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leva [86]
3 years ago
10

Divide 21a^3-14a by -7 A.-3a^3+2a B.-3a^3-2a C.-3a^2+2 D.3a^3+2a

Mathematics
2 answers:
skad [1K]3 years ago
5 0

For this case we must find the quotient of 21a^3-14a between -7:

That is to say:

\frac {21a ^ 3-14a} {- 7} =\\\frac {21a ^ 3} {- 7} + \frac {-14a} {- 7}

We know that:

\frac {21} {7} = 3\\\frac {14} {7} = 2\\\frac {+} {-} = -

Finally:

-3a ^ 3 + (2a) =\\-3a ^ 3 + 2a

Answer:

-3a ^ 3 + 2a

Option A

Juli2301 [7.4K]3 years ago
4 0

Answer:

The correct answer is A:-3a^3+2a

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Savatey [412]

we are given

y=19.75x

Here,

y is the number of gallons of water in the pool

x is the number of minutes the truck has been filing the pool

now, we will verify each options

option-A:

When x=1

then y=19.75

so, for 1 minute , number gallons =19.75

so, this is FALSE

option-B:

Since, we have

y=19.75x

It is similar to equation of line

y=mx+b

But b=0

It means that it passes through origin

so, this is TRUE

option-C:

y=19.75x

we can compare it with

y=mx

where m is the rate

so, we get

m=19.75

while we are given

the water in swimming pool increase about 100 gallons by every 5 minutes

so, we get rate as

m=\frac{100}{5} =20 gallons per minute

this is close to 19.75

so, they are approximately equal

so, this is TRUE

option-d:

x-value and y-value will show relationship

and ratio will always be constant or equivalent

because it has linear relationship

so, this is TRUE

option-e:

We need to check

(8,150) ..so, x=8 and y=150

we can plug this in our equation

and we get

150=19.75\times 8

150=158

Since, left side is not equal to right side

so, this can not be point

so, this is FALSE


5 0
3 years ago
Indicate the equation of the given line in standard form.
Lorico [155]
We have that
<span>triangle ABC
where
A(-5, 5), B(1, 1), and C(3, 4) are the vertices

using a graph tool
see the attached figure

the hypotenuse is the segment AC

find the equation of the line AC
</span>A(-5, 5) C(3, 4) 
<span>
step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=</span>(4-5)/(3+5)-----> m=-1/8

step 2
with C(3,4) and m=-1/8
find the equation of a line
y-y1=m*(x-x1)-----> y-4=(-1/8)*(x-3)----> y=(-1/8)*x+(3/8)+4
y=(-1/8)*x+(3/8)+4----> multiply by 8----> 8y=-x+3+32
8y=-x+35
the standard form is Ax+By=C
so
x+8y=35
A=1
B=8
C=35

the answer is
x+8y=35


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3 years ago
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The answer is 94800
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