can someone answer it plsssssss

Answer

1/4 × 6 × (5a) = 12

15a=12

a= 4/5

Step-by-step explanation:

The area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. The constant (a) of the function is 4.

The triangle formed by the parabola has a base equal to the distance between the points where the graph touches the x-axis and height (h) is the point where the graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

a(x-3)(x+2)=0

(x-3)(x+2)=0

x - 3 = 0

x = 3

or

x + 2 = 0

x = -2

So, the base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, the distance here;

b = 3 - (-2)

b = 5

The area of the triangle is 10. So

5a = 10 x 2

a = 4

The constant (a) of the function y = a(x-3)(x+2) is 4.

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Answer:

The answers 528

put 2 and 5

Answer:

528

Step-by-step explanation:

:)

Answer:

It's A on edge

Step-by-step explanation:

Answer:

A.) x = 6 plus-or-minus 3 StartRoot 10 EndRoot

Step-by-step explanation:

bc im taking test :)

Answer:

18 (-8 squared)

Answer:

71.915

Step-by-step explanation:

3.785= how many liters that are in a gallon X 19= gallons of gas needed to fill the tank

The number of liters in 1 gallon is 3.78541 therefore,71.92 liters Paul needs to fill in his tank.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

Given that,

The amount of fuel Paul's car holds = 19 gallons.

We know that,

1 gallon = 3.78541 liter

Multiply both sides by 19

19 gallon = 71.92 liter.

Hence "The number of liters in 1 gallon is 3.78541 therefore,71.92 liters Paul needs to fill in his tank".

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Answer:

The ordered pair to represent the second term as an ordered pair is:

Step-by-step explanation:

Background knowledge about the sequence function

A sequence is defined as the function whose domain is the set of natural numbers (counting numbers).

1,        2,        3,       4,     ....        n,   ....  

↓

a₁,       a₂,      a₃,      a₄,    ....       aₙ,   ....

Here,

1 gets mapped onto a₁,

2 gets mapped onto a₂, and so on

The numbers a₁,       a₂,      a₃,      a₄,    ....       aₙ,   .... are the terms of the sequence.

The number aₙ is the nth term of a sequence.

And the sequence function is denoted by {aₙ}.

Given the sequence

3, 9, 15, 21, ...

Here,

a₁ = 3 is the first term

a₂ = 9 is the second term

Thus, the ordered pair to represent the second term as an ordered pair is:

Answer:

-5

Step-by-step explanation:

Answer:

Common difference = -10

Step-by-step explanation:

Given:

Series;

-34,-44,-54,-64, -74

Find:

Common difference

Computation:

Common difference = a2 - a1

Common difference = -44 - (-34)

Common difference = -44 + 34

Common difference = -10

Answer:

The correct answer is D!!!

Step-by-step explanation:

I used the Desmos Polar graph and got the correct answer!!!

A point C reflected about polar-axis has coordinates [tex](5,-\frac{7\pi}{6} )[/tex]

For given question,

We have been given four points.

[tex]A=(5,\frac{\pi}{6} ), B=(5,\frac{5\pi}{6} ),C=(5,\frac{7\pi}{6} ),D=(5,\frac{11\pi}{6} )[/tex]

If we plot the above points on the polar coordinate plane then it would be as shown below.

We need to find the point having coordinates [tex](5,-\frac{7\pi}{6} )[/tex]

If we reflect a point [tex]C(5,\frac{7\pi}{6} )[/tex] about polar-axis then the coordinates of the reflected point would be [tex](5,-\frac{7\pi}{6} )[/tex]

Therefore, point C reflected about polar-axis has coordinates [tex](5,-\frac{7\pi}{6} )[/tex]

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Answer:

e

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helped! please let me know if im wrong

Answer:

10

Step-by-step explanation:

When u cross multiply

[tex]5 \div x = 3 \div6[/tex]

= 3x=30(5*6)

= x=30/3

=x=10

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height *

Step-by-step explanation:

Answer: B

Step-by-step explanation:d≈4.02

V Volume  

34

r

d

r

d

d

r

Using the formulas

V=4

3πr3

d=2r

Solving ford

d=(6V

π)⅓=(6·34

π)⅓≈4.01939

Answer:

Bet the answer is

half way

LOL its yes

Answer:

The relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Given the relation

{(0,1), (-5,4), (0,2), (5,-4)}

From the given relation is clear that the input value x = 0 is repeated twice.

In other words, the input value x = 0 is duplicated.

As we have already mentioned that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, the relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.

Answer:

c

Step-by-step explanation:

Answer:

C is correct

Step-by-step explanation:

Answer:

y = 1/4x-1

Step-by-step explanation:

Ok first, you need to find the slope:

0+2 = 2=1

4+4 = 8=4

Slope: 1/4

y=1/4x+b

Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.

I will use (4,0)

0=1/4 X 4 + b

0=x+b

minus x on both sides. x=1

-1=b

An equation of the line that passes through the pair of points

(- 4, - 2), (4, 0) is  y + 2 = (1/4)(x + 4).

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A  line that passes through the pair of points. (−4, −2), (4, 0).

We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.

So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).

∴ y + 2 = (1/4)(x + 4).

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Answer:

51

Step-by-step explanation:

4% as a decimal is 0.04, so you can just do 0.04 * 1275 = 51.

Answer:

-51

Step-by-step explanation:

ree

Answer:

radius was given

V=1570 ft cubed

Step-by-step explanation:

Volume of a cylinder= 3.14(r^2)h

=3.14(10^2)5

=15.7(100)

=1570

Answer:

false

Step-by-step explanation:

bc i said so

Answer:

23

Step-by-step explanation:

because 10+13 well hope that helps

Answer:

i dunno this im in third grade

Step-by-step explanation:

Answer:

y = -(6+3x)/2

Step-by-step explanation:

♪＼(*＾▽＾*)／＼(*＾▽＾*)／

Answer:

Taylor will charge more by $15

Step-by-step explanation:

Given

Taylor

First Hour = $15

Hourly Rate = $10

Lucy:

[tex]f(x) = \left \{ {{20x,\ 0 \le \ x \ \le 2} \atop {10x, x>2}} \right.[/tex]

For a dog walk of 2.5 hours.

Taylor's charges is:

[tex]Charges = First\ Hour + Hourly\ Rate * 2.5[/tex]

[tex]Charges = \$15 + \$10 * 2.5[/tex]

[tex]Charges = \$15 + \$25[/tex]

[tex]Charges = \$40[/tex]

Lucy's charges is:

Here, we consider

[tex]f(x) = 10x[/tex] Because [tex]x > 2[/tex]

i.e 2.5 > 2

So, Lucy's charges is:

[tex]Charges = 10 * \$2.5[/tex]

[tex]Charges = \$25[/tex]

By comparison;

Taylor will charge more by $15

The difference is calculated by:

[tex]Difference = \$40 - \$25[/tex]

[tex]Difference = \$15[/tex]

Answer:

bts

Step-by-step explanation:

Answer:

D. goes down and to the right

Step-by-step explanation: