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Cloud [144]
3 years ago
10

So how would you break down the problem(2x-5)^2=49

Mathematics
2 answers:
BigorU [14]3 years ago
4 0
First, simplify the equation.

4x2−20x+25=<span>49
</span>
Step 2: Subtract 49 from both sides.

<span><span>4x2−20x+25</span>=<span>49 - 49

</span></span><span><span>4x2−20x</span>−24 </span>=<span>0
</span>
Step 3: Factor left side of equation.

<span><span><span>4<span>(x+1)</span></span><span>(x−6)</span></span>=<span>0

</span></span>Step 4: Set factors equal to 0.

<span><span><span>x+1</span>=<span><span><span>0<span> or </span></span>x</span>−6</span></span>=0

Your answers:
</span><span><span>x=<span>−<span><span>1<span> or </span></span>x</span></span></span>=6</span><span>
</span><span>

</span>
ivanzaharov [21]3 years ago
3 0
To solve this you first expand the brackets.
4x^2 - 20x + 25 = 49
Then make it equal 0.
4x^2 - 20x - 24 = 0
Now solve the quardratic.

x^2 - 5x - 6 = 0
(x - 6)(x + 1) = 0
x = 6 or x = -1
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MrRissso [65]
Deena has included the discount on the wrong side of the equation.
3 0
3 years ago
A livestock pen is built in the shape of a rectangle that is 2 times as long as it is wide. The perimeter is 30 feet. If the mat
shutvik [7]

Answer:

$57.5 is the total cost to build the pen.

Step-by-step explanation:

We are given the following in the question:

A livestock pen is built in the shape of a rectangle.

The length of rectangle is two times the width.

Let l be the length of rectangle and w be the width of rectangle. Thus, we can write

l = 2w

Perimeter = 30 feet

\text{Perimeter of rectangle} = 30\\2\times (l\times w) = 30

Putting values,

2(2w + w) = 30\\6w = 30\\w = 5\\l = 2w = 10

The length of rectangle is 10 feet and width of rectangle is 5 feet.

If the material used to build the pen is $ 1.75 per foot for the longer sides and $ 2.25 per foot for the shorter sides

Cost of building =

=2\times(\text{Cost of length}\times \text{Length} + \text{Cost of width}\times \text{Width})\\=2\times(1.75\times 10 + 2.25\times 5)\\=57.5

Thus, $57.5 is the total cost to build the pen.

7 0
3 years ago
(02.03)
RoseWind [281]

Answer:

It's the one under the one you have selected.

Step-by-step explanation:

7:2

14:4

28:8

56:16

Divide the first number by 7 then multiply it by 2.

Example: 56/7=8, 8*2=16 so it's correct.

4 0
3 years ago
Read 2 more answers
In previous months, you ordered 80 boxes of pens per month. This month, you want to decrease the number of boxes of pens you ord
Lapatulllka [165]
80(0.40)=32
80-32=48 boxes of pens
3 0
3 years ago
Read 2 more answers
PLEASE HELP
Greeley [361]
No, she is not correct. Since the difference in each x is not constant, it would be an exponential function. It is multiplied at a rate of 3 times the previous number
4 0
3 years ago
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