Answer:
2. b) New amount = £6200
Same ratio → Jon : Bon = 3 : 7
6200 ÷ (3 + 7) = 620
⇒ 620 × 3 : 620 × 7
⇒ 1860 : 4340
Jon = £1860
Bon = £4340
3.
Tom : Thom : Thomas
= 2 : 3 : 5
= 2x: 3x : 5x
Given Tom received £2400:
⇒ 2x = 2400
⇒ x = 1200
2x: 3x : 5x
⇒ (2 × 1200) : (3 × 1200) : (5 × 1200)
⇒ 2400 : 3600 : 6000
Tom = £2400
Thom = £3600
Thomas = £6000
4.
cats : dogs
= 1 : 5
= 1x : 5x
Given there are 8 cats:
⇒ 1x = 8
⇒ x = 8
1x : 5x
⇒ (1 × 8) : (5 × 8)
⇒ 8 : 40
Therefore, there are 40 dogs
Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) have in common?
A. Both f(x) and g(x) have the same domain of (0, -60).
B. Both f(x) and g(x) have the same range of [0,-).
C. Both f(x) and g(x) have the same x-intercept of (2,0).
D. Both f(x) and g(x) increase over the interval of (-4,-).
A. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same domain of [tex](9, +\infty)[/tex].
How to analyze similarities in two functions
In this question we must analyze the domain, range, x-intercepts and increase intervals:
Domain[tex]Dom \{f(x)\} = \mathbb{R}[/tex]
[tex]Dom \{g(x)\} = \mathbb{R}[/tex]
Both functions are continuous.
Range[tex]Ran \left\{f(x)\right\} = (3.875, +\infty)[/tex]
[tex]Ran \{g(x)\} = (-5, +\infty)[/tex]
x-Intercepts[tex]f(x):[/tex] [tex](x,y) = \emptyset[/tex]
[tex]g(x):[/tex] [tex](x,y) = (2.322, 0)[/tex]
Increase intervals[tex]f(x):[/tex] According to the graph, [tex]f(x)[/tex] increase over the interval of [tex](3.875, + \infty)[/tex].
[tex]g(x) :[/tex] According to the graph, [tex]g(x)[/tex] increase over the interval of [tex]\mathbb{R}[/tex]
After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. [tex]\blacksquare[/tex]
RemarkThe statement presents mistakes and is poorly formatted. Correct form is:
Given a polynomial function [tex]f(x) = 2\cdot x^{2}-3\cdot x + 5[/tex] and an exponential function [tex]g(x) = 2^{x}-5[/tex]. What key features do [tex]f(x)[/tex] and [tex]g(x)[/tex] have in common?
A. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same domain of [tex](9, +\infty)[/tex].
B. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same range of [tex](-\infty, 0][/tex].
C. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same x-intercept of [tex](2,0)[/tex].
D. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] increase over the interval of [tex](-4, +\infty)[/tex].
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372
Fully describe the association that would exist between variables with the given correlation coefficient. (a) r=0.6578 (b) r= 0.1648 (c) r = -0.9875
Answer:
Step-by-step explanation:
Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.
please answer quickly
Answer:
106
Step-by-step explanation:
The given is a pentagon and the sum of interior angles is = 540
so to find the value of x:
132 + 90 + x + x + x = 540 add like terms
222 + 3x = 540 subtract 222 from both sides
3x = 318 divide both sides by 3
x = 106
4 Anderson earned $36,800 in taxable income last year. According to his tax
table, he should pay $922.50 plus 15% of the amount over $9,225. How much
income tax will Anderson owe?
Answer:
$1556.25
Step-by-step explanation:
Factor completely 16x2 − 25. (4x − 5)(4x − 5) (4x 5)(4x − 5) (16x 5)(x − 5) (16x − 5)(x 5)
All of the quadrilaterals in the shape below are squares. Find the area of the shaded
region.
4
6
The area of shaded region is 32 square units.
What is area ?"The area can be defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. The area is measured in square units such as square centimeters, square feet, square inches, etc."
To find the area of the shaded region
1. Find the area of the biggest square ([tex]A_{1}[/tex])
Formula for area of a square
[tex]A_{1}[/tex] = side × side
⇒[tex]A_{1}[/tex] = 10×10
⇒[tex]A_{1}[/tex] = 100 square units.
2. Find the area of the unshaded region ([tex]A_{2}[/tex])
[tex]A_{2}[/tex] = X(biggest square)+ 2.Y(smallest square)
⇒[tex]A_{2}[/tex] = [tex](6[/tex]×[tex]6)[/tex] + [tex]2(4[/tex]×[tex]4)[/tex]
⇒[tex]A_{2} =36+2.(16)[/tex]
⇒[tex]A_{2}=68[/tex] square units
3. Find the difference of [tex]A_{1}[/tex] and [tex]A_{2}[/tex]
Area of the shaded part = [tex]A_{1}[/tex] - [tex]A_{2}[/tex]
= 100-68
= 32 square units.
Hence, The area of shaded region is 32 square units.
Learn more about area of square here
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The sum of the digits of a two-digit number is 7. If the digits are reverses, the new number is 9 more than the original number. Find the original number.
25
Step-by-step explanation
Let the ones's digit =x.
So, sum of the digits =7
Tens's digit =7−x
Original no. =10(7−x)+x=70−10x+x=70−9x
Reversed no. =10x+7−x=9x+7
2(orig no) = reversed no. −2
2(70−9x)=9x+7−2
140−18x=9x+5
27x=135
x=5
Ten's digit =7−5=2
No. =25
A farmhouse shelters 20 animals. Some are pigs and some are ducks. Altogether there are
46 legs. How many of each animal are there?
Answer:
7 pigs and 9 ducks.Their are many other answers to this question this is one of the ones that are correct.
Find the quadratic equation given that the roots are 3 and 9
Answer:
[tex]\bold\purple{Quadratic \: \: eq {}^{n} = x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\ [/tex]
Sum of roots ,
[tex]( \alpha + \beta ) = (3 + 9) = 12[/tex]
Product of roots ,
[tex]( \alpha \beta ) = (3)(9) = 27[/tex]
Substituting the values in the above equation ,
[tex]\bold{x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\\\ \bold{⇢ x {}^{2} - (12)x + 27} \\\\ \bold\blue{ ⇢x {}^{2} - 12x + 27}[/tex]
hope helpful~
A circle is drawn on the coordinate plane. It
has a center at (2, 1) and passes through the
point (2, 5). What is the approximate
circumference of the circle?
Step-by-step explanation:
please mark me as brainlist please
Answer:
Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:
r=((5-1)^2+(2-2)^2)^(1/2)
r=(4^2-0^2)^(1/2)
r=4 units.
Circumference=2pr so our circumference is 8p units^2
so about 25.13 u^2
Find a common denominator and then subtract and simplify your answer.
11/12-3/4
a: 1/7
b: 1/5
c: 1/6
Answer: c. 1/6
Step-by-step explanation:
The least common demoninator would be 12, as 12 is a multiple of 4.
We can multiply the fraction 3/4 by (3/3)
3/4 = 3/4*(3/3)
= (3*3)/3*4)
= 9/12
We can plug in the value of 9/12 in as 3/4 back into the expression:
= 11/12 - 9/12
We can combine the numerators since there is a common denominator:
= (11-9)/12
= 2/12
Divide the numerator and denominator of this fraction by 2:
= 1/6
What are the terms in the expression 7x + 4y + 1?
Answer:
7x, 4y
Step-by-step explanation:
terms are numbers with variables in expressions. usually able to count because + and - split them
Determine a series of transformations that would map Figure E onto F.
Answer:
a reflection across y = -x
Step-by-step explanation:
When reflecting across y = -x,
(x,y) becomes (-y , -x )
basically switch the x and y, then change to the opposite sign
Mr.Maar received 18 packages contained 5 crayons for his classroom. Each package 5 crayons. Write an equation that show the total amount of crayons (t) Mr. Maar has.
What is 30% of 20? Please help
Answer:
the answer is x=6
Step-by-step explanation:
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18pi meters.
What is the area A of the cross section of the column?
Give your answer in terms of pi.
A = m spuared
Answer:
81π m²Step-by-step explanation:
Circumference formula: C = 2πr
Compare with given value and determine the radius:
2πr = 18πr = 18π/2πr = 9 mFind the area of the cross-section.
Area formula: A = πr²
Area: A = 9²*π = 81π m²
Find radius
C/2π18π/2π9mSo.area
πr²9²π81πm²4 students is ____% of 20 students
Answer:
20%
Step-by-step explanation:
20 * 20% = 4
or you can change it to a decimal
20 * .2 = 4
hope this helped! :)
a couch at the wholesale price is $125. If the markup rate at the furniture store is %40,what is the price of the new couch
Answer: $175
Step-by-step explanation:
1. Original Price = $125, Markup is 40% = .4
2. 125 * .4 = 50
3. 125 + 50 = 175
Yes I suck in math HELP PLEASE
Fill in the blank to describe this expression:
8n
eight______ a number
A. multiplied by
B. added to
C. divided by
D. less than w
Answer:
A. multiplied by
Step-by-step explanation:
For example, sub n = 2
8(2) = 16
Hello.
The correct word is "multiplied by"
Eight multiplied by a number n equals 8n.
Remember that
[tex]\bigstar[/tex] We always write the number next to the variable.
[tex]\bigstar[/tex] We write the number and the variable together.
Can we write 8×n? Sure! However, we usually write it as
8n
Therefore, the correct answer is "[tex]\mathrm{multiplied\:by}[/tex]"
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
Help plss it's due today??...!
Answer:
The answer is 80°
Step-by-step explanation:
Given;We are given a hexagon with 6 anglesTo Find;The value of xHere, we know that the sum of all interior angles of hexagon is equal to 720°
So,
x + x + 140 + 140 + 140 + 140 = 720
2x + 560 = 720
2x + 560 – 560 = 720 – 560
2x = 160
2x/2 = 160/2
x = 80°
Thus, The value of x is 80°
For Verification
x + x + 140 + 140 + 140 + 140 = 720
80 + 80 + 140 + 140 + 140 + 140 = 720
720 = 720
L.H.S = R.H.S
Hence Verified!
-TheUnknownScientist 72
Write a real word situation that would require an exact answer
Answer:
Julie has 5 bunnies. She looses 2. How many bunnies does she have now?
Answer: 3 bunnies left
RIP BUNNIES!!
If you wanted a harder one, then please, be more specific.
Can someone help me with this please?
Answer: See below
Step-by-step explanation:
[tex]\begin{bmatrix}y=x^2-20x+73\\ y=-3x+3\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:the\:equations:}[/tex]
[tex]y=x^2-20x+73[/tex]
[tex]-[/tex]
[tex]\underline{y=-3x+3}[/tex]
[tex]y-y=x^2-20x+73-\left(-3x+3\right)[/tex]
[tex]\mathrm{Simplify:}[/tex]
[tex]0=x^2-17x+70[/tex]
[tex]x^2-17x+70=0[/tex]
[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}[/tex] [tex]\mathrm{for\:}\ a=1,\:b=-17,\:c=70:[/tex]
[tex]x_{1,\:2}=\frac{-\left(-17\right)\pm \sqrt{\left(-17\right)^2-4\cdot \:1\cdot \:70}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-17\right)\pm \:3}{2\cdot \:1}[/tex]
[tex]\mathrm{Separate\:the\:solutions:}[/tex]
[tex]x_1=\frac{-\left(-17\right)+3}{2\cdot \:1},\:x_2=\frac{-\left(-17\right)-3}{2\cdot \:1}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=10,\:x=7[/tex]
[tex]\mathrm{Plug\:the\:solutions\:}x=10,\:x=7\mathrm{\:into\:}y=x^2-20x+73:[/tex]
[tex]\mathrm{For\:}y=x^2-20x+73\mathrm{,\:subsitute\:}x\mathrm{\:with\:}10[/tex]
[tex]y=10^2-20\cdot \:10+73[/tex]
[tex]y=10^2-200+73[/tex]
[tex]y=100-127[/tex]
[tex]y=-27[/tex]
[tex]\mathrm{For\:}y=x^2-20x+73\mathrm{,\:subsitute\:}x\mathrm{\:with\:}7[/tex]
[tex]y=7^2-20\cdot \:7+73[/tex]
[tex]y=7^2-140+73[/tex]
[tex]y=49-67[/tex]
[tex]y=-18[/tex]
[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2-20x+73,\:y=-3x+3\mathrm{\:are\:}:[/tex]
[tex]\begin{pmatrix}x=10,\:&y=-27\\ x=7,\:&y=-18\end{pmatrix}[/tex]
Answer:
bbbbb
Step-by-step explanation:
MARKING BRAILIEST!!!! Select the statement that describes this expression: 13 + fraction 1 over 2 x (6 ÷ 2 + 6)
a: 13 more than half of 6 more than the quotient of 6 and 2
b:13 more than half of the quotient of 6 and 6 minus 2
c:Half of 13 multiplied by the quotient of 6 and 2 plus 3
d:13 plus half of 6 divided by 2, then subtract 6
Answer: D
You get the same answer from doing both!
Answer:
a
Step-by-step explanation:
Which is not a way to find 9/16
Answer:
a way to not find the answer is to do anything but divide 9 by 16
Step-by-step explanation:
hope this helps, brainliest appreciated :)
only 15 left just tell me when you cant help no more
Multiply (polynomials)
I WILL GIVE BRAINLIEST, NEED IT TODAY
Answer:
1. 12x² - 7x - 10
2. 10x² + 31x - 14
3. 3x² - xy - 9x + 4y - 12
4. 16y^4 - 1
5. 24x² - 21x - 3
6. -2m² - 2m + 12
7. 15d² - 31d - 12
8. 12x³ + 5x² - 2x
9. 6t² - 20t - 26
10. 48a² - 12b²
Step-by-step explanation:
1.
[tex](3x)(4x)+(3x)(-5)+(2)(4x)+(2)(-5)[/tex] [tex]12x^2-15x+8x-10[/tex] [tex]12x^2-7x-10[/tex]2.
[tex](5x)(2x)+(-2)(2x)+(5x)(7)+(-2)(7)[/tex] [tex]10x^2-4x+35x-14[/tex] [tex]10x^2+31x-14[/tex]3.
[tex](x)(3x) + (x)(-y) + (x)(3) + (-4)(3x) + (-4)(-y) + (-4)(3)[/tex] [tex]3x^2-xy+3x-12x+4y-12[/tex] [tex]3x^2-xy-9x+4y-12[/tex]4.
[tex]((2y-1)(2y+1))(4y^2)+((2y-1)(2y+1))(1)[/tex] [tex]16y^4-4y^2 + 4y^2 -1[/tex] [tex]16y^4 - 1[/tex]5.
[tex](3x)(8x)+(3x)(1)+(-3)(8x)+(-3)(1)[/tex] [tex]24x^2+3x-24x-3[/tex] [tex]24x^3-21x-3[/tex]6.
[tex](-m)(2m)+(-m)(-4)+(-3)(2m)+(-3)(-4)[/tex] [tex]-2m^2+4m-6m+12[/tex][tex]-2m^2-2m+12[/tex]7.
[tex](5d)(3d)+(5d)(1)+(-12)(3d)+(-12)(1)[/tex] [tex]15d^2 + 5d - 36d -12[/tex] [tex]15d^2-31d -12[/tex]8.
[tex](3x^2)(4x)+(3x^2)(-1)+(2x)(4x)+(2x)(-1)[/tex] [tex]12x^3-3x^2+8x^2-2x[/tex] [tex]12x^3+5x^2-2x[/tex]9.
[tex](3t)(2t)+(3t)(2)+(-13)(2t)+(-13)(2)[/tex] [tex]6t^2 + 6t - 26t -26[/tex] [tex]6t^2-20t-26[/tex]10.
[tex](4a)(12a)+(4a)(6b)+(-2b)(12a)+(-2b)(6b)[/tex] [tex]48a^2+24ab-24ab-12b^2[/tex][tex]48a^2-12b^2[/tex]Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)
Please help! I will give brainliest.
Step-by-step explanation:
= a_(n-1) x 1.5
1.5a_(n-1)
Select the correct answer. The perimeter of a triangle is 30 units. If it’s is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle?
Answer: 15
Step-by-step explanation:
We know that the scale factor of the dilation is the ratio of similtude, and that the ratio of similitude is equal to the ratio of the perimeters. So, the new perimeter is 30(0.5)=15.
Javier got a new job recently and wonders how many outfit
combinations he can wear to work. The table below shows all of
his items of clothing.
Pants
Shirts
Socks
Ties
Black
White
Black
Blue
Grey
Blue
Brown
Red
Yellow
Grey
Black
Grey
How many different outfits can Javier create for work?
O 72
O 12
O 4
O 16
Please y’all got to answer this please?
Answer:
4 maybe??...
Step-by-step explanation:
I really dunno P-P
Why do some of the questions I type. Don't pop up any answers?
Answer:
how am i supposed to know
Step-by-step explanation: