Which of the following are true about the graph of f(x)=−4x2?
Select the TWO that apply.
Answers
the answer is A and D
when you differentiate the question you find that the maximum point is (0,0)i.e
[tex] \frac{dy}{dx} = - 8x[/tex]
when dy/dx is 0 values of x are 0,0
and the function shows that valies of x are real numbers.
The domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
Given function as
f(x) = -4x²
The range is the set of values that correspond with the domain.
Range: (−∞,0], {y|y≤0}
Domain: (−∞,∞), {x|x∈R}
and the function shows that values of x are real numbers.
The maximum point is when differentiating the function, which is (0,0) i.e
dy/dx = -8x
Values of x are 0 when dy/dx is 0.
Hence, the domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)
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Related Questions
AB¯¯¯¯¯is a radius. CD←→is tangent to circle A at point B, where AB=7 and EC=18. What is BC?
Circle with center point A. Radius AB is drawn. Tangent line CD is drawn and intersects the circle at point B. Segment AC is drawn from the center point A through point E on the circle to point C on line CD. The lengths of segments are not provided.
BC =
Answers
Answer:
BC is 24 units
Step-by-step explanation:
Given that: AB = 7 units
EC = 18 units
From a sketch for the question, we have a triangle ABC. Such that:
AC = AE + EC
But,
AE = AB = 7 (radius of the circle)
So that,
AC = 7 + 18
= 25 units
Applying Pythagoras theorem to triangle ABC, we have:
[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]25^{2}[/tex] = [tex]7^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]/BC/^{2}[/tex] = 625 - 49
= 576
BC = [tex]\sqrt{576}[/tex]
= 24
Thus, BC is 24 units.
What is the mistake??
Answers
There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number
Answer:
The mistake was converting the expresssion
Step-by-step explanation:
1. Jebrel borrowed $7000 from his friend. He saves $110 each month to pay
him back
a. How much will he have paid off at the beginning of the 1st, 2nd, 3rd, 4th and 5th
months? (Should this chart start with zero or 1)
b. Make a graph to represent the pattern from part a.
Answers
Answer 63
Step-by-step explanation:
it will take around 63 months
Answer:
1. 6890
2. 6790
3. 6670
4. 6560
5. 6450
Step-by-step explanation:
twice a number plus 4 is 8
Answers
Answer:
2
Step-by-step explanation:
Answer:
2 x 2 = 4 + 4 = 8
the number is 2
Please help me! I’m so confused!! I will give BRAINLIEST :)
A coat hanger is in the shape of isosceles triangle ABC shown in the figure. Sides AB and BC are congruent.
If angle BAC = 22 degrees the angle ABC = ?
Answers
Answer:
136 degrees
Step-by-step explanation:
if BAC is 22 degrees, than BCA is also 22 degrees. together that's 44 degrees. triangles are 180 degrees in total so 180 - 44 is 136
Answer:
Angle ABC is equal to 136 degrees.
Step-by-step explanation:
Since sides AB and BC are congruent (meaning they are equal to each other), they will have the same angle measurement. So, angle BAC and angle BCA will both have a measure of 22 degrees.
Triangles always add up to 180 degrees, so add 22 and 22 together, and subtract from 180. This leaves you with 136 degrees for angle ABC.
136 + 22 + 22 = 180, so this works!
I hope this helps!
Given; D is the Midpoint of CE / Prove DE =1/2CE
Answers
Answer:
Check explanation
Step-by-step explanation:
Here, we want to make a prove;
Mathematically , since D is the midpoint of CE
Then;
CE = CD + DE
Also, since D splits the line segment into two equal parts as the midpoint, then CD must be equal to DE
I.e CD = DE
Hence, we can express CE as follows;
CE = DE + DE
CE = 2 DE
Divide both sides by 2
CE/2 = DE
Hence; DE = 1/2 CE
Cameron has 54 balls. He wants to put the same number of balls into each 9 buckets. Witch multiplication equation shows a way to represent the number of balls that should go in the bucket. 1. 9 x _ = 54 2. 9 x 54 = _ 3. 54 x _ = 9 4 . 9 x 9 = _
Answers
1. Solve 3x^2+7=31 using square roots.
2. Solve x^2-12x=45 by factoring
3. Find the zeros of f(x)=6x^2+9x-6
Answers
Answer:
holaaaaaaaa q tallllll
Simplify the expression 5(3x - 7 + 4y)
Answers
Answer:
15x - 35 + 20y
Step-by-step explanation:
Simplify. Distribute 5 to all terms within the parenthesis:
5(3x - 7 + 4y) =
5 * 3x = 15x
5 * -7 = -35
5 * 4y = 20y
15x - 35 + 20y is your answer.
~
A sales associate at a computer electronics store
is given a choice of two different salary plans.
One plan pays a weekly salary of $180 with a
commission of $30 for every computer sold. The
other plan pays no salary but offers $75
commission on each computer sold. How many
computers must the sales associate sale to make
the same amount of money under both plans?
Answers
Answer:
the sales associate has to sell 4 computers to make the same amount of money under both plans
Step-by-step explanation:
y=money
x=computers sold
Plan 1: y=30x+180
Plan 2: y=75x
75x=30x+180
45x=180
x=4
Which expression is equivalent to 4^5x4^-2
Answers
Answer:
4^3
Step-by-step explanation:
When you are multiplying exponents with the same base (for this problem the base is 4) you add together the exponents. It is kinda hard to explain but that is just a rule you can use. So, 4^(5+(-2))=4^3
3x + 2y = 6 is an equation in standard form.
The value of y when x is 0 is
.
The value of x when y is 0 is
.
Answers
Answer:
The value of y when x is 0 is
3
The value of x when y is 0 is
2
Step-by-step explanation it correct on Edge
Answer:
The first one is 3 and the second one is 2
Step-by-step explanation:
Just took it
I'll give brainliest to whoever answers this
Answers
Answer:
I think it's 15 but I'm not so sure
Step-by-step explanation:
Write in index form using powers of 10
1
Answers
Answer:
In standard index form a number is written firstly with a sign (if negative) followed ... by a power1 of 10. Powers of 10. Non-negative powers of 10. 100. 1. 101. 10.
Step-by-step explanation:i hope it helps
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent. Is the cost of gas greater in Buffalo or in Toronto? How much greater?
Answers
Answer:
-To find the cost of one gallon of gas in Toronto, you have to multiply the cost of one liter of gasoline for 3.8 as you know that there are 3.8 liters in one gallon:
$0.91*3.8=$3.46
This means that a gallon of gas cost $3.46 in Toronto.
-$3.46-$2.29=$1.17
Considering that one gallon of gasoline cost $2.29 in Buffalo and $3.46 in Toronto, the cost is greater in Buffalo. The cost is greater by $1.17.
A drivers distance varies directly as the amount of time traveled. After 6 hours, a driver had traveled 390 miles. How far had the driver traveled after 4 hours?
Answers
The distance traveled after 4 hours is 260 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 = 9 is an equation.
We have,
Distance ∝ Time
Distance = K x Time
Now,
390 = 6K
K = 390/6
K = 65
Now,
Distance = 65 x 4
Distance = 260 miles
Thus,
After 4 hours the distance traveled is 260 miles.
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2(3x - 5) < 4X
Solve the inequality
Answers
Answer:
5 > x
Step-by-step explanation:
2(3x - 5) < 4x
~Distribute left side
6x - 10 < 4x
~Subtract 6x to both sides
-10 < -2x
~Divide -2 to both sides
5 > x
Best of Luck!
what is x and y shown in the photo above?
Answers
Answer:
[tex]\huge\boxed{x = 11,\ y = 3}}[/tex]
Step-by-step explanation:
In order to find the value of x and y in this, we have to note a couple of angle relationships.
We know that angles [tex]13x-19[/tex] and [tex]9x+25[/tex] are the same because they are corresponding angles. This means that when a line intersects two parallel lines, the angles formed are congruent to the second line.
This means both expressions for the line will be equal to each other:
[tex]13x-19 = 9x+25[/tex]
We can now solve for x.
Add 19 to both sides:
[tex]13x = 9x+44[/tex]
Subtract 9x from both sides:
[tex]4x=44[/tex]
Divide both sides by 4:
[tex]x=11[/tex]
Now that we know that x = 11, we can use another angle relationship to find y.
We know that [tex]13x-19[/tex] and [tex]17y+5[/tex] are supplementary angles. This means their angle measurements add up to 180°.
Since we know the value of x, we can find the measure of the angle [tex]13x-19[/tex].
[tex]13(11) -19\\\\143-19\\\\124[/tex]
So the [tex]13x-19[/tex] angle is equal to 124 degrees. Since this and [tex]17y+5[/tex] are supplementary, that means [tex]17y+5[/tex] must be equal to [tex]180-124=56[/tex] degrees.
[tex]17y+5=56[/tex]
Subtract 5 from both sides:
[tex]17y=51[/tex]
Divide both sides by 17:
[tex]y=3[/tex]
So, x = 11 and y = 3.
Hope this helped!
Answer:
Y=3
X=11
Step-by-step explanation:
9x + 25 is = to 13x - 19 so you would do exactly that.
9x + 25 = 13x -19
-9x -9x
25 = 4x -19
+19 +19
44 = 4x
4 4
11 = x
9*11+25= 124
And 124 is not equal to 17y+5 so the equation would be
124 + 17y +5 = 180
124 + 5 = 130
129 + 17y = 180
-129 -129
17y = 51
17 17
Y= 3
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,8), which equation should be use to find the y-intercept and what is the y-intercept of the line?
Answers
Answer:
y = 4x + 4
Step-by-step explanation:
Plug in your x and y coordinates
8 = 4(1) + b
8 = 4 + b get your constants together by subtracting 4 from both sides
4 = b
Hope this helps
Which statement is true about milliliters and liters?
There are 30 milliliters in 3 liters.
There are 300 milliliters in 3 liters.
There are 3,000 milliliters in 3 liters.
There are 3,000 liters in 3 milliliters.
Answers
Answer: Choice C) There are 3000 milliliters in 3 liters
mL is the abbreviation for milliliters
L is the abbreviation for liters
Since 1000 mL = 1 L, we can multiply both sides by 3 to get 3000 mL = 3 L
a) The temperature in the morning was - 12º.
How many degrees warmer is - 9°?
Answers
Answer:
-3
Step-by-step explanation:
Kate has a 15% mistake in a 60-item test. How many mistake does Kate have in test
Answers
Answer: 9 mistakes
Work Shown:
15% = 15/100 = 0.15
15% of 60 = 0.15*60 = 9
Answer:9
Step-by-step explanation:
a marathon runner travels 5/2 miles in 1/4 hour. what is the runners unit rate?
Answers
Answer: 2/5
Step-by-step explanation:
Multiply and do math
six years from now, mark we'll be four times his age today. what is correct equation in terms of Marc's present age A.x+6=4×B.x=4×+6C.4×=×-6D.x=x+4x
Answers
Answer: A
Step-by-step explanation: I'm in college. This is middle school math lol
r+ 4f when r=-6 and f=-5
Answers
Answer:
-26.
Step-by-step explanation:
Substitute the numbers and letters like this
-6 + (-5 x 4)
Which would evaluate to -6 + -20
And since it's the same sign, you can make it -6 - 20.
That equals -26.
Which two integers is 115 between?
Answers
Answer:
115 is between 114 and 116 because they are the integers that are directly bigger than 115 and smaller than 115.
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton? 8,000 ounces on the model is equal to ounces on the actual bridge. Convert ounces to pounds. The actual bridge can hold pounds. Therefore, the bridge hold 1 ton.
Answers
Answer:
The bridge can hold 1 ton
Step-by-step explanation:
Given that :
Model of bridge built is exactly 4 times smaller than actual bridge
Model bridge : actual bridge
1 : 4
From test,
Model bridge can hold 8000 ounces
Since actual bridge is 4 times the model bridge,;
Then, actual bridge should hold (8000 * 4) ounces = 32000 ounces
16 ounces = 1 pound
2000 pound = 1 ton
Hence,
32,000 ounces = (32000 / 16) pounds = 2000 pounds
Hence,
2000 pounds = 1 ton
Answer: 1 ton
Step-by-step explanation:
I need help?? Not sure what I'm supposed to do here-
Answers
-6(-5x-1) = 5x+20
WHAT DOES X EQUAL??
Answers
Step-by-step explanation:
30x +6= 5x+20
30x -5x=20-6
25x=14
25x÷25=14÷25
x=0.56
Maria and jamal each have gardens. The area of Maria's garden is represented by the expression 8x^2 - 3x. Jamal's garden is a rectangular plot with the width and length represented by the expressions 3x and 4x-2. Which expressions give how much bigger or smaller Jamal's garden is compared to Jessica's? Check all that apply. 4x^2-9x -4x^2+3x 4x^2-3x 12x^2-6x-8x^2-3x 12x^2-6x-8x^2+3x
Answers
Answer:
4x^2 - 2x
Step-by-step explanation:
Area of Maria's garden = 8x^2 - 4x
Jamal's garden
Width = 3x
Length = 4x - 2
Area of Jamal's garden = length × width
= (4x - 2) (3x)
= 12x^2 - 6x
Difference in area of Jamal's garden and Maria's garden
Jamal's garden - Maria's garden
(12x^2 - 6x) - (8x^2 - 4x)
12x^2 - 6x - 8x^2 + 4x
4x^2 - 2x
The difference is the areas of their garden is 4x^2 - 2x