Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y = [tex]\frac{2}{3}[/tex] x + 3 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]
His error was in missing the negative sign from [tex]\frac{3}{2}[/tex]
Which of the following is an irrational number?
A. The square root of 81
B. 1.9
C. The square root of 16
D. The square root of 84
Answer:
D. The square root of 84
Step-by-step explanation:
the square root of 84 = 9.16515138991...
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C. Plot points C and D and draw a ray through them using C or D as an endpoint.
a vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7^2- 462 x 84,797 . What is the minimum unit cost? Do not round your answer.
Answer:
8,567
Step-by-step explanation:
Given the cost function expressed as C(x)=0.7x^2- 462 x + 84,797
To get the minimum vaklue of the function, we need to get the value of x first.
At minimum value, x = -b/2a
From the equation, a = 0.7 and b = -462
x = -(-462)/2(0.7)
x = 462/1.4
x = 330
To get the minimum cost function, we will substitute x = 330 into the function C(x)
C(x)=0.7x^2- 462 x + 84,797
C(330)=0.7(330)^2- 462 (330)+ 84,797
C(330)= 76230- 152460+ 84,797
C(330) = 8,567
Hence the minimum unit cost is 8,567
The minimum unit cost for producing each car is $8567
Cost is the amount of money spent in producing a particular number of items.
Let C(x) represent the cost in dollar to produce x number of cars. Given that:
C(x)=0.7x² - 462x + 84797
The minimum cost is at C'(x) = 0. Hence:
C'(x) = 1.4x - 462
1.4x = 462
x = 330
The minimum cost is when 330 cars are produced, hence:
C(330) = 0.7(330)² - 462(330) + 84797 = 8567
The minimum unit cost is $8567
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Can you please help me with this?
Answer:
3/4 and 6/5
Hope this helps!
7 - 5x - 5 - 7x = 5 what is the value of x
Answer:
x is equal to negative 1/4
Step-by-step explanation:
Answer:
Negative Quarter.
Step-by-step explanation:
Simply send the letters to one side (preferrably the left) and numbers on the other side... Remember to swutch signs when you pelting the number or letter across the equal sign. i.e negative will become positive and vice versa. lets go...
7 - 5x - 5 - 7x = 5
-5x - 7x = 5 + 5 - 7
-12x = 3
x = -3/12
x = -1/4
Which of the lines on the graph below cannot indicate a function
Answer:
Option C: C and D
Step-by-step explanation:
A function, as a rule, can't have multiple output for an input. Also try the vertical line test. If there is more than one point in an imaginary vertical line, then it is not a function.
If using the method of completing the square to solve the quadratic equation
x2 + 10x + 16 = 0, which number would have to be added to "complete
the square"?
Answer:
The number would have to be added is 9
Step-by-step explanation:
To find the form of the completing square of the quadratic function:
Divide the coefficient of x by 2Square the quotientSubtract the numerical term from the square of the quotientLet us do these steps with our question
∵ x² + 10x + 16 = 0
→ Divide the coefficient of x by 2
∵ The coefficient of x is 10
∴ 10 ÷ 2 = 5
→ Square the 5
∵ (5)² = 25
→ Subtract the numerical term from 25
∵ The numerical term = 16
∵ 25 - 16 = 9
∴ We must add 9 to 16 to get 25
→ (x² + 10x + 16 + 9) - 9 = 0
→ (x² + 10x + 25) = 9
→ (x + 5)² = 9
The number would have to be added is 9
What is the answer :((
Answer:
x + 11
Step-by-step explanation:
out you're going from -3 to 8 and that is 11 jumps so if x is -3 then it would be x + 11
A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?
Answer:
$0.49 hope this helps you out
A company's gross profit rate measures how well the company maximizes its profits in terms of cost and sales.
The gross profit rate,P , is calculated using the formula P= s-c/s, where s is the net sales and c is the cost of goods sold.
Which of the following equations correctly rearranges the formula to SOLVE FOR C, the cost of goods sold?
A)c=P
B)c=-P
C)c=Ps-s
D)c=-Ps+s
Answer:
D
Step-by-step explanation:
P = s-c/s
~Multiply s to both sides
Ps = -c + s
~Subtract s to both sides
Ps - s = -c
~Divide -1 to both sides
-ps + s = c
Best of Luck!
Answer:
C=-PS+S
Step-by-step explanation:
Make sure there capital letters :)
can someone please help me I will give you brianliest and 100 points
Answer:
20
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
12 ?
----- = -------
3 5
Using cross product
12*5 = 3?
60 = 3?
Divide each side by 3
60/3 = 3?/3
20 = ?
The unknown side is 20
Answer:
20
Step-by-step explanation:
Since the triangles are similar, all the side lengths can be multiplied by a scale factor,
12/3 = 4, so the scale factor is 4, which
5 x 4 = 20, so the missing side length is 20
is 12x - 10x^5 - 7 + 3x^4 euivalent to -10x^5 + 3x^4 +12x - 7
Answer:
Yes
Step-by-step explanation:
Step 1: Define
12x - 10x⁵ - 7 + 3x⁴
-10x⁵ + 3x⁴ + 12x - 7
Step 2: Rearrange both equations into standard form
-10x⁵ + 3x⁴ + 12x - 7
-10x⁵ + 3x⁴ + 12x - 7
We see both are equivalent.
What is 3 act modeling?
controling identifying the problem to be solved, determine the relevant information, and choose how they solve the problem. When students are given the opportunity to make choices in their classwork, they are more invested.
a. Yes; domain: all real numbers; range: y = 0
b. Yes; domain: all real numbers; range: y20
No; domain: all whole numbers; range: y so
d. Yes; domain: all real numbers; range: y > 0
C.
The function is also defined at x = 0 thus the domain is all real numbers and the range is y ≥ 0 thus option (b) is correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
As per the given graph.
The graph is the function of y = |x|
At x = 0 , y = 0 (defined)
And the function goes x = -∞ to ∞
Hence "The function is also defined at x = 0 thus the domain is all real numbers and the range is y ≥ 0".
For more details about the range and domain of the function,
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What is the slope of a line parallel to the line whose equation is 4 x − 2 y = − 12 4x−2y=−12.
Answer:
y=2x+3
Step-by-step explanation:
_2y=-4x-12 and than divide dy -2 so it will be Y=2x+3.
Solve for u.
2 (4u-9) = 14
Simplify your answer as much as possible
Answer:
u = 4
Step-by-step explanation:
1. Distribute the 2 into the parenthesis.
2(4u-9) = 14
x2 x2
8u - 18 = 14
2. Try to get your variable on one side.
8u - 18 = 14
+18 +18
8u = 32
3. Last is to divide so your variable is on the left side of the equation.
8u = 32
÷8. ÷8
u = 4
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Write the equation of the following line in slope-intercept form.
A) y = 2
B) x = -2
C) y = -2
D) x = 2
Answer:
A
Step-by-step explanation:
Answer:
A) y = 2
Step-by-step explanation:
that's definitely it
You want to fence off a rectangular area of yard using the back side of your house as one of the sides. You have a total of 150 yards of fence. If the area of the fenced in portion comes to 2,812 square yards, what are the dimensions of the fenced-in area?
Answer:
L = 37 yards and B = 76 yards
L = 38 yards and B = 76 yards
Step-by-step explanation:
Given:
Total length of the fence(perimeter) = 150 yards
One side is fenced using the back side of the house
So, we have
Perimeter of the fence = 2L + W
150 = 2L + W (1)
The fenced-in portion = 2,812 square yards
Area of a rectangle = L × W
2812 = L × W (2)
From (1)
150 = 2L + W
W = 150 - 2L
Substitute W = 150 - 2L into (2)
2,812 = L × W (2)
2,812 = L × (150 - 2L)
2,812 = 150L - 2L²
-2L² + 150L - 2812 = 0
2L² - 150L + 2812 = 0
Divide through by 2
L² - 75L + 1406 = 0
Solve the quadratic equation using factorization method
Find the factors
L² - 37L - 38L + 1406 = 0
L ( L - 37 ) - 38 ( L - 37 ) = 0
( L - 37 ) ( L -38 ) = 0
L - 37 = 0 or L - 38 = 0
L = 37 yards or L = 38 yards
If L = 37 yards
B = 150 - 2L
B = 150 - (2 × 37)
= 150 - 74
= 76 yards
If L = 38 yards
B = 150 - 2L
B = 150 - (2 × 38)
= 150 - 76
= 74 yards
Therefore,
The dimensions of the fence can either be
L = 37 yards and B = 76 yards
L = 38 yards and B = 76 yards
do #9 and #10 pls (will give brainliest if correct!)
Answer:
9) 25 is the hypotenuse so it should be replaced with c, not a or b.
10) 6.5 feet
Step-by-step explanation:
9) The pythagorean theorem is [tex]a^2+b^2=c^2[/tex].
The pythagorean theorem says that c MUST always be the hypotenuse length. The hypotenuse side can be identified because it is always on the opposite side of the right angle and the diagonal one (and of course the longest side).
a and b can be any other side except for c. What they did wrong was that they put the hypotenuse side as b.
Now to correct the error
[tex]a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\49+b^2-49=625-49\\b^2=576\\[/tex]
[tex]\sqrt{b^2}=\sqrt{576} \\b=24[/tex]
The missing side length is 24.
10) The question is asking for the c length (which is the hypotenuse). Use pythagorean theorem to solve for c.
[tex]a^2+b^2=c^2\\5.6^2+3.3^2=c^2\\42.25=c^2\\\sqrt{42.25}=\sqrt{c^2}\\6.5=c[/tex]
The length of the wire is 6.5 feet.
A digital video recorder (DVR) records television shows on an internal hard drive. To use a DVR, you need a subscription with a DVR service company. Two companies advertise their charges for a DVR machine and subscription service.
For what number of months will consumer pay less for the machine and subscription at easy electronics than at cable solutions
The consumer will pay less for the machine and a subscription at easy electronics then I have cable solutions if the customer uses .......... months or more
Will give brainliest
Answer: 23.333
Step-by-step explanation:
Look at the photo for explanation and answer
The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3),
find the value of x.
Find the equation and solution
Answer:
4(4x-3)=63
X=4.6875
Step-by-step explanation:
I'll give brainliest and 50 points
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
Answer:
Fractional Expression for how much each person pays = (64.04/4)
Each person pays $16.01.
Step-by-step explanation:
Complete Question
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
The total of the bill is $64.04 and there are 4 people splitting the bill.
Solution
Total amount to be shared equally by 4 persons = $64.04
Fractional Expression for how much each person pays = (64.04/4)
Long division method to do this division.
16.01
4 | 64.04
4
24
24
00
0
04
4
0
Each person pays $16.01.
Hope this Helps!!!
What is the measure of x in degrees ?
Answer:
117 degrees
Step-by-step explanation:
-3 = 14y + 11 this question
Answer: y = - 14
Step-by-step explanation:
If you subtract 11 from each side you get y by itself and -3 -11 = -14
Answer:
-1=y
Explanation:
Subtract
1
1
11
11
from both sides of the equation
−
3
=
1
4
+
1
1
−
3
=
14
y
+
11
−3=14y+11
−
3
−
1
1
=
1
4
+
1
1
−
1
1
−
3
−
11
=
14
y
+
11
−
11
−3−11=14y+11−11
2
Simplify
Subtract the numbers
Subtract the numbers
again
−
1
4
=
1
4
−
14
=
14
y
−14=14y
3
Divide both sides of the equation by the same term
−
1
4
=
1
4
−
14
=
14
y
−14=14y
−
1
4
1
4
=
1
4
1
4
−
14
14
=
14
y
14
14−14=1414y
4
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Doug starts his day at the video game arcade with $25.00 Each game costs 0.75 Which function models the sequence showing the money Doug haslen after each video game that he plays?
O A (g) = 259 -0.75, where is the number of games played
O(9) = -0.75(9 - 1) 25 where g is the number of games played
O c f(a) =-0.759 + 25, where is the number of games played
Daysi
Of(9) = 25(9 - 1) - 0.75, where is the number of games played
Answer:
i dont understand your answer choices but here is the expression with representations:
m=25-0.75p, where p is the number of games played and m is the amount of money he has left
can i get a thanks and brainliest please?
Find the 18th term of the sequence
a19 = -7, d= - 17
Answer:
a₁₈ = 10Step-by-step explanation:
aₙ₊₁ = aₙ + d
a₁₉ = a₁₈ + d
- 7 = a₁₈ + (-17)
a₁₈ = - 7 +17
a₁₈ = 10
what is the range of the function?
Answer:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
How many killograms does it takle to fill up one gummy bear
to answer this question u have to tell me the size of the bear or its not solvabal
Answer:
105.7
Step-by-step explanation:
This table shows the running time, in hours, for each of the three widget producing machines over the course of three months. Find the number of widgets produced per hour by each machine. Let x1, x2, and x3 represent widgets produced per hour for each machine.
Answer:
100 x1 + 130 x2 + 16 x3 = 4758
120 x1 + 180 x2 + 28 x3 = 6504
160 x1 + 190 x2 + 10 x3 = 6720
pt 2
x1 = 15
x2 = 21
x3 = 33
Step-by-step explanation:
From the linear system , number of widgets produced per hour for each machine are x1 = 0.015 units, x2 = 0.021units, and x3 = 0.033units.
What is linear system?" Linear system is defined as the model of the given system which represents set of two or more linear equations."
According to the question,
Linear system formed as per the data given,
[tex]100x_{1} +130x_{2} +16x_{3} = 4.758[/tex] ____(1)
[tex]120x_{1} +180x_{2} +28x_{3}= 6.504[/tex] ____(2)
[tex]160x_{1} +190x_{2} +10x_{3} = 6.720[/tex] ____(3)
Multiply linear equation (1) by 7 and ( 2) by 4 we get,
[tex]700x_{1} +910x_{2} +112x_{3} = 33.306\\480x_{1} +720x_{2} +112x_{3} = 26.016[/tex]
Subtract above linear equation to eliminate [tex]x_{3}[/tex] we get,
[tex]220x_{1} +190x_{2} = 7.29[/tex] ____(4)
Multiply linear equation(2) by 5 and ( 3) by 14 we get,
[tex]600x_{1} +900x_{2} +140x_{3} = 32.52\\2240x_{1} +2660x_{2} +140x_{3} =94.08[/tex]
Subtract above linear equation to eliminate [tex]x_{3}[/tex] we get,
[tex]1640x_{1} +1760x_{2} = 61.56\\\\4( 410x_{1} +440x_{2}) = 61.56[/tex]
[tex]410x_{1} +440x_{2}= 15.39[/tex] ____(5)
Multiply linear equation (4) by 88 and ( 5) by 38 we get,
[tex]19360x_{1} +16720x_{2} = 641.52\\\\15580x_{1} +16720x_{2} = 584.82[/tex]
Subtract above linear equation to eliminate [tex]x_{2}[/tex] we get,
[tex]3780x_{1} =56.7[/tex]
⇒[tex]x_{1} =0.015[/tex]
Substitute the value of [tex]x_{1}[/tex] in (5) we get,
[tex]410(0.015) +440x_{2}= 15.39[/tex]
⇒[tex]x_{2} =0.021[/tex]
Substitute the value of [tex]x_{1} and x_{2}[/tex] in (1) we get,
[tex]100(0.015) +130(0.021) +16x_{3} = 4.758[/tex]
⇒[tex]x_{3} = 0.033[/tex]
Hence, number of widgets produced per hour for each machine are x1 = 0.015 units, x2 = 0.021units, and x3 = 0.033units.
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Can someone please help me with I appreciate it thank you
Answer:
c = 7.
Step-by-step explanation:
The slope = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the 2 points.
So here we have the equation
- 3 = (3 - (-3)) /(5 - c)
-3 = 6 / (5 - c) Cross multiply:
-3(5 - c) = 6
-15 + 3c = 6
3c = 6 + 15
3c = 21
c = 7.