A picture of Carol's soccer field and its dimensions is shown. Carol ran the boundary of the field three times.
. 120 m-
85 m
How far did Carol run in total?

Answer:

Choice 4

Step-by-step explanation:

#4   because the graph does not intersect the x-axis

The graph that represents a quadratic function with a negative discriminant is graph 4.

The part in the formula of a quadratic equation that helps us to know the nature of the roots of a quadratic equation is known as a discriminant.

D = b2 - 4ac,

Since for the value of the discriminant to be negative, the roots of the quadratic equation should be imaginary. Also, imaginary never intersects the x-axis of the graph.

Now, in the group of the graphs the only graph that does not intersect the x-axis of the graph or have imaginary roots is graph 4.

Hence, the correct option is graph4 (Bottom Right).

Learn more about the Discriminant here:

https://brainly.com/question/15884086

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Answer: a. 5 years

b. 60 yards

c. 41

Step-by-step explanation:

1. Let Lily's age be x.

One of the cousins is 7 years older than Lilly. The age will be = x + 7

The other cousin is 3 years younger than Lilly. The age will be = x - 3

Therefore, (x + 7)(x - 3) = 24

x² - 3x + 7x - 21 = 24

x² + 4x - 21 - 24 = 0

x² + 4x - 45 = 0

x² + 9x - 5x - 45 = 0

(x² + 9x) - (5x - 45) = 0

x(x + 9) - 5(x + 9) = 0

(x - 5)(x + 9) = 0

(x - 5) = 0

x = 0 + 5

x = 5

Therefore, Lily is 5 years

2. Let the width be represented by x

Therefore, length will be x + 40.

Area = length × width

6000 = x(x + 40)

x² + 40x = 6000

x² + 40x - 6000 = 0

x² + 100x - 60x - 6000 = 0

x(x + 100) - 60(x + 100) = 0

(x - 60)(x + 100) = 0

x - 60 = 0

x = 0 + 60 = 60

Therefore, the width is 60 yards

3. Let the consecutive numbers be x and x+1.

Therefore, x(x + 1) = 1640

x² + x = 1640

x² + x - 1640 = 0

x² + 41x - 40x - 1640 = 0

x(x + 41) - 40(x + 41) = 0

(x - 40) = 0

x = 0 + 40

x = 40

Larger number = x + 1 = 40 + 1 = 41

Answer:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

Answer:

43/60

3/10 x 12 = 36/120

5/12 x 10 = 50/120

50/120 + 36/120 = 86/120

Simplified we get 43/60

Given:

The given expression is:

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

It can be written as:

[tex]=\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-3\times 3}{2\times 2\times 2\times 2}\times \dfrac{2\times 7}{5\times 5}[/tex]

[tex]=\dfrac{-2\times 5\times (-3)\times 3\times 2\times 7}{3\times 7\times 2\times 2\times 2\times 2\times 5\times 5}[/tex]

Cancel out the common factors.

[tex]=\dfrac{-(-3)}{2\times 2\times 5}[/tex]

[tex]=\dfrac{3}{20}[/tex]

Therefore, the value of given expression is [tex]\dfrac{3}{20}[/tex].

Answer: -1

Step-by-step explanation: ANSWER : -1

f(x)=3x−1=y

⇒x=3y+1​

∴f−1(y)=3y+1​

⇒f−1(x)=3x+1​

g(x)=5x+6=z

⇒x=5z−6​

g−1(z)=5z−6​

⇒g−1(x)=5x−6​

g−1(f−1(x))=g−1(3x+1​)

=53x+1​−6​

=15x−17​

∴g−1(f−1(2))=

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since we are working with tenths all we have to do is add the numerators of each fraction.

4 + 3 + 1 + 1 = 9

9/10

Answer:

Circumfrence: 40.21

Radius: 6.4

Step-by-step explanation:

For radius, you only have to divide the diameter (in this case 12.8) by 2 which gives us 6.4

For Circumference, plug in the radius in the formula C=2π(6.4), and that gives us 40.21

Answer:

9.5 feet

Step-by-step explanation:

We use Pythagorean thm:

a² + b² = c²

Given:

b = 3

c = 10

Work:

a² + b² = c²

a² + 3² = 10²

a² + 9 = 100

a² = 91

[tex]\sqrt{a^2} =\sqrt{91}[/tex]

a = 9.5

Answer:

$8.87

Step-by-step explanation:

Add the cost of the shirt and the skirt, 18.45 + 22.68 = 41.13

50-41.13 = $8.87

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4

formula for percentage error is (actual value /absolute error)

X+y/2

9.6+3.60/2 = 11.4,,

9514 1404 393

Answer:

  4.2 km

Step-by-step explanation:

The altitude of the triangle can be found using the triangle area formula:

  A = 1/2bh

  22.7 km² = 1/2(10.8 km)h

  h = (22.7 km²)/(5.4 km) ≈ 4.2037... km

The missing measurement is about 4.2 km.

Answer:

B is a statistical question

Step-by-step explanation:

A and C ask for qualitative data or categorical data

B asks for quantitative data or numerical data

We obviously use numerical data for statistical work, so B is the answer

Answer:

X= -243

Used Math.way

Answer:

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Step-by-step explanation:

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

length of a living room = 12ft

width = 10 1/2 ft

The length of the living room is being expanded by X feet

New length of a living room = 12ft + x feet

new area of the living room = length × width

= 12ft + x feet × 10 1/2 ft

= (12 + x) 10 1/2

Note: 10 1/2 is equivalent to 10.5

= (12 + x) 10.5

= (126 + 10.5x) square feet

Options that applies

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Answer:

216in^2

Step-by-step explanation:

6*6*6=216

side length is 6

6^2=36

36*6=216

Answer:

4y4+y is 4x-3x4+-3 so the answer is -51

Step-by-step explanation:

4 times -3 is -12

-12 times 4 is -48

-48 plus -3 is -51

hope this is right lm.ao

Answer:

4 x -3 + 4 = 5

4 x -3= 1

4 + -3 =1

Step-by-step explanation:

I checked the calculator (Sorry if I’m wrong)

Answer:

≈3.8

Your Welcome!

Answer:

A=25√3 cm^2

Step-by-step explanation:

Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.

5^2+x^2=10^2

25+x^2=100

x^2=75

x= 5√3

The height of the triangle is found, so apply the formula for area:

A=1/2*5√3*10

A=25√3

Answer:

v=d/t

v=340km/85km/h

v=4 km

I hope this helps you

Answer:

[tex]\frac{2x}{5} - \frac{3}{5}[/tex]

Answer:

a: 153

Step-by-step explanation:

Do cross multiplication.

Answer:

120cm³

Step-by-step explanation:

V=w·h·l=5·3·8=120cm³

Answer: i hope it help u

Step-by-step explanation:

Answer:

Image attached

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 as a fraction