The value of (f-g)(x) is 2x³ + 7x²-7x-3.
As we know that, the composition of functions is the criteria of combining two or more functions into a single function. A function represents some work. The combination of two or more function always results in a new function.
Given that, f(x) = 2x³ + 7x² - 4x - 5 and g(x) = 3x - 2 and we have to calculate the value of (f - g)(x).
Suppose h(x) = (f - g)(x)
Now, we simply have to solve (f - g)(x), let's proceed to solve
= (f - g)(x)
= f(x)-g(x)
= 2x³ + 7x² - 4x - 5-(3x-2)
= 2x³ + 7x² - 4x - 5-3x+2
= 2x³ + 7x²-7x-3
h(x) = (f - g)(x) = 2x³ + 7x²-7x-3
∴ (f - g)(x) = 2x³ + 7x²-7x-3
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Which of the following expressions represents 3 less than 5 times a number
A) 5n - 3
B) 5 - 35
C) 3n - 5
D) 3 - 5
Answer:
A)
Step-by-step explanation:
The correct expression which represents ''3 less than 5 times a number'' would be,
A) 5n - 3
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that,
A mathematical expression is,
''3 less than 5 times a number''
Let us assume that,
A number = x
Hence, the expression to represent ''3 less than 5 times a number'' is,
⇒ (5 × n) - 3
⇒ 5n - 3
So, the correct option is,
A) 5n - 3
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The equation y=6.88x-199 models the number of visitors at a pool,y, and the air temperature in degrees there are 426 visitors at the pool one hot day what is the expected air temperature on that da round your answer to the nearest degree
Answer:
[tex]\approx 91^\circ[/tex]
Step-by-step explanation:
The given equation to represent the model for the relationship between [tex]x[/tex] and [tex]y[/tex].
[tex]y=6.88x-199[/tex]
[tex]x[/tex] represents the air temperature in degrees and
[tex]y[/tex] represents the number of visitors at a pool.
Also given that number of visitors at the pool on a particular day is 426.
To find:
The expected air temperature as per the number of visitors.
Solution:
Here, we are given a linear equation to represent the relation between two variables.
Value of one variable is given and we have to find the value of other variable.
i.e. we are given that:
[tex]y=426[/tex] and we have to find the value of [tex]x[/tex].
Let us put the value in the equation:
[tex]426=6.88x-199\\\Rightarrow 6.88x = 426 + 199\\\Rightarrow x = \dfrac{625}{6.88}\\\Rightarrow \bold{x \approx 91^\circ}[/tex]
15 pts for this question :)
Answer:
it is not a function
The perimeter of a semicircle is 5.14 inches what is the semicircle radius
Answer:
Radius = 1 in.
Step-by-step explanation:
Let the radius be 'r'. Diameter = 2r
Perimeter of a semicircle = Circumference of semi circle + Diameter
[tex]=>\pi r + 2r = 5.14 in.[/tex] (Let the value of π be 3.14)
[tex]=> 3.14r + 2r = 5.14in.\\=>5.14r=5.14\\=>r =\frac{5.14}{5.14} =1in.[/tex]
If connie pays $100 for 8 baskets, what is the unit rate for each Basket?
Y
Which is the equation of the graphed line written in
standard form?
4
3
y = x
2
ox-3y = 0
5 -3 2-1
1
2
3
4
5
X
1 x - y = 0
2.
y = x
4
Answer:
C. x - y = 0
Step-by-step explanation:
First find write the equation in slope-intercept form, then rewrite to convert to standard form as Ax + By = C.
Equation in Slope-intercept form:
Find m and b
m = rise/run = 1/1 = 1
b = y-intercept = 0 (where the line intercepts the y-axis)
Substitute m = 1, and b = 0 into y = mx + b
Thus:
y = (1)(x) + 0
y = x
Rewrite to convert to standard form.
Thus, the equation in standard form would be:
x - y = 0
Write the linear function that corresponds to the values in the table below. (-4,10), (-3,6),(-2,2),(-1,-2)
What is the area of `∆STR`?
A.30 square feet
B. 34.5 square feet
C. 57.5 square feet
D. 60 square feet
PLEASE HELP ME I WILL GIVE YOU EXTRA POINTS.
Answer:irdk im aorry i wish i could help because im in the same boat.
Step-by-step explanation:
Answer:
The very last one is the correct answer.
Step-by-step explanation:
1 * 3 = 3
6 * 3 = 18
Do this for the other ones and you will get it right.
Find the inequality represented by the graph
Answer:
y /< 5/2 x +5
Step-by-step explanation:
y is less than or equal to 5/2 x plus 5
since its a solid line and shaded below you would use less than or equal to
directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7
(1) 2x + 3y = 31 y
(2) 2x + 3y = x + 7
(3) 31y = x + 7
(3) x = 31y - 7
(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17
(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17
x = 98/17 ≈ 5.76
y = 7/17 ≈ 0.41
5/8 and 3/4 I need an answer pleaseee
I'm not sure what you mean but I'll provide both.
5/8 + 3/4
11/8 or 1 3/8.
The common denominator of 5/8 and 3/4 is 8. 3/4 with a denominator of 8 would be 6/8.
5/8 + 6/8 = 11/8 or 1 3/8.
5/8 × 3/4
15/32.
Multiply the numerator by the numerator and the denominator by the denominator.
5 times 3 is 15 and 8 times 4 is 32.
So you get 15/32. This cannot be simplified.
Every month, Veronica deposits $230 in an account with an interest rate of 6% compounded monthly. How much money will she have in the account at the end of the first 5 years? (Round to the nearest cent. Do not enter the $ sign.)
Answer:
Veronica will have $310.04 at the end of first five years.
Step-by-step explanation:
Principal Amount P = $230
Interest Rate r = 6%
Time t = 5 years
Compounded monthly n = 12
We need to find the future amount (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]
So, Veronica will have $310.04 at the end of first five years.
What is the result of isolating x² in the equation below?
(x+1)² + (y-8)² = 9
OA. x²=-y²-2x+16y-56
OB. x² = y² +2x+16y+56
C. x = -² -56
D. * = y² +56
The required result of the identity is [tex]x^{2} =-y^{2}-2x+16y-56[/tex].
To isolate the algebraic expression given below we need to simplify it and then make [tex]x^{2}[/tex] the subject of the equation,
For that we must know the identity [tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex].
We will break the given equation on the basis of the given identity.
Now, [tex](x+1)^{2} +(y-8)^{2}=9\\[/tex]
⇒[tex]x^{2} +2x+1+y^{2}-16y+64=9\\[/tex]
⇒ [tex]x^{2} =-y^{2}-2x+16y-56[/tex]
So, the required result of isolating the above given equation is as above.
The correct answer is option B.
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Help would be very much appreciated:)
Answer:
3 times x plus seven
Step-by-step explanation:
k
The three angles in a triangle are in the ratio 1:3:5. Find the angles
Answer:
1:3:5
20:60:100
Step-by-step explanation:
angles in a triangle add up to 180
so we add 1,3 and 5 to get 9
to find out how much 1 part is worth we do 180÷9 to get 20
so 1 part=20
so we we do:
20x1=20
20x3=60
20x5=100
Answer:
30:60:100
Step-by-step explanation:
angles of triangle =180°
sum of ratios
1+3+5=9
finding for the first one which is one
1/9×180°=20°
finding for the second one which is three
3/9×180°=60°
finding for the third one which is five
5/9×180=100°
adding all the angles
20°+60°+100°=180°
Desmond ordered his favourite pizza with 12 slices. Sadly, he could finish only %75 percent of the whole pizza.
How many pizza slices were left?
Answer:
3
Step-by-step explanation:
Left = 100% - 75% = 25%
No. of pizza slices left = 12 × 25%
= 12 × [tex]\frac{25}{100}[/tex]
= 3
A bottle of water costs $1.48 at the local store. If Edwin buys 8 bottles of water, how much will he spend? *
Answer:
$11.84
Step-by-step explanation:
$1.48 x 8 = $11.84
which of the following scenarios could be modeled by the expression 3/2 divided by 1/4
Answer:
I believe C.
Explanation:
I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.
HELP PLS FOR BRAINLIEST
The square of m reduced by 32.
2m - 32
m^2 - 32
32 - m^2
m^2 + 32
The product of 5 and r, and then increased by k.
5r - k
5r + k
k - 5r
5r/k
A number x is tripled and then decreased by 10.
3x - 10
3x + 10
x^3 - 10
x^3 + 10
8 reduced by the sum of x and y.
8(x - y)
(x + y) - 8
8 - (x + y)
8 + (x + y )
4 more than the product of 8 and n.
8n - 4
8n + 4
4(8 + n)
(8 + n) - 4
6 less than the sum of 9 and d.
6 - 9d
9d + 6
6 - (9 + d)
(9 + d) - 6
Eighty less than four times a number.
4x - 80
4x + 80
4x / 80
80 - 4x
Yvonne (y) runs three times as fast as Xavier (x). What is an algebraic translation of this?
y = 2x
y = 3x
y = 1/2x
y = 1/3x
n divided by 5
n/5
5n
n + 5
n - 5
a take away 19
a - 19
19 - a
a + 19
19a
Answer:
The square of m reduced by 32
m^2 - 32
The product of 5 and r, and then increased by k
5r + k
A number x in tripled and then decreased by 10
3x - 10
8 reduced by the sum of x and y
8 - (x + y)
4 more than the product of 8 and n
8n + 4
6 less than the sum of 9 and d
(9 + d) - 6
Eighty less than four times a number
4x - 80
Yvonne (y) runs three times as fast as Xavier (x). What is an algebraic translation of this?
y = 3x
n divided by 5
n/5
a takeaway 19
a - 19
Misha solves the equation 3 x minus 2 (x + 3) = 4 (x minus 2) minus 7 by applying the distributive property to each side of the equation. The result is 3 x minus 2 x minus 6 = 4 x minus 8 minus 7. Misha then wants to combine like terms. Which are the terms Misha should combine? 3x – 2x and –8 – 7 3x – 2x and 8 – 7 3x – 2x + 4x and –6 – 8 – 7 3x – 2x – 6 and 4x – 8 – 7
Step-by-step explanation:
The given equation is : 3x-2(x+3)=4(x-2)-73x−2(x+3)=4(x−2)−7
On solving this equation and applying the distributive property, we have
⇒3x-2x-6=4x-8-73x−2x−6=4x−8−7
⇒x-6=4x-15x−6=4x−15
Combining the like terms like terms consisting of x are solved together and the constants are solved together,
⇒x-4x=-15+6x−4x=−15+6
⇒-3x=-9−3x=−9
⇒x=3x=3
Answer:
The answer is A. i just guessed and got it right
Step-by-step explanation:
correct on edge 2020
Find the value of x in the parallelogram below.
Answer:
129
Step-by-step explanation:
the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129
8. Write the equation in Slope-Intercept Form with the following, information:
Remember, plug into point-slope, y - y, = m(x - x,), then solve down I
Passes through (7, 4) with a slope of -3
The slope-intercept equation of the given line is 3x + y = 25
Slope-intercept is one of the special forms of linear equations where we can find the slope-intercept of any point with its coordinates and its slope.
The line is passing through the point(x₁,y₁) = (7,4)
The slope of the line line(m) = -3
Slope-intercept equation
y-y₁ = m( x- x₁)
Where (x₁,y₁) is (7,4) and Slope,m is -3
Let us substitute these values in the slope-intercept equation, It becomes
y - 4 = -3(x - 7)
y - 4 = -3x + 21
3x + y = 21 + 4
3x + y = 25
which is the slope-intercept equation of the points (7,4) and slope -3
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Factor completely
81x^12 - 1
Answer:
81x^(2)-1
Step-by-step explanation:
Rewrite 81^(2) as (9x)^(2)
Rewrite 1 as 1^(2)
Since they are perfect squares , factor using the perfect squares formula
(9x + 1) (9x - 1)
What is the domain of the relation {(–2, 5), (0, 0), (3, –2), (4, 6)}
{–2, 0, 5, 6}
{–2, 0, 3, 4}
{–2, 0, 3, 4, 5, 6}
{–2}
Answer:
second option
Step-by-step explanation:
what is 2w - g- 7w + 3g =
Answer:
first collect the like terms:
2w- 7w -g+ 3g
Then subtract 2w with 7w
2w-7w=-5w
after you also subtract negative g with 3g
-g+3g= 2g
which makes the answer 5w + 2g
The music teacher asked his class to vote for their favorite instrument and created a pie chart to display the results.
There are 20 students in his class. Which statements are true? Check all that apply.
THE ANSWER IS B,D,E,F!!!!
Answer:
bdef
Step-by-step explanation:
Answer:
b= brains b= dad e= end f= fun
Step-by-step explanation:
A model rocket is launched with an initial upward velocity of 156ft/s . The rocket's height h (in feet) after seconds is given by the following. h= 156t-16t^2
The values of t for which the rocket's height is 60 feet are t = 0.40 and t = 9.35
How to determine the values of t for which the rocket's height is 60?The function is given as:
h = 156t - 16t^2
When the height is 60 feet, we have:
156t - 16t^2 = 60
Rewrite as:
16t^2 - 156t + 60 = 0
Divide through the equation by 4
4t^2 - 39t + 15 = 0
Next, we solve the equation using a graphing calculator
From the graphing calculator, we have:
t = 0.40 and t = 9.35
Hence, the values of t for which the rocket's height is 60 feet are t = 0.40 and t = 9.35
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A model rocket is launched with an initial upward velocity of 156ft/s . The rocket's height h (in feet) after seconds is given by the following. h= 156t-16t^2
Find all values of t for which the rocket's height is 60 feet
is the relationship in this picture a function
if so why?
Answer:
PLEASE BE CAREFUL NightmareMech14 IS A PREDATOR HE ASKS FOR VIDEOS OF GIRLS AND TRYS TO GET THEM TO EMAIL HIM DONT GIVE HIM ANY INFORMATION STAY SAFE COPY AND PASTE THIS EVERYWHERE
Step-by-step explanation:
Max's solar pool cover is 10 feet wide by 32 feet long. If it had a 1.5 ft overhang,
what would be the dimensions of the solar pool cover for the swimming pool?
Width
Feet
Length
Feet
का
Answer:
W=13 ft L=35 feet
Step-by-step explanation:
see detailed explanation below