Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
What are the exponential functions?The given exponential functions, f(x) and g(x), are respectively given by:
[tex]f(x) = 3^x[/tex][tex]g(x) = 7^x[/tex]When x < 0, one possible value is x = -1, hence evaluating the functions at these values:
[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]
[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]
[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
More can be learned about exponential functions at https://brainly.com/question/25537936
what is an easy way to memorize like terms ex: 3 +x squared +x -5 +x squared
Answer:
You can memorize formulas like (a+b)^2 but that's about it, I will write down some formulas that might be useful.
(a+b)^2 = a^2+2ab+b^2
(a-b)^2 = a^2-2ab+b^2
(a-b)(a+b) = a^2+b^2
calculate the zeros: x1,x2 = (-b +/- sqrt(b^2-4ac))/2a
Mrs. Trevino was asked to provide at least 120 bagels for a workshop. She already has 2 dozen bagels. Mrs. Trevino will buy the remaining bagels in packages of 6. which inequality shows all the values of x if x equals the number of packages or bagels she could buy, beginning wath the minimum value of x? You must write and solve an inequality to receive credit.
First, we have "at least 120 bagels"
So we write ≥120 bagels.
Now, we are given that:-
Mrs. Trevino already has 2 dozen bagels.
Remember, a dozen is equal to 12, so if we have 2 dozen, then we have
[tex]\sf{2*12=24}\longleftarrow\sf{Mrs.Trevino~already~has~24~bagels}[/tex]
Now, she'll buy the remaining bagels in packages of 6, so we write
6x (packages of 6)
So the inequality looks like so:-
[tex]\sf{6x+24\geq 120}[/tex]
Now, let's solve the inequality :)
First, subtract 24 from both sides:-
[tex]\sf{6x\geq 120-24}[/tex]
[tex]\sf{6x\geq 96}[/tex]
Divide both sides by 6:-
[tex]\bigstar{\boxed{\pmb{x\geq 16}}}\longleftarrow\sf{number~of~packages~she~should~buy}[/tex]
note:-Hope everything is clear :)
A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?
A) $100
B) $110
C) $150
D) $280
Please show steps and explain
Answer: $150
the sports drink is only 25% smaller in the price compared to the tropical
but is 2-3 times fewer supplies than the low pretty convenient but the most you get from the tropical is $92
the most you can stink out of this sum is $150
Step-by-step explanation:
Answer:$150
Step-by-step explanation:
the sport drink is only 25% less in the price compared to the tropical...
but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92
the most you can suck out of this total is $150
MARK ME BRAINLEST
Can someone please help me with this questions thank you !!
Step-by-step explanation:
count the number of boxes
√2(3+3√2) Needs to be simplified down
Answer:
Exact Form:3√2+6
Decimal Form:
10.24264068…
Step-by-step explanation:
Find the measure of X
Find the measure of PS and QR
Answer: x=4. PS=QR=15
Step-by-step explanation:
The Roberts Family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
I need help with this quick
Answer:
63π or 197.92 ft²Step-by-step explanation:
The required area is between 9+3 = 12 feet and 9 feet radius circles.
Find the area:
A = π*12² - π*9² = 144π - 81π = 63π = 197.92 ft²A wall of a building is made from blocks that are each 1 cubic foot. The wall is 6 feet high and 6 feet wide. A window is made by removing some blocks as shown below. The window is 2 feet high by 2 feet wide. The wall is 6 feet high and 6 feet wide. The window is 2 feet high by 2 feet wide and is cut from the center of the wall. Suppose the wall is expanded to be 12 feet high by 12 feet wide, and the window is expanded to be 4 feet high by 4 feet wide. How will this change the volume of the wall? A. The volume will not change. B. The volume of the wall will double. C.
When the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Volume of the wallThe volume of the wall is determined as follows;
V = h x w x t
where;
t is the thickness of the wallh is height of the wallw is width of the wallInitial volume of the wall when some blocks are removed to make a window is 2 feet high by 2 feet wide.
V1 = (6 - 2) x (6 - 2) x (t)
V1 = 16t ft³
Second volume of the wall when some blocks are removed to make a window is 4 feet high by 4 feet wide.
V2 = (12 - 4) x (12 - 4) x (t)
V2 = 64t ft³
V2 = 4(16t ft³)
V2 = 4(V1)
Thus, when the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Learn more about volume of cuboid here: https://brainly.com/question/22694657
there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9. the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. the probability that the counter is green is 10/23. find the number of red counters and the number of green counters that were in the bag originally.
Answer:
35 : 28
Step-by-step explanation:
Check the attachment.
HELP ASAP
Refer to the diagram at the right. Give the area of each
region in standard form.
a. Shaded rectangle
b. Larger rectangle
c. Unshaded region
Answer:
Step-by-step explanation:
(a). [tex]A_{1}[/tex] = x ( 2x + 1 ) = 2x² + x
(b). [tex]A_{2}[/tex] = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6
(c). [tex]A_{3}[/tex] = 20x² + 22x + 6 - ( 2x² + x ) =
( 20x² - 2x² ) + ( 22x - x ) + 6 =
18x² + 21x + 6
x2 + 4x -2 = -1
can someone solve this for me please
Find the volume of given prism.
Answer:
345 [tex]cm^{3}[/tex]
Step-by-step explanation:
The volume of 2 rectangular boxes :
7 × 5 × 3 + 5 × 7 × 3 = 210 [tex]cm^{3}[/tex]
The volume of given prism
210 + [(10 - 7 ) × 3 × (5 × 3) ]= 345 [tex]cm^{3}[/tex]
Help pls :)I’m a little slow
Answer:
The number line "D" represents the solution to 5+8x<3(2x+4)
Answer:
Solve;
5 + 8x < 3(2x + 4)
Perform the distributive property:
5 + 8x < 6x + 12
-5 -5
8x < 6x + 7
-6x -6x
2x < 7
/2 /2
x < 3.5, so your answer is D.
The circumference of a circle is 11 inches. What is the area, in square inches, of the circle? Express your answer in terms of pi
Answer
A = 30.25pi. PLS GIVE BRAINLIEST
Step-by-step explanation:
so if circumference is 11, and formula for circumference is 2pi*r, we can work backwards to find the radius.
Radius: 11pi/2 = 5.5pi = 5.5 is radius
Area = pi * r^2
so Area = pi*5.5^2
so A = 30.25pi left in terms of pi
Answer: 11/4pi
Step-by-step explanation:
HELP MEEE , need the right answer
Answer:
A
Step-by-step explanation:
We do the opposite.
Answer: A. c = nv
Step-by-step explanation: This is simple algebra, despite the complicated variables involved. Just think of it as a normal equation.
First, we multiply both sides by v to get rid of c/v. Thus, nv = c. We can switch sides since c also equals nv. So, the answer of c = nv, or A in the multiple choice.
Use the following system of linear equations to do the three tasks below.
x = y +3
Y=-4x-3
• Part A: Solve the linear system of equations by graphing.
• Part B: Use substitution to solve the linear system of equations.
• Part C: Use addition to solve the linear system of equations.
In your final answer, include all of your work, the graph of the equations and the solution.
Step-by-step explanation:
where the is y,you put the value of y 4x-3 and where the is x,put the value of x (y+3)
Need help with math!!!!
Answer:
The difference is approxiametly 8
Step-by-step explanation:
Things need to know
Whole number = Number on the left side of the mixed fraction
Numerator = Number on top of fraction
Denominator = Number on bottom of fraction
How to convert mixed numbers into improper fractions = Multiply denominator by whole number and then add that to the numerator
How to turn improper factions into decimals = Divide numerator by denominator
Improper fraction = A fraction where the numerator is greater than the denominator
Mixed fraction = A whole number and a proper fraction mixed together
For the first mixed number:
[tex]9 \dfrac{ 52 }{ 69 }[/tex]
9 = whole number
52 = numerator
69 = denominator
For the second mixed number:
[tex]1 \dfrac{ 29 }{ 50 }[/tex]
1 = whole number
29 = numerator
50 = denominator
Given:
[tex]9 \dfrac{ 52 }{ 69 } -1 \dfrac{ 29 }{ 50 }[/tex]
Convert mixed numbers into improper fractions
[tex]\dfrac{ 673 }{ 69 } - \dfrac{ 79 }{ 50 }[/tex]
Turn improper factions into decimals
[tex]9.753623188405797-1.58[/tex]
Round both numbers to the nearest whole number
[tex]10-2[/tex]
Subtract 2 from 10
[tex]8[/tex]
Answer: 8
solve this 6(x+4)+1=x+5
[tex] \sf :\implies \quad {\pmb{x = - 4}}[/tex]
Solution:Let's solve the given equation step by step ;
[tex] \sf :\implies \quad 6(x + 4) + 1 = x + 5[/tex]
The first step is to distribute the equation:
[tex] \sf :\implies \quad (6 \times x ) + (6 \times 4) + 1 = x + 5[/tex]
[tex] \sf :\implies \quad 6x + 24 + 1 = x + 5[/tex]
[tex] \sf :\implies \quad 6x + 25 = x + 5[/tex]
Second step is to combine the like terms:
[tex] \sf :\implies \quad 6x + 25 - x = 5[/tex]
[tex] \sf :\implies \quad( 6x - x) + 25 = 5[/tex]
[tex] \sf :\implies \quad 5x + 25 = 5[/tex]
Now, subtract 25 from both sides :
[tex] \sf :\implies \quad 5x + 25 - 25 = 5 - 25[/tex]
[tex] \sf :\implies \quad 5x = - 20[/tex]
Divide both sides by 5:
[tex] \sf :\implies \quad \dfrac{5x}{5} = - \dfrac{20}{5} [/tex]
[tex] \sf :\implies \quad \boxed{ \pmb{\sf x = - 4}}[/tex]
Hence, your answer is ; x = -4
what is the length of the diagonal from P to Q?
Find the least common denominator of 1/5 and 3/10?
Answer:
20 would be the lowest that both 10 and 5 could go into, and that would make the fractions 4/20 and 6/20.
Answer:
10
Step-by-step explanation:
We need to find the lowest common multiple of teh 2 denominator:
So first let's write the first few multiples of 5:
5,10,15,20,25
Now let's write the first few multiples of 10:
10,20,30,40,50
Since 10 is the first number that appears in both lists this is our answer
A bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?
Answer:
There's enough soil to plant 8 herbs.
Step-by-step explanation:
24 ÷ 2 7/8 = 8.3
This shows that there's enough soil to plant 8 herbs.
Find the volume of this square-based pyramid. 12, 10, 10
Answer:
400
Step-by-step explanation:
so its actually really easy, take 10x10 and then multiply that by 12 and then divide by the exponent so in this case 10x10x12 then divide by 3
Answer: 400
Step-by-step explanation: 10*10*12/3
The train was scheduled to arrive at 5:10 p.m. However٫it was delayed for 25 minutes. What time was it when the train arrived?
Answer:
5:35 p.m.
Step-by-step explanation: Just add 25 to 5:10
Answer number 1 please. Thank you.
which function has the same y-intercept as the one below
Check the picture below, so let's check the equations below hmmm
[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
State whether each of the statements below is true or false.
Write down your reasoning and give a counter-example for any
statement you believe is false
a All isosceles triangles are similar.
b All equilateral triangles are similar.
C All right-angled triangles are similar.
d All right-angled triangles with an angle of 30° are similar.
e All right-angled isosceles triangles are similar.
f No pair of scalene triangles are ever similar.
Answer:
a)True
b)True
c) False
d) True
e)True
f) True
PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!
Answer:
$200
Step-by-step explanation:
You can find a point where they are both equal (2,400)
and than divided y/x (400/2)=200
Graph help fast!!!!!!!!!!1111
Answer:
(0,0)
(1,3)
(2,6)
(3,9)
(-1,-3)
(-2,-6)
(-3,-9)
Step-by-step explanation:
The equation of the graph is y=3x
can you guys help me plss thank you
Answer:
G: 770 yards
A: diameter
O: multiplication/division
N: 770 = 2πr
S: D = 2r = 770/π
A: 770/π or ≈ 245.0986 yards
Step-by-step explanation:
Hope this helps!
Answer:
Given: circumference = 770 yards
Asked: Diameter of the circle
Solution:
pi x d = 770
d = 770/ pi
1,945x46 multiplying multiplication
Answer:
89,470
Step-by-step explanation:
