Answer:
4
Step-by-step explanation:
In math, the word difference is the result of subtracting one number from another. It refers to the difference in quantity between two numbers. In math, we get the difference between two numbers by subtracting the subtrahend (the number being subtracted) from the minuend (the number being subtracted from).
Find the domain and range of the function represented by the graph . What’s the domain an range
What Is The exact volume of the cone with a height of 4 and a radius of 7
Answer:
196 / 3 [tex]\pi[/tex]
Step-by-step explanation:
pi x radius x radius x height / 3
= pi x 49 x 4 / 3
= pi x 196 / 3
Can someone please help me, i don't understand this work.
Answer: Check out the diagram below for the filled out table
Equation is y = 1.5x
Box for row one = 330
Box for row two = 1000
Box for row three = 1.5
===========================================================
Explanation
x = amount of fish in grams (horizontal axis)y = number of calories (vertical axis)The point (x,y) = (200,300) is on the blue diagonal line. It indicates that x = 200 grams of fish have y = 300 calories. Divide the two values to get the slope
slope = y/x = 300/200 = 1.5
This trick only works because the line is going through the origin. Otherwise, we'd have to use the slope formula.
The slope of 1.5 is the constant of proportionality. It tells us the equation is y = 1.5x. Whatever x is, multiply by 1.5 to get y.
So if x = 220, then y = 1.5x = 1.5*220 = 330
220 grams of fish have 330 calories. We'll write 330 in the box of the first row of the table.
-----------------
We can use this idea in reverse. If we know the calorie count (y), then we can divide by 1.5 to get the number of grams (x).
y = 1.5x
1500 = 1.5x
1.5x = 1500
x = 1500/(1.5)
x = 1000
Therefore, 1000 grams of fish have 1500 calories. We'll write 1000 in the box of the second row.
------------------
The third row of the table is going to follow the same steps as the first row.
y = 1.5x
y = 1.5*1
y = 1.5
One gram of fish produces 1.5 calories
The filled out table is shown below. I've merged the two screenshots you posted into one image, and filled out the boxes.
-
Drag the steps for drawing a graph of the function f(x) = 2(x+4)2 - 3 to
arrange them in the correct order. It might help you to draw the graph as
you arrange the steps.
Plot the vertex (-4,-3).
Draw the axis of symmetry x=-4.
Reflect the points over the axis of symmetry and plot (-5, -1), (-6,5), and (-7,15).
Apply the 2x? pattern, from the vertex go right 1 up 2 and plot (-3,-1).
Apply the 2x² pattern again, from the vertex go right 2 up 8 and plot (-2,5).
Apply the 2x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1,15)
Draw a U shaped parabola
The shape of the graph of quadratic functions is the shape of a parabola.
The steps for drawing a graph of the function f(x) = 2·(x + 4)² - 3 arranged in the correct order are;
(a) Plot the vertex (-4, -3)(b) Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)(c) Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)(d) Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)(e) Draw the axis of symmetry x = -4(f) Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)(g) Draw a U shaped parabola.Reasons:
The given function is; f(x) = 2·(x + 4)² - 3
The function is given in the vertex form; f(x) = a·(x - h)² + k
Therefore, the vertex, (h, k) = (-4, -3)
Step (a);
The vertex can be plotted on the graph
Plot the vertex (-4, -3)Step (b);
Given that the quadratic term is 2·x², the pattern that can be used for the points from the vertex is therefore, 2·x²
From the vertex (-4, -3) apply the 2·x² pattern by going to the right 1 unit and up 2 × 1² = 2 units to get the point (-4 + 1, -3 + 2) = (-3. -1)
Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)Step (c);
To get the next point, the 2·x² pattern is applied with x = 2, to the vertex to get; (-4 + 2, -3 + (2×2²)) = (-2, 5)
Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)Step (d);
A third point on the graph relative to the vertex is obtained again by applying the 2·x² pattern again to the vertex with x = 3, to get;
(-4 + 3, -3 + (2 × 3²)) = (-1, 15)
Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)Step (e);
The axis of symmetry can be drawn with a vertical line passing through the vertex, which is the line, x = -4
The line x = -4 can be drawn on the graph next
Draw the axis of symmetry x = -4Step (f);
The points obtained relative to the vertex (-3, -1), (-2, 5), (-1, 15) can reflected about the axis of symmetry x = -4, to get;
(-3, -1) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-5, -1)
(-2, 5) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 5)
(-1, 15) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 15)
Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)Step (g);
The parabola that is U shaped can be drawn from the points plotted in the steps above.
Draw a U shaped parabolaLearn more about drawing the graph of a quadratic function here:
https://brainly.com/question/6353430
The expression 40 is equivalent to ?
Answer:
The expression 40 is equivalent to 20 × 2=40
Step-by-step explanation:
20 ×2=40
Solve for x. x^2+6x+9=0
Answer:
x=-3
Step-by-step explanation:
x^2+6x+9=0
Factor
(x+3)(x+3) =0
Using the zero product property
x+3 =0 x+3=0
x=-3 x=-3
Solution
x=-3
let f(x)=x-3 and g(x)= 3x^2. perform the function operation and then find the domain of the result. (f-g)(x)
Answer:
(f-g)(x) = f(x) - g(x)
= x-3 - (3[tex]x^{2}[/tex])
= x- 3 - 3[tex]x^{2}[/tex]
domain is all real number
Step-by-step explanation:
A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?
Answer:
2,771
Step-by-step explanation:
24 x 114 = 2736 + the 35 they threw away = 2,771
Segment AB and CD intersect at point E, measure of angle ABC =6x+20 and measure of angle DEB=10x. What is the value of x?
Answer:
x = 5
Step-by-step explanation:
6x + 20 = 10x
I hope this helps!
1. Edna bought an RTW dress for Php575.00 at 20% discount. What was
the original price?
Answer:
i think original price Php656.25
Step-by-step explanation:
original price Php x
80%x = 575
x = 575×100/80
x = 656.25
original price Php656.25
Answer the following questions. Make sure to show all your work.
1. In each case below, show if the point given is a solution to the system of
equations.
a.)
Point (-0.8,-0.6)
Equation 1 - y = 2x + 1
Equation 2 - y = -3x - 3
b.)
Equation 1 - x + y = 3
Equation 2 - y + 2 / 2 = x
POINT - (1/3, 2)
PLZ HELP ME
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: https://brainly.com/question/847634
Solve for y. 4/7 y + 2/7 = 6
A) y = 20
B) y = -10
C) y = 10
Answer:
C) y = 10
Step-by-step explanation:
Subtract 2/7 from each side
4/7y = 40/7
Divide both sides by 4/7 (Multiply by 7/4)
y = 10
Answer:
C) y=10
Step-by-step explanation:
4/7y+2/7=6
7(4/7y+2/7)=7(6)
4y+2=42
4y=42-2
4y=40
y=40/4
y=10
Aneesha determined that the cost of attending her public four-year college in her first year will be $6,220. If the average cost is expected to increase by 6%, what will be the cost of attending her second year in college?
A) $6,226.00
B) $6,257.32
C) $6,593.20
D) $6,820.00
Answer:
6593.2
Step-by-step explanation:
6,220*1.06 = 6593.2
STUDY
1. Simplify the expression below
5p + 14p
4(x - 2) + 6x
2. Evaluate
Answer:
(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.
Step-by-step explanation:
Answer:
5p + 14p= 19p
4 (x-2)+6x
4x-8+6x
10x-8
- 3m + 7 - 2n
Can I get the answer
Answer:
3m + 5
Step-by-step explanation:
uhmm i think 2n is i cant solve here hope it helps
the average weight of 6 boys is 40 kg .Two boys weighing 40kg and 20kg left the group.Find the average weight of the remaining four boys
the average weight of 4boys 39.6 is Wight
PLEASE HELP!!!!
Simplify:
3x2 + 7xy + 9x + (-8xy) +21x2
Answer:
22 x ² − x y + 9 x
Step-by-step explanation:
The simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct
what is simplification?
Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter).
simplify,
[tex]3x^{2}[/tex] + 7xy + 9x + (-8xy) + [tex]21x^{2}[/tex]
3[tex]x^{2}[/tex] + 21[tex]x^{2}[/tex] + 7xy - 8xy + 9x
24[tex]x^{2}[/tex] - 1xy + 9x
hence, the simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct
To learn more about simplification from here,
https://brainly.in/question/25508298
#SPJ2
What are the values of a1 and r of the geometric series? 2 â€"" 2 2 â€"" 2 2.
The values of [tex]a_1[/tex] is 2 and r are -1 of the geometric series and it can be determined by using geometric summation operation.
Given that,
The geometric series is,
2 – 2 + 2 – 2 + 2
We have to determine
What are the values of a1 and r of the geometric series?
According to the question,
Geometric series;2 – 2 + 2 – 2 + 2
The geometric series [tex]a_1[/tex] is the first term of the geometric sequence and r is the common ratio of the geometric series.
The first term of the given geometric series is 2.
And the common difference in the given geometric series is,
[tex]\rm r = \dfrac{a_2}{a_1}[/tex]
Where [tex]a_1[/tex] is the first term of the geometric sequence and [tex]a_2[/tex] is the second term of the geometric sequence.
Then,
The common difference in the given geometric series is,
[tex]\rm r = \dfrac{-2}{2}\\\\r = -1[/tex]
The common ratio in the given geometric series is -1.
Hence, the values of [tex]a_1[/tex] is 2 and r is -1 of the geometric series
For more details about Geometric progression refer to the link given below.
https://brainly.com/question/25959517
I need help with this
Answer:
512
Step-by-step explanation:
64 × 8 = 512
512
64 8
16 4 2
8 2 2 1
Question 30 of 56
Is this relation a function? Justify your answer
Answer: No, this relation is not a function.
Step-by-step explanation:
Two of the points with the same Y axis have different X values (as stated in answer A)
HELP ME PLEASE I DONT KNOW HOW TO DO THIS
Answer:
Step-by-step explanation:
x = 1 - 1
Which graph represents the solution of the inequality |3x+12| ≥ 3?
Answer: A
Step-by-step explanation:
The solution to the inequality is x <= -5 and x>=-3 so A is correct
PLEASE HELP ASAP OF YOU DO FOD BLESS YOU BECAUSE IT WILL RAISE MY GRADE
Answer:
8
Step-by-step explanation:
The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.
Hope this helps!
In Damien's classroom, the ratio
of boys to girls is 4:5. If there
are 12 boys, how many students
are there in all in Damien's
classroom
Answer:
The answer would be 27 students
Step-by-step explanation:
4=boys
5=girls
4 x 3 = 12
5 x 13 = 15
12+ 15 = 27
Which of the following ordered pairs are solutions to the system of equations below?
Answers:
A.) (3.5, 5.8)
B.) (3.5, -5.8)
C.) (-3.5, -5.8)
D.) (-3.5, 5.8)
The answer is B. 3.5, -5.8
7. Use graph paper to graph each linear function:
f(x) = 4x - 7
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
The ratio of cats to dogs seen at CyFair Animal Hospital is 2 to 5. If Dr. Blue, Dr. Ross, and Dr. Lavigne see 40 dogs altogether, how many cats AND dogs did they see in all? Explain your answer.
Please
The number of cats and dogs the doctor saw is 56.
Ratio expresses the relationship between two values. It shows the frequency that one value is contained another value. The sign of ratio is :.
The equation that can be used to determine the total number of dogs that the doctor saw is:
(ratio of dog / total number of dogs and cats) x total number of animals = number of dogs
5/7 x a = 40
Where a is the total number of dogs and cats
In order to determine the value of a, divide both sides of the equation by 7/5.
40 x 7/5 = 56
To learn more about ratios, please check: https://brainly.com/question/3033738
simplify this equation
Answer: 3x/(x-3)(x+1)
HI CAN YOU PLEASE HELP ME
Answer:
11 C
12 D
13 B
14 E
15 A
Step-by-step explanation:
pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.
Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?