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Allushta [10]
3 years ago
8

Hi can someone reply me I am not sure how to factorise (2x+3)(4x-1)-(3+2x)(x-5)

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

I hope this is a real answer

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What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?
s344n2d4d5 [400]
A=-1 B=3 and C=2
I hope this helps
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3 years ago
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Find a cubic polynomial that goes through points (4, – 22) and (3, - 26) and has tangents with slopes
Salsk061 [2.6K]

Let <em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² + <em>cx</em> + <em>d</em>.

The graph of <em>f(x)</em> passes through (4, -22) and (3, -26), which means <em>f</em> (4) = -22 and <em>f</em> (3) = -26, so that

64<em>a</em> + 16<em>b</em> + 4<em>c</em> + <em>d</em> = -22

27<em>a</em> + 9<em>b</em> + 3<em>c</em> + <em>d</em> = -26

When the question says it has tangents at some point, I take that to mean the slope of the tangent line at that point is the given number. So <em>f '</em> (4) = 11 and <em>f '</em> (3) = -2. We have

<em>f '(x)</em> = 3<em>ax</em> ²+ 2<em>bx</em> + <em>c</em>

so that

48<em>a </em>+ 8<em>b </em>+ <em>c</em> = 11

27<em>a </em>+ 6<em>b</em> + <em>c</em> = -2

Solve the system:

• Eliminate <em>d</em> :

(64<em>a</em> + 16<em>b</em> + 4<em>c</em> + <em>d</em>) - (27<em>a</em> + 9<em>b</em> + 3<em>c</em> + <em>d</em>) = -22 - (-26)

→   37<em>a</em> + 7<em>b</em> + <em>c</em> = 4

• Eliminate <em>c</em> :

(48<em>a </em>+ 8<em>b </em>+ <em>c</em>) - (27<em>a </em>+ 6<em>b</em> + <em>c</em>) = 11 - (-2)

→   21<em>a</em> + 2<em>b</em> = 13

(48<em>a </em>+ 8<em>b </em>+ <em>c</em>) - (37<em>a</em> + 7<em>b</em> + <em>c</em>) = 11 - 4

→   11<em>a</em> + <em>b</em> = 7

• Eliminate <em>b</em>, then solve for <em>a</em> and the other variables:

(21<em>a</em> + 2<em>b</em>) - 2 (11<em>a</em> + <em>b</em>) = 13 - 2 (7)

-<em>a</em> = -1

<em>a</em> = 1   →   <em>b</em> = -4   →   <em>c</em> = -5   →   <em>d</em> = -2

Then

<em>f(x)</em> = <em>x</em> ³ - 4<em>x</em> ² - 5<em>x</em> - 2

7 0
3 years ago
What number is this?5·10²+3
777dan777 [17]

Answer:

503

Step-by-step explanation:

10 squared is 100

so you get 5x100+3

multiply 5x100 to get 500

add 500+3 and you get 503

6 0
3 years ago
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At a warehouse, Frank purchased a box of 15 oranges for $9.90 What is the cost of 1 orange?
weeeeeb [17]

Answer:

$0.66

Step-by-step explanation:

Take the total price and divide it by the number of oranges

9.90/15 = 0.66

4 0
3 years ago
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A cone with radius 2 units is shown below. Its volume is 29 cubic units. Find the height of the cone. Use 3.14 for \piπpi and ro
Lubov Fominskaja [6]

Answer:

h≈6.93 units

Step-by-step explanation:

To find the height of a cone with radius 2 units and volume of 29 cubic unit, we will follow the steps below;

first, write down the formula for finding the volume of a cone;

v=πr²\frac{h}{3}

where v is the volume of the cone

r is the radius of the cone  and

h is the height of the cone

From the question given, radius r = 2 units   and   volume v = 29 units³

π = 3.14

We can now proceed to insert the values into the formula and then solve for h

v=πr²\frac{h}{3}

29 = 3.14 × 2² × \frac{h}{3}

29= 3.14 × 4 × \frac{h}{3}

29= 12.56 × \frac{h}{3}

29 =\frac{12.56h}{3}

Multiply both-side of the equation by 3

29 × 3 =\frac{12.56h}{3} × 3

At the right-hand side of the equation 3 will cancel-out 3

87 = 12.56 h

Divide both-side of the equation by 12.56

87/12.56 = 12.56 h /12.56

At the right-hand side of the equation 12.56 will cancel-out 12.56 leaving us with just h  while on the left-hand side of the equation 87 will be divided by 12.56

6.926756 = h

h = 6.926756

h≈ 6.93 to the nearest hundredth

h≈6.93 units

3 0
4 years ago
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