Type the correct answer in each box. Consider this expression.
-4x^2+2x-5(1+x)
What expression is equivalent to the given expression
___x^2+___x+___
Fill in the three blanks.
Answers
Answer:
The expression is equivalent to [tex]-4\cdot x^{2}+3\cdot x -5[/tex].
Step-by-step explanation:
In this exercise we must transform [tex]-4\cdot x^{2}+2\cdot x -5\cdot (1+x)[/tex] into its standard form, that is a polynomial of the form:
[tex]y = a\cdot x^{2} + b\cdot x + c[/tex] (1)
Where:
[tex]y[/tex] - Dependent variable.
[tex]x[/tex] - Independent variable.
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Coefficients.
Let [tex]y = -4\cdot x^{2}+2\cdot x -5\cdot (1+x)[/tex], now we proceed to convert it into its standard form:
1) [tex]-4\cdot x^{2}+2\cdot x -5\cdot (1+x)[/tex] Given
2) [tex](-4)\cdot x^{2}+2\cdot x + (-5)\cdot (1+x)[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
3) [tex](-4)\cdot x^{2}+2\cdot x +(-5)\cdot 1 +(-5)\cdot x[/tex] Distributive property
4) [tex](-4)\cdot x^{2}+[5+(-2)]\cdot x -5[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]/Commutative and distributive properties
5) [tex]-4\cdot x^{2}+3\cdot x -5[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]/Definition of subtraction/Result
The expression is equivalent to [tex]-4\cdot x^{2}+3\cdot x -5[/tex].
Answer:
Box 1 = -4
Box 2 = -3
Box 3 = -5
Step-by-step explanation:
Plato/Edmentum
Related Questions
Which system of equations has only one solution? 0 4x+2y=8 -4x-2y=3 -5x+y = 6 5x-ya-6 0 -3x+4y= 2 3x-4y 0 0 2x+4y= 6 3x - 4y - 9
Answers
Answer:
D) 2X + 4Y = 6
3X - 4Y =9
Step-by-step explanation:
Hope this helps
Answer:
first one buddy
Step-by-step explanation:
11/(x+9)=5
I am struggling with this question. Is there a solution?
Answers
Answer:
x=-6.8
[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]
Do this question me give brainliest
Answers
Answer:
9.5
Step-by-step explanation:
Because you know the sum of all the picture heights and their individual lengths, you can divide 57 by 6. Once you do that, you can get the answer 9.5, which means that the height of each frame is 9.5 centimeters. Hope this helps :)
here’s a picture .... 6th grade math
Answers
Answer:
The second pack with 18
Step-by-step explanation:
2.97/11= 0.27
4.74/18=0.26333
Answer: You should probably go for the $4.74
Step-by-step explanation:
Because you can pay that price and get 18 slices, but on the other hand, if you get the other you would be paying 2.97 for only ONE package of sliced cheese. So you would pay for the $4.74 package of cheese to get more for your money.
~I hope this was clear and answered your question~
What is the formula for finding slope
Answers
Answer:
M = rise/run is the formula
Step-by-step explanation:
That's it
A farmer notes that in a field full of horses and geese there are 36 heads and 106 feet. How many of each animal are there?
Answers
Answer:
17 horses and 19 geese
Step-by-step explanation:
Let x be the number of horses and y be the number of geese
We know that, horses have four feet and geese have 2 feet
It is given that
x+y=36 (i)
and
4x+2y=106 (ii)
Solve the two equations simultaneously by substitution,
From equation (i)
y=36-x (iii)
Substitute y with 36-x in equation (ii)
4x+2(36-x)=106
4x+72-2x=106
4x-2x=106-72
2x=34
x=17
Then
Substitute x=17 to equation (iii)
y=36-17=19
x=17, y=19
We therefore have 17 horses and 19 geese
Simplify the expression 15-24divide3•2+13=
Answers
Answer:
[tex] \frac{ - 9}{19} [/tex]
Step-by-step explanation:
[tex] \frac{15 - 24}{3 \times 2 + 13 } = \frac{ - 9}{19} [/tex]
Tyler sells 20 of his records (r) and has 74 left. Which equation best
represents this scenario?
Answers
Answer:
Equation: r-20=74
Step-by-step explanation:
So he started with 94. I got B
SOLVE:
24 - 24 : 3 + 1
Answers
Answer
17
its a division sign for : so 24-24 divided by 3 + 1
PLEASE HELP WILL GIVE BRAINLIEST
Answers
Laura is stuck in aisle six at the supermarket trying to decide which jar of peanut butter to buy she can buy a 16-ounce jar for $2.59 or 24- ounce jar for $3.29. Which jar has a lower unit price per ounce? Show your calculations and reasoning. REAL ANSWERS ONLY
Answers
9514 1404 393
Answer:
24-oz jar is lower cost per ounce
Step-by-step explanation:
The 16-ounce jar is almost $2.60. The 24-ounce jar contains half again as much peanut butter (16 +1/2·16 = 24). So, if the 24-ounce jar were the same price, it would cost half-again as much:
$2.60 +(1/2)2.60 = $2.60 +1.30 = $3.90.
The 24-ounce jar is priced considerably below that amount, so the 24-ounce jar has a lower price per ounce.
__
You could also view the 16-ounce jar as 2/3 the quantity of the 24-ounce jar. If it were the same price, that price would be about (2/3)$3.30 = $2.20. The 16-ounce jar is somewhat more than that, so costs more per ounce.
_____
Additional comment
For the estimates we did here, we needed prices that were divisible by 2 or 3. That involved adding a penny to the given price. So, the estimated equivalent price is off by a penny or so--not an issue in this case.
Note that we didn't actually need to find the per-ounce prices. We only needed to find the price for an equivalent number of ounces, which is much easier mental arithmetic.
Solve the system of equations-2x+3y=-1 and 7x-8y=16 by combining the equations
Answers
Answer:
( 40 37 , − 39 37 )
Step-by-step explanation:
Please help! 15 points!!
Answers
Answer:
none of the answers are correct because 2 and 5 are across
( don't know how to explain it) and they have to be the same
the radius of a circle is 9 M what is the circle's circumference use 3.14 for pi
Answers
Answer:
56.52 is the circumference. If the radias is 9 and the diameter is then 18.
Step-by-step explanation:
Answer:
56.52 is the circumference. If the radias is 9 and the diameter is then 18.
Step-by-step explanation:
Solve for x.
3 (4-2x) = -2x
A)-1
B)1
C)2
D)3
Answers
[tex]3(4 - 2x) = - 2x[/tex]
Distribute 3 in the expression.[tex]12 - 6x = - 2x[/tex]
Solve the equation for x-term by making x as the subject.[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]
Answer Check by substituting the value of x in the equation.[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]
The equation is true when x = 3. Therefore the answer is D. 3
Answer[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]
Answer:
solution
Step-by-step explanation:
3 (4-2x)= -2x
12-6x= -2x
12= -2x+6x
12= 4x
12÷4= x
3= x
D
A composite figure is formed by combining a square and a triangle. Its total area is 60.5 ft2. The area of the triangle is 35.5 ft2. What is the length of each side of the square? Complete the explanation.
Answers
Answer:
5 feet
Step-by-step explanation:
Total Area = Area of Triangle + Area of Square
60.5 = 35.5 + Area of Square (s²)
s² = 25
s = 5
Answer:
5 feet
Step-by-step explanation:
if i did the math correctly then its 5 feet have a nice day
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1325 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of
the two cars that week?
Answers
Answer:
40 and 35
Step-by-step explanation:
If we say the first car uses x gallons then the second car must use 75 - x gallons.
The distance travelled is the number of gallons used * the efficiency of the car.
20x + 15(75-x)=1325
20x + 1125 - 15x = 1325
5x = 200
x = 40
This means that the first car uses 40 gallons and the second car uses 75-40= 35 gallons
What is the solution to the equation? sqrtx + 3 = 12 HINT: It's not C.
A. 225
B. 81
C. 3
D. No solution
Answers
sq rt of x= 12-3
sq rt of x=9
take the ^2 of both sides to get rid of the sq root
x^2= (9)^2
=81
Given the equation: - 4 √x - 3 = 12
solve for x;
Divide both sides by -4 in [1]; we get;
√x - 3 = -3
Squaring both sides we get;
x -3 = (3)²
or
x - 3 = 9
Add 3 both sides we get;
x - 3 + 3 = 9 + 3
Simplify:
x= 12
Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.
Substitute x= 12 in [1]
- 4√12 - 3 = 12
- 4√9 = 12
-4. 3 = 12
-12 = 12 False.
Therefore, the value of x is 12 and it is an extraneous solution.
Learn more about equations at
https://brainly.com/question/2972832
#SPJ2
Help me figure out x= 2, 6, 3.75
Answers
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The product of secant lengths to the near and far circle intercepts is the same for both secants:
3 · (3+5) = 4 · (4+x)
24 = 4(4 +x) . . . . simplify
6 = 4 +x . . . . . . . .divide by 4
2 = x . . . . . . . . . subtract 4
Solve 3|x – 6| = 12. Question 13 options: No solutions x = 4 or x = –4 x = 10 or x = 2 x = 2
Answers
Answer:
x=10
Step-by-step explanation:
divide by 3 on both sides then add 6 on both sides
Answer:
the answer is x=10, x=2
Step-by-step explanation:
hope that helps
A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Yi denote the number of times exit i is chosen in successive runnings. For the following, assume that the rat chooses an exit at random on each run.
Required:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2
Answers
Answer:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2
=0.823
Step-by-step explanation:
Multinomial distribution
p(y1;y2,y3…..yk) = (n!/y1!,y2!,y3!…y4!) x p1^y1 x p2^y2 x p3^y3 x pk^yk)
The rat chooses of the three exists at random:
p = 1/3
p(3,2,1) = 6! / 3! 1! 2! (1/3)^3 (1/3)^1 (1/3)^2
=20/243
=0.823
(30 POINTS) Select the correct answer.
Which equation has no solution?
A. 1/2(8x + 6) -2x = -3(2x + 1)
B. -4(1/2x + 2) = -2x - 8 + 4x
C. 7(x + 2) - 3x = 2/3 (6x + 3)
D. -2x + 5 - 3x + 12 = -5(x - 3) + 2
Answers
Answer:
C. 7(x + 2) - 3x = 2/3 (6x + 3)
Step-by-step explanation:
ANSWER FROM PLATO
When solving an equation, if the variable terms cancel out leaving different numbers on each side of the equal sign, then the equation has no solution.
Consider the following equation:
7(x + 2) - 3x = 2/3 (6x + 3)
7x + 14 - 3x = 4x + 2
4x + 14 = 4x + 2
14 = 2
Therefore, the equation has no solution.
Help please.
Solve for the unknown variable for the following similar shapes.
Answers
1. Simplify: (-9x3 + 4x2 – 5) - (14x2 - 10x - 3)
Show work please
Answers
Answer:
I got -9x^3-10x^2+10x-2
Step-by-step explanation:
The longest sea bridge, the Jiaozhou Bay Bridge in China, spans 26.4 miles. The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards. How much longer is the Jiaozhou Bay Bridge, in units of feet, than the Lake Pontchartrain Causeway
Answers
Answer:
2.57 yards longer
Step-by-step explanation:
Step one:
given data
We are told that the Jiaozhou Bay Bridge in China, spans 26.4 miles
Also, The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards
Required
Unit conversion from yards to miles
Step two:
let us convert 41,940 yards to miles
We know that 1 yard is 0.000568182 miles
hence 41,940 yards is x miles
cross multiply we have
x= 41,940*0.000568182
x=23.83 yards
Hence the difference in their lengths is
=26.4-23.83
=2.57 yards
Which equation represents the following table?
Answers
Answer:
y=2x-4
Step-by-step explanation:
gdgdvdjsksevsg
What is the area of the figure?
Answers
Answer:
252 in²
Step-by-step explanation:
Just separate them into different shapes and add their areas together.
Answer:
252 Inches
Step-by-step explanation:
We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.
[tex]\frac{1}{3}x+6=8[/tex]
Answers
Have a great rest of your day !
Tyson is 6 feet 2 inches tail. There are 2.5 centimeters in 1 inch What is Tyson's height in centimeters
Answers
Answer:
187.96cm
Step-by-step explanation:
Answer:
187.96 centimeters tall
Tim has 54 golf balls. He wants to put an equal number of golf balls in each of 9
baskets. How many golf balls will be in each basket?
CLEAR
SUBMIT
5 golf balls
6 golf balls
7 golf balls
8 golf balls
Answers
Explanation: 9x6=54