Answers
Answer:
h(2) or h(g(4)) = -28
Step-by-step explanation:
g(t) = t - 2,
g(4) = 4 - 2,
g(4) = 2
h(t) = -3t³ - 2t,
h(2) = -3(2)³ - 2(2),
h(2) = -24 - 4,
h(2) or h(g(4)) = -28
Related Questions
1. Dividing thirty by one more than an integer is the same as dividing twenty-four by one less
than the integer. Find the integer algebraically using rational expressions.
Answers
Answer:
9
Step-by-step explanation:
Let the integer be n
According to the text
30 / (n + 1) = 24 / (n-1)
Cross multiply we have
30 (n -1) = 24 (n + 1)
30 n - 30 = 24 n +24
30n -24n = 30 + 24
6n = 54
n = 9.
So the integer is 9.
dentify the error in finding the distance between A(6,2) and B(1,−4).
Answers
Order from least to greatest
3.5,-2.1,√9,-7/2,√5
Answers
Answer:
-7/2,-2.1,✓5,✓9,3.5
Step-by-step explanation:
✓5=2.23
✓9=3
-7/2=-3.5
My question is in the picture attached below, thank you.
Ps: I need full explanations of the answers as said by the instructions. Thanks
Answers
The volume of a rectangular prism is the product of the prism's dimension (i.e. length, width and height). The dimension of the rectangular prism are:
[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]
Given that:
[tex]Volume = (18x^4 + 15x^3 - 12x^2)[/tex]
First, we factor out [tex]3x^2[/tex]
[tex]Volume = 3x^2 \times (6x^2 + 5x - 4)[/tex]
Expand
[tex]Volume = 3x^2 \times (6x^2 + 8x-3x - 4)[/tex]
Factorize
[tex]Volume = 3x^2 \times (2x(3x + 4) -1(3x + 4))[/tex]
Factor out [tex]3x + 4[/tex]
[tex]Volume = 3x^2 \times ((2x -1) (3x + 4))[/tex]
Rewrite as:
[tex]Volume = 3x^2 \times (2x -1) \times (3x + 4)[/tex]
The volume of a rectangular prism is:
[tex]Volume = Length \times Width \times Height[/tex]
So; by comparison:
[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]
Read more about polynomials and volumes at:
https://brainly.com/question/2141804
A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle
Answers
Answer:
3x - 13
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.
(x-6) + (x+2) + (x-9)
Group:
x + x + x - 6 + 2 - 9
3x - 13
contesteneme doy coronita y 25 puntos tambien 5 estrellas
Answers
Answer:
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80
Find the mode, median, and mean of each data set ( ASAP pls can someone help me )
Answers
Answer:
mean = 10.818181...
median = 10
mode = 5
Step-by-step explanation:
first put the numbers in order, smallest to largest
5 5 6 8 9 10 11 13 15 18 19
mean = 5+5+6+8+9+10+11+13+15+18+19 = 119 119÷11= 10.818181818... (round it)
median = 10
mode = 5
-8=x+ll/-2 solve for x step by step and answer
Answers
Answer:
x=(-5)/2
Step-by-step explanation:
-8×(-2)=-2x+11
16-11=(-2x)
x=(-5)/2
what is 2x-9=5x+12 with the step by step
Answers
Answer:
x = -7
Step-by-step explanation:
Please view the detailed answer in the image attached
Answer:
[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]
Step-by-step explanation:
x = -7
) A club on campus is selling Entertainment coupon books for $30 each. It costs the team $10 to
buy each book. The club has 500 books. The team's profit P(n) is given by the following
function where n represents the number of books sold.
p(n) = 30n - 5000
a. What does the 30n represent?
b. What does the 5000 represent?
c. How much profit would they make if they sold 400 books?
Answers
Answer: hola
Step-by-step explanationno
Find the perimeter, in units, of the polygon with the given vertices. Plot the points.
Round to the nearest tenth.
