Answer:
y = 0.10 x + 130. y = 0.15 x + 108
Step-by-step explanation:
0.10 and 0.15 are the slope in the equation y = mx + b since it requires an input (number of miles) to spit out an output (number of miles*0.10 = price) and the x intercept is 130 and 108 creating the equation y = 0.10 x + 130. y = 0.15 x + 108.
Barry’s Burger Barn opened 25 franchises in its first year of operation. The second year, they opened 30 additional franchises. They opened 35 more in the third year and 40 more in the fourth year. If this pattern holds for all future years, perform the following: a. Determine how many franchises Barry’s will open each year in year 5, year 14, and year 26. Explain how you did this. b. Determine how many total franchises Barry’s will have in operation in year 10, year 22, and in year 50. Explain how you did this. c. How did you determine your answers? (Relate the relevant information in the story problem above to your calculations.)
The number of franchises that Barry will open each year in year 5, year 14, and year 26 will be 45, 90, and 150.
How to compute the value?a = 25
d = 5
The fifth year will be:
= a + (n - 1)d
= 25 + (5 - 1)5
= 25 + (4 × 5)
= 45
The 14th year will be:
= a + 13d
= 25 + 13(5)
= 90
The 26th will be:
= a + 25d
= 25 + 25(5)
= 150
The total franchises Barry’s will have in operation in year 10, year 22, and in year 50 will be:
Year 10 = n/2[2a + (n - 1)d]
= 10/2[5(25) + 45]
= 475
Year 22 = 25[50 + 245]
= 1705
Year 50 = 25(50 + 245)
= 7375
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Sienna is solving the quadratic equation by completing the square.
3x2 + 9x – 4 = 0
3x2 + 9x = 4
A(x2 + 3x) = 4
Answer:
See below
Step-by-step explanation:
3 (x^2 + 3x) = 4
3 ( x + 3/2)^2 = 4 + 27/4
Me no like this meth and me is not smart
halp
Instructions: Simplify the algebraic expression.
−12(32x−10y)
Answer:
-384x - 120y
Step-by-step explanation:
General Concepts and Formulas:
Brackets
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Steps:
1) Distribute
[tex]-12(32x-10y)[/tex]
We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.
So first, multiple -12 by 32 and add the variable 'x' when getting the product:
-12(-384x - 10y)
Now that we have one part, let's solve the other part.
We now must multiple -12 by -10, which gets us 120, now we must plug in:
(-384x - 120y)
(Remove parenthesis)
⇒ -384x - 120y
Use the commutative property to simplify the expression 4/3 + 3/4 + 2/3
The simplified expression using the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
Meaning of commutative propertycommutative property can be defined as a mathematics attribute that is possessed by a mathematical equation, that enables the objects undergoing addition or multiplication to change position.
In conclusion, The simplified expression using the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
Analysis4/3 + 3/4 + 2/3 = ( [tex]\frac{4}{3}[/tex] + [tex]\frac{2}{3}[/tex] ) + [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
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Which four inequalities can be used to find the solution to this absolute value inequality?
The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the inequality:
3 ≤ |x + 2| ≤ 6
Hence:
x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)
This gives:
x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
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the map is drawn to the scale of 1:4000 and the distance in between two places on the map is 4 cm what is the actual distance between those two places
Answer:
4 × 4000 = 16000cm or 160 meters
Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.
The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line m = 4
The slope of the line which is perpendicular to the above line:
M = -1/4 = -0.25
The graph second has a slope of -0.25
[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]
y - 2 = -0.25x - 1
y = -0.25x + 1
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
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prove that (1- cos(pi)/(8))(1-cos(3 pi)/(8))(1-cos(5 pi)/(8))(1=cos(7 pi)/(8))=(1)/(8)
Step-by-step explanation:
1&$)&(5$6$5*-_+_7&'+&-^€=%
helppppp pleaseee tap or click picture if needed
Answer:
A
Step-by-step explanation:
He saves allowance for 5 months 5 months * $6 = 30 dollars
30 ÷ 3 would be the # of rides he can go on
Mathmatical proofs. please help
(15-10)-(14+12+ (8+5)
Answer:
-34
Step-by-step explanation:
Remove all brackets by multiplying the existing math signs then take it from there
(15-10)-(14+12+ (8+5)
5 - (14 + 12 + (8 + 5)
5 - (14 + 12 + 13)
5 - 39
-34
factorise x - 2xz - 2xy + 4y². Show all the steps.
