Solve the following system of equations graphically.
y=3x+4
y=-2x-5

Answer:

75081

Step-by-step explanation: multiply 80950 by 0.9275

Answer:

e = 10

Step-by-step explanation:

9e +4= -5e + 14+ 13e

combine like terms on left side of the equation : -5e + 13e = 8e

9e + 4 = 8e + 14

subtract 8e from both sides : 9e - 8e = e and 8e - 8e cancels out

e + 4 = 14

subtract 4 from both sides : 4 - 4 cancels out and 14 - 4 = 10

we're left with e = 10

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The expected value is given by the sum of each outcome multiplied by it's respective probability.

In this problem:

Hence, his expected profit for a single game is:

[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]

For 216 games, the expected value is:

[tex]E = 216(0.2583) = 55.8[/tex]

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at https://brainly.com/question/24855677

Answer:

0.2 seconds

Step-by-step explanation:

The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward.  The maximum value of b(t) occurs at the vertex.  The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.  

Answer:

A) 0.2 seconds

Step-by-step explanation:

[tex]b(t)=-16t^2+5t+15[/tex]

[tex]v(t)=-32t+5[/tex] <-- Take the derivative

[tex]0=-32t+5[/tex] <-- Set equal to 0

[tex]-5=-32t[/tex]

[tex]\frac{5}{32}=t[/tex]

[tex]t=\frac{5}{32}[/tex]

[tex]t\approx0.2[/tex]

Therefore, it will take the ball about 0.2 seconds to reach its maximum height (which happens to be about 15.4 feet BTW).

Alternatively, another non-calculus approach is the fact that the parabola opens downward, and as such, the maximum of [tex]b(t)[/tex] occurs at the vertex where [tex]t=-\frac{b}{2a}[/tex], therefore [tex]t=-\frac{5}{2(-16)}=\frac{-5}{-32}=\frac{5}{32}\approx0.2[/tex]

Answer:

  h(0) = -4

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  h(x) = -3x -4

  h(0) = -3·0 -4 = 0 -4

  h(0) = -4

_____

Additional comment

In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.

Answer:

Step-by-step explanation:

(1). (x - h)² + (y - k)² = r²

where (h, k) are coordinates of a center of the circle with radius r

(2). ( a ± b )² = a² ± 2ab + b²

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

( 1 , - 2 ) ; r = 3

( x - 1 )² + ( y + 2 )² = 3²

x² - 2x + 1 + y² + 4y + 4 = 9

x² + y² - 2x + 4y - 4 = 0

a = - 2

b = 4

c = - 4

Answer:

y-intercept

zero

Step-by-step explanation:

We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.

Answer:

21

Step-by-step explanation:

5(21)-12=93

3(21)+30=93

Answer:

the one about 100 games

Step-by-step explanation:

62 percent *162 =

(62:100)*162 =

(62*162):100 =

10044:100 = 100.44

this rounds to 100

Answer:

About 100 games

Step-by-step explanation:

162 * 0.62 = 100.4

100.4 rounded is 100

Answer: x = 22.7

Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500

Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300

Reduce the fraction:2 x/23 = 105/53

Convert exponential to logarithm form: x/23 = long^2 105/53

Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23

Rewrite the expression: x = 23 long^2 105/53

Round the number: x = 22.7

Answer: x = 22.7

Answer:

27 1/8

Step-by-step explanation:

217/8= 27.125 = 27

217 - (8 x 27) = 1

We've now simplified 217/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

27 1/8

Simplifying our fraction

In this case, our fraction (1/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 8 is 1.

1/1 = 1

8/1 = 8

When we put that together, we can see that our complete answer is:

27 1/8

Answer:

217  4/5

Step-by-step explanation:

Answer:

A = Π R^2 = 3.14 * 6^2 m = 113 m^2   area of entire circle

102/360 = a = area of sector

a = 102/360 * 113 m^2 = 32 .0 m^2

Answer:

x=27

Step-by-step explanation:

Same side exterior angles are supplementary when the lines are parallel

3x-3 + 4x-6 = 180

7x -9 =180

Add 9 to each side

7x-9+9 = 180+9

7x = 189

Divide each side by 7

7x/7 = 189/7

x =27

Step-by-step explanation:

Area of this plot =(84×84) m

2

=7056 m

2

length of rectangular plot =144 m.

We know that the area of the square plot is same as the area of the rectangular plot

Let breadth of rectangular plot be x.

then, 144x=7056 [∵ Area of a rectangle =l×b ]

⟹x=

144

7056

=49 m

∴ The width of rectangular plot is 49 m.

Answer:

5/3 or 1 2/3

Step-by-step explanation:

when you multiply fractions, you must 'multiply by the reciprocal'

you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa

5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6

always reduced to lowest terms when you can . . .

10/6 equals 5/3

Answer:

1.6667 as a decimal

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

Answer:

121 days to hike the length of the trail.

Step-by-step explanation:

Divide 2175 miles by 18 miles/day.  The unit 'miles' will cancel out, leaving with us the unit 'days.'

 2175 miles

------------------- = 121 days

  18 mi/day

Answer:

Happy

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

cut the price in half because the amount of items was reduced by half

Answer:

three dollars

Step-by-step explanation:

$6 for 4

$x for 2

6=4

x=2

cross multiply

2×6=4×x

12=4x

Divide through by 4

x= 3

Answer:

I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5

Answer:

hi there the answer is 72

Step-by-step explanation:

sorry but my work is on a piece of paper in front of me

To map the regular pentagon onto itself, rotate it at angles of 72, 144, 216, and 288 degrees.

A polygon is a geometric form with a limited number of sides that exists in two dimensions. On the sides or edges of polygons, single-direction segments are joined end to end to form a closed shape. Vertices or corners are the points at which two line segments converge to form an angle.

It is given that:

There are five sides to the pentagon.

We are known that the typical pentagon has five vertices and interior angles of 72 degrees each. Rotational symmetry is also present in a regular pentagon.

Angles are 72°,144°,216°, and 288°

Thus, to map the regular pentagon onto itself, rotate it at angles of 72, 144, 216, and 288 degrees.

Learn more about the regular polygon here:

brainly.com/question/11810316

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Answer:

Y = 10/7X + 4

Y intercept = 4

Slope = 10/7

X intercept = -40/7

Step-by-step explanation:

Incase you are asked the equation of the line

The slope intercept equation is as follows -

(1)....Y = mx + b

where m - Slope

b - Y - intercept

the standard formula of slope which is commonly referred to as "the rate of change" is -

(2) .....m= Y2 - Y1 / X2 - X1

in this case you can refer to the final and initial X and Y values directly from the small points on the line.

and so(3)..... - X1 = -6 X2 = 6

- Y2 = 9 Y1 = -1

the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.

thus, X = 0 & Y = 4 ( 0 , 4 )

now lets substitute our values(3) into the slope formula (equation 2)

m = 9 - - 1 / 6 - - 1 = 10/7

now that we found the line's slope, let's simply plug the y intercept

into the slope intercept formula (1)

Y = 10/7X + 4

Answer:

Step-by-step explanation:

The perimeter is multiplied by the scale factor:

  image perimeter = 3 × original perimeter = 3×12 = 36 units

The area is multiplied by the square of the scale factor:

  image area = 3² × original area = 9×6 = 54 square units

Answer:

5 7/20 as a decimal is 5.35

Hope that helps. x

Answer:

Step-by-step explanation:

If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35

Answer:

C (5,4)

Step-by-step explanation:

(x,y)

fist number in the ordered pair is the X value

Second number in the ordered pair is the Y value

A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis

B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis

C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)

After doing all of these we see that C does not end up on the line

Answer:

yes

Step-by-step explanation:

because df is -2/3 and ac is -6/9 which is the same as -2/3