The step that Omar should proceed with is given by: Option D: Omar should factor out a negative from one of the groups so the binomials will be the same.
What are prime polynomials?Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomials.
(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)
The polynomial that Omar is dealing with is:
[tex]3x^3 - 15x^2 -4x + 20[/tex]
We see that 3 times 5 = 15 and 4 times 5 = 20, so trying in that way:
[tex]3x^3 - 15x^2 -4x + 20 = 3x^2(x-5) + 4(-x + 5)[/tex]
Taking out a negative factor from second term would make the binomials same, after which we can take that common out, as shown below:
[tex]3x^3 - 15x^2 -4x + 20 = 3x^2(x-5) + 4(-x + 5) \\3x^3 - 15x^2 -4x + 20 = 3x^2(x-5) -4(x-5) \\3x^3 - 15x^2 -4x + 20 = (x-5)(3x^2-4)[/tex]
It successfully got factored, thus not a polynomial.
Thus,the step that Omar should proceed with is given by: Option D: Omar should factor out a negative from one of the groups so the binomials will be the same.
Learn more about prime polynomials here:
https://brainly.com/question/10717989
Answer: Omar should factor out a negative from one of the groups so the binomials will be the same.
Step-by-step explanation: Answer on edge
At the county fair, 4 employees were paid $8.75 an hour to work a funnel cake stand. The worked for 8 hours at regular pay and then for 5 hours at overtime pay for an extra $2.50 an hour. How much money did each employee earn?
Answer:
126.25
Step-by-step explanation:
take 8.75 and multiply by 8 =70
take 8.75+2.50=11.25
11.25x5=56.25
56.25+70=126.25
Arianna and Blair are working on a problem together: Solve x/3 + 8 = -2. Blair thinks the first step is to multiply by 3. Arianna explains that this, not the most efficient way to solve. Explain who is correct and justify your reasoning.
x/3 + 8 = -2
Because x is in a fraction, the most efficient way to solve is to remove the 8 first.
The first step should be to subtract 8 from both sides:
x/3 = -10
Then you would multiply both sides by 3:
x = -30
Blair was correct but Arianna is correct too.
Let's see why :
_________________________________ We're gonna solve it from Blair's method .
[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]
Multiply sides by 3
[tex]x + 24 = - 6[/tex]
Subtract sides minus 24
[tex]x = - 6 - 24[/tex]
[tex]x = - 30[/tex]
_________________________________
The faster way is :
[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]
Subtract sides minus 8
[tex] \frac{x}{3} = - 2 - 8 \\ [/tex]
[tex] \frac{x}{3} = - 10 \\ [/tex]
Multiply sides by 3
[tex]x = - 30[/tex]
It is very easier to calculate -2-8 than -24-6 and also it is very easier to multiply -10 by 3 than multiply 8 by 3 and multiply -2 by 3 and then calculate.
So Arianna is correct.
I think this is the correct answer.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
is 5.16 a rational or irrational number?
Answer:
rational
Step-by-step explanation:
The width of a rectangular flower shop is 20 feet less than twice the length. The perimeter is more than 70 feet. Which inequality can be used to find a possible length x of the shop in feet?
A. x+ (2x - 20) > 70
B. 2x + 2(2x - 20) > 70
C. x + (x - 20) > 70
D 2x + 2(x - 20) >70
Answer:
what is it
Step-by-step explanation:
The perimeter is represented by the inequality 2x + 2(2x - 20) > 70. Then the correct option is B.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The width of a rectangular flower shop is 20 feet less than twice the length.
W = 2L - 20
The perimeter is more than 70 feet. Then the inequality is given as,
P < 2(L + W)
70 < 2(L + 2L - 20)
70 < 2L + 2(2L - 20)
Replace L with x, then we have
2x + 2(2x - 20) > 70
The perimeter is represented by the inequality 2x + 2(2x - 20) > 70. Then the correct option is B.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ2
500 reduced by 4 times my age is 112
Answer:
Your age is 97 years old.
Step-by-step explanation:
Let x be age.
500 - 4x = 112
-4x = -388
x = 97
Which inequality represents 17 less than twice a number is no more than 35?
Answer:
A
Step-by-step explanation:
"17 less than twice a number" is 2n - 17
"No more than 35" is [tex]\leq[/tex] 35
2n - 17 [tex]\leq[/tex] 35
3.25 + 3 tenths A.6.25 B.3.55
Answer:
b
Step-by-step explanation:
3.25+.3=3.55
[tex]\huge\boxed{B,\;3.55}[/tex]
___________________________________________________________
[tex]\boxed{Explanation}[/tex]
So, we have the following equation...
[tex]3.25+3/10=(?)[/tex]
Lets turn the fraction into a decimal.
Here's how...
Divide the numerator by the denominator.Remember, the top number is the numerator and the bottom number is the denominator.The line in the middle of our fraction represents division.Our numerator is 3, while our denominator is 10.Therefore, [tex]3/10=0.3[/tex].
Next, lets add our new decimal with 3.25.
[tex]3.25+0.3=3.55[/tex]
This gives us our final answer... [tex]3.55[/tex].
___________________________________________________________
Hope it helps!
May i have brainliest?
[tex]\huge\boxed{Thanks,\;Plip.}[/tex]
What is the answer to this?
Answer:
Step-by-step explanation:
1/5(x-6/5)=-51/25
1/5x-6/25=51/25
5/25x=57/25
5x=57
x=11.4
Factor 32w+40z using the GCF.
a. 2(16w+20z)
b. 4(8w+10z)
c. 8(3w+5z)
Selected:d. 8(4w+5z)
Answer:
{x,y,z,w}={-1,0,6,3}
The diagram shows an isosceles triangle. Work out the size of angle y.
A 740°
B 2540°
C 286°
D 3070°
Ted combines 7.28 ounces of strawberries with 8.06 ounces of blueberries to make fruit bowls. He pours the fruit equally into 4 bowls, and has 1.58 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
7.28 ounces + 8.06 ounces = 15.34 ounces combined
15.34 ounces - 1.58 ounces left over = 13.76 ounces
divide 13.76 ounces by 4 people = 3.44 ounces per bowl
Find the slope of the line through the given points.
( -2,-8) and (2,4)
Answer:
m = 3
Step-by-step explanation:
Use the slope formula to find the slope m .
Answer:
3
Step-by-step explanation:
hope this helps!
pls help me i dont get it
Answer:
i dont see anything
Step-by-step explanation:
Answer:
What do you need help with, theres no image or question
Solve the multi-step equations.
2(x+5)=3(x+6)
Answer:
2x + 10 = 3x + 16
2x - 3x = 16 - 10
x = 6
Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
Given the following question:
[tex]2(x+5)=3(x+6)[/tex]
To find the answer we need to expand the equation by using the distribution property, use inverse operations by subtracting or adding on both sides, and of course simplify if needed.
[tex]2(x+5)=3(x+6)[/tex]
[tex]2(x+5)=2x+10[/tex]
[tex]3(x+6)=3x+18[/tex]
[tex]2x+10=3x+18[/tex]
[tex]10-10=0[/tex]
[tex]18-10=8[/tex]
[tex]2x=3x+8[/tex]
[tex]3x-3x=0[/tex]
[tex]2x-3x=-x[/tex]
[tex]-x=8[/tex]
[tex]-x\div-x=x[/tex]
[tex]8\div-1=-8[/tex]
[tex]x=-8[/tex]
Your answer is "x = -8."
Hope this helps.
What is 8 inches converted to feet? Write your answer as a fraction in simplest form
Answer: 2/3 feet
Step-by-step explanation:
Since there are 12 inches in a foot, 8 inches would be equal to 8/12 of a foot. We can divide the numerator and the denominator by 4.
8/12 = 2/3 feet
Answer:
2/3 feet
Step-by-step explanation:
How do we convert inches to feet?
To convert a number of inches into feet, we divide the number of inches by 12.Solving
8 ÷ 12 = 8/128 and 12 have a GCF of 4.8/4= 2, 12/4 = 32/3Therefore, the answer is 2/3 feet.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
the distance from castroville to dover is 37.9 kilometers, how far is it from new port to springfield
Answer:
12.8
Step-by-step explanation:
subtract each leg from the total distance of 37.9. 37.9 - 12.3 - 7.6 - 4.2 = 12.8
What is the radius of a circle with an area of 78. 5 square inches? Use 3. 14 for pi. Enter your answer in the box.
Answer:
The radius is 5
Step-by-step explanation:
[tex]r^{2}[/tex] = [tex]\frac{78.5}{3.14}[/tex]
[tex]r^{2}[/tex] = 25
r = [tex]\sqrt{25}[/tex]
r = 5
hence the answer is 5
the length of a rectangle is 1 more than 3 times the width. if the perimeter is 98. what is the length ?
Answer:
length = 37
Step-by-step explanation:
w= x
l= 3x + 1
to get the perimeter you need to add all sides.
x + x + 3x + 3x + 1 + 1 = 98
8x + 2 = 98
8x = 96
x = 12
To get the length plug in the value of the x to 3x + 1.
length = 3(12) +1
length = 37
Write an equation of the perpendicular bisector of the segment with endpoints G(5,-8) and H(7,4) Your answer should be in slope-intercept form. Please type your equation with NO SPACES and if the slope is not a whole number, please make sure it is written as a faction.
Answer:
[tex]y=-\frac{1}{6}x-1[/tex]
Step-by-step explanation:
In order to solve this problem we can start by finding the slope of the perpendicular equation. We can do this by finding the slope of the equation that passes through the two points provided by the problem.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
so we input the two points (5,-8) and (7,4) to get:
[tex]m=\frac{4-(-8)}{7-5}[/tex]
so
m=6
next, we find the negative reciprocal to get the slope of the perpendicular line, so we get:
[tex]m=-\frac{1}{6}[/tex]
Now we need to find one point that the line passes through.
we can find that point by using the midpoint formula:
[tex]x=\frac{x_{2}+x_{1}}{2}[/tex]
[tex]y=\frac{y_{2}+y_{1}}{2}[/tex]
so we get:
[tex]x=\frac{7+5}{2}=6[/tex]
[tex]y=\frac{4-8}{2}=-2[/tex]
So the point is (6,-2)
So now we can find the equation of the line by using the point-slope form of the linear equation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
and substitute the point and the slope into the equation:
[tex]y-(-2)=-\frac{1}{6}(x-6)[/tex]
and solve for y:
[tex]y=-\frac{1}{6}x+1-2[/tex]
[tex]y=-\frac{1}{6}x-1[/tex]
which will be our answer.
Which function matches this graph?
f(x)=x2−3f ( x ) = x 2 − 3
f(x)=x2+9f x = x 2 + 9
f(x)=x2−6x+9f ( x ) = x 2 − 6 x + 9
f(x)=x2+6x+9f ( x ) = x 2 + 6 x + 9
Answer:
[tex]\large\boxed{\sf f(x) = x^2-6x+9}[/tex]
Step-by-step explanation:
We are here given a graph of a equation and we are interested in finding the equation .
From the given graph we can see that it cuts the x axis at point (3,0) . This graph represents a quadratic function and its two zeroes are 3,3 . We can write the equation using the two zeroes .
Say if the zeroes of the quadratic equation are p and q , then the quadratic equation can be written as ,
[tex]\longrightarrow (x-p)(x-q)=0 [/tex]
And the quadratic function can be written as ,
[tex]\longrightarrow f(x)= k[ (x-p)(x-q)][/tex]
where k is a constant .In this case k = 1 . So we can write the function as ,
[tex]\longrightarrow f(x) = (x-3)(x-3)[/tex]
Distribute ,
[tex]\longrightarrow f(x)= x (x-3)-3(x-3)[/tex]
Simplify by opening the brackets,
[tex]\longrightarrow f(x) = x^2-3x -3x +9 [/tex]
Add like terms,
[tex]\longrightarrow \underline{\underline{f(x) = x^2-6x+9}}[/tex]
And we are done!
Given the figure below, find the values of x and z.
(7x + 61)
(15x – 35)
Х
Z
Answer: Z and 96 are vertical angles so they equal each other. The other angle makes a straight line with the 96 degree angle so subtract from 180 to find the measure of that angle is 84. Set the expression equal to 84 and solve.
Step-by-step explanation:
Devaughn is 12 years older than Sydney. The sum of their ages is 88. What is Sydney's age?
Answer:
Sydney is 76.
Step-by-step explanation:
Why?
88 - 12 = 76
If Devaughn is 12 years older and the sum of their ages is 88, Sydney is 76. When you add 12 to 76, you get 88. 88 is the sum of their ages.
pls help, will give brainliest <3
Answer:
The missing side is 5 sq units.
Count each square unit without a grid.
The picture should prove this true that I edited.
Proof ↓Can someone help me with this one,I’m not exactly sure what the answer is
Answer:
She gained 13,800 pounds
1 ton = 2,000 pounds
2,000 × 7 = 14,000
14,000 - 200 = 13,800
A sink holds 312 gallons. About how many liters does it hold? Round your answer to the nearest tenth if necessary.
Answer:
321
Step-by-step explanation:
I think its 321 because it says round to the nearest tenth
Answer:
1180.9litres
Step-by-step explanation:
The unit conversion between (American) gallons and liters:
1 gallon = 3.785 liters.
312 × 3.785litres = 1180.92litres
= 1180.9litres
What is the remainder when you divide: ( 4x^2 − 11x + 8 ) ÷ ( x + 2 )?
.....................................
Brian sees this tent in a catalog. He is 6 ft 2 in. tall and wants to find out if he will be able to stand up straight in the tent. What is the height of the tent?
A. 5ft.
B. 6ft.
C. 6.5ft.
D. 8ft.
which numbers are rational?
Answer:
the asnwers are B,C, and E
Step-by-step explanation:
4/3=1.3333333... it keeps repeating so it cannot be rational. Same problem with 19/9 (equials 2.111111...)
pi is a number that never ends therefore it is not rational.
Karla buys t-shirts to promote her local business. She develops the inequality t > 100 for the number of t-shirts she needs to sell in order to make a profit. Answer the following questions. If she is selling each shirt for $15 dollars, how much money did Karla spend to make the t-shirts? How do you know?How much money would Karla have lost if she sells only 90 t-shirts?
Karla spent $1500 to make the shirt and will lose $150 if she sells only 90 t-shirts.
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let t represent the number of t-shirts she needs to sell in order to make a profit. Since:
t > 100 and the price is $15 per shirt, hence:
Money spent = $15 * 100 = $1500
Money lost in sell 90 shirts = (100 - 90) * 15 = $150
Karla spent $1500 to make the shirt and will lose $150 if she sells only 90 t-shirts.
Find out more on inequality at: https://brainly.com/question/24372553