Answer:
-56
Step-by-step explanation:
6-91=
-85
2-31=
-29
-85--29=
-56
Answer:
-56
Step-by-step explanation:
for f(x) =4x+1 g(x)=x²-5, find (f•g)(x)
Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
Step 2: Find (f · g)(x)
Substitute: (f · g)(x) = (4x + 1)(x² - 5)Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5We know that,
[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]
By substituting values :
[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]
Hence, answer is :
[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]
Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.
Answer:
Yes it does
The constant of proportionality is 7.2
Step-by-step explanation:
Here, we are to determine if the expression represents a proportionality relationship
From the question, we can see that this is so
If we placed x beneath y, we will have
y/x = 7.2
So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship
Can you find the slope and type the correct code?
Answer:
1. (3,19) and (-1,-13)
to find the slope you need to do [tex]\frac{y2-y1}{x2-x1}[/tex]
Hence [tex]\frac{-13-19}{-1-3}[/tex]= 32/-4=-8
2. Take two points on the graph:
(-2,3) and (1,0)
Know that to calculate the slope you do
[tex]\frac{rise}{run}[/tex]= 4/2= 2
3. To find the slope in a table you need to choose any two points and utilize the following formula: [tex]\frac{y2-y1}{x2-x1}[/tex]= [tex]\frac{-16-(-8)}{2-1}[/tex]=-8/1= -8
4. Like in #1 we take the two points and plug it into the formula:
[tex]\frac{8-(-10)}{0-9}[/tex]=18/-9= -2
Please rate positively and give brainlist!
Step-by-step explanation:
Plzzz someone help I’m special
Order these numbers from least to greatest.
3.325, 3.32, 335, 7320
Answer:
3.32,3.325,335,7320
Answer:
3.32, 3.325, 335, 7,320
Hope it helps
Step-by-step explanation:
find the slope and y-intercept of the line in the equation 2y+x=-6 Show all work!
Slope=____ y-intercept=____
Can y'all please solve this.....will give brainliest ^_^
x=6,004/5.019=1.196
x=1.2
y=3.999/9.241=0.432=0.43
Answer:
1.20.43Step-by-step explanation:
[tex]x = \frac{\sqrt{36.05} }{5.019} \\ \\\sqrt{36.05}=6.00416\dots \\\\=\frac{6.00416\dots }{5.019}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{6.00416\dots }{5.019}=1.19628\dots \\\\=1.19628\dots \\\\= 1.2[/tex]
[tex]y = \frac{\sqrt[3]{63.71}}{(3.04)^2} \\\\3.04^2=9.2416\\\\=\frac{\sqrt[3]{63.71}}{9.2416}\\\\\sqrt[3]{63.71}=3.99394\dots \\\\=\frac{3.99394\dots }{9.2416}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{3.99394\dots }{9.2416}\\=0.43217\dots \\\\= 0.43[/tex]
If p(x) = 5(x² + 1) + 16, what is value of p(11)?
Answer: The answer is 626
Step-by-step explanation:
Substitute 11 for x, you get 626.
If you were to roll the dice one time what is the probability it will NOT land on a 2?
Answer:
5 / 6
Step-by-step explanation:
Given that:
Probability that a dice rolled once will not land on 2
Probability = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome = 2
P(not land on 2) = 1 - p(land on 2)
P(land on 2) = 1/6
P(not land on 2) = 1 - 1/6
P(not land on 2) = 5/6
Which set of rational numbers are ordered from least to greatest?
-3
- 2
-1 0
1
2
3
0-1-13.-14.-13
0-1,-1,-1,-1
0 -1,-11/11 - 11/20 - 11
0-13-13-13-1
Help!!
Answer:
B) -1 7/8, -1 1/2, -1 1/4, -1
Step-by-step explanation
Help Please! 50 points!
Answer:
The answer is:
Quotient: 6x^5+12x^4+17x^3+34x^2+71x+142+291/x−2
Remainder: 291
Step-by-step explanation:
I hope this helps. :)
Can you mark this as Brainliest.
Answer: The answer is:
Quotient: 6x^5+12x^4+17x^3+34x^2+71x+142+291/x−2
Remainder: 291
Step-by-step explanation:
I hope this helps. -.-
Step-by-step explanation:
what is the cost of the item that would make these discount equivalent?
Discount:
30% off $22.50 off
Answer:
$15.75
Step-by-step explanation:
Turn the percentage into a decimal.
30% = 0.3
Multiply.
22.5 * 0.3 = 6.75
Subtract.
22.5 - 6.75 = 15.75
Best of Luck!
Ms. Crump always includes a few bonus questions on her tests. Since if you get them wrong they don't count against your score, you might as well try them. However, on the last test she said you were only allowed to answer 2 of the given 5 questions offered. How many combinations of the 2 questions can you make?
Step-by-step explanation:
Possible combinations = 5C2 = 5 * 4 / 1 * 2 = 10.
Help me with this it’s due tomorrow at 11 am
Answer:
I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.
Step-by-step explanation:
Determine the solution of the equation 4y - 5= 7.
A) 4
B) 3
C)
Answer:
B) 3
Step-by-step explanation:
add 5 to both sides, 4x=12
divide both sides by 4, x=3
Answer:
The answer is B) 3
Step-by-step explanation:
You add 5 to 7 to move it from one side to the other
You should then have 4y=12
Then to solve for why you divide 12 by 4
You will get y=3
So your answer is 3
5•11+5•(-4)=5(11-4) wich property?
