Answer:
Step-by-step explanation:
it is shifted 4 units down.
y=f(x)
y=f(x)+a,a>0
it is shifted a units up .
y=f(x)-a ,a>0
it is shifted a units down.
Final answer:
The graph of y=-6x²-4 is the same as the graph of y=-6x² but shifted 4 units down. This shift is because a constant term (in this case -4) added or subtracted from a function results in a vertical shift of the graph.
Explanation:
The question asks how the graph ofy=-6x²-4 differs from the graph ofy=-6x². This is a situation where we are dealing with vertical shifts in quadratic functions. Looking at the function y = f(x), a subtraction of a constant term outside the function (not multiplying x) results in a vertical shift of the graph. Here, y=-6x²-4 is the same function as y=-6x², but with a vertical shift downwards by 4 units, resulting in the graph being shifted 4 units down.
For clarification and based on transformations, if we had a function f(x) = x² and transformed it to f(x) = x²- 4, the graph would shift vertically down by 4 units. Similarly, the graph of y=-6x², a downward-facing parabola with its vertex at the origin, will be shifted down by 4 units due to the -4 at the end of y=-6x²-4. Therefore, the correct answer is that the graph is shifted 4 units down.
What is the surface area, in square inches, of the container?
Answer:
62 inches
Step-by-step explanation:
Adam wishes to advertise his business, so he gives packs of 16 red flyers to each restaurant
owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Adam
realizes that he gave out the same number of red and blue flyers. What is the minimum
number of flyers of each color
Answer:
16
Step-by-step explanation:
The Lcm of 16 and 4 is 16. I hope this helps
Answer:
The minimum number of flyers of each color is 16
Step-by-step explanation:
Since they are trying to find the minimum number of flyers of each color, they are looking for the least common multiple. That means that are trying to find the number that corresponds to 4 and 16 at the lowest value.
Step 1: Find the LCM
4 can be multiplied by 4 to get 16
4 * 4 = 16
Answer: The minimum number of flyers of each color is 16
Which verbal expressions represents 4x - 10?
Answer:
four x minus ten
Step-by-step explanation:
4x = four x
-10 = minus ten
Answer:
Four times a number x minus 10
What is the slope of the line with equation y-3=-1(x-2)?
Answer:
m = -1/2
Step-by-step explanation:
It moves right 2 and down 1.
Answer: slope is -1/2
Step-by-step explanation:
Newton goes on a 10-day road trip. He takes $435 with him.
sends all of his money and spends the same amount
day. How much money does he spend each day?
Answer:
$43.5
Step-by-step explanation:
435/10 = 43.5
$43.5/day
Between the time Iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.
Write an addition expression for the temperature relative to when Iko woke up.
Answer: -3 degrees
Step-by-step explanation:
Lets say that the original temperature was "x."
The temperature rose by 11 degrees so it is now at 11+x.
Then the temperature fell by 14 degrees so you subtract. 11+x-14
11-14= -3 so you subtract 3 degrees from the original temperature and there fore the relative temperature is -3
I hope this helps!!!
Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequalities to represent this situation.
(I did not mean to select one)
Answer:
First choice A : 2x +3y is less than or equal to 18. x greater than or equal to 0. y greater than or equal to 0.
If fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.
What is inequality?A collection of two or more inequalities in one or more variables is known as a system of inequalities. When there are multiple constraints on a problem's potential solutions and a range of potential solutions are needed, systems of inequalities are used.
Given that, fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol.
The maximum or minimum values of a situation with multiple constraints are frequently determined using a system of linear inequalities.
Thus, if fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.
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The equation for line bis y = -2x + 3. Line c is the result of dilating line b by a factor
of 2 with center (0, -2). What is the equation for line c?
Answer:
[tex]y = - 2x + 8[/tex]
Step-by-step explanation:
The given equation is
[tex]y = - 2x + 3[/tex]
This is the equation of line b.
We want to find the equation of line c, after b is dilated by scale factor of 2 with center (0,-2).
Note that line c and b still have the same because they are parallel.
Also the y-intercept of b is 3.
The distance of the y-intercept of line b from the center of dilation is 5.
After a dilation by scale factor of 2, the y-intercept of c will be 2(5) =10 units from the center.
The y-intercept of c will therefore be:
10+-2=8
The equation c is
[tex]y = - 2x + 8[/tex]
The slope of a line is and the y-intercept is -1/5. What is the equation of the line written in slope-intercept form? Type the equation in the space provided. Be sure to use the slope-intercept form noted in the lesson. Do not type spaces in your answer. If necessary, use the / key to represent a fraction bar.
The equation of the line in slope intercept form is y = mx - 1/5, where m is the slope of the line.
Explanation:The subject of this question is mathematics, specifically geometry, and it pertains to how to write the equation of a line in slope-intercept form given the slope and the y-intercept. However, it appears there was a typographical issue as the slope wasn't provided in the question. Let us assume that the slope of the line is m.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this situation, if the slope is m and the y-intercept is -1/5, the required equation of the line in slope-intercept form can be written as y = mx -1/5.
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What solid 3D object is produced by rotating the quarter-circle about line m
Answer:
hemisphere.
Step-by-step explanation:
it is a hemisphere with radius=5 units.
or hemisphere with diameter=10 units
Answer:
A semisphere (half sphere) with diameter 10 units
Step-by-step explanation:
what’s the difference between an ark and a radius on a circle?
Answer:
Step-by-step explanation:
The arc of a circle is a portion of the circumference of a circle and the radius is a straight line from the center of a circle to the circumference of a circle.
You leave a 12% tip for a $25 meal. How much is the tip, in dollars?
Answer:
3 dollars
Step-by-step explanation: divide 25 by .12=3.00
Answer:
$3
Step-by-step explanation:
25 X 1.12 = 28 $28-$25= 3 dollar difference.
(0.12 is the decimal form of 12%)
The number 8.375 x 10^-3 is equivalent to ____
Answer:
0.008375
Step-by-step explanation:
Answer:
hey
Step-by-step explanation:
8.375 can be written as
8375/1000
8375/ 10³
put in q
8375×10 power -3 × 10 power -3
8375× 10 power -6
0.008375
HELP ASAP
1yd 1 ft=_____ya
A 1 1/2
B 1 1/12
C 1 1/3
D 1 1/6
Question 6
Name the image of F(-3, 1) after being translated along the vector <5. - 1>.
Answer:
F' (2, 0 )
Step-by-step explanation:
A translation < 5, - 1 > means add 5 to the x- coordinate and subtract 1 from the y- coordinate, that is
F(- 3, 1 ) → F'(- 3 + 5, 1 - 1 ) → F'(2, 0 )
The image of the point F(-3, 1) after being translated along the vector <5, -1> is (2, 0). The process involves adding the vector components to the original point's coordinates.
Explanation:The initial point on the coordinate system is F(-3, 1). A translation moves a point by a specific vector. This vector is <5, -1>, meaning we move the point 5 units to the right and 1 unit down.
To perform the translation, we add the components of the vector to the coordinates of the original point. So, we add 5 to the x-coordinate (-3) and -1 to the y coordinate (1). This gives us the following results:
x-coordinate: -3 + 5 = 2y-coordinate: 1-1 = 0So, the image of F(-3, 1) after being translated along the vector <5, - 1> is the point (2, 0).
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estimate each quotient. show your work. 165÷4
Answer: 41 1/4
Step-by-step explanation: 160/4=40
5/4= 1 1/4
LIKE IF CORRECT
How many different 4-digit personal identification numbers (PINs) can be made from the digit 0 through 9 if no digits repeat?
Answer:4960
Step-by-step explanation:
Answer:
Look below
Step-by-step explanation:
Searched it up.
66
Write an imequality” five times some number is less than 65”
Answer: 5x < 65
Step-by-step explanation: please give brainliest hope it helps and thankyou
Answer:
5x < 65
Step-by-step explanation:
Because 5*some number, you could use x. then the less than symbol means that 5x is less than 65
What is an equivalent fraction of 2
Answer:
[tex]\frac{2}{1}[/tex]
Step-by-step explanation:
[tex]\frac{2}{1} = 2[/tex]
If a fractions denominator is a one that means the fraction is equal to the numerators whole number in this case we have 2/1 since the denominator is a 1 that means the whole fraction is equal to 2 because the numerator is 2.
Hope this helps.
Line A passes through points (10, 9) and (6, 2)
line B is parallel to line A . what is the slope of B ?
Answer:
7/4
Step-by-step explanation:
Parallel lines have the same slope, so all you have to do is find the slope of A.
The slope of A is (9-2)/(10-6) = 7/4
Answer:
7/4
Step-by-step explanation:
Have a nice day :)
What is the diameter of a circle with an area of 100 pie square feet
Answer: diameter =20ft
Step-by-step explanation:
Where is (-4) located on the number line?
The floor of a rectangular room is to be tiled with 1/3 foot square tiles along a 9 3/8 foot wall. How many tiles will be needed along the wall?
Answer: Therefore, approximately 225/8 tiles will be needed along the 9 3/8 foot wall.
Step-by-step explanation:
To determine how many tiles will be needed along the 9 3/8 foot wall, we need to find the number of tiles that can fit in that space.
First, let's convert the mixed number 9 3/8 to an improper fraction. To do this, we multiply the whole number (9) by the denominator (8) and add the numerator (3):
9 * 8 + 3 = 75/8
Now, we have the length of the wall as 75/8 feet.
To find the number of tiles needed, we divide the length of the wall by the length of each tile. The length of each tile is 1/3 foot.
Dividing 75/8 by 1/3, we multiply the first fraction by the reciprocal of the second fraction:
(75/8) / (1/3) = (75/8) * (3/1)
Simplifying the calculation, we get:
(75 * 3) / (8 * 1) = 225/8
Therefore, approximately 225/8 tiles will be needed along the 9 3/8 foot wall.
To tile a 9 3/8 foot wall with 1/3 foot square tiles, 282 tiles are needed.
Explanation:The question is asking how many 1/3 foot square tiles will be needed along a 9 3/8 foot wall in your rectangular room. To find the answer, we first need to convert the length of the wall, which is given in mixed number, into an improper fraction. So, 9 3/8 is equal to 75/8 feet. Since each tile covers 1/3 foot, the number of tiles needed along the wall will be total distance divided by the length covered by each tile.
Therefore, the number of tiles = (75/8) ÷ (1/3) = (75/8) * (3/1) = 281.25
However, because we can't use a fraction of a tile, this number needs to be rounded up. Hence, you'll need 282 tiles to cover the 9 3/8 foot wall.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Using the three indicated points on the given line and the concept of similar triangles, show and explain why the slope of the line is the same between any two of these three points. Calculate the slope of the line.
Answer:
Slope = 3/2 or 1.5
Step-by-step explanation:
(0,1) (2,4) (6,10)
Slopes:
(4-1)/(2-0) = 3/2
(10-4)/(6-2) = 6/4 = 3/2
(10-1)/(6-0) = 9/6 = 3/2
Any two points on the line will give the same slope because a straight line has a constant slope
What is the relationship between
the sine and cosine of complementary angles?
Explain your reasoning and use the relationship
to find cos 50 if sin 40 0.64.
Answer:
0.64
Step-by-step explanation:
Sine and cosine of angles are complimentary
This means
Sin x = Cos (90-x)
Cos x = sin (90 - x)
Therefore sin 40 = 0.64
Sin 40 = cos (90 - 40)
Sin 40 = cos 50
Cos 50 = 0.64
I hope this was helpful, please mark as brainliest
Juan wants to start a lemonade stand to earn money.
He needs money to purchase the materials before he
can sell the lemonade and earn money. His mother
agrees to loan him $10. He makes a list of the items he
wants to buy.
Answer:
1. 13 2. 10
Step-by-step explanation:
(-3x^2+x^4+x)+(2x^4-7+4x)
1. Remove parentheses
-3x^2 + x^4 + x + 2x^4 - 7 + 4x
2. Collect like terms
-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7
3. Simplify
-3x^2 + 3x^4 + 5x - 7
A diver starts at the surface of the water and travels 8 feet to the bottom.
Graph A shows her distance from the bottom during the journey.
Graph B will show her distance from the surface during the journey.
Complete each statement about Graph B.
Answer:
On Graph B, at 0 seconds, the graph will be 0 or nothing.
Then the graph will increase until 2 seconds.
Answer:
On Graph B, at 0 seconds, the graph will be 0 or nothing.
Then the graph will increase until 2 seconds.
Step-by-step explanation:
A section in a stained glass window is gaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 3.5 square centimeters, how tall is the section?
Answer:
2.8 cm
Step-by-step explanation:
½(1+1.5)h = 3.5
h = 7/2.5 = 2.8 cm
What are the different ways you can factor a quadratic expression?
A. Greatest Common Factor
B. Perfect Square Trinomial
C. Difference of Squares
D. Factor Quadratic Trinomials with Leading coefficient of 1
E. All of the above
Answer:E
Step-by-step explanation:
All of the above
Final answer:
The correct answer is E. All of the above.
There are several different ways to factor a quadratic expression.
Explanation:
There are several different ways to factor a quadratic expression:
Greatest Common Factor: Look for a common factor that can be factored out of all terms in the expression.Perfect Square Trinomial: If the expression can be written as the square of a binomial, it can be factored using this method.Difference of Squares: If the expression is in the form of a^2 - b^2, it can be factored using this method.Factor Quadratic Trinomials with Leading coefficient of 1: For expressions in the form of ax^2 + bx + c, where a is equal to 1, it can be factored using this method.Therefore, the correct answer is E. All of the above.