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Answers
The function is nonlinear because there is an exponent to the x value, indicating that it is a parabola, which means that it is not a straight line.
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Jessie has 5 dogs. 2 of them are male and 3 of them are female. What percent of the dogs are male?
13x = 15x - 8 What is the value of X?
Write an equation for the line through the points (7, 2) and (10,6) in point-slope form.
Answers
Answer:
8.5 or 8 1/2.
Step-by-step explanation:
To find the product of 2 5/6 and 3, you can multiply the two numbers together.
2 5/6 x 3 is equal to 8.5, therefore, the product of these two numbers is 8 1/2.
Answers
Answer:
16 baskets, each containing 3 red peppers and 1 yellow pepper
Step-by-step explanation:
The greatest common factor (GCF) of the two numbers can be found a variety of ways. It is simplest just to recognize that 16 is a divisor of 48, so is the GCF of the two numbers Since that number divides both evenly, the respective quotients will be the number of peppers in each of the 16 baskets.
(48 red peppers)/(16 baskets) = 3 red peppers/basket
(16 yellow peppers)/(16 baskets) = 1 yellow pepper/basket
Answers
Final answer:
The cost to install a swimming pool as a function of its area can be modeled by the linear equation y = 35x + 15,000, where y is the cost and x is the area in square feet. The cost increases by $35 per extra square foot of area.
Explanation:
The first step in modelling this scenario is to identify the slope of the linear relationship between the pool's area and its cost. The slope can be determined using the formula:
m = (y2 - y1) / (x2 - x1)
Where:
Applying these numbers to the formula gives a slope (m) equal to $35 per square foot.
Next, we can determine the y-intercept (b) of the equation by substituting one of the points and the calculated m into the equation y = mx + b:
$50,000 = $35 * 1000 + b, solving for b gives b = $15,000.
Therefore, the linear equation that models this situation is y = 35x + 15,000. The graph of this equation is a straight line that starts at (0, 15,000) and increases with a slope of 35. Every increase in pool area of 1 square foot increases the cost by $35.
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Answer:
$35,000
Step-by-step explanation:
if $50,000 is to install an area of 1,000 square feet swimming pool and $35,000 can be used to install an 800 square foot swimming pool I think the best graph model is 800 square feet for $35,000 for a cost cut of $15,000 is a good bargain
Answers
Answer:
6 feet 1 inch tall
Step-by-step explanation:
10 inch + 3 inch is 13 inch which is equal to 1 foot 1 inch
2 feet + 3 feet is 5 feet and if we add 5 feet to 1 foot and 1 inch, it will be equal to 6 feet 1 inch.
Answers
The transformations of f(x) = - 2lx - 3| + 1 from the parent function f(x) =|x|
Horizontal Shift: Right 3 Units
Vertical Shift: Up 1 Units
Reflection about the x-axis: Reflected
Vertical Stretch: Stretched
What is Transformation equation ?
Transformation of an equation into another equation whose roots are. reciprocals of the roots of a given equation we replace x→x1. 2.
Given,
Parent function f(x) = |x|
f(x) = - 2 lx - 3| + 1
Assume that f(x) = |x| is y = |x| and,
f(x) = - 2 lx - 3| + 1 is g(x) = - 2 lx - 3| + 1
The transformation from the first equation to the second one can be found by finding a, h, and k
y = a |x−h| + k
find a, h, k in f(x) = - 2lx - 3| + 1
a = -2, h = -3, k = 1
Horizontal shift depends on the value of h,
g(x) = f(x + h) ---- The graph is shifted to the left h units.
g(x) = f(x - h) ---- The graph is shifted to the right h units.
so, h = -3 then horizontal shift will be right 3 units
The vertical shift depends on the value of k,
g(x) = f(x) + k ------- The graph is shifted up k units.
g(x) = f(x) - k -------- The graph is shifted down k units.
so, k = 1 then the vertical shift will be 1 unit up
The sign of a describes the reflection across the x-axis,
−a means the graph is reflected across the x-axis.
Reflection about x-axis is reflected
The value of a describes the vertical stretch or compression of the graph
a > 1, vertical stretch will be narrower
a < 1, vertical stretch will be wider
so, vertical stretch is Stretched
Hence, The transformations of f(x) = - 2lx - 3| + 1 from the parent function f(x) =|x|
HorizontalShift: Right 3 Units
Vertical Shift: Up 1 Units
Reflection about the x-axis: Reflected
Vertical Stretch: Stretched
The graph is given below ↓
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Answers
The greatest common factor of 42 and 96 is 6.
What is greatest common factor?
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
42 = 2 x 3 x 7
96 = 2 x 2 x 2 x 2 x 2 x 3
Greatest common factor = 2 x 3 = 6
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Answer:
6
Step-by-step explanation:
42 and 96
first we will find the factors of 42:
2 21
3 7
7 7
hence, factors of 42 are 2,7 and 3
then, we will find the factors of 96:
2 96
2 48
2 24
2 12
2 6
3 3
1
hence, factors of 96 are 2,2,2,2,2 and 3
Common factors are: 2 and 3
Highest common factor: 6