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3 years ago

Translate the following word phrase into an algebraic expression: nine times five less than twice x.

Mathematics

1 answer:

bagirrra123 [75]3 years ago

4 0

The given statement is "nine times five less than twice x".

So, twice of x can be written as 2x and nine times five is 9*5.

Now 9*5 less 2x means we need to take out 9*5 from 2x.

Hence, this statement will be converted into an algebraic expression as follows:

2x-9*5

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What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

The correct question is

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

Verify

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

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Answer:

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2 years ago

Read 2 more answers

A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20%

Liono4ka [1.6K]

Answer: See explanation

Step-by-step explanation:

a. The deposit

= 15% × $2975

= 15/100 × $2975

= 0.15 × $2975

= $446.25

b. The hire purchase price

Outstanding balance = $2975 - $446.25 = $2528.75

20% of outstanding balance

= 20% × $2528.75

= 0.2 × $2528.75

= $505.75

Hire purchase price

= $2975 + $505.75

= $3480.75

c. The difference the hire purchase price and cash price

= $3480.75 - $2975

= $505.75

d. The difference as a percentage of the cash price.

= ($505.75 / $2975) × 100

= 0.17 × 100

= 17%

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2 years ago

Using exponent laws please answer this

hram777 [196]

Answer:

see below

Step-by-step explanation:

In addition to the exponent rule ...

(a^b)^c = a^(bc)

it is helpful to know the first few powers of some small integers.

5^3 = 125

9^2 = 81

4^3 = 64

2^6 = 64

125^3 = (5^3)^3 = 5^(3·3) = 5^9
81^7 = (9^2)^7 = 9^(2·7) = 9^14
(1/64)^3 = ((1/4)^3)^3 = (1/4)^(3·3) = (1/4)^9
(1/64)^3 = ((1/2)^6)^3 = (1/2)^(6·3) = (1/2)^18

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3 years ago

I need help on 8.02× 70

Leviafan [203]

Lets solve this!

8.02 x 70 = 160.40.

Voila! Your answer is 160.40.

Hope this Helps!

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3 years ago