How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20 one solution: (–2.5, 0) one solution: (2.5, 0) no solution infinite number of solution

Answer:

100:350                   simplified: [tex]\frac{2}{7}[/tex]

Step-by-step explanation

A ratio of 2:3 means that for every item of A, we can expect of item B. Therefore, our total group is 2+3=5.

Calculate expected number of item A:

[tex]\frac{2x500}{5}[/tex]

Expected number of item A: [tex]\frac{1000}{5}[/tex]

This fraction can be reduced by 5 giving you:

Expected number of item A: 200

Calculate expected number of item B:

[tex]\frac{3x500}{5}[/tex]

Expected number of item B: [tex]\frac{1500}{5}[/tex]

This fraction can be reduced by 5 giving you:

Expected number of item B: 300

I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.

The n-th term of the sequence, starting with n = 1, is then

-6 + 0.5 (n - 1) = 0.5n - 6.5

and we want to find the number N such that

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]

We have

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]

Solve for N :

0.25 N ² - 6.25N + 25 = 0

N ² - 25N + 100 = 0

(N - 20) (N - 5) = 0

N = 20   or   N = 5

Answer:

f^-1 (x)= 2×/×-1 is your answer

Answer:

531

Step-by-step explanation:

2124 = 4% × Y

Y = 2124 × 100/4

Y = 2124 × 100 ÷ 4

Y = 53100

Answer:

What does the question mean can u explain me after that I will help u out in question

Answer:

B. -2t^2 + 3t - +4 is the answer.

Step-by-step explanation:

I don't know the answer try again later

Answer:

The answer is LP and QP, and PL and PQ.

Step-by-step explanation:

Do you want to know from where I got the answer?

I got this answer from an app called Gauthmath where I found the solution for it direct from the tutor, which is right in most cases. You can check the app at Play Store and App Store.

Hope this helps.

Given:

The logarithmic equation is:

[tex]\log_81=0[/tex]

To find:

The exponential equation for the given logarithmic equation.

Solution:

We have,

[tex]\log_81=0[/tex]

It can be rewritten as:

[tex]8^{\log_81}=8^{0}[/tex]

Using [tex]a^{\log_ax}=x[/tex], we get

[tex]1=8^0[/tex]

[tex]8^0=1[/tex]

Therefore, the correct option is C.

Answer:

67

Step-by-step explanation:

we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle

opposite side = 665 - 5 = 660

adjacent side = 280

tan = opposite / adjacent

[tex]tan^{-1}[/tex] (660/280) = 67

Answer:

67

Step-by-step explanation:

I took it on EDG

Answer:

I think it's either C or A

Answer:

The complement is ‘a’

Step-by-step explanation:

Mathematically, when two angles are complementary, or said to be a complement of each other, when added, they equal 90 degrees

So, by subtracting the above from 90 degrees, we have its complement

So, we have this as;

90 - (90-a)

= 90 - 90 + a = a

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, scalene, obtuse, equilateral, isosceles and right angled triangle.

For a right angled triangle, the square of the longest side (hypotenuse) is equal to the sum of the square of the remaining two sides.

For an obtuse triangle, the square of the longest side is greater than the sum of the square of the remaining two sides.

For an acute triangle, the square of the longest side is less than the sum of the square of the remaining two sides.

In triangle JKL:

J² + L² = 3² + 4² = 25

K² = 6² = 36 > 25 (J² + L²)

Hence triangle JKL is an obtuse triangle

In triangle XYZ:

X² + Y² = 4² + 4² = 32

Z² = 5² = 25 < 32 (X² + Y²)

Hence triangle XYZ is an acute triangle.

Answer:

obtuse & acute

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

x = 180° -60°-90° = 30°

Answer:

how do I do another question

Answer:

6 seconds

Step-by-step explanation:

Start by assigning x to value you are trying to find - in this case, the number of seconds until Luigi catches up with Mario.

After x seconds, the distance Luigi has traveled will be the same as the distance Mario has traveled plus 90, since Mario is 90 meters ahead of Luigi.

So our equation is 50x = 35x + 90

Subtracting 35x from both sides: 15x = 90

Dividing both sides by 15: x = 6

So Luigi will catch up with Mario in 6 seconds.

Answer:

5x2 – 168 = -60x + 12

5x*2 – 156 = -60x

-55x*2=156

55x=-78

x=-1.41818181818

also know as 18/7 or 1 4/7

Answer:

[tex](x+6)^{2}[/tex] = 51

Step-by-step explanation:

5x2 – 168 = -60x + 12

5x2  + 60 x – 180 = 0

[tex]x^{2}[/tex]  + 12 x – 15 = 0

[tex]x^{2}[/tex]  + 12 x   = 15

        + 36      + 36

[tex]x^{2}[/tex]  + 12 x  + 36  =  51

[tex](x+6)^{2}[/tex] = 51

[tex]\sqrt{(x+6)^{2} }[/tex] = [tex]\sqrt{51}[/tex]

x + 6 =  [tex]\sqrt{51}[/tex]

x   = -6 ± [tex]\sqrt{51}[/tex]

Answer:

Measure Of Angle K is 82*

Step-by-step explanation:

According To Question, We Have Given

A Quadrilateral JKLM, We Know Sum Of All The Angles Of Quadrilateral Is 360* .

Thus

∠JKL=90*

∠KLM= 180* - 110* = 70* ( Find Diagram In Attachment )

∠MJK=118* (Alternative Opposite Angle)

Now We Have To Find The Value Of ∠LKJ.

∠K = 360* - (∠MJK+∠KLM+JKL)

∠K = 360* - (118* + 70* + 90*)

∠K = 360* - 278*

∠K = 82*

(Diagram, Please Find In Attachment)

Answer:

10.92 inches

Step-by-step explanation:

So Nate grows 1.68 inches a month in this case you have 6 and a half month which is equivalent to 6.5 and so in this case you can multiply.

1.68 inches*6.5 months = 10.92 inches

Answer:

10.92 inches

Step-by-step explanation:

Use a proportion. Set up two ratios equal to each other.

Given ratio:

The ratio of months to inches of growth is

1 month : 1.68 inches or 1/1.68

Now set up a ratio involving the unknown amount.

6 1/2 is the same as 6.5

In 6.5 months, he grows x inches.

6.5 months : x inches, or 6.5/x

Set the ratios equal creating a proportion.

[tex] \dfrac{1}{1.68} = \dfrac{6.5}{x} [/tex]

Cross multiply.

1 * x = 1.68 * 6.5

x = 10.92

Answer: 10.92 inches

Answer:

x = - 16, x = 24

Step-by-step explanation:

Given f(x) = 7 then equate f(x) to 7

0.5 | x - 4 | - 3 = 7 ( add 3 to both sides )

0.5 | x - 4 | = 10 ( divide both sides by 0.5 )

| x - 4 | = 20

The expression inside the absolute value bars can be positive or negative, so

x - 4 = 20 ( add 4 to both sides )

x = 24

OR

- (x - 4) = 20

- x + 4 = 20 ( subtract 4 from both sides )

- x = 16 ( multiply both sides by - 1 )

x = - 16

Answer:

The Answer is B

Step-by-step explanation:

Your Welcome

Answer:

11.1 feet

Step-by-step explanation:

From the solution triangle attached, the required distance is represented as x ; the value of x can be obtained using trigonometry ;

Cosθ = opposite / Adjacent

Cos 20 = 10.5 / x

x * Cos 20 = 10.5

x = 10.5 / cos 20

x = 11.174 feets

Answer:

Step-by-step explanation:

just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]

1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Answer:1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Step-by-step explanation:

Answer:

The domain: All real numbers.

The range: y>0

Step-by-step explanation:

Domain means all possible x values, and by looking at the graph it covers all real numbers.

Range means all possible y values, and since the x axis is a horizontal asyntope, the graph will never touch the x axis, which is why the range is y>0.  

Answer:

point a

Step-by-step explanation:

start from the axis go up 3 to the left one and point a is five units below point g

Answer:

Point B is 5 units from point G.

Step-by-step explanation:

The ordered pair (3,-1) is 4 units down from point D.

And point B is 5 units to the left of point G.

Answer:

[tex]3ft^2[/tex]

Step-by-step explanation:

SA = [tex]6a^{2}[/tex]        

SA = [tex]6(3)^2[/tex]      Solve for the exponent first

SA = 6(9)       Multiply

SA = 54 square feet  

Answer:

5(u - 3)

Step-by-step explanation:

5u - 15

5(u - 3)

Answer:

5 (u - 3)

Step-by-step explanation:

Answer:

(x+1)(2x+5)

Step-by-step explanation:

Answer:

5ff5yvy hh h

Step-by-step explanation:

ctvtvh j h h h j

Answer:

27 and 36

Step-by-step explanation:

x + (x - 9) = 63

2x - 9 = 63

add 9 to both sides

2x = 72

Divide both sides by2

x = 36

x - 9 = 36 - 9

x - 9 = 27