Write an equation (in slope-intercept form) of a line whose slope is 10 and y-intercept is (0,-20)

Answer:

The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution

The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

Hi there! Hopefully this helps!

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0.77 as a fraction is 77/100.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.2904 as a fraction is 2904⁄10000 unsimplified. (Simplified would be 363⁄1250)

Answer:

8a) 0.2904=363/1250

8b) 0.77=77/100

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Spinner = 1 out of 3

Marbles = 2 out of 4

1/3x2/4=2/12=1/6

square root of 5 equals 2.236068. So,, Choice C is the correct option witht he numbers from least to greatest. Hope this helps.

Answer:

80 x 62.5% is 50.

Step-by-step explanation:

Answer:

y=x+-2

Step-by-step explanation:

Slope intercept form is y=mx+b

I plugged in the slope for m and y-intercept for b

sorry i did this real fast because it sounded urgent :)

Answer:

Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the inheritance = $ 6,000

Interest rate of the first part = 4% simple

Interest rate of the second part = 7% simple

Interest of the accounts after the first year = $ 360

2. How much did he invest in each account?

For answering the question, we will use the following equation:

x = Amount invested in the first account

6,000 - x = Amount invested in the second account

0.04x + 0.07 * (6,000 - x) = 360

0.04x + 420 - 0.07x = 360

-0.03x = 360 - 420 (Subtracting 420 at both sides)

-0.03x = -60

x = -60/-0.03

x = 2,000 ⇒ 6,000 - x = 4,000

Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.

Answer:

[tex]g(x) = (x-6)(2x-1)[/tex]

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

[tex]2(x-1/2) = 2x-1[/tex]

Therefore the function;

[tex]g(x) = (x-6)(2x-1)[/tex]

Answer:

b

Step-by-step explanation:

Answer:

5 x 7^0 = 35

or

5 x 7 = 35

Step-by-step explanation:

Plz mark brainliest

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term  a = -15

Common difference [d] = second term - first term

                                  = -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

                = -15 + 34 * 4

                = - 15 + 136

                = 121

Answer:

121 and 257

Step-by-step explanation:

So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].

Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].

Answer:

The value of x = 9 units

Step-by-step explanation:

The complete question is attached to this solution.

The perimeter of a rectangle is given as

P = 2 (L + B)

L = Length of the rectangle = 3x - 1

B = Breadth of the rectangle = 2x + 3

P = Perimeter of the rectangle = 94 units

94 = 2 [(3x - 1) + (2x + 3)]

3x - 1 + 2x + 3 = (94/2) = 47

5x + 2 = 47

5x = 47 - 2 = 45

5x = 45

x = (45/5) = 9 units

Hope this Helps!!!

Answer:

9

Step-by-step explanation:

because the angle is 45 deg, it is 1/8 of the full circle

the arc it intercepts will also be 1/8 the circumference of the full circle

72*1/8=9

Answer:

[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

for any real x different from 1

[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]

if f(x)=2x

   f'(x)=2

if g(x)=-ln(1-x)

   [tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]

So antiderivative of

[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]

Is

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

The graph is missing; however, the question can still be solved

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

[tex]y = mx + b[/tex]

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

[tex]47.84 = 1.55 * 15 + b[/tex]

[tex]47.84 = 23.25 + b[/tex]

Subtract 23.25 from both sides

[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]

[tex]24.59 = b[/tex]

[tex]b = 24.59[/tex]

Solving for the monthly cost for 9 HCF

Here, we have that

[tex]x = Amount\ of\ water = 9[/tex]

[tex]m = Slope = 1.55[/tex]

[tex]b = 24.59[/tex]

Substitute these values in the linear function; [tex]y = mx + b[/tex]

[tex]y = 1.55 * 9 + 24.59[/tex]

[tex]y = 13.95 + 24.59[/tex]

[tex]y = 38.54[/tex]

Hence, the monthly cost for 9 HCF is $38.54

Answer:

Step-by-step explanation:

people in building ---- x

children --- y

men + women + children = x

(3/7)x + (5/8)(4/7)x + y = x

3x/7 + 5x/14 + y = x

times 14

6x + 5x + 14y = 14x

14y = 3x

y + 220 =x

sub into the other one

14y = 3(y+220)

11y = 660

y = 60

then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120

leaving 160 women and children

5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

Answer: 1 & 4

Step-by-step explanation:

Just did it

Answer:

A.The height of the new trapezoid will be 1 ft.

D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.

Step-by-step explanation:

edg2020

Answer:

Andy

Step-by-step explanation:

Let's say that x is Andy's speed, and d is the distance he traveled.

The time it takes Andy to reach his friend is d/x.

