Answers
Answer:
The two restrictions that we have for x are:
x < -2
x > -0.5
Step-by-step explanation:
In part 3 we want to solve:
-5 < f(x) < 1
But we don't know the actual equation of f(x), we have only the graph, so let's work with that.
So with the graph, let's find the allowed values of x.
First, let's see the possible values of x such that:
-5 < f(x)
in the graph, we can see that:
f(-2) = -5
And as x decreases we will have:
f(x) > -5
So here we found one restriction for x, if we want:
f(x) > -5, then we must have x < - 2
Now let's find the other case, where:
f(x) > 1
Again, in the graph we can see that:
f(-0.5) = 1
And as x increases, the value of f(x) decreases.
so if x > -0.5
f(x) < 1.
Then we found another restriction for x:
x > -0.5
The two restrictions that we have for x are:
x < -2
x > -0.5
So if x is a value such that one of these two inequalities is true, then the inequality:
-5 < f(x) < 1
is true.
Related Questions
Help me with the math
Answers
Answer:
See below
Step-by-step explanation:
[tex] m\angle 1 = 180\degree - (90+39)\degree = 51\degree [/tex]
[tex] m\angle 2= 90\degree -51\degree =39\degree [/tex]
[tex] m\angle 3= 90\degree[/tex]
[tex] m\angle 4 = 180\degree - (90+39)\degree = 51\degree [/tex]
[tex] m\angle 5 = 180\degree - (129+34)\degree = 17\degree [/tex]
[tex] m\angle 6 = 90\degree +39\degree = 129\degree [/tex]
[tex]6 - 2x - 4(2x + 1)[/tex]
I need help with this problem.
Answers
Answer:
2 - 10x
Step-by-step explanation:
Given
6 - 2x - 4 (2x + 1) ← distribute parenthesis by - 4
= 6 - 2x - 8x - 4 ← collect like terms
= 2 - 10x
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a
4-foot wall?
16 tiles
8 tiles
4 tiles
1 tile
Answers
Answer:
16 tiles
Step-by-step explanation:
Divide 4 by 1/4 to get your answer.
This is the same as multiplying 4 by the inverse of 1/4 (which is 4/1 a.k.a 4)
4 * 4 = 16
16 tiles will fit end-to-end along a 4-foot wall.
9. In the diagram below, Angle A is 50 degrees. What is angle B?
Answers
Answer:
130
Step-by-step explanation:
Angle B = 180 - Angle A
180 - 50 = 130
Answer:
The answer is 130 degrees.
Step-by-step explanation:
A+B should be 180, so with A being 50; B has to be 130.
Find the greatest common factor of
10x+25y+5
Answers
Answer:
I think it is 5
Approximately how long will it take a 100-gram sample of francium-223 to decay to 20 grams?
Answers
Answer: 50 minutes
Answer choices:
20 minutes
70 minutes
50 minutes
30 minutes
It will take 68.8 minutes for a 100-gram sample of francium-223 to decay to 20 grams.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The decay of a radioactive substance can be modeled by the exponential decay formula:
[tex]N(t) = N_0 ~ e^{-ct}[/tex]
where:
N(t) is the amount of the substance at time t
N0 is the initial amount of the substance
c is the decay constant
t is the time elapsed since the initial measurement
The half-life of francium-223 is about 22 minutes.
t = 22
Now,
0.5 = [tex]e^{-c \times22}[/tex]
ln (0.5) = -c x 22
c = ln(2) / 22
c ≈ 0.03159
Now,
We can use the formula to solve for the time it takes for the sample to decay from 100 grams to 20 grams.
20 = 100 x [tex]e^{-0.03159t}[/tex]
[tex]e^{-0.03159t}[/tex] = 0.2
-0.03159 t = ln(0.2)
t = ln(0.2) / (-0.03159)
t = 68.8 minutes
Therefore,
It will take 68.8 minutes for a 100-gram sample of francium-223 to decay to 20 grams.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
McNeal stands at the 40 degree angle and is trying to find the width of the river. McNeal knows she is 120 feet from the tree.
A) Write a trig equation to find the river's width (nearest foot)
B) Solve your trig equation to find the river's width (nearest foot)
Answers
Answer:
Our equation is:
[tex]\displaystyle \sin(40^\circ)=\frac{w}{120}[/tex]
Solving this yields that the width of the river is about 77 feet.
