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3 years ago

When evaluating (6x+3)2 -5 for x= 1, the given value of 1 is substituted for what part of the expression?

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

variable

Step-by-step explanation:

the variable

(6× + 3) means (6×1 + 3)

x is a variable

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What is -6x plus 18 equals -6

Neporo4naja [7]

It’s going to be -18

First add 6 to both sides to get x by itself

-6x + 18 = -6
+6 +6

X + 18 = 0

Then minus the 18 giving you x = -18

7 0

3 years ago

In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.

Licemer1 [7]

Answer:

So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.

Let's solve for what is easier first:

Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.

Here comes the interesting part:

Now, we have one part of QR, which is QN.

The other part can be solved by using the Pythagorean theorem.

It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.

SO, QR = QN + NR

5+36 = 41

QR = 41.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Solve for x -6 >_ 10 - 4x

Otrada [13]

We are given this inequality,

$-6\geq10-4x$

We will follow these steps to solve it:

Step 1:

First let us bring 10 to the left side.

10 is in addition on right, so we apply opposite operation of addition that is subtracting 10 from left side, we get

$-6-10\geq-4x$

$-16\geq-4x$

Step 2:

Next we have to eliminate -4 which is in multiplication with x on the right side.

So applying opposite operation of multiplication that is dividing both sides by -4.

We have to consider here that when we divide or multiply with a negative the sign of inequality reverses, that is ≥ becomes ≤ and vice versa.

$\frac{-16}{-4}\leq x$

x≥4

Answer is last option x≥4.

6 0

2 years ago

Last year Brian opened an investment account with $5800. At the end of the year, the amount in the account decreased by 28.5%. H

Keith_Richards [23]

Answer:

It decreased by 1653$ and he ended up with 4147$

5 0

2 years ago

The back of jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing f

kow [346]

Answer:

The maximum possible area of the pasture is 26,450 feet square.

Step-by-step explanation:

Let us assume the width of the rectangular area = m ft

and the length of the area = k ft

Also assume: ( one side with k units IS NOT FENCED)

So, the total perimeter of the fencing is:

2 m + k = 460

or, k = 460 - 2m ........ (1)

Now, AREA OF THE RECTANGULAR PORTION = Length x Width = k x m

Put k = 460 - 2m

We get: A = m (460 - 2m)

or, A = 460 m - 2m²

We need to find the maximum for the parabolic function A = 460 m - 2m²

The function has a maximum value as the quotient in front of x^2 is negative: -2 < 0

A (max) = $c-\frac{b^2}{4a}$ where a = -2, b = 460, c = 0

= $-\frac{(460)^2}{4(-2)} = 26,450$

A max = 26,450 sq ft.

The maximum possible area of the pasture is 26,450 feet square.

7 0

3 years ago