Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]f(x) = \frac{2x + 3}{4x + 5} \\[/tex]
For [tex]f(-9)[/tex], put "[tex]-9[/tex]" for every value of "[tex]x[/tex]".
[tex]↬f( - 9) = \frac{2( - 9) + 3}{4( - 9) + 5}\\ [/tex]
[tex]↬ f(-9) = \frac{ - 18 + 3}{ - 36 + 5} \\[/tex]
[tex]↬ f(-9) = \frac{ - 15}{ - 31}\\ [/tex]
[tex]↬ f(-9)= \frac{15}{31}\\ [/tex]
[tex] ↬f(-9)= 0.48\\ [/tex]
[tex]\bold{ \green{ \star{ \red{Mystique35}}}}⋆[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{f(x) = \dfrac{2x + 3}{4x + 5}}[/tex]
[tex]\mathsf{y = \dfrac{ 2x + 3}{4x + 5}}[/tex]
[tex]\mathsf{y = \dfrac{2(-9) + 3}{4(-9) + 5}}[/tex]
[tex]\mathsf{2(-9)}[/tex]
[tex]\mathsf{\bf = -18}[/tex]
[tex]\mathsf{y = \dfrac{-18 + 3} {4(-9) + 5}}[/tex]
[tex]\mathsf{-18 + 3}\\\mathsf{= \bf -15}[/tex]
[tex]\mathsf{y = \dfrac{ -15} {4(-9) + 5}}[/tex]
[tex]\mathsf{4(-9)}\\\mathsf{\bf = -36}[/tex]
[tex]\mathsf{y = \dfrac{-15}{-36 + 5}}[/tex]
[tex]\mathsf{-36 + 5}\\\mathsf{= \bf-31}[/tex]
[tex]\mathsf{y = \dfrac{-15}{ -31}\rightarrow\boxed{\bf \dfrac{15}{31}}}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: } \boxed{\bf f(-9) = \dfrac{15}{31}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Related Questions
If an interviewer did not properly follow skip patterns specified in a questionnaire, the ______________ step in data analysis would reveal the problem.
Answers
Answer:
validation
Step-by-step explanation:
A quantitative research can be defined as any research that is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.
This ultimately implies that, a quantitative research uses closed-ended questions such as how many, how much, and the answers to these questions are mainly numerical in nature.
A questionnaire can be defined as a form that comprises of series of questions used as a means of gathering or obtaining data for a research or study.
Generally, if an interviewer fail to properly follow skip patterns specified in a questionnaire, the validation step in data analysis would reveal the problem.
During the validation stage, the data obtained are accessed to confirm whether or not they're authentic.
What value of x is in the solution set of
[tex]3(x - 4) \geqslant 5x + 2[/tex]
A. -10
B. -5
C. 5
D. 10
Answers
Answer:
Option A: x = -10 is a solution.
Step-by-step explanation:
Here we have the inequality:
3*(x - 4) ≥ 5*x + 2
We can solve this for x as follows:
first, expand the left side:
3x - 12 ≥ 5x + 2
now, move all the terms with x to one side, and the other terms to the other side:
-12 - 2 ≥ 5x - 3x
-14 ≥ 2x
now let's divide both sides by 2
-14/2 ≥ 2x/2
-7 ≥ x
So the solutions are values smaller than -7
In the options, the only value smaller than -7 is the first one:
A: -10
Then the correct option is A.
Can someone help me with this
Answers
Answer:
a = 17
c = 9
Step-by-step explanation:
2a + 3c = 61
3a + 5c = 96
3a = 96 - 5c (solve for 'a'. Then you can substitute)
a = 32 - [tex]\frac{5}{3}[/tex] c
2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61 (Substitute)
64 - [tex]\frac{10}{3}[/tex]c + 3c = 61 ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])
-[tex]\frac{1}{3}[/tex] c= -3
c = 9
2a + 3(9) = 61
2a + 27 = 61
2a = 34
a = 17
fy
This graph shows a portion of an even function,
Use the graph to complete the table of values.
6
X
f(x)
-1
4
-3
-5
-6
2
DONE
2
Answers
Answer:
From top to bottom;
1,1,3,3
Step-by-step explanation:
mathematically, for an even function;
f(x) = f(-x)
what this mean is that;
f(-1) = f(1)
f(-3) = f(3)
f(-5) = f(5)
f(-6) = f(6)
so we have it that;
f(-1) = 1
f(-3) = 1
f(-5) = 3
f(-7) = 3
An angle measures 16.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
Step-by-step explanation:
Let one angle = A
Let the other angle = B
A + B = 180
A = B - 16.4 Substitute for A in the top equation
B - 16.4 + B = 180 Combine the left
2B - 16.4 = 180 Add 16.4 to both sides
2B = 180 + 16.4
2B = 196.4 Divide by 2
B = 196.4/2
B = 98.2
A = B - 16.4
A = 98.2 - 16.4
A = 81.8
The diagram shows a prism …,
Answers
Answer:
See figure below.
Step-by-step explanation:
See the figure below.
in the figure above, x =
Answers
what shape is this cause I'm having a bit of trouble?
Answers
Answer:
isn't that a square or is it called sum eles-
Step-by-step explanation:
What is the true solution to the logarithmic equation below?
log Subscript 4 Baseline left-bracket log Subscript 4 Baseline (2 x) right-bracket = 1
Answers
Answer:
x = 2Step-by-step explanation:
Given:
log ₄ (2x) = 1Solving for x:
2x = 4¹2x = 4x = 2Answer:
128 on edg
Step-by-step explanation:
i thought it was 2 aswell double checked it on a graphing calculator its 128
if tanA=12/16,find sin 2A
Answers
First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)
Second, we need to determine the length of the unknown side.
In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is
[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]
[tex]c = 20[/tex]
After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.
We know that,
sin 2A = 2 sin A cos A
Then, we need to determine the values of sin A and cos A.
Based on the figure (attached photo), the values of sin A and cos A are
sin A = opposite side / hypotenuse
sin A = 12/20
sin A = 3/5
cos A = adjacent side / hypotenuse
cos A = 16/20
cos A = 4/5
Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.
Therefore, the the value of sin 2A is
sin 2A = 2 sin A cos A
sin 2A = 2(3/5)(4/5)
sin 2A = 24/25
a pair of integers whose difference is -12
Answers
There can be infinitely many pair of integers that have the difference -12.
Examples:
1. (12),(24)
{12-24}
2. (24), (36)
{24-36}
3. (0),(12)
{0-12}
Which is a simplified form of the expression -9(y + 1) + 5y?
A. 4y + 9
B. 6y + 1
C. -14y + 9
D. -4y - 9
Answers
Answer:
option D
Step-by-step explanation:
[tex]-9( y+ 1) + 5y\\\\= -9y - 9 + 5y \\\\= -4y - 9[/tex]
D is the correct answer
Log problem below in the picture
Answers
Your answer is 2.98004491789381.
what is the maximum value of y=-x^2-x+6 ?
Answers
Answer:
[tex]{ \tt{y = - {x}^{2} - x + 6 }} \\ { \tt{ \frac{dy}{dx} = - 2x - 1}} \\ f {}^{'} (x) = - 2x - 1 \\ f {}^{'}(1) = - 2 - 1 \\ = - 3 [/tex]
Given cosΘ=2/3 and sinΘ>0, find sinΘ
(Just for clarification, those zeros with horizontal lines in the center represent theta)
Answers
Answer:
sinΘ = √5/3
Step-by-step explanation:
Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse
The sine of an angle is the ratio of the opposite to the hypotenuse
So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3
From the Pythagoras’ theorem, we can get the opposite
Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the opposite as x
3^2 = 2^2 + x^2
9 = 4 + x^2
x^2 = 9-4
x^2 = 5
x = √5
This root can be positive or negative
But since the sine is positive, we shall be considering only the positive root
Thus;
sine theta = √5/3
When do you need to state a domain in your final answer?
Answers
Answer:
Not sure what you are asking.
Domain is all x values .
It can be stated in coordinates (x,y). X is the input. Y is output
It can be stated in Domain Notations such as {x | x ≥ 0}
(x2/5)n
For what value of n, written as a decimal, will the expression equal x?
Answers
Given:
The expression is:
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
To find:
The decimal value of n so that the value of the given expression is equal to x.
Solution:
We have,
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
This expression is equal to x.
[tex]\left(x^{\frac{2}{5}\right)^n=x[/tex]
[tex]x^{\frac{2}{5}n}=x^1[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents, we get
[tex]\dfrac{2}{5}n=1[/tex]
[tex]2n=5[/tex]
[tex]n=\dfrac{5}{2}[/tex]
[tex]n=2.5[/tex]
Therefore, the required value of n is 2.5.
find the area of the rectangle whose dimensions are 9cm and 8cm.
Answers
Answer:
72 cm²
Step-by-step explanation:
Area = 9(8) = 72
..............
solve the following simultaneous linear equations by the substitution method.
3x + 4y = 1
2x + 3y = 1
Answers
[tex]\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)[/tex]
Please look at picture answer and explain work
Answers
Answer: The answer is D. 240 grams
Step-by-step explanation:
1. Find the volume.
2cm×3cm×5cm=30 cubic centimeters
2. Find the volume of the other box.
4cm×9cm×5cm=180 cubic centimeters.
3. Divide. 180÷30=6
4. 6 times the amount it can hold, 40=240 grams of clay.
Hope that helped!
Answer:
Step-by-step explanation:
we are told that the box is 2 cm high, 3 cm wide 5 cm long and holds 40 grams of clay
so 2*3*5 = 30 [tex]cm^{3}[/tex]
so the 30 cubic centimeter volume holds 40 grams ( it would have been nice if they had let the box hold 30 grams but, no :(
40/30 = 1.333333 or 1 and [tex]\frac{1}{3}[/tex] of a gram okay, sooooo now we know each cubic centimeter holds that much clay, now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice, below I solve it
twice the height so 2(2)=4 high
3 times the width , so 3(3) = 9 wide
same length, so 5 long
4*9*5 = 180
180*1.33333333333 = 240 grams of clay in 2nd bigger box :)
I'm sure there is a funny box joke in there some where :DDDD
do you get the math? :)
Covert 1.18 into a fraction
Answers
1 9/50 is the answer
Answer:
13/11
Step-by-step explanation:
| would assume you mean 1.18 recurring, because 1.18 as a fraction is 59/50.
To work out 1.18 recurring, first we ignore the 1.0 and focus on 0.18 recurring.
If x = 0.18 recurring
100x = 18.18 recurring
99x = 18
x = 18/99
= 2/11
Now, we add on the 1.0 (11/11) to get 13/11
What is the value of the median ?
1. 8
2. 4
3. 6
4. -4
Answers
Which equation will solve the following word problem? Vanessa spent $87.00 on entertainment for the week. Her rent costs twelve dollars less than double that amount. How much does Vanessa spend on rent?
2 * $87 - $12 = R
2R = $87 + $12
2R - $12 = $87
2($87) - 2($12) = R
Answers
Answer:
2 * $87 - $12 = R
Step-by-step explanation:
Let R represent the cost of Vanessa's rent.
Vanessa spent $87.00 on entertainment for the week.
Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become
R = 2(87) - 12
R =
R = 174 - 12
The correct option is
2 * $87 - $12 = R
Solve |x +6| – 7 = 8.
Answers
Answer:
[tex](x + 6) - 7 = 8[/tex]
[tex]x + 6 - 7 = 8[/tex]
[tex]x - 1 = 8[/tex]
[tex]x = 8 + 1[/tex]
[tex]x = 9[/tex]
solve 2x+3y=11, 2x-4y=-24 ny cross multiplication method
Answers
__________ _________ _________
(3*-24)-(-4*11) = (11*2)-(-24*2) =(2*-4)-(2*3)
x y 1
_______= ___________ = __________
-72-44 22-(-24) -8-6
I hope it will help you
If (1/2)^n = 32, then what is n?
Answers
Answer:
2.32*10^-10
Step-by-step explanation:
n will change its position with 32
(1/2)^32=n
n=2.32*10^-10
A balloon is going vertically upwards at a speed of 10 ms-1 . When it was 30 m above the ground, an object is dropped from it. How long does the object take to reach the ground? (g = 10 ms-1 )
Answers
Answer:
t ≈ 3.65 s
Step-by-step explanation:
Let the distance the object travels after leaving the balloon be x.
Using Newton's equation of motion, we have;
s = ut + ½gt²
We are given;
s = 30 m
u = -10 m/s (negative because it is an upward motion)
Thus;
30 = -10t + ½(10)t²
30 = -10t + 5t²
5t² - 10t - 30 = 0
Using quadratic formula, we have;
t ≈ 3.65 s
Someone help me asap
Answers
Answer:
A
Step-by-step explanation:
There are 270 minutes in 4.5 hrs.
divide that by 45, you get 6.
50*3^6 is 36,450
Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
x = 2.1
Step-by-step explanation:
We have:
[tex]\frac{x}{sin90}[/tex] = [tex]\frac{1.3}{sin38}[/tex]
=> sin38 × x = sin90 × 1.3
=> x = 1.3 ÷ sin38
=> x = 2.11155001... = 2.1
<3 Have a nice day!!
The value of x for the given triangle will be, x = 2.1.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances and is applied in a wide range of fields such as engineering, physics, architecture, and navigation, among others.
The value of x will be calculated as,
x / sin(90) = 1.3/ sin(38)
sin38 × x = sin90 × 1.3
x = 1.3 ÷ sin38
x = 2.11155001...
x = 2.1
The value of x will bed x =2.1.
To know more about trigonometry follow
https://brainly.com/question/26936516
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The purpose of a Chi-Square test is to examine the relationship between an explanatory categorical variable and a response quantitative variable examine relationships between two quantitative variables. examine relationships between two categorical variables. examine the relationship between an explanatory quantitative variable and a response categorical variable None of the above are true
Answers
Answer:
b). Examine relationships between two categorical variables
Step-by-step explanation:
The chi-square test of independence is used to determine if there is a significant relationship between 2 Categorical variables. In the data set-up for the Chi-Square Test of Independence, at minimum, your data should include two categorical variables and each categorical variable must include at least two groups.