What can you say about the y-values of the two functions f(x)=-5^x+2 and g(x) =-5x^2+2
Answers
g(X) has the larger possible y value and the maximum y value of f(X) approaches at 2
The complete question includes Options
Check all that apply.
A. g(X) has the larger possible y value
B. The maximum y value of f(X) approaches at 2
C. f(X) and g(X) have equivalent maximum values.
D. f(X) has the largest possible value
What is a Function ?A function is a mathematical statement which relates a dependent variable to an independent variable.
It is given in the question to compare the values of y
\(\rm f(x) = -5^x +2\\\\g(x) = -5x^2 +2\)
f(x) is exponential function and g(x) is a quadratic function
Now, if we evaluate g(x) in x = 0,
the maximum value of y is
y = 2
For the exponential function, the first term becomes zero at the limit of x--> -∞ hence the maximum tends to be 2.
Therefore both Option A and B is correct.
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Related Questions
what is 2.75 as a fraction
Answers
Answer:
As a fraction 2.75 is 2 3/4 (11/4)
Hope this helped :)
Answer:
2 3/4 or 11/4
Step-by-step explanation:
2 = 2
0.75 = 3/4
Therefore 2.75 = 2 3/4
If you want an improper fraction then you'd get 11/4
What is the following sum?
4V5+2V5
Answers
Answer:
Combine 4v_{5} and 2v_{5} to get 6v_{5}.
What is the solution 5x-15=-25
Answers
Answer:
x= -2
Step-by-step explanation:
MARK AS BRAINLIEST!!
Answer: -2
Step-by-step explanation: -2 times 5 is -10. -10-15=-25
what is the formula for this seqyence 5,10,20,40,80
Answers
Answer:
2x
Step-by-step explanation:
5, 10, 20, 40, 80
each step is multiplying by 2, therefore the sequence is 2x
List the elements in order from the least mass to greatest mass per atom.
Answers
The elements in order of greatest mass are hydrogen, carbon, oxygen, silver, and gold.
What is the mass in order from smallest to largest?List the elements in ascending order of mass per atom, from least to most.) of Element Weight per atom Carbon 1.995 X 10-23 0 Gold 3.272 X 10-22 0 Hydrogen 1.674 X 10-24 6 2.658 x 10-23 6 oxygen Silver 1.792 X 10-22 0
Scientific notation is used to write the mass. Large numbers are expressed in smaller quantities using scientific notation.
For instance:
1 x 10-2 equals 0.01 in decimal form.The value of 5 x 10-3 is equal to 0.001.The elements in order of greatest mass are hydrogen, carbon, oxygen, silver, and gold.
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145 miles on 6 gallons of gas rate and unit rate plz
Answers
Answer:
24.166667 miles per gallon
Step-by-step explanation:
thats what got
Find A when =$275 , R=0,09 and T=4 in the formula A=prt
Answers
A = $275 x $0.09 x $4
A = $99
Answer:
A = $99
Step-by-step explanation:
Substitute the values for the variables and multiply them together.
\(A=prt\\A=(275)(0.09)(4)\\A=99\)
Ms. Dawson's call did a science experiment. The class started out with 635 bacteria cells. The growth rate
predicted was 5.15%. Sketch the graph that represents the situation. Label the y-intercept and the point that
represents the projected bacteria population 23 h from the start of the experiment. Be sure to show your work
on how you obtained your second value. Round to the nearest whole number.
Answers
The exponential function obtained from the table is represented by the formula y is 650(1.045)x.
Exponential operation?A function with the exponential shape is:
y = abˣ
where an is y's initial value, b are multipliers, and y and x are variables.
The bacterial population at x hours should be represented by y.
With 650 bacteria cells at the beginning, the group.
a = 650
4.5% is the growth rate.
b = 100% + 4.5% = 104.5% = 1.045
The exponential function obtained from the table is represented by the formula y = 650(1.045)x.
The exponential function obtained from the table is represented by the formula y is 650(1.045)x.
Thirty hours later:
y = 650(1.045)³⁰ = 2434.
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The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.
What was the average temperature measured by the 3 thermometers?
Answers
Answer:
-15 ÷ 3 = -5
Step-by-step explanation:
If 3 thermometers totaled -15, then they share that value equally.
Please need answer 17.
Answers
Answer:
sec(θ) = √10/3tan(θ) = 1/3Step-by-step explanation:
You want the tangent and secant of the angle θ the line x-3y=0 makes with the negative x-axis.
Trig functionsThe relations between the angle and its trig functions are ...
Tan = Opposite/Adjacent
Sec = Hypotenuse/Adjacent
Unit circleWe have shown the angle of interest in a unit circle with the "adjacent" side equal to the radius of the circle (1). Then the values of interest are ...
tan(θ) = opposite side = 1/3 . . . . . . . equal to the slope of the line
sec(θ) = hypotenuse = √(1 +(1/3)²) = √(10/9) = (√10)/3
The tangent is 1/3; the secant is (√10)/3.
