Simplify the expression (x^2+3x-28)/(x^2+10x+ 21). Show your work.
NOTE: Must show your factoring work using either the big X strategy covered in class, or the quadratic formula method. Must show how you get factors. Not just give me factors.
Answer:
(x-3) (x-7)
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is +21
Step-1 : Multiply the coefficient of the first term by the constant 1 • 21 = 21
Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is -10 .
-21 + -1 = -22
-7 + -3 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -3
x2 - 7x - 3x - 21
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
3 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-7)
Which is the desired factorization
Sofia has an action figure collection. She keeps 185 of the action figures on her wall, which is 37% of her entire collection. What is the total number of action figures in Sofia's collection?
Answer:
222
Step-by-step explanation:
Answer:
500 figures.
Step-by-step explanation:
We know that 185 figures is 37% of her entire collection.
Let c represent the total amount of figures.
Since 185 is 37% or 0.37 of her total collection, we can write the equation:
[tex]0.37c=185[/tex]
Remember that the keyword of tells us it's multiplication.
Therefore, to find the number of figures in her total collection, divide both sides by 0.37:
[tex]c=\frac{185}{0.37}[/tex]
Evaluate. Use a calculator. So:
[tex]c=500[/tex]
Sofia's total collection has 500 figures.
Determine which quadrant the point is in: (-3,-4)
Quadrant
the answer is quadrant 3
Answer:
Its in quadrant 3
Step-by-step explanation:
Since they are both negative they go into the third quadrant
Graph the linear equation
5x - y = 30 by following these steps:
Step 1: Find the x-intercept. Let y = 0 and solve for x.
=
Answer:
Step-by-step explanation:
5x-(0)=30
add 0 to both sides to cancel
5x=30
divide by 5 on both sides to cancel
x=6
can you guys help me
Answer:
Step-by-step explanation:
X<2
Question 13 - 8 Points
Oct 16, 10:44:33 PM
The Cowboys have 300 followers on social media. Hey are gaining 25 per day. The
Saints have 700 followers, but are losing 15 per day. How many days will it take for
the teams to have the same number of followers?
O 10
O 15
Submit Answer
O 25
O 6
Privacy Policy Terms of Service
Copyright 2020 Delta
Answer:
10 days: ofc there is an easier way to do this but i did my own way down below :)
Step-by-step explanation:
in 1 day
cowboys: 300+25 is 325
saints: 700-15=685
in 2 days:
cowboys: 325+25 is 350
saints: 685-15 is 670
in 3 days:
cowboys: 350+25 is 375
saints: 670-15 is 655
in 4 days:
cowboys: 375+25 is 400
saints: 655-15 is 640
in 5 days:
cowboys: 400+25 is 425
saints: 640-15 is 625
in 6 days:
cowboys: 425+25 is 450
saints: 625-15 is 610
in 7 days:
cowboys: 450+25=475
saints: 610-15 is 595
in 8 days:
cowboys: 475+25 is 500
saints: 595-15 is 580
in 9 days:
cowboys: 500+25 is 525
saints: 580-15 is 565
in 10 days:
cowboys: 525+25 is 550
saints: 565-15 is 550
in 10 days, they will have the same number of followers
Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.
Answer:
A′B′ and AB are equal in length.
Step-by-step explanation:
Given that the location of the points are at A(1, 3) and B(5, 3).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.
If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)
[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]
56 men can do a work in 42 days then how many men will do the same work in 14 days
Given : 56 men can do a work in 42 days .
To Find : In how many men will do the same work in 14 days .
Solution : We will use Unitary method here to solve the above problem . This is a case of inversely proportional that is when one will increase the other will decreases . Here if the number of men will increase then the number of days will decrease and vice - versa .
If in 42 days 56 men can do the work ,
Then in 1 day 42 × 56 men can do the work .
Then in 14 days , [tex]\sf \dfrac{42\times\cancel{56}}{\cancel{14}}[/tex] will do the work = 168 .
Hence 168 men will do the work in 14 days .
[tex]\Large\boxed{\red{\bf Answer = 168 \:men}}[/tex]
∆ABC is isosceles. If m∠B = 35° what is the measure of ∠C?
Answer:
If ABC is isosceles, then <C is 35, and <A should be 110.
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST
You are considering a $3,500 investment. The table shows the possible outcomes in cash flow next year. What is the expected rate of return on this asset?
(see attachment)
Answer:
The expected rate of return is $442.5
Step-by-step explanation:
The expected rate of return is given by the following formula;
[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]
Where;
E[R] = The expected return
[tex]R_i[/tex] = The return received in the instance i
[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i
n = The number of instances for the calculation
Therefore, we have;
The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5
Answer the answer is D 12.6%
Step-by-step explanation:
plz answer 12 points
Answer:
6+3^3
Step-by-step explanation:
6 plus 3 cubed
which is 6+3^3
TIME REMAINING 01:37:16 Absalom states that 0 is a rational number. Which is a correct explanation for this statement? The number 0 is a whole number, which is part of the rational numbers. The number 0 is the center of the number line. The number 0 is a natural number, which is part of the rational numbers. The number 0 cannot be written as a fraction.
Answer:
The number 0 is a whole number, which is part of the rational numbers, is correct.
Step-by-step explanation:
Absalom states that 0 is a rational number.
As the whole numbers are 0,1,2,3,... which is starting from 0, so the stated number 0 is a part of the whole number.
As all the whole number are rational numbers, so 0 is a rational number
Hence, the explanation (i) which is,
The number 0 is a whole number, which is part of the rational numbers, is correct.
The naturals numbers are 1,2,3,... which starts from 1, so 0 is not a part of the natural number, and the number 0 can be written as a fraction like [tex]0=\frac {0}{1}[/tex].
Hence, statement (ii) The number 0 is a natural number, which is part of the rational numbers as well as the statement (iii) The number 0 cannot be written as a fraction, are wrong.
Answer:
The number 0 is a whole number, which is part of the rational numbers.
Step-by-step explanation:
PLEASE HELP ILL UP THE POINTS AND VOTE BRAINLIEST What is the equation of a line that has an undefined slope and passes through point (3,2)?
Answer:
x=3
Step-by-step explanation:
A line with an undefined slope is a vertical line where for each and every value of y ; x has the same value.
In this problem the x value is 3
Therefore the equation for the line is:
x = 3
Help me please, very important!!! (PLEASE)
Read the question carefully!
Write the ratio 12 dollars for 3 tickets as a unit rate
Answer:
12:3
Step-by-step explanation:
I am really behind and I REALLY need help... I am giving every point I have for this...
Answer:
Get ahead then
Step-by-step explanation:
Step-by-step explanation:
Shorts cost $16
T-shirts cost $10
So:
16x + 10y ≤ 100
or
y ≤ -1.6x + 10
Then graph y = -1.6x + 10 and x = 2
Part b:
Using the graph, we can infer that there are two possible solutions:
A. 3 pairs of shorts and 4 t-shirts
B. 4 pairs of shorts and 2 t-shirts
6a. X = number of apples, Y = number of oranges
So:
x + y ≤ 20
0.24x + 0.8y ≤ 12
x ≤ 20 - y
0.24(20 - y) + 0.8 ≤ 12
= 4.8 - 0.24y + 0.8y ≤ 12
= 0.56y ≤ 7.2
y = 12.9 (You can use twelve because there can't be a fraction of an orange.)
x = 7.14 (again, because of fractions, round to 7.)
Therefore, she got 12 oranges and 7 apples.
Part 2:
Question 1:
Both equations are unbounded.
Question 2:
Both equations are unbounded.
Question 3:
Both equations are unbounded.
Question 4:
Both equations are unbounded.
Give me a moment to add question four's graph.
which ordered pair is the solution to y=x+2/5
Answer: (2, 2 )
Step-by-step explanation:
Plug the x and y-values into the given equation. If it makes a true statement, then it is a solution.
y = x +
(0,0) → 0 = 0 + FALSE
(1, ) → = 1 + FALSE
(2, 2 ) → 2 = 2 + TRUE
Evaluate the following and express the answer in scientific notation.
2.44 × 10^ −10 ÷ 4 × 10^ −6
Answer: 6.1e-17
Step-by-step explanation:
the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.
2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶
First, divide 2.44 by 4, which gives us 0.61.
Next, subtract the exponents by applying the division rule for exponents:
10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴
Therefore, the simplified expression is 0.61 × 10⁻⁴.
To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.
Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
Learn more about scientific notation here
https://brainly.com/question/24129248
#SPJ2
Which fraction is in simplest form?
2-10
5-12
3-6
4-8
Answer:
5/12
Step-by-step explanation:
All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.
Simplify 6.9y+2.4y please help me
Answer:
6.9y+2.4y
= 9.3y
Hope it helps u,
pls put thanks and pls mark as the brainliest
3x−8≤23 AND −4x+26≥63,
PLS HELP ILL MARK YOU BRAINEST THIS IS DUE IN 30 minssss
This is how it is solved :
13(y+3)=13y+39
Step 1: Simplify both sides of the equation.
13(y+3)=13y+39
(13)(y)+(13)(3)=13y+39(Distribute)
13y+39=13y+39
Step 2: Subtract 13y from both sides.
13y+39−13y=13y+39−13y
39=39
Step 3: Subtract 39 from both sides.
39−39=39−39
0 = 0
Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .
Geometry
Please help
Use rounding to estimate the sum.
Estimate the sum.
78.9+71.2
Answer:
150
Step-by-step explanation:
add 79+ 71 because you rounded to get that number then add :)
150
When estimating you just round off the numbers so, 78.9 becomes 79 and 71.2 becomes 71 so, 79 + 71 = 150.
2q − q = 18 what does q=
Answer:
18
Step-by-step explanation:
Because -1 q would make it a positive 1q (q) so q=18
Mr. Bartol bought 20 pizzas for a 6th grade party. The total cost was
260.
w much does 1 pizza cost?
Answer:13
Step-by-step explanation:
Mr X went shopping with a certain amount of money. He spent Rs. 10(¼) on buying a pen and Rs. 25(¾) in food. He then gave the remaining Rs. 16(½) to his friend. Calculate how much money he initially had.
Answer:
Rs. 52[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given parameters:
Amount spent on buying a food = Rs. 25.75
Amount spend on buying pen = Rs. 10.25
Amount given out to friend = Rs. 16.5
Unknown:
The total money he initially had = ?
Solution:
The total money he initially had :
= amount spent on food + amount spent on pen + amount given to friend
= Rs. 25.75 + Rs. 10.25 + Rs. 16.5
= Rs. 52.5 or Rs. 52[tex]\frac{1}{2}[/tex]
Solve the following equation
5(3x+5)=3(5x+1)
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
5(3x+5)=3(5x+1)
Step 1: Simplify both sides of the equation.
5(3x+5)=3(5x+1)
(5)(3x)+(5)(5)=(3)(5x)+(3)(1)(Distribute)
15x+25=15x+3
Step 2: Subtract 15x from both sides.
15x+25−15x=15x+3−15x
25=3
Step 3: Subtract 25 from both sides.
25−25=3−25
0=−22
Answer:
There are no solutions.
3*a*2*b what is the answer
Answer
3*a*2*b equals 6ab
if you remove my question you not big brain
Answer:
Whats your question?
Step-by-step explanation:
Answer:
MINE CRAFT U SHOULD NEVER PLAY
Step-by-step explanation: