Which of the following statements is true for ALL quadratic functions?

a)They all have a minimum

b)The domain is (-∞, ∞)

c)They all have a maximum

d)The range is (-∞, ∞)

Answer:

Step-by-step explanation:

Givens

b1 = 12

b2 = 50

h = 21

Area = ?

Equation

Area = (b1 + b2) * h / 2

Solution

Area = (12 + 50) * 21 / 2

Area = 62 * 21 / 2

Area = 31 * 21

Area = 651

The question is incomplete. The complete question is :

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle ......

Solution :

A triangle is defined as a close figure with three sides. It is polygon having three angles. If one of the angle is a right angle, then that triangle is known as a right angled triangle.

By Pythagoras theorem, the line opposite to the right angle is called as hypotenuse and it is the longest side in a right angled triangle.

Let a and b be the other sides and let c be the hypotenuse.

So by Pythagoras theorem, we get that [tex]$c^2=a^2+b^2 $[/tex]

From the question, a = 3 cm

                               b = 4 cm

                                c = 5 cm

Therefore,

[tex]$5^2=3^2+4^2$[/tex]

25 = 9 + 16

25 = 25

Thus the triangle is a right angled triangle.

Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

3

2

−

5

=

2

3x^{2}-5x=2

3x2−5x=2

Factor

1

Move terms to the left side

3

2

−

5

=

2

3x^{2}-5x=2

3x2−5x=2

3

2

−

5

−

2

=

0

3x^{2}-5x-2=0

3x2−5x−2=0

2

Use the sum-product pattern

3

2

−

5

−

2

=

0

3x^{2}{\color{#c92786}{-5x}}-2=0

3x2−5x−2=0

3

2

+

−

6

−

2

=

0

3x^{2}+{\color{#c92786}{x}}{\color{#c92786}{-6x}}-2=0

3x2+x−6x−2=0

3

Common factor from the two pairs

(

3

2

+

)

+

(

−

6

−

2

)

=

0

(3x^{2}+x)+(-6x-2)=0

(3x2+x)+(−6x−2)=0

(

3

+

1

)

−

2

(

3

+

1

)

=

0

Answer:

4/5

Step-by-step explanation:

See image below:)

Answer:

82 minutes

102 minutes with breaks

Step-by-step explanation:

So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.

Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French

Answer:

The answer is 13.6

a^2+b^2=c^2

so 13^2+4^=c^2

169+16=c^2

square root of 185 is 13.6

so the answer is 13.6 or 14 if you round

Answer:

Two Real Solutions

Step-by-step explanation:

Use quadratic equation discriminant5t^2+3t-7=0

[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:

Since the discriminant is greater then 0, it two real solutions.

Answer:

1/2 QP = UT

SU ║ RP

Step-by-step explanation:

If UT is parallel to QP, then it is half the length of QP. ΔTUR ~ ΔPQR with a scale factor of 1/2.

It T is the midpoint of PR, then SU is parallel to RP and half its length. Again, ΔQSU ~ ΔQPR with a scale factor of 1/2.

_____

There is no diagram accompanying this problem statement. If the above assumptions are incorrect, then the conclusions are incorrect.

Answer:

A and D

Step-by-step explanation:

it just is

Answer:

D. 66

Hope this helps!!

Answer:

x=1+√13 or x=1−√13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

5x2−10x−21−39=39−39

5x2−10x−60=0

For this equation: a=5, b=-10, c=-60

5x2+−10x+−60=0

Step 2: Use quadratic formula with a=5, b=-10, c=-60.

x=

−b±√b2−4ac

2a

x=

−(−10)±√(−10)2−4(5)(−60)

2(5)

x=

10±√1300

10

x=1+√13 or x=1−√13

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form by subtracting 39 from both sides.  We get:

5x^2 - 10x - 60 = 0

Reduce this by dividing all four terms by 5:

x^2 - 2x - 12 = 0

Use the quadratic equation to find the roots.  The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:

(-2)^2 - 4(1)(-12)  = -44   of which 4 is a perfect square factor and 11 is not.

Because the discriminant is negative, the given equation has two unequal, complex roots, which are:

      -(-10) ± i√4√11

x = -----------------------

                10

or x = 1 ± (1/5)√11

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

Answer:

13,666.7

Step-by-step explanation:

you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.

Answer:

Below

Step-by-step explanation:

The answer I got was (-5/2, -9/2) but in your case the answer is:

(-2.5, -4.5)

Answer: 2

Hope this Helps!

The common difference of the given arithmetic sequence is 2.

The given arithmetic sequence is -17, -15, -13, .....

We need to find the common difference in the given arithmetic sequence.

A common difference is a difference between consecutive numbers in an arithmetic sequence. To find it, simply subtract the first term from the second term, or the second from the third, or so on...

Now, common difference=-15-(-17)=-15+17=2

-13-(-15)=-13+15=2

Therefore, the common difference of the given arithmetic sequence is 2.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/12952623.

#SPJ2

Answer:

12.57

Step-by-step explanation:

V=πr^2 h/3

=π×2^2×3/3

Answer:

[tex]12.57\ ft^3[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\Radius\ of\ the\ base\ of\ the\ cone(r)=2\ feet\\Perpendicular\ height\ of\ the\ cone(h)=3\ feet\\Hence,\\We\ know\ that,\\Volume\ of\ a\ cone\ of\ perpendicular\ height\ h,\ and\ a\ base\ radius\ of\ r\ is:\\V=\frac{1}{3} \pi r^2h\\Here,\\Substituting\ r=2\ and\ h=3,\ we\ get:\\Volume\ of\ the\ given\ cone=\frac{1}{3}*\pi*(2)^2*3=\frac{\pi*4*3}{3}=\pi*4 \approx 12.57\ ft^3[/tex]

Answer:

150 degrees

Step-by-step explanation:

Answer:

E.150°

hope it helps.....

Answer:

The area of the following figure is 400 [tex]m^2[/tex].

Step-by-step explanation:

On the left side of the figure, you'll see that there is a half-circle with a  diameter of 20 meters. On the right side of the figure, there is a gap for a half-circle with a diameter of 20 meters. To make the calculation process easier, you can imagine that you take the half-circle from the left side and fit it onto the gap on the right in order to form a 20 meters by 20 meters square. Now you can just multiply the side lengths together to find the area, which will be 20 * 20 = 400 [tex]m^2[/tex].

Answer:

3+2 = 22 +30=  59 1/2

(x + c)2 = d or (x – c)2 = d. = (c * d)(x) = 4x^3 + 18x^2 - 10x

X=1+2

Step-by-step explanation:

sorry if wrong was every confused

Answer:

B

Step-by-step explanation:

Answer:

B. 63

Step-by-step explanation:

line M is 180 degrees just subtract 180 by 117 to find the angle

Answer:

7/32 pounds  each  = 0.21875

Step-by-step explanation:

7/8 divided into 4 is the same as

7/8 multiplied by 1/4  = 7/32

Answer:

276 degrees

Step-by-step explanation:

Angle <CBD

90 - 48 = 42 degrees

Corrisponding center angle = 84 degrees

m arc CAD

360 - 84 = 276 degrees

the second one.

Step-by-step explanation:

sjisidjdododpdpddod

Answer

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

slope: 1

y intercept: 4

equation: y=x+4

Answer:

3 is the answer

Step-by-step explanation:

Mark brainliest