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Answer:

The quadratic equation is;

y = 3x^2-7x + 5

when x = 4, y = 25

Step-by-step explanation:

Mathematically, the general form of a quadratic equation is;

y = ax^2 + bx + c

From the first point, we have that x = 0

Thus;

5 = a(0)^2 + b(0) +c

c = 5

Now, in a case when x is 2

3 = a(2)^2 + b(2) + 5

3 = 4a + 2b + 5

4a + 2b = -2 ••••••(i)

when x = 6

71 = a(6)^2 + b(6) + 5

66 = 36a + 6b ••••••(ii)

From equation i,

2b = -2-4a ••••(iii)

we can rewrite equation ii as

66 = 36a + 3(2b)

Substitute iii into ii

66 = 36a + 3(-2-4a)

66 = 36a - 6 - 12a

66 + 6 = 36a -12a

24a = 72

a = 72/24

a = 3

Recall;

2b = -2-4a

2b = -2-4(3)

2b = -2-12

2b = -14

b = -14/2

b = -7

So the quadratic equation would be;

y = 3x^2 -7x + 5

Now let us test;

when x = 10, y = 235

That would be:

y = 3(10)^2 -7(10) + 5

y = 300 - 70 + 5

y = 235

This shows that the derived quadratic equation is correct

Now, when x = 4; we have it that;

y = 3(4)^2 -7(4) + 5

y = 48 -28 + 5

y = 20 + 5 = 25

Answer:

y = -1

Step-by-step explanation:

1) first, you would have to substitute x, the input, with 30, y = 14-0.5(30)

2) then, you would multiply 0.5 and 30 together which gets y=14-15

3) lastly, 14-15 equals -1 so y = -1

Answer:

Answer is -1

Step-by-step explanation:

First we know that x = 30, and in 0.5x we can plug in 30 because x = 30. So the equation is 14 - 0.5(30), now multiply 0.5 * 30 which will give you 15. Now the new equation is y = 14 - 15, 14 - 15 will give you -1. And that is y, Y = -1

Answer: 2 pizzas

Step-by-step explanation: 4 times 4 times 2 is 32. 1/32 divided into 60 to get 2 pizzas

Answer:

B. 6, 8, 14 city blocks

Step-by-step explanation:

Out of the 4 options, the distances 6 8 14 would not be an option.

Triangle inequality states that the sum of any two sides in a triangle is always greater than the third side.

A)5+6>9

6+9>5

5+9>6

So the triangle is possible.

B) 6+8=14 while the condition is that the sum of any two sides in a triangle is always greater than the third side i.e 6+8 must be greater than 14.

So, the triangle is not possible.

Similarly, C and D are possible triangles.

Hence, out of the 4 options, the distances 6 8 14 would not be an option.

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9514 1404 393

Answer:

  b.  2692 ft

Step-by-step explanation:

The relation of interest between the sides of the right triangle is ...

  Tan = Opposite/Adjacent

Using the given numbers, that is ...

  tan(32°) = (building height)/(4300 ft)

Multiplying by 4300 ft, we get ...

  building height = (4300 ft)·tan(32°) ≈ 2686.9 ft

This is the height above the observer's eyes, so the height of the building above the ground is ...

  2687 +5 = 2692 . . . . feet

The building is 2692 feet tall.

2.5 + 3 = 5.5 total speed

7miles / 5.5 mph = 1.27 hours

Answer:

1.27 hours

Step-by-step explanation:

The first step in this process would be adding both rates of Leila and Han together. We know Leila walks at 2.5 miles per hour and Han at 3 miles per hour.

[tex]2.5 + 3 = 5.5[/tex]

We got our sum as 5.5, so now we must complete Step 2, which is the final step. We must divide 7 by 5.5.

[tex]7 / 5.5 = 1.2727...[/tex]

1.2727 ≈ 1.27

the answer to the Question is 1.27 hours.

Answer:

the answer is 6

Step-by-step explanation:

i took the test, trust me

Answer:

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

45/36=1.25

1.25x18=22.5

not 25

no common factor

so not similar

Answer:

25

Step-by-step explanation:

Answer:

27.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

I say seven...

Answer:

hello my followers and my

Answer:391837738:646929:7473

Step-by-step explanation:

I’m doing it too but the answers 3&&

405 gallons of water in the tank in 45 minutes.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that A water tank is filled with a hose.

The table shows the number of gallons of water in the tank compared to the number of minutes the tank was

being filled.

The line of best for this data is g = 9m - 0.17.

We need to find when it is 45 minutes.

We have to put m value as 45 to find the number of gallons

g=9(45)-0.17

g=405-0.17

g=404.83

Hence, 405 gallons of water in the tank in 45 minutes.

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Answer:

For 5 days, Debbie will lose 5 dollars from her savings.

Step-by-step explanation:

Answer:

10x^2+14x-48

Step-by-step explanation:

5x*2x=10x^2

5x*6=30x

-8*2x=-16x

-8*6=48

combine them and you'll get 10x^2+14x-48

Answer:

24x-48

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

5x*2x=10x

5x*6=30x

-8*2x=-16x

-8*6=-48

40x-16x=24x

24x-48

Measure of BN = 12 cm

solution in attached image !!

off topic but Omg armyyy

Answer:

I really don't know this one but I have a feeling it os option c

Answer:

y = 2

Step-by-step explanation:

-2y + 1 = y-5

-2 - y = -5 - 1

-3y = -6

y = -6 ÷ -3

y = 2

Answer:

area= l X w

are=20

4 x 5= 20

volume=l x w x h

20 x 5

20 x 5= 100

volume=100

Step-by-step explanation:

Answer:

100, multiply the area and the height to get the volume. 20 x 5 = 100.

Answer:

please give me brainlist and follow

Step-by-step explanation:

No. It is not possible to reflect a triangle in such a way that the result is quadrilateral with any consecutive sides that are congruent.

Answer:

2340

Step-by-step explanation:

15 x 13 ÷ 2 x 24 = 2340

Answer:

-5x-(-10y)

Step-by-step explanation:

-5x-(-10y)

-5x+10y

Answer:

-5x – (-10y)

Step-by-step explanation:

-5x – (-10y) is the same as -5x+ 10y. The two negatives will cancel out and become a positive.

Answer:

45°

Step-by-step explanation:

sinθ = 24/34

take the inverse sine of 24/34:

[tex]sin^{-1}(24/34)[/tex] = 44.9° ≈ 45°

Answer:

x+8 +=98

Step-by-step explanation:

x + to 90  so 98

Answer:

3 3/8 pounds.

Step-by-step explanation:

That is the one with three x's.

Total weight = 3 * 1 1/8

= 3 3/8.