Answer:
1(x - 2xz - 2xy + 4y²)
Step-by-step explanation:
I notice that no term all of them have. which means itbwill be factorised via 1.
1(x - 2xz - 2xy + 4y²)
What is the net percent gained or lost on a stock with goes up 30% on monday and then drops 30% on tuesday? use a negative sign to indicate percentage lost.
Answer:
0 is the answer to the question
Someone or anyone pls help me, I just want the answers pls it’s so urgent
Step-by-step explanation:
The first question is pretty straight forward, all you have to do is get a ruler and measure how long XY is. Then draw another line that has the same exact length next to it and label it AB, by drawing A and B at the end points like how they did in the line XY
For the second question measure the length of FG and then measure the length of YZ and add the two lengths and then draw a line with that length and then label it CD by labeling the end points C and D.
For the last question measure the length of MN and then divide that length in 2 and then label that midpoint O. for example if I had the same problem and I put my ruler on the line and saw the length was 10 inches, I would go to where it's 5 inches and label the midpoint on the line. You also want to draw a perpendicular line through that midpoint O.
Write the rate in lowest terms a printer can print 22 pages in 55 seconds
Answer:
2/5
Step-by-step explanation:
22/11=2
55/11=5
Chris wants to create a rectangular rose garden in a yard. he has 40 meters of fencing to go around the garden and he has to use it all. pick two ways he could construct the garden
Answer:
4x10 8x5
Step-by-step explanation:
Find the value of x to the nearest tenth.
Answer: 44
What is [tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] ?
[tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] is an abbreviation for how to making finding the angle measurements of right triangles easier!
[tex]S\frac{O}{H}[/tex] is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.
C is cosine and T is tangentA is adjacent side lengthAs stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.
Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.
The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.
Write this equation down and use your calculator to solve for x:
*make sure your calculator is in degrees*
tan (54°) = [tex]\frac{x}{32}[/tex]
32 × tan (54°) = x
44.04 ≈ 44 =x
the number of people with one type of flu doubles every day for several days what type of function represents this pattern
Answer:
The answer will be Exponential growth.
Please mark me as the brainliest.
Answer:
exponential growth
Step-by-step explanation:
If 343 superscript x baseline = 49 superscript 4 minus x, what is the value of x?
The value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.
Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.
In the question, we are given that 343ˣ = 49⁴ ⁻ ˣ, and are asked to find the value of x.
We try to solve the exponential equation, using the laws of exponents in the following way:
343ˣ = 49⁴ ⁻ ˣ,
or, (7³)ˣ = (7²)⁽⁴ - ˣ⁾ {Since, 343 = 7³ and 49 = 7²}.
or, 7³ˣ = 7⁸ ⁻ ²ˣ {Using the law: [tex](x^{a})^{b} = x^{ab}[/tex]},
or, 3x = 8 - 2x {Using the law: [tex]x^a = x^b \Rightarrow a = b[/tex], when x ≠ 0}.
or, 3x + 2x = 8 - 2x + 2x {Adding 2x to both sides of the equation},
or, 5x = 8 {Simplifying}
or, 5x/5 = 8/5 {Dividing both sides by 5},
or, x = 8/5 or 1.6 {Simplifying}
Therefore, the value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.
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The length of a rectangle plus its width is 25
cm. The area is 150 square cm. What are the
length and width of the rectangle?
Separate the answers with a comma.
Which points are solutions to the linear inequality y < 0.5x 2? select three options. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2)
The points which are solutions to the linear inequality are; (-3, -2), (-1, -2) and (1, -2)
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
For (–3, –2)-2 < 0.5(-3) + 2
-2 < 0.5 (satisfied)
For (–2, 1)1 < 0.5(-2) + 2
1 < 1 (Not satisfied)
For (–1, –2)-2 < 0.5(-1) + 2
-2 < 1.5 (Satisfied)
For (–1, 2)2 < 0.5(-1) + 2
2 < 1.5 (Not satisfied)
For (1, –2)-2 < 0.5(1) + 2
-2 < 1.5 (Satisfied)
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Need to know asap thanks
Answer:
[tex]\large \boxed{\sf 16}[/tex]
Explanation:
[tex]\Rightarrow \sf \sqrt{121} + \sqrt[3]{125}[/tex]
[tex]\Rightarrow \sf{ \sqrt{11 \ x \ 11} + \sqrt[3] {\sf5 \ x \ 5 \ x \ 5}[/tex]
[tex]\Rightarrow \sf{ \sqrt{11^2} + \sqrt[\sf 3] {\sf 5^3}[/tex]
[tex]\Rightarrow \sf 11 + 5[/tex]
[tex]\Rightarrow \sf 16[/tex]
I hope this help you . the concept of sure and cube roo
How can you find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model?
The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)
Conditional ProbabilityThis is the probability that an event has happened given another event. If the two events are A and B, hence;
The conditional probability of A given B is expressed as:
P(A | B) = P(AnB)/P(B)
This given the fractions representing the conditional probability
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Hello!
im studying for my future SAT test and my school is over can you please show me steps on this i need to understand it thanks!
Answer:
Therefore, an integer that's divisible by both 6 and 9 has at least one 2 and two 3s in its prime factorization. That means it is divisible by 2 and 3: 2 x 3 6, 3 x 3 9, and 2 x 3 x 3 = 18. It's not necessarily divisible by 12 or 36, each of which includes two 2s in its prime factorization
The function f(x) is shown on the graph.
-181x
15
12-
Hr)
-9-
6-
3-
-3
T
3
9
12-
10
18+
If f(x) = 0, what is x?
O 0 only
O -6 only
O-2, 1, or 3 only
O-6, -2, 1, or 3 only
Answer: -6
Step-by-step explanation:
Instructions: Rewrite the equation in Slope-Intercept Form. y−2=−2/5(x−5)
The equation in Slope-Intercept Form is y = -2/5 x + 4.
We have given that,
y−2=−2/5(x−5)
We have to rewrite the equation in Slope-Intercept Form.
What is the slope-intercept form of the line?
slope-intercept form is y = mx + b
for equation y - 2 = -2/5 (x - 5) we need to simplify/rearrange
so y - 2 = -2/5 x + -2/5 (-5)
= -2/5 x + 2
=> y = -2/5 x + 4
This line has a gradient of -2/5 (goes down 2 units and across 5 units) and a y-intercept of 4 so passes through the point (0,4).
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This should be easy. Answer it please :D
Answer:
is it 1 ques or 4 different questions?
Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th block of the town, which absolute value equation can be used to determine the farthest block to which Jamaal is allowed to walk?
|x – 57| = 0
|57 – 3| = x
|3 – 57| = x
|x – 57| = 3
Answer:
| x - 57 | = 3
Step-by-step explanation:
Since the house is on the 57th block, Jamaal must stop walking on the 54th block or the 60th block.
A sector of a circle of radius 14cm containing
an angle 60° is folded to forma cone
Calculate the radius of the base of the circle
}
answer is 2 ⅓
Explanation
Length of arc = circumference of the base of the
cone
is β/360 x 2πR=2πr
make r the subject of formula
r =βR/360
r=60 x 14/360
r=2⅓cm
please mark as brainliest if i am right