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garik1379 [7]
3 years ago
5

Which of the following is a factor of the expression 5x^2- 13x-6?

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

(5x+2) (x-3)

Step-by-step explanation:

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Given f (x) = x2 + 4x + 5, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?
meriva

By evaluating the quadratic function, we will see that the differential quotient is:

\frac{f(2 + h) - f(2)}{h} = 8 + h

<h3>How to get (f(2 + h) - f(2))/h?</h3>

Here we have the quadratic function:

f(x) = x^2 + 4x + 5

Evaluating the quadratic equation we get:

\frac{f(2 + h) - f(2)}{h}

So we need to replace the x-variable by "2 + h" and "2" respectively.

Replacing the function in the differential quotient:

\frac{(2 + h)^2 + 4*(2 + h) + 5 - (2)^2 - 4*2 - 5}{h} \\\\\frac{4 + 2*2h + h^2 + 8 + 4h  - 4 - 8 }{h} \\\\\frac{ 2*2h + h^2  + 4h   }{h} = \frac{8h + h^2}{h}

If we simplify that last fraction, we get:

\frac{8h + h^2}{h} = 8 + h

The third option is the correct one, the differential quotient is equal to 8 + 4.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

8 0
2 years ago
3x(x+5y)+2y(7x-y)+4(^2+2y)
aksik [14]

Answer:

Step-by- step :

6 0
4 years ago
A circle with area \blue{9\pi}9πstart color #6495ed, 9, pi, end color #6495ed has a sector with a central angle of \purple{60^\c
Liono4ka [1.6K]

Answer:

The area of the sector is 3pi/2

Step-by-step explanation:

A sector is that part of a circle bounded by 2 radii and an arc

The circle has an area of 9 pi with a central angle of 60 degrees.

Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.

Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.

Thus, the area of the sector is one-sixth the area of the circle.

The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi

6 0
3 years ago
Answ
Amiraneli [1.4K]

Answer:

1. 7

2. 48

Step-by-step explanation:

you have to <u>subtract</u> 49-42 because some got taken away then you should end up with 7, 63-15 is 48.

7 0
3 years ago
John completes a long distance run at an average speed of 8.5 miles per hour. if it takes him 6 hours,how far did he run
Studentka2010 [4]
He ran 51 miles because
8.5 * 6 = 51.
6 0
3 years ago
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