Answers
Answer:
A. {y | -∞ < y < 4}
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, we can see that we have a horizontal asymptote at y = 4. Our y-values stretch from negative infinity to the horizontal asymptote.
∴ our answer would be A.
Related Questions
Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions. Reduce all fractions. Use / as the fraction bar and do not use any spaces. What is the probability of... Drawing a blue marble?
P( Answer
)= Answer
Drawing a marble that is not red?
P( Answer
)= Answer
Drawing a red and yellow marble?
P( Answer
)= Answer
Drawing a red or blue marble.
P( Answer
)= Answer
Drawing a red marble, put it back, and then drawing a yellow marble?
P( Answer
)= Answer
Drawing a yellow marble, keeping it, and then drawing another yellow marble?
P( Answer
)= Answer
Drawing a yellow marble, given that a red marble was drawn on the first draw and not replaced?
P( Answer
)= Answer
Answers
Answer:
drawing a blue marble is a harder then the yellow but not as hard as the red.
In order for the parallelogram to be a rhombus, x=?
Answers
Answer:
Step-by-step explanation:
The diagonal must be an angle bisector for a rhombus.
That means that both bisected angles are equal.
2x + 16 = 5x - 8 Add 8 to both sides
2x + 16 + 8 = 5x
2x + 24 = 5x Subtract 2x from both sides
24 = 5x - 2x
24 = 3x Divide by 3
24/3 = x
x = 8
Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33 hat is the cost of one can of cat food
Answers
Answer:
$0.25
Step-by-step explanation:
We can use System of Equations to find out how much a can of cat food costs.
Let's use variables to represent the cat food and dog food:
x = cost of 1 cat food can
y = cost of 1 dog food can
Here are our 2 equations based on the scenarios in the question:
4x + 3y = 1.99
4x + y = 1.33
Now let's set the second equation to y using basic algebra:
4x + y = 1.33
y = -4x+1.33
And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:
4x + 3y = 1.99
4x + 3(-4x+1.33) = 1.99
4x + -12x+3.99 = 1.99
-8x + 3.99 = 1.99
-8x = -2
x = 1/4
x = 0.25
1 can of cat food costs $0.25
Hope that helps (●'◡'●)
Answer:
.25
Step-by-step explanation:
set up equations
1)4c+3d=1.99
2)4c+d=1.33
Method of use:Elimination
4c+3d=1.99
- (4c+d)=-(1.33)
___________
=2d=.66
divide by two on both sides to get .33 for d.
plug in
4c+.33=1.33
subtract .33 on both sides
4c=1
divide by four on both sides to get c
c=1/4 or .25
x²- 9x + 20=0 it´s finding solutions for x
Answers
Answer:
Step-by-step explanation:
Sum = -9
Product = 20
Factors = -5 , -4 {-4 * -5 = 20 & -5 + (-4) = -9}
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0 Rewrite middle term
(x² - 5x) - 4x + 20 = 0 Group terms
x(x - 5) - 4(x - 5) = 0 Factor terms
(x-5)(x -4)=0
x -5 = 0 ; x - 4 = 0
x = 5 ; x = 4
Ans: x = 5 , 4
solve the equation on the interval [0,2pi] 5sec(x)+7=-3
Answers
Answer:
Hello,
[tex]x\in \bigg\{\dfrac{2\pi}{3} ,\dfrac{4\pi}{3}\bigg\}\\[/tex]
Step-by-step explanation:
[tex]5*sec(x)+7=-3\\\\sec(x)=\dfrac{-10}{5} \\\\\dfrac{1}{cos(x)} =-2\\\\cos(x)=-\dfrac{1}{2} \\\\x=120^o\ or\ x=240^o\\[/tex]
Answer:
[tex]\sf \boxed{\sf x = \dfrac{2\pi}{3},\dfrac{4\pi}{3}}[/tex]
Step-by-step explanation:
A trigonometric equation is given to us , and we need to find the solutions of the equation within the interval [ 0,2π ]
The given equation is ,
[tex]\sf\longrightarrow 5 sec\ x +7 = -3[/tex]
Add -7 to both sides ,
[tex]\sf\longrightarrow 5sec\ x = -10 [/tex]
Divide both sides by 5 ,
[tex]\sf\longrightarrow sec \ x =\dfrac{-10}{5} [/tex]
Simplify ,
[tex]\sf\longrightarrow sec \ x =-2 [/tex]
Now solve for x ,
[tex]\sf\longrightarrow x = sec^{-1}(-2) [/tex]
Simplify ,
[tex]\sf\longrightarrow x = \dfrac{2\pi}{3}[/tex]
The secant function is negative in the second and third quadrants. Subtracting the reference angle from 2π to find the solution in the third quadrant to find the solution second solution.
[tex]\sf\longrightarrow x = 2\pi -\dfrac{2\pi}{3}[/tex]
Simplify ,
[tex]\sf\longrightarrow x = \dfrac{4\pi}{3}[/tex]
Now here the period of sec x is 2π . Therefore ,
[tex]\sf\longrightarrow x = \dfrac{2\pi}{3} +2\pi n , \dfrac{4\pi}{3}+2\pi n , \textsf{ for any integer n } . [/tex]
Therefore all the possible solutions are ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = \dfrac{2\pi}{3},\dfrac{4\pi}{3}}} [/tex]
Hence the required answer is 2π/3 and 4π/3.
On a Job application Doris gave her age as 32 years. Her actual age at the time was about 27. What is the relative error fo her age?
Answers
Answer:
Relative error = 0.19
Step-by-step explanation:
From the question given above, the following data were obtained:
Measured age = 32 years
Actual age = 27 years
Relative error =?
Next, we shall determine the absolute error. This can be obtained as follow:
Measured age = 32 years
Actual age = 27 years
Absolute error =?
Absolute error = | Measured – Actual |
Absolute error = | 32 – 27 |
Absolute error = 5 years
Finally, we shall determine the relative error. This can be obtained as follow:
Absolute error = 5 years
Actual age = 27 years
Relative error =?
Relative error = Absolute error / Actual years
Relative error = 5 / 27
Relative error = 0.19
Please help..
A line intersects the points
(21, 18) and (23, 24).
Find the slope of the line.
Slope = [?]
Answers
Answer:
3
Step-by-step explanation:
slope = (24-18)/(23-21) = 6/2 = 3
HELP ASAP
The graph shows a function of the form f(1) = ax + b.
Use the drop-down menus to complete the statements about the function, and then
write an equation that represents this function
Answers
Answer:
The equation of the function: y = mx + b
m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2b = y-intercept = -3Therefore, the equation is f(x) = 2x - 3
When x = 0, f(x) = 2(0) - 3 = -3
When x increases by 1, f(x) increases by 2 (slope = the rate of change)
multiply 4111 base 5 with 31 base 5
Answers
Answer:
304221 base 5 = 9936 base 10
Step-by-step explanation:
4441
31
4441
244230
304221
Which expressions are equivalent.
PLEASE HELP ME !!! (photo given)
Answers
Answer:
[tex]\frac{2^{5} }{6^{5} } =2^{5} 6^{-6}[/tex]
[tex]=2^5\times (2^{-5} 3^{-5} )[/tex]
[tex]=2^{5-5} 3^{-5}[/tex]
[tex]=2^{0} 3^{-5}[/tex]
[tex]=3^{-5}[/tex]
[tex]OAmalOHopeO[/tex]
Answer:
B(3^-5) and D(2^5*6^-5)
Step-by-step explanation:
I put the expression in to the calculator and put the answers into the calculator and just picked the ones that matched
A random variable X has a Poisson distribution with a mean of 3. What is the probability that X P(1≤X≤3) ?.
Answers
Answer:
P(1≤X≤3) = 0.5974
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Mean of 3
This means that [tex]\mu = 3[/tex]
P(1≤X≤3) ?
[tex]P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]
[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]
So
[tex]P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974[/tex]
pls help w work!!
The equation P=2(L + W) is used to find the
perimeter, P, of a rectangle based on the length, L,
and Width, W. Which of the following correctly expresses the value of the width?
