A reindeer can fly at a speed of 40 miles an hour. How far will fly in 2 1/2 hours

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:

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Answer:

B

Step-by-step explanation:

One way to tell is to put both equations into slope-intercept form.  That form is usually written [tex]y=mx+b[/tex] where  m  is the slope and  b  is the y-intercept.

Solve the first equation for y.

[tex]6x+2y=5 \\ 2y=-6x+5 \\ y=-3x+5/2[/tex]

The slope of this line is -3, and its y-intercept is 5/2.

Solve the second equation for y.

[tex]y+3x=2\\y=-3x+2[/tex]

The slope of this line is -3 and its y-intercept is 2.

The lines are parallel because they have the same slope and different y-intercepts.  There is no solution to the system.

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:

DG=9

Step-by-step explanation:

2x-4=x+7

x-4=7

x=11

x-2=11-2=9

Answer: 4500

Step-by-step explanation: when t=0, then 0.8334^t= 1

And 4500 is original value of the car.

Answer:

x=28

Step-by-step explanation:

3.79+0.25x=0.99+0.35

        -0.35x         -0.35x

3.79+-0.10x=0.99

-3.79            -3.79

-0.10x=-2.8

-0.10x/-2.8

x=28

Answer:

216in^2

Step-by-step explanation:

6*6*6=216

side length is 6

6^2=36

36*6=216

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:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

Question:

The taxi company charged a pick-up fee of $4.30 plus $1.25 per mile. The total fare was $35.55, not including the tip. How many miles was the taxi ride?

Answer:

total miles 25

Prove:

35.55-4.30=31.25

31.25/1.25= 25

OR Explained

sub 4.30          35.55 - 4.30 = 31.25

Divide 1.25      31.25/1.25 = 25

Final answer is 25

After dividing what you subtracted, you will successfully get your answer.

Answer:

25 miles is the answer

Step-by-step explanation:

Answer:

id k if it's right but i hope this helps :)

Step-by-step explanation:

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: -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:

X= -243

Used Math.way

Answer:

v=d/t

v=340km/85km/h

v=4 km

I hope this helps you

Step-by-step explanation:

Given Angle AOC = 90,

Angle AOB + Angle BOC = 90

[tex]3x + 46 + 14 = 90 \\ 3x + 60 = 90 \\ 3x = 90 - 60 \\ 3x = 30 \\ x = 30 \div 3 \\ = 10[/tex]

Answer:

B) 10

Step-by-step explanation:

It is given that the (m<AOC) is (90) degrees. It is also given that (<AOB) and (<BOC) compose (<AOC). Therefore, the following statement can be made;

(m<AOB) + (m<BOC) = (m<AOC)

Substitute,

(3x + 46) + (14) = (90)

Simplify,

3x + 60 = 90

Inverse operations,

3x + 60 = 90

    -60    -60

3x = 30

/3    /3

x = 10

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

Answer:

17m=2

Step-by-step explanation:

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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:

0.37

Step-by-step explanation:

5x^2-6x-7=0

25x-6x-7=0

19x-7=0

19x=7

0.37

Answer:

x = (3-2√11)/5 ; x= (3+2√11)/5

Step-by-step explanation:

Δ/4 = (b/2)^2 - ac  where b is the term that multiplies x, a is the therm that multiplies x^2 and c is the therm without x

Δ/4 = (-3)^2 - (-7*5) = 9 + 35 = 44 = 2^2 *11

x1 = (3 - √2^2 *11)/5 = (3-2√11)/5

x2 = (3+ √2^2 *11)/5 = (3+2√11)/5

Answer:

Step-by-step explanation:

1/2 as a fraction

9514 1404 393

Answer:

  m = n = 5√2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Sin = Opposite/Hypotenuse

  sin(45°) = m/10

  m = 10·sin(45°) = 10·(√2)/2 = 5√2

The triangle is isosceles, so m = n.

  n = m = 5√2

_____

The side ratios of an isosceles right triangle are 1 : 1 : √2. That is, the legs are 10/√2 = 5√2 in this triangle. It can be useful to remember these ratios for this "special" triangle.

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