Answer:
-4
Step-by-step explanation:
Given the following function:
f(x) = -4x + 6
We have to find the difference quotient of f(x); that is,
[f(x + h) - f(x)]/h
So, we ned to compute f(x + h) as follows:
f(x+h) = -4(x+h) + 6 = -4x - 4h + 6
Replacing into the difference quotient, we get:
[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h
[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h
[f(x + h) - f(x)]/h = [- 4h)]/h
[f(x + h) - f(x)]/h = -4
If a fair die is rolled four times, which of the following is closest to the probability that at least one
roll will show the number 4?*
1) 17%
2) 67%
3) 52%
4) 36%
Answer:
Answer is 67%
Step-by-step explanation:
If you want to get the number four from 4 rolls the chances would be
1st roll = 1/6 (16.667%)
2nd roll = 2/6 (33.333%)
3rd roll = 3/6 (50.000%)
4th roll = 4/6 (66.667%)
So the answer is 67%
Identify an equation in point-slope form for the line parallel to y -
passes through (4.-5).
*+ 8 that
O A. y-5--3(x+4
O B. y-t-ix+5)
O C. y+5=(x-4)
O D. y-5--3(x-4)
SUBMIT
Helppp
Ronald throws a football at an intial velocity of 20 ft per sec. He releases the ball at a height of 5 feet.
1) What is the height of the football at time 2.25 seconds?
2) When does this football reach the highest point of its flight?
3) When does this football hit the ground?
Answer:
1) the football already reached the ground
2) t = 0.625 seconds
3) t = 1.46 seconds
Step-by-step explanation:
Data
initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²1) time, t = 2.25 s
To relate these variables we need to use the next equation:
H = Hi + Vi*t - 1/2*g*t²
H = 5 + 20*2.25 - 1/2*32*2.25²
H = -31 ft
that is, 31 ft under the line of reference. This means that the football already reached the ground
2) At the highest point the final velocity (Vf) is zero.
To relate these variables we need to use the next equation:
Vf = Vi - g*t = 0
Vi = g*t
t = Vi/g
t = 20/32
t = 0.625 s
3) When the football hits the ground, ΔH = -5 ft. Then:
ΔH = Vi*t - 1/2*g*t²
-5 = 20*t - 1/2*32*t²
0 = -16t² + 20t + 5
Using quadratic formula:
[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]
[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]
[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]
[tex] t_1 = -0.21 [/tex]
[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]
[tex] t_2 =1.46 [/tex]
The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds
if 5800 people buy something that's 0.25 cents how much money would be made
Answer:
1450
Step-by-step explanation:
Take the amount of people times the dollar amount
5800 * .25 =1450
find f(3) for f(x)=3^x+3
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 3^(3) + 3
f(3) = 27 + 3
f(3) = 30
Which situation results in a final value of zero ?
a. The temperature after a decrease of 5 degrees from a temperature of -5 degrees .
b. The height of an airplane after taking off from ground level and rising 1,000 feet.
c.The amount of money received in change after making a $10 purchase with a $20 bill.
d. The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level.
Answer:
d
Step-by-step explanation:
because what is 24 meters- 24meters=0
CN someone help me please
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )
h = [tex]\sqrt{58}[/tex] → B
Answer:
It's probably B
Step-by-step explanation:
you use the pythagorean theorm
a^2+b^2=c^2
3^2+7^2=c^2
9+49+=c^2
[tex]\sqrt{58}[/tex]=[tex]\sqrt{c^2}[/tex]
[tex]\sqrt{58}\\[/tex]=c
Use the distributive property to factor out y.
5y-3y + 12
The new expression becomes
O By+ 12
0-2y+ 12
0 2y+ 12
O 147
________________________________
5y-3y+12
=2y+12
So the new expression becomes 2y+12
hope it helps
Good luck on your assignment
________________________________
Answer:
2y+12
Step-by-step explanation:
Compare the given dimensions of four triangles. Which triangle is possible to construct?
side lengths of 6 m, 8 m, and 9 m
side lengths of 4 m, 5 m, and 12 m
side lengths of 2 m, 5 m, and 8 m
side lengths of 4 m, 7m, and 13 m
The triangle with side lengths of 6 m, 8 m, and 9 m is possible to construct.
What is the condition to construct a triangle with given dimensions?
In a triangle, the sum of the two smaller sides must be greater than the larger side of the triangle. If this condition satisfies, then the triangle could be possible to construct.
Given,
1. A triangle with side lengths of 6 m, 8 m, and 9 m. Here, (6 + 8) > 9. Therefore, the triangle is possible to construct.
2. A triangle with side lengths of 4 m, 5 m, and 12 m. Here, (4 + 5) < 12. Therefore, the triangle is not possible to construct.
3. A triangle with side lengths of 2 m, 5 m, and 8 m. Here, (2 + 5) < 8. Therefore, the triangle is not possible to construct.
4. A triangle with side lengths of 4 m, 7 m, and 13 m. Here, (4 + 7) < 13. Therefore, the triangle is not possible to construct.
