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2 years ago

2 4/5 ÷ 3 1/2 + 1/5 = ?

Mathematics

1 answer:

Irina18 [472]2 years ago

4 0

2 4/5 ÷ 3 1/2 + 1/5 = 1

explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

hope this helps <3

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One factor of One factor of f(x)=5x^3+5x^2-170x + 280 is (x +

SpyIntel [72]

Answer:

x = –7, x = 2, or x = 4 are factors of f(x).

Step-by-step explanation:

Given : f(x) = 5x³ +5x²-170x +280 and x + 7 is one factor .

To find : What are all the roots of the function.

Solution : f(x) = 5x³ +5x²-170x +280 .

We have given that x + 7 is factor that mean x = -7 is factor of f(x )

When we divide f(x) by x +7 we get

5x² -30x +40 =0

Taking common 5 from equation

5( x² -6x +8) =0

On dividing by 5 both sides

x² -6x +8 = 0

On factoring

x² -2x -4x +8 = 0.

Taking common x from first two terms and -4 from last two terms

x ( x -2) -4 (x -2) = 0

On grouping

(x-2) (x-4) = 0

x -2 =0

x =2

x-4 =0

x = 4

Therefore, x = –7, x = 2, or x = 4 are factors of f(x).

4 0

4 years ago

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A TV that usually sells for $300 is on sale for 15% off. What is t the price of the stereo after the 15% discount. $250 $285 $25

Pachacha [2.7K]

Answer: $255
Explanation: Multiply 300x15% to find the amount of money discounted which is $45. Then subtract the $45 from the $300 to get $255. Hope this helps!

3 0

3 years ago

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Can I have some help

ipn [44]

Itd be 1, because the other ones aren’t possible

6 0

3 years ago

Dario divides 4/6 yard of rope equally into 1/12 yard pieces for a craft project.How many pieces of rope does Dario have?Use a n

zubka84 [21]

Answer:

Eight pieces

Step-by-step explanation:

Create a number line running from 0 to 4/6.

Label the divisions as 1/6, 2/6, 3/6, and 4/6.

Divide each section in half to get small pieces of length 1/12.

Starting at zero, move to 4/6 on the number line and count the number of pieces as you go.

You count eight pieces, so Dario has eight pieces of rope.

5 0

3 years ago

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The demand function for q units of a product at $p per unit is given by p(q + 3)2 = 100,000. Find the rate of change of quantity

wariber [46]

Answer:

-0.625 unit

Step-by-step explanation:

Given that:

$p(q+3)^2 = 100, 000$

where;

p = price

q = quantity

To find the rate of change of quantity (q) with respect to price (p) we go by the differentiation

$(q+3)^2\frac{dp}{dp} +p^2(q+3)\frac{dq}{dp}=0$

$(q+3)^2 +p^2(q+3)\frac{dq}{dp}=0$

$\frac{dq}{dp}=\frac{-(q+3)}{2p}$

when P =40

Then 4(q+3)² = 100, 000

(q+3)² = $\frac{100,000}{4}$

(q+3)² = 25,000

(q+3) = $\sqrt{2500}$

q+ 3 = 50

q = 50 -3

q = 47

NOW; $\frac{dq}{dp}=\frac{-(q+3)}{2p}$

$\frac{dq}{dp}=\frac{-(47+3)}{2*40}$

$\frac{dq}{dp}=\frac{-47-3}{2*40}$

$\frac{dq}{dp}=\frac{-50}{80}$

$\frac{dq}{dp}=-0.625$

Thus, the rate of change of quantity with respect to price when p = $40 is -0.625 unit.

8 0

4 years ago

2 4/5 ÷ 3 1/2 + 1/5 = ?​

2 4/5 ÷ 3 1/2 + 1/5 = ?