A train travels 120 km in 2 hours. What is its average speed?

Answer:

6x³-x²-51x+40

Step-by-step explanation:

(2x − 5)(3x² + 7x− 8)

vv

6x³ +14x² -16x  -15x² -35x +40

add like terms:

6x³ -x² -51x +40

Answer:

2 feet

Step-by-step explanation:

12 feet in 6 minutes. 12/6=2

Answer:

draw a line trough (2,3) and (0, 2)

Step-by-step explanation:

f(x)=(3/2)x+2

so 3/2 is your slope  and 2 is your y coordinate of y-intercept

pick any point to start for example (0, 0) and go slope=rise/run=3/2 and you will end-up at (2,3)

now you have a point (2,3) and a second the y-intercept (0,2)

draw a line trough those points

Answer:

f(-8) = -18

Step-by-step explanation:

given :

f(x) = 2(x – 3) + 4

to find f(-8), simply substitute x= -8 into the function:

f(x) = 2(x – 3) + 4

f(-8) = 2[(-8) – 3] + 4

= 2[-8 – 3] + 4

= 2[-11] + 4

= -22+4

= -18

Answer:

5.6<x<∞

Step-by-step explanation:

x has to be no less than or equal to 2.8+2.8. So, x>5.6

x is less than∞

Answer:

C) 180

Step-by-step explanation:

I hope this helps

Good luck ;)

The difference between the intercepted arc is 180°

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.

A secant and a tangent meet at a 90° angle outside the circle. Hence:

90° = (1/2) * difference between the intercepted arc

Difference between the intercepted arc = 180°

The difference between the intercepted arc is 180°

Find out more on angle at: https://brainly.com/question/25770607

Answer:

2.31 ×10 ^− 2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

m∠Y = m∠Z = 34

Step-by-step explanation:

m∠Y + m∠Z = 68

68 ÷ 2 = 34

Check:

180 - 68 = 112

112 + 34 + 34 = 180

Answer:

x=5.09 seconds (times at max)

Step-by-step explanation:

The time at which the height of the rocket is maximum is 5.09 seconds and the maximum height is 563.14 feet.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

A rocket is launched from a tower.

The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

The quadratic equation is given below.

[tex]\rm y=-16x^2+163x+148[/tex]

Differentiate the equation with respect to x, then we have

[tex]\rm y' = \dfrac{dy}{dx}=\dfrac{d}{dx}(-16x^2+163x+148)\\\\y' =-32x + 163[/tex]

For y' = 0, then we have

32x = 163

   x = 5.09

Then the maximum value of the rocket will be

[tex]\rm y=-16(5.09)^2+163(5.09)+148\\\\y = - 414.53 + 829.67 + 148\\\\y = 563.14\ ft[/tex]

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

#SPJ2

Answer:

C. y= 7x

Step-by-step explanation:

Answer:

1 13/36

Step-by-step explanation:

i just subtracted 1 3/4 from 3 1/9

Answer:

"The given angle does not have a supplementary angle because supplementary angles add to the sum of 180°. The supplementary angle would then  need to be -3, and negative angles are not allowed based on the definition of supplementary angles."

Step-by-step explanation:

A supplementary angle completes an angle less than 180 degrees by filling in what's left. Ex. 170 and 10 are supplementary angles because they add up to a straight line, 180.

Since 183 is greater than 180, no angle (a negative angle isn't an angle) can complete it.

Given:

Endpoints of a segment are J(−24,−4) and K(−4,6).

To find:

The equation in point-slope form for the perpendicular bisector of JK.

Solution:

Slope of JK is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{6-(-4)}{-4-(-24)}[/tex]

[tex]m=\dfrac{6+4}{-4+24}[/tex]

[tex]m=\dfrac{10}{20}[/tex]

[tex]m=\dfrac{1}{2}[/tex]

Product of slopes of two perpendicular lines is -1. So, product of perpendicular line of JK is -2.

Perpendicular bisector of JK passes through the midpoint of JK.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-24-4}{2},\dfrac{-4+6}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-28}{2},\dfrac{2}{2}\right)[/tex]

[tex]Midpoint=\left(-14,1\right)[/tex]

Point slope form:

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

Perpendicular bisector of JK passes through (-14,1) with slope -2. So, the point slope form of JK is

[tex]y-1=-2(x-(-14))[/tex]

[tex]y-1=-2(x+14)[/tex]

Therefore, the correct option is D.

Answer: B. 16 feet

Step-by-step explanation:

We know that the length is 20 feet longer that the width. If the length of the park is 36 feet, the width is 20 feet less.

36 - 20 = 16 feet

So, the width of the park is 16 feet.

hope this helps!

Answer:

3.452 × 10^8

Step-by-step explanation:

hope this helps :)

Answer: B

Hope you do well!

Answer:

8,750 = 250 + 340x

I believe he is missing the cost of the house

Answer:

the standard form equation is 1/2x^2-x-3/2=0

the vertex form equation is  1/2(x-1)^2-2=0

Step-by-step explanation:

Unfortunately, this can't be written in slope intercept form but I can write it in standard form(ax^2+bx+c) or vertex form (a(x-h)+k)

The vertex is (1,-2)

I estimate a=1/2 because the graph was widened and that can only be done by a fraction.

So, 1/2(x-1)^2-2=0

To find it in standard form

foil (x-1)(x-1)= x^2-2x+1

Then multiply by 1/2(x^2-2x+1)= 1/2x^2-x+1/2-2

To add 1/2-2. You mulitply -2 by 2/2 which equals 1/2-4/2 which equals -3/2

So the standard form equation is 1/2x^2-x-3/2=0

Answer:

$24.

Step-by-step explanation:

I multiplied 4 by 7 to get 28. Then I multiplied $28 by three weeks and got $84. Since $84 is more than I owe I subtracted $84 by $60 and got $24. I would give my friend $60 and keep $24. Hope this helps! Have a great day!

Answer:

you should life make a cake and put frosting words on it that say I'm bi and i'm proud!

You should just sit down with her and talk about it

Answer:

7xy + 2x^2t

Step by step explanation:

You just group the like terms and simplify (pay attention to the signs)

5xy + 2xy = 7xy

-1x^2t + 3x^2t = 2x^2t

So the answer is : 7xy + 2x^2t

Answer:

x = 19 degrees

y = 84 degrees

Step-by-step explanation:

recall that for an isosceles triangle (which is pictured), the base angles have the same value.

In our case, we can see that the base angles are 48 deg and (3x-9) deg

if they are equal, we can equate them like this:

48 = 3x-9    (add 9 to each side)

48 + 9 = 3x

57 = 3x   (divide both sides by 3)

x = 57/3

x = 19 degrees  (answer)

also recall that the sum of the interior angles of a triangle add up to 180 deg, hence

48 deg + 48 deg + y deg = 180 deg

2(48) + y = 180

96 + y = 180

y = 180 - 96

y = 84 deg

Answer:

9 cm

Step-by-step explanation:

Answer:

The coordinates of triangle A"B"C" will become

A( 5,-3  )  B( 9,6 )  C( -12 ,-4 )

Step-by-step explanation:

Original vertices of triangle ABC are ;

A ( -3, 5 ) B( 6, 9 )  C ( -4, -12 )

after reflection over x-axis

A( -3,-5 )   B( 6, -9 )  C( -4,12 )

when the triangle is rotated

x coordinates becomes -y  while y coordinates becomes x

The coordinates of triangle A"B"C" will become

A( 5,-3  )  B( 9,6 )  C( -12 ,-4 )

Answer:

165 and 166

Step-by-step explanation:

You can divide 331 by 2 to get 165.5. You then round down for one answer, 165, and round up for the other, 166. This evens out the rounding, and to check your answer you can add 165 and 166, which is 331.

Answer:

less than or equal to 24

Step-by-step explanation:

this symbol ≤

Answer:

The 17th term number of the arithmetic sequence will be: -97

i.e.

Step-by-step explanation:

Given the arithmetic sequence

[tex]a_n=-6n+5[/tex]

Put [tex]n=17[/tex] in the arithemetic sequence to get the 17th term number

[tex]a_{17}=-6\left(17\right)+5[/tex]

[tex]a_{17}=-6\cdot \:17+5[/tex]

[tex]a_{17}=-102+5[/tex]

[tex]a_{17}=-97[/tex]

Therefore, the 17th term number of the arithmetic sequence will be: -97

i.e.

[tex]a_{17}=-97[/tex]

Answer:

Between steps B and C

Step-by-step explanation:

12 × 5 is 60 not 72

and - × -9y = 9y

the answer should be [tex]\frac{-65}{11}[/tex]

Answer:

Its B or it can be A because there both right