Learn more about the condition to construct a triangle here: https://brainly.com/question/1299079
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In science class, Scott estimates the mass of a sample to be 109 grams. The actual mass of
the sample is 104 grams. Find the percent error of Scott's estimate. Round your answer to
the nearest tenth.
Answer:
Percent of error = 4.80% (Approx)
Step-by-step explanation:
Given:
Mass of sample = 109 gram
Actual mass of sample = 104 gram
Find:
Percent of error.
Computation:
Error = Mass of sample - Actual mass of sample
Error = 109 gram - 104 gram
Error =5 gram
Percent of error = (Error / Actual mass of sample)100
Percent of error = (5 / 104)100
Percent of error = 4.80% (Approx)
Which phrase describes a model in science?
a structure that is always built to be an exact copy of an object
a structure that is used to represent a complex system
several structures that always represent different things
something that is unique and does not imitate an object
The correct answer is B. A structure that is used to represent a complex system
Explanation:
A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"
Answer:
B. a structure that is used to represent a complex system
Step-by-step explanation:
just did the quiz on ed
Need help with #12 pls explain
Which statistic can not be determined from a box plot representing the scores on a math test?
the median score
the lowest score
the score that occurs most frequently
the highest score
Answer:
the score that occurs most frequently
Statistics can not be determined from a box plot representing the scores on a math test is the score that occurs most frequently.
Definition of Box plot:It displays the five-number summary of a set of data.
The five-number summary is
minimum scorefirst quartile median score third quartilemaximum scoreIn a box plot, we draw a box from the first quartile to the third quartile.
A vertical line goes through the box at the median.
Therefore, the score that occurs most frequently is the correct answer.
To know more about box plot, refer,
https://brainly.com/question/1523909
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Meg and Kevin wanted to solve this problem: In 6 hours, Hank the Hiker hiked 24 miles. At that rate, how far can he hike in 9 hours? Meg claimed she could solve the problem by finding Hank’s unit rate of speed in miles per hour. She began by writing the equation: . Explain whether or not she can find the unit rate this way. Then find the unit rate and use it to solve the problem. Show all your work.
Answer: Hank hike 36 miles in 9 h.
6 hours for 24 miles
9 hours for x miles
[tex]Hank_{rate} =24/6=4\;mi/h[/tex]
[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]
Can someone help me please?
Answer:
8 degrees
Step-by-step explanation:
Hope this helps!
Answer:
8 Degrees
Have a nice day!
The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.
Set up the system of equations and solve for how old Jan and George are now.
Answer:
J - Age of Jan
G - Age of George
J + G = 65
J+10 = 4(G+10)
Step-by-step explanation:
Pls help for the love of yeetus deleteus
Answer:
C 6 yd by 7 yb
Step-by-step explanation:
Answer: De ansa is A m African sista.
Step-by-step explanation:
AB and BC are perpendicular lines find the value of x.
If you know the other please help i, will mark as branliest
Answer:
X=42
Step-by-step explanation:
AB and BC make a right angle
So, 24°+x+24° =90°
48°+x=90°
X=90°-48°
X=42
______________________________
Answers:a. 42 degree.
b.i. q=135 degree( being vertically opposite angles)
j=135 degree( being corresponding angles)
b.ii. 225
Step by step explanation:a. 24+X+24=90[ sum of complementary angles]
or, 48+X=90
or,X= 90-48
X=42 degree
b.i. q=135 degree( being vertically opposite angles)
Vertically angles are always equal to each other.
j=135 degree( being corresponding angles)
Corresponding angles are always equal to each other.
b.ii. p+135=180[ sum of angle in straight line]
or,p= 180-135
p=45 degree.
q= 135 degree[ being vertically opposite angles]
r=p[being vertically opposite angles]
r=45 degree
Now,
p+q+r
= 45+135+45
=225 degree
Hope it helps
Good luck on your assignment
__________________________________
Choose the equation for the graph
below.
x+1
x-2
2x-3
a. y =
b.y =
X-4
3-X
c. y =
x+2
d.y=
e. y =
2x+4
x-1
x+4
Answer:
B. y=(2x-3)/(x-4)
Step-by-step explanation:
Find the asymptotes.
Vertical Asymptotes:
x = 4
Horizontal Asymptotes:
y = 2
No Oblique Asymptotes.
The graph.
The simple interest on a principal amount, P, borrowed for Tyears at R% annual interest is given by the following
formula.
P.R.T
100
Which of the following describes the relationship between the variables of the simple interest formula?
OP depends on Rand T
OR depends on Pand T
I depends on P, R, and T
O R depends on /
Answer:
I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Step-by-step explanation:
We are given that The simple interest on a principal amount, P, borrowed for T years at R% annual interest is given by the following :
Formula: [tex]I = \frac{P \times T \times R}{100}[/tex]
So,[tex]I \propto P[/tex]
[tex]I \propto T[/tex]
[tex]I \propto R[/tex]
So, I depends on P , T and R
So, Option C is true .
Hence I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Answer:
I depends on P, R, and T
Step-by-step explanation:
what is the value of x?
Answer:
x = 3 will be the answer.
Step-by-step explanation:
From right triangle ABC,
By applying Sine rule,
Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]
[tex]\frac{1}{\sqrt{2}}[/tex] = [tex]\frac{BC}{6\sqrt{2}}[/tex]
BC = 6 units
Now from right triangle BCD,
By applying Cosine rule,
Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]
[tex]\frac{1}{2}=\frac{x}{6}[/tex]
x = [tex]\frac{6}{2}[/tex]
x = 3
Find the area of the given triangle. Round your answer to the nearest tenth.
Answer:
x = 7.3
Step-by-step explanation:
We're going to use the formula for the area of a triangle:
Area = 1/2 x base x height
We can see that the height of the triangle is 10, but we don't know what the base length is.
We know that one of the angles is 54 °, so we're going to use SOH CAH TOA to work out the length of the base.
We're using the height and the base, which are the opposite (O) and adjacent (A) sides relative to our angle. According to SOH CAH TOA we'll use tan (T).
The equation is tan(Ф°) = O/A, where Ф is our angle (54°), O is our opposite side (10), and A is our adjacent side. Since we don't know what A is we'll use x.
tan (54°) = 10/x
Multiply both sides of the equation by x.
x tan (54°) = 10
Divide both sides of the equation by tan(54°).
x = 10/tan(54°)
Use your calculator to solve for x.
x = 7.265
To the nearest tenth, x = 7.3
Express 84 as a product of prime factors
Select the ordered pair that is a solution
of this equation.
2x - 4y = 2
Click on the correct answer.
(-2,-3)
(-3,-2)
(-3,-6)
Step-by-step explanation:
You could do this in your head, but I'm going to type out everything.
Also, you're going to have to just test these out, there is no short cut for this sort of problem.
[tex]2(-2)-4(-3)=2\\-4+12=2\\8\neq 2\\\\2(-3)-4(-2)=2\\-6+8=2\\2=2[/tex]
I didn't do the last ordered pair because we already found one that fit the equation. Also, it wouldn't be a 1:1 equation if that last one was true, so you can rule it out once you see that (-3,-2) is the correct answer.
Answer:
(-3,-2)
The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week. Assuming no new donations are made,
how many cans of fruit will remain after 6 weeks?
The solution is
Answer:
670 cans of fruit
Step-by-step explanation:
sorry if this answer is wrong
Factor 16 x2 + 24 x + 9.
(16 x + 3)( x + 3)
(4 x + 3)(4 x - 3)
(4 x + 3) 2
Answer:
Step-by-step explanation:
(4x + 3)(4x+3) is the factor
the third one is the solution
Find the area of the following shapes:
Answer:The area is [tex]A=\frac{YZ+XW}{2}h=\frac{7+3}{2}(4)=20[/tex]
YZ = 5-2=3
XW = 8-1 = 7
h = 5-1=4 (height)
Answer:
20
Step-by-step explanation:
Split it up so it would be like this.
Small right triangle with dimensions of 1 x 4 = 2
Square 4 x 3 = 12
Other right triangle (the one on the right) 3 x 4 = 6
2 + 12 + 6 = 20
Hope this helps!
What are the zeroes of f(x) = x2 − 6x + 8? (1 point) x = −4, 2 x = −4, −2 x = 4, 2 x = 4, −2
Answer:
x = 4 , 2
Step-by-step explanation:
x² - 6x + 8=0
(x -2)(x + 4)=0
x= 4,2
Therefore the zeros of f(x) are 4 and 2.
Hope this helps.
he center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost
Net games 99$ 8$
Equipment cost mouthy fee
anytime games 19$ 19$
1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.
2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.
3. Use your answers from 1 and 2 to justify which service the community center should purchase.
Answer:
see below
Step-by-step explanation:
From Netgames
175≥ 99 + 8x
Subtract 99 from each side
175-99 ≥ 99-99 + 8x
76≥ 8x
Divide each side by 8
76/8 ≥ 8x/8
9.5≥ x
He can get up to 9 months along with the equipment
From Anytime
175≥ 19 + 19x
Subtract 19from each side
175-19 ≥ 19-19 + 19x
156≥ 19x
Divide each side by 19
156/19 ≥ 19x/19
8.210526316≥ x
He can get up to 8 months along with the equipment
Since he can get more months from Netgames, he should rent from netgames
Answer:
The center should rent from Net games
Step-by-step explanation:
1. Net games:
175 ≥ 99 + 8x
175 - 99 ≥ 8x
76 ≥ 8x
9.5 ≥ x
It can rent games for 9 and a half months
2. anytime games:
175 ≥ 19 + 19x
156 ≥ 19x
8.2 ≥ x
It can rent games for 8 months
3. Since the center can rent games for a longer period of time with Net games (9.5 months compared to anytime's 8 months), it should rent from there.
Hope this helps, and please mark me brainliest if it does!
Which graph represents a proportional relationship?