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4 years ago

What two numbers, if added together, would equal -15 but when multiplied together would equal -42

1 answer:

3 0

Consider factors of 42, then if the factors can be added or subtracted.

42 = 42 * 1
42 = 21 * 2
42 = 14 * 3
42 = 7 * 6

Since none of these can be added or subtracted to equal 15, no intergers satisfy these criteria.

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11. factor the expression. k2 – 16h2 (k 4h)(k – 4h) (k – 4h2)(k 4) h2(k 4)(k – 4) (k 4h)(k 4h)

ANEK [815]

$Use\ a^2-b^2=(a-b)(a+b)\\\\k^2-16h^2=k^2-4^2h^2=k^2-(4h)^2=(k-4h)(k+4h)$

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4 years ago

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What is <br> 2x+y=0 5x+3y=-11

miv72 [106K]

$2x+y=0\qquad\text{subtract 2x from both sides}\\\\y=-2x\\\\\text{Put it to the second equation}\ 5x+3y=-11:\\\\5x+3(-2x)=-11\\\\5x-6x=-11\\\\-x=-11\qquad\text{change the signs}\\\\\boxed{x=11}\\\\\text{Put the value of x to the first equation:}\\\\y=-2(11)\\\\\boxed{y=-22}\\\\Answer:\ \boxed{x=11\ and\ y=-22}$

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4 years ago

Joyce's mother buys some shares of Company A on Day 0.

antoniya [11.8K]

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

3 0

3 years ago

Room 1

nexus9112 [7]

Answer:

Hi... Your answer is... B

7 0

4 years ago

Read 2 more answers

You get a raise of 3.5% each year.

Sindrei [870]

Using an exponential function, it is found that:

a) The doubling time of the salary is of approximately 20 years.

b) The salary will be of $160,000.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

The growth rate for this problem is:

r = 0.035.

The doubling time is t for which A(t) = 2A(0), hence:

$A(t) = A(0)(1 + r)^t$

$2A(0) = A(0)(1.035)^t$

$(1.035)^t = 2$

$\log{(1.035)^t} = \log{2}$

$t\log{1.035} = \log{2}$

$t = \frac{\log{2}}{\log{1.035}}$

t = 20 years.

You retire in 40 years, which is 2 doubling periods, hence the salary will be of:

40000 x 2 x 2 = $160,000.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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2 years ago