Explanation:
Imagine that f(x) was a road without any gaps. The road can be straight or it can be curved somehow.
Now imagine that a horizontal line is the border between two countries. The country up north is the positive country and the southern country is negative.
f(1) > 0 means we're in the northern country since f(x) is positive here
then f(3) < 0 means we're now in the southern negative country
Somewhere along the road we must have crossed the border at least one time. This must be the case because the road does not have any gaps in it and we cannot teleport. This is what it means to be a continuous function. To draw a continuous curve, you cannot lift your pencil up.
So because f(x) transitions from positive to negative, this means f(x) = 0 at some point at least once. So that's why there exists a c such that f(c) = 0
You have space in your garden for 50 small flowering bulbs. Bulb A cost $0.45 each and
bulb B cost $0.65 each. Your budget allows you to spend $26.90 on bulbs. How many of bulb A and how many of bulb B can you buy?
_______number of bulb A
_______number of bulb B
Answer:
A = 28
B = 22
Step-by-step explanation:
All money will be recorded in pennies
Let A = the 45 Bulb
Let B = the 65 bulb
A + B = 50 (1)
45A + 65B = 2690 (2)
Multiply (1) by 45 and subtract that from (2)
45A + 65B = 2690
45A + 45B = 2250 Subtract
20B = 440
B = 22
A + B = 50
A + 22 = 50
A = 50 - 22
B = 28
Check
45*28 + 22* 65 =
1260 + 1430 = 2690
0000444 4034 000034
Answer:
whats the question
Step-by-step explanation:
I dont get it
The world population at the beginning of 1980 was 4.5 billion. Assuming the population continued to grow at the rate of approximately 1.3% per year, find a function Q(t) giving the population of the world (in billions) as a function of time t (in years)
Answer:
The function Q(t) = 4.5 billion (1.013)^t will give the population in t years
Step-by-step explanation:
Here, we want to write a function
The growth percentage is 1.3% = 1.3/100 = 0.013
The function Q(t) will be an exponential function and it will be represented as;
Q(t) = I ( 1 + r)^t
where I is the initial world population at 1980 = 4.5 billion
r is the growth percentage = 1.3% = 0.013
t is the time in years
Substituting these values, we have;
Q(t) = 4.5 billion (1 + 0.013)^t
Q(t) = 4.5 billion (1.013)^t
74 ÷ 2072=
PLEASE HELPPPP
Answer:
0.0357142857142857
I need help for number 3
Answer: 3/2
Step-by-step explanation: 24 ÷ 2² + 8 (3/2) = 3/2
Answer:
i think this is the ans
Step-by-step explanation:
plezz mark brainliest
The function C(x)=25x +2,500 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $75
Answer:
More than 50 items
Step-by-step explanation:
Answer:
there are more than 50 items
Step-by-step explanation:
An online t-shirt store is having a sale. The original price of each t-shirt is p dollars. The store sells 20 t shirts and earns a total of (20p - 60) dollars.
A. Factor the expression using the GCF
20p - 60 =
B. The discount per t-shirt is $
When simplified,the value of the expression (15 - 11)^2 + sqrt 64/4 is equal to______.
Answer:
The answer is 20
Step-by-step explanation:
Solve paranthese first then sqrt your answer then add the remainig
Lynda regularly works a 40-hour work week and earns $16.00 per hour.
She receives time-and-a-half pay for each hour of overtime she works.
Last week she worked 43 hours.
a. What is her regular gross pay?
b. What is her hourly overtime rate?
c. What was her overtime pay?
d. What was her total pay for the week?
Answer:
Step-by-step explanation:
gross pay = 640
hourly overtime rate= 24
Overtime pay= 72
Total pay for the week= 712
Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712
What is Regular gross pay ?Regular gross pay is that pay which the person earn on daily basis or it is a fixed amount which he gets after completing a month.
Here, We have to find out the regular gross pay which includes the daily earning of a person.
Lynda regularly works a 40-hour work week and earns $16.00 per hour.
So, her regular gross pay = number of hours × rate per hour
= 40 × $16
= $640
Hence, the gross pay = 640
Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712
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What is this picture an example of
Use the model to help you find the product.
1
2
3
×
1
3
A model represents 1 and two-thirds.
Each big square is cut into 3 parts to represent multiplying by one-third.
The number of small shaded squares in the circled parts of each big square is the numerator of the product.
The total number of small squares in a single big square represents the denominator of the product.
