the remainder is - 1
Step-by-step explanation:when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )
x + 3 = 0 => x = - 3
f(-3) = (-3)³ - 7(-3) + 5
= - 27 + 21 + 5
= - 1
pls help asap show work thank you so much
write the expression (-2). (-2) . 7 . 7 . 7 . 7 . 7 . using exponents
Answer:
[tex]-2^{2}[/tex] * [tex]7^{5}[/tex]
Step-by-step explanation:
-2 is shown two times in the equation, and 7 is shown 5 times. That is why the answer is [tex]-2^{2}[/tex] * [tex]7^{5}[/tex]
Hope this helps!
Create a quadratic function f(x), other than f(x) = x^2, and write it below. Then below the function, state the domain, range, x-intercepts, y-intercept, and f(3).
Answer:
[tex]f(x)=2x^{2}-3[/tex]
[tex]D=(-\infty,\infty)[/tex]
[tex]R=[-3,\infty)[/tex]
x-intercepts: [tex](\frac{\sqrt{6}}{2},0)[/tex] and [tex](-\frac{\sqrt{6}}{2},0)[/tex]
y-intercept: (0,-3)
f(3)=15
Step-by-step explanation:
A quadratic function is any polynomial function whose greatest power is a 2, so [tex]f(x)=2x^{2}-3[/tex] is a nice example of it.
For the domain, as a rule, polynomial functions that have positive whole degrees will be defined for all real numbers, so:
[tex]D=(-\infty,\infty)[/tex]
When talking about quadratic functions, its range will happen from the lowest point (in this case the vertex) to it's highest point (in this case infinity)
In order to find the vertex, we can use the following formula:
[tex]x=-\frac{b}{2a}[/tex]
which is used for quadratic equations in standard form:
[tex]y=ax^{2}+bx+c[/tex]
In this case a=2, b=0 and c=-3, so we get:
[tex]x=-\frac{0}{2(2)}=0[/tex]
Now we know that the range will happen at x=0, so we substitute:
[tex]f(0)=2(0)^{2}-3=-3[/tex]
so the range will be:
[tex]R=[-3,\infty)[/tex]
For the x-intercepts we need to set the given function equal to zero so we get:
[tex]2x^2-3=0[/tex]
and solve for x:
[tex]2x^{2}=3[/tex]
[tex]x^{2}=\frac{3}{2}[/tex]
[tex]x=\pm \sqrt{\frac{3}{2}}[/tex]
which can be rationalized to:
[tex]x=\frac{\sqrt{6}}{2}[/tex] and [tex]x=-\frac{\sqrt{6}}{2}[/tex]
so the x-intercepts are located at:
[tex](\frac{\sqrt{6}}{2},0)[/tex] and [tex](-\frac{\sqrt{6}}{2},0)[/tex]
For the y-intercept, we need to set x=0 so we get:
[tex]f(0)=2(0)^{2}-3[/tex]
[tex]f(0)=-3[/tex]
So the y-intercept is located at:
(0,-3)
and finally, in order to get f(3) we must substitute x for 3 so we get:
[tex]f(3)=2(3)^{2}-3[/tex]
f(3)=15
4x3 =
A) 12
B) 35
C) 15
Answer:
12
Step-by-step explanation:
4x3=12
Which representation shows y as a function of x?
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
what comes next in the pattern
19, 20, 22, 25, 29, 30, 32, 35, 39, 40, 42, 45 ___
Laura bought 55 shares of stock for $3.50 per share last year. She paid her broker a 1% commission. She sold the stock this week for $2 per share, and paid her broker a $10 flat fee. What were Laura’s net proceeds? Round to the nearest cent. What was her capital gain or loss?
Answer:
cp of 55 shares = 3.50 * 55 = 192.5
commission amount = 1% *192.5 = 1.925
Total invest = 192.5 + 1.925 = 194.425
sp of 1 share = 2
sp of 55 share = 2*55 = 110
Earning from shares = 110
since earning is less than invest, Laura has loss of (194.425 - 110) = 84.425
Laura has a loss of $84.425 for the cost price of $192.5.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Cost price of 55 shares = 3.50 x 55 = 192.5
Commission amount = 1% *192.5 = 1.925
Total invest = 192.5 + 1.925 = 194.425
The selling price of 1 share = 2
The selling price of 55 share = 2*55 = 110
Earning from shares = 110
Since earnings are less than investment, Laura has a loss of (194.425 - 110) = $84.425
Therefore, Laura has a loss of $84.425 for the cost price of $192.5.
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What are some ratios that are not equivalent to 6/9 I need this before 7 pm pacif time!
Answer:
1:8
33:8
1:1
88:99
6:7
235:9
Help needed ASAP will give BRAINLIEST
Answer:
Third one
Step-by-step explanation:
Answer:
The answer to your following question is C. I had this one and passed the test have a great day!
Step-by-step explanation:
16x^3
And divide
10x^1
Answer:
8x^3/5
Step-by-step explanation:
Evaluate the exponent
16x^3/10
Factor 2 out of 16x^3
2(8x^3)/10
Cancel the common factors
Factor 2 out of 10
2(8x^3)/2(5)
Cancel the common factor
(8x^3)/5
Rewrite the expression
8x^3/5
I hope this helps! :)
Which of the green triangles is a reflection of the blue triangle? a Triangle D b Triangle B c Triangle C d Triangle A e None
Answer:
Triangle A
Step-by-step explanation:
Answer:
a
a
Step-by-step explanation:
a
Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the questions that follow to continue Gavin’s analysis. Use the initial zombie population and growth rate per level to complete the table and estimate the population at level 5. Round to the nearest whole number, if necessary.
.
Game Level: 1 | 2 | 3 | 4 | 5
Population: 50,000 |
Answer:
Answer: Level 1 - 50,000
Level 2 - 52,500
Level 3 - 55,125
Level 4 - 57,881
Level 5 - 60,775
Step-by-step explanation:
Level 1 population will be 50,000
Level 2 population will be 52,500
Level 3 population will be 55,125
Level 4 population will be 57,881
Level 5 population will be 60,775
What is a product?
Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. Product can meet are the quantities that are included, and the outcome of the operation, or the final response.
The zombies would be 50,000 * 5% if Gavin were level 1, and 50,000 * (5% * 2) if Gavin were level 2, which would be equivalent to 50,000 * 10%. Gavin calculates the number of zombies by multiplying the player's stage by 5%, which equals 50,000 * 5%x Initial Density of Zombie.
The population of the 2 level is
50000 + (50000 * 5%)
50000 + 2500 = 52500
The population of 3 levels is
52500 + (52500 * 5%)
= 55,125
The population of 4 levels is
55,125 + (55,125 * 5% )
= 57,881
The population of 5 level is
57,881 + ( 57,881 + 5%)
= 60,775
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how to find out L C M of common division method
Step-by-step explanation:
To find the LCM by division method, we write the given numbers in a row separately by commas, then divide the numbers by a common prime number. We stop dividing after reaching the prime numbers. The product of common and uncommon prime factor is the LCM of given numbers.
For example
2 24,12
2 12,6
2 6,3
3 2,1
2 1,1
LCM=2×2×2×3×2
=48
3x – 1 > 4x + 7
What’s the answer
Answer:
[tex]x<-8[/tex]
Step-by-step explanation:
So we have the inequality:
[tex]3x-1>4x+7[/tex]
Add 1 to both sides. The left side cancels:
[tex]3x>4x+8[/tex]
Subtract 4x from both sides. The right side cancels:
[tex]-x>8[/tex]
Divide both sides by -1. Since we're dividing by a negative, we flip the sign:
[tex]x<-8[/tex]
And we're done!
Our solution is all numbers less than -8.
Answer:
x = -8
Step-by-step explanation:
I will be the brainliest, its hard to explain on a document, i could make you avideo how to do these problems, im a math teacher.
In the neighborhood 72 families, 18 one or more cats as a fraction then express the fraction as a decimal
Answer:
poopie
Step-by-step explanation:
Given: f(x)=4x-9 and g(x)= 2x-3. What is the value of (f+g)(0)=?
A.-9
B.-10
C.-11
D.-12
Answer:
D. -12
Step-by-step explanation:
if f=4x-9, and g=2x-3, and the value is (f+g), then we have to add the equations. This is equal to 6x-12. And then, in '(f+g)(0)', it is asking what is the y-value at x=0. Plug in 0 into the equation, and the y-value equals -12.
12 + 36 /3 × 4 + 300
Determine the measure of the angle labeled (4x + 7)
I'm very confused please help ASAP
Answer:
8 degrees
Step-by-step explanation:
4x+7=6x−9
Step 1: Subtract 6x from both sides.
4x+7−6x=6x−9−6x
−2x+7=−9
Step 2: Subtract 7 from both sides.
−2x+7−7=−9−7
−2x=−16
Step 3: Divide both sides by -2.
-2x/-2 =-16/-2
Equals to X=8
Please answer sorry I’m dumb
Answer:
D
Step-by-step explanation:
Hope this helped and have a great day!
(Ur not dumb)
Taylor makes $8 an hour at the pizza place and she is scheduled to work six hours this afternoon. However, Brandon called and wanted to know if she could go out to the movies. Assuming the movies will cost Taylor $10, what is her opportunity cost of going out to the movies?
Answer:
58
Step-by-step explanation:
im pretty sure its saying like what she is losing by not going to work and how much she is paying for the movie so 8x6 then add the 10
what is seven less than the quotient of 16 and 4
Answer:
-3
Step-by-step explanation:
16/4=4, so seven less than that is -3
A Toyota Prius and a Dodge Circuit leave an intersection at the same time. The Prius heads east at an average speed of 50 miles per hour, while the Circuit heads south at an average speed of 45 miles and hour. After 30 minutes, the two cars are about _____ miles apart. After 2 hours, the two cars are about ______ miles apart. Write an express for the distance, d (in miles) after t hours.
Answer:
33.634 ; 134.536 ; d = √[(50t)² + (45t)²]
Step-by-step explanation:
Given the following :
Toyota Prius = East at 50mph
Dodge Circuit = South at 45mph
Distance apart after 30 minutes :
Distance = speed * time
Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles
Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles
Hence Displacement after 30 minutes :
d = √(25² + 22.5²)
d = √625 + 506.25
d = √1131.25
d = 33.634 miles
Distance apart after 2 hours :
Distance = speed * time
Distance moved by Prius = ( 50mph × 2hr) = 100 miles
Distance moved by Circuit = ( 45mph × 2hr) = 90 miles
Hence Displacement after 2 hours :
d = √(100² + 90²)
d = √10000 + 8100
d = √18100
d = 134.536 miles
Distance d in miles after t hours :
d = √[(50t)² + (45t)²]
Which fraction is equal a whole number ?
A. 3/6 B.7/8 C.10/4 D.8/4
Answer:
D. 8/4
Step-by-step explanation:
Actually, 8/4 is basically 8 divided by 4, which is 2. And 2 is a whole number not decimal number, so that would be your answer.
The fraction number (8/4) that is equal to the whole number is 2. Then the correct option is D.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
A. The fraction number is given as
[tex]\dfrac{3}{6}[/tex]
And it can be written as
[tex]\dfrac{1}{2}[/tex]
B. The fraction number is given as
[tex]\dfrac{7}{8}[/tex]
C. The fraction number is given as
[tex]\dfrac{10}{4}[/tex]
And it can be written as
[tex]\dfrac{5}{2}[/tex]
D. The fraction number is given as
[tex]\dfrac{8}{4}[/tex]
And it can be written as 2.
More about the fraction number link is given below.
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2(x + 4) = 3(2x - 2)
HELP!!!
Answer:
7/2 = x
Step-by-step explanation:
2(x + 4) = 3(2x - 2)
Distribute
2x+8 = 6x -6
Subtract 2x from each side
2x-2x+8 = 6x-2x -6
8 = 4x -6
Add 6 to each side
Add 6 to each side
8+6 = 4x-6+6
14 = 4x
14/4 = 4x/4
7/2 = x
Answer:
x= 7/2
Step-by-step explanation:
2x + 8 = 6x - 6
2x - 6x = -6 - 8
- 4x = -14
x = 7/2
If h(x) = x2 + 3x +2. what does f(2) equal?
13
10
12
11
Answer:
Step-by-step explanation:
h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12
12 is the answer
Plz Helpz me, Solve the system of equations x+y=-2,\ 4y=4,\ 4x+2y-4z=-22
If a car is traveling at 50kph, how long would it take for the car to travel 12.5km?
Answer:
4 km
Step-by-step explanation:
T = time
D = distance
S = speed
the forumla to find the distance is
T * S = D
manipulate the equation for this problem:
D/S = T
Plug-in the known values
D = 12.5 km
S = 50kph
12.5km/50kph
cancel units and simplify
4 km
m∠1 = 65°, what is m∠2?
Answer:
m∠2=65
Step-by-step explanation:
They are corresponding angels which means they are congruent.
Amy has $30 to spend she wants to buy 3 pounds of lemons at two dollars per pound a box of rice for four dollars and seven frozen dinners for three dollars each Will Amy have one dollar left over
Answer: Amy will not have one dollar left over , but she will have to add an extra dollar to buy all that stuff.
Step-by-step explanation:
First find the cost of the items she want to buy in total.
So she wants to buy 3 pound of lemons at two dollars per pound that will cost her $6.
Seven frozen dinners for three dollars each will cost her $21.
The box of rice will cost her $4.
Add the total cost together.
21 + 4 + 6 = 31
This means she will have to spend $31 in total and that is beyond her budget which is $30 dollars. This also means that Amy will not have one dollar left over but she will need to add one dollar.
Answer:
Amy won't have 1 dollar left, she will actually need 1 dollar because all of that would be 31 dollars.
Step-by-step explanation:
3 pounds of lemons= $6
1 box of rice= $4
7 frozen diners= $21
6+4=10
10+21=31
Solve using 2-step equations.
You work as a salesperson at Cutco, and earn only commission. You earn 30%
commission on everything you sell. Your bills this month are $1,800 and you
also want to put $500 into your savings.
How much do you need to sell at your job to make sure you can pay your
bills and still have enough to save?
Answer:
$7666.7
Step-by-step explanation:
1800 + 500 = 2300. That means that 30% = 2300. If u divide both sides by 3 then 10% = 766.67 times that by ten and then that will equal $7666.7