I need help with these three problems

Mathematics

1 answer:

sergiy2304 [10]3 years ago

8 0

41. The vendor sells both types of apples, meaning that he can sell his 30 lbs of apples in two ways. Therefore, we add the two sizes of apple bunches, and that leaves us with 5f + 2.5t = 30, and thus the answer is B.

42. There's an easy way to solve this. In a quadratic function of the form ax² + bx + c, the 2 (real) roots must always multiply to c, and add to b. The roots of our function are -1 and 6. -1 * 6 = -6, and -1 + 6 = 5. So, we are looking for something that is x² + 5x - 6, which would be A.

43. Since you took the boxes "out" of the bookcase, you would subtract 18. This leaves us with choice A and C. Because the bookcase can hold "no more than" t books, t must less than or equal to 8b. So, we are looking for something that is equivalent to t ≤ 8b - 18, which is A.

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Which equation represents the line that passes through (5,8) and (9,2)

Dahasolnce [82]

ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

6 0

3 years ago

Find the area of this sector

slavikrds [6]

Answer:

1492.885

Step-by-step explanation:

the whole circle has 360° and an area of pi*r² =pi*24²=pi* 576

for 360° and A=pi*576

for 360-63= 297° and A= (297*576*pi) / 360 = 1,492.885 m²

6 0

3 years ago

You drop a pencil out of window that is 20ft above the ground. Use the formula V^2=64s, where V is speed and s is the distance f

gizmo_the_mogwai [7]

First you substitute in the values so you have
V^2=(64)20
then you just simplify it
V^2=1280
V=the square root of 1280
V= about 35.7770876
or
V=the square root of 256 times <span>the square root of 5
V=16 times </span><span>the square root of 5

also V would typically be called velocity. it's very similar to speed but it is just easier to remember because it starts with a V</span>

8 0

3 years ago

Help me pleas. And no bots. :)

andreev551 [17]

Answer:

1st is B

2nd is A

3rd is D

last is C

4 0

3 years ago

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