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zvonat [6]
3 years ago
11

How many solutions does the following equation have?

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

Answer:

One solution

Step-by-step explanation:

Hi,

3(x + 5) = -4x + 8

3x + 15 = -4x + 8

7x + 15 = 8

7x = -7

x = -1

One solution :)

Alexxandr [17]3 years ago
4 0

Answer:

exactly one solution

Step-by-step explanation:

3x+15=_4x+8

7x=8 -15

x=_7/7

x=-1

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The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the​ length, find the
Paul [167]
So.. hmm notice the picture here

we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59

we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2

now.. use the pythagorean theorem
\bf c^2=a^2+b^2\implies \qquad 
\begin{cases}
a=2w+59\\
b=w\\
c=(2w+59)+2\to 2w+61
\end{cases}
\\\\\\
(2w+61)^2=(2w+59)^2+(w)^2
\\  \qquad\qquad \uparrow\qquad \qquad\qquad \qquad \uparrow  \\
\textit{expand using binomial theorem, or FOIL}

you'd end up with a quadratic, after simplifying, solve for "w"

7 0
3 years ago
Answer please!! Thanks!
sergij07 [2.7K]

Answer: 9.6 units

<u>Step-by-step explanation:</u>

The formula for the length of a diagonal (d) for a rectangular prism given length (L), width (w), and height (h) is: d² = L² + w² +  h²

Given: L = 8, w = 2, h = 5

 d² = 8² + 2² + 5²

 d² = 64 + 4 + 25

 d² = 93

√d² = √93

 d = 9.6

8 0
3 years ago
Evaluate 35/a when a=7. The value is​
mestny [16]

Answer:

a = 5

Step-by-step explanation:

a = 7

35/a

35/(7)

= 5

Hope this helped

6 0
3 years ago
Can you please explain how i can work through these problems?
pshichka [43]
Did you add a photo? I cant see one
3 0
3 years ago
a hospital bill is estimated to be $480. It ends up actually costing the patient $524.50. What is the percent of error in the bi
lozanna [386]

Answer:

8.48%

Step-by-step explanation:

Given that,

The estimated bill = $480

Actual costing of the bill = $524.50

We need to find the percent error in the bill. It can be calculated as follows :

\%=\dfrac{524.50-480}{524.50}\times 100\\\\\%=8.48\%

So, the percentage error in the bill is 8.48%.

6 0
4 years ago
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