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3 years ago

Guys this Question is about system of equation word problem please assist me !

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Let f and s represent the weights of the first and second objects, respectively.
.. f - s = 200 . . . . . . . . the first is 200 lb heavier than the second
.. s = (1/3)f . . . . . . . . . . the second was 1/3 the weight of the first

In augmented matrix form, the equations can be written
.. f - s = 200
.. f - 3s = 0

The solution is
.. f = 300
.. s = 100
Their total weight is 400 lb, not enough to kill Mr. Boddy. The physics-loving professor is apparently innocent.

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3 years ago

If mc010-1.jp g and mc010-2.jp g, which expression could be used to verify that mc010-3.jp g is the inverse of mc010-4. ? mc010-

solmaris [256]

if indeed two functions are inverse of each other, then their composite will render a result of "x", namely, if g(x) is indeed an inverse of f(x), then

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5 0

3 years ago

Write a solution in Interval Notation - (you don't have to help me on all, 1 or 2 is fine c: )

Gemiola [76]

QUESTION 1

The given inequality is

$|m|-2>0$

We group like terms to get,

$|m|>2$

This implies that,

$-m>2$ or $m>2$ .

We simplify the inequality to get,

$m$ or $m>2$ .

We can write this interval notation to get,

$(-\infty,-2)\cup (2,+\infty)$ .

QUESTION 2

$|x-4|-3\:>\:5$ .

We group like terms to get,

$|x-4|\:>\:5+3$ .

$|x-4|\:>\:8$

We split the absolute value sign to get,

$-(x-4)\:>\:8$ or $x-4\:>\:8$

This implies that,

$x-4\:$ or $x-4\:>\:8$

$x\:$ or $x\:>\:8+4$

$x\:$ or $x\:>\:12$

We can write this interval notation to get,

$(-\infty,-4)\cup (12,+\infty)$ .

QUESTION 3

The given inequality is

$|6+9x|\leq 24$

We split the absolute value sign to obtain,

$-(6+9x)\leq 24$ or $(6+9x)\leq 24$

This simplifies to

$6+9x\ge -24$ and $6+9x\leq 24$

$9x\ge -24-6$ and $9x\leq 24-6$

$9x\ge -30$ and $9x\leq 18$

$x\ge -\frac{10}{3}$ and $x\leq 2$

$-\frac{10}{3}\leq x\leq2$

We write this in interval form to get,

$[-\frac{10}{3},2]$

QUESTION 4

The given inequality is

$|1-5a|>29$

We split the absolute value sign to get,

$-(1-5a)>29$ or $1-5a>29$

This simplifies to,

$1-5a\:$ or $1-5a\:>\:29$

This implies that,

$-5a\:$ or $-5a\:>\:29-1$

$-5a\:$ or $-5a\:>\:28$

$a\:>\:6$ or $a\:$

We write this in interval notation to get,

$(-\infty,-\frac{28}{5})\cup (6,+\infty)$

7 0

3 years ago

Determine the product of (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.

likoan [24]

Answer:

Step-by-step explanation:

a) = 46.2 X 10∧-1

=0.462

b) = 5.7 x 10∧-6

= 0.00057

3 0

3 years ago

Shopping at clothing world, jenna buys her children four shirts and three pairs of pants for 124.25. She returns the next day an

Aleksandr-060686 [28]

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75

Step-by-step explanation:

Let,

Cost of one shirt = x

Cost of pair of jeans = y

According to given statement;

4x+3y=124.25 Eqn 1

3x+5y=161.25 Eqn 2

Multiplying Eqn 1 by 3

$3(4x+3y=124.25)\\12x+9y=372.75\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 4

$4(3x+5y=161.25)\\12x+20y=645\ \ \ Eqn\ 4$

Subtracting Eqn 3 from Eqn 4

$(12x+20y)-(12x+9y)=645-372.75\\12x+20y-12x-9y=272.25\\11y=272.25$

Dividing both sides by 11

$\frac{11y}{11}=\frac{272.25}{11}\\y=24.75$

Putting 24.75 in Eqn 1

$4x+3(24.75)=124.25\\4x+74.25=124.25\\4x=124.25-74.25\\4x=50$

Dividing both sides by 4

$\frac{4x}{4}=\frac{50}{4}\\x=12.50$

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

8 0

3 years ago