Answer:
For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms
Step-by-step explanation:
Here, we want to select which of the options must be present in order for factoring by grouping to apply.
The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms
What this mean is that we must have an equal ratio two times
This practically plays out each time we are to factorize quadratic expressions
For example, in the case of
x^2 -12x + 20
This can be written as;
x^2 - 10x - 2x + 20
which can then be written as x(x-10) -2(x -10)
= (x-2)(x-10)
The first two terms have a ratio of ;
x^2/-10x while the last two terms have a ratio -2x/20
Thus, we have -x/10 and -x/10
We can see here that the ratios of both sets are equivalent
Answer:
The ratio of the first two terms must be equivalent to the ratio of the last two terms
at a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .
Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?
Answer: y=8x-2
Step-by-step explanation
Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2
Answer:
Step-by-step explanation:
y=8x-2
How much time will it take for a bug to travel 10 meters across the floor it is traveling at
a rate of 2 m/s?
Answer:
5 seconds
Step-by-step explanation:
First let's use the equation.
D (Distance) = Speed (s) x Time (t)
Now let's find the components given in the problem.
Distance = 10 meters
Speed = 2 m/s
Now let's substitute the values in.
10 = 2t
Now let's solve for t.
10 = 2t
t = [tex]\frac{10}{2}[/tex]
t = 5
Therefore, it will take 5 seconds.
Hope this helped! If not, please let me know! <3
Gcf of 16abc^2, 28abc
Answer:
4abc..............................
Asking for the answer to this algebra problem please! Tysm!
Answer:
b
Step-by-step explanation:
i did the math
Find the Error A large box of spaghetti noodles contains 3 pounds and costs $2.40. A student said the unit cost is $1.20 per pound. Complete
the statement to explain why the student was incorrect and find the correct answer.
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $ _______
by the number of pounds, _______
So, the cost per pound is $ _______
Answer: A) $2.40 B) 3 C) $0.80
A, B, and C are in order of the blanks.
Answer:
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $2.40
by the number of pounds, 3 lbs
So, the cost per pound is $0.80
Step-by-step explanation:
2.40 divided by 3 is $0.80
I hope this helped, please mark Brainliest, thank you!
I need help with this please!!
Answer:
The correct choices would be A, C, D & F. Correct me if I'm wrong :)
Please help ASAP
Drag and drop the numbers into the correct locations
Answer:
first box: -1
second box: √-1
Step-by-step explanation:
the imaginary number equals √-1 and when you square it, the roots would go away, leaving you with -1.
Which one is the right answer?
Answer:
angle 2 is 35 degrees
angle 3 is 55 degrees
Answer:
(below)
Step-by-step explanation:
since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees
1 is a right angle. so, m of angle 1 = 90 degrees
if all interior angle of a triangle add up to 180, angle 2 must equal 35
Which equation has no solutions?
1. 2(x + 3) = 3(2x + 2)
2. -x + 3 + 5x = 4x + 3
3. 2(2x – 10) + 32 = 4(x+3)
4. 3(5x + 4) – 20 = 15x -4
Answer:
4. 3(5x+4)-20=15x-4 has no solution
Step-by-step explanation:
3(5x+4)-20 = 15x - 4
15x-8=15x-4
15x = 15x+4
0=4
No Solution
Answer:
3(5x + 4) – 20 = 15x -4
Step-by-step explanation:
2x + 6 = 6x + 6 One solution 4x = 0
4x + 3 = 4x + 3 infinite solutions
4x + 12 = 4x + 12 infinite solutions
15x - 8 = 15x - 4 no solutions -8 ≠ -4
I solved the problems ahead of time if you need the work tell me.
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. Note that we have variables on both sides of the equation.
Hank draws a line with a zero slope through the points
(–2, 4) and (3, b). Which value of b could represent Hank’s second point?
–3
–1
4
9
Answer:
It's 4
Step-by-step explanation:
Answer:
The answer is C which is 4
Step-by-step explanation:
I just took the test and got it right
Hopefully this helps you
pls mark brainlest
4x - 8 = 12
4x - 8 + 8 = 12 + 8
4x = 20
4/4x = 20/20
x=
Answer:
x=5
Step-by-step explanation:
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.
Hope this helps!
The solution is: The value of x is: x=5
Here, we have,
given that,
the expression is: 4x - 8 = 12
we get,
4x - 8 = 12
or, 4x - 8 + 8 = 12 + 8
or, 4x = 20
now, we have,
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.
i.e. 4x/4 = 20/4
or, x = 5
Also, if replace x with 5 within any of the equations it works.
Hence, The solution is: The value of x is: x=5
To learn more on Expression click:
brainly.com/question/14083225
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A 34-year-old woman has a maximum heart rate of 175 bpm. She plans an exercise program so that her heart rate will be between 80% and 90% of her maximum heart rate for at least 30 minutes a day, 3 days a week. Calculate the desired range of heart beats per minute for this exercise program
Answer:
The desired range is from 141 bpm to 157 bpm
Step-by-step explanation:
Given that the maximum heart rate = 175 bpm.
She plans an exercise program to reach the desired heart rate which is in the range of 80% and 90% of the maximum heart rate.
So, the lower limit of the desired heart rate = 80% of the maximum heart rate
=\frac{80}{100}\times 175= 140 bpm
and the upper limit of the desired heart rate = 90% of the maximum heart rate
=\frac{90}{100}\times 175= 157.5 bpm
So, mathematically, the desired range is between 140 bpm and 157.5 bpm.
The heart-beats per minute should be a counting number, so, round the upper limit to the lower integral value to be within the range.
Hence, the desired range is from 141 bpm to 157 bpm.
m² - 9m +8
(Factoring)
show steps
Answer:
I really dont know sorry love <3
Step-by-step explanation:
PLEASE HURRYYYY
find three points that solve the equation x- 4y=-18
Answer:
one of the three plots is (-2,4)
Step-by-step explanation:
what are the factoris a^7+ab^6
Answer:
Step-by-step explanation:
a^6(a + b^6)
4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.
Answer:
3x - 2y = - 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - 2y = 12 ( subtract 3x from both sides )
- 2y = - 3x + 12 ( divide all terms by - 2 )
y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 2) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form
Multiply through by 2
2y = 3x + 28 ( subtract 2y from both sides )
0 = 3x - 2y + 28 ( subtract 28 from both sides )
- 28 = 3x - 2y , that is
3x - 2y = - 28 ← equation in standard form
what is 65 + 4 1 grade math class
Answer:
106
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
A ticket to see your favorite baseball team costs $30.08. That price decreases by $0.42 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 27 games. What is the price of a ticket after the team loses 27 games?
Given :
A ticket to see your favorite baseball team costs $30.08.
That price decreases by $0.42 for every game lost during the regular season.
To Find :
What equation could you use to find the cost C of a ticket after L losses.
Solution :
Let, n is number of match loses and P is the price of ticket.
So, equation is given by :
P = 30.08 - (0.42)n .......1)
Putting n = 27 in above equation,we get :
P = 30.08 - ( 0.42 )( 27 )
P = $18.74
Therefore, the price of a ticket after the team loses 27 games is $18.74 .
Hence, this is the required solution.
A local supermarket sells shrimp $9.49/lb and beef for $5.99/lb Todd buys s pounds of shrimp and b pounds of beef. Which of the following inequalities represents that Sandy only has $65 to spend?
Answer: 9.49s + 5.99b ≤ 65
Plz mark brainliest:)
Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2
Answer:
y=-2x-13
Step-by-step explanation:
y=mx+b
3=-2(-8)+b
3=16+b
3-16=b
-13=b
can someone PLEASE answer this
the correct answer is the last one. hope this helped
Answer:
y = 3x+1
Step-by-step explanation:
Slope:
Change in y = 6
Change in x = 2
6/2=3
Y intercept:
when x is 0 y is 1, so the y intercept is 1
therefore the answer is y = 3x+1
Rhombus ABCD with vertices A(2, 6), B(6, 7),
C(5, 3), and D(1, 2): 180°
Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?
Answer:
0.24$
Step-by-step explanation:
Each egg costs 1/12 of 2.88.
So either you multiply 2.88 by 1/12
or you divde 2.88 by 12
Answer:
0.24
Step-by-step explanation:
you would divide 2.88 by 12 hope this helps.
how many snakeman and red crows books were sold altogether
Hi! Could you please send a picture of the full problem? Thanks!
If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.
Answer:
2x⁴ + x³ - 3x² - 4x + 2
4
Step-by-step explanation:
Given functions:
f(x) = 2x⁴ - 3x² - 2x + 5
g(x) = x³ - 2x - 3
Unknown:
Sum of the polynomials = ?
Order of the sum = ?
Solution:
The sum of the polynomial is expressed as;
f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 + x³ - 2x - 3
= 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3
= 2x⁴ + x³ - 3x² - 4x + 2
The order of the sum is the highest power which 4.
This polynomial is of the 4th order.
PLEASE HELP THIS IS DUE IN 6 MinUTES
This is it if you can’t solve it it’s fine!
Answer:
is 115
Step-by-step explanation:
i think since 7 checks equal 50, 14 must equal 100. and the other kid already had 15 dollars i think so that makes sense......... i think
Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW
X= -2
Explanation: the photos are in order :)
Answer:
x = -2
Step-by-step explanation:
3/5 +3/10x = 4/5 + 2/5x
Step 1. Change every fraction into the same denominator
6/10 + 3/10 x = 8/10 + 4/10x
Step 2. Subtract 3/10x
6/10 = 8/10 + 1/10x
Step 3. Subtract 8/10
-2/10 = 1/10x
x = -2
If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?
Answer:
if u get it pls tell me
Step-by-step explanation:
1. A tortoise is running on a long, moving sidewalk. Her pedometer doesn't report her speed, but she knows that—since she got on—she's been running for 40 minutes and that she's traveled 3 kilometers. Unfortunately, she realizes she left her suitcase on the ground just before she got on the sidewalk. Since she's too short to climb over the handrails, she decides to turn around and run at the same speed back to her suitcase. If it takes her 2 hours to return to her suitcase, how fast (in kilometers per hour) was the moving sidewalk moving? How fast (in kilometers per hour) was the tortoise running?
Answer:
the sidewalk speed q = 3km/hr
the tortoise speed p is 1.5 km/hr
Step-by-step explanation:
From the given information:
let the speed of the tortoise be p & the speed of the sidewalk be q
she's been running for 40 minutes (40/60 = 2/3) and that she's travelled 3 kilometres
Thus,
p + q = [tex]\dfrac{3}{\dfrac{2}{3}}[/tex]
p + q = 9/2
p + q = 4.5 ----- (1)
when returning, she travelled 3km in 2 hours
i.e. -p + q = 3/2
-p + q = 1.5 ----- (2)
Thus, by using the elimination method for equation (1) and (2)
p + q = 4.5 ----- (1)
-p + q = 1.5 ----- (2)
2q = 6
q = 6/2
q = 3 km/hr
From equation (1)
p + q = 4.5
p + 3 = 4.5
p = 4.5 - 3
p = 1.5 km/hr
Therefore, the sidewalk speed q = 3km/hr and the tortoise speed p is 1.5 km/hr