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larisa [96]
3 years ago
14

Can someone help with this math question

Mathematics
1 answer:
makkiz [27]3 years ago
8 0
This is a problem of region. As shown in the figure, we have straight lines. We know that the equation for non-vertical lines is often given in the slope-intercept form by:
y=mx+b

being m the slope of the line and <span>b the y-intercept of it.

On the other hand, if x = 0 then y = b.
</span>
We will order the equations above without inequalities<span> like this:

</span>y=-x-6
<span>
So, the G and J are straight lines with negative slope. We need to find the one that matches the inequality. Taking a point, for example (0, 0), we will analyze Figure J, so in the inequality:

</span>0+0\ \textless \ -6
<span>
This is false, so this statement doesn't match the Figure J. Therefore, the answer is G.




</span>
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Factored completely, the expression 16k^2 + 16k + 4 is equivalent to
sergeinik [125]
16k^2 + 16k + 4

We can first start off by dividing every term by 4:

4 (4k^2 + 4k + 1)

to factor, you find which two number you can multiply with each other to get the middle term. So 2 and 2 to get 4. Substitute that into the equation

4 (4k^2 + 2k + 2k + 1)

the first two terms become a group and the last 2 terms become a group. Factor like terms out of the two groups.

4 (2k (2k + 1) + 1 (2k + 1))

4 (2k + 1)(2k + 1)
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Which of the following sentences is true? Use the number line to help you decide.
alina1380 [7]

Answer:

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3 years ago
$53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. how much is in the accou
ella [17]

Answer:

$57,369

Step-by-step explanation:

We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.

To solve our given problem we will use compound interest formula.\

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given rate in decimal form.

2\%=\frac{2}{100}=0.02

Upon substituting our given values in compound interest formula we will get,

A=\$53,000(1+\frac{0.02}{1})^{1*4}

A=\$53,000(1+0.02)^{4}

A=\$53,000(1.02)^{4}

A=\$53,000*1.08243216

A=\$57368.90448\approx \$57,369

Therefore, an amount of $57,369 will be in the account after 4 years.

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How far from the base of the house do you need to place a 13-foot ladder so that it exactly reaches the top of a 10- foot tall w
cestrela7 [59]
Answer:
3 feet from the house
Step-by-step explanation:
well since 3 extra feet is one the ladder than the wall 3feet should do it
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3 years ago
A circular rug has a diameter of 6 feet. What is the area of the rug?
Igoryamba

Answer: B - 28.26 ft^2

Step-by-step explanation:

Formula is pi x r^2

3.14158 x 3^2 = 28.26

8 0
3 years ago
Read 2 more answers
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