The following system of equations is graphed below.
y=-2x -9
y=2/3x +13/3
Find the solution to the system.
A. x = 1, y = -5
B. x = -5, y = 1
C. x = -5, y = 2
D. x = -4, y = 1

Answer:

120

Step-by-step explanation:

let r be the rate for the slower, 84 miles, portion of the trip

let t1 be the time for the 120 miles portion of the trip and t2 for the 84 miles portion

:

1) t1 + t2 = 3

2) (r+9)*t1 = 120 and r*t2 = 84

3) (r+9)*t1 + r*t2 = 120 + 84 = 204

:

expand the left side of equation 3

:

r*t1 + 9*t1 + r*t2 = 204

r*(t1+t2) +9*t1 = 204

:

substitute for (t1+t2) by using equation 1)

:

3*r + 9*t1 = 204

:

divide both sides of = by 3

:

4) r + 3*t1 = 68

:

use the equation for t1 from the equations defined at 2)

:

t1 = 120 / (r+9)

:

substitute for t1 in equation 4)

:

r + 3*(120/(r+9)) = 68

:

r^2 +9r +360 = 68 * (r+9)

:

r^2 -59r -252 = 0

:

(r-63)*(r+4) = 0

:

r = 63 and r = -4

:

we reject the negative value for r

:

***************************************************************************

Joe and Nancy drove 63+9 = 72 miles per hour for the first 120 miles of the​ trip

Answer:

dot plot a visual display in which each piece of data is represented by a dot above a number line.

Step-by-step explanation:

Answer:

I believe it's C

Step-by-step explanation:

[tex]\\ \sf\longmapsto Area=30x^2-53x+12[/tex]

[tex]\\ \sf\longmapsto Area=30(3)^2-53(3)+12[/tex]

[tex]\\ \sf\longmapsto Area=30(9)-159+12[/tex]

[tex]\\ \sf\longmapsto Area=270-159+12[/tex]

[tex]\\ \sf\longmapsto Area=111+12[/tex]

[tex]\\ \sf\longmapsto Area=123[/tex]

And

[tex]\\ \sf\longmapsto Base=4x-6[/tex]

[tex]\\ \sf\longmapsto Base=4(3)-6[/tex]

[tex]\\ \sf\longmapsto Base=12-6=6[/tex]

Now

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}6h=123[/tex]

[tex]\\ \sf\longmapsto 3h=123[/tex]

[tex]\\ \sf\longmapsto h=\dfrac{123}{3}[/tex]

[tex]\\ \sf\longmapsto h=41[/tex]

Answer:

Step-by-step explanation:

he bout 6 red rose

Step-by-step explanation:

6

Eli bought 6 roses as 2/3 ×9=2×3 =6th

Answer:

y = -3/2x + 13

Step-by-step explanation:

(6,4) and (2,10)

Slope:

m=(y2-y1)/(x2-x1)

m=(10-4)/(2-6)

m=6/(-4)

m =  -3/2

Point-slope intercept:

y - y1 = m(x - x1)

y - 4 = -3/2(x - 6)

y - 4 = -3/2x + 9

y = -3/2x + 13

Answer:

7.99

Step-by-step explanation:

x^2 +3x

Let x=1.7

(1.7)^2 +3(1.7)

2.89+5.1

7.99

Answer: I would say option A but i am not sure

Explanation: I never to the test

Answer:

x1

Step-by-step explanation:

Answer:

thousandths

Step-by-step explanation:

Answer:

15 cm

Step-by-step explanation:

You need to remember 2 theorems about a rhombus.

1.  The diagonals of a rhombus bisect each other

2.  The diagonals of a rhombus are perpendicular to each other

In other words, the diagonals of a rhombus are perpendicular bisectors.

BE = 9 and AE = 12

ΔAEB is a right triangle.  So, the Pythagorean theorem says

[tex]9^{2} + 12^{2} = AB^{2}[/tex]

[tex]AB^{2}[/tex] = 81 + 144

       = 225

AB = [tex]\sqrt{225} = 15[/tex] cm

Answer:

u 2

and stay positive :)

Step-by-step explanation:

Hello! I do not know if you meant to put up a question, but I also hope that you have an amazing day! :)

Answer:

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.

Step-by-step explanation:

Answer:

.4

Step-by-step explanation:

y=2x

y=2(.2)

y=.4

there is your answer

Answer:

1.518 radians is the answer.

Step-by-step explanation:

Degree to radian conversion = 1° × [tex]\frac{\pi }{180}[/tex]

87° × [tex]\frac{\pi }{180}[/tex]

1.518 radians

Answer:

$3792.69

Step-by-step explanation:

First, we would find the area,

Area = width x length

Area = 9 x 11

Area = 99[tex]m^{2}[/tex]

Since each square meter costs $38.31, we would multiply the cost with the area,

Total Cost = 99 x 38.31

Total Cost = $3792.69

(Anyone can correct me if I'm wrong)

Answer:

72.37%

Step-by-step explanation:

Calculation for what The sensitivity of the physical examination was

Using this formula

Sensitivity=Positive physical examination cases/Physical examination screening for breast cancer

Let plug in the formula

Sensitivity=5,500 cases / 7600 women

Sensitivity=0.7237*100

Sensitivity=72.37%

Therefore The sensitivity of the physical examination was 72.37%

Answer:

72.37% is the answer for this

Answer:

814.15 ft long

Step-by-step explanation:

We use the sine of 32.8 degrees to find the hypotenuse which is the length of the highway:

sine = opp/hyp

sin32.8=800/x (evaluate sin and multiply by x)

0.9826178774x = 800 (divide)

x=814.15 ft long

answer =814.15

explanation= we'll firstly need to find the hypotenuse by using the 32.8 degrees

•°• Sin 32.8=800/?

then, 0,9826178874=800

then we divide as the answer will be 814.15

Answer: d=18.2

Step-by-step explanation: d=2r=2·9.1=18.2

Answer:

10s

Step-by-step explanation:

The product of s and 10

In mathematic, when the word "product" is used, it means multiplication.

10 × s ---> 10s *Both of them are the same.*

Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer:

The product of s and 10 = 10s

Step-by-step explanation:

The term “product” determines a multipaction problem.

The variable S is unknown within the value

so with a numerical and a algebraic number, the number comes together

Answer:

B

Step-by-step explanation:

when simplifying base stays the same we only deal with exponent I think I need help too

Answer:

honestly lile wth are you obessed

Answer:

ahem,

Step-by-step explanation:

Dear math, solve your own problems, i have too much of my own. Amen

Answer:

Option 3 Is your answer

Step-by-step explanation:

Brainlist plz

Answer: Domain is [3,∞), The range is All real numbers.

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

72÷9=8

9÷9=1

72/9 = 8/1

Answer:

I only know the first one.

The surface area of the prism is 900 cm2

Step-by-step explanation:

To solve the surface area, we need to find the area of the SURFACE not the inside of the cube. Lets do the rectangles first.

28 x 13 = 364

28 x 5 = 140

28 x 12 = 336

   1 1

   336

+  140

   364

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

  8 4 0

Now lets do the triangles.

Remember! To find the area of a triangle, you have to do Base x Height x 1/2 because it's half a rectangle.

(The triangles have the same area)

12 x 5 x 1/2 = 30

12 x 5 x 1/2 = 30

  30

+ 30

--------

 60

The last step is to add the areas of the triangles and the rectangles.

   1

   840

+    60

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

   900 cm2

The answer is 900cm2

This Is not copy pasted, I actually put in all this effort.

Hope this helps :) And have a wonderful day! :D

Answer:

C.

Step-by-step explanation:

The median is the middle line of the box. 30 is for Town A and 40 is for Town B. 30 is less than 40

Answer:

23.79

Step-by-step explanation:

Answer:

5 × 4 × 2

Step-by-step explanation:

5 gallons

4 quarts per gallon

2 pints per quart