Which expression represents all the solutions to the inequality
3(2x - 8) > 4x + 26?
Answer:
x > 25
Step-by-step explanation:
3(2x−8)>4x+26
Step 1: Simplify both sides of the inequality.
6x−24>4x+26
Step 2: Subtract 4x from both sides.
6x−24−4x>4x+26−4x
2x−24>26
Step 3: Add 24 to both sides.
2x−24+24>26+24
2x>50
Step 4: Divide both sides by 2.
2x
2
>
50
2
x>25
21) Two functions each have an initial value of 1. One function is linear and has a slope of 10
while the other function is exponential with a growth factor of 1.1.
A) At what x-value does the exponential function's output exceed the linear?
Answer:
A) x = 68.55
Step-by-step explanation:
The initial value of a function can be the value of the function when x = 0.
So we have a linear equation:
f(x) = a*x + b
with a slope of 10, then:
f(x) = 10*x + b
and we know that:
f(0) = 1 = 10*0 + b
1 = b
Then the linear function is:
f(x) = 10*x + 1
And we have an exponential function g(x)
A general expoential function is written as:
A*(r)^x
where r is the growth factor, here we know that it is equal to 1.1
Then:
g(x) = A*(1.1)^x
And we know that:
g(0) = 1, then:
A*(1.1)^0 = A*1 = 1
Then A = 1
g(x) = (1.1)^x
So our two functions are:
f(x) = 10*x + 1
g(x) = (1.1)^x
We want to find the value of x such that the exponential function's output exceeds the linear one. This is kinda hard to do analytically, so we can do it graphically.
Below you can see the graphs of both functions, where we can see that for x = 68.55, the exponential function's output exceeds the one of the linear function.
If we want to find the point analytically, we need to solve:
10*x + 1 = (1.1)^x
Which is a transcendental equation, which means that can not be solved in close form. So usually we solve them graphically.
Here we can also check that for the found value:
g(68.55) = (1.1)^68.55 = 687
f(68.55) = 10*68.55 + 1 = 685.6
So this is not the exact value at which g(x) overcomes f(x), but is a good approximation.
pls help me ill mark you brainliest and show your work please
Answer:
Infinately many solutions.
Step-by-step explanation:
2x-4=2(x-2)
Distribute
2x-4=2*x-2*2
2x-4=2x-4
Since both sides are the same, there are infinately many solutions.
Hope this helps!
A model of a statue has a height of 4 cm. The volume of the model is 12 cm3 . 3 The volume of the statue is 40 500 cm
Answer:Pencil, pen, ruler, protractor, pair of compasses and eraser ... Work out the volume of prism B. me x3' (X27). 15X27 = 405. 405 ..cm3 ... 3. Below are two similar parallelograms. X1.5. 4cm / A /. 6cm. B. The area of ... bon Area: 120 cm? 3 ... Two clay models of the Statue of Liberty are mathematically similar.
Step-by-step explanation:
Sorry If It Dont Help But It Helped Meh...Come Back To Meh If Its Wrong♀️....
im stuck on this question
Answer: f
Step-by-step explanation: I chose f because m=29.57 which is is the starting point
Help pls!!! question in the picture!!!
Answer:
The Y intercept is two
Step-by-step explanation:
The y intercept is the point on a graph where the graph crosses the y axis.
Basically, it is the value of y when x is 0 is (x,y)
Looking at the attached graph, our y intercept is (0,2), meaning that the y-intercept is 2.
The answer is: the Y-INTERCEPT is 2
A spinner was spun 60 times and landed on the Number five 25 times. If the spinner is spun several times again, what is the probability that it will land on Number five? Round your answer to the nearest whole number.
Answer:
29.411 = 29
Step-by-step explanation:
Explain why cos E
-
СВ/AB
Answer:
Note that the three identities above all involve squaring and the number 1.You can see the Pythagorean-Theorom relationship clearly if you consider the unit circle, where the angle is t, the "opposite" side is sin(t) = y, the "adjacent" side is cos(t) = x, and the hypotenuse is 1.. We have additional identities related to the functional status of the trig ratios:
Step-by-step explanation:
Bill has fruit trees on his farm, and 42 of them are apple trees. If apple trees represent 35% of all his fruit trees, how many total fruit trees dose he have?
Answer:
Step-by-step explanation:
t(35/100)=42
35t=4200
t=120
So there is a total of 120 fruit trees.
Answer:
Its 35.72
Step-by-step explination
couldn't insert a photo sorry, Iwas going to, but it wouldn't let me
What’s n=
In this problem
Answer:
90
Step-by-step explanation:
I'm not sure It looks like it would be a 90 degree angle. Plz let me know im really sorry if its wrong.
Matsu walks 2 blocks west from the police station and then walks 3 blocks north. Give the coordinates of the place where he stops
HELP PLEASE!
Find the volume of cylinder,
4in
A) 887.9
B) 904.06
C) 15,509.3
D) 21,237.2
Answer:
D) 21,237.2
Step-by-step explanation:
V= πr^2h
D= 26
r= 13
V= π13^2(40)
V = 169(40)π
V = 6760π
V = 21226.4
A ship leaves the Port of Miami and travels due east toward the Bahamas for 3 miles. The ship turns due south and travels for some distance. The captain then looks back and determines that the ship is directly 10 miles from the starting point at the Port of Miami. How many miles did the ship travel south before the captain checked the distance to the Port of Miami? Round your answer to the nearest tenth. the
Helpppppppeeeeeeppepepeeeeee
Answer:
21
Step-by-step explanation: hoped I helped
I have to show a picture and dont know how
Answer:
there should be clip under the text box
Step-by-step explanation:
PLEASE HELP HURRY
Tina is planning to paint a wood box. She is using small paint cans
that cover 20 square feet of surface area. How many cans will Tina need in order
to paint the outside of her wood box? Answer without units.
3 ft.
3 ft.
8 ft.
Answer:
6 cans.
Step-by-step explanation:
total of 114 square foot of surface area
What is the volume of this prism?
Answer:
160 u^3
Step-by-step explanation:
For the sake of ease, I will split this prism into 2 prisms. One prism will be 2x4x5 while the second one will be 4x5x6. The volume of the prism will be the sum of the volume of both prisms.
Prism A: Volume would be lwh or 2*4*5=40
Prism B: Volume would also be lwh which is 4*5*6=120
40+120=160
The volume is 160 units^3
Hope this is correct and helps!
How many people were in the sample?
45
90
5
10
I NEED HHELLLPPPPPPPPPPPPPPPPPPPPP
Answer:
10.6
Step-by-step explanation:
Answer:
x = 122°
Step-by-step explanation:
since it is a right triangle, the sum of the other 2 interior angles = 90°
the angle opposite x = 90° - 32° = 58°
58° and angle x are supplementary angles. Their sum is 180°.
180° - 58° = 122°
A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.
no: 92 + 7 + 122
O yes: 92 + 72 122
O no: 92 + 7 = 122
yes: 92 + 7 = 122
The equation below describes a proportional relationship between x and y. What is the constant of proportionality?
y= 3/8x
The constant of proportionality is ___.
Answer:
y= 7/3
Step-by-step explanation:
Loki wrote 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?
If the terminal side of angle θ , in standard position, passes through the point (16,63)
What is the numerical value of sin θ ?
What is the numerical value of cos θ ?
Answer:
Step-by-step explanation:
sinθ = 63/√(16² + 63²) = 63/65
cosθ = 16/65
find the solutions for w
What is the exponential function (0,25) (1,50) (2,100) (3,200) (4,400)
Answer:
Step-by-step explanation:
If it is exponential dividing any term by the preceding term will be a constant, the common ratio or rate. 50/25=100/50...=2 The initial value, a, (at x=0) is 25 so the general form is
y=ar^x we have a=25 and r=2 so
y=25(2^x)
Find the height of a triangle in which base is 25cm and
area is 200cm2.
Answer:
16
Step-by-step explanation:
(200*2)/25=16
Someone please answer this! THANKSSSS
Answer:
in right angled triangle MNO
relationship between base and hypotenuse is given by cos angle
cosx°=b/h
cosx°=OM/MN
x°=cos-1(26/99)=74.77=74.8°
Answer:
∠ M ≈ 74.8°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos M = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{MN}[/tex] = [tex]\frac{26}{99}[/tex] , then
∠ M = [tex]cos^{-1}[/tex] ([tex]\frac{26}{99}[/tex] ) ≈ 74.8° ( to the nearest tenth )
A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?
Answer:
82.35%
Step-by-step explanation:
60 divided by 340=0.17647058823
Multiply that by 100 and you get 17.647058823
Next, round and you get 17.65
100-17.65=82.35
what is pi and how invented it??
Answer:
Step-by-step explanation:
The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
Answer:
π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.
The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.
What is the measure of ZXZY?
Answer:
measure of angle XZY = 52 degrees
Step-by-step explanation:
The sum of measure of angles of a circle is 360 degrees.
therefore, m(arc XY) = 360 - (110 + 146)
m(arc XY) = 360 - 256
= 104 degrees
angle XZY is an inscribed angle.
By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc.
So, m( angle XZY) = 1/2 * 104
= 52 degrees.