(a) P - 2L
(b) P - 2L / 2
(c) 2L - P / 2
(d) 1/2 (P-L)
Answers
Lets Do
[tex]\\ \sf\longmapsto p = 2(l + w) \\ \\ \sf\longmapsto l + w = \frac{p}{2} \\ \\ \sf\longmapsto w = \frac{p}{2} - l \\ \\ \sf\longmapsto \boxed{ \bf \: w = \frac{p - 2l}{2} }[/tex]
What is the explicit formula for this sequence?
-9, -3, 3, 9, 15,
Answers
Answer:
+6
Step-by-step explanation:Look at the trend of numbers and notice. Maybe put it in a table.
NEED THIS ASAP :)
What is the length of the y-component of the vector plotted below?
A. 3
B. 4
C. 1
D. 2
Answers
Answer:
4
Step-by-step explanation:
Length of the y component is how far the vector reaches vertically, so in this case it's 4
Write an equation for a parabola with endpoints of the latus rectum at (-2, 3) and (-2, 15) and the directrix at x = 4.
Answers
Given:
The endpoints of the latus rectum at (-2, 3) and (-2, 15).
The directrix at x = 4.
To find:
The equation of the parabola.
Solution:
The equation of the parabola is:
[tex](y-k)^2=4p(x-h)[/tex] ...(1)
Where, [tex]x=h-p[/tex] is directrix and [tex](h+p,k\pm |2p|),p<0[/tex] are the end point of the latus rectum.
The directrix at x = 4. So,
[tex]h-p=4[/tex] ...(i)
The endpoints of the latus rectum at (-2, 3) and (-2, 15). So,
[tex](h+p,k-|2p|)=(-2,3)[/tex]
[tex](h+p,k+|2p|)=(-2,15)[/tex]
Now,
[tex]h+p=-2[/tex] ...(ii)
[tex]k-2p=3[/tex] ...(iii)
[tex]k+2p=15[/tex] ...(iv)
Adding (i) and (ii), we get
[tex]2h=2[/tex]
[tex]h=1[/tex]
Putting [tex]h=1[/tex] in (i), we get
[tex]1-p=4[/tex]
[tex]-p=4-1[/tex]
[tex]-p=3[/tex]
[tex]p=-3[/tex]
Putting [tex]p=-3[/tex] in (iii), we get
[tex]k-|2(-3)|=3[/tex]
[tex]k-6=3[/tex]
[tex]k=3+6[/tex]
[tex]k=9[/tex]
Putting [tex]h=1,p=-3,k=9[/tex] in (1), we get
[tex](y-(9))^2=4(-3)(x-1)[/tex]
[tex](y-9)^2=-12(x-1)[/tex]
Therefore, the required equation of the parabola is [tex](y-9)^2=-12(x-1)[/tex].
Find the shaded area
Answers
Answer:
101 degrees
Step-by-step explanation:
the sum of all angles in a triangle is always 180 degrees.
the other not-shaded angle in the lower triangle is also 42 degrees.
the shaded angle is therefore
180 - 37 - 42 = 101 degrees
What is the slope of the line given by the equation y=11.2x?
Answers
11.2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b where y = y axis, m = slope, x = x-intercept and b = y-intercept
Slope-Form: y = 11.2x where there’s only a slope 11.2x and no y-intercept
Therefore, the slope is 11.2
Answer:
slope = 11.2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 11.2x ← is in slope- intercept form
with slope m = 11.2
At a certain point from a pole, the angle of the elevation to the top of the pole is 28 degrees if the pole is 6.3 feet tall, what is the distance from the pole
Answers
Answer:
11.85
Step-by-step explanation:
Tan 28 = opposite / adjacent
Answer:
the distance from the pole is 11.85 ft.
Step-by-step explanation:
Given;
the elevation to the top of the pole, θ = 28⁰
height of the pole, h = 6.3 ft
let the distance from the pole = x
If a sketch of a right triangle is made as follows, it will be observed that the base of the triangle forms the adjacent side of the triangle, which is equal to x.
↑
↑ h = 6.3 ft
↑
28⁰ ---------------
x
[tex]tan(28) = \frac{6.3}{x} \\\\x = \frac{6.3}{tan(28)} \\\\x = 11.85 \ ft[/tex]
Therefore, the distance from the pole is 11.85 ft.
Multiple Choice Question Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes can have the same relative frequency. The sum of the relative frequencies must be less than 1. The sum of the relative frequencies is equal to the number of observations. The relative frequency is found by dividing the class frequencies by the total number of observations.
Answers
Answer:
The relative frequency is found by dividing the class frequencies by the total number of observations.
Step-by-step explanation:
A relative frequency distribution can be regarded as a distriburion that display the proportion of the total number of observations that is been associated with class of values or each of the value, and this relate to a probability distribution that is been used extensively in statistics. A relative frequency distribution gives the lists of the data values with percent of all observations that belongs to each group. The relative frequencies are been calculated through the division of the frequencies for each group using the total number of observations.
It should be noted that In a Relative frequency distributions, the relative frequency is found by dividing the class frequencies by the total number of observations.
Find the slope of the line
Answers
What is the perimeter of this parallelogram? Please help asap!
Answers
18 units
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
c^2 = 25
Square root of 25 = 5
5 + 5 = 10
(Opposite sides are congruent)
4 + 4 = 8
10 + 8 = 18
Therefore, the perimeter is 18
What is the slope-intercept equation of the line below?
O A. y = 2 x + 1
O B. y --4x+1
O C. y - 4x +1
O D. y--3x+1
Answers
Answer:
A.) y = 3/4x + 1
Step-by-step explanation:
First let's find the slope using the slope formula, (y₂-y₁)/(x₂-x₁). The two points given are (0,1)₁ and (4,4)₂. We have to substitute those values.
y₂ = 4, y₁ = 1, x₂ = 4, x₁ = 0 --> (4 - 1)/(4 - 0) = 3/4
The slope is 3/4.
Now, we have to find the y-intercept, which is where the line meets the y-axis. It touches the y-axis at (0,1). The y-intercept is 1.
Finally, we build our equation in slope-intercept form.
y = mx + b
y = 3/4x + 1
Please help!!!!!!!!!!!!!!
Answers
Answer:
7^-22
Step-by-step explanation:
Exponent laws.
SOMONEEeeeee HELPP MEEE OUTTTT!!!
Answers
Answer:
simple 49+44=93 then you do 180 is the angle of a straight line so we do 180-93=87
Tìm x, y sao cho: B=-x^2+2xy-4y^2+2x+10y-8
Answers
Answer:
Hello,
Step-by-step explanation:
All i can do is to show you the ellipse.
Please help me out . Find x please
Answers
Step-by-step explanation:
180-46 = 134
180 - 13 = 177
177-134 = 43
? = 43
elena sews a ribbon across the bottom of a scarf that is one yard long .she has sewed 3/8 yard of ribbon so far.how much more ribbon does she need to sew to finish the whole scarf?
Answers
[tex]Total \: length = 1 \: yard \\ Finished \: length = \frac{3}{8} \: yard \\ \\ so \: remaining \: length \\ = total \: length - finished \: length \\ = 1 \: yard - \frac{3}{8} \: yard \\ = \frac{8}{8} \: yard - \frac{3}{8} \: yard \\ = \frac{5}{8} yard[/tex]
This is the answer.
Hope it helps!!
What is the answer and the way of writing method for 4.15 × 3.85 Evaluate
Answers
Step-by-step explanation:
4.15 × 3.85
= (4 + 0.15) ( 4 - 0.15)
= (4)^2 - (0.15)^2
= 16 -- 0.0225
= 15.9775
HOPE IT HELPS
I need e and f
And some explanation
Answers
What is the slope of the line passing through the points
(-3, - 5) and (-1,6)? (URGENT)
Answers
Hope your day is going well
Slope equation is y2-y1/x2-x1
Y2= 6
Y1= -5
X2 = -1
X1 = -3
6 - -5/ -1 - -3
11/2 is the fraction
Decimal form 0.18
Hope this helps *smiles*
Sorry if this is wrong