__
Additional comment
A third-quadrant angle measured from the +x axis has a negative secant. The tangent is positive there.
Since this angle is measured from the -x axis, it isn't clear whether it is supposed to be considered a 3rd-quadrant angle or not. For the given acute angle θ shown, the trig functions are both positive. YMMV
What is the complement to an angle that measures (6x+15)°
Answers
Answer:
(75 - 6x)°
Step-by-step explanation:
Measure of complement of (6x+15)° = 90° - (6x+15)°
= (90 - 6x - 15)°
= (75 - 6x)°
Which equation is correct for the circle shown on the graph?
(x+3)²+ (y-6)² = 4
(x-3)² + (y+6)² = 4
(x+3)² + (y-6)² = 2
(x-3)² + (y-6)² = 4
Answers
Option 2 is the correct answer, that is, the equation of the given circle is (x+3)² + (y - 6)² = 4 with center at (-3,6) and radius 2.
What is a distance formula?The distance formula is a mathematical formula used to determine the distance between two points in a coordinate plane. It is derived from the Pythagorean theorem as:
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
where (x₁, y₁) and (x₂, y₂) are the x and y coordinates of the said two points. This formula works for any two points in a two-dimensional space with a Cartesian coordinate system.
To answer this we need to know the equation of a circle.
Let (a,b) be the center of a circle with radius r, then the equation of the circle can be written as:
(x - a)² + (y - b)² = r²
We see that from the given graph center of the circle is the point (-3,6) and radius will be 2.
We can now substitute these information in the circle equation,
(x - -3)² + (y - 6)² = 2²
(x+3)² + (y - 6)² = 4
That is the equation of the given circle is (x+3)² + (y - 6)² = 4.
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30% of a of kittens are male. If 3 kittens are male, how many kittens are in the litter?
Answers
\(\large\bf{\underline{Given:}}\)
30%of kitten are male 3 kitten are male__________________________________________
\(\large\bf{\underline{To\:find:}}\)
Total number of kitten in the litter\(\bf{Let\:the\:total\:no.\:of\: kitten\:x}\)
__________________________________________
\(\large\bf{\underline{Therefore}}\)
\(\bf{⟹30\%\:of\:x=3}\)
\(\bf{⟹\frac{30}{100}\times x= 3}\)
\(\bf{⟹x= 3\times \frac{100}{30}}\)
\(\bf{⟹x=10}\)
__________________________________________
\(\large\bf{\underline{Hence}}\)
\(\bf{There\:are\:10\: kittens\:in\:the\: litter}\)
One side of a triangle is 8 feet longer than the second side. The third side is 4 feet longer than the second side. The perimeter of a triangle is 36 feet. Find the length of each side.
Answers
Answer:
The second side is 8.
The third side is 12.
The last side is 16.
Step-by-step explanation:
The third side is 12 because it is 8+4. Given these facts, it is 20 feet so far. And the last side of the triangle is 16, for it is 8+8. So, 16+20 is 36. Hope thsi helped.
The circle below is centered at the point (4, 1) and has a radius of length 2.
What is its equation?
10
A. (x-4)² + (v-1)2 = 4
B. (x-1)2 + (v-4)2 = 4
C. (x + 1)2 + (v-4)² =
22
D. (x+4)2 + (y- 1)²2 = 4
Answers
Answer:
A
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (4, 1 ) and r = 2 , then
(x - 4)² + (y - 1)² = 2² , that is
(x - 4)² + (y - 1)² = 4 ← equation of circle
The students in Mrs. Barnett's first-grade class sit down in a circle for show-and-tell. The circle they form has a diameter of 4 meters. What is the circle's radius?
Answers
Answer:
Step-by-step explanation:
If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.
A large lemonade container at a party holds 9 liters of lemonade. About how many gallons of lemonade does the container hold? ( 1 liter=0.264 gallon )
Answers
it will be 2.4 gallons
i dont understand plz help
plz i am timed i have 8 mins left plz help me
Answers
Answer: the answer is a
I NEED HELP WITH STATISTICS
Answers
A. The null hypothesis H₀ and the alternative hypothesis H₁ are:
H₀: μ = 35 minutes H₁: μ > 35 minutes
B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.
C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.
What is a Type II error?A Type II error occurs when the null hypothesis is false, but the test does not reject it.
In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.
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Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
They are not perpendicular because their slopes
are equal.
They are not perpendicular because their slopes
are not negative reciprocals.
Answers
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
84.4% of what number is 19.412?
Answers
Answer: 22.4402
Step-by-step explanation:
Answer:
84.4% of 23 is 19.412.
