Answer: no solution
Step-by-step explanation:
-2(x-7)+3(x+5)=x+9
Distribute
-2x+14+3(x+5)=x+9
Distribute
-2x+14+3x+15=x+9
Combine like terms
x+29=x+9
Subtract(x)
29=9
Because 29 does not equal 9, the equation has no solutions
Hope it helps <3
Answer:
There is no solution.
Step-by-step explanation:
[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]
Distribute -2 through the parentheses
[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]
Distribute -3 through the parentheses
[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]
Collect like terms
[tex]x + 14 + 15 = x + 9[/tex]
Add the numbers
[tex]x + 29 = x + 9[/tex]
Cancel equal terms on both sides of the equation
[tex]29 = 9[/tex]
The statement is false for any value of x
x ∈ ∅
Hope this helps..
Best regards!!
Katya has $20.00 to spend at her college bookstore, where all students receive a 20% discount . katya wants to purchase a copy of a book that normally sells for $22.50 plus 10% sales tax. how much dose the book sell for dose katya have enough money bc bc?
Answer:
here you go :)
Step-by-step explanation:
You would take 20% of $22.50 (22.5 multiplied by .2). You would get $4.50 off of the book with the discount. So you would subtract 4.5 from 22.5 and get $18. Then you would take 10% of $18 for the sales tax. (18 multiplied by .1). You would get $1.80 towards sales tax. you would then add $1.80 to $18 and get $19.80.
Show how you can determine that the inscribed figure inside a quadrilateral is a parallelogram. Support your argument with diagrams.
Answer:
See diagram
Step-by-step explanation:
A quadrilateral becomes a parallelogram when the diagonals bisects each other at a point E and hence proves the quadrilateral is a parallelogram. It shows both pairs of opposite sides being parallel to each other.
Following the theorem that states that, if two sides of a quadrilateral are opposite and congruent, then it is a parallelogram. Ditto for the theorem that states that, that when diagonals cuts each other at a point in a quadrilateral, then its a parallelogram.
Please answer it now in two minutes
Answer:
∠ I ≈ 60.3°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan I = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HG}{GI}[/tex] = [tex]\frac{7}{4}[/tex] , thus
∠ I = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60.3° ( to the nearest tenth )
the answer is 10 by root 65 so the answer is 10
HELP please!!!
Jeanie wants a $100 000 mortgage. She arranged payments for the next 15 years. The bank charges 4.8%/a interest, compounded monthly.
a) how much is each monthly payment
b) how much interest is jeanie paying?
Answer:
in one month : 13676.57/12=1139.71
the interest on 100000 is: 205148.48-100000=105148.48
Step-by-step explanation:
A=P(1+r)^t (p is the mortgage, t is the time and r is the rate)
p=100000,t=15*12 month,r=4.8%( or 0.048)
A=100000(1+0.048/12)^(12*15)
A=205148.48 (the number rounded to the nearest hundredth)
205128.48 is the amount she has to pay it after 15 years
in one year : 205128.48/15=13676.57 ( rounded to nearest hundredth)
in one month : 13676.57/12=1139.71
the interest on 100000 is: 205148.48-100000=105148.48
I'm marking answers as brainliest. The solution to the following system is ________. -9x + 6y = -30, -7x + 12y = -16 * I I (0,2) (4,1) (-4,7) (2,1)
Answer:
Step-by-step explanation:
-9x + 6y = -30
-7x + 12y = -16
18x - 12y = 60
-7x + 12y = -16
11x = 44
x = 4
-36 + 6y = -30
6y = 6
y = 1
(4,1)
Answer:
(4,1)
Step-by-step explanation:
-9x + 6y = -30.............(1)
-7x + 12y = -16 ............(2)
(2) - 2(1)
-7x+12y - 2(-9x+6y) = -16 - 2(-30)
simplify
11x = 44
or
x = 4 .......................(3a)
substitute (3) in (1)
-9(4) + 6y = -30
6y = -30 + 36
6y = 6
y = 1 ......................(3b)
Using results from (3a) and (3b), we have
solution : (4,1)
HELP ME PLEASE!!!!! Write and solve an equation based on the relationship between the angles in the diagram below to find the value of a.
Answer:
a = 104
Step-by-step explanation:
The sum of angles around a point is 360°.
a° +126° +a° +26° = 360°
2a +152 = 360 . . . . collect terms, divide by °
2a = 208 . . . . . . . . subtract 152
a = 104 . . . . . . . . . . divide by 2
Find the value of x in the triangle
shown below.
X
85
67
Answer:
x = 28 degrees. 180 degrees in a triangle, 180-85-67=28
Answer:
28 degrees
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees.
The three angles given are: x, 85, and 67.
Therefore, these three angles must add to 180.
x+85+67=180
Combine like terms on the left. Add 85 and 67.
x+ (85+67)=180
x+152=180
We want to find x. We need to get x by itself. 152 is being added to x. The inverse of addition is subtraction. Subtract 152 from both sides.
x+152-152=180-152
x=180-152
x=28
x is 28 degrees.
A polynomial has a leading coefficient of 1 and the
following factors with multiplicity1:
x-(2 + i)
X - V2
What is the factored form of the polynomial?
Answer:
(A)[tex][x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}][/tex]
Step-by-step explanation:
A polynomial has a leading coefficient of 1 and the following factors with multiplicity 1:
[tex]x-(2+i)\\x-\sqrt{2}[/tex]
We apply the following to find the factored form of the polynomial.
If a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial.If the polynomial has an irrational root [tex]a+\sqrt{b}[/tex], where a and b are rational and b is not a perfect square, then it has also a conjugate root [tex]a-\sqrt{b}[/tex].[tex]\text{Complex conjugate of }x-(2+i)=x-(2-i)\\\\\text{Complex conjugate of }x-\sqrt{2}=x+\sqrt{2}[/tex]
Therefore, the factored form of the polynomial is:
[tex][x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}][/tex]
Answer:
A
Step-by-step explanation:
EDGE 2021
Angle G is a circumscribed angle of circle E. Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Angles E B D and F D E have measures of x degrees. What is the measure of angle G, in terms of x? x° + x° x° + 90° 180° – x° 180° – 2x°
Answer:
X+X
Step-by-step explanation:
did it on edg
Answer:
x° + x°
Step-by-step explanation:
Edge 2020
Instructions: Find the Measure of the indicated angle to the
nearest degree.
Answer:
tan(x) is 23/28 x= the unknown angle
then multiply each side by the inverse of tan giving you x=tan^-1(23/28) which I got as 39°
Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost $11.50 Write an inequality. Also, after getting the eggs, how many boxes of sugar can Alonso afford? Thanks.
Answer:
1) The inequality is $55 ≥ $11.50 × S + $2.75
2) Alonso can afford 4 boxes of sugar
Step-by-step explanation:
The given information are;
The total amount with Alonso = $55
The amount of eggs Alonso needs = 12 eggs
The costs of the pack of 12 eggs = $2.75
The number of packs of eggs Alonso buys = 1
The cost of each box of sugar = $11.50
Let the number of boxes of sugar Alonso buys = S
Given that the total amount of money with Alonso is $55, then the inequality will be such that $55 will be equal to or larger than the expression for items bought
Therefore, the inequality is given as follows;
$55 ≥ $11.50 × S + $2.75
2) To find out how many boxes of sugar Alonso can afford, we have;
$55 ≥ $11.50 × S + $2.75
$55 - $2.75≥ $11.50 × S
$52.25 ≥ $11.50 × S
∴ S ≤ $52.25/$11.50 = 4.54
S ≤ 4.54 boxes of sugar
As the sugar comes in whole boxes, Alonso can therefore afford only 4 whole boxes of sugar.
Alonso can afford to buy 4 boxes of sugar.
An inequality to represent how many boxes of sugar can Alonso afford is 55 ≥ 2.75 + 11.50s
Given:
Amount with Alonso = $55
Package of 12 eggs = $2.75
Cost of each box of sugar = $11.50
let
s = number of boxes of sugar Alonso can afford
The inequality:
55 ≥ 2.75 + 11.50s
solve for s
55 - 2.75 ≥ 11.50s
52.25 ≥ 11.50s
divide both sides by 11.50
52.25 / 11.50 ≥ s
4.5434782608695 ≥ s
Alonso can only buy a whole box of sugar
Therefore, the number of boxes of sugar Alonso can afford is 4 boxes
Read more:
https://brainly.com/question/11067755
find tan(a) in the triangle
Answer:
tan (a) = 24/7Step-by-step explanation:
tan∅ = opposite / adjacent
From the question
AC is the adjacent
BC is the opposite
So we have
tan (a) = BC / AC
tan (a) = 24/7
Hope this helps you
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $63fare among the x of them. Angela also paid a $8tip. How much did Angela pay in total? Write your answer as an expression
1.if tip included in fare, total amount paid by Angela =(55$/x) +8$
if tip is not included in fare than total amount paid by angela = (63$/x)+8$
Explanation :-
According to qus
Total friends included Angela = x
Total fare paid by them =63$
If tip included in total fare, than total fare without tip=63-8
= 55$
Sothat,
amont paid by individual =total fare /total friends. 55$/x
If tip not include in total fare than total amount paid by individual =63$/x
A wholesaler requires a minimum of four items in each order from its retail customers the manager of one retail store is considering ordering a certain number of sofas X and a certain number of pillows that come in pairs why which graph represents the overall equation represent by the scenario appointment not apply to the scenario
Answer: Option D
Step-by-step explanation:
Answer:
✔ D.
