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1 year ago

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Mathematics

1 answer:

daser333 [38]1 year ago

4 0

The expression that equals 3C+3D in standard form is:

x²+7x+1

Given:

C = -x+2

and D = x²+8x-1

we are asked to find out an expression which equals 3C+3D in standard form.

based on the conditions, formulate:

3C+3D

substitute C and D values.

⇒ 3(-x+2) + 3(x²+8x-1)

Apply multiplicative distribution law:

⇒ open the parenthesis.

⇒ -3x+6+3x²+24x-3

calculate the product or quotient

⇒ arrange the like terms.

⇒ 3x²+21x+3

⇒ Reduce the terms.

⇒ x²+7x+1

Hence we get the equation in standard form.

Learn more about Standard equations here:

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1.3 lesson help please

Airida [17]

Answer:

1. 125

2. 25

3. 40

4. 39

First question:

(15-10)^2 + (15-5)^2

parentheses first to get 5^2 + (15-5)^2

exponents next to get 25 + (15-5)^2

parentheses again 25 + 10^2

exponents again 25 + 100 = 125

Second question:

simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29

Third question:

simplify in the parentheses 6 1/7 - 1/7 = 6

divide 60 by 6 to get 10

multiply 10 by 4 to get 40!

Fourth question:

simplify the fractions to get 1/3 + 8/3 = 3

multiply the 3 by 13 to get 39

7 0

2 years ago

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Yall I just realized I skipped 4 and 5- but here's question 4

natali 33 [55]

The sum of five and the quotient of two and four
because u do division first

8 0

3 years ago

A customer borrowed 2000 and then further 1000 both repayable in 12 months .What would he have saved if he had taken out one loa

creativ13 [48]

Answer:

No savings

Step-by-step explanation:

Let the interest rate be same for all the loans and consider it to be R.

<u>First case</u>

Principal 1 = 2000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

So, interest 1 = Principal * Time * Rate

= 2000 * 1 * R

= 2000R

Now,

Principal 2 = 1000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

So, interest 2 = Principal * Time * Rate

= 1000 * 1 * R

= 1000R

Total interest to be paid = 2000R + 1000R

= 3000R

<u>Second case</u>

Principal = 3000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

Interest = Principal * Time * Rate

= 3000 * 1 * R

= 3000R

We conclude that there would be no savings because the interest to be paid in both the cases are same.

5 0

4 years ago

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Write an exponential function in the form y=ab^xy=ab

ivanzaharov [21]

Answer:

Step-by-step explanation:

let y=ab^x

x=0,y=18

18=ab^0=a

a=18

y=18b^x

when x=2,y=1152

$1152=18b^{2}\\b^{2}=\frac{1152}{18}=64=8^2\\b=8\\so~y=18(8)^x$

7 0

3 years ago

If Tammy takes out a discounted loan for $850 at a simple interest rate of 12%, but only receives $800 into her bank account, wh

Vikki [24]

Answer : The duration of the loan is, 6 months

Step-by-step explanation :

First we have to determine the discounted money.

Discounted money = $850 - $800 = $50

Thus, interest = $50

Now we have to determine the time of loan.

Formula used :

$S.I=\frac{PRT}{100}$

where,

P = principle

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

For 1 year : $\$50=\frac{(\$850)\times (12)\times T}{100}$

For 12 months : $\$50\times 12=\frac{(\$850)\times (12)\times T}{100}$

$T=5.88month\approx 6month$

Thus, the duration of the loan is, 6 months

3 0

3 years ago