Step-by-step explanation:
Part A)
We know that McNeal is 120 feet from the tree. This is the hypotenuse.
And we want to find the width of the river, which is the side opposite from our angle.
Since we want to find the side opposite to our angle and we are given the hypotenuse, we will use the sine ratio:
[tex]\displaystyle \sin(\theta^\circ)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Our angle is 40°.
The opposite side is unknown. We can let this be w to represent width.
The hypotenuse is 120 feet. Hence, our equation is:
[tex]\displaystyle \sin(40^\circ)=\frac{w}{120}[/tex]
Part B)
Solve for w:
[tex]w=120\sin(40^\circ)[/tex]
Use a calculator:
[tex]w=77.1345...\approx 77\text{ feet}[/tex]
The width of the river is about 77 feet.
NEED HELP QUICKLY TYSM IF U DO :)
Answers
The 16 fl. oz bottle is $6.19, so it is $6.19/16oz = $0.38/oz
The 13.5fl. oz bottle is $3.99, so it is $3.99/13.5oz = $0.29/oz
0.29 is less than 0.38, thus the 13.5 oz is cheaper and the better buy.
form the truth table p v q => q
Answers
Answer:
See attached image for the table.
Step-by-step explanation:
The table shows all 4 possible truth values for statements p and q .
p v q is true if one or both of the p, q are true.
Finally, an implication (if-then) is true in every case except when the first statement (hypothesis) is true and the second (conclusion) is false.
could you guys simplify this for me please.. i’m not that good at math so I might as a few more
Answers
Answer:
B
Step-by-step explanation:
when you’re multiplying with an exponent, you’re multiplying that number however many times the exponent says, against itself. For example, seven to the third, is 7×7×7. So if you add seven to the third power plus the seven to the fourth power. You should get seven to the seventh power.
I need help asap
Which expression represents the volume of a cube with a side length of 6x?
a)6x^2
b)36x^2
c)36x^3
d)216x^3
Answers
Answer:
Option 4
Step-by-step explanation:
So formula of voulme of the cube is a³
We have the side length is 6x
So sub the value in formula we get 216x³
Explanation
Please help me in tho hard question!!!
Answers
Since angle prv and angle vrt are complementary, their sum is 90 degrees.
Thus, angle prv = 90 - 16 = 74 degrees
Since angle prv = 74, 5x + 4 = 74 and using algebra we can solve for x = 14
Please write the domain, range, equation and parent function
Answers
Answer:
See below
Step-by-step explanation:
26. Domain: {x|x ≥ 2}
Range: {y| y ≤ -3}
Parent: y = [tex]\sqrt{x}[/tex]
Equation: y = [tex]\sqrt{x - 2} - 3[/tex]
27. Parent: y = | x |
Equation: y = - | x + 2 | + 3
Domain: Reals
Range: {y | y ≤ 3}
Now, I am not going to do all 6 of these problems. Hopefully the ones I did will give you an idea of what needs to be done.
I will tell you this: 28 is an exponential function
29 is a quadratic function, 30 is an exponential function and 31 is a cubing function. Good luck.
solve for x. please help
Answers
Answer:
Assuming it is a 90-degree angle, the answer is x=18.5
Step-by-step explanation:
Phillip helps his neighbors with various jobs. The table shows some jobs he did, the number
of hours he worked, and the amount he was paid. Is Phillip's pay proportional to the number
of hours he works?
Use the drop-down menus to explain your answer.
Job
Fixing a Fence
Pulling Weeds
Painting a Garage
Mowing a Yard
Hours Worked
5
4.5
6
1.5
Amount Paid ($)
75
54
78
18
Answers
Answer:
Is and his pay is always a multiple of 3
Step-by-step explanation:
I did the i-Ready
Answer: his pay is always a multiple of 3
Step-by-step explanation:
2. An apartment complex has a demand given by p
= -5x + 860, where x is the number of apartments rented
and p is the price for each apartment, in dollars. The
cost of maintaining the complex is $120 per rented
apartment. There are fixed costs of $6,000.
