please help me with this

Answer:

x=-44

Step-by-step explanation:

4(4+2x)=7(x-4)

[expanding the brackets]

16+8x=7x-28

[grouping like terms]

8x-7x= -28-16

x= - 44

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Hi my lil bunny!

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[tex]\boxed{x = -44}[/tex]

[tex]4(4+2x)=7(x-4)[/tex]

Solution :

[tex]4(4+2x)=7(x-4)[/tex]

[tex]( 2x + 4 ) = 7 ( x - 4 )[/tex]

[tex]4 . 2x + 4 . 4 = 7x - 7 . 4[/tex]

[tex]8x + 16 = 7x - 28[/tex]

[tex]( 8x + 16) + ( -16 - 7x ) = ( 7x - 28 ) + ( -16 - 7x )[/tex]

[tex]( 8x + 16 ) + ( -7x - 16) = (7x - 28 ) + ( -7x - 16)[/tex]

[tex]8x + 16 - 7x - 16 = 7x - 28 - 7x - 16[/tex]

[tex]8x - 7x + 16 - 16 = 7x - 7x - 28 - 16[/tex]

[tex]x = -44[/tex]

( A: The solution set is (_) Simplified )

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

   1.25 acres

Step-by-step explanation:

If we assume that both the semicolon (;) and the comma (,) mean "of the", then this will be ...

  (1/4)(1/4)(1/2)(1/4)(1/4) of 640 acres = 1.25 acres

Total seats: 52 x 7 + 8 x 12 = 364 + 96 = 460

Total cost for total seats = 460 x 23 = 10,580

Cost for buses: 150 x 7 + 80 x 8 = 1050 + 640 = 1690

Total cost = 10,580 + 1,690 = $12,270

The solution is Option A.

The amount of income left over after paying the federal income tax is given by the equation A = $ 24,490.00

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of income left over be represented as A

Now , the equation will be

The amount of taxable income is $31,850.00

And , the taxable income is in the range $ 8,350 - $ 33,950

So , the fixed tax for the amount is $ 835.00

The percentage of tax is 15 % of the amount over

So , the amount over = $ 8,350

Substituting the values in the equation , we get

The amount over = $31,850.00 - $ 8,350.00

The amount over = $ 23,500.00

Now , 15 % of amount over = 23,500 x ( 15/100 )

15 % of amount over = $ 3,525.00

And , Total tax = 15 % of amount over + fixed tax for the amount

Total tax = $ 3,525.00 + $ 835.00

Total tax = $ 4,360.00

Now , the amount of income left over A = amount of taxable income - Total tax

Amount of income left over A = $31,850.00 - $ 4,360.00

Amount of income left over A = $ 27,490.00

Therefore , the value of A is $ 27,490.00

Hence , the amount left over is $ 27,490.00

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

The given graph shows the relationship between the f(x) and g(x).

Since the problem is to find the points where f(x) becomes equal to g(x) then we will be focusing only to the x-axis and ignore the points of y-axis.

Out of the four choices, the correct answer for the given functions of x will be f(2) = g(2) and f(0) = g(0), f(0) and g(0) is located at the origin. So the points where the curve and line are intersecting is at f(2) and g(2) and the other point is at f(0) and g(0), neglecting the y-axis.

Step-by-step explanation:

Answer: |PQ| =3 units ,  |QR| = 3√5 units,  |RP| = 6 units.

Step-by-step explanation:

Distance between two points (a,b,c) and (x,y,z) is given by :-

[tex]D=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}[/tex]

Given: P(6, 6, 1), Q(4, 4, 2), R(4, 10, 5)

Then,

[tex]|PQ|=\sqrt{(6-4)^2+(6-4)^2+(1-2)^2}=\sqrt{2^2+2^2+(-1)^2}\\\\=\sqrt{4+4+1}=\sqrt{9}=3[/tex]

[tex]|QR|=\sqrt{(4-4)^2+(10-4)^2+(5-2)^2}=\sqrt{0+6^2+3^2}\\\\=\sqrt{36+9}=\sqrt{45}=3\sqrt{5}[/tex]

[tex]|RP|=\sqrt{(6-4)^2+(6-10)^2+(1-5)^2}=\sqrt{2^2+(-4)^2+(-4)^2}\\\\=\sqrt{4+16+16}=\sqrt{36}=6[/tex]

So, |PQ| =3 units ,  |QR| = 3√5 units,  |RP| = 6 units.

Answer:

107

Step-by-step explanation:

Hello, Let's note n the odd number that we are looking for.

If n is odd, n+1 is even but n+2 is odd again and so on and so forth.

So, the 16 consecutive odd numbers are

n, n+2, n+4, ... n+2k, ,,,, ,n+30

It means that the average is:

[tex]\displaystyle \dfrac{1}{16}(n+(n+2)+...+(n+2k)+...+(n+2*15))\\\\=\dfrac{1}{16}\sum_{k=0}^{k=15} {(n+2k)}\\\\=\dfrac{1}{16}\left(n * 16 + 2 \sum_{k=1}^{k=15} {k} \right)\\\\=\dfrac{1}{16}\left(n * 16 + 2 (\dfrac{15*16}{2}) \right)\\[/tex]

And it must be equal to 122, so we can write.

[tex]\dfrac{1}{16}\left(n * 16 + 2 (\dfrac{15*16}{2}) \right)=122\\\\n+15=122\\\\n = 122-15=107[/tex]

Thank you.

Answer:

5

Step-by-step explanation:

6 nickles,3 dimes ,1 quarter +1 nickel, 2 dimes 2 nickles, 1 dime 4 nickles,

Answer:

x=1    x = -1

Step-by-step explanation:

2|5x|= 10

Divide each side by 2

2/2|5x|= 10/2

|5x|= 5

Absolute values have 2 solutions, one positive and one negative

5x = 5      5x = -5

Divide each side by 5

5x/5 = 5/5      5x/5 = -5/5

x = 1                 x = -1

Answer:

Step-by-step explanation:

● 2|5x| = 10

● 2 × |5| ×x = 10

5 is positive so |5| = 5

● 2×5× |x| = 10

● 10×|x| = 10

● |x| = 10

● x = 1 or x = -1

Answer:

Step-by-step explanation:

Hello, do you agree that for any real number a (different from 0)

[tex]\dfrac{a}{a}=1[/tex]

?

5/5 = 1 for instance.

So, when you have the same common factor at the numerator and at the denominator you can eliminate it. For instance.

[tex]\dfrac{10}{4}=\dfrac{5*2}{2*2}=\dfrac{5}{2}\cdot \dfrac{2}{2}=\dfrac{5}{2}[/tex]

You just need to be careful with 0, as dividing by 0 is not allowed.

Hope this helps

Thank you.

Answer:

Step-by-step explanation:

[tex] \mathsf{ \frac{ { - 3}^{5} }{ { - 3}^{6} } }[/tex]

To divide two terms with the same base , the power of divisor is subtracted from the power of the dividend and the same base is taken

⇒[tex] \mathsf{ { - 3}^{5 - 6} }[/tex]

⇒[tex] \mathsf{ { - 3}^{ - 1} }[/tex]

Applying law of negative index

⇒[tex] \frac{1}{3} [/tex]

Hope I helped!

Best regards!!

Work Shown:

The set {A,B,C,1,2} has five items. There are four slots to fill.

So we have 5^4 = 5*5*5*5 = 625 different possible passwords where the characters can be repeated.

625 four-character passwords can be formed.

----------------------------

Each character of the password is independent of previous characters, which means that the fundamental counting principle is used to solve this question.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

----------------------------

Thus, the number of passwords is:

[tex]5 \times 5 \times 5 \times 5 = 5^4 = 625[/tex]

625 four-character passwords can be formed.

A similar question is given at https://brainly.com/question/23855405

Answer: Continuous Data

Quantitative data

Find out more information about the temperature here:

https://brainly.com/question/15267055?referrer=searchResults

Answer:

x = -8/b

Step-by-step explanation:

2bx-bx= -8

bx = -8

Divide by b since b is nonzero

x = -8/b

Answer:

Step-by-step explanation:

3. Formula of a Cylinder + Formula of a Cone = Total

V=πr^2h + V=πr^2h

/3 = total

V = 3.14 * 36 * 10 + V = 3.14 * 36 * 10/3

V = 1,130.4 + V = 376.8 = Total

4. Formula of Cone + Formula of Cone = Total

V=πr^2h

/3 + V=πr^2h

/3 = Total

V = 3.14 * 36 * 8/3 + V = 3.14 * 100 * 8 = Total

V = 301.44 + 2,512 = Total

5. Formula of a cylinder + formula of a sphere = Total

V=πr^2h + V=4

/3πr^3 = Total

V = 3.14 * 4 * 5 + V = 4/3 * 3.14 * 8

V = 62.8 + V = 33.493 = Total

DEFINITELY hope this helped,

Kavitha

Answer:

4

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

So

4(x-1) = x +8

4x-4=x+8

3x=12

x=4

Same result obtained when comparing the other pairs of equations.

Answer: Option B -- 72°

Step-by-step explanation:

If a town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Using Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. The measure of the angle between Elm Street and Pine Avenue is 72°

Answer:

b

Step-by-step explanation:

Answer:

It's 16, i did the unit test already.

Step-by-step explanation:

Answer:

yhat=1.36+0.74x

when x=7 then yhat=6.54

Step-by-step explanation:

Th regression equation is

yhat=a+bx

where slope b is

[tex]b=\frac{nsumxy-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]

and intercept a is

a=ybar-bxbar

x   4   5   2   6    9

y   4   6   2   7    7

xy 16 30  4  42  63

x² 16 25  4  36  81

n=5.

sumx=26.

sumy=26.

sumx²=162.

sumxy=155.

[tex]b=\frac{5*155-(26)(26)}{5*162-(26)^{2} }[/tex]

[tex]b=\frac{99}{134 }[/tex]

b=0.7388

b=0.74 (rounded to 2 decimal places)

xbar=sumx/n=26/5=5.2

ybar=sumy/n=26/5=5.2

a=ybar-b*xbar

a=5.2-0.7388*5.2

a=5.2-3.8418

a=1.3582

a=1.36 (rounded to 2 decimal places)

Thus, the required regression equation is

yhat=1.36+0.74x

When x is 7 this gives yhat

yhat=1.36+0.74*7

yhat=1.36+5.18

yhat=6.54

Answer:

n = -8

Step-by-step explanation:

-0n - 2n = 16

- 2n = 16

n = 16/-2

n = -8

Answer:

you look at the third decimal place which will affect the second decimal place.

in this case: 2 affects 4 -- leaves it as 4

so the number rounded to two decimal places is 7.14

Answer:

Step-by-step explanation:

[tex]Amount=P(1+r)^t\\=4800(1+0.1)^{\frac{3}{2}}\\=4800(1.1)^{\frac{3}{2}}\\\approx 5537.72 ~Rs[/tex]

Answer:

definite integral I = 0.001591  to six decimal places

Step-by-step explanation:

The definite integral is given as:

[tex]\int ^{0.1}_{0} \ x \ arctan (5x) \ dx[/tex]

For arctanx , the power series is in the order [tex]x - \dfrac{x^3}{3}+ \dfrac{x^5}{5}-\dfrac{x^7}{7}+...[/tex]

[tex]arc tan \ x = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ x ^{2n+1}}{2n +1}[/tex]

The next step is to substitute the value of 5x for x in the above equation;

So,

[tex]arc tan \ (5x) = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ (5x) ^{2n+1}}{2n +1}[/tex]

To  multiply both sides by (x); we have

[tex]x\ arc tan \ (5x) = x \ \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5 ^{2n+1} \times x^{2n+1}}{2n +1}[/tex]

[tex]x\ arc tan \ (5x) = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5 ^{2n+1} \times x^{2n+2}}{2n +1}[/tex]

Taking the integral on both sides with respect to x;

[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5^{2n +1}}{2n+1} \ \int ^{0.1}_0 x^{2n+2} \ dx[/tex]

[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5^{2n +1}}{2n+1} \ [(0.1)^{2n+3}][/tex]

[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5^{2n +1} \times (0.1)^{2n+3} }{(2n+1)(2n+3)}[/tex]

[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = [\dfrac{5 \times (0.1)^3}{1.3}-\dfrac{5^3(0.1)^3}{3.5}+\dfrac{5^5(0.1)^7}{5.7}-\dfrac{5^7(0.1)^9}{7.9}+ ...][/tex]

[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = [\dfrac{1}{600}-\dfrac{1}{1200}+\dfrac{1}{112000}-\dfrac{1}{806400}+ ...][/tex]

[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx =1.591 \times 10^{-3}[/tex]

[tex]\mathbf{\int^{0.1}_{0} \ x \ arctan (5x) \ dx =0.001591}[/tex] to six decimal places

Answer:

72°

Step-by-step explanation:

From the information given:

A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.

We are also told that there is a  Trapezoid EFGH with EH as the Pine avenue and EF as the Elm street.

However, side FG and EH are parallel.

∠G = 108°

From the property of parallel lines :

since FG || EH

Then  ∠G = ∠H  = 108°  (i.e corresponding angle will also be equal)

The required angle between Elm Street and Pine Avenue would be interior angles +  180°  given that  alternate angles are also equal.

The required angle between Elm Street and Pine Avenue = 180° - 108°

The required angle between Elm Street and Pine Avenue = 72°

Answer:

B. 72

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since, DE || AC... (GIVEN)

Therefore, by Basic Proportionality Theorem, we have:

BD/AD = BE/CE

(10-x) / x = 3/2

2(10 - x) = 3x

20 - 2x = 3x

20 = 2x + 3x

20 = 5x

x = 20/5

x = 4

Answer:

A) mea culpa

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Hi!

First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).

For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)

So now we have (1,1). Since they're only asking for the x value, the answer is 1.

Answer:

[1, 1]

Step-by-step explanation:

Translation → [-1, 3] moves down to [-1, 1]

Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

Extended Rotation Rules

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

Then, you perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]

( not my answer cr BasketballEinstein on brainly, i just saw that the same question like this one was already answered FULLY somewhere else )

Answer: y=2x+2

Step-by-step explanation:

slope-intercept form: y=ax+b

----------------------------------------

#1 Find the slope

- Use rise/run to find the slope: 8/4=2

- Use slope formula: (2-(-6))/(0-(-4))=8/4=2

#2 Find the y-intercept

- Given the point (2, 0) it is already the y-intercept which is 2

----------------------------------------

a=2

b=2

y=2x+2

Answer:

5

Step-by-step explanation:

y=mx+b

B is always the y intercept.

Answer:

a. for positive odd integers starting 1 and increaments by 2:

     ( first odd number ) + 2 ∈ S

b. for positive integer powers of 3 :

      3( integer ) ∈ S

c. for integer coefficient of the given polynomial :

      s. t ∈  S     ,      s - t ∈ S      and      s +  t  ∈  S

Step-by-step explanation:

the odd number starts with 1 and increases by two, and the set of that would range from 1 to infinity.