Answer:
210
Step-by-step explanation:
5x7x6
What is the inverse of the function below?
f(x) = -2
2.
O A F'(x) = 3(x+2)
OB. F'(x) = 2(x+3)
c. f'() = 3(x - 2)
D. F'(x) = 2(x - 3)
If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140
Answer:
[tex]P =5x-260[/tex]
Step-by-step explanation:
Given
[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue
[tex]C = 3x^2 - x + 200[/tex] --- Cost
Required
The expression for profit (P)
This is calculated as:
[tex]P =R - C[/tex]
So, we have:
[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]
Open bracket
[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]
Collect like terms
[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]
[tex]P =5x-260[/tex]
If the profit is the difference between the revenue and the cost, 5x – 260 expression represents the profit. Correct option is 3.
The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:
Profit (P) = Revenue - Cost
Among the given options:
1. 3x - 260
2. 3x + 140
3. 5x - 260
4. 5x + 140
We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.
Option 3, 5x - 260, fits this pattern:
- Revenue: 5x
- Cost: 260
When we subtract the cost from the revenue:
Profit (P) = Revenue - Cost = 5x - 260
So, option 3, 5x - 260, is the expression that represents the profit.
To know more about profit:
https://brainly.com/question/24093318
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Complete question is:
If the profit is the difference between the revenue and the cost, what expression represents the profit?
1. 3x – 260
2. 3x + 140
3. 5x – 260
4. 5x + 140
The area of the triangle is 42 square inches. Determine the length of the height, by applying the formula of area of triangle.
Answer:
The answer is height=7
Step-by-step explanation:
Formula needed for this problem is Area= Base times Height divided by 2.
The first step to solving this problem is to do the exact opposite of this formula. since we already know the area we will multiply that by two to get 84. Then 84 will be divided by 12 to get 7. If anything confuses you on this problem please feel free to ask!
Solve the system by substitution.
y = 7x– 45
Y = 2x
Answer:
(x,y)=(9,18)
Step-by-step explanation:
What is the solution for the following system of equations?
5x + 7y = 3
2x + 3y = 1
O (-1,2)
O (1,-2)
O (-2,1)
O (2,-1)
Step-by-step explanation:
I recommend you to use matrices for systems of equations; it's a lot faster and more expedient.
Answer:
[tex](2, -1)[/tex]
Step-by-step explanation:
Given the system of equations:
[tex]\begin{cases}5x+7y=3,\\2x+3y=1\end{cases}[/tex]
Multiply the first equation by -2 and the second equation by 5, then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-2(5x+7y)=(-2)3,\\5(2x+3y)=(5)1\end{cases},\\\begin{cases}-10x-14y=-6,\\10x+15y=5\end{cases},\\-10x+10x-14y+15y=-6+5,\\y=-1[/tex]
Substitute [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]2x+3y=1,\\2x+3(-1)=1,\\2x-3=1,\\2x=4,\\x=\boxed{2}[/tex]
Therefore, the solution to this system of equations is [tex]\boxed{(2, -1)}[/tex]
How many meters of wire is needed to fence around this garden whose sides are 16m by 12m? ( not drawn to scale)
Answer: 56 m
Step-by-step explanation:
Given
The dimension of the garden is [tex]16\ m\times 12\ m[/tex]
So, the wire needed to fence around it is equal to the perimeter of the garden
[tex]\Rightarrow P=2(16+12)\\\Rightarrow P=2\times 28\\\Rightarrow P=56\ m[/tex]
what is the value of x
2/3x -32=35
Answer:
To find the value of x we need to simplify this.
The steps to simplifying are simple.
We need to take away, add and do a lot to a bunch of stuff, until we receive our answer.
___________________________
Let's continue.
___________________________
Alright, let's go ahead and show our steps.
[tex]\mathrm{Multiply\:both\:sides\:by\:}3x-32[/tex]
[tex]\frac{2}{3x-32}\left(3x-32\right)=35\left(3x-32\right)[/tex]
_____________________
[tex]Simplify = \\2=35\left(3x-32\right)[/tex]
_____________________
[tex]\mathrm{Switch\:sides}\\35\left(3x-32\right)=2[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}35\\\frac{35\left(3x-32\right)}{35}=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Simplify}\\3x-32=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{1122}{35}}{3}[/tex]
_____________________
[tex]Simplify = \\x=\frac{374}{35}[/tex]
_____________________
Therefore, the answer is x = 374/35
find the perimeter, halla el perimetro
Answer:
28 cm
Step-by-step explanation:
The perimeter (P) is the sum of the sides
P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )
= 8 + 6 + 8 + 6
= 28 cm
Consider the sequence 2/4, 3/5, 4/6, 5/7,... Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to [infinity].
Answer:
The sequence converges to 1.
Step-by-step explanation:
Sequence 2/4, 3/5, 4/6, 5/7
This sequence can be summarized as:
[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]
To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.
Limit:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]
Considering only the terms with the highest exponent in the numerator and the denominator:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]
Thus, the sequences converges to 1.
Write this number in scientific rotation. 1,490,000.
Answer and explain.
Answer:
4.9 x 10^5
Step-by-step explanation:
the answer is 4.9 x 10^5
Three siblings are doing their washing and hanging all the items on the washing line.
On each line there is a shirt, a jumper and a towel. Each one has one spotted, one plain and one striped item, BUT none of them has the same item in the same design as their sibling. Sandra’s jumper is the same design as Paul’s towel and Paul’s jumper is the same design as Kerry’s towel. Kerry’s jumper is stripped and Sandra’s shirt is spotted.
a) Who has a striped shirt?
b) What design is Paul’s towel?
c) Who has a spotted jumper?
Answer:
A.) Paul
B.) Plain
C.) Paul
Step-by-step explanation:
Paul: Shirt - Striped; Jumper - Spotted; Towel - Plain
Kerry: Shirt - Plain; Jumper - Striped; Towel - Spotted
Sandra: Shirt - Spotted; Jumper - Plain; Towel - Striped
Hope this helps! Have a nice dayy! :)
Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.
Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.
Explanatio: This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
i hope this helps u
La Base de un triangulo mide 28 cm y su altura es correspondiente, 3/7 cm de la base. calculen el area del triangulo
Answer:
168 cm²
Step-by-step explanation:
altura = 3/7 × 28 = 12 cm
area = ½×28×12 = 168 cm²
Two miles away from home, she had to walk the remaining four miles. She had to walk all the way back home. How many more miles did she walk than she rode?
Answer:
Distance rode = 6 miles
Step-by-step explanation:
distance from home = 2 miles
remaining distance = 4 miles
The distance rode = 4 + 2 = 6 miles
Peggy had four times as many quarters as nickles. She had $2.10 in all. How many nickles and how many quarters did she have?
Which of the following equations could be used to solve the problem?
n+4n=2.10
n+4n=210
5n+100n=2.10
5n+100n=210
Answer:
the answer is the third option
Step-by-step explanation:
Find the area of the circle. Round your answer to two decimal places, if necessary.
Answer:
379.94 in.²
Step-by-step explanation:
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2[/tex]
In the image, the diameter is shown.
To find the radius of a circle, divide the diameter by 2.
[tex]22/2=11[/tex]
The radius of this circle is 11 inches.
Next, multiply the radius by itself twice.
[tex]11*11=121[/tex]
Lastly, multiply the product by pi (3.14).
[tex]121*3.14=379.94[/tex]
Therefore, the area of this circle is 379.94 inches squared.
Solve for x. Round to one decimal place.
I keep messing this one up and im timed
Answer:
x ≈ 16.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/6[Multiplication Property of Equality] Multiply 6 on both sides: 6tan70° = xRewrite: x = 6tan70°Evaluate: x = 16.4849Round: x ≈ 16.5Can someone help me? It's urgent and thank you!
Answer:
its c trust me. ive seen some stuff like this before
The masses to the nearest kilogram of nine men were:
75, 68, 78, 82, 85, 90, 88, 92, 76.
Calculate the mean mass
Answer:
82 kg
Step-by-step explanation:
To find the mean of a set of values, we must add them up and divide by the number of values.
Step 1, adding the values:
[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]
Step 2, dividing by the # of terms:
There are 9 terms in total.
[tex]\frac{734}{9} =\\81.556[/tex]
To the nearest kilogram, we can round 81.556 into 82.
The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.
I hope this helps! Let me know if you have any questions :)
Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5
Answer:
First, we write the augmented matrix.
⎡
⎢
⎣
1
−
1
1
2
3
−
1
3
−
2
−
9
|
8
−
2
9
⎤
⎥
⎦
[1−1123−13−2−9 | 8−29]
Next, we perform row operations to obtain row-echelon form.
−
2
R
1
+
R
2
=
R
2
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
3
−
2
−
9
|
8
−
18
9
⎤
⎥
⎦
−
3
R
1
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
0
1
−
12
|
8
−
18
−
15
⎤
⎥
⎦
−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]
The easiest way to obtain a 1 in row 2 of column 1 is to interchange
\displaystyle {R}_{2}
R 2
and
\displaystyle {R}_{3}
R 3
.
Interchange
R
2
and
R
3
→
⎡
⎢
⎣
1
−
1
1
8
0
1
−
12
−
15
0
5
−
3
−
18
⎤
⎥
⎦
InterchangeR2andR3→[1−11801−12−1505−3−18]
Then
−
5
R
2
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
57
|
8
−
15
57
⎤
⎥
⎦
−
1
57
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
1
|
8
−
15
1
⎤
⎥
⎦
−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]
The last matrix represents the equivalent system.
x
−
y
+
z
=
8
y
−
12
z
=
−
15
z
=
1
x−y+z=8 y−12z=−15 z=1
Using back-substitution, we obtain the solution as
\displaystyle \left(4,-3,1\right)
(4,−3,1)
Juice is sold in two different sizes. An 18 gl oz bottle costs $1.10. A 36 gl oz bottle costs 2.75. Which is better to buy?
Answer:
The 18 ounce bottle costs less per ounce and is the better buy
Step-by-step explanation:
First find the cost per ounce for the 18 ounce bottle
1.10 / 18 =.0611111 per ounce
Then find the cost per ounce for the 38 ounce bottle
2.75 / 36 =.076388888
The 18 ounce bottle costs less per ounce
The king has 14 different colored flags that he uses to send coded messages to his general inn the field. For example blue-green-red might mean attack at dawn and red-green-blue- may mean retreat. He sends by arranging 3 of the flag atop the castle wall. How many coded messages can the king send?
Answer:
364 messages
Step-by-step explanation:
The king uses 14 flags in all and arranged 3 at a time to send a code to his general. The number of coded messages that can be sent by the king can be determined by;
Total number of colored flags = 14
Number of flags arranged per time = 3
So that,
[tex]^{14} C_{3}[/tex] = [tex]\frac{14!}{(14 - 3)!3!}[/tex]
= [tex]\frac{14!}{11!3!}[/tex]
= [tex]\frac{14*13*12*11!}{11!3!}[/tex]
= [tex]\frac{14*13*12*11!}{11!3*2!}[/tex]
= 364
[tex]^{14} C_{3}[/tex] = 364
The number of coded messages that can be sent by the king is 364.
x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.
Answer:
Vertex: (1, 6)
Axis of symmetry: x = 1
Step-by-step explanation:
HELP NEEDED ASAP!! Find the sine of B
I need help ASAP. I will give brainliest.
Answer:
see below
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = x-7
m = 1
b = -7
y = 4
m=0
b = 4
y = -2x+3
m = -2
b = 3
can you help me with these questions
Answer:
Girls: 50
Boys: 36
A) 60°
Step-by-step explanation:
86-14=72
72÷2=36
Girls=36+14=50
Boys=36
115+115+70=300
360-300=60°
Answer:
36 boys and 50 girls
the remaining angle measures 60°
Step-by-step explanation:
x = boy count
x + 14 = girl
x + x + 14 = 86
2x + 14 = 86
2x = 72
x = 36
x + 14 = 50
36 boys and 50 girls
the 4 angles of a quadrilateral = 360°
115° + 115° + 70° + x = 360°
300 + x = 360°
x = 360 - 300
x = 60°
The remaining angle measures 60°
Pick the geometric term that matches the real-world object. rectangular prism sphere cylinder triangular prism cube
Answer:
Assuming this is the book one the answer is rectangular prism.
The weight Wkg of a metal bar varies jointly as it's length L and the square of it's diameter D mm. If W=140 when D =4 and L=54, find D interm of W and L
Answer:
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Step-by-step explanation:
From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;
W [tex]\alpha[/tex] L[tex]D^{2}[/tex]
W = kL[tex]D^{2}[/tex]
where k is the constant of proportionality.
When W = 140, D = 4 and L = 54, then;
140 = k(54)[tex](4)^{2}[/tex]
= 864k
k = [tex]\frac{140}{864}[/tex]
= [tex]\frac{35}{216}[/tex]
k = [tex]\frac{35}{216}[/tex]
⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]
So that;
35L[tex]D^{2}[/tex] = 216W
[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3
Answer: Graph A
Step-by-step explanation:
What is the measure of
Answer:
PRQ = 86 degrees