1
a) Find the revenue equation
b) Find the cost equation
c)
Find the profit equation.
d) Find the number of apartments to be rented that
maximize profit.
e) Find the price that the apartments are rented at when
the
profit is maximized.
Answers
Ann’s Trail Mix Recipe
5 cups oats
3 cups seeds
1 cup nuts
2 cups raisins
Find three equivalent ratios for the
ratio of nuts to oats
Answers
Answer:
5:1, 10:2, and 15:3
Step-by-step explanation:
Madison, Natalie, Isabella and Rebecca go shopping. Madison spent 4/5 of her money, Natalie spends 75% of her money,Isabella spends 0.68 of her money and Rebecca spends 17/20 of her money. Who has the largest percentage of their money left?
Answers
Answer:
you need common denominater so 10/10 - 9/10 =1/10 thats how much of her money she used.
Step-by-step explanation:
A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost.
a. What equation models the total cost as a function of the number of T-shirts
ordered?
b. What does each variable represent?
c. What are the initial value and rate of change of the function? What does each
one represent?
Answers
Answer:
a)
We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.
First, let's find how much costs each shirt.
First, the total cost of the shirts alone (neglecting the flat-rate) is:
$1,825 - $25 = $1,800
Then each shirt costs equal to the quotient of the cost and the number of shirts:
$1,800/150 = $12
Each shirt costs $12.
Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:
C(T) = $25 + T*$12
b) C represents the cost
T represents the number of shirts ordered.
c) The initial value is the constant value, in this case, is $25
The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.
What is the slope of the line that passes through the points (2.1) and (17, -17)? Write your answer in simplest form.
how would this be done??
Answers
Answer:
the answer is
-17-1/17-2=-18/15=Slope
Expand the following logarithm:
[tex] log_{5}( \frac{ {x}^{2} }{y} )^{6} [/tex]
Answers
Answer:
[tex] \displaystyle 12 \log_{5}( {x}^{} {)}^{} - 6 \log_{5}(y ^{} )[/tex]
Step-by-step explanation:
we would like to expand the following
[tex] \displaystyle \log_{5}\bigg( \frac{{x}^{2}}{y} \bigg) ^{6} [/tex]
since we have a division of two different variable we can consider using division logarithm rule
[tex] \displaystyle \log_{5}( {x}^{2} {)}^{6} - \log_{5}(y) ^{6} [/tex]
use law of exponent:
[tex] \displaystyle \log_{5}( {x}^{12} {)}^{} - \log_{5}(y ^{6} )[/tex]
by exponent logarithm rule we acquire:
[tex] \displaystyle 12 \log_{5}( {x}^{} {)}^{} - 6 \log_{5}(y ^{} )[/tex]
and we are done!
how to solve fractagons
Answers
Answer:
By using cross multiplication
Step-by-step explanation:
i need help
https://hegartymaths.com/assessment
Answers
Answer:
It is a link or not??
?? im conufsed please help
Answers
Answer:
B
Step-by-step explanation:
The sign means greater than or equal to and the car need to travel at least 570 miles.
Hope it helps, sorry if it's not right :>
Answer:
Step-by-step explanation:
b
495/256 simplified please help
Answers
Answer:
It is already simplified.
If you want it as a mixed number here it is :
1 239/256
PLEASE MARK BRAINLIEST!
Answer:
1.933
Step-by-step explanation:
495/256=1.933
dont guess, please..........!
Answers
The students in Mabel's class got to choose between pizza and burgers for the celebration on the last day of school. 12 students picked the pizza. If there are 40 students in all in Mabel's class, what percentage of the students picked the pizza?
Answers
Answer:
30%
Step-by-step explanation:
The percentage of something can be calculated by dividing that number by the total amount. In this scenario, you divide 12 by 40
12/40 = 0.3
Or, you could do it the way without doing the math and simplifying to make it easier
12/40 = 6/20 = 3/10 = 0.3 = 30%
If a population doubles every 5 years, how many years will it take to reach 10 times the original amount?
Answers
Need help please!!!!
Answers
Answer:15
Step-by-step explanation:
0
100%
Which expression is equivalent to (-11x2 +1.4x-3) + (4x2-2.7x+8)
Answers
i) Simplify.
(-25 + 1.4x) + (16 - 2.7x)
ii) Combine like-terms.
-(9) - 1.3x