Answer: x=-0.792
Step-by-step explanation:
For this problem, you want to get like terms onto one side, then solve for x.
[tex]\frac{1}{25}=5x+4[/tex]
[tex]-\frac{99}{25} =5x[/tex]
x=-0.792
PLEASE HELP WILL MARK BRAINLKIEST!!!!!!!!
Answer:
a) -x(4[tex]x^{2}[/tex] -x +1)
b) 4[tex]x^{3}[/tex] (x-1)
c) -12[tex]x^{2}[/tex] - 3x + 3
Step-by-step explanation:
Most of it is really just a matter of substituting expressions in. here's how i did it:
f(x) = x-1
g(x) = 4[tex]x^{2}[/tex]
a) (f-g) x [tex]x[/tex]
= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]
= x(- 4[tex]x^{2}[/tex]+x-1)
= -x (4[tex]x^{2}[/tex] - x + 1)
*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.
b) (fxg) x [tex]x[/tex]
= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]
= 4[tex]x^{3}[/tex] (x-1)
*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]
c) (f+g) x -3
= (x - 1 + 4[tex]x^{2}[/tex]) x -3
= -3 (4[tex]x^{2}[/tex] + x -1)
= -12[tex]x^{2}[/tex] - 3x + 3
*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate
Hope that helped : )
I'll send a screenshot of the problem. I'd really like an answer, please do your best!
Answer:
a). $(725 - 22t)
b). $99
Step-by-step explanation:
Expense account of the school has balance after 't' weeks = $(450 - 70t)
And fundraising account has the balance = $(275 + 48t)
a). Total amount in both the accounts after 't' weeks
= $(450 - 70t) + $(275 + 48t)
= $(450 + 275) + $(-70t + 48t)
= $(725 - 22t)
b). Total amount after 8 weeks
= $(725 - 22×8)
= $(275 - 176)
= $99
What is the volume of a cone if the diameter is 5 and the height is 13?
Answer:
85.095cm³
Step-by-step explanation:
Volume of cone is ¹/³ πr ²h
volume = ¹/³ x 3.142 x (2.5)² x 13
volume = 85.095cm³
what is the greatest common factor of 8x*3-6x*2y*2+4x*2y and 2x*2
Answer:
Step-by-step explanation:
Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.
To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:
1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.
The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.
The prime factorization for each of the coefficients is as follows.
8: 2³
6: 2 · 3
4: 2²
We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.
Now, we look at our x variables and y variables.
For x, we have x³ and x². So, our GCF is x².
Our GCF is now 2x². Now, let's look at our y-variables.
We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².
Michael's checking account balance was $345. Michael withdrew $160 three times. What is his balance now?
Answer:
The answer is -135
Step-by-step explanation:
We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).
Then, we do 480 minus 354 which is -135.
Mr. Singer's choir is going to New York City for a choir competition. He wants them to look their best, so he buys new music folders for all of the members. Each music folder costs $7.99. If Mr. Singer buys 23 music folders, how much does he spend? (Please enter your answer without units.)
Answer:
the answer is 183.77
Step-by-step explanation:
if you know the price was 7.99 for each one he bought you work multiply 23 by 7.99 and you get 183.77.
EASY question for y’all mathy people. Easy points! Question in photo!
Answer:
B 1/7^2
D 7^-10 / 7^-8
Step-by-step explanation:
7^-2
We know that a^-2 = 1/a^2
1/7^2 = 1/49
We also know that anything with a power of 2 in the denominator is good
7^-8 / 7^-10 = 7^2
7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69 that is the second answer
Answer:
Step-by-step explanation:
Answers C and D are correct.
Note that in C we have 7^(-8)
---------- ,
7^(-10)
which is equivalent to 7^(-8 + 10), or 7^2, or 49.
what is the slope of this line graphed below?
Answer:
The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Step-by-step explanation:
make sure you mark me as briliest
Answer:
D. 2
Step-by-step explanation:
point on the graph:
(0, -5) and (3, 1)slope is
m= (y2-y1)/(x2-x1)= (1+5)/(3-0)= 6/3= 2slope is D. 2
I need help on this please help it’s geometry:,(
Answer:
a line with points A and B is True
what is 5,000,000 divided by 3? I'm trying to make it fair for everyone in the diamond casino heist
Answer: 1,666,666.666666667
Ix
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-8)
6+(-8)
6 + 8
Answer:
6 + 8
Step-by-step explanation:
6-(-8)= 6+8
A bag has 5 blue marbles, 4 red marbles, and 3 green marbles. A student randomly picks a marble from the bag and then rolls a number cube
with sides labeled 1 through 6.
What is the probability that the student picks a blue marble from the bag, and then rolls a 4?
A.5/72
B.5/42
C.1/3
D.7/12
Answer:
A. 5/72
Step-by-step explanation:
5 + 4 + 3 = 12 marbles
5/12 - the probability that the student picks a blue marble.
1/6 - the probability that 4 is on the cube
The probability that the student picks a blue marble from the bag, and then rolls a 4
5/12 * 1/6 = 5/72
Can I get help please.
Answer:
see below
Step-by-step explanation:
A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.
B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.
C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.
Simplify 5x+3x+2y+4y halp
Answer:
8x+6y
Step-by-step explanation:
5x+3x+2y+4y
5x+3x= 8x
2y+4y= 6y
The simplified the expression is 2(4x+ 3y).
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
5x+3x+2y+4y
Now, moving the like terms aside
As, 5x + 3x are one pair
and, 2y+ 4y is second like term pair
So, 5x+3x+2y+4y
= (5x+ 3x) + (2y+ 4y)
= x(5 +3)+ y (2+4)
= x(8)+ y(6)
= 8x+ 6y
= 2(4x+ 3y)
Hence, the simplified the expression is 2(4x+ 3y).
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a car drives at 45 km for 3 hours . how far does the car travel
Answer:
135 km
Step-by-step explanation:
I assume by 45 km you mean 45 km/h so all you have to do is 45x 3 since the car was driving for 3 hrs.
Answer:
The car traveled 135 kilometres!
Step-by-step explanation:
Here you have to do the speed (45km/h) multiplied by the time (3 hours)
45 x 3 = 135
So the car has traveled 135 kilometres!
HOPE THIS HELPS!!
Mark me brainlest!
Find the distance between the points.
(5,-2),(-6,-2)
(help)Name the intersection of the two planes in the image below.
Answer:
XZ
Step-by-step explanation:
The intersection of the 2 planes is along the line XZ
The intersection of the two planes in the image below is along the line XZ.
What is a plane coordinate system?The intersection of the x-axis, the horizontal line, and the y-axis, the vertical line, creates a coordinate plane, which is a two-dimensional plane. The origin is the point at which these parallel lines cross one another.
A coordinate plane is a framework for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis.
In the given image there are two planes one is horizontal and the second is vertical they are intersecting at line XZ. The intersection of the 2 planes is along the line XZ.
Therefore, the intersection of the two planes in the image below is along the line XZ.
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Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
the line passing through point (2, 4), parallel to the line whose equation is y = x
Answer:
y = x + 2
Step-by-step explanation:
slope = 1
y = mx + b
4 = 1(2) + b
2 = b
y = x + 2
For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).
Answer:
[tex] \boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7} [/tex]
Given:
[tex] \sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6 [/tex]
To find:
[tex] \sf (f - g)(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
[tex] \sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7 [/tex]
Find F(5) for f(x)= 1/4 (2)
Answer:
a2+2a+2
Step-by-step explanation:
Find F(5) for f(x)= 1/4 (2) the answer is a2+2a+2
Find the mean absolute deviation of {16, 19, 22, 27, 33, 19, 25}.
Answer:
5.8 is what I think it is. I also got 4.6 on another calculator.
Step-by-step explanation:
I did it on math-way.
What is the domain of this function?
Answer:
Step-by-step explanation:
The closed dot at (0, 9) indicates that that's where the graph begins. The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as
{x | x ≥ 0}
What is the answer to 1 7/9 ÷ 4/5 and explain please
Answer:
2 2/9
Step-by-step explanation:
So I'm sure you've heard of KCF (Keep, flip, change). So first to make things easier, make 1 7/9 an improper fraction, which is 16/9. And you keep it that way, but you flip 4/5, which will become 5/4. The division sign will become a multiplication sign. The F in KCF was FLIP, to flip the fraction. The C was to change the operation. The K was to keep the first fraction. Anyways, you have to do numerator x numerator and denominator x denominator when multiplying fractions, so 16 x 5 is 80, and 9 x 4 is 36. 36 can go into 80 2 times, so it'll be 2 8/36. But to simplify it, both can be divided by 4, so 8 divided by 4 is 2 and 36 divided by 4 is 9
And that is how to do it.
Answer: 2 8/36 or 2 2/9 (simplified)
HOPE THIS HELPS :)))
Melanie’s bedroom floor is rectangular in shape and has a width equal to 8x−6 and a length equal to 7x−3. What equation represents the area of the floor?
Select one or more:
a. A=56x2+66x+18
b. A=56x2+18x+18
c. A=56x2−66x+18
d. A=56x2−18x+18
Answer:
C
Step-by-step explanation:
Since the area of a rectangle is the width multiplied by the length, the area of this one would be:
[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]
Therefore, the correct answer is choice C. Hope this helps!
Using the following image, solve for x x .
Answer: x= 6
Step-by-step explanation:
2 +x + 1 = 2x -3
1x + 3 = 2x -3
+3 +3
1x + 6 =2x
-1x -1x
6= 1x
x= 6
Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10.2. Round your answer to the nearest tenth of a cubic centimeter
Answer:
The volume is 191.3 [tex]cm^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by the formula:
[tex]Volume=\frac{B\,*H}{3}[/tex]
where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2
Now, we use this value and the height 10.2 cm to find the volume:
[tex]Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3[/tex]
which rounded to the nearest tenth is: 191.3 [tex]cm^3[/tex]
Answer:
191.3
Step-by-step explanation:
In a pile of playing cards, there are 6 hearts, 4 clubs, and 8 spades. What is the probability that you will draw a heart?
1. 1/2
2. 1/6
3. 1/3
4. 1/12
Answer:
1/3
Step-by-step explanation:
The probability that you will draw a heart is 1/3, the correct option is 3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of cards= 6 hearts, 4 clubs, and 8 spades
Now,
To find the probability of drawing a heart, we need to divide the number of hearts by the total number of cards in the pile. The number of hearts is 6 and the total number of cards is 6 + 4 + 8 = 18.
The probability of drawing a heart is 1/18=1/3
Therefore, by probability the answer will be 1/3.
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A SSS
B AAA
C SSA
D None of the choices are correct
Answer:
B
Step-by-step explanation:
Answer:
AAA
Step-by-step explanation:
We see that three set of angles are the same in the different triangle hence
It is congruent by Angle Angle Angle AAA
<UST = <QSR
<UTS = < QRS
<TUS = < SQR
Which are correct representations of the inequality...
Answer:
[tex]-6x+15<10-5x[/tex]
Step-by-step explanation:
[tex]-3(2x-5)<5(2-x)[/tex]
Distribute.
[tex]-6x+15<10-5x[/tex]
Add 5x and subtract 15 on both sides.
[tex]-6x-5x<10-15[/tex]
[tex]-1x<-5[/tex]
Multiply -1 on both sides.
[tex]x>5[/tex]
Answer:
its c the third equation and d the first graph.
Step-by-step explanation:
