question wrong, it gives me a new set of numbers. Help!
Given the function y = (x - 2)2 graphed below, which restriction of the domain will result in
the inverse being a function?
VIEW IMAGE FOR GRAPH!
A: y = (x - 2)^2 , x ≥ 1
B: y = (x - 2)^2 , x ≥ 2
C: y = (x - 2)^2 , x ≥ 0
D: y = (x - 2)^2 , x ≥ -2
The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
Then the parabolic function is given below.
y = (x - 2)²
The restriction of the domain will result in the inverse being a function given as,
x - 2 ≥ 0
x ≥ 2
The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.
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simplify the expression -2(x+3)
Answer:
-2x - 6
Step-by-step explanation:
I used a calculator :)
The answer is number 3
-2x-6
Hope this helps
1 gallon can of paint for $13.99 and 5 gallon bucket of paint for $67.45. Which one is cheaper
Answer:
the 5 gallon
67.45 ÷ 5= $13.49
hey, could anyone solve this please?
it's driving me crazy.
Answer:
i think the answer is 17, but idontknow.
Step-by-step explanation:
:) sorry!!
A bag contains the following marbles: 10 black marbles, 6 blue marbles, 14 brown marbles, and 18 green marbles. What is the ratio of green marbles to black marbles? Express your ratio as a fraction or with a colon.
Answer:
18:6 or 3:1
Step-by-step explanation:
The expression shown is equivalent to
A:-4w⁶
B:-4W³y
C:9W⁶
D:9W³
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
11, 6, 1, ...
Answer:
Arithmetic, common difference = -5
Step-by-step explanation:
11 - 6 = 5
6 - 1 = 5
2. An apartment complex has a demand given by p = -5x + 860,
where x is the number of apartments rented and p is the price
for each apartment, in dollars. The cost of maintaining the
complex is $120 per rented apartment. There are fixed costs of
$6000.
a) Find the revenue equation.
b) Find the cost equation.
c) Find the profit equation.
d) Find the number of apartments that must be rented to break
even.
The required equations computed from the data given are :
R(x) = 860x - 5x²C(x) = 120x + 6000P(x) = 740x - 5x² - 6000Break even point = 139 gallons and 9 apartmentGiven the Parameters :
Price per apartment, p = - 5x + 860x = number of apartments rented Fixed cost = 6000Maintainance cost per apartment = $120The Revenue Function, R(x) :
Price per apartment × Number of apartments rented (-5x + 860)x ; R(x) = 860x - 5x²The Cost equation, C(x) :
Fixed cost + Maintenance cost per apartment C(x) = 6000 + 120xThe Profit function, P(x) ::
P(x) = R(x) - C(x)
P(x) = 860x - 5x² - (6000 + 120x)
P(x) = 860x - 5x² - 6000 - 120x
P(x) = 740x - 5x² - 6000
Number of apartments required to break even :
At break even ;
P(x) = 0
740x - 5x² - 6000 = 0
Divide through by 5
-x² + 148 - 1200 = 0
Using a quadratic calculator :
The roots are (139.39, 8.60)
Therefore. The company will break even at 139 apartments rented or 9 apartments.
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Evaluate.
−|a+b|/2−c when a=1 7/8 , b=−1 , and c=−4
Enter your answer as a simplified fraction in the box.
a= 1 7/8 {Given}
b=-1
c=-4
Putting values;[tex] \frac{ - | 1\frac{7}{8} + ( - 1)| }{2} - ( - 4)[/tex]Convert the mixed number to an improper fraction[tex] \frac{ - | \frac{15}{8} + ( - 1) | }{2} - ( - 4)[/tex]When there is a + in front of an expression in parentheses, the expression remains the same&When there is a - in front of an expression in parentheses, change the sign of each term in the expression[tex] \frac{ - | \frac{15}{8} - 1| }{2} + 4[/tex]Calculate the difference[tex] \frac{ - | \frac{7}{8} | }{2} + 4[/tex]The absolute value of any expression is always positive or zero[tex] \frac{ - \frac{7}{8} }{2} + 4[/tex]
Use [tex] \frac{ - a }{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] to rewrite the fraction[tex] - \frac{ \frac{7}{8} }{2} + 4[/tex]Simplify the complex fraction[tex] - \frac{7}{16} + 4[/tex]Calculate the sum[tex] \frac{57}{16} [/tex]Solved ✔︎An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of -|a + b| / 2 - c when a = [tex]1\frac{7}{8}[/tex], b = -1, and c = -4 in a mixed fraction is [tex]3\frac{9}{16}[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
- |a + b| / 2 - c
The value of -|a + b| / 2 - c
when,
a = [tex]1\frac{7}{8}[/tex] = 15/8
b = -1
c = -4
= [- |a + b| / 2 ]- c
= [ - | 15/8 + (-1) | / 2] - (-4)
= [ - | 15/8 - 1 | / 2 ] + 4
= [ - | (15-8)/8 | / 2 ] + 4
= [ - | 7/8 | / 2 ] + 4
= { -7/(8 x 2) ] + 4
= -7/16 + 4
= (-7 + 16x4) / 16
= (-7 + 64) / 16
= 57 / 16
We have to write in a mixed fraction.
= [tex]3\frac{9}{16}[/tex]
Thus,
The value of -|a + b| / 2 - c when a = [tex]1\frac{7}{8}[/tex], b = -1, and c = -4 in a mixed fraction is [tex]3\frac{9}{16}[/tex].
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Y-(-3y) create an equivalent equation
9514 1404 393
Answer:
4y
Step-by-step explanation:
There are an infinite number of equivalent expressions. One of them can be obtained by combining the terms
y -(-3y) = y +3y = y(1 +3) = 4y
__
All of the expressions shown as equal are equivalent.
Which of the functions below could have created this graph?
A. F(x) = x2 + x2+x+1
B. F(x)= x2 +5
F*+6
c. - *-+*
(-)y-
D
Answer:
only D is negative on the leading term
the square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole
Answer:
fraction: 62/100=31/50
decimal: 0.62
percentage: 62%
Step-by-step explanation:
i will give brainliest to the right answers
please help
Answer:
first answer = 2
second answer = 12
third answer = - 12
fourth answer = 2
A park has a grassy section that covers 2 1/3 acres. Denny mowed half of the grassy section. What is the number of acres that Danny mowed?
Answer:
7/6 (1 1/6)acres
Step-by-step explanation:
The grassy section covers 2 1/3 acres overall. To find half of that, we divide it by two because half of an amount or object is one of the two equal parts that together make up the whole amount or object.
To turn a mixed number (in this case, 2 1/3) into an improper fraction, multiply the whole number with the denominator of the proper fraction.
2*3 = 6Add the numerator to this product to obtain the numerator of the improper fraction.
6 + 1 = 7
so the improper fraction is 7/3
then we multiply that fraction by 1/2 because we are trying to find half of the overall section
7/3 * 1/2 = 7/6
Dịch các câu sau đây thành các biểu thức logic bằng cách sử dụng các vị từ, lượng từ và các liên từ: a) Không có ai là hoàn hảo h) Không phải mọi ngươi đều hoàn hảo c) Tất cả các bạn của bạn là hoàn hảo. d) Một trong sỐ các bạn của bạn là hoàn hảo. e) Mọi người đều là bạn của bạn và đều hoàn hảo. ) Không phải mọi người đều là bạn của bạn hoặc có ai đó không hoàn hảo.
Answer:
that's alot but no english speak english it is long
What were some of their hardships in r obstacles that Martin Luther king jr had in their life?
In your own words
Answer: I would say that some of the Three challenges Martin Luther King Jr. faced in the battle for equal rights included the opposition of "good" white people to his tactics, his realization that the only way to win civil rights was to proceed nonviolently, and pushback against his plan in the late 1960s to unite Black people and white people in a war on poverty.
Step-by-step explanation:
Answer:
Martin Luther king faced many hardships and challenges in the duration of his life. His right to freedom of speech was violated constantly, resulting in him to get arrested, threatened, bombed, and even stabbed. He was targeted by people who didn’t want change. They wanted things to stay the way they were, where segregation was enforced, and the inequality of races continued. Although he was a subject to violence all his life, he never gave up and his dream impacted the world and became a reality.
Step-by-step explanation:
a plant measures 0.5 in. at the end of week 1 and 14 in. at the end of week 5
Answer:
it is 67.5 inches at the end of week 5
Step-by-step explanation:
the total is 13.5 inches in one week because it started at 0.5 inches then you add 13.5+13.5+13.5+13.5+13.5=67.5
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 point
(g + 4) – 3g = 1 + g
can someone help me?
G=?
Estimate 53.8-27.6. circle the compatible numbers to substitute
54-28 53-28 55-27 55-25
Answer:
54 - 28
Hope this helps :)
The compatible numbers to substitute is 54 - 28
How to determine the compatible numbers to substituteFrom the question, we have the following parameters that can be used in our computation:
Estimate 53.8 - 27.6
This means that we approximate the numbers in the expression
using the above as a guide, we have the following:
53.8 = 54
27.6 = 28
Hence, the compatible numbers to substitute is 54 - 28
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divide
-4 2/5 % (-5)
a. -22/55
b.8/25
c.22/55
d.-8/25
Answer:
c but the real answer is 2/25
Step-by-step explanation: