well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.
Classify: −4m+21(m−1)≤15m+2(m−1).
Answer:
[tex]\boxed{\sf All\: real\: numbers}[/tex]
Step-by-step explanation:
[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]
Apply Distribution law:
[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]
Combine like terms:
** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]
[tex]\sf 2(m-1)[/tex]
[tex]\hookrightarrow 2m-2[/tex]
-----------------------------------------
[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]
Combine like terms:
** [tex]\sf 15m+2m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]
Add 21 from both sides:
[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]
[tex]\longmapsto\sf 17m\le \:17m+19[/tex]
Subtract 17m from both sides:
[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]
[tex]\longmapsto\sf 0\le \:19[/tex]
Therefore, the solution of the inequality: All real numbers
_____________________________________________
Pre college need help
Answer:
Yes
Step-by-step explanation:
Again substitute the values in and see if they give the same value or not
How many different 3 topping pizzas can be made if 10 different toppings are available?
9514 1404 393
Answer:
120
Step-by-step explanation:
We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...
10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120
120 different 3-topping pizzas can be made if 10 toppings are available.
_____
Additional comment
If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.
For the function f(x) = 4x3 + 3x + 1, find f '(1).
A.
15
B.
8
C.
12
D.
13
Answer:B
Step-by-step explanation:
Admission to a baseball game is $2.50 for general admission and $5.00 for reserved seats. The receipts were $3667.50 for 1109 paid admissions. How many of each
ticket were sold? (Round to nearest integer if necessary.)
The general admission tickets sold are 1467 and the number of reserved seats tickets sold is 358.
Two equations would be derived from the question:
$2.50a + $5b = $3667.50 equation 1
a + b = 1109 equation 2
Where:
a - number of people for the general admission
b = number of people for the reserved seats
To determine the value of b, take the following steps:
Multiply equation 2 by 2.5
2.5a + 2.5b = 2772.50 equation 3
Subtract equation 3 from 2
2.5b = 895
Divide both sides by 2.5
b = 358
In order to determine the value of a, substitute for b in equation 2
358 + a = 1109
a = 1109 - 358 = 1467
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
What is the value of x in the equation
1/2 x - 3/4 = 3/8 - 5/8
Answer:
The value of x is 1
Step-by-step explanation:
1/2 x - 3/4 = 3/8 - 5/8 x
1/2 x + 5/8x = 3/8 + 3/4
9/8 x = 9/8
x = 1
Can someone please answer this question? Someone answered and they deleted their answer, so I need someone else to help me!
Please do not delete your answer, steal the points, or send links, I really need some help!
Check the picture below.
now, notice the triangles made, 3 right triangles with legs of 5 and 4 each.
looking at quadrilateral (1), from the leg 5 units long, we have a line with a run of -1 and a rise of 3, from the leg 4 units long, we have a line with a run of 4 and a rise of -1.
Now, quadrilaterals (2) and (4) display the same lengths and rise and runs, which means they're all congruent, quadrilateral (3) has no equal.
so 1 ≅ 2 and 1 ≅ 4.
Miguel, Christian, Amber, Sophia, and Kadin eat dinner together at Texas Roadhouse. The total bill is $53.25. They decide they want to split the bill evenly. How much should each person pay?
ill give brainliest plz help
Answer:
10.65
Step-by-step explanation:
just divide 5 [because there are five people] with $53.25 [the amount of money]
then the answer will be 10.25
thank you
hope it was helpful
Jacob travels to the shops 5 miles from his home, then he travels to the
post office 3 miles from the shops. Afterwards he travels home. What is
the total distance Jacob traveled? What is the total displacement of
Jacob?*
Distance 8 miles : Displacement 8 Mlles
Distance 16 Miles: Displacement 0
Distance 8 Miles: Displacement 8 Miles
Distance 6 miles : Displacement 8 miles
Answer:
[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]
Step-by-step explanation:
Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.
Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.
Hope it helps :) and let me know if you want me to elaborate.
If you paid $160 in interest to a loan company for the use of $10000 of or 30 days, what annual simple interest rate did they charge?
Answer:A loan company charges $30 interest for a one month loan of $500. Find the annual interest rate they are charging.
Step-by-step explanation:You will earn $160 interest total over the four years. Try it Now 1. A loan company charges $30 interest for a one month loan of $500. Find the annual interest ...
In a certain chemical the ratio of zinc to copper is 4 to 15. A jar of the chemical contains 345 of copper how many grams of zinc does it contain ?
Answer:
92.
Step-by-step explanation:
By proportion the mass of zinc = (345/ 15) * 4
= 92.
How many numbers are prime between 40 and 50?
Step-by-step explanation:
Correct answer:
(The primes between 40 and 50 are 41, 43, and 47 - three.
no link no bot right please
Answer:
2143.57 cm^3
Step-by-step explanation:
the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57
Put the following numbers in order on the number line below.
1/2
1 1/2
3/5
1/4
1 3/4
1 1/4
7/8
Answer:
1/4
1/2
3/5
7/8
11/4
13/4
11/2
Rodolfo has 15 toys in a toy box, and he adds 2 new toys every month. Based on this information , which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passed, x?
Answer: The image listed below. It's the only valid answer that best shows the numbers of toys Roldlfo has in his toy box, y, and the number of months that have passed, x.
-5 1/5 + 3.7 + 5 1/10 how to solve
Answer:
to find the answer u have to simplify
cho a,b,c là các số nguyên. Chứng minh rằng nếu a mũ 3 + b mũ 3 + c mũ 3 chia hết cho 9 thì một trong các số a , b ,c chia hết cho 3
Answer:
let a, b, c be integers. Prove that if a to the power 3 + b to the power 3 + c to the power 3 is divisible by 9, then one of the numbers a , b , c is divisible by 3
Step-by-step explanation:
Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)
Answer:
20 m
Step-by-step explanation:
1/50 = 40/x
Cross multiply.
1 × x = 50 × 40
x = 2000
2000 cm × (1 m)/(100 cm) = 20 m
Answer: 20 m
in which town does the total number have meaning
its a joke but how come hotdog buns are pact in 8 and hotdog meat is pact in 10
Answer:
every 5 bun packs : 4 hotdog meat pack
5:4
Step-by-step explanation:
Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.
What’s 19.50 simplified?
Answer:
39/2
Step-by-step explanation:
This is out of context
Answer:
1950/100
Step-by-step explanation:
the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books
Answer:
the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books
If you roll a die twice , what is the probability that sum of the two die 8 will appear
Answer:
5/36
Step-by-step explanation:
Answer:
the probability of getting a total greater than 8 is 10/36=5/18
Step-by-step explanation:
Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.
Therefore, the probability of getting a total greater than 8 is 10/36 which equals 5/18
Find a polynomial F of X of degree four that has the following zeros. 7, -3, 0, 4 leave your answer in Factored form
Answer:
f(x) = (x - 7)(x + 3)(x)(x - 4)
Step-by-step explanation:
It's just like the roots of a quadratic but with more factors
f(x) = (x - 7)(x + 3)(x)(x - 4)
Describe the slope of the line.
Answer:
-3/5
Step-by-step explanation:
Just ask.
Hope this helps! :)
can i have some help pls
Answer:
the first recipe
Step-by-step explanation:
We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.
Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.
nuts to cereal ratio = 2 1/2 : 5 = 1 : 2
Recipe 2: 1 cups of nuts per 3 cups of cereal.
nuts to cereal ratio = 1 : 3
1 : 2 is a higher ratio than 1 : 3
Answer: the first recipe
Which of the following is a factor of
f(x) = x - 3x² - 64x - 60?
(x - 1)
(x - 3)
(x + 10)
(x+6)
Answer:
x-1
MARK ME BRAINLIEST PLSRewrite 5/6 and 6/7 so they have a common denominator
Answer:
a command demonimater of 6 and 7 is 42
35/42 and 36/42
Hope This Helps!!!
In a garden 30% of the plants are carrots. If 63 plants are not carrots, how many of the plants are carrots.
Must show each step.
Answer: 27 see my work
Step-by-step explanation:
1. We know that 30% are carrots, meaning that 70% are not carrots (30% + 70% = 100%)
2. Since 70% and 63 of the plants are not carrots, we know that 63 = 70%
3. We need to find 30% of the plants (all of the carrots) so let’s divide 63 by 7
63 = 70%
*divide both by 7*
9 = 10%
4. We know that 9 plants is equivalent to 10% of the plants, so let’s multiply by 3 to get the number of carrots
9 = 10%
*multiply by 3*
27 = 30%
There are 27 carrots
