Answer:
[tex]h(x)=6x^2+4x[/tex]
Step-by-step explanation:
As the rectangle's length, f(x), is 2 more than three times a unit length, x, so,
f(x)=3x+2
As the rectangle's width, g(x), is twice the unit length, x, so,
g(x)=2x.
The length and width of the rectangle are related to the area and the perimeter of the rectangle. So, the length, f(x), and the width, g(x), can be combined to give the area or perimeter, h(x).
So, h(x) might be the area or the perimeter of the rectangle.
If h(x) is the area, then
[tex]h(x)=f(x) \times g(x)[/tex] [as area=lenght x width]
[tex]\Rightarrow h(x)=(3x+2)\times 2x[/tex]
[tex]\Rightarrow h(x)=6x^2+4x[/tex] (this is in the given options)
If h(x) is the perimeter, then
[tex]h(x)=2\{f(x) + g(x)\}[/tex] [as perimeter=2(lenght + width)]
[tex]\Rightarrow h(x)=2\{(3x+2)+ 2x\}[/tex]
[tex]\Rightarrow h(x)=2(5x+2)[/tex]
[tex]\Rightarrow h(x)=10x+4[/tex] (not in the given options)
So, from the given options [tex]h(x)=6x^2+4x[/tex] is correct.
Answer:
h(x) = 6x^2 + 4x
Step-by-step explanation:
Got it right on lesson.
use the net to find the surface area of the prism.(not drawn to scale)
ANSWERS:
268 m
402.62 m
725.32 m
853 m
Answer:
402.62
I used a surface area for a right triangular prism calculator
∠ R and∠ S are complementary. If m ∠ R = 12x - 3 and m ∠ S = 7x - 2, find m ∠ R.
m ∠ R = (blank)degrees
Step-by-step explanation:
Sum of two complementary angle is 90°so. <R+<S =90°12x-3+7x-2=90°19x-5=90°19x=95°X= 5<R= 60-3=57° How many is this
2( 9 - 7r ) + 8r
solving steps:
2( 9 - 7r ) + 8r
2(9) - 2(7r) + 8r
18 - 14r + 8r
18 - 6r
Answer:
18 - 6r
Step-by-step explanation:
2(9 - 7r) + 8r
Expand the brackets:
⇒ 2 · 9 - 2 · 7r + 8r
⇒ 18 - 14r + 8r
Combine like terms:
⇒ 18 - 6r
I need help before the test time runs out in like 4 min.
The table below shows the salary Jamal earned working at his new job. How much does Jamal earn per hour?
Hours Money Earned
4 $51.00
8 $102.00
12 $153.00
Group of answer choices
$12.75
$10.25
$11.50
$14.50
Answer:
12.75
Step-by-step explanation:
Answer:
12.75
Step-by-step explanation:
4H=51$
1H=?
u will find it when u criss-cross it
Find the arcumierence of the circle
iready area and circumference of a circle
Answer:
72.22
Step-by-step explanation:
C = [tex]\pi \: d[/tex]
3.14×23=72.22
The circumference of a circle whose radius is 11.5 inches.
Thus, option (a) is correct.
Given:
Diameter = 23 inch
So, Radius of circle = diameter/2
=23/2
= 11.5 inch
Now, the formula for circumference of a circle is
= 2πr
Substituting the value of r= 11.5 into the formula as
= 2 x 3.14 x 11.5
= 72.22 inches
Thus, the circumference of circle is 72.22 inches.
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(1, 0) is an ordered pair of the function f(x) = 1 + x. True False
edjfrjenfmdkefehnjfn3mfrjfnrjnfmrmfkrnfj
it is false
recursive formula for 0.15, 0.17, 0.19, 0.21, 0.23
Answer:
An = a1 + (n-1) d
Step-by-step explanation:
what is the equation of a line that is parallel to x + 3y =12 and goes through (6,-3) in slope intercept form
Answer: -1/3 x -1
Step-by-step explanation:
By doing some stuff, you get the slope of the first line as -1/3. Set up -1/3 x +b and you plug in the coordinates. That makes b= -1. Hope it helps :)
A rectangle has a length of x and a width that is 8 units shorter than twice the length.
a. Draw a picture to represent the box.
b. Write a simplified polynomial to represent the area of the rectangle.
c. What would the area be if = 10 ?
Step-by-step explanation:
length = x
width = 2x-8
b.) to get the area you need to multiply the length and the width.
l×w= area
x(2x-8)
2x^2-8x
c.) 2x^2-8x = 10
subtract 10 both sides
2x^2-8x-10 = 0
2(x^2-4x-5) = 0
2(x-5)(x+1) = 0
x = 5
the area would be 10.
write the equation in slope-intercept form.
Answer:
y = 2x - 3Step-by-step explanation:
Given line:
y = - 1/2x - 1We need to find a line that is perpendicular to the given line and passes through the pint (6, 9)
We know perpendicular lines have opposite-reciprocal slopes.
The slope of the line is:
(-1) / (- 1/2) = 1 *2 = 2Use point-slope form to find the line:
y - 9 = 2(x - 6)Convert the equation into slope-intercept form:
y - 9 = 2x - 12y = 2x - 12 + 9y = 2x - 3In Xavier's grade, there are 100 students. Currently, 90% of them are enrolled in health. How
many students are enrolled in health?
Answer:
90
Step-by-step explanation:
Conversion from percent to decimal: x% = 0.01x
90% of 100 is equal to 0.9 * 100 = 90
Hope this helps
Answer:
90
Step-by-step explanation:
because it is 100 so percent is same
The guttering hold up to 20 litre of rain water. Work out the length of guttering in meters if the diameter is 11.5cm.
Answer:
1107.0213 cm
Step-by-step explanation:
Assuming this gutter is half a cylinder,
Volume of half a cylinder = 0.5(πr²l)²
where, Volume = 20l, π = 3.142, r = 0.5(11.5) and l = ?
But, the other units are in cm while the Volume is in liters, so let's convert the liters to cm³
It would be easier to convert the liters to m³ then to cm³ rather than converting directly. So,
1000 L = 1 m³
1 L = ?
1 ÷ 1000 = 0.001 m³
1 m³ = 1,000,000cm³
0.001 m³ = ?
0.001 x 1,000,000 = 1000 cm³
So, if 1 L = 1000 cm³
20 L = ?
20 x 1000 = 20,000 cm³
Thus, 20,000 = 0.5(3.142 x 0.5(11.5) x l)
20,000 = 0.5(3.142 x 5.75 x l)
20,000 = 18.0665l
Make l the subject and divide both sides by 18.0665
length = 1107.0213 cm
Find the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9
a.6.7
b.6.73
c.6.71
d.6.72
The distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The distance between the two straight parallel lines can be found by finding the difference between the y-intercept of the two lines. Therefore, for the two of the given equation, the value of the y-intercept can be written as,
Y-intercept of -4x + 7y + 9 = 0
-4x + 7y + 9 = 0
7y = 4x - 9
y = (4x - 9)/7
y = 4x/7 - 9/7
y-intercept = -9/7
Y-intercept of y = 4/7x - 9
y = 4/7x - 9
y-intercept = -9
Now, the difference distance between the two lines will be,
Distance = Difference between the y-intercept
= -9 - (-9/7)
= -9 + 1.2857
= 7.71
Hence, the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.
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For every 3 tickets you sell, your friend sells 4. You sell a total of 12 tickets. How many does your friend sell? Complete the ratio table to solve the problem.
Step-by-step explanation:
Total tickets I sell =12
For every 3 tickets I sell, my friend sells 1 more.
I sell 12/3 (=4)sets of 3 tickets.
So, my friend sells 12 +4 (=16)tickets.
In the diagram, AC is a diameter of the circle with center O. If m_ACB = 50°, what is m_BAC?
Answer: Your answer 40°
Step-by-step explanation:
Hope this helped!
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Sam had some money in his pocket, and he found another $6. 50 in his dresser drawer. He then had a total of $19. 75. Let p represent the amount of money Sam had in his pocket. Which equation can you use to find the amount of money Sam had in his pocket? How much money did Sam have in his pocket?.
Answer:
$26.25Solving steps:
Question: Sam had some money in his pocket, and he found another $6. 50 in his dresser drawer. He then had a total of $19. 75. Let p represent the amount of money Sam had in his pocket. Which equation can you use to find the amount of money Sam had in his pocket? How much money did Sam have in his pocket?.
Find: How much money did Sam have in his pocket?.
Solution: Let the equation be
=> P = T +Fp represent amount of money
p represent amount of moneyt represent total
p represent amount of moneyt represent totalf represent money found
=> P = T + Finsert the values
=> P = $19.75 + $6.50add 19.75 from 6.50
=> P = 26.25THEREFORE THE AMOUNT OF MONEY SAM HAVE IN HIS POCKET IS ABOUT $26.25
Answer:
p + 6.5 = 19.75
Step-by-step explanation:
i got it correct
help me I don't know how to do this
Answer:
3 sketch oads and 2 pencil
Step-by-step explanation:
I hope this can help you
Which shows the correct placement of the decimal point in the product?
52.1
× 3.4
1771.4
177.14
17.714
1.7714
i will crown to correct answer pls and ty
Answer:
b.177.14
Step-by-step explanation:
because 52.1x 3.4 = 177.14
Order from least to greatest.
What is the measure of the indicated angle?
Answer:
Interior measure of triangle always equal up to 180°.
65+90+? = 180
155+? = 180
? = 180-155
? = 25
5/12 x 2/5???
CAN SOMEONE PLEASE ANSWER
20 Point Reward!!!!
Answer:
1/6
Multiply 5/12 x 2/5 then cross cancel 12 and 2 and get 6 then cross cancel 5 and 5 to get 1.
Final answer:
1/6
2
Think: A student attempted to solve the equation below by Pair/Share: Do you agree or
completing the square.
disagree with the steps taken so
far? Explain.
x²- 2x-1=2
+1+1
because ...
x ²-2x=3
XP-2x +1 = 3+1
*²-2x + 1 = 4
(X+1}=4
b = 2
half:-1
Square: 1
Answer:
Step-by-step explanation:
Here is how to solve it using factoring:
x^2 - 2x - 1 = 2
x^2 - 2x - 3 = 0
(x + 1)(x - 3) = 0
x = -1, 3.
Answer:
your process is not correct
(x^2-2x+1 = 3+1)
you were wrong here
Step-by-step explanation:
I am not good in english so it is hard for me to explain...
(17.7) x (11.4)
Show the work that helped you solve it please
The sides of a triangle are represented by (3s - 1), (2s + 5), and (s + 4).
1.)Find the expression for the perimeter of the triangle.
2.) What will be the perimeter if s = 7?
Answer:
1) 6s + 8
2) 50
Step-by-step explanation:
1)
To find the perimeter, add the lengths of the sides.
perimeter = 3s - 1 + 2s + 5 + s + 4
perimeter = 6s + 8
2)
Replace s with 7 in the perimeter expression.
perimeter = 6(7) + 8
perimeter = 42 + 8
perimeter = 50
Answer: 6s+8
Step-by-step explanation:
just did the assignment
Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 12 strawberries, how many grapes will she use?
Answer:
24
Step-by-step explanation:
12/2=6
6*4=24
Answer:
Beth will use 24 grapes.
Step-by-step explanation:
Not going to lie I forgot how i got my answer but ik its good.
Need Help! 50 points!!
Answer:
see below
Step-by-step explanation:
eq.1 2a - b + 2c = -8
eq.2 5b - 3c = 21
eq.3 -7a -10c = -2
3 equations, 3 unknown.
first step is to eliminate b using eq1 and eq2
2a - b + 2c = -8 (5)
5b - 3c = 21
10a - 5b + 10c = -40
5b - 3c = 21
10a + 7c = -21 ------------eq. A
lets solve a using eq. A
10a + 7c = -21
a = (-7c - 21) / 10
now substitute a into eq.3
-7a -10c = -2
-7(-7c - 21) -10c = -2 distribute
10
4.9c + 14.7 - 10c = -2 add similar terms
-5.1c = -2 - 14.7 simplify
c = -16.7 / -5.1
c ≈ 3
solve b using eq. 2 and substitute c.
5b - 3c = 21
5b = 21 + 3c
5b = 21 + 3(3.2)
b = 30.825 / 5
b ≈ 6
solve a using eq. A
10a + 7c = -21
10a + 7(3.2) = -21
10a = -21 - 22.4
a = -43.4 / 10
a ≈ -4
therefore, the statement (-4, 6, 3) is correct.Answer:
a
Step-by-step explanation:
what is 360 divided by 12
Answer:
30
Step-by-step explanation:
use calculator LOL
360 divided by 12 is 30.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Dividend=360
Divisor=12
Now
=360/12
=30
Therefore, by algebra answer will be 30.
More about the Algebra link is given below.
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A G.P. Bulk bills at $41.20 per consultation, and sees a new patient every 15 minutes for 3 hours. A new employee calculates the number of patients and then calculates the Medicare bill as follows: Number of patients: 3 ÷ 0.15 = 20 Medicare bill: 20 × $41.20 = $ 824
Given that,
A G.P. Bulk bills at $41.20 per consultation, and sees a new patient every 15 minutes for 3 hours.
Solution,
3 hours means 180 minutes
It means that he sees a new patient every 15 minutes for 180 minutes.
No of patients = [tex]\dfrac{180}{15}=12[/tex]
Fees for per consultation is $41.20. Total bill will be :
Bill = $41.20×12
= $494.4
He has not converted 3 hours to minutes. It is the error made by the new employee. He get wrong Medicare bill for the patients.
If mZ1 = 53° and mZ2 = 71°, find m24.
Answer:
53
Step-by-step explanation:
Complete the table below. Show all your work.