The product is .
Help ASAP please
Answer:
5/9
Step-by-step explanation:
what is 3f+7f-f please help
Answer:
9f
Step-by-step explanation:
3f + 7f - f = 9f
Answer:
3f + 7f -f equals 9f
Step-by-step explanation:
First, you would add 3f and 7f together making 10f. Then you will subtract 10f from f and get 9f.
Melissa buys an iPhone for $240 and gets consumer surplus of $160. What is her willingness to pay?
Answer:
$400 = $240 + $160
Step-by-step explanation:
The cost of shipping a package is $1.85 per pound. Karen has a package that has a mass of 8 kg. How much will it cost Karen to ship the package? Use 1 kg ≈ 2.2 lb
$32.56
Did she speak to the manager
7.25y-15=21.25 what is y
Answer:
5
Step-by-step explanation:
7.25y = 36.25. (after adding 15 on both sides)
Then divide by 7.25 and it should come out to 5. Hope this helps! :D
solve for d -38d-57-19d+76
Answer:
You cannot solve for d.
But, simplified it is 19d+19
Step-by-step explanation:
38d-57-19d+76
(38d-19d)+(-57+76)
19d+19
hope this helps :)
Answer:
d ≤ -7
Step-by-step explanation:
the first person is so wrong
give the equivalent decimal 4/8
Answer:
the answer would be 0.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
.5
4/8 can be reduced to 1/2 which is equal to 5/10, which pretty much means .5
Which types of parent function have the end behavior f(x) - infinity as x - infinity
A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Answer:
B. a parent odd-degree power function
and
D. a parent odd-degree root function
The parent function is simply the base function of a function family.
The true statements are:
B. a parent odd-degree power function D. a parent odd-degree root function
The end behavior is given as:
[tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex]
The above means that:
As x approaches infinity, the function also approaches infinity
From the list of given options, the functions with these end behaviors are:
(b) and (d)
Hence, the functions with the end behavior [tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex] are:
A odd-degree power function and a odd-degree root function
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I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math
Please do step by step and pick reasoning for each
here are reasonings to pick from:
verticle angles
Linear pair (or triples)
Congruent angles
sum of angles in a triangle
sum of angles in a quadrilateral
Base angles of an isosceles triangle
Angle bisector definition
corresponding angles
alternate interior angles
alternate exterior angles
same - side interior angles
angle addition postulate
angle subtraction postulate
perpendicular lines form right angles
m∠AGF + m∠CGE + m∠AGC = 180° ( linear pair )
84° + 64° + m∠AGC = 180°
148° + m∠AGC = 180°
m∠AGC = 180 - 148
m∠AGC = 32°
As m∠AGC and m∠DGB are vertically opposite angles , their angle measure will be equal .
Which means :-
m∠AGC = m∠DGB ( vertically opposite angles )
m∠DGB = 32°Therefore :-try:- m∠DGB = 32° Reason :-vertical anglesIn the diagram shown, if m<AGF = 64°, m<CGE = 84°, then m<DGB = 32°
From the figure shown:
m<AGF = 64° (Given)
m<CGE = 84° (Given)
m<AGF = m<BGE (Vertically opposite angles are equal)
m<AGF = m<BGE = 64°
m<CGE + m<BGE + m<DGB = 180° (Sum of angles on a straight line)
84 + 64 + m<DGB = 180
148 + m<DGB = 180
m<DGB = 180 - 148
m<DGB = 32°
Therefore, in the diagram shown, if m<AGF = 64°, m<CGE = 84°, then m<DGB = 32°
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Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9
x-2
x+1
x-1
x+2
show work please
x+2
Step-by-step explanation:
x+2
If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.
Find the missing side and angle indicated in the picture. Round your answers to the nearest tenth.
Enter your answer as equations separated by a comma.
Answer:
AC = 30 in
m∠B = 36,9°
m∠A = 53,1°
Step-by-step explanation:
1 AC
You gan get AC with the pythagorean theorem:
a²+b²=c²
We are looking for side b of the triangle, so the equation is rearranged for b.
