4x - 7 = -2x +12 what are the steps ?
Step-by-step explanation:
4x-7=-2x+12
Add 2x
6x-7=12
Add 7
6x=19
Divide 6
x = 19/6
19/6 = 3 1/6
x = 3 1/6
Answer:
First u have to take -7 to the other side to make it +7 which will make it 4x=-2x+12+7And then take -2x to the other side to make 4x+2x=12+7which makes it 6x=19then solve for xboth divided by 66x/6=19/6cancel both 6athen x =ans?Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
Answer:
functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Step-by-step explanation:
Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)
On the other hand, the function f(x) has two roots that are obtained by factoring it out:
[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]
Therefore it has roots at x=2 and x= -3
So functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Ryan went to the store to buy some walnuts. The price per pound of the walnuts is $4.50 per pound and he has a coupon for $2.75 off the final amount. With the coupon, how much would Ryan have to pay to buy 5 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.
Answer:
19.75.
Expression: 4.50pp - 2.75
(pp is the variable, pretend)
After reading 7/9 of a book , 40 pages are left .How many pages are there in the book
Answer:
180 pages
Step-by-step explanation:
Answer: 180 pages
Step-by-step explanation:
Let the equation be
x - 7/9x = 40
9x - 7x = 360
x = 360 / 2 = 180
The book has total 180 pages
Means he has read (180 - 40) = 140 pages
Can the side lengths of 8, 9, and 12 form a triangle?
Yes
No
Please help help help :(
Yes, with sides 8,9 and 12 triangles can be formed.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
From the triangle property, the sum of the two sides of the triangle should be greater than the third side.
From the given data the sum of the two sides is greater than the third side.
8 + 9 > 12
17 > 12
Hence, with sides 8,9 and 12 triangles can be formed.
To know more about triangles follow
https://brainly.com/question/17335144
#SPJ2
which two ratios are not equal 1: 6 and 3: 18 A. B 2: 14 and 12: 6 and 2: 1 C. D 3: 11 and 6: 22 please help Thanks
Answer:
3:11 and 6:22
Step-by-step explanation:
Answer: 2:14, 12:6, and 2:1
Step-by-step explanation:
2:1 and 12:6 are equal because you can multiply the 2 and 1 in 2:1 by 6 to get to 12:6.
But 2:14 is not equal to the ratio 2:1, because you can't multiply 2 and 1 to any one number to equal the ratio 2:14.
3a^2 * 2a^3
multiply the monomial
Answer:
6a^5
Step-by-step explanation:
3a^2*2a^3
3×2+a^2×a^3
6a^5
Answer:
The answer is 6a⁵.
Step-by-step explanation:
You have to use Indices Law,
[tex] {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} [/tex]
So for this question :
[tex]3 {a}^{2} \times 2 {a}^{3} [/tex]
[tex] = (3 \times 2) \times ( {a}^{2 + 3}) [/tex]
[tex] = 6 \times {a}^{5} [/tex]
[tex] = 6 {a}^{5} [/tex]
what is circular test track
Answer:
A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.
Step-by-step explanation:
Find the missing expressions... (6+4n) - (8+3n) =? And (4+6n) - (3+8n)=?
a plane flies 1640 miles in 4 hours. what is the average speed of the plane?
Answer:
Speed = 410 miles/hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 1640 miles, Time = 4 hours
Speed = 1640/4
Speed = 410 miles/hour
Find equation of a line passing through the pair of points. Write the equation in the form Ax+By=C (-2,2)and(-3,-9)
Answer:
11x - y = - 24Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line first find the slope
Slope of the line using points
(-2,2)and(-3,-9) is
[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]
Then use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) can be any of the points
Equation of the line using point (-2,2) and slope 11 is
y - 2 = 11 ( x + 2)
y - 2 = 11x + 22
11x - y = - 2 - 22
We have the final answer as
11x - y = - 24Hope this helps you
Airborne Airlines Inc. has a $1,000 par value bond outstanding with 20 years to maturity. The bond carries an annual interest payment of $102 and is currently selling for $880. Airborne is in a 30 percent tax bracket. The firm wishes to know what the aftertax cost of a new bond issue is likely to be. The yield to maturity on the new issue will be the same as the yield to maturity on the old issue because the risk and maturity date will be similar.
