Choose the x- and y- intercepts for the graph of –3x + 6y = –30.

Answer:

540 Mies per hour

Step-by-step explanation:

add 600 and 480 then divide by 2

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

[tex]average speed=\frac{a+b}{2}[/tex]

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]

Alyssa's average speed on the round trip is 540mph.

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The function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is a rational function

The simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is [tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

The function expression is given as:

f(x) =x - 4/x^2 + 13x + 36

Rewrite properly as:

[tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex]

Expand the denominator

[tex]f(x) =\frac{x - 4}{x^2 + 4x + 9x + 36}[/tex]

Factorize the denominator

[tex]f(x) =\frac{x - 4}{x(x + 4) + 9(x + 4)}[/tex]

Factor out x + 9

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Hence, the simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

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Answer: f(x) is increasing for all x > -4

Proof of validity is shown below.

Answer:

The answers are: 35 hot dogs & 52 sodas.

Answer:

The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.

Step-by-step explanation:

4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66

66 ÷ 10 = 6

Answer:

the answer to that question is 14.09

Answer:

See below

Step-by-step explanation:

Remember    S-O-H-C-A-H-T-O-A

   Sin = Opp / Hyp

    Cos = Adjacent  / Hyp

      Tan =Opp / Adj

You didn't say WHICH angle is X  , so you will have to finish this !

Answer:

16.2

Step-by-step explanation:

By geometric mean theorem:

[tex] {9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2[/tex]

Answer:

the answer is c

Step-by-step explanation:

its c i dont know what the words say tho i need to read what it say first.

Answer:

[tex]\displaystyle -7[/tex]

Explanation:

[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

To solve this problem, you have to find the value of x to isolate it on one side of the equation.

First, you divide by -2 from both sides.

-2x/-2=14/-2

Solve.

Divide these numbers from left to right.

14/-2=-7

x=-7

[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]

Linear equations are typically organized in slope-intercept form:

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

To determine a linear equation in slope-intercept form:

We're given:

First, find the slope of the line (m):

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the given points (-1,-4) and (5,-2):

[tex]m=\dfrac{-2-(-4)}{5-(-1)}\\\\m=\dfrac{-2+4}{5+1}\\\\m=\dfrac{2}{6}\\\\m=\dfrac{1}{3}[/tex]

⇒ Therefore, the slope of the line is [tex]\dfrac{1}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\dfrac{1}{3}x+b[/tex]

Now, determine the y-intercept (b):

[tex]y=\dfrac{1}{3}x+b[/tex]

⇒ Plug in one of the points and solve for b:

[tex]-4=\dfrac{1}{3}(-1)+b\\\\-4=-\dfrac{1}{3}+b\\\\-4+\dfrac{1}{3}=b\\\\b=-\dfrac{11}{3}[/tex]

⇒ Therefore, the y-intercept is [tex]-\dfrac{11}{3}[/tex]. Plug this back into our original equation:

[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]

[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]

Answer:

19

Step-by-step explanation:

9+10=19

11+8=19

Hope it Helps

Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)

Width of the new blueprint: 14.4 inches

Answer:

outside the circle

sorry if I'm wrong

Answer: The slope is 1

Step-by-step explanation:

We can see that between the two points it goes up 2 units (rise) and right 2 units (run).

Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer

[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]

Answer:

Step-by-step explanation:

The interest amount per year is

Number of years is

Answer:

2 years

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for t:

⇒ 150 = 2500(0.03)t

⇒ 150 = 75t

⇒ t = 150 ÷ 75

⇒ t = 2

Therefore, it will take 2 years to collect $150 in interest.

Answer:

67

Step-by-step explanation:

Complementary angles add to 90 degrees

<A + <B = 90

x+10  + 3x+28 = 90

Combine like terms

4x+38 =90

Subtract 38 from each side

4x+38-38 = 90-38

4x = 52

Divide by 4

4x/4 = 52/4

x = 13

We want to find <B

<B = 3x+28

   = 3(13) +28

   = 39+28

  =67

Answer:

Question 23) 12 x 6√3 = 72√3

Question 24) 672 cm³

Answer:

52 cm

Step-by-step explanation:

The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.

Answer:

144040.3333

Step-by-step explanation:

275*523 = 143825

19x34/3 = 215.3333333

so add them up to get 144040.3333

Answer:

144040.333333

Step-by-step explanation:

start with parenthesis (275x523)

This would get you, 143825.

Next, you would do, (19x34/3)

That would get you, 215.333333333.

Finally, you would add the two numbers together and get a product of 144040.333333.

Answer:

The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2

The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4

So, the total amount that the friends pay is 5(d-4)

Answer:

I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width to the big square is 60cm. The length to the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area enclosed is the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

Answer:

Equation of straight line is y=Mx+X

or, y-7=-1/5x(x-(-1)

Hence y-7=-1/5x(x-(-1) is the required equation.

Answer:

ok i heres the answer

Step-by-step explanation:

there you go have a nice day

The plane has intercepts

y = z = 0   ⇒   3x = 6   ⇒   x = 2

x = z = 0   ⇒   2y = 6   ⇒   y = 3

x = y = 0   ⇒   z = 6

and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).

Parameterize the portion of the plane (call it P) by the vector function,

[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]

where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.

Compute the normal vector to P :

[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]

Then the flux of F through P is given by the surface integral,

[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]

Answer:

36 km^2

Step-by-step explanation:

We will use the way to find the area of trapezoids which is b+b/2 *h and that is 3+5/2 * 9 so 8/2 is 4 and 4*9=36