Step-by-step explanation:
Let the unknown number be x.
Now, 84.4% of x = 19.412.
∴ (84.4 ÷ 100) × x = 19.412.
By simplifying the equation,
x = (19.412 × 100) ÷ 84.4
x = 1941.2 ÷ 84.4
∴ x = 23
Thus, 84.4% of 23 is 19.412.
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Help with all these? pls
Answers
1. 76.56.
2. 96
3. The largest solution to the equation x²+16x+28=138 is 6.71.
4. The smallest solution to the equation x²+14x+14=145 is 5.96.
What is an equation?Equations are used to express relationships between variables and solve mathematical problems.
1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.
2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.
3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).
4. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).
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1. For the given equation, c need to be 90.25 to complete the square.
2. 225
3. The largest solution to the equation x²+16x+28=138 is 6.
4. The smallest solution to the equation x²+14x+14=145 is -14.
What is an equation?Equations are used to express relationships between variables and solve mathematical problems.
1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result
(19/2)² = 90.25.
2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result
(30/2)² = 225.
3. The largest solution to the equation x²+16x+28=138 is 6.
This can be calculated by using the quadratic formula to solve the equation.
(a=1, b=16, c=28)
x = -8 ± √((16)² - 4(1)(28))/2(1).
x = -8 ± √(240)/2
x = 6 or -14.
Since 6 is the larger solution, it is the largest solution to the equation.
4. The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.
a=1, b=14, and c=14
x = [-14 ± √(142-4(1)(14))]/(2(1))
x = [-14 ± √(196)]/2
x = [-28/2] or [14/2]
x = -14 or 7
Therefore, the smallest solution for x2+14x+14=145 is x=-14.
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The low temperature on a certain day is 51°F. The low temperature is 17°F lower than the high temperature, h.
Which equation can be used to find the high temperature for that day?
51 = 17h
51 = h + 17
51=h−17
h + 51 = 17
Answers
You’re trying to find a certain high temperature. You know that the low is 51°, which is 17° lower than the high temperature(h). With this information, you can find that h=68 (51+17). To get from 68° to 51°, you would subtract 17°. Making the equation 51=h-17.
Answer:
c. 51=h−17
Step-by-step explanation:
the other ones dont make since and C is the only one that does.
Walmart was having a sale on video games. They offered a 15% discount on a game that was originally priced at $30. After the sale, the discounted price of the game was increased by 10%. What is the new price of the game after this increase?
Answers
Answer:
28.05$
Step-by-step explanation:
The game got a discount of 15%.
New price is (30$) ( 0.85 ) = 25.5$ (since the discount is 15% you only pay for the 85% of the original price)
Then an increase of 10%. this is:
New price: 25.5$ (1.10) = 28.05
New price is 28$ with 5 cents
2
Find the area of the figure shown below and ch
14 mm
9 mm
3 mm
10 mm
Answers
Answer:
3780mm^2
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints: (6, -5) and (2, 1) *
Answers
Sum of x: 6 + 2 = 8/2 = 4
Sum of y: -5 + 1 = -4/2 = -2
The mid point is (4,-2)
Name a manufactured product that you use regularly.
Answers
Answer:
dollhouse.
Step-by-step explanation:
The entire house is constructed of plastic
A man goes 10m North and turns left and covers 6m. He again turns left and walks 5m. Which direction is he in from starting point?
Answers
The man is in the south direction from the starting point.
Let's visualize the movements of the man step by step:
The man starts by going 10 meters north.
He then turns left (which means he is now facing west) and covers 6 meters in that direction.
Next, he turns left again (which means he is now facing south) and walks 5 meters.
To determine the final direction of the man from the starting point, we can consider the net effect of his movements.
Starting from the north, he moved 10 meters in that direction. Then, he turned left twice, which corresponds to a 180-degree turn, effectively changing his direction by 180 degrees.
Since he initially faced north and then made a 180-degree turn, he is now facing south. Therefore, the direction he is in from the starting point is "south."
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HELPPPP HELP HELP HELP HELPPPPPPPPPP
Answers
Answer:
x = -7
Step-by-step explanation:
Use the distibutive property on both side:
Right side:
4 ( 1 - x )
( 4 x 1 ) + 4 x -X )
4 - 4x
Left side:
-3 ( x + 1 )
( -3 x X ) + ( -3 x 1 )
-3x -3
4 - 4x + 2x = -3x - 3
Combine like terms:
( 2x + ( -4x ) ) + 4 = -3x - 3
-2x + 4 = -3x - 3
Add 3 to each side:
-2x + 7 = -3x
add 2x to each side:
7 = -x
Divide each side by -1:
-7 = x
Congruence question will give brainliest
Answers
Answer:
A
Step-by-step explanation: