Answer:
c) x - 4
Step-by-step explanation:
To do a factorization of this kind of trinomial there is a technique very easy to do it.
First, you need to see the numbers that are along with the x and the independent number.
In this case -3 and -4 (I will call them b and c)
Next, you need to think in two numbers that can acomplish the following:
x * y = c
x + y = b
So, first, think, which are two numbers that you can multiply between them to give as a result -4?.
In this case it would be -4 and 1 (-4*1 = -4)
These numbers if you do a sum you'll get -3:
-4 + 1 = -3
So the factorization becomes this:
(x - 4) (x - 1)
So, one of the factors is x - 4. Option c
Given: x+2y=-6. Solve for y. y=x-6/2
Answer:
y = (-x -6)/2
Step-by-step explanation:
You want to solve x +2y = -6 for y.
Isolate the variableThe first step here is to get the y-term by itself on one side of the equal sign. We can do that by subtracting x from both sides of the equation.
x +2y -x = -6 -x
2y = -6 -x
Now, we divide by the coefficient of y to get y by itself.
2y/2 = (-6 -x)/2
y = (-x -6)/2
We can also write this as ...
y = -x/2 -3
Answer:
The expression represents [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex] is [tex]\( y = \frac{-6 - x}{2} \)[/tex]
Explanation:
To solve the equation [tex]\(x + 2y = -6\)[/tex] for [tex]\(y\)[/tex], follow these steps:
1. Subtract [tex]\(x\)[/tex] from both sides of the equation to isolate the term containing [tex]\(y\)[/tex]:
[tex]\[2y = -6 - x\][/tex]
2. Divide both sides of the equation by [tex]\(2\)[/tex] to solve for [tex]\(y\):[/tex]
[tex]\[y = \frac{-6 - x}{2}\][/tex]
So, the solution for [tex]\(y\) is \(y = \frac{-6 - x}{2}\).[/tex]
Deshaun makes 9 dollars for each hour of work. write an equation to represent his total pay p after working h hours.
A boat traveled 252 miles downstream and back. The trip downstream took 12 hours. The trip back took 84 hours. What is the speed of the boat in still water? What is the speed of the current?
The required speed of the current is given as 9 miles per hour.
Given that,
A boat traveled 252 miles downstream and back. The trip downstream took 12 hours. The trip back took 84 hours. What is the speed of the boat in still water is to be determined.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
let the speed of the current be y, and the speed of the boat at still water be x,
According to the question,
Downstream speed,
252 / 12 = x + y - - - -(1)
upstream speed,
252 / 84 = x - y - - - (2)
Adding equations 1 and 2
21 + 3 = 2x
x = 24 / 2
x = 12 miles/hour
Now,
3 = 12 - y
y = 9 miles/ hour
Thus. the required speed of the current is given as 9 miles per hour.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ5
Final answer:
To find the speed of the boat in still water and the current, we used the relation of speed, distance, and time for downstream and upstream travel to set up equations. We solved these to determine that the boat's speed in still water is 12 miles per hour, and the current's speed is 9 miles per hour.
Explanation:
The question asks to determine the speed of the boat in still water and the speed of the current given the distances and times for traveling downstream and upstream. Using the given data, we can set up two equations based on the speed-distance-time relationship:
Downstream speed = Speed of boat in still water + Speed of current
Upstream speed = Speed of boat in still water - Speed of current
Let v represent the speed of the boat in still water, and c represent the speed of the current. We have the equations:
(v + c) = 252 miles / 12 hours = 21 miles/hour (downstream)
(v - c) = 252 miles / 84 hours = 3 miles/hour (upstream)
Adding these two equations gives us:
2v = 24 miles/hour
Dividing by 2:
v = 12 miles/hour
Substituting v in either equation to find c:
c = 21 miles/hour - v = 21 miles/hour - 12 miles/hour
c = 9 miles/hour
Therefore, the speed of the boat in still water is 12 miles/hour, and the speed of the current is 9 miles/hour.
Which of the following are types of variations?
A .Direct
B. Inverse
C. Variable
D. Combined
E. Joint
It can be more than one answer choice
Answer: Hence, option 'A', 'B', 'D' , 'E' are correct.
Step-by-step explanation:
There are many different types of variations as follows:
1) Direct variations in which the relationship between two different variables is direct.
2) Inverse variations in which the relationship between two different variables is opposite.
3) Joint variations in which the relationship between one variable varies directly with the product of two or more variables.
4) Combined variations in which one variable is directly proportion to second variable but inversely proportion with third variables.
Hence, option 'A', 'B', 'D' , 'E' are correct.
The sum of three consecutive odd integers is 219. What is the largest of these integers?
Building a is 160 feet shorter than building
b. the total height of the two buildings is 1490 feet. find the height of each building.
Find two consecutive even integers whose sum is 126, please show your work.
The two consecutive even integers whose sum is 126 are 62 and 64.
Let's represent the first even integer as x. Since the next consecutive even integer would be the next even number, we can represent it as x + 2.
The problem states that the sum of these two consecutive even integers is 126. We can set up the equation:
x + (x + 2) = 126
Now, let's solve for x by simplifying and combining like terms:
2x + 2 = 126
Subtract 2 from both sides of the equation:
2x + 2 - 2 = 126 - 2
2x = 124
Divide both sides of the equation by 2 to isolate x:
(2x) / 2 = 124 / 2
x = 62
Now that we have found the value of x, we can find the second consecutive even integer:
x + 2 = 62 + 2 = 64
Therefore, the two consecutive even integers whose sum is 126 are 62 and 64.
To know more about consecutive even integers click here :
https://brainly.com/question/26438608
#SPJ6
The area of a square poster is 59 in.² find the length of one side of the posterior to the nearest 10th of an inch
area of a square = S^2
to find length of side take square toot of area
sqrt(59) = 7.68114
to nearest tenth = 7.7 inches
The woods family traveled 25 miles in1/2 hour. If it is currently 3:00 P.M. and the family's destination is 225 miles away, at what time will they arrive?
How do you do the cube of x plus 5
A glass tabletop is supported by a rectangular pedestal. if the tabletop is 8 inches wider than the pedestal on each side, what is the perimeter of the glass tabletop
When adding make sure you add 4 sides worth of calculations. You have to consider the left and right side (for length) and front and back for the width.
The solution for this problem is:
Side 1 (8+36+8)
+
Side 2 (8+48+8)
+
Side 3 (8+36+8)
+
Side 4 (8+48+8)
= 232
The perimeter of the glass tabletop is 232 inches. The option (E) is correct.
To find the perimeter of the glass tabletop, we need to determine its dimensions first. According to the problem, the glass tabletop is 8 inches wider than the pedestal on each side.
Dimensions of the Pedestal:
- Width: 36 inches
- Length: 48 inches
Since the tabletop extends 8 inches beyond the pedestal on each side, we add 16 inches (8 inches on each side) to both the width and the length of the pedestal.
Width of the glass tabletop:
[tex]\[ \text{Width} = 36 \, \text{inches} + 16 \, \text{inches} = 52 \, \text{inches} \][/tex]
Length of the glass tabletop:
[tex]\[ \text{Length} = 48 \, \text{inches} + 16 \, \text{inches} = 64 \, \text{inches} \][/tex]
The perimeter [tex]\( P \)[/tex] of a rectangle is given by:
[tex]\[P = 2 \times (\text{Length} + \text{Width})\][/tex]
Substituting the dimensions:
[tex]\[P = 2 \times (64 \, \text{inches} + 52 \, \text{inches})\\P = 2 \times 116 \, \text{inches} = 232 \, \text{inches}\][/tex]
The correct perimeter of the glass tabletop is [tex]\( 232 \)[/tex] inches.
The complete question is:
A glass tabletop is supported by a rectangular pedestal. If the tabletop is 8 inches wider than the pedestal on each side, what is the perimeter of the glass tabletop?
A) 92 inches
B) 116 inches
C) 176 inches
D) 184 inches
E) 232 inches
3t(t+2)-(3t^2+5t) when t=19
In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal.
How much money did they both have in their accounts in May?
Answer:2,800.00
Step-by-step explanation:
Did I do the problem -2x+10=-2(x+5) ? If not plz explain and answerthxx
Consider the parabola represented by the equation -2y2 = 4x. This parabola will open to the . The equation of the directrix of the parabola is . The focus of the parabola is . NextReset
(2x4+x3−4x2+3)+(4x4−2x3−x2+10x+2)
Express the answer in standard form.
Enter your answer in the box.
Answer: The required sum is [tex]6x^4-x^3-5x^2+10x+5.[/tex]
Step-by-step explanation: We are given to find the following sum:
[tex]S=(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2).[/tex]
To find the sum, we need to add the coefficients of the same exponents of the unknown variable x.
The summation is as follows:
[tex]S\\\\=(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2)\\\\=(2+4)x^4+(1-2)x^3+(-4-1)x^2+10x+(3+2)\\\\=6x^4+(-1)x^3+(-5)x^2+10x+5\\\\=6x^4-x^3-5x^2+10x+5.[/tex]
Thus, the required sum is [tex]6x^4-x^3-5x^2+10x+5.[/tex]
The concession stand at a ballpark makes $0.43 profit from each hot dog sold. It also makes a profit of $0.65 from each pretzel sold and $1.31 from each drink sold. Which expression represents the total profit, in dollars, that the stand will make on a day when they sell h hot dogs, p pretzels, and d drinks?
Answer:
P = 0.43h + 0.65p + 1.31d represents the total profit, in dollars that the stand will make on a day when they sell h hot dogs, p pretzels, and d drinks
Step-by-step explanation:
Given : The concession stand at a ballpark makes $0.43 profit from each hot dog sold. It also makes a profit of $0.65 from each pretzel sold and $1.31 from each drink sold
We have to find an expression that represents the total profit, in dollars that the stand will make on a day.
Let the stand sells h hot dogs, p pretzels, and d drinks on a day
Since profit of one hot dog is $ 0.43
So , profit of h hot dogs is $ 0.43h
also, profit of one pretzels is $ 0.65
So , profit of p pretzels is $ 0.65p
also, profit of one drink is $1.31
So , profit of d drinks is $ 1.31d
Total profit of a day is the total profit he earned from selling each item.
thus, total profit is given by equation
P = 0.43h + 0.65p + 1.31d
Thus, P = 0.43h + 0.65p + 1.31d represents the total profit, in dollars that the stand will make on a day when they sell h hot dogs, p pretzels, and d drinks
Find the distance between the points (8,9) and (1,4). round decimals to the nearest tenth.
∠E and ∠F are vertical angles with m∠E = 8x + 8 and m∠F = 2x + 38. What is the value of x?
Answer: The value of x = 5
Step-by-step explanation:
Given : ∠E and ∠F are vertical angles m∠E = 8x + 8 and m∠F = 2x + 38.
We know that the vertical angles are congruent.
It means [tex]\angle{E}\cong\angle{F}[/tex]
[tex]\Rightarrow\ m\angle{E}=\ m\angle{F}[/tex]
[tex]\Rightarrow\ 8x+8=2x+38[/tex]
Subtract 2x and 8 from both sides , we get
[tex]6x=30[/tex]
Divide both sides by 6 , we get
[tex]x=5[/tex]
Hence, the value of x = 5
PLEASE HELP!!!!
How do I describe the distribution of this graph???
how to find the sum of 2+4+6....+40?
the vertex of a parabola is (-2,-20), and it's y intercept is (0,-12). what is the equation of the parabola?
(y=__x^2 +__x+__)
The rays or segments that form angles are called________.
A. Points
B. Vertices
C. Sides
D. Endpoints
Mrs. Clever mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally into 5 containers. How much blue paint is in each container? Give your sender in liters
Why do we reverse the direction of the inequality symbol when multiplying or dividing by a negative number?
What is the smallest integer that can be added to -2m^3-m+m^2+1 to make it completely divisible by m+1?
One-half the square of b
Answer:
[tex]\frac{b^2}{2}[/tex]
Step-by-step explanation:
We are supposed to write an algebraic expression for given word phrase.
The square of b would be 'b' raised to second power: [tex]b^2[/tex].
Half the square of b would be [tex]b^2[/tex] divide by 2: [tex]\frac{b^2}{2}[/tex].
Therefore, our required expression would be [tex]\frac{b^2}{2}[/tex].
What is the maximum number of communication paths for a team of twenty people?
The equation of the graphed line is x + 2y = 5. What is the x-intercept
someone please help me with this problem