What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?

Answer:

- 10 and 12

Step-by-step explanation:

On a typical number line, we have basically two directions that we can move on. Either to the left where the numbers are negative, of to the right where the numbers are positive.

Given that point E has a coordinate of 1 on a number line, and we are told that the distance between E and another point on the number line is 11 (EG), the possible coordinates of point G are two (either we are moving to the right or to the left). Therefore, possible coordinates of G are:

1 - 11 = -10 (to the left)

1 + 11 = 12 (to the right)

Answer:

Greatest = 699,999

Least = 600,900

Step-by-step explanation:

6 digit numbers

9 in the Hundred place

3 fewer hundred thousands than hundred

9 - 3 = 6

Hundred thousand = 600,000

Hence, greatest 6 digit number

Hth__TTh__Th__H__T__U

6____9____9___9__9__9

600,000 + 90,000 + 9,000 + 900 + 90 + 9

= 699,999

Hence, least 6 digit number

Hth__TTh__Th__H__T__U

6____0____0___9__0__0

600,000 + 00000 + 0000 + 900 + 00 + 0

= 600,900

Answer:

the second option 5 2/3

Step-by-step explanation:

since 0.3 with a line over it is equal to 2/3 and 3+2 is 5 our answer would be 5 2/3

Answer:

6

Step-by-step explanation:

Answer:

The answer is 4 whole 2 by 3 (4 2/3).

Step-by-step explanation:

(3/4) x = 3 1/2

3 x / 4 = 7/2

3 x = 14

x = 14/3 = 4 2/3.

Answer:

255

Step-by-step explanation:

170/16 = 10.625

10.625 x 24 = 255

Answer:

38.38 miles per gallon

Step-by-step explanation:

16.3 km/L to miles per gallon

1 mile = 1.609 km

16.3 km = 16.3/1.609 = 10.13 miles

1 gallon = 3.788 L

1 L = 1/3.788 = 0.2639 gallon

therefore,

16.3 km/L = 10.13/0.2639 = 38.38 miles per gallon

Answer:

B

Step-by-step explanation:

B because if it's 1000 then the number will be greater then the fraction.

Answer:

Amount invested in A (8%) = $20,000

Amount invested in B (7%) = $9,000

Step-by-step explanation:

Given:

Total amount invested = $29,000

Interest rate A = 8% = 0.08

Interest rate B = 7% = 0.07

Annual return = $2,230

Find:

Amount invested in each

Computation:

Assume;

Amount invested in A = x

Amount invested in B = 29,000 - x

So,

Interest receive from A = x × 0.08

Interest receive from A = 0.08 x

Interest receive from B = (29000 - x) × 0.07

Interest receive from B = 2,030 - 0.07 x

Annual return = Interest receive from A + Interest receive from B

2,230 = 0.08 x + 2,030 - 0.07 x

x = 20,000

Amount invested in A = $20,000

Amount invested in B = 29,000 - $20,000

Amount invested in B = $9,000

Answer:

Step-by-step explanation:

The function factors as ...

  f(x) = x^4 -22x^3 +121x^2

  f(x) = x^2(x^2 -22x +121)

  f(x) = x^2(x -11)^2

The zeros are x=0 and x=11, each of multiplicity 2.

Because the multiplicity is even, the graph will touch at each zero, not cross.

Answer:

Yes  dog owners in the country spend more time walking their dogs than do dog owners in the city

Step-by-step explanation:

From the question we are told that

    The sample size from country is [tex]n_1 = 21[/tex]

     The  sample  size from city is  [tex]n_2 = 23[/tex]

     The  sample  mean for  country is   [tex]\= x_1 =  15 [/tex]

      The  Sample  mean for  city is  [tex]\= x_2 =  10[/tex]

       The  standard deviation for country  is [tex]\sigma _1 =  4[/tex]

        The standard deviation for  city is  [tex]\sigma _2 =  3[/tex]

Let the level of significance is  [tex]\alpha = 0.05[/tex]

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The  alternative hypothesis is  [tex]H_a : \mu_1 > \mu_2[/tex]

 The  pooled standard deviation is  mathematically represented as

       [tex]s =  \sqrt{ \frac{s_1 ^2  *  (n_1 - 1 ) + s_2 ^2 *  (n_2 - 1 )}{ df} }[/tex]

Here  df is the degree of freedom which is mathematically represented as

          [tex]df =  n_1 + n_2  - 2[/tex]

         [tex]df =  21 + 23 -2 [/tex]

        [tex]df =  42[/tex]

So

    [tex]s =  \sqrt{ \frac{4 ^2  *  (15.0 - 1 ) + 3 ^2 *  (10 - 1 )}{ 42} }[/tex]  

    [tex]s =  3.5[/tex]

Generally the test statistics is mathematically represented

        [tex]t =  \frac{\= x_1 - \= x_2 }{ s *  \sqrt{\frac{1}{n_1} +\frac{1}{n_2}  } }[/tex]

          [tex]t =  \frac{ 15 -10 }{ 3.5 * \sqrt{\frac{1}{ 21 } + \frac{1}{23} } }[/tex]

[tex]t =  4.733[/tex]

Generally the p-value  is obtained from the student t-distribution table   table , the value  is  

         [tex]P(T >   4.733)=  t_{4.733,  42 } = 0.000013  [/tex]

From the calculation we see that

         [tex]p-value  < \alpha[/tex]

So we reject the null hypothesis

Hence we can conclude that there is  sufficient evidence to support the claim that dog owners in the country spend more time walking their dogs than do dog owners in the city

Answer:

$87

The slope is .3

The y-intercept is 42

Step-by-step explanation:

150(.3)=45  

45+42=87

Answer: he gave up so he wasn’t able to do it

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Based on the information given, point j is the midpoint, as it is shared by both line segments. Set the equation:

pb = pj + jb

Note:

pj = 14

jb = 28

Plug in the corresponding numbers to the corresponding variables:

pb = pj + jb

pb = 14 + 28

pb = 42

pb = 42 is your answer.

~

pj=14

jb=28

p=14/j

b=28/j

pb=(14/j)×28/j

pb=392/j²

j²=9.333≅

pb=392/9.333

pb=42.0015≅42

Answer:

x: Colleen

Luis: x+4

x+x+4=52

2x+4=52

2x=48

x=24: Colleen

x+4=28 Luis

Answer:

Hey there!

Think of 45000 being split to 9 pieces.

Each piece would be 5000 dollars.

Thus, the ratio would be 20000 to 25000

Hope this helps :)

One partner will bring $20,000 and the other will bring $25,000.

The total investment is $45,000 and they will contribute by the ratio, 4:5.

First add up the ratio as this will form the denominator:

= 4 + 5

= 9

The amount that the first partner will pay is:

= Proportion / 9 x Total investment

= 4 / 9  x 45,000

= $20,000

The other partner will bring:

= 5 / 9 x 45,000

= $25,000

The partners will therefore bring $20,000 and $45,000

Find out more at https://brainly.com/question/23766289.

Answer: no solution or zero solutions.

Step-by-step explanation:

Given System of equations

2x+2y = 5

3x + 3y = 7

have No solution

Given :

2x+2y = 5

3x + 3y = 7

We write the given equation in y=mx+b form and then we compare the slope 'm'

Solve each equation for y

[tex]2x+2y=5\\2y=-2x+5\\Divide \; by 2\\y=-1x+\frac{5}{2}[/tex]

Slope of first equation is -1

[tex]3x+3y=7\\3y=-3x+7\\Divide \; by \; 3\\y=-1x+\frac{7}{3}[/tex]

Slope of second equation is -1

Slope of both the equations are equal . So the lines are parallel to each other.

Hence , No solution

Learn more :    brainly.com/question/17705616

Step-by-step explanation:

Remember: the origin is at the very center of the graph: (0,0). Not (0,1), (1,0), or 0. The first two options are not at the center. (0,1) takes us one unit above the middle, and (1,0) takes us one unite to the right of the origin. The number 0 is not used to find a point. So, our final answer is: (0,0).

Answer:

x = -25 / 3

Step-by-step explanation:

10 / 3 = x / (-5/2)

10 / 3 * (-5 / 2) = x

x = -50 / 6

x = -25 / 3

Answer:

[tex]x=\frac{-25}{3}[/tex]

Step-by-step explanation:

[tex]\frac{10}{3}=\frac{x}{\frac{-5}{2} } \\\\\frac{-5}{2}*\frac{10}{3}=\frac{x}{\frac{-5}{2} }*\frac{-5}{2} \\\\\frac{-25}{3} =x\\\\x=\frac{-25}{3}[/tex]

Answer:

The  value is  [tex]P(O) = 0.3481[/tex]

Step-by-step explanation:

From the question we are told that

    The  proportion of people that own a dog is  [tex]p = 0.59[/tex]

     The  number of people selected is  n  = 2

Generally the probability that the people selected owns a dog is mathematically represented as

        [tex]P(O) = p^n[/tex]

=>    [tex]P(O) = 0.59^2[/tex]

=>    [tex]P(O) = 0.3481[/tex]

Answer:

12/32, 3/8, or 37.5%

Step-by-step explanation:

Add the candies in the bag together

13+7+12=32

12 out of the thirty-two are orange

12/32

After dividing by 4 to simplify, you get

3/8

3÷8 will give us the decimal which we can then turn into a percentage

37.5%

12/32, 3/8, or 37.5%

Hope this helps :-)

Replace x in the equation with 3

6(3) -8 = 18 -8 = 10

The answer is 10

Answer:

10

Step-by-step explanation:

To find f(3), substitute 3 in the function

f(3) = 6*3 - 8

     = 10

Answer:

[tex]4\frac{3}{8}[/tex] yards of wood

Step-by-step explanation:

The correct question is Hakim is making birdhouses. Each birdhouse uses  7 /8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses?

Answer: Given that the amount of wood need to produce one bird house is 7/8 yard, for 5 birdhouse, the amount of wood needed would be 5 times the number needed for one birdhouse. It is given by:

Amount of wood needed for 5 birdhouse = 5 × amount of wood for 1 birdhouse

Amount of wood needed for 5 birdhouse = 5 × 7/8 yards = 35/8 = [tex]4\frac{3}{8}[/tex] yards of wood

Answer: 3/5

Step-by-step explanation:

concept to know: the slope of perpendicular line is always opposite reciprocal

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

Step 1. Find the slope of line t

 (y2-y1)/(x2-x1)

=(4-9)/(10-7)

=-5/3

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

Step 2. Apply the concept

Opposite reciprocal of (-5/3)=3/5

Hope this helps!! :)

Please let me know if you have any question

Answer:

  k = 1/9

Step-by-step explanation:

In order for the function to be continuous at x=9, the values of the two expressions must be the same at x=9.

The first expression evaluates to ...

  [tex]\dfrac{\sqrt{9}-3}{-9}=-\dfrac{3-3}{9}=0[/tex]

The second expression needs to have the same value:

  [tex]1 -k(9) = 0\\\\1 = 9k\\\\\boxed{k=\dfrac{1}{9}}[/tex]

Answer:

[tex]k=1/9[/tex]

Step-by-step explanation:

A function is continuous at a point if and only if:

[tex]\lim_{x \to n} f(x)=f(n)[/tex]

So, we have the piecewise function:

[tex]f(x) = \left\{ \begin{array}{lI} \frac{\sqrt{x} -3}{-9} & \quad0< x <9 \\ 1-kx & \quad x\geq 9 \end{array} \right.$$[/tex]

And we want to find the value of k such that the function is continuous.

First, find the left hand limit of f(x):

[tex]\lim_{x\to9^-} f(x)[/tex]

Since we're coming from the left, we'll use the first equation. Thus:

[tex]=\lim_{x\to9^-} \frac{\sqrt{x}-3}{-9}[/tex]

Direct substitution:

[tex]=\frac{\sqrt{9}-3}{-9}[/tex]

Simplify:

[tex]=\frac{3-3}{-9}[/tex]

Subtract and divide:

[tex]=\frac{0}{-9}=0[/tex]

So, what this tells us is that for the function to be continuous, the right hand limit as  f(x) approaches 9 from the right must also be equal to 0.

Therefore:

[tex]\lim_{n \to 9^+} 1-kx=0[/tex]

Direct substitution:

[tex]1-9k=0[/tex]

Subtract 1 from both sides:

[tex]-9k=-1[/tex]

Divide both sides by -9:

[tex]k=1/9[/tex]

Therefore, the value of k is 1/9.

So, our equation in the end is:

[tex]f(x) = \left\{ \begin{array}{lI} \frac{\sqrt{x} -3}{-9} & \quad0< x <9 \\ 1-\frac{1}{9}x & \quad x\geq 9 \end{array} \right.$$[/tex]

Step-by-step explanation:

Lunar eclipses can only happen when the Moon is opposite the Sun in the sky, a monthly occurrence we know as a full Moon.

Answer:

(3,-1)

Step-by-step explanation:

(2+4)/2. (5-7)/2

6/2. - 2/2

3,-1

Answer:

the largest square tile is 35cmx35 cm

Step-by-step explanation:

1. Factorize 105 = 5*7*3=35*3

Factorize 280=10*7*4=2*5*7*4=35*8

The common factor is 35.

So Matt can tile 3 tiles 35x35 along the side 105 and 8 tiles along the side 280.

Total 24 pieces 35x35 are necessary to tile the area 105x 280 cm

( However the question is only about the largest tile that Matt could use and not about the quantity of the tiles)

Answer:

Composition of functions is sometimes commutative.

Step-by-step explanation:

Composition of the functions is sometimes commutative.

Under certain circumstances, they can be commutative. However, this is not guaranteed.

Consider, for example, the functions:

[tex]\displaystyle f(x) = x^2 \text{ and } g(x) = x^3[/tex]

Composition of the two functions yields:

[tex]f(g(x))=(x^3)^2=x^6 \\ \\ \text{ and} \\ \\ g(f(x))=(x^2)^3=x^6[/tex]

In this case, the composition is commutative.

Composition of functions is sometimes commutative.

Commutativity refers to the ability to change the order of operations without affecting the result. In terms of functions, it means that the order in which you perform the composition matters.

For example, if we have two functions, f(x) and g(x), the composition of f(g(x)) is not necessarily equal to g(f(x)). In other words, the result of applying one function followed by another is generally different from the result of applying them in the opposite order.

This lack of commutativity is due to the fact that the output of one function becomes the input of the other.

Thus, Composition of functions is sometimes commutative.

Learn more about Commutative Property here:

https://brainly.com/question/28762453

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Answer:

The answer is three halves why proof is in the step by step explanation.

Step-by-step explanation:

Answer:

The answer is

3

_

2

Because y is over x

y

_

x

Step-by-step explanation: