Use the substitution method to solve the system of equations

Answer:

Step-by-step explanation:

rt=d

rt+rt=900

80t+100t=900

180t=900

18t=90

2t=10

t=5

5 hours

80*5+100*5=900

Answer:

[tex]D = 0[/tex]

The graph has 1 x-intercept

Step-by-step explanation:

Given

[tex]f(x) = -4x^2 + 12x - 9[/tex]

Required

- Discriminant of f

- Number of x intercepts

Let D represent the discriminant;

D is calculated as thus

[tex]D = b^2 - 4ac[/tex]

Where a, b and c are derived from the following general format;

[tex]f(x) = ax^2 + bx +c[/tex]

By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]

We have

[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]

Solving further;

[tex]a = -4\\b=12\\c=-9[/tex]

So, D can now be calculated;

[tex]D = b^2 - 4ac[/tex] becomes

[tex]D = 12^2 - 4 * -4 * -9[/tex]

[tex]D = 144 - 144[/tex]

[tex]D = 0[/tex]

Hence, the discriminant of f is 0

From the value of the discriminant, we can determine the number of x intercepts of the graph;

When D = 0, then; there exists only one x-intercept and it as calculated as thus

[tex]x = \frac{-b}{2a}[/tex]

Recall that

[tex]a = -4\\b=12\\c=-9[/tex]

So, [tex]x = \frac{-b}{2a}[/tex] becomes

[tex]x = \frac{-12}{2 * -4}[/tex]

[tex]x = \frac{-12}{-8}[/tex]

[tex]x = \frac{12}{8}[/tex]

[tex]x =1.5[/tex]

Answer:

Circle graph

Step-by-step explanation:

common sense

Answer:

Step-by-step explanation:

1)

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

m=(9-0)/(7-4)

m=9/3

m=3

2)

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

m=(4-2)/(6-9)

m=2/(-3)

m=-2/3

3)

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

m=(3-(-1))/4-4)

m=4/0

m=undefined

(vertical line)

Answer:

Correct

Step-by-step explanation:

This report is correct because the most people finished in 4 hours

Answer:

I think you are correct. I hope this helps please tell me if you get it right or wrong.

Step-by-step explanation:

Answer:

i need one more brainliest and i will level up can u gimme brainliest THXXXXXXXXX!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Using the Slope Equation:

Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

How do you calculate rise over run?

Multiply the slope by the run to calculate the rise between subsequent points. In the example, if you wanted to know the rise given a run of 10, multiply 10 times 0.6 to calculate a rise of 6. Divide the rise by the slope to calculate the run.

What does a slope of mean?

The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.

How do I find slope?!

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

I do not know the exact answer to ur question but this was just a help key for you. :) maybe it helped? :)

PLEASE GIVE ME BRAINLIEST! have a great day.

Answer:

5.2083bar

Step-by-step explanation:

Answer:

5.208333333

Step-by-step explanation:

divied 12.5 by 2.4

Answer:

|(-a)²| = | a² | = a²

Step-by-step explanation:

absolute value is always positive number as well as any number squared so sign is positive no matter what

Answer:

£290.70

Step-by-step explanation:

50x5=250

20x2=40

10x7=70

5x3=15

total = 375

375/1.29=290.697

= £290.70

Step-by-step explanation:

$50-5= 50×5

= 250

$20-2=20×2

= 40

$10-7= 10×7

= 70

$5-3= 5×3

15

then,

we add

250 + 40 + 70 + 15 = 379

£1= $1.29

$ = 1/1.29

= 379/1.29

Answer:

D

Step-by-step explanation:

If you draw the shape in D and assemble it you will get the answer

btw please mark brainliest

Answer:

10 hours

Step-by-step explanation:

Let's set up a proportion using the following setup.

hours/laps=hours/laps

We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.

2 hours/12 laps=x hours/60 laps

2/12=x/60

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.

60*2/12=x/60*60

60*2/12=x

10=x

It will take Lebron 10 hours to run 60 laps.

Answer:

you go to the teacher and ask for help

Step-by-step explanation:

get up take paper toteacher and ask

Answer:

C

Step-by-step explanation:

Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.

Answer:

670 cans of fruit

Step-by-step explanation:

sorry if this answer is wrong

Answer:

1/3

Step-by-step explanation:

the total outcomes is 3*4 = 12

the  probability to get two digit numbers 14 or less is :

11 12 13 14  

4/12 = 1/3

Answer:

6m squared

Step-by-step explanation:

cause one of the faces is 2 times 3 and that is 6m squared

Answer:

8 m^2, 12 m^2, or 6 m^2

Step-by-step explanation:

4x2=8 m^2

4x3=12 m^2

2x3=6 m^2

It depends which face you want the area of

Answer:

42.25

Step-by-step explanation:

26.2 miles/ 0.62 miles= 42.25

Answer:

42.25

26.2 miles divided by 0.62 miles= 42.25

Step-by-step explanation:

Answer:

A.  1/12.

Step-by-step explanation:

Orville and Wilbur  ate 1/3 + 1/4

= 4/12 + 3/12

= 7/12 of the pizza.

So there was 1 - 7/12 = 5/12 of the pizza left.

So Ruth ate 5/12 * 1/5

= 5/60

= 1/12.

Answer:

-1(2+x)

Step-by-step explanation:

in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x

Answer:

(-1)·2+(-1)·ₓ = -1 (2+x)

Step-by-step explanation:

distributive property: ab +ac = a(b+c)

in this case a=-1, b =2, c =x so

(-1)·2+(-1)·ₓ = -1 (2+x)

Answer:

20

Step-by-step explanation:

We can use similar triangles

12/3 = x/5

x = 20

Answer:

VS = 20

Step-by-step explanation:

ST/SV = RT/QV

SV = ST×QV/RT

= 12×5/3

= 60/3

= 20

Answer: B -1/2

Step-by-step explanation

Answer:

3 quarts

Step-by-step explanation:

Answer: Reflection

Step-by-step explanation:

After reflection it maps the pre-image to the image.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A transformation of ΔSTV results in ΔUTV.

Now, We can see the image of triangles,

After reflection it maps the pre-image to the image.

Thus, The correct transformation which maps the pre-image to the image is, Reflection.

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ7

Answer:

The number of seats needed is:

Step-by-step explanation:

To identify the number of seats you need add in the theater to accommodate all the people, you can write a simple equation where you subtract from all people need to be seated (15,340), the seats already there are (13,451), how I show below:  

Where:

Replacing the equation with the values:

81 m+27 t

[tex]solution \\ 9(9m + 3t) \\ = 9 \times 9m + 9 \times 3t \\ = 81m + 27t[/tex]

hope it helps..

Good luck on your assignment...

Answer:

4        :5

Step-by-step explanation:

boys : girls

12      : 15

Divide each by 3

12/3    : 15/3

4        :5

Answer:

102.44 feet

Step-by-step explanation:

This kite and its height forms a right triangle. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 130 feet. Therefore:

[tex]\sin 52= \dfrac{x}{130}[/tex]

[tex]x=\sin 52 \times 130\approx 102.44[/tex] feet. Hope this helps!

Answer:

You would figure this out by the method of substitution

Step-by-step explanation:

a= -3/2

b= 5/4

c=7/8

a(b+c) = a(b)+a(c)

Substitute

-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)

-51/16 =-51/16

Answer:

The radius of circle is 162 units

Answer: 360 / 24 = 15

Step-by-step explanation :

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

15 sides

The polygon has 15 sides

360/24=15