The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.

The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).

The total time is d/x + d/(10x) = 1.1 d/x.

It takes Ashley 1.1 times longer to reach the friend.  Andy gets there first.

Answer:

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

Step-by-step explanation:

The solution is,

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

a) ∠D = 90

i.e.  ∠A= 90 - 55 = 35

b)  similarly,

∠CBD = 90-29

          =61

c) m AD is  sin55 = AD/40

i.e.  AD = 32.77

d) m BC is sin 29 = 22.94/BC  

i.e.  BC = 47.32

e)  m CD is tan 29 = 22.94/CD    

   i.e. CD = 41.38

f) m BD is cos 55 = BD/40  

  i.e. BD = 22.94

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer:

a. [tex]-( 4\sqrt{3} + 3)[/tex]

b.  [tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]

c.  [tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]

d. [tex]45 + 12\sqrt{5y} + 4 y[/tex]

e. [tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]

Step-by-step explanation:

a.

[tex]\sqrt{12} - \sqrt{108} - \sqrt[3]{27}[/tex]

Expand each expression

[tex]\sqrt{4*3} - \sqrt{36 * 3} - \sqrt[3]{3*3*3}[/tex]

Split the first two surds

[tex]\sqrt{4}*\sqrt{3} - \sqrt{36} * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]

Apply law of indices

[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3^3}[/tex]

Apply law of indices

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{3*\frac{1}{3}}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{1}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3[/tex]

[tex]2\sqrt{3} - 6\sqrt{3} - 3[/tex]

[tex]- 4\sqrt{3} - 3[/tex]

Factorize

[tex]-( 4\sqrt{3} + 3)[/tex]

The expression cannot be further simplified

b.

[tex](\frac{x^{\frac{-3}{4}}y^{\frac{2}{3}}}{x^{\frac{-1}{3}}y^{\frac{-5}{8}}})[/tex]

Expand the expression

[tex](\frac{x^{\frac{-3}{4}} * y^{\frac{2}{3}}}{x^{\frac{-1}{3}} * y^{\frac{-5}{8}}})[/tex]

Apply the following law of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

[tex]x^{{\frac{-3}{4} - \frac{-1}{3}}} * y^{{\frac{2}{3} - \frac{-5}{8}}}}[/tex]

[tex]x^{{\frac{-3}{4} + \frac{1}{3}}} * y^{{\frac{2}{3} + \frac{5}{8}}}}[/tex]

Add the exponents

[tex]x^{\frac{-9+4}{12}} * y^{{\frac{16+15}{24}}}}[/tex]

[tex]x^{\frac{-5}{12}} * y^{{\frac{31}{24}}}}[/tex]

[tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]

The expression cannot be further simplified

c.

[tex]\frac{8}{\sqrt{x} - \sqrt{5}}[/tex]

Rationalize the denominator

[tex]\frac{8}{\sqrt{x} - \sqrt{5}} * \frac{\sqrt{x} + \sqrt{5}}{\sqrt{x} + \sqrt{5}}[/tex]

[tex]\frac{8(\sqrt{x} + \sqrt{5})}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]

Simplify the numerator

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]

Simplify the denominator by difference of two squares

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{\sqrt{x}^2 - \sqrt{5}^2}[/tex]

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]

The expression cannot be further simplified

d.

[tex](3\sqrt{5} + 2\sqrt{y})^2[/tex]

Expand the expression

[tex](3\sqrt{5} + 2\sqrt{y})(3\sqrt{5} + 2\sqrt{y})[/tex]

Open the bracket

[tex]3\sqrt{5} (3\sqrt{5} + 2\sqrt{y})+ 2\sqrt{y}(3\sqrt{5} + 2\sqrt{y})[/tex]

Open both brackets

[tex]3\sqrt{5} *3\sqrt{5} + 3\sqrt{5}*2\sqrt{y}+ 2\sqrt{y}*3\sqrt{5} + 2\sqrt{y}*2\sqrt{y}[/tex]

[tex](3\sqrt{5} *3\sqrt{5}) + (3\sqrt{5}*2\sqrt{y})+ (2\sqrt{y}*3\sqrt{5}) + (2\sqrt{y}*2\sqrt{y})[/tex]

Multiply each expression in the bracket

[tex](3*3\sqrt{5*5}) + (3*2\sqrt{5*y})+ (2*3\sqrt{5*y}) + (2*2\sqrt{y*y})[/tex]

[tex](9\sqrt{25}) + (6\sqrt{5y})+ (6\sqrt{5y}) + (4\sqrt{y^2})[/tex]

Solve like terms

[tex](9\sqrt{25}) + (12\sqrt{5y}) + (4\sqrt{y^2})[/tex]

Take square root of 25 and y²

[tex](9 * 5) + (12\sqrt{5y}) + (4 * y)[/tex]

[tex](45) + (12\sqrt{5y}) + (4 y)[/tex]

Remove the brackets

[tex]45 + 12\sqrt{5y} + 4 y[/tex]

The expression cannot be further simplified

e.

[tex]-\sqrt{\frac{3}{5x}}[/tex]

This expression can not be simplified; However, it can be rewritten, by applying law of indices as

[tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]

Answer:

(C)1 out of 5,005

Step-by-step explanation:

There are a total of 15 student friends.

Monica wants to invite 6 of her friends.

The number of ways this can be done is:

[tex]^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005[/tex]

Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen

[tex]=\dfrac{1}{5005}[/tex]

Answer:

5/12

Step-by-step explanation:

take the number of students who read under6 books (5) and divide by total amount of students (12)

5/12

Answer:

5/12

Step-by-step explanation:

there are a total of 12 books read and a frequency of 5 books read that is fewer than 6 books

*see the attachment below showing Lewis' work

Answer:

*He simplified √400 incorrectly. It should be 20 instead of 200.

*He found the difference between the hypotenuse and the short leg instead of the long leg

Step-by-step explanation:

=>Going through the work of Lewis, you'd observe that in the 5th line where Lewis was supposed to simplify √400, he made a mistake by writing 200 instead of 20. The square root of 400 is 20 not 200.

=>Also, the length of the longest leg of the right angled triangle that Lewis is supposed to subtract from the length of the hypothenuse is 16 NOT 12.

The difference between the length of the hypothenuse and the length of the longest Leg = 20 - 16 = 4

Answer: A & B homies...

person up top is correct also...

Step-by-step explanation: on edg 2020

Answer:

-7j-k-1

Step-by-step explanation:

10k + 17 - 7j -18 -11k

10k-11k

-1k

17-18

-1

-7j-k-1

Answer: $20 <= X < = $21

Step-by-step explanation:

According to the question, you are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo, let x represent the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

Answer:

[tex]x=19[/tex]

Step-by-step explanation:

First, note that Angle X and angle Y are angles formed when two parallel lines  are being cut by a transversal. This makes Angle X and Y consecutive interior angles. Consecutive interior angles are supplementary.

Therefore:

[tex](3x-5)+(90+2x)=180[/tex]

[tex]5x-5=90[/tex]

[tex]5x=95[/tex]

[tex]x=19[/tex]

Answer:

  P''(1, 7)

Step-by-step explanation:

4 units right and 1 left will add a net of +3 to the x-coordinate.

2 down and 5 up will add a net of +3 to the y-coordinate.

The coordinates of P with 3 added to each are ...

  P'' = P(-2, 4) +(3, 3) = P''(1, 7)

Answer:

Length of transverse axis  = 2 b  = 10

Length of conjugate axis   = 2 a  = 4      

Step-by-step explanation:

Explanation:-

Given Hyperbola

                       [tex]\frac{(y+2)^{2} }{25} -\frac{(x-3)^{2} }{4} =1[/tex]

  Standard form of Hyperbola    

                  [tex]\frac{(y-(K))^{2} }{b^{2} } -\frac{(x-h)^{2} }{a^{2} } =1[/tex]

   Center (h , k ) = (3 , -2 )  , a = 2 and b = 5

Length of transverse axis  = 2 b = 2(5) = 10

Length of conjugate axis   = 2 a = 2 (2) = 4      

Answer:

Step-by-step explanation:

First, we can figure out how many additional inches of rope are needed.  If there are 8 knots, 16 additional inches will be needed. Peter would need 9 feet 4 inches of rope, or 112 inches.

The formula for finding the length of the rope needed would be 8+2n.

Hope this helps!

Answer:

112 inches

Step-by-step explanation:

Each knot needs 2 inches of rope

There are 2 knots

2*8 = 16 inches

He wants 8 ft from the ground, but he wants it in inches

8 ft* 12 inches per foot = 96 inches for the rope

96+ 16 =112 inches of rope

Answer:f

Step-by-step explanation:

Answer: 31 degrees

Step-by-step explanation:

Answer:

its quite simple...

the formula to find volume= width x height x length ( or area x length)

Step-by-step explanation:

of A

of B

length of whole prism= 4

Volume (A)= w x h x l

                 =  5 x 9 x 4

                = 180 cm³

volume (B)= w x h x l

                = 3 x 2 x 4

                = 24 cm³

add both values to get the volume of whole prism = 180 + 24

                                                                                    = 204 cm³