1) (c) The range of the function f(x) = 3x² + 6x - 8 is {y|y ≥ –11}.
2) (d) The x-intercepts of the graph of the function f(x) = x² + 4x - 12 are ( - 6, 0) and ( 2, 0 ).
1). A parabola opens upward and it passes through ( - 3, 0) and ( 1, 0), and has vertex at ( - 1, - 11 ).
We have the function for the parabola f(x) = 3x² + 6x - 8.
Vertex and the coefficient of the quadratic term are two features of a parabola that aid in determining its range.
Therefore, the critique point of the range and a portion of the constraint is the vertex's vertical coordinate. The next step is to determine if the parabola is concave up or down. The parabola is concave up in this issue if the coefficient of the quadratic terms is positive. As a result of the parabola's concave upward shape, all real numbers greater than - 11 fall into the function's permissible range.
Hence, the range of the function is {y|y ≥ –11}.
2). The graph of the function with the equation f(x) = x² + 4x - 12 is a parabola that opens upward, passes between the points ( - 6, 0) and ( 2, 0), and its vertex is at ( - 6, 0). ( - 2, - 16). It is the y-intercept ( 0, - 12).
The x-intercepts are the locations where the graph and x-axis meet. The y-coordinate of these points is always zero. A parabola can only have two x-intercepts at most. As we can see, the parabola passes through the points ( - 6, 0) and ( 2, 0), and have y coordinates 0, hence the x-intercepts are ( - 6, 0) and ( 2, 0).
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The complete question is mentioned below:
1. On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 1, negative 11), and goes through (1, 0).
What is the range of the function f(x) = 3x² + 6x – 8?
(a) {y|y ≥ –1}
(b) {y|y ≤ –1}
(c) {y|y ≥ –11}
(d) {y|y ≤ –11}
2. On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).
What are the x-intercepts of the graph of the function f(x) = x² + 4x – 12?
(a) (-6, 0), (2,0)
(b) (-2, -16), (0, -12)
(c) (- 6, 0), ( - 2, - 16),
(d) ( 2, 0) (0, -12),
(e) ( - 6, 0), (2, 0)
find the change in temperature from -13c to 15 c math question
Answer:
28 c
Step-by-step explanation:
You want the amount of change from -13c to 15c.
ChangeThe amount of change is found by subtracting the beginning value from the ending value:
(15 c) - (-13 c) = (15 +13) c = 28 c
The temperature changed by 28 c.
twicw the sum of a number and 7 is more than 6 or at most -3
Answer:
2(x+7) more than(>) 6
Step-by-step explanation:
Answer:D
Step-by-step explanation:
Thank me later
For the holidays, Susie wants to bake cookies for her friends. She plans to split the cookies among party bags and distribute them to her friends, but she does not know yet if she will need 3, 5, or 6 bags. Susie wants to put the same number of cookies in each bag. Which amount of cookies below would allow Susie to split the cookies fairly among 3, 5, or 6 bags?
on Monday Carson earned one dollar. on Tuesday he earned two dollars. on Wednesday he earned three dollars. if this pattern continues on Thursday and Friday, how many dollars will he have earned total in all five days
Answer:
15 dollars
Step-by-step explanation:
Monday (1 dollar)
Tuesday (2 dollars)
Wednesday (3 dollars)
Everyday, Carson earn one dollar more.
So Thursday should be 3+1 (which is 4 dollars)
and Friday should be 4+1 (which is 5 dollars)
Total is 1+2+3+4+5 dollars = 15 dollars
On an inch ruler AC is 3 1/2 AB is 1 7/8 then find BC
Answer: can you give me some more information??
Step-by-step explanation:
The first step in determining the solution to the system of equations, y=x²-4x-3 and y= 2x+5, algebraically is to
set the two equations equal
as-x²-4x-3=2x+5. What is the next step?
Set y = 0 in y=-x2²-4x-3.
O Factor each side of the equation.
Use substitution to create a one-variable equation.
O Combine like terms onto one side of the equation
Answer: The first step in determining the solution to the system of equations algebraically is [-4,-2].
Step-by-step explanation:
Determining the solution to the system of equations,
so, y=-x²-4x-3 and y= 2x+5, algebraically is to set the two equations are equal to:
-x²-4x-3 =2x+5
Then the solve in this equation
To put all terms into the lest side of the equation and group the terms:
solve it: -x²-4x-3-2x-5=0
-x²+(-4x-2x)+(-3-5)=0
-x²-6x-8=0
now you can multiply this equation by -1
x²+6x+8=0
and solve it using Quadratic equation
x(1,2)=[-b±√[tex]b^{2}[/tex]-4ac]/2a
replace with a=1,b=6,c=8 values
x(1,2)=[-6±√[tex]6^{2}[/tex]-4.8.1]/2.1
x(1,2) =[-6±√4]/2
x(1,2) =[-6±2]/2
x(1,2) =[-4,-2]
The first step in determining the solution to the system of equations algebraically is [-4,-2].
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Evaluate 3x+4 for x=3
Answer: 31
Step-by-step explanation:
27 + 4
Please help me please I’m being timed
Answer:
point symmetry if no symmetry isn't an option as it looks grayed out and not clickable
Which statement correctly describes the graph of G(x) = -3f(x)?
A. The graph of g is the graph of f horizontally stretched by a scale factor of 3 and reflected over the x-axis
B. The graph of g is the graph of f horizontally stretched by a scale factor of 3 and replicated over the y-axis
C. The graph of g is the graph of f vertically stretched by a scale factor of 3 and reflected over the x-axis
D. The graph of g is the graph of f vertically stretched by a scale factor of 3 and reflected over the y-axis
Answer:
C is the correct choice.
Step-by-step explanation:
Here are the rules for vertical stretches and reflection
Given a function f(x), a new function [tex]g(x)= a \cdot f(x),[/tex] where a is a constant, is a vertical stretch or vertical compression of the function f(x).
Since the question use a multiplicative of -3, and -3 < 0 we get the correct choice as C: The graph of g is the graph of f vertically stretched by a scale factor of 3 and reflected over the x-axis
Bre'Aujanaye operates a flower shop in Paris. All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and
special events. Why type of organization does Bre'Aujanaye have?
The type of market in which all employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events is Oligopoly.
What is Oligopoly?An oligopoly is a market characterized by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.
Given situation:
All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events.
As, we know that A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector.
Oligopolies are frequently the outcome of corporate collaboration as a way to increase profits.
Some examples of oligopolies include the car industry, petrol retail, pharmaceutical industry, coffee shop retail, and airlines.
So, as discussed in the given case employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events to make some profit.
Hence, type of market is Oligopoly.
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Calculate the volume of the figure below in cubic feet.
Which rational number is positive
Heyy, if you can, please help!
Answer:
1.75
Step-by-step explanation:
np bisects MNQ, measurement MNQ, measurement MNP = (6X-12)° and measurement PNQ = (4x+8)°. find measurement MNQ
The Required answer is ∠MNQ is (10x - 4)°
Two unique points on a line define the boundaries of a line segment. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.
Given NP bisects MNQ as shown in the given figure
A line segment that bisects two lines divides them into two equal parts.
Given ∠MNP =( 6x - 12)°
Given ∠PNQ = (4x + 8)°
We have to determine ∠MNQ as
∠MNQ = ∠MNP + ∠PNQ
= 6x - 12 + 4x + 8
= 10x - 4
Therefore, the answer for the given question is ∠MNQ is (10x - 4)°
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Question
Translate to an equation and solve: Three-tenths of x is 15.
Greetings from Brasil...
know that three-tenths = 0.3
then
0.3X = 15
3X/10 = 15
X = 50suppose 3
(b/3a) - (a/3b)
-a²+3b²/3ab
Step-by-step explanation:
b/3a - a/3b
= -3a² + 3b²/3ab
=-a²+3b²/3ab
Suppose the price of a sweater is $10. Jaylen's marginal benefit for purchasing each additional sweater is given in the table below. He
gets the most benefit from the first sweater and less benefit from each additional sweater. If Jaylen is behaving rationally, how many
sweaters will he purchase?
1st sweater
2nd sweater
3rd sweater
4th sweater
5th sweater
6th sweater
50
35
30
23
12
8
The number of sweaters that Jaylen will purchase, based on his marginal benefit, is 5 sweaters.
What is marginal utility?Marginal utility or benefit is the added satisfaction that a consumer derives from the consumption of an additional unit of a product or service.
Using the concept of marginal utility, we can determine the number of units consumers will be willing to purchase.
The law of marginal utility states that a consumer will continue to purchase more of an item until their marginal benefit or utility is fewer than the cost of the item.
For instance, Jaylen will buy sweaters until his marginal benefit is lower than the price of a sweater ($10).
Jaylen is likely to buy 5 sweaters since his marginal benefit, though progressively reducing, still exceeds the price of the sweaters.
Data:Price per sweater = $10
Marginal Benefits
1st sweater 50
2nd sweater 35
3rd sweater 30
4th sweater 23
5th sweater 12
6th sweater 8
Thus, based on marginal utility, Jaylen will purchase 5 sweaters.
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What is the inverse function of this equation
Answer:
y=7x+8
then interchange x and y
x=7y+8
then
x-8=7y
y=X-8/7
Rewrite the fraction with a denominator of 30 for 4/5
Answer:
24/30
Step-by-step explanation:
5 goes into 30 6 times, so multiply 4 x 6= 24
Marvin has 4 books to read
for homework this week. If he
reads 2/3 of a book each
night, how many nights will it
take him to read all four
books? Please write an equation
EASY-ISH How to put 5x-2y=-4 in slope intercept form???
Answer:
Step-by-step explanation:
5x-2y=-4
-2y=-5x-4
y=5/2x+2
PLEASE HELP ME I AM SO CONFUSED!
Answer: The student is wrong because you have to figure out the area of each of the rectangles to find the total area. Add each of the areas to get your answer.
Step-by-step explanation:
Answer:
the total area is 1400
Step-by-step explanation:
The student is wrong. The shape's area can be calculated.
If you divide the shape into 3 separate rectangles horizontally
1st: area = 35 x 10 = 350
2nd area = 10 x 60 = 600
3rd area = (60 - 15) x 10 = 450
the total area is 350 + 600 + 450 = 1400
James owns a 36 hectares of a piece of land. 1/3 was for maize 2/9 hectares wheat and 4 hectares beans if 5/8 of remainder is homestead and rest for grazing. calculate the size of grazing land
Answer:
4.5 hectares
Explanation:
Maize=1/3x36=12Ha
Wheat=2/9x36=8Ha
Beans=4 Ha
=36-(12+8+4)
=36-24
=12Ha
Total remaining land=8/8=12
5/8=homestead
8/8-5/8=3/8
3/8=grazing land
=3/8x12
=4.5ha for grazing land
What is 4/6÷4/12?!?!
Answer:2
Step-by-step explanation:
Keep, Change, Flip...4/6 divided by 4/12 = 4/6 * 12/4 which equals 48/24 which when simplified equals 2.
4/6÷4/12 the answer is 2
EASY QUESTION 20 POINTS
Answer:
(c) (-30)⁴
Step-by-step explanation:
You want to simplify the product (-6)⁴×(5)⁴.
ExponentsAn exponent is an indicator of repeated multiplication:
(-6)⁴ = (-6)(-6)(-6)(-6) . . . . . . the factor -6 is repeated 4 times
(5)⁴ = (5)(5)(5)(5)
Then the product is ...
(-6)⁴ × (5)⁴ = (-6)(-6)(-6)(-6)(5)(5)(5)(5)
The commutative and associative properties of multiplication let you regroup this to ...
(-6)(5)×(-6)(5)×(-6)(5)×(-6)(5) = (-30)(-30)(-30)(-30)
Using the exponent to signify repeated multiplication, this can be written as the equivalent ...
(-30)⁴
__
Additional comment
This product has an even number of minus signs, so will be positive. It is fully equivalent to ...
30⁴.
Beth makes her own liquid cleaner. the recipe makes ⅔ gallons. Beth prefers to carry smaller bottles, so she puts cleaner in ⅛ gallon bottles. How man bottles can she fill from each batch?
A fraction is a way to describe a part of a whole. Beth will able to fill 5 complete bottles from a single batch of liquid cleaner.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that the recipe makes ⅔ gallons. Also, Beth puts cleaner in ⅛ gallon bottles. Therefore, we can write,
Total batch size = ⅔ gallons
Size of a bottle = ⅛ gallon
Now, the number of bottles that Beth will be able to feel from a single batch of liquid cleaner is,
Number of bottles = Total batch size / Size of a bottle
= ⅔ gallons / ⅛ gallon
= (2×8) / (3×1)
= 16 / 3
= 5.3333 ≈ 5
Therefore, Beth will able to fill 5 complete bottles from a single batch of liquid cleaner.
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18. Solve the following equation. (1 point)
96 = -6(-4-3y)
Oy = 2
Oy = 4
Oy = -2
Oy = -4
2. At a grocery store, cartons of eggs cost $2.19 each. Identify three points on the graph representing the relationship between the number of cartons purchased and the total cost.
Answer= 0
Step-by-step explanation:
745.5×101 i really need help
Answer: 75295.5
Step-by-step explanation:
Answer: 75255.1
Step-by-step explanation: 745.1×101
Multiply 745.1 and 101 to get 75255.1.
FACTOR
[tex]\frac{101.7541}{2.5}[/tex]=75255[tex]\frac{1}{10}[/tex]=75255.1
40 scaled to a factor of 0.25
Based on the number being scaled and the scale factor, the value of 40 when scaled to a factor of 0.25 is 10.
How to scale a quantity?When a mathematical problem is given that requires that you scale a certain number by a certain scale factor, you scale that number by multiplying the number by the scale factor.
In this case, the number is 40 and the scale factor is 0.25. When the number is scaled by a factor of 0.25 therefore, we get:
= Number x Scale factor
= 40 x 0.25
= 10
In conclusion, 40 scaled to factor of 0.25 is 10.
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