BC²+AC²=AB² | -BC²
AC²=AB²-BC²
AC=√(AB²-BC²)
Now the given values are used:
b=√(50²-40²)
b=√(2500-1600)
b=√900
b=30 in
2 m∠B
This angle can be calculated using the sine law:
sine(angle)=opposite cathete/hypothenus
We are looking for angle m∠B of the triangle.
sin(m∠B)=AC/AB
sin(m∠B)=30in/50in
sin(m∠B)=0,6
m∠B=36,9°
3 m∠A
This angle can be calculated using the sine law:
sine(angle)=opposite cathete/hypothenus
We are looking for angle m∠A of the triangle.
sin(m∠A)=BC/AB
sin(m∠A)=40in/50in
sin(m∠A)=0,8
m∠A=53,1°
Write a linear equation that is parallel to
line below and passes through the point
(-4,-13)
Answer:
y = 3x - 1
Step-by-step explanation:
Original line: y = 3x + 5
Parallel line has the same slope, so use the point-slope form.
y - (-13) = 3(x - (-4))
y + 13 = 3x +12
y = 3x -1
The equation of the line that is parallel to the line shown in the graph and passes through the point (-4,-13) is y = 2x - 5.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given the graph of the linear equation:
From the graph:
The line passes through (-3, -1) and (0, 5)
The slope of the line is shown in the graph:
m = (5+1)/(0+3)
m = 2
The equation of the line that has slope -2 and passes through (-4, -13):
[y - (-13)] = 2[(x - (-4)]
y + 13 = 2(x + 4)
y + 13 = 2x + 8
y = 2x + 8 - 13
y = 2x - 5
Thus, the equation of the line that is parallel to the line shown in the graph and passes through the point (-4,-13) is y = 2x - 5.
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In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10 and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be ower than 0.10. When you reach into the bucket, your result is based on a simulation. In a simulation, random events are modeled in such a way that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the robabiliies of obtaining a ball of a particular color. Now, close your eyes! Reach into the bucket, and pick a ball.
Hello,
This question you posted is incomplete but I was able to get the complete question. I hope it would be of help to you!
1. What is the probability of selecting the color of ball that you just selected?___
Don't put your first ball back in the bucket now reach again, no peeking and pick your second ball.( Click the pick a ball icon to simulate reaching into the bucket and select your next ball)
2. What is the probability of selecting the color of ball that you just did_____
3.what is the probability of obtaining your exact sequence of result?____
4. What is your prize____
5. What is your profit from pick a ball___
Answer:
1. The probability of selecting the color of ball that you picked. (White)
The color is white. And total balls are 10
= 4/10
= 0.4
2. After first ball was picked out, you now have 3 whites left and total balls 9. probability of selecting the color of ball that you picked = 3/9
= 0.3333
3. Probability of getting exact sequence
= 0.3333x0.4
= 0.1333
4. The prize = 1/0.1333
= 7.5
5. The price would be 7.5 - 10
= -2.5
Thank you!
7th grade math help me plzzz
Answer:
-75
Step-by-step explanation:
-50+15=-35
-35+-40=-75
i hope this helps:)
How do you rewrite a squared • a to the power of 4 using only one exponent?
Answer:
It's probably a^6
Step-by-step explanation:
a^2 * a^4
a^2+4
a^6
Answer:
[tex]a^2*a^4\\= a^6[/tex]
I got the answer by the property: [tex]a^m*a^n = a^m^+^n[/tex]
Can someone help me please??
Determine the intercept of the graph.
Determine the x- and y-intercepts of the graph of
x + 3y = 9
Then plot the intercepts to graph the equation.
Answer:
x- intercepts = 9
y- intercepts = 3
What is 1 2/3 - 2 1/3?
Answer:
-1/3
Step-by-step explanation:
8 – 3(k + 2) = 2 – 3k
Answer:
the answer is 0
Step-by-step explanation:
you distribute the 3 which gives
8 - 3k - 6 = 2 - 3k
then you combine like terms and end up with
2 - 3k = 2 - 3k
then you subtract 2 on each side which gives
- 3k = - 3k
and then when you have to keep combining like terms so you add the 3k on both sides which gives u 0
Can anyone answer these questions?
Answer:
g^2=49
7^2=49
g=7
hope it is helpful to you
Find g (a + 1 ), if g(x)=5x-3
Answer:
g(a+1)=5a+2
Step-by-step explanation:
so (a+1) is the value of x
you can write it like this:
x=a+1
using substitution, we can swap out all 'x's for 'a+1's. like so;
g(a+1)=5(a+1)-3 -- given
=5a+5-3 -- distribute
=5a+2 -- simplify!
Hope i helped! have a great day! please mark brainliest!!