Step-by-step explanation:
E2021
In a bag containing cards numbered 1 to 10,one of which is drawn at random.Find the probability that it is a 5
Answer:
1/10
Step-by-step explanation:
there are 10 cards, numbered 1 through 10, there is one "5" card. so that's 1 card out of 10 cards, therefore a 1/10the chance or a 10% chance you'll get a 5 (or any specific number)
01:14:29 The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x + 5.50) = 111.75; the monthly Internet service is $31.75 3 (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x + 5.50) = 111.75; the monthly Internet service is $31.75
Answer: 3(x minus 5.50) = 111.75; the monthly Internet service is $42.75
Step-by-step explanation:
Given the following :
Total amount spent on internet for 3 months = $111.75
Monthly credit received on bill = $5.50
Monthly Credit of $5.50 means $5.50 is deducted from the amount being paid on thir bill monthly.
Assume their monthly internet service fee = x
The amount paid before the credit deduction each month:
Amount paid - credit
(x - $5.50)
For 3 months :
3 × (x - $5.50) = $117.75
3(x - $5.50) = $117.75
Monthly fee paid before credit deduction:
3(x - $5.50) = $117.75
3x - $16.50 = $117.75
3x = $117.75 + $16.50
3x = $128.25
x = $128.25 / 3
x = $42.75
Answer:
It's b !! :o]
Step-by-step explanation:
Find the intercepts and graph the following linear equations: 2y − 6 = 0
The y-intercept is [tex](0,\frac{6}{2})=(0,3)[/tex] and there is no x-intercept since the equality can simplified to the point of obtaining a constant function [tex]y=3[/tex] which does not depend on x.
Hope this helps.
simplify √16n/m^3 1. 4√mn/n^2 2.4√mn/m 3.√mn/4m 4. 4√mn/m^2
Answer: [tex]4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}[/tex] .
Step-by-step explanation:
The given expression: [tex]\sqrt{\dfrac{16n}{m^3}}[/tex]
'
since [tex]16=4^2[/tex]
[tex]m^3=m^{2+1}= m^2\times m[/tex] [[tex]a^{n+m}=a^n\times a^m[/tex]]
Now, the given expression becomes,
[tex]\sqrt{\dfrac{4^2n}{m^2\timesn}}=\dfrac{4\sqrt{n}}{m\sqrt{m}}[/tex]
Since there is root in denominator , so we need to rationalize
[tex]\dfrac{4\sqrt{n}}{m\sqrt{m}}\times\dfrac{\sqrt{m}}{\sqrt{m}}=\dfrac{4\sqrt{mn}}{m\times\sqrt{m}\times\sqrt{m} }\\\\=\dfrac{4\sqrt{mn}}{m\times m}\\\\=\dfrac{4\sqrt{mn}}{m^2}[/tex]
Hence, the correct option is [tex]4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}[/tex] .
Complete the inequality with >, <,>,<,is greater than, comma, is less than, comma or ==equals. 2^52 5 2, start superscript, 5, end superscript 5^25 2 5, squared
Answer:
[tex]2^5 > 5^2[/tex]
Step-by-step explanation:
Given the expression [tex]2^5 \ 5^2[/tex], we are to complete the inequality by inserting the correct inequality signs in between the values.
Before we do that, we must know the value of each indicinal expressions.
[tex]2^5 = 2*2*2*2*2\\\\2^5 = 4*4*2\\\\2^5 = 16*2\\\\2^5 = 32[/tex]
Also,
[tex]5^{2} = 5*5\\\\5^2 = 25[/tex]
From the values gotten, we can clearly see that 32 is greater than 25. This means that 2⁵ is greater than 5². Hence the inequality sign that will complete the expression is a greater than sign (>).
The inequality will be [tex]2^5 > 5^2[/tex]
Answer:
its this
over here...
Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form? Y = 3 (x minus seven-halves) squared minus StartFraction 27 Over 4 EndFraction y = 2 (x minus 1) squared minus 11 y = 2 (x minus one-half) squared minus StartFraction 53 Over 4 EndFraction y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or
[tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Step-by-step explanation:
Vertex form of equation : [tex]f (x) = a(x - h)^2 + k,[/tex]where (h, k) is the vertex of the parabola.
[tex]y=3(x-2)^2-(x-5)^2\\\\=3(x^2+4-4x)-(x^2+25-10x)\\\\=3x^2+12-12x-x^2-25+10x\\\\=2x^2-2x-13\\\\=2(x^2-x-\dfrac{13}{2})\\\\=2(x^2-x+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{13}{2})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{1+26}{4})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{27}{4})=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Hence, the vertex form of the equation is [tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Answer:
i got y=2(x-1/2)^2- 27/2 so the last one is right
Step-by-step explanation:
:)
Yesterday, a factory used (2)/(3) of a tub of peanut butter. They use 16 of a tub of peanut butter for each batch of peanut butter cookies. How many batches of peanut butter cookies did the factory make yesterday? help!
Answer:
4 batches
Step-by-step explanation:
1/3=2/6, 2/3=4/6
what is the domain of the function represented by the graph.?
Answer:
all real numbers
Step-by-step explanation:
There is nothing on the graph to indicate the function is undefined for any values of x. The domain is all real numbers.
Answer:
Domain is all real numbers.
Step-by-step explanation:
The domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x.
A ________ is a summary description of a fixed characteristic or measure of the target population. It denotes the true value that would be obtained if a census rather than a sample was undertaken.
Answer:
standard deviation
Step-by-step explanation:
A standard deviation summary description of a fixed characteristic or measure of the target population. It denotes the true value that would be obtained if a census rather than a sample was undertaken.
Are the terms CSC, SEC, and COT equivalent to the terms Sin^-1, Cos^-1, and Tan^-1? Are the three pairs of terms the same thing just written differently, or are they entirely different?
Answer:
Step-by-step explanation:
It depends on how it is written. By definition
[tex]\csc(x) = (\sin(x))^{-1} = \frac{1}{\sin(x)}[/tex]
[tex]\sec(x) = (\cos(x))^{-1} = \frac{1}{\cos(x)}[/tex]
[tex]\cot(x) = (\tan(x))^{-1} = \frac{1}{\tan(x)}[/tex]
however the functions
[tex]\sin^{-1}(x), \cos^{-1}(x), \tan^{-1}(x)[/tex] are the inverse functions of sine, cosine and tangent respectively. So, they are not equivalent functions
I need help on this one question ASAP
Answer:
choose the last option .
you could check my answer using desmos graph (search on Google)
Any help with this please???? Running out of time!
Answer:
Sin A = 21/29Step-by-step explanation:
[tex]Using\: A \: as\: a\: refernce\: angle ;\\Hypotenuse = 29\\Opposite =21\\Adjacent = 20\\\\Using \: SOHCAHTOA\\Sin A = \frac{Opposite}{Hypotenuse} \\\\Sin A = \frac{21}{29}[/tex]
What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12? (–∞, –3] [–3, ∞) (–∞, 15] [15, ∞) SORRY THIS IS THE FULL QUESTION
Answer:
[15, ∞).
Step-by-step explanation:
–3(6 – 2x) ≥ 4x + 12
-18 + 6x ≥ 4x + 12
6x - 4x ≥ 12 + 18
2x ≥ 30
x ≥ 15
This means that the minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).
Hope this helps!
Which choice shows the coordinates of B' if the trapezoid is reflected across the x-axis? On a coordinate plane, trapezoid A B C D has points (2, 2), (7, 2), (5, 1), (3, 1). (–7, 2) (2, –7) (7, –2) (–2, 7)
Answer:
(7, -2)
Step-by-step explanation:
The trapezoid A B C D has points (2, 2), (7, 2), (5, 1), (3, 1).
Transformation of a point is the change in location from an original position to a new position. If a shape is transformed, all its points are also transformed. A transformation can either be a rotation, translation, reflection or dilation.
If a point O(x,y) is reflected across the y axis, the new coordinate of the point is at O'(x, -y), i.e. the x coordinate does not change, but the y coordinate is negated.
Since in trapezoid ABCD, the coordinate of point B is (7, 2). The trapezoid is reflected across the x-axis, therefore the new coordinate of B' is at (7, -2)
Answer:c
Step-by-step explanation:
I took the test
factor the trinomial.
x2+11x+24
Answer:
(x + 3)(x + 8)
Step-by-step explanation:
We're looking for two numbers that have a sum of 11 and product of 24; these numbers are 3 and 8 so the factored form is (x + 3)(x + 8).
Answer:
(x + 8)(x + 3)
Step-by-step explanation:
Hey there!
Well in the polynomial,
x^2+11x+24
we need to find out what*what = 24
8*3 = 24
8x + 3x = 11x
x*x = x^2
Factored (x + 8)(x + 3)
Hope this helps :)
Solve by completing the square: x^2+4x-5
Answer:
(x + 2)^2-9
How to find answer:
Use the formula (b/2)^2 in order to complete the square.
Hope this helps :)