What is the slope of the line

Answer:

C

Step-by-step explanation:

x2+10x=6

x2+10x-6=0

x=-10+-Square root of [10^2-4×(-6)]/2.1

x=-10+-Square root of 124/2

x=-5+square root of 31 and -5-square root of 31

Answer:

h = 4.2

Step-by-step explanation:

The large triangle beginning on the left  has a height of 9. The small triangle has an unknown height of h almost in the middle of the of the base.

You can set up a proportion

9/h = 15/7                 Cross multiply

15h = 9*7                  Combine the right

15h = 63                   Divide both sides by 15

15h/15 = 63/15

h = 4.2      

Answer:

Step-by-step explanation:

Call the movie length m

3/4 m = 1 1/2 hours

3/4 m = 3/2  hours

This is easier to do by decimals

3/4 = 0.75

3/2 = 1.5

0.75 m = 1.5              Divide by 0.75

0.75/0.75 m = 1.5/0.75

m = 2

If it must be done using fractions then this is how it works.

3/4 m = 3/2

[tex]\frac{3*m}{4}=\frac{3}{2}\\m=\frac{\frac{3}{2} }{\frac{3}{4} }[/tex]

[tex]m= \frac{3}{2}*\frac{4}{3}\\\text{The threes cancel out. So does 2 into 4}[/tex]

You get 2 just as you did before.

Answer:

Number of messages Salma sent = 7

Number of messages Brian sent = 16

Number of messages Chang sent = 32

Step-by-step explanation:

Let

Number of messages Salma sent = n

Number of messages Brian sent = n + 9

Number of messages Chang sent = 2(n + 9)

Total messages sent = 55

n + (n + 9) + 2(n + 9) = 55

n + n + 9 + 2n + 18 = 55

4n + 27 = 55

4n = 55 - 27

4n = 28

n = 28/4

n = 7

Number of messages Salma sent = n = 7 messages

Number of messages Brian sent = n + 9 = n + 9 = 16 messages

Number of messages Chang sent = 2(n + 9)

= 2(7 + 9)

= 2(16)

= 32 messages

Answer:

(6,8)

Step-by-step explanation:

Answer:

If you are asking for what x is equal too, then x = 8.70968...

Hope that this helps!

Answer:

[tex]Pr = 0.20[/tex]

Step-by-step explanation:

Given

[tex]n_1 = 10[/tex] ---- 10 sided

[tex]n_2 = 6[/tex] --- 6 sided

Required

[tex]P(x_1,x_2 > 4)[/tex]

First, list out the sample space

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]

[tex](7, 1) (7, 2) (7, 3) (7, 4) (7, 5) (7, 6) (8, 1) (8, 2) (8, 3) (8, 4) (8, 5) (8, 6)[/tex]

[tex](9, 1) (9, 2) (9, 3) (9, 4) (9, 5) (9, 6) (10, 1) (10, 2) (10, 3) (10, 4) (10, 5) (10, 6)\}[/tex]

[tex]n(S) = 60[/tex] --- total outcomes

The event that the outcome of both is greater than 4 is:

[tex]x_1,x_2> 4 = \{(5, 5) (5, 6)(6, 5) (6, 6)(7, 5) (7, 6) (8, 5) (8, 6)(9, 5) (9, 6) (10, 5) (10, 6)\}[/tex]

[tex]n(x_1,x_2>4) = 12[/tex]

So, the probability is:

[tex]Pr = \frac{n(x_1,x_2>4)}{n(S)}[/tex]

[tex]Pr = \frac{12}{60}[/tex]

[tex]Pr = 0.20[/tex]

Answer:

1682.46 cubic feet

Step-by-step explanation:

The formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

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

3.14 × 49 × 11 = 1682.46

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

Have a good day :)

Step-by-step explanation:

The given function is :

[tex]f(x)=x^2-5x+ 5[/tex]

(a) To find f(9), put x = 9 in the above expression.

[tex]f(9)=9^2-5(9)+ 5=41[/tex]

(b) To find f(x+7), put x = x+7 in the above expression.

[tex]f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19[/tex]

(c) To find f(-x), put x = -x in the above expression.

[tex]f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5[/tex]

Hence, this is the required solution.

Answer:

1x

Step-by-step explanation:

the slope goes up one a positive slope of 1

Answer:

0≤y10

Step-by-step explanation:

Given the expresssion;

y = 10 - 0.05x

To get the range, we will first substitute for the value of y by substituting the value x =0

y = 10 - 0.05(0)

y = 10

Hence the required range of values falls between 0 and 10;

0≤y10

Answer:

B.Q1, Q3, maximum

Step-by-step explanation:

The left side of the box is hovering over 65

The left side of the box represents quartile 1

The right side of the box is hovering over 85

The right side of the box represents quartile 3

The whisker at the end of the right side is hovering over 100

The whisker at the very end of the right represents the maximum

Hence, we can conclude that the answer is Q1 Q3 maximum

Answer:

See below.

Step-by-step explanation:

a.

We need degrees C as a function of degrees F.

Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.

We are given two ordered pairs: (32, 0) and (212, 100).

We can find the slope of the line.

m = (100 - 0)/(212 - 32) = 100/180 = 5/9

y = mx + b

C = mF + b

C = (5/9)F + b

Use point (32, 0) for F and C to solve for b.

0 = (5/9)(32) + b

b = -(5/9)(32)

C = (5/9)F - 5/9(32)

C = (5/9)F - 160/9

b.

The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.

c.

The y-intercept is -160/9.

It means that a temperature of 0 degrees F equals -160/9 degrees C.

Answer:

The isosceles triangle has a perimeter of 7.5 m. 2.1 + 2x = 7.5 can be used to find the value of x if the shortest side, y, measures 2.1 m. This answer has been confirmed as correct and helpful

Step-by-step explanation:

Answer:

So.... u forgot to put the question.

Step-by-step explanation:

im not sure what u want but heres this : The isosceles triangle has a perimeter of 7.5 m. if the shortest side, y measures 2.1 m

Answer:

[tex]l =45[/tex] --- length

[tex]w = 55[/tex] --- width

Step-by-step explanation:

Given

[tex]P = 200[/tex] --- perimeter

[tex]A = 2475[/tex] --- area

Required

The dimension of the farm

Let

[tex]l \to length; w \to width[/tex]

So:

[tex]p = 2(l+w)[/tex] --- perimeter

[tex]2(l+w)=200[/tex]

Divide by 2

[tex]l+w=100[/tex]

Make l the subject

[tex]l = 100 - w[/tex]

Also:

[tex]A= l*w[/tex] --- area

[tex]l * w = 2475[/tex]

Substitute: [tex]l = 100 - w[/tex]

[tex](100 - w) * w = 2475[/tex]

Open bracket

[tex]100w - w^2 = 2475[/tex]

Rewrite as:

[tex]w^2 - 100w +2475 = 0[/tex]

[tex]w^2 - 45w - 55w +2475 = 0[/tex]

Factorize

[tex]w(w - 45) - 55(w -45) = 0[/tex]

Factor out w - 45

[tex](w - 55)(w -45) = 0[/tex]

Take any one of the expression and solve for w

[tex]w -55 = 0[/tex]

[tex]w = 55[/tex]

Recall that: [tex]l = 100 - w[/tex]

[tex]l =100 - 55[/tex]

[tex]l =45[/tex]

Answer:

first create an equation for Jeb flower then for Lori

then solve them by simultaneous linear equations

Answer:

One rose = $2.75

One carnations = $1.25

Step-by-step explanation:

Lets make the rose = x

and carnations = y

Jeb >> 6x + 3y = 20.25

Lori >> 8x + 3y = 25.75

Solve simultaneously using elimination method.

8x + 3y = 25.75

- 6x + 3y = 20.25

_______________

2x =5.5

2x/2 = 5.5/2

x = 2.75

plug 2.75(x) into any of the two equations to find y.

6(2.75) + 3y = 20.25

16.5 + 3y = 20.25

3y = 20.25 - 16.5

3y = 3.75

3y/3 = 3.75/3

y = 1.25

Answer:

• Tides are the great rise and fall of sea water caused by the gravity of the moon and the sun.

Gió thổi trên mặt nước trong các đại dương chịu trách nhiệm cho dòng hải lưu. Tuy nhiên, dòng hải lưu trong đại dương không được hình thành bởi gió đơn thuần. Nước gần cực lạnh trong khi nước gần xích đạo ấm. Sự chênh lệch nhiệt độ giữa hai vùng nước này cũng chịu trách nhiệm cho sự hình thành dòng hải lưu. Địa hình đáy đại dương, mưa và thậm chí thủy triều cũng gây ra dòng chảy trong nước.

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

[tex]1.19X10=11.90.[/tex]

You will get 10 songs and have 10 cents left.

Answer:

[tex]g(x) = -|x+3|-1[/tex]

Step-by-step explanation:

1. horizontal reflection - reflection on x-axis: [tex]g(x) = - f(x)[/tex]

        [tex]g(x) = -|x|[/tex]

2. shift left 3: [tex]g(x) = f(x+h)[/tex]

       [tex]g(x) = -|x+3|[/tex]

3. shift down 1: [tex]g(x) = f(x) - k[/tex]

      [tex]g(x) = -|x+3|-1[/tex]

Answer:

4n-10

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

Answers:

There are two possible outcomes

If your teacher wants only positive integers, then go for the second scenario.

=========================================================

Explanation:

x = smaller integer

x+2 = larger integer

We can see that x+2 follows directly after x, so they are consecutive. Also, there's a gap of 2 units between the values. This is due to the phrasing "consecutive even" instead of just "consecutive".

Their product is x(x+2) = x^2+2x

Their sum is x+(x+2) = 2x+2

The product is 36 less than 18 times their sum, which means,

product = 18*(sum) - 36

x^2+2x = 18(2x+2) - 36

x^2+2x = 36x+36-36

x^2+2x = 36x

x^2+2x-36x = 0

x^2-34x = 0

x(x-34) = 0

x = 0 or x-34 = 0

x = 0 or x = 34

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

If x = 0, then x+2 = 0+2 = 2

The product is x*(x+2) = 0*2 = 0

The sum is x+(x+2) = 0+2 = 2

If we multiply the sum by 18, then we get 18*2 = 36. Subtracting off 36 leads to 36-36 = 0

Therefore the equation below

product = 18*(sum) - 36

has been satisfied

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

If x = 34, then x+2 = 34+2 = 36

product = x*(x+2) = 34*36 = 1224

sum = x+(x+2) = 34+36 = 70

then we can see that...

product = 18*(sum) - 36

1224 = 18*(70) - 36

1224 = 1260 - 36

1224 = 1224

So that works as well.

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

There are two possible outcomes

Either the integers are 0 and 2

OR

the integers are 34 and 36

Answer:

.8x = $70.40

x = 70.4/.8

x = $88

Step-by-step explanation:

Answer:

x⁴-x²+6 = 0

= x²(x²-1)+6=0

Answer:

Step-by-step explanation:

To solve mixture problems like this the best way is to make a table. Here's the basic format of the table we will use, calling the first coffee C1 and the second coffee C2:

                 #lbs        x         $/lb         =       Total

C1

C2

Mix

This is the table we will fill in. First, we were given the cost per pound of each type of coffee, so we put that in first:

                #lbs        x         $/lb         =        Total

C1                                        4

C2                                     6.50

Mix

Next, we are told that she wants to make a mix of these coffees so she has a total number of pounds as 150 and that she wants it to cost $4.75 per pound. That goes in next:

                #lbs        x        $/lb        =        Total

C1                                         4

C2                                     6.50

Mix           150         *          4.75

That asterisk is the multiplication sign.

Here's where we are now responsible for filling out the rest of the chart. If she needs to mix these 2 coffees to get a mix that is `150 pounds, she can have x pounds of C1 which means that she has to have 150 - x of C2:

                #lbs       x        $/lb        =         Total

C1                x         *           4

C2         150 - x      *        6.50

Mix           150        *         4.75  

Now all we have left to do is what the table tells us to do, which is to multiply the first 2 columns and put that product under the Total column:

                #lbs        x        $/lb        =        Total

C1                x           *          4           =          4x

C2         150 - x        *       6.50        =     975 - 6.50x

Mix            150         *        4.75        =     712.50

Since we have to add the 2 coffees together to get the pounds of mix in the first column, we also have to add the cost of those coffees together to get the total cost of the mix. The equation looks like this:

4x + 975 - 6.50x = 712.50 and combining like terms:

-2.5x = -262.5 so

x = 105

That means that there is 105 pounds of coffee 1 and 150 - 105 pounds of coffee 2.

C1 = 105 pounds, C2 = 45 pounds

Answer:

The answer woupd be B, 1, 0

The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0) thus option (B) will be correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

As per the given floor plan,

Th coordinate of dairy is the horizontal and vertical distinctions from the reference axes(0,0).

Since it is 1 unit apart in the x and 0 apart in the y direction.

Thus (1,0) is the right coordinate.

Hence "The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0)".

For more about coordinates,

brainly.com/question/7869125

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