Answer:
y = x + 16
Step-by-step explanation:
1. Find slope: 1
2. Find y intercept by plugging in 2 points using slope intercept formula: 16
3. Plug in the information that you have into your formula: y = x + 16
Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
We will solve these through graphical way .
y=-0.5x+2Find some coordinates
(0,2)(1,1.5)(-1,2.5)And
y=x³-5x²+3Find some coordinates
(0,3)(1,-1)(-1,-3)Graph both
The intersection points are
(0.532,1.734)(-0.387,2.193)(4.855,-0.427)What is the perimeter in centimetres of a regular octagon with sides measuring 17 mm?
Answer:
1.36 centimeters
Step-by-step explanation:
Given,
side length ( a ) = 17 mm
To find : Perimeter of regular octagon ( in cm )
Octagon has 8 sides.
Perimeter of regular octagon
= 8 x a
= 8 x 17
= 136 mm
1 mm = 0.1 cm
136 mm
= 136 x 0.1
= 1.36 centimeters ( cm )
Hence,
Perimeter of regular octagon is 1.36 centimeters.
Answer:
13.6 cm
Step-by-step explanation:
17 mm = 1.7 cm
Perimeter of octagon
= 8 x 1.7 cm
= 13.6 cm
If x = 12, which equation is true?
A-27 + 2x = 51
B5(x + 7) = 45
C 3(25) - x = 39
D 3(25 - x) = 39
Answer:
D
Step-by-step explanation:
3(25-(12))=39
3(13)=39
39=39
Last month, when Jerry received his bank statement, he found that the balance in the statement did not match the balance in the register. Examine Jerry's check register and bank statement and evaluate his problem. Trans typ./ Check no. Date Description of Transaction Payment/ Debit (-) Deposit/ Credit (+) Balance 900 00 241 9/4 Miller's Food Market 67.25 67 25 Groceries 832 75 242 9/18 Frank's Auto Parts 36.80 36 80 Oil and Filter 795 95 243 9/28 Mike's Barber Shop 15.00 15 00 Haircut 780 95 Deposit 9/30 Paycheck 650.45 650 45 1,431 40 Checking Account Statement Account Number: 1234-1212 Checks date check no. amount 9/5 241 $67.25 9/20 242 $36.80 9/30 243 $15.00 Other Activity date transaction amount 9/30 Deposit $650.45 9/30 Fees $15.00 Balances Opening Balance $900.00 Closing Balance $1,416.40 A. His check to the barber shop was not cashed before the end of the month. B. He added up his transactions incorrectly. C. He mislabeled a payment as a deposit. D. He had bank fees that were not in his check register
He had bank fees $15 that were not in his check register.
The correct option is (B)
What is Balancing Statement?Balancing statement is a final statement of your income tax liability for a tax year. It is issued by Revenue when your income tax liability has been reviewed and it shows: your total income from all sources. tax reliefs and credits claimed. amounts of income tax
Balance in check register be,
=Initial Balance - ( Expense on Food Market + Frank's auto parts + Barber shop ) + Deposit
Initial Balance = 900
Expense on Food Market= 67.25
Frank's auto parts =36.80
Barber shop =15
Deposit =650.45
So,
Balance = 900 - (67.25 + 36.80 + 15) + 650.45
= 1550.45-119.05
= $1431.40
Balance on Account statement be,
= Opening balance - ( checks amount on different dates ) + deposit - fees
= 900 - (67.25 + 36.80 + 15) + 650.45 - 15
= 1550.45-134.05
= $1416.40
As, the balances in bank statement and in checking register are not matched. This is because the fees $15 paid on 9/30 is not calculated by Jerry in his check register
thus,
= $1431.40 - $15.00 (Fees)
= $1416.40
Now the balance on account and checking statements matched.
So, he had bank fees were not in Check Register.
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tico Wartboot
bridaci
3.
A farmer picks 60 pounds of strawberries. He sends 25% of the strawberries to
a local market. How many pounds of strawberries does the farmer send to the
local market?
Explain how to use a graph of the function f(x) to
find f(3).
To find the value of f(3) we need to follow the below steps :
Step 1 : First plot the graph of f(x)
Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)
Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .
Step 4 : Now there exists two cases :
If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x
If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).
If this is wrong than I guess I wasn't smart enough :)
HEEEEEEELLLLLLLLLLLLPPPPPPPPPPPPP
One Opposite side pair of a trapezoid has equal length
KL||JMA is true
<J is supplement to <K
B is falseD is trueJK and LM are not paralle
C is false<J is congruent to <M may be true
Option E is falseMay not be
F is falseAnswer:
A. [tex]\sf \overline{KL}[/tex] is parallel to [tex]\sf \overline{JM}[/tex]
D. ∠J is supplementary to ∠K
Step-by-step explanation:
Properties of a trapezoid:
One pair of parallel sides (the "bases" - top and bottom sides)Interior angles sum to 360°The two angles that are on the same leg (left and right sides) sum to 180°Although the sides of the shape do not have any arrows to indicate that any are parallel, we know that a trapezoid has one pair of parallel sides, so:
[tex]\sf \overline{KL}[/tex] is parallel to [tex]\sf \overline{JM}[/tex]When two angles sum to 180° they are called supplementary angles.
As the two angles that are on the same leg sum to 180° then:
∠J is supplementary to ∠KPls help easy math will give brainlest
Answer:
See below ~
Step-by-step explanation:
Problem 9
h(1/8) = 3(1/8) + 1/4h(1/8) = 3/8 + 2/8h(1/8) = 5/8Problem 10
Q(k) = k - 3 / 2-4 = k - 3 / 2-8 = k - 3k = -8 + 3k = -5Answer: h'(1)=6/5
-1.5
Step-by-step explanation:
please answer this question
Answer:
[tex]\displaystyle \lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} = \boxed{ \frac{34}{23} }[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Multiplied Constant]:
[tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]
Limit Property [Multiplication]:
[tex]\displaystyle \lim_{x \to c} f(x)g(x) = \lim_{x \to c} f(x) \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
The problem is too big to fit all work. I will assume that you know how to do basic algebra and calculus.
Step 1: Define
Identify given limit.
[tex]\displaystyle \lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}}[/tex]
Step 2: Find Limit (Algebriaclly)
Rationalize the function and apply basic limit techniques listed under "Calculus":
[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = \lim_{x \to 2} - \frac{17(x - 2)}{\big( \sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5} \big) \big( \sqrt{x + 7} + 3 \sqrt{2x - 3} \big)} \\& = -17 \lim_{x \to 2} \frac{1}{\sqrt{x + 7} + 3 \sqrt{2x - 3}} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}}\end{aligned}[/tex]
[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = - \frac{17}{6} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} \\\end{aligned}[/tex]
Let's now focus on just the rationalization of the function within the limit:
[tex]\displaystyle\begin{aligned}\frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = \frac{(x - 2) \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] }{\Big( \sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5} \Big) \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] } \\& = - \frac{1}{23} \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] \\\end{aligned}[/tex]
Substitute in the simplified function and continue:
[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = - \frac{17}{6} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} \\& = \frac{17}{138} \lim_{x \to 2} \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] \\& = \frac{17}{138} (12) \\& = \boxed{ \frac{34}{23} } \\\end{aligned}[/tex]
∴ we have evaluated the following limit without L' Hopital's Rule.
Step 3: Geometrical Interpretation
We can also graph the given function and approximate the limit. Please refer to the attachment for visualization.
___
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___
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Answer:
34/23
Step-by-step explanation:
The limit can be evaluated by simplifying the expression in such a way as to cancel the offending zeros.
__
Define the following (to help keep the algebra cleaner):
[tex]a=\sqrt{x+7},\ b=3\sqrt{2x-3}\\\\c=\sqrt[3]{x+6}.\ d=2\sqrt[3]{3x-5}[/tex]
Then the desired limit is ...
[tex]\displaystyle \lim_{x\to 2}\dfrac{a-b}{c-d}[/tex]
We observe that ...
[tex](a-b)(a+b)=\underline{a^2-b^2}=(x+7)-(3^2(2x-3))=-17x+34=\underline{-17(x-2)}\\\\(c-d)(c^2+cd+d^2)=\underline{c^3-d^3}=(x+6)-(2^3(3x-5))=-23x+46=\underline{-23(x-2)}\\\\\displaystyle\lim_{x\to2}{(a+b)}=3+3=6\\\\\lim_{x\to2}{(c^2+cd+d^2)}=4+4+4=12[/tex]
In the following expression, the factors (x-2) cancel, so, our limit is ...
[tex]\displaystyle\lim_{x\to2}\dfrac{a-b}{c-d}=\lim_{x\to2}\dfrac{(a^2-b^2)(c^2+cd+d^2)}{(c^3-d^3)(a+b)}=\lim_{x\to2}\dfrac{-17(x-2)(12)}{-23(x-2)(6)}=\boxed{\dfrac{34}{23}}[/tex]
Solve the triangle.
С
a
b
a =5, b=3, c=4
А
B
C
A-°
(Type your answer in degrees. Round to one decimal place as needed.)
Answer:
A = 90°
B = 37°
C = 53°
Step-by-step explanation:
Given three sides of a triangle, the Law of Cosines can be used to find the angles.
__
For angle A (the largest), we can use ...
a² = b² +c² -2bc·cos(A)
Solving for A, we get ...
A = arccos((b² +c² -a²)/(2bc)) = arccos((3² +4² -5²)/(2·3·4)) = arccos(0)
A = 90°
We can use a similar equation for angle B:
B = arccos((a² +c² -b²)/(2ac)) = arccos((25 +16 -9)/(2·5.4)) = arccos(4/5)
B ≈ 37°
The sum of angles is 180°, so ...
C = 180° -90° -37°
C = 53°
please help me in this question please
Answer:
2x=x+30 [vertically opposite angle]
or,2x-x=30
:.x=30
Answer:
2x = x+30
2x - x = 30
X = 30
And goodluck
Write an equation in slope-intercept form for the line with slope 5 and y-intercept-3.
Answer: y = 5x-3
Step-by-step explanation: Using y = mx+b, where m is the slope, and b is the y intercept, you just plug in 5 and -3.
Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2. To meet her quota, she needs to sell over 100 light bulbs and make at least $350. If the solution region is the amount of light bulbs Julia needs to sell to meet her quota, which graph's shaded area represents the solution region? A.Y B.W C.Z D.
The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the incandescent light bulbs and y represent the fluorescent light bulbs. Therefore:
x + y > 100 (1)
Also:
2x + 5y ≥ 350 (2)
The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.
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TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.
walking tour is $15
boat tour is $18
Which answers describe the shape below? Check all that apply O A. Trapezoid O B. Square O C. Rectangle O D. Quadrilateral O E. Rhombus O F. Parallelogram SUS
Lastttt question plssssssssssssssssssssssss
Answer:
8y
Step-by-step explanation:
The temperature in Juneau, Alaska is -10°F. Select the city that has the opposite temperature as Juneau. A. Portland, Maine B. Austin, Texas C. Plattsburgh, New York D. Lincoln, Nebraska
As no table mentioned it can't be told which city accurately but you can find it by below precedence.
Alaska's Temperature is -10°FOpposite of it means additive inverse of itSo that's 10°FFind the city having temperature 10°F , that's the answer
Answer:
a
Step-by-step explanation:
24. Which is an apparent root of the equation
graphed below?
[tex]\huge\underline\mathsf \colorbox{cyan}{-1/2}[/tex]
Step-by-step explanation:
Roots of a plotted quadratic equation f(x) can easily be known by knowing where it cuts the x- axis. So this parabola cuts x axis at (-1/2,0) and at (2,0).Boom there you have it.What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 3 units, and c = 6 units?
A. 90 cubic units
B. 60 cubic units
C. 45 cubic units
D. 180 cubic units
Pleaseee help and explain!!!!!
Answer:
45 cubic units
Step-by-step explanation:
Vtotal = 1/2 (2.5*3) * 6 *2
where
2.5 is the base
3 is the height
6 is the length
2 is the number of prisms
Answer:
The correct answer is 90 cubic units which is Option A.
Hope this helps you!!
Please Mark me Brainleast friend!!
can someone really help me with this and more questions like this
Answer: I think its D
Step-by-step explanation:
Answer:
Maximum value = 7, minimum value = 8
Step-by-step explanation:
Your answer is right !
Convert -2 2/13 to a decimal
-2.15
-2.154 should be your answer!! have a blessed day x
15 + 21 = 3 (4 + 8)
What is Aida’s error?
Aida used 3 as the factor, which is not common to 15 and 21.
Aida did not correctly divide by the common factor to get (4 + 8).
Aida did not apply the correct operations to the expressions.
Aida wrote two expressions that are not equivalent.
Answer:
Aida did not correctly divide by the common factor to get (4 + 8).
Answer:
B). Aida did not correctly divide by the common factor to get (4 + 8).
Step-by-step explanation:
Aida applied the distributive property to write the equivalent expressions given as
15 + 21 = 3(4 + 8)
But Aida made a mistake.
Since to get the common factor of 15 and 21 she did not divide these numbers by 3 correctly.
In simple words by division of 3 in 15 and 21, we get 5 and 7 instead of 5 and 8.
Therefore, Aida did not correctly divide by the common factor to get (4 + 8). ⇒ option B is the correct answer.
help me PLEASE PLEASE VERY urgent
Answer:
28
Step-by-step explanation:
Since n = 3, you would times n (3) 4 times then add that to 3, then divide that by three, and there's your answer!
help please help please help please
The relationship between the variable x and y will be linear. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The graph is given below.
At x = 2, the value of y will be 6.
At x = 3, the value of y will be 4.
At x = 4, the value of y will be 2.
Then the relationship between the variable x and y will be linear.
Then the equation of the line will be
y = -2x + 10
Thus, the correct option is A.
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Find the perimeter and area of the figure.
What is the slope of the line that passes through the points 3, -2 and 9, -2?
Answer:
0
Step-by-step explanation:
slope = y2-y1/x2-x1
X1= 3 y1= -2
X2 = 9 y2= -2
slope= -2--2/9-3
slope= -2+2/6
slope= 0/6
slope= 0
A discrete sample space is one in which outcomes are counted.
True
False
Roxy’s new employer pays employees bimonthly, which is twice a month. She’ll earn $30 per hour with the new company. She plans to continue making extra money by dog sitting on weekends. Roxy works 40 hours per week for 52 weeks during the year. Each time she dog sits on the weekend, she earns $75. Use this information about Roxy to complete the statements. Type the correct answer in each box. Use numerals instead of words. Roxy’s annual income from her new employer before taxes will be $ . Her bimonthly pay before taxes will be $ . To reach Roxy’s yearly pretax income goal of $63,300, she will need to dog sit at least times.
Answer:
12 times
Step-by-step explanation:
first, find out how much she makes weekly.
40 (hours per week she works * 30 ($ she will earn per hour)
40 * 30 = 1200 per week
for 52 weeks so multiply that by her weekly pay
multiply her weekly pay (1200) by the weeks she works annually (52)
52 * 1200 = 62,400
she makes just $62,400 (annually, before taxes) with her new employer
subtract how much more money she needs
62,400 - 63,300 = -900
she needs 900 dollars
divide by the money she makes on weekends (for dog sitting)
900/75 = 12
she will need to dog sit at least 12 times to make approx. $63,300 annually, before taxes.
hope this helps:)
Can Someone Please Help Me With This Problem.
Answer:
Option B {1,3,4,5}
Step-by-step explanation:
The domain of the function is nothing but the input of the given function
Therefore the domain of given function is
{1,3,4,5} Option B
1 1 x2 - 7x+10
Solve +
by rewriting the equation as a proportion.
2 2x
4x
Which proportion is equivalent to the original
equation?
2x
4x
Ox+2-7-7x+10
x-1_r? - 7x+10
x - 1
x x +1-7
-7x+10
O
2x
4x
o
2x
4x
DONE
Answer:
last one
Step-by-step explanation:
after solving that, i got the same answer from the orginail one:
x=1,x=8
The proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]
What is proportion?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Given is an equation, 1/2 + 1/2x = x²-7x+10 / 4x
We need to determine the proportion equivalent to this,
So, taking the LHS,
1/2 + 1/2x
= 2+2x / 4x
= 2(x+1) / 4x
= x+1 / 2x
Hence, the proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]
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