5. A(8,0), B(-3, 2), C(10, 2)
6. A(4, -3), B(7, 10), C(-8, 2)
7. A(-5,5), B(5, -5), C(-5, -5)
8. A(4, -3), B(7,10), C(-8, 2), D(-1, -5)
9. A(-4, -8), B(4, -8), C(4, 0), D(0, 3), E(-4, 0)
Answers
Answer: 9
Step-by-step explanation:
Plot the points
Find the distance of each side
add the three numbers
9
Answer:
5. 27
6. 43
7. 47
Step-by-step explanation:
Point C is on line segment BD
. Given BD=5x,BC=4x, and CD=4, determine the numerical length of BD.
Answers
Answer:
BD measures 20 units.
Step-by-step explanation:
We are given that Point C is on the line segment BD, where:
[tex]BD = 5x, BC = 4x \text{ and } CD = 4[/tex]
And we want to determine the numerical length of BD.
Since C is somewhere on BD, BD is the sum of BC and CD:
[tex]\displaystyle BD = BC + CD[/tex]
Substitute:
[tex](5x) = (4x) + (4)[/tex]
Solve for x. Subtract:
[tex]x = 4[/tex]
Hence, the value of x is 4.
BD is given by 5x. Therefore:
[tex]BD = 5(4) = 20\text{ units}[/tex]
In conclusion, BD measures 20 units.
divide rs. 560/-among A,B and C in such a way that A and B are in 2:3 while B and C are in 4:5
plz help me with this answer
Answers
Answer:
128 : 192 : 240
Step-by-step explanation:
Given that
A : B = 2 : 3
That is B = 1.5A
Then in fractional form
[tex]\frac{B}{C}[/tex] = [tex]\frac{4}{5}[/tex] , so
[tex]\frac{1.5A}{C}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4C = 7.5A ( divide both sides by 4 )
C = 1.875A = 1.875 × 2 = 3.75
The ratios of A : B : C = 2 : 3 : 3.75
Sum the parts of the ratio , 2 + 3 + 3.75 = 8.75
Divide the quantity by 8.75 to find the value of one part of the ratio
560 ÷ 8.75 = 64 , then
2 parts = 2 × 64 = 128
3 parts = 3 × 64 = 192
3.75 parts = 3.75 × 64 = 240
Then A : B : C = 128 : 192 : 240
Write a proof. Given x - 2 = 3(x - 4) Prove x = 5
Answers
x=5
Step-by-step explanation:
x-2=3(x-4)
x-2=3x-12
12-2=3x-x
10=2x
x=10/2
x=5
Answer:
x = 5
Step-by-step explanation:
x - 2 = 3(x - 4)
x - 2 = 3x - 12
-2x - 2 = -12
-2x = -10
x = 5
Find the Value of X
(please don't just give me a fake answer)
Answers
10/6=(2x+1)/(x+1)
10(x+1)=6(2x+1)
10x+10=12x+6
10-6=12x-10x
2x=4 /2
X=2
How many decimal places does
0.005011
have please? :)
Answers
Answer:
6
Step-by-step explanation:
6 decimal places
0.005011 has six decimal places.
What is a decimal place?
'The place value of a decimal number is recognized according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths.'
According to the given problem,
For the number 0.005011, after the decimal there are numbers up to the sixth place which is that there are six numbers.
For counting decimal places, we need to count the number of digits present to the right of decimal point.
Hence, we can conclude that 0.005011 has 6 decimal places.
Learn more about decimal places here:
https://brainly.com/question/26568840
#SPJ2
Y'ALL PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
Show how you got your answers I can see if it makes sense!!!
Answers
Apologies that the photo of the actual notebook is a little small, trying to handle this app’s photo-taking capabilities is a little weird for me.
An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.
How much paint is in each part?
Answers
Answer:
0.575 ounce
Step-by-step explanation:
Total paint
= Green paint + white paint
= 1.6 ounces + 1.85 ounces
= 3.45 ounces
Paint in each part if divided into 6 parts equally
= 3.45 ounces/6
= 345 ounces/600
= 23/40
= 0.575 ounce
The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Amount of green paint = 1.6 ounces
Amount of white paint = 1.85 ounces
Total paint = 1.6 + 1.85 = 3.45
The ratio of green paint to total paint = 1.6/3.45 = 0.46
Now, this ratio must be maintained in each part after dividing it into 6 equal parts.
Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58
With the same ratio,
Green paint / Total paint = 0.46
Green paint / 0.58 = 0.46
Green paint = 0.27 ounces
White paint = total paint - green paint
White paint = 0.58 - 0.27 = 0.31 ounces
Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
Compare and order the numbers below from least to greatest.
4.6, 2.8, V7, V17,
Answers
Answer:
2.8, 4.6, V7, V17
i hope it help n im sorry i can't explain
1. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price. Uses for sale price and p for original price.
Answers
100-10=90%=SP
[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]
[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]
[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]
[tex]\\ \sf\longmapsto x=5(100)[/tex]
[tex]\\ \sf\longmapsto CP=500[/tex]
A rectangle has an area of 21 square centimeters. Which of the following could be the rectangle's length and width? Area = length x width Choose all answers that apply
Answers
Mangoes cost $4 each and nectarines cost $2 each. Dominic buys m mangoes and n nectarines for $32.
Fill in the missing values to write an equation for the information given.
Answers
Answer: 6m+4n=32
Step-by-step explanation:
m=4
n=2
From this, we can deduce that m+n=32.
6*4=24 and 4*2=8. 24+8=32
So, 6m+4n=32. Hope this was what you were looking for!
The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.
Answers
Answer:
I don't know if you can solve it without the table since we have to do the calculations with the table. If you put up the table that should help alot.
10. The translation (x, y) = (x + 10, y-6) is applied to ABC to create a new image A'B'C'. Graph
A'B'C' on the coordinate plane.
Answers
Answer:
here you go mate.
These are the solutions
pls answer my question
Answers
Answer:
a=1,2,4,5,6,7
b=1,7
c=2,5
d=4,6
HCF of 32,48,64 is 16
Find (h•g)(x)
h(x)= 3x-3 and g(x)=x^2+3
Answers:
A: 3x^3 - 3x^2 + 9x
B: 3x^3 - 3x^2 + 9x - 9
C: 3x^3 + 3x^2 + 9x - 9
D: 3x^3 - 9
Answers
Answer:
the answer is b!!!!!!!!!!!!
(3x-3)(x²+3)
=x²(3x-3)+3(3x-3)
=3x³-3x²+9x-9
How to solve 3х/2+5/2= 7
Answers
Answer:
x = 3
Step-by-step explanation:
3х/2+5/2= 7
(3x+5)/2 = 7
3x+5 = 14
3x = 9
x = 3
Robert wants to buy a digital piano at a yard sale. He makes a scale drawing of his living room. He uses a scale of 1cm in the drawing to 6 inches in the actual room. The width of the digital piano is 54 inches will it fit along the wal. Next to the bookshelf ?
Answers
Answer:
It’s 48 just do 8*6=48 I don’t know how I got that answer but Ik it’s right lol
Write -0.450 as a fraction in simplest form.
Answers
Answer:
-0.450 as a fraction is -9/20
Step-by-step explanation:
Since there 3 decimal places, divide it by 1000
-450/1000 and simplify it
Show that the statement is true. If JK has endpoints J(−2, 1) and K(4, 3), and LN has endpoints L(0, 3) and N(2, 1) then JK and LN have the same midpoint.
Answers
yes they both have the same midpoint of (1,2)
Step-by-step explanation:For the midpoint of JK
[tex](\frac{-2+4}{2}, \frac{1+3}{2} )[/tex]
[tex](\frac{2}{2}, \frac{4}{2} )[/tex]
(1,2)
then for LN
[tex](\frac{0+2}{2}, \frac{3+1}{2} )[/tex]
[tex](\frac{2}{2}, \frac{4}{2} )[/tex]
(1,2)