Answer:
Step-by-step explanation:
55
You are the president of an interior design company. You pay a part-time designer
$200 per week, plus $25 for each completed design. Write an equation to represent this
situation. Use this equation to determine how many completed designs you can have per
week if your weekly design budget is $800?
Answer: 24
Step-by-step explanation:
Okay, so if the part-time designer gets 200 dollars per week, we should subtract 200 by 800.
800 - 200 = 600.
Then we divide 600 by 25, and that will be the amount of completed designs we'll be able to have each week.
600 ÷ 25 = 24.
So in conclusion, you can pay the designer $200 per week and get 24 completed designs from him.
Hope this helps!
simplify and answer
step by step
See attachment for math work. I did number 3 only.
which is not true about the solution to the equation? x+2.27=1.53
Answer:
x = - 0.74
Step-by-step explanation:
In the system of equations below, I want to eliminate the variable y.
3x + 5y = 2
6x - 10y = -16
The first step to solving this system of equations is multiplying the first equation
by a number other than -1. Which number would that be?
The answer choices are..
-2
5
-5
2
0 -5
2.
Answer:
(x,y)=(-1,1)
Step-by-step explanation:
Given that,
3x + 5y = 2 .....(1)
6x - 10y = -16 ....(2)
Finding the value of x from equation (1).
[tex]x=\dfrac{2-5y}{3}[/tex]
Put the value of x in equation (2)
[tex]6(\dfrac{2-5y}{3}) - 10y = -16\\\\2(2-5y)-10y=-16\\\\4-10y-10y=-16\\\\-20y=-16-4\\\\y=1[/tex]
Put the value of y in equation (1) :
[tex]3x + 5(1) = 2\\\\3x=2-5\\\\3x=-3\\\\x=-1[/tex]
So, the solution of the equations is (-1,1).
Solve the following systems of equations for x:
2x + 3y = 5
4x – 3y = 1
Answer:
b
Step-by-step explanation:
2x+3y=5 rearrange 2x=5-3y times all by 2 4x=10-6y
4x-3y=1 4x=1+3y
1+3y=10-6y 6y+3y=10-1 9y=9 y=1
4x-3(1)=1 4x=1+3 4x=4 x=1
Answer:
B
Step-by-step explanation:
2x+3y=5
(2×1)+(3×1)==5
2+3=5
(4×1)-(3×1)=1
4-3=1
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Which sequence shows the numbers in order from least to greatest?
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
-2.45 times 10 squared is -245 while square root of 93 is 9.643650761 so 6.387 is the smallest then square root of 93 then -2.45 times 10 squared.
WILL GIVE BRAINLIEST
Answer:
(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•3x2) + 52x) - 9
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 12x2+52x-9
The first term is, 12x2 its coefficient is 12 .
The middle term is, +52x its coefficient is 52 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108
Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .
-108 + 1 = -107
-54 + 2 = -52
-36 + 3 = -33
-27 + 4 = -23
-18 + 6 = -12
-12 + 9 = -3
-9 + 12 = 3
-6 + 18 = 12
-4 + 27 = 23
-3 + 36 = 33
-2 + 54 = 52 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54
12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x-1)
Add up the last 2 terms, pulling out common factors :
9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
(2x+9) • (6x-1)
Which is the desired factorization
HOPE IT HELPS! :))
At the beginning of the year, Alyssa had $100 in savings and saved an additional $7
each week thereafter. Colton started the year with $55 and saved $10 every week. Let
A represent the amount of money Alyssa has saved t weeks after the beginning of the year and let C represent the amount of money Colton has saved t weeks after the
beginning of the year. Write an equation for each situation, in terms of t, and determine the famount of money Alyssa and Colton have saved in the week that they have the same amount of money saved.
Answer:
A = 7t + 100 and C = 10t+55 are the equations for each situation and they both will have an amount of $205 after 15 weeks.
Step-by-step explanation:
Given that:
Alyssa started savings with $100
Saved amount each week = $7
A = Amount of money Alyssa have
t = number of weeks
A = 7t + 100
Colton started savings with $55
Saved amount each week = $10
C = 10t + 55
For same amount;
A = C
7t+100 = 10t+55
100-55=10t-7t
45=3t
3t=45
Dividing both sides by 3
[tex]\frac{3t}{3}=\frac{45}{3}\\t=15[/tex]
Putting t=15 in Alyssa's equation
A = 7(15)+100
A = 105+100 = $205
Hence,
A = 7t + 100 and C = 10t+55 are the equations for each situation and they both will have an amount of $205 after 15 weeks.
Which equation represents the line that passes through the points (–3, 7) and (9, –1)? y = negative two-thirds x + 5 y = negative two-thirds x minus 7 y = two-thirds x minus 7 y = two-thirds x + 5 Mark this and return
Answer:
y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:D
please help!! due in 5 mins
Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.
12.8
14.9
15.4
17.3
Answer:
It is 15.4 on edge. C
Step-by-step explanation:
Your question: "Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal."
Calculate the magnitude
The answer is 15.4
Michael’s bill at a restaurant was $46.32. He wants to leave a 17% tip. What will the new total be, including tip?
Answer:
$54.19
Step-by-step explanation:
Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)
Answer:
...
Step-by-step explanation:
Solve this please and explain how you do it thank you
Answer:
Step-by-step explanation:
7x=14
X=2
. Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20.
Complete question :
Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20. Find the number of marbles she has
Answer:
9 marbles
Step-by-step explanation:
Let The number of marbles she has = x
3 times the total - 7 = 20
That is ;
3x - 7 = 20
3x = 20 + 7
3x = 27
x = 27/3
x = 9
Number of marbles she has = 9
