Answer:
a= b+m/2
Step-by-step explanation:
The function g(x) = (x + 2)2 + 4 is a transformation of the parent function f(x) = x2. Select all the statements that are true about the transformation.
A. Function g is the result of f being translated right 2 units and down 4 units.
B. Function g is the result of f being translated left 2 units and up 4 units.
C. The graph of function f opens upward.
D. The graph of function g opens downward.
E. The graph of function f is compressed by a factor of 2.
Answer:
Step-by-step explanation:
B
C
Using translation and parabola concepts, it is found that the correct options are:
A. Function g is the result of f being translated right 2 units and down 4 units.
C. The graph of function f opens upward.
------------------------------
The parent function is: [tex]f(x) = x^2[/tex]Function g is given by: [tex]g(x) = (x + 2)^2 + 4[/tex]Shifting a function f(x) a units to the right is the same as finding f(x + a).Shifting a function f(x) a units up is the same as finding f(x) + a.From the last two bullet points, option A is correct and option B is incorrect.In both functions, f and g, the term that multiplies [tex]x^2[/tex] is positive, thus, both open upward, which means that option C is correct and option D is incorrect.Both are multiplied by the same factor, 1, thus none are compressed, and option E is incorrect.A similar problem is given at https://brainly.com/question/4521517
A certain star is 5.2 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How
far from the earth (in miles) is the star?
the correct answer is 5.89999999948*10^12
Fill in the blank with the correct number.
The number ________ is divisible by 2, 3, 4, 5, and 6.
A. 10
B. 30
C. 45
D. 60
Which is 65% of 35?
CLEAR SUBMIT
17.5
22.75
30
53.85
[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
[tex] = 65\% \times 35[/tex]
[tex] = \frac{65}{100} \times 35[/tex]
[tex] = \frac{65 \times 35}{100} [/tex]
[tex] = \frac{2275}{100} [/tex]
[tex] = 22.75[/tex]
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Ara is lining the bottom and lateral faces of a drawer with liner paper. The dimensions of the inside of the drawer are 1 yard, 29 inches, and 9 inches. What is the total area in square inches being covered? The total area being covered is square inches.
Answer:
The total area being covered is 3,528 square inches
Step-by-step explanation:
Mathematically, we can deduce the shape of the drawer using the dimensions.
With the dimensions given, we can infer that the drawer is shaped like a match box which thus is in the shape of a cuboid.
We can then proceed to find the area of the cuboid.
Mathematically, the area of a cuboid can be calculated as;
2(lb + lh + bh)
Kindly note we need to have a uniform unit before we proceed to calculate the area.
Mathematically, 1 yard is 36 inches
So the sides of the drawer measures 36 inches by 29 inches by 9 inches
Thus, the area is thus;
2( 29(9) + 36(29) + 9(36))
= 2(261 + 1044 + 324)
= 2(1629)
So the area of the drawer is 3,528 square inches
subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)
Answer:
-3+8i
Step-by-step explanation:
the relationship between altitude and the boiling point is linear.AT an altitude of 8300ft 8300 ft , the liquid boils at 194.23 194.23 degrees Fahrenheit an altitude of 4200 ft , 4200 ft , the liqiud boils at 202.02 202.02 degrees fahrenheit.Write an equation giving the boiling point b b of the liquid,in degrees fahrenheit in terms of altitude a in feet . feet . What is the boiling point of the liqud at 2600 ft 2600 ft
Complete Question
The relationship between altitude and the boiling point is linear. At an altitude of 8300ft, the liquid boils at 194.23 ° F
At an altitude of 4200 ft , the liquid boils at 202.02° F.
Write an equation giving the boiling point b of the liquid, in terms of altitude a in feet . feet . What is the boiling point of the liquid at 2600ft
Answer:
The equation is [tex]y = -0.001943x + 210.3569 [/tex]
At 2600ft the temperature is [tex]y = 205.3051 \ °F [/tex]
Step-by-step explanation:
From the question we are told that
The temperature at 8300ft is 194.23 ° F
The temperature at 4200 ft is 202.02° F
Generally the slope for this relationship is mathematically represented as
[tex]m = \frac{ 202.2 - 194.23}{ 4200 - 8300}[/tex]
=> [tex]m = 0.001943 ^o F / ft [/tex]
Generally the according to the point slope formula is
[tex]y - y_1 = m(x -x_1 )[/tex]
=> [tex]y - 194.23 = -0.001943 (x - 8300 )[/tex]
=> [tex]y - 194.23 = -0.001943x + 16.1269 [/tex]
=> [tex]y = -0.001943x + 210.3569 [/tex]
Now we are given from the question that x = 2600 ft
Then
[tex]y = -0.001943(2600) + 210.3569 [/tex]
=> [tex]y = 205.3051 \ °F [/tex]
Which equation shows a proportional relationship between x and y?
Answer: y = 4x
Step-by-step explanation:
A proportional relationship is function that is a means of ratio.
Say, x equals 12, then y would equal 48. Or x = 5, then y = 20. Etc
What is the average rate of change in height over the entire 5 seconds?
Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).
Step-by-step explanation:
If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?
Answer:
$600
Step-by-step explanation:
450➗75✖100= 600. The original price was $600.
Answer:
600
Step-by-step explanation:
450/.75=600 dollars
Use the quadratic formula to solve. SHOW ALL STEPS FOR FULL CREDIT. Make sure that the final answer has a simplified radical. 2x² -10x +3
Answer:
whats that
Step-by-step explanation:
Answer:
[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]
Step-by-step explanation:
If we have the standard form [tex]ax^2+bx+c[/tex], then we can use the quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
First, let's identify our coefficients. We have [tex]2x^2-10x+3[/tex].
This can be rewritten as [tex](2)x^2+(-10)x+(3)[/tex].
Therefore, a=2, b=-10, and c=3.
Substitute these values into the quadratic formula. This yields:
[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(2)(3)}}{2(2)}[/tex]
From here, simplify. Evaluate the expression under the square root:
[tex]x=\frac{10\pm\sqrt{100-24}}{4}[/tex]
Evaluate:
[tex]x=\frac{10\pm\sqrt{76}}{4}[/tex]
Note that:
[tex]\sqrt{76}=\sqrt{4\cdot 19}=\sqrt{4}\cdot\sqrt{19}=2\sqrt{19}[/tex]
Therefore:
[tex]x=\frac{10\pm2\sqrt{19}}{4}[/tex]
We can factor out a 2 from both the numerator and the denominator:
[tex]x=\frac{2(5\pm\sqrt{19})}{2(2)}[/tex]
Simplify:
[tex]x=\frac{5\pm\sqrt{19}}{2}[/tex]
Therefore, our roots are:
[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]
You figured out that you could make $50 each time you cleaned a pool during the summer.
You did, however, need to purchase some equipment to get started. After cleaning 3 pools,
you were still down at total of 15 dollars. Write an equation in point-slope form that
represents that number of pools you clean, x, and the total amount you make in the summer,
V
a) y = 50x - 165 (After cleaning three pools, you were still down $15, this means the equipment costs 3*50 + 15 = $165)
b) The y-intercept -165 is the equipment cost
c) After cleaning 12 pools, y = 600 - 165 = 435. You have made $435.
You discovered that you could earn $50 for each summertime pool you cleaned. The equation is y = 50x + 16. The y-intercept is (0, 165). After 12 pools, y = 435.
What is point-slope equation ?We have to create a point-slope equation to reflect the quantity of pools you clean, x, and your summertime earnings.
Given that,
You discovered that you could earn $50 for each summertime pool you cleaned
But in order to begin going, you had to buy some supplies. Even after cleaning three pools, you were still out of pocket by a total of $15.
The equation we can write as
y = 50x + 165
You were still down $15 after cleaning three pools, therefore the equipment costs 3×50 + 15 = $165.
The y-intercept we get as taking x as zero.
y = 50(0) + 165
y = 165
The y-intercept is (0,165).
After 12 pools,
We get,
y = 600 - 165 = 435.
Therefore, The equation is y = 50x + 16. The y-intercept is (0,165). After 12 pools, y = 435.
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sue subtracted 2.9 from 20.9 and got 1.8. Explain why this is not reasonable. Please answer ASPA. I Will give brainliest and do anything.
Answer:
The correct answer would be 18 which means that the decimal is in the wrong spot.
Step-by-step explanation:
During a movie, Leon ate 7/8 of a handful of snack mix, and Oscar ate 5/8 of a handful. How
much more did Leon eat?
Write your answer as a fraction or as a whole or mixed number.
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Fraction eaten by Leon = [tex]\frac{7}{8}[/tex]
Fraction eaten by Oscar = [tex]\frac{5}{8}[/tex]
Unknown:
How much more did Leon eat than Oscar = ?
Solution:
Since they both ate from the same snacks,
Leon will eat = [tex]\frac{7}{8}[/tex] - [tex]\frac{5}{8}[/tex] more than Oscar;
This gives;
[tex]\frac{7- 5}{8}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Leon ate [tex]\frac{1}{4}[/tex] more snacks than Oscar.
338 points in 16 games. how many points did they make per game?
The cooking club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 3 pies to the club. Each pie was then cut into 6 pieces and sold. There were a total of 72 pieces to sell. How many pies did the cooking club bake?
Answer:
9 pies
Step-by-step explanation:
From the question, we were given,
Number of pies = 3
Number of pieces cut from each pie = 6
Given total number of pieces to sell = 72
But the Number of pieces from 3 pies = 3×6
=18
so, Number of pieces the club needed to make is given = 72-18= 54
Since each pie is cut into 6 pieces
And number of extra pieces needed = 54
Then the number of pies the cooking club bake is 54/6= 9 pies
Therefore, the club bake 9pies
The machine runs 10 hours a day for 5 days a week. How many gallons of yogurt are processed each week?
Answer:
30 gallons
Step-by-step explanation:
if it fills up 1600 tubs an hour then the answer should be 30 gallons.
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
Answer:
2.5in
Step-by-step explanation:
Given parameters;
Base = 4.5inches
Height = 6inches
Area = 21in²
Unknown:
b₂ = ?
Solution:
Formula for finding the area of a trapezium;
A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h
Input the parameters and solve for b₂;
21 = [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6
21 = 3(4.5 + b₂)
21 = 13.5 + 3b₂
21 - 13.5 = 3b₂
b₂ = 2.5in
What are the roots of the quadratic equation y= x^2 - 10 x + 125
Answer:the roots is 2 10 and 125
Step-by-step explanation:used a caculator
Answer:
for me the answer is a but the root is x=5+10i
Step-by-step explanation:
what is the maximum number of terms a fourth-degree polynomial function in standard form can have?
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
The general form of an nth degree polynomial is:
[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
The maximum number of terms that an nth -degree polynomial can have is n+1
For a fourth degree polynomial, n = 4
Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]
The maximum number of terms of p(x) above, when n = 4 is (4+1)
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
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What is the equation of this line?
A. y=43x−4
B. y=34x−4
C. y=−4x+34
D. y=−4x+43
Answer:
Y=4/3x - 4
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,
Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3
The y-intercept of the line is -4, therefore, the equation of the line can be written as,
y = mx + c
y = (4/3)x - 4
Hence, the equation of the given line is y=(4/3)x-4.
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the amount of money in a bank account
Answer:
I currently have $-68
Step-by-step explanation:
Renee has 13 rings and 48 bracelets. She has a small box for each item. How many small boxes does Renee have
for her rings and bracelets?
Help plz
Answer:
[see below]
Step-by-step explanation:
Renee has one small box for each item. This means that she would have 13 boxes for the small rings and 48 boxes for the bracelets.
13 + 48 = 61
She should have 61 boxes in total.
Hope this helps.
What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))
Answer:
Ues the site called quetext is helps
Step-by-step explanation:
Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.
What is Distributive property?Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
(2a)^4
=2^4.a^4
The value of 2^4 is 16, because 2^4=2*2*2*2=16.
=16a^4.
Therefore by distributive property of exponents (2a)^4 = 16a^4.
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Find the product.
-10 X (-3) X9 =
Answer:
270
Step-by-step explanation:
[tex] - 10 \times ( - 3) \times 9[/tex]
[tex]30 \times 9[/tex]
[tex]270[/tex]
Answer:
The answer is Answer = 270x
What is the slope of a line that passes through points (2, 4) and (8, 22)???????
Answer:
The slope is 1/3
Step-by-step explanation:
2-8/4-22
-6/-18
1/3
what is the value for y in the follower expression
When x= 14
Y=2x+5
Answer:9-8Step-by-step explanation:
Monique made several batches of soup for a potluck supper each batch requires 3/4 of a pounds of potatoes and she used a total of six 1/2 pounds of potatoes how many batches of sifted Monique make which division and multiplication problems could represent this scenario check all that apply
Answer:
The answer is below
Step-by-step explanation:
Monique made several batches of soup for a potluck supper. Each batch required 3\4 of a pound of potatoes, and she used a total of 6 1/2 pounds of
potatoes. Solve the division problem.
What is 13/2 ÷ 3/4
Answer:
a) 3\4 of a pound of potatoes can make a batch of potluck supper. Monique used 6 1/2 pounds of potatoes in total. Let n represent the number of batches of soup that was made, hence:
[tex]n=\frac{total\ number\ of\ potatoes\ used}{6 1/2 pounds ofpotatoes\ to\ make\ a\ batch\ of\ soup} \\\\n=\frac{6\frac{1}{2} }{\frac{3}{4} } =\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =8.67[/tex]
Therefore Monique made about 8 batches of soup
b) [tex]\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =\frac{26}{3} =8.67[/tex]
Answer:
b and e are the best options and are true
Charlie bought hamburgers today and drinks for his friends. Each burger cost $3.75 and each drink cost .50 cents. In total Charlie paid $25.50 for his order. Write an equation that represents the number of burgers he bought,h, and the number of drinks he bought ,d.
Answer:
3.75h + 0.5d = 25.50
Step-by-step explanation:
Let 'h' represent the number of hamburger.
Let 'd' represent the number drink.
From the question given:
We were told that a hamburger (h) cost $ 3.75.
Therefore, h number hamburger will cost = h × 3.75 = 3.75h
Also, we were told that a drink cost 0.50 cent.
Therefore, d number of drink will cost = d × 0.5 = 0.5d
In total Charlie paid $25.50 for his order i.e
Total cost of hamburger + total cost of drink = 25.50
Total cost of hamburger = 3.75h
Total cost of drink = 0.5d
3.75h + 0.5d = 25.50
Thus, the equation representing the number of hamburgers (h) and the number of drinks (d) that Charlie bought is given as:
3.75h + 0.5d = 25.50
A segment with endpoints (3.7) and (-8.7) is rotated
around the origin. How long will the new segment be?
A-8
B-5.5
C-22
D-11
b
Step-by-step explanation: