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3 years ago

Simplify the expression

Mathematics

2 answers:

MaRussiya [10]3 years ago

5 0

11) 7 + -10+(4(5+-3)) = 7+-10+8=5

12) (12 +-10)+3x+-1(2x+4x), 12+-10x+3x+-2x+-4x = 12+-13x

makvit [3.9K]3 years ago

5 0

11. According to the Order of Operations, you start with the inner brackets and work outward. Then, finally, you do the sum left to right.

... 7 + (-10) +(4(5 -3))

... = 7 + (-10) +4(2)

... = 7 + (-10) + 8

... = -3 + 8

... = 5

12. (12 -10x) +3x -(2x +4x)

... = (12 -10x) +3x -6x . . . . . . combine terms inside parentheses

... = 12 - 10x + 3x - 6x . . . . . terms inside the left parentheses cannot be combined

... = 12 -7x -6x . . . . . . . . . . . here, we're combining terms left to right. Of course like terms can be added in any order you may desire, as long as you pay attention to signs. It is sometimes convenient to add all the positve terms, add all the negative terms, then find the sum of those. -10x +3x -6x = 3x -(10x +6x) = 3x -16x = -13x.

... = 12 -13x

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3 years ago

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Komok [63]

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Step-by-step explanation:

8 0

3 years ago

Which equation is the inverse of y = 16x2 + 1? | yi x=1

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3 years ago

Y-5, y=2x^2-16x+29, use substitution to solve the system of equations

seraphim [82]

Answer:

2x^2-16x+34

Step-by-step explanation:

Since Y is equal to -5

And you substitute -5 in the equation.

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7 0

3 years ago

suppose that you plan on taking a summer job selling magazines subscriptions . the magazine company will help you pay $0.75 for

alina1380 [7]

Answer:

Money earned by selling 175 magazine subscriptions will be 3176.25

Solution:

Given that you are planning to take a summer job selling magazine subscription.

For first subscription, magazine company will help you to pay $0.75

For each additional subscription sold, magazine company will pay you $0.20 more than what was paid for previous subscription.

So for second subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 1

And for third subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 2

Generalizing for nth subscription we get

Payments for nth subscription = 0.75 + 0.20(n-1)

so here we can see that arithmetic sequence is formed, having first term

$a_1 = 0.75$ and common difference = d = 0.20

We need to determine sum of above arithmetic sequence for n = 175

Formula for sum of arithmetic sequence is as follows 

$\mathrm{S}_{\mathrm{n}}=\frac{n}{2}[2 a+(n-1) d]$

In our case n = 175, a = 0.75, d = 0.20

$\begin{array}{l}{=>\mathrm{S}_{175}=\frac{175}{2}[(2 \times 0.75)+(175-1) 0.20]} \\\\ {=>\mathrm{S}_{175}=\frac{175}{2}[1.5+(174 \times 0.20)]} \\\\ {\Rightarrow \mathrm{S}_{175}=\frac{175}{2} \times 36.3=3176.25}\end{array}$

Hence money earn by selling 175 magazine subscriptions will be 3176.25

6 0

3 years ago