Answers
Answer:
(6P-4M)(6P+4M)
Step-by-step explanation:
[tex]36P^2-16M^2[/tex] can be factored using the "difference of squares" formula which is [tex]a^{2}-b^{2}=(a+b)(a-b)[/tex].
6*6=36 and 4*4=16; P*P=P^2 and M*M=M^2 -- from this we know that the two variables on each side of the minus sign are perfect squares. Now, see [tex]36P^2-16M^2[/tex] as [tex](6P)^2-(4M)^2[/tex] to make it fit nicer to the formula.
So, [tex](6P)^2-(4M)^2=(6P+4M)(6P-4M)[/tex].
If you forget the formula, you can always go backward on multiple-choice questions like this one. Use FOIL to expand your factored answers.
Related Questions
Chris still makes a base salary of $150 per week but her commission this week is a graduated rate of 2.5% on the first $1,000 and 3.5% for all sales over $1,000 her sales this week were again $1,500
Answers
Answer:
$33190 per year (US dollars per year) (2009)
Local currency conversion:
Au$42890 per year (Australian dollars per year) (19/03/2021)
History:
History
Employment summary:
people employed | 130.648 million people
yearly change | -4.538 million people (-3%)
workforce fraction | 100% (1 in 1)
median wage | $33190 per year (US dollars per year)
median wage yearly change | +$800 per year (US dollars per year) (+2%)
50% range | $(21940 to 52920) per year
80% range | $(17140 to 81160) per year
(2009 data)
Step-by-step explanation:
Lines c and d are perpendicular. The equation of line c is y=−12x+1. What is the equation of line d?
Answers
Answer:
y=1/12x+b
Step-by-step explanation:
To find a perpendicular line, you need to find the negative reciprocal of the gradient in this case its -12x, the negative reciprocal of this is 1/12x we don't know what coordinates this passes through so we just write y=1/12x+b
Hope this helps!!
The rule for the given function whose graph can be obtained from the given parent fuction by performing the given
transformations is written below.
parent function: f(x)
transformations: shift the graph 2 units to the right, stretch it horizontally by a factor of 2, and shift it upward 2 units
g(x)
1
0.5(x - 2) + 2
Please select the best answer from the choices provided
От
Answers
Answer:
l
Step-by-step explanation:
l
pls help asap
Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answers
Answer:
(-2, -3)
Step-by-step explanation:
We are given y = 3x + 3 and y = x - 1.
We can substitute y = x + 1 into the y value for y = 3x + 3, so
x - 1 = 3x + 3 Now, we just subtract x from both sides.
-1 = 2x + 3 We subtract 3 from both sides.
-4 = 2x
2x = -4 We divide both sides by 2
x = -2 Now we have our x value - (-2, y)
Let's substitute the x value into both of the equations given.
1st equation:
y = 3(-2) + 3
y = -6 + 3
y = -3
2nd equation:
y = (-2) - 1
y = -3
We now know that both equations give us the same y value when x = -2 is substituted, therefore our solution is:
(-2, -3)
The solution for the pair of equations is (-2,-3).
What is a system of equation?A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
The pair of equations are
y = 3x + 3 ------- (1)
y = x − 1 -------- (2)
Substitute the equation 2 in equation 1, we get
⇒ [tex]x-1=3x+3[/tex]
⇒ [tex]3x-x=-1-3[/tex]
⇒ [tex]2x=-4[/tex]
⇒ [tex]x=-2[/tex]
Now substitute x in equation 2,
⇒ [tex]y=-2-1[/tex]
⇒ [tex]y=-3[/tex]
Hence we can conclude that the solution for the pair of equations is (-2,-3).
Learn more about system of equations here
https://brainly.com/question/25818432
#SPJ2
DUE IN 45 SECONDS ANSWER QUICK
Answers
Answer:
8 more than x means x plus 8 so basically 8 plus -14 if I'm not mistaken hope this helps!
Answer:
y=8+x
x= -14
y=8-14=-6
hope it is right answer for it!!
a) Work out (8 x 10°) * (2 x 104)
Give your answer in standard form.
Whats the standard form ?
Answers
Answer:
16640x²
Step-by-step explanation:
Which of the following is a solution to the equation y=-1/4x+8 and please explain the steps.
A. (10, -8) C. (-4, 9) B. (4, 8 )D. (-8, -10)
Answers
Solve each system by substitution.
y = 2x + 5
3x - y= -6
Answers
To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.
You now have 3x - (2x + 5) =-6
This can be solved like a normal equation. Multiply each term in the parenthesis by -1.
3x - 2x - 5 = -6
Subtract 2x from 3x
x - 5 = -6
Add 5 to both sides
x=-1
Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.
y= 2(-1)+5
y= -2+5
y=3
You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.
An unopened cereal box contains `15/28` cubic foot of cereal. If the box is full, and the length and height of the box are `5/7` and `1(1)/(2)` feet, respectively, what is the width of the box? A. `1/2` foot B. `1/7` foot C. `3/5` foot D. `4/7` foot
Answers
Answer:
A. `1/2` foot
Step-by-step explanation:
The computation of the width of the box is shown below:
15 ÷ 28 = (5 ÷ 7)(1 1 ÷ 2)(width)
15 ÷ 28 = (5 ÷ 7)(3 ÷ 2)width
15 ÷ 28 = (15 ÷ 14)width
(15 ÷ 28) ÷ (15 ÷ 14) = width
(15 ÷ 28) × (14 ÷ 15) = width
w = 14 ÷ 28
= 1 ÷ 2 ft
Answer:
a
Step-by-step explanation:
ABC is translated 2 units right and 1 unit down. What is the new location of point C?
A (1, −7)
B (1, −3)
C (2, −5)
D (4, −6)
Answers
Answer:
(4,-8)
Step-by-step explanation
hope it helps
Answer:
it's (4,-6)
Step-by-step explanation:
the first answer given by the other user is incorrect.
What is the coefficient of x in expansion of (2x-4)^2 ?
Answers
Answer:
2
Step-by-step explanation:
the one which is near to x
please tell me the anwer please asap
Answers
Answer:
The equation is:
y = -15*x + 1200
and:
a = 120
b = 70
c = -1500
Step-by-step explanation:
This seems to be a linear relationship.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Here we know that our line passes through the points (60, 300) and (20, 900)
Then the slope of this line is:
a = (900 - 300)/(20 - 60) = 600/(-40) = -15
Then this line is something like:
y = -15*x + b
To find the value of b, we know that this line passes through the point (60, 300) then when x = 60, we have y = 300.
Replacing these values in the above equation we get:
300 = -15*60 + b
300 + 15*60 = b = 1200
Then:
y = -15*x + 1200.
Now that we have this equation, we can complete the table.
a is the value for y, when x = 72
Then we can replace x by 72 in the above equation:
a = -15*72 + 1200 = 120
a = 120
b is the value of x when y = 150, then we need to replace y by 150
150 = -15*b + 1200
150 - 1200 = -15*b
(150 - 1200)/-15 = b = 70
then:
b = 70
c is the value of y when x = 180, then we need to replace x by 180.
c = -15*180 + 1200
c = -1500
The triangle below can be best classified as?
Answers
Answer:
obtuse scalene
Step-by-step explanation:
Three different sizes.
For each problem, information is given related to a linear relationship. Use the given information to write an algebraic rule for the linear relationship. Write the rule in the form indicated.
50 points and brainly.
Answers
Answer:
a) y = 4x - 2b) y = 3x + 2c) y = 2x - 6Step-by-step explanation:
a)
The slope as per two ordered pairs (-2, -10), (0, -2)
m = (-2 - (-10))/(0 - (-2)) = 8/2 = 4The y-intercept is -2
The equation for this function:
y = 4x - 2b)
The slope is
m = 3The line passes through (1, 5)
The line is:
y - 5 = 3( x - 1) in point-slope formy = 3x +2 in slope-intercept formc)
The slope as per points on the graph (3, 0), (4, 2)
m = (2 - 0)/(4 - 3) = 2The line in point slope form using point (3, 0):
y = 2(x - 3)The line in slope-intercept form:
y = 2x - 6a) substitute m = 4 and c = - 2 into the slope intercept equation, thus, the equation of the line is y = 4x - 2
The answer is y = 4x - 2
b) Let's begin by listing out the given information:
The line has a slope of 3
The equation of the line becomes:
[tex]y = mx + b \\ m = 3 \\ y = 3x + b[/tex]
The line passes through point (1, 5).
We will obtain the equation using the point-slope formula, we have:
[tex]y - y1 = m(x - x1) \\ (x1 \: y1) = (1 \: 5) \\ y - 5 = 3(x - 1) \\ y - 5 = 3x - 3 \\ y = 3x - 3 + 5 \\ y = 3x + 2[/tex]
Therefore, the equation of the straight line is y = 3x + 2
c) we use that point and the slope to replace in the expression:
[tex]y - y1 = m(x - x1)[/tex]
That is:
[tex]y - 0 = 2(x - 3) \: \: y = 2x - 6[/tex]
y = 2x - 6 is the answer
HELP HELP HELP HELP
Answers
can u plz help me I don't understand
Answers
Answer:
No
Yes
No
Yes
No
Yes
Step-by-step explanation:
u multiply 10% and 84= 8.4
anything close to 84- 8.4
find the value of x .
Answers
Answer:
49.79
Step-by-step explanation:
Using SOH CAH TOA;
Le the height be h
Tan 70 = h/16
h = 16tan70
Get the value of x
Opposite = 16tan70
hypotenuse = x
sin 62 = 16tan70/x
x = 16sin70/sin62
x = 16(2.7475)/0.8829
x = 43.96/0.8829
x = 49.79
Hence the value of x is 49.79
How do I solve equations with a variable to the power of something (give steps please)
Like these.
[tex]2x^2+5x=0[/tex]
Answers
Answer:
Step-by-step explanation:
Factoring will reveal the solution. So we divide the equation by the greatest common factor of the terms and use that factor as the coefficient. In this case the greatest common factor is just x.
2x^2+5x
x(2x+5) so the equation will equal zero when either of those expressions is zero because zero times anything is zero. x=0 and x=-5/2
Answer:
[tex]x = 0, -\frac{5}{2}[/tex]
Step-by-step explanation:
First move all terms to one side of the equation to set them equal to 0
That is already done in your problem
The try to factor, if possible. In your case, factor out x
x(2x + 5) = 0 Now, use the property that says if AB = 0, then A = 0 or B = 0 or both A and B equal 0
So, x = 0 or 2x + 5 = 0
2x = -5
x = [tex]-\frac{5}{2}[/tex]
Always check your results in the original equation to see if they work
[tex]2(0^{2} + 5(0) = 0 + 0 = 0\\[/tex]
and [tex]2(-\frac{5}{2} )^{2} + 5(-\frac{5}{2} )\\ = 2(\frac{25}{4} ) - \frac{25}{2} \\ = \frac{25}{2} - \frac{25}{2} = 0[/tex]
Both results make the equation true, so [tex]x = 0, -\frac{5}{2}[/tex]
A dilation with a scale factor of 2 is A. an enlargement B. a reduction C. mean D. volume
Answers
Answer:
A) an enlargement
Step-by-step explanation:
Answer:
A. an enlargement
Step-by-step explanation:
i don’t have a calculator guys
Answers
5.09036570031
One DP= 5.1
Hope this helps :>From Cambridge please give brainliestfind the value of x please help
Answers
using angle sum property
we get
110+35+(x+12)=180
(x+12)=180-145
(x+12)= 35
x= 35-12
x= 23
Answer:
Angles in a triangle are sum up to 180 degrees.
35 + 110 + (x+12)=180
145+x+12=180
157+x=180
x=180-157
x=23 degrees
Which of the following graphs represent a proportional relationship? Select all that apply.
Answers
Answer:
A, B, and E
Step-by-step explanation:
A proportional relationship is when the graph starts from the origin, (0, 0).
A biologist is studying a bacteria population that initially contains 10^3 bacteria. In the lab, the population doubles every week. The expression 10^3×2^w models the population of the bacteria after w weeks. How many bacteria will be present in 3 weeks? CK12
Answers
Answer: 8000
Step-by-step explanation:
From the question, we are informed that the expression 10³ × 2^w models the population of the bacteria after w weeks.
The number of bacteria that will be present in 3 weeks will then be:
= 10³ × 2^w
= 10³ × 2³
= 1000 × 8
= 8000 bacterias
HELP ME THIS IS really URGENT ILL BRAINLIST AND MARK U 5 STARS!!! SOMEONE WHOS GOOD AT MATHS THIS FOR U. btw the 4 is small. best of luck <3
for the expression 9m4 + 7p - 17
1) whats the constant in that expression?
2) whats the coefficient of p?
3) whats the number of the terms?
Answers
Answer:
Constant= -17
coefficient of p= 7
No: of terms= 3(Trinomial)
Step-by-step explanation:
Does this scatter plot show a positive trend a negative trend or no trend
Answers
The dots are moving in a downward direction from left to right, so it is a negative trend.
Anise wants to have longer hair than her sister. Her sister's hair is 2.25 feet long. How long does Anise's hair have to
be? Which graph represents the scenario?
1
2 3 4 5
-3 -2 -1 0 1
--
十十 + + +P
-3 -2 -1 0 1 2 3 4 5
O
1 1 Hot
+++
-3 -2 -1 0 1 2 3 4 5
о
+ HHH
-3 -2 -1 0 1 2 3 4 5
Answers
Answer:
The answer is B and the guy above me is correct.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
cs i'm right
what's
[tex]25\% \: \: of \: \: 200[/tex]
Answers
25% is also 1/4. So we can do 200(1/4) or 200/4 which is 50.
Step-by-step explanation:
50 is the answer I
jjsndn
Zach hiked to the top of a mountain. He started the hike at 11:15 A.M. It took 3 hours to get to the top of the mountain and 1 hour and 45 minutes to hike back down. What time was it when Zach finished the hike?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Help ASAP!!! Brainilest
Show how u got the answer!!!
Answers
11:15+3:00=14:15 = 2:15 2:15+1:45= 4:00
he finished his hike at 4:00 P.M.
I hope my explanation makes sense to u
HELPA ASAP MY TEACHER IS YELLING AT ME !!! ILL MARK U AS BRAINLIEST
Answers
Answer:
True
Step-by-step explanation:
false
Step-by-step explanation:
anyone know how to do this
Answers
Answer:Hi
Step-by-step explanation: