Answers
When we factor out the GCF of -3, we get:
-3(q^2 + 7q + 10)
Next, we must look for two numbers that will serve as coefficients for the variables in factored form. These two numbers must add to 7 (the middle term) and multiply to 10 (the constant or last term). The two numbers that satisfy these parameters are 5 and 2.
Therefore, we must use these numbers to create factors of the innermost factor that we have left, to get:
-3(q+5)(q+2)
The above expression is your final answer, because you cannot factor any more. And remember: you can always check to make sure that your factoring is correct by multiplying out the factors and making sure you get your original trinomial.
I hope this helps!
Related Questions
melina walked 9/12 mile day dor 5 days. what was the total distance in 32 miles, she walked in the 5 days?
Answers
Melina covered 15/4 miles in 5 days.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Melina walked 9/12 mile day.
If she walked 5 days then she covers
= 5 x 9/12
= 45/12
=15/4
Hence, 15/4 miles covered in 5 days.
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the area of a rectangle is text square and the length of the rectangle is 3 ft more than twice the width. find the dimensions of the rectangle length and width
Answers
Let the Width of rectangle is x feet.
Length of rectangle is 3 feet more than twice the width.
Thus,Length can be written as: 2x + 3
Area of rectangle is product of its length and width.
So,
Area = Length x Width
[tex]35 = x (2x + 3) \\ \\ 35 = 2 x^{2} +3x \\ \\ 2 x^{2} + 3x - 35 = 0 \\ \\ 2 x^{2} + 10x - 7x - 35 =0 \\ \\ 2x (x + 5) - 7 (x+5) = 0 \\ \\ (2x-7)(x+5)=0[/tex]
Thus
x = -5
or
x =7/2 = 3.5
Since the measure of width cannot be negative, we neglect x = -5. and keep the value x = 3.5
Therefore,
Width = 3.5 feet
Length = 2x + 3 = 2(3.5) + 3 = 10 feet
-21 is located to the right or left of -20
Answers
Mark’s salary is $900 per month. What is his yearly salary? $
Answers
Which of the following uses absolute value correctly to show the distance between -40 and 18
Answers
|-40 -18| = |-58| = 58 . . . . units
_____
In the first selection, it is trying to tell you |-58| = -58. That is not so. The result of taking the absolute value is that the sign is never negative.
Convert y-3=(1/3)(x+1) to slope intercept form
Answers
Here, we first need to distribute the 1/3.
[tex]y-3= \frac{1}{3} x+\frac{1}{3}[/tex]
Next, we add 3 to both sides of the equation.
[tex]y= \frac{1}{3} x+\frac{10}{3}[/tex]
what is the surface area of the following figure and I need work to please and thank you
Answers
Which expression is equivalent to 3*5*5*5*5*5*5
Answers
Answer:
Step-by-step explanation:
3(5)6
Solve for x and y.
y=x^2-5x+1
x+y=-2
Answers
x + y = -2
substitute the first equation into the second one....
x + x² - 5x + 1 = -2
x² - 4x + 1 = -2
add 2 on both sides to make the equation equal to 0.
x² - 4x + 3 = 0
factor this.
(x - 1)(x - 3) = 0
x = 1 , x = 3
to find the y values, you would have to substitute x = 1 and x = 3.
1 + y = -2 3 + y = -2
y = -3 y = -5
So your answers are
x = 1 , x = 3
y = -3, y = -5
Hope this helped!
a straight line through points p and q is drawn perpendicular to a line through points p(x,y) and r(x,(y+10)) . the possible coordinates of the point q are_?
Answers
On the X-Y plane, the points p and r are on the vertical line X=x. Then the perpendicular (horizontal) line through p will have the equation Y=y. Points q on that line will have coordinates
... q(<anything>, y)
You mix the letters S, E, M, I, T, R, O, P, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability that you select a vowel. Write your answer as a fraction in simplest form.
Answers
__ is the answer hope that i helped
12
math teacher doesn't explain this very well, please help solve.
Answers
[tex]P_s = 4s/tex]
[tex]P_t = 3s=s+s+s[/tex]
Now, we can set up our equation:
[tex]4(x-3) = 8 + x + x[/tex]
[tex]4x-12 = 8+2x[/tex]
We can solve for x:
[tex]2x-12=8[/tex]
[tex]2x = 20[/tex]
[tex]x = \frac{20}{2} = 10[/tex]
So, x = 10.
b) We known the perimeter formulas and we have what x is. So, let's just plug and chug.
Square:
[tex]4(x-3) = 4(10-3) = 40-12 = 28[/tex]
So, the perimeter of the square is 28 units².
Since their perimeters are equal the perimeter of the triangle is also 28 units²
What is the value of X?
Write as decimal.
Answers
dMN/dMP=dAM/x
dAM=46.2-14=32.2 cm
then
x=dAM*[dMP/dMN]=32.2*[72.6/46.2]=50.60 cm
the answer is x=50.60 cm
Social networking websites are often assumed to help shy people communicate and make friends. However, a study of site users has shown that they have lower self-esteem than those who do not use social networking sites.
Based on this excerpt, we can conclude that using social networking websites .
Answers
Social networking websites helps in communication and making friends , but cannot help in overcoming shyness
What is Shyness ?Shyness is a part of human behaviour that inhibits people who are shy to interact freely with people , It is a kind of fear to meet and be around new people.
Social Media has helped the shy people to be able to interact with new people without actually seeing them or meeting them ,
It has become a getaway from actually meeting people face to face , most of the feelings are communicated through messages.
The research that they have lower self-esteem than those who do not use social networking sites is true because actually making new friends in the actual world help you build confidence and makes you overcome shyness.
Social media is helping shy people but keeping them shy and so they never overcome the behaviour and in long run are still unable to talk to people and thus have low self esteem.
From this it can be concluded that for shy people , Social networking websites helps in communication and making friends , but cannot help in overcoming shyness.
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Answer:
The answer would be 'is associated with low-self esteem'
Step-by-step explanation:
toby needs 2 4/5 poundscof clay to make one sculpture how many sculptures can he make from 14 pounds of clay show your work
Answers
We divide the amount of clay, 14 pounds, by the amount it takes to make one sculpture, 2 4/5 pounds:
14 ÷ 2/45 = 14 ÷ 14/5 = 14/1 ÷14/5 = 14/1 × 5/14 = 70/14 = 5
the function f(x) varies inversely with x and f(x) = 0.2 when x = 0.4.
what is f(x) when x = 1.6
Answers
f(x) = k/x
There is always a constant of variation , k to solve for using the given information. when x = 0.4 ; f(x) = 0.2
0.2 = k/0.4
0.2(0.4) = k
0.08 = k
final equation : f(x) = 0.08/x
when x = 1.6
f(x) = 0.08/1.6
f(x) = 0.05
a triangular prism and two nets are shown which is the correct net of the prism and what is the surface area of the prism???
A)net A with 420 square inches
B) net A with 480 square inches
C) net B with 510 square inches
D) net B with 534 square inches
Answers
Plz help i want to learn how to do this math
Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny 5.25
per pound, and type B coffee costs 4.15
per pound. This month, Jenny made 150
pounds of the blend, for a total cost of
642.60. How many pounds of type B coffee did she use?
Answers
Given that type A coffee costs $4.15 per pound
(4.15x)
Given that type B coffee costs $5.25 per pound
(5.25y)
And that the total cost of it all was $642.60
[tex]4.15x + 5.25y = 642.60[/tex]
Also, the amount of pounds, represented by x and y add up to 150 pounds total:
[tex]x + y = 150[/tex]
A=167lbs-B
$4.35A+$5.70B=$846.60 Substitute for A
$4.35(167lbs-B)+$5.70B=$846.60
$726.45-$4.35B+$5.70B=$846.60 Subtract $726.45 from each side.
$1.35B=$120.15 Divide each side by $1.35.
B=89 lbs
ANSWER: The mix contained 89 pounds of Type B coffee.
CHECK:
167lbs-89lbs=78 lbs She used 78 pounds of Type A coffee.
$4.35A+$5.70B=$846.60
$4.35(78)+$5.70(89)=$846.60
$339.30+$507.30=$846.60
$846.60=$846.60
Samantha had 300 beads 30% were black 25% were red 15% were white.the remaining beads are blue. how many were blue?
Answers
For this you have to find the amount of every color of beads.
300 * 0.30 which is 90 black beads
300 * 0.25 is 75 red beads
300 * 0.15 is 45 white beads
Then you add them.
90+75+45 = 210
Then subtract them from the total
300 - 210 = 90
The answer is 90 blue beads or 30%
Hope this helps!
what is the probability of picking a red card from a standard deck of 52 cards?
Answers
[tex]\bf P(\diamondsuit~or~\heartsuit)\implies \cfrac{13}{52}+\cfrac{13}{52}\implies \cfrac{26}{52}\implies \cfrac{1}{2}[/tex]
Answer: 50
Step-by-step explanation:
A rectangular pool is 12m long and 6m wide. A walkway of uniform width surrounds the pool. If the area of the walkway is 9m squared less than that of the pool, how wide is the walkway?
Answers
The area of the pool is 12(6) = 72 m².
Adding a walkway of unknown width, x, around all 4 sides of the pool increases the width by 2x and the length by 2x; thus the area of the entire pool and walkway together would be given by
(12+2x)(6+2x)
We know that the area of just the walkway is 9 m² less than the area of the pool. This means that:
(12+2x)(6+2x)-72 = 72-9
Multiplying through we have:
12*6+12*2x+2x*6+2x*2x - 72 = 63
72 + 24x + 12x + 4x² - 72 = 63
24x + 12x + 4x² = 63
36x + 4x² = 63
Writing in standard form we have:
4x² + 36x = 63
We want to set it equal to 0 to solve, so subtract 63 from both sides:
4x² + 36x - 63 = 63 - 63
4x² + 36x - 63 = 0
Using the quadratic formula,
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\=\frac{-36\pm \sqrt{36^2-4(4)(-63)}}{2(4)} \\ \\=\frac{-36\pm \sqrt{1296--1008}}{8}=\frac{-36\pm \sqrt{1296+1008}}{8} \\ \\=\frac{-36\pm \sqrt{2304}}{8}=\frac{-36\pm 48}{8}=\frac{-36+48}{8}\text{ or }\frac{-36-48}{8} \\ \\=\frac{12}{8} \text{ or }\frac{-84}{8}=1.5 \text{ or }-10.5[/tex]
Since a negative width makes no sense, the walkway is 1.5 m wide.
32% of 50 please answer fast need help ............
Answers
the answer is 16.
32% needs to change to 0.32. then, you multiply 0.32 by 50, and the sum is 16.
hope you have a great day / night :)
Alice says she can find the area of the room by dividing the floor plan into two trapezoids. show how she can divide the floor plan. then find the area using her method
Answers
To find the room's area, Alice can divide the floor plan into two trapezoids, calculate each trapezoid's area using the formula for a trapezoid's area (A = (a + b)/2 × h), and then sum the two areas.
Alice can find the area of the room by first dividing the floor plan into two trapezoids, which can be done by drawing a line across the room that connects two non-adjacent vertices. Once divided, you can use the formula for the area of a trapezoid to find the area of each part and then sum the two areas to get the total area of the room.
Calculating the Area of a Trapezoid
The formula for the area of a trapezoid is:
A = (a + b)/2 × h
Where a and b are the lengths of the two parallel sides, and h is the height. Once you calculate the area of both trapezoids using this formula, you can add them together to find the total area of the room.
if 12 newborn babies are randomly selected, how many different gender sequences are possible?
Answers
The question concerns the different combinations or sequences possible in a group of 12 newborn babies, each of whom could be either male or female. Using the formula 2ⁿ, where n represents the number of babies, we find there are 4096 different gender sequences possible.
Explanation:This question pertains to combinations, specifically the different combinations of male and female sequences possible with a random selection of 12 newborn babies. When considering gender sequences, we have two possibilities for each newborn, male (M) or female (F).
With 12 newborns, each having two possible genders, we calculate the total gender sequences as 2 raised to the power of 12, based on the rule of the product in probability theory. Therefore, we use the formula 2n, where 'n' is the number of babies. Here, 'n' is 12, so 212 gives us 4096.
So, there are 4096 different gender sequences possible when 12 newborn babies are randomly selected.
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write an expression that is,equivalent tp 7/8
Answers
[tex] \frac{7}{8} [/tex] = [tex] \frac{3.5}{4} [/tex]
Enjoy.
~Isabella
Savanna had 40 iris blooms last year. This year she had 15% more iris blooms. How many more iris blooms did Savanna have this year?
Answers
40+15%=46
hope one of these helped
40 iris blooms -----> 100%
x iris blooms -------> 115%
Clearing the value of x we have:
x = (115/100) * (40)
x = 46
Then, comparing with last year we have:
40-46 = 6
Answer:
Savanna had this year 6 more iris blooms than last year.
FIND.......16 2/3 % of 96 lamps
Answers
16 2/3 = 16 2/3 ÷ 100 = 1/6
16 2/3 % of 96 = 1/6 x 96 = 16
Ans: 16 2/3 % of 96 lamps = 16
If y varies directly as x and y=3 when x=12, what is the value of when x=18
Answers
Answer:
1/4(18)
Step-by-step explanation:
nee help with y this question
Answers
This can be found by dividing $216 by 2, to equal the division of hours by 2.
Express the number .0957 as a percent rounded to the hundredth place. (please include the % symbol.)