a. Compute the yield to maturity on the old issue and use this as the yield for the new issue. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
b. Make the appropriate tax adjustment to determine the aftertax cost of debt. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
Answer:
(a) 11.64%
(b) 8.15%
Step-by-step explanation:
Airborne airlines has an annual interest of payment= $102
Principal payment= $1,000
Time to maturity= 20 years
Current price of the bond= $880
The formular for calculating the yield on maturity is
[ Annual interest payment+Principal payment-(price of the bond/number of years to maturity)] / 0.6(price of the bond) + 0.4(principal payment)
(a) [102+(1000-880)/20)]/ [0.6(880) + 0.4(1000)]
= [102+ (120/20)]/ [528+400]
= [102+6]/ 928
= 108/928
= 11.637%
= 11.64% ( to 2 decimal places)
(b) Kd= Yield(1-T)
Kd= 11.64(1-0.30)
Kd= 11.64×0.7
Kd= 8.145%
Kd= 8.15%( to 2 decimal places)
Hence the yield to maturity on the new issue is 11.64% and the aftertax cost of debt is 8.15%
share £40 in the ratio 1:4 between Tim and Sam
Answer:
[tex]\£8:\£32[/tex]
Step-by-step explanation:
[tex]\frac{40}{1+4}[/tex]
[tex]\frac{40}{5}[/tex]
[tex]=8[/tex]
[tex]1:4[/tex]
[tex]1 \times 8:4 \times 8[/tex]
[tex]8:32[/tex]
Answer:
Tim gets £8
Sam gets £32
Step-by-step explanation:
Ratio is 1:4
So, Total parts are 1+4 = 5
Dividing it by total parts
= [tex]\frac{40}{5}[/tex]
= £ 8
So, Tim gets £8
But,
Sam gets 4(£8)
= Sam gets £32
a food scientist wants to know if increasing the amount of lemon juice in a hummus recipe by 10% will increase the shelf life of the product, so he prepares 100 Badges of the recipe - 50 following the old recipe and 50 with extra lemon juice –and?checks each batch once per day to see how long it stays fresh. What type of data source is this?
Answer:
b. Experiment
Step-by-step explanation:
Setting up conditions so that you can examine the outcome is called an "experiment."
Answer:
[tex]\fbox{\begin{minipage}{10em}Option B-Experiment\end{minipage}}[/tex]
Step-by-step explanation:
As described, the food scientist performs the research based on the actual data, without using a computer or any simulation devices.
=> The data source is not generated from a computer simulation.
=> Option A-Simulation is incorrect.
The food scientist intentionally prepares the research by conducting an experiment, in which 100 badges are used, 50 badges following the old recipe and 50 badges with extra lemon juice.
=> This is not a subjective process, but a purposely attempting to observe the amount of lemon juice in a specific manner.
=> This is not a survey.
=> Option C-Survey is incorrect.
=> Option B-Experiment is correct.
Hope this helps!
:)
What is the surface area of the cylinder
Answer:
T. S. A. =2πrh+2πr2
V=Bh
V = Base×h
V= (lw) × h
V= lwh
PLEASE HELP. Will give brainliest to whomever answers first.
Answer:
2π/3 I believe !
Step-by-step explanation:
what is question 67?
Answer:
create a graph
Step-by-step explanation:
you have to make a line on the graph using the function
please help me w dis!! marking brainiest!!!
Answer:
D
Step-by-step explanation:
Distributing the factors we get
-8x^2 -6x +35
The ages of Hari and Harry are in the ratio 5:7. Four years later from now the ration of their ages will be 3:4. Find their present ages..............................Pls i need help
Answer:
20 and 28
Step-by-step explanation:
Let x represent the current age of Hari and y represent the current age of Harry
Since the current ratio is 5:7:
5/7 = x/y
→ 5y = 7x (1)
Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:
3/4 = (x+4)/(y+4) (2)
→ 3(y+4) = 4(x+4)
→ 3y + 12 = 4x + 16
→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)
→ 3(7x/5) = 4x + 4
→ 21x = 20x + 20
→ x = 20
y = 7x/5 = 7(20)/5 = 28
Factor each polynomial using the difference of two squares patt
square trinomial pattern.
x² – 9
Answer:
(x+3)(x-3)
Step-by-step explanation:
It is a difference of squares so it is sqrt of x^2 gives x and sqrt of 9 gives +3, -3. So we get (x+3)(x-3).
Which of the following is a number that is used to describe how two random variables are related?
A.) Comparison coefficient
B.) variable
C.) Correlation coefficient
D.) Sigma
How many terms in
(3x^2-4x+2)-(2x^2-4x-5)
[tex]\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}[/tex]
Hi can any one please help me to do this I have no idea about it please help me
Answer:
188.4cm³
Step-by-step explanation:
Solve x4 − 7x2 − 18 = 0
Answer:
the answer is
x=±3,±√2
ı
Step-by-step explanation:
(x^2−9)(x2+2)=0
Mr. Smith tells you that a right triangle has a hypotenuse of 19 and a leg of 10. He asks you to find the other leg of the triangle. What is your answer?
Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16 which is rounded to the nearest hundredth.
Step-by-step explanation:
10^2 + b^2 = 19^2
100 + b^2 = 361
-100 -100
b^2 = 261
b= [tex]\sqrt{261}[/tex]
A shopkeeper sold a book for $ 180.He made a profit of 20%.calculate the cost price of the book.
Please help!Am new to this chapter.
Hello!
Answer:The cost of the book is $150.
______________________________Explanation:CP = [tex]\frac{SP(100)}{100 + PP}[/tex]
Basically, what this formula is saying is that to find the cost price (CP), we must multiply the sale price (SP) by 100, and divide the product by the sum of 100 + profit percentage (PP).
CP = [tex]\frac{180(100)}{100 + 20}[/tex]
CP = [tex]\frac{18000}{120}[/tex]
CP = 150
Answer:
$150
Step-by-step explanation:
let cp=x
(20/100*x) +x=180
1/5x+x=180
6x/5=180
6x=180*5
x=(180*5)/6
x=150
what is the coefficient in the expression
3(m*)4+5
The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.
Which expression represents the width of the rectangle?
1. x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).
2. x2+10 because the area expression can be rewritten as (x2+10)(x2−10) which equals (x2+10)((x2+10)−20).
3. x2−30 because the area expression can be rewritten as (x2+10)(x2−10) which equals (x2+10)((x2−30)+20).
4. x2+30 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2+30)−20).
Answer:
[tex]1. x^2-10[/tex] because the area expression can be rewritten as [tex](x^2-10)(x^2+10)[/tex]which equals [tex](x^2-10)((x^2-10)+20).[/tex]
Step-by-step explanation:
Area of the rectangle [tex]=(x^4-100)[/tex]
[tex]x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)[/tex]
Since the length of a rectangle is 20 units more than its width.
[tex]Width: x^2-10\\Length=x^2+10=x^2-10+20[/tex]
The correct option is therefore 1.
Answer:
x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).Step-by-step explanation:
The area of the rectangle is [tex]x^{4} -100[/tex], which can be factored as [tex](x^{2} +10)(x^{2} -10)[/tex], because it's the difference of two perfect squares.
But, we know that [tex]l=20+w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
Additionally, [tex]l=x^{2} -10+20[/tex] and [tex]w=x^{2} -10[/tex], which means [tex]l=x^{2} +10[/tex].
Therefore, the right answer is A.
Let the polynomials A = 7x² + 3xy and B = -3xy .
Determine A. B (multiplication)
a) - 21x 2 – 9xy
b) 21x 2 + 9xy
c) – 7x 2 – 3xy
d) 7x 3 + 3x 2 y 2
e) – 21x 3 y – 9x 2 y 2
Answer:
– 21x^3 y – 9x^2 y^2 e) is your answer
Step-by-step explanation:
Solve the following system for A and B:
{A = 7 x^2 + 3 x y
B = -3 x y
Express the system in matrix form:
(1 | 0
0 | 1)(A
B) = (7 x^2 + 3 x y
-3 x y)
Write the system in augmented matrix form and use Gaussian elimination:
(1 | 0 | 7 x^2 + 3 x y
0 | 1 | -3 x y)
Collect results:
Answer: {A = 7 x^2 + 3 x y , B = -3 x y
then we multiply the results (7 x^2 + 3 x y) ( -3 x y) = – 21x^3 y – 9x^2 y^2
Neon green is a paint color that contains the colors yellow and green in the ratio 3:5 by volume. How many ml of each color is in 100ml of neon green paint? Show your thinking