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emmainna [20.7K]
3 years ago
10

Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.​

Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

x ≈ - 6.49, x ≈ 12.49

Step-by-step explanation:

Given

(x - 3)² + 7 = 97 ( subtract 7 from both sides )

(x - 3)² = 90 ( take the square root of both sides )

x - 3 = ± \sqrt{90} ( add 3 to both sides )

x = 3 ± \sqrt{90}

Then

x = 3 - \sqrt{90} ≈ - 6.49 ( to the nearest hundredth )

x = 3 + \sqrt{90} ≈ 12.49 ( to the nearest hundredth )

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Solve the two-step equation and identify the steps.
neonofarm [45]

Answer:

x = 15

Step-by-step explanation:

Given

2 = - \frac{7}{4} + \frac{1}{4} x

Multiply through by 4 to clear the fractions

8 = - 7 + x ( add 7 to both sides )

15 = x

8 0
3 years ago
(5-(-4)^2)^2)
stepladder [879]

Answer:

121

Step-by-step explanation:

You are missing a parentheses

Assuming you just mean to close the parentheses

((5-(-4)^2)^2)

The first step is to complete the inside parentheses

PEMDAS

(5-(-4)^2)

Do the exponents first

(5-(16))

-11

Put this in the equation for (5-(-4)^2)

(-11) ^2

121

6 0
3 years ago
How many sides does a regular polygon have if one exterior angle is 1 degree
Mariulka [41]

Answer:

The number of sides are 360

Step-by-step explanation:

We are given

exterior angle is 1 degree

Firstly, we will find interior angle

interior angle = 180 - exterior angle

we can plug value

interior angle = 180 - 1

interior angle = 179

now, we can use formula

\frac{180(n-2)}{n}=\theta

now, we can plug angle

\frac{180(n-2)}{n}=179

now, we can solve for n

180\left(n-2\right)=179n

180n=179n+360

n=360

So,

The number of sides are 360


5 0
3 years ago
Help me. what is three and one half times one and two thirds
Natali [406]

Answer:

3 1/2 × 1 2/3 = 5 5/6.

5 0
3 years ago
Read 2 more answers
Evaluate the upper and lower sums for f(x) = 1 + x2, −1 ≤ x ≤ 1, with n = 3 and 4.
Elenna [48]
I'm going to assume that your function is f(x) = 1 + x^2    (NOT x2).

I suspect you're trying to estimate the "area under the curve of f(x) = 1 + x^2.  You need to use this or a similar description to explain what you're doing.

Also, you need to specify whether you want "left end points" or "right end points" or "midpoints."  Again I must assume you want one or the other (and will assume that you meant "left end points").  

First, let's address the case n=3.  You must graph f(x) = 1 + x^2 between -1 and +1.     We will find the "lower sum," using "left end points."  The 3 x-values are {-1, -1/3, 1/3}.  Evaluate the function f(x) = 1 + x^2 at these 3 x-values.  Keep in mind that the interval width is 2/3.
The function (y) values are {0, 2/3, 4/3}.

Sorry, Michael, but I must stop here and await clarification from you regarding what you've been told to do in this problem.  Otherwise too much guessing (regarding what you meant) is necessary.  Please review the original problem and ensure that you have copied it exactly as presented, and also please verify whether this problem does indeed involve estimating areas under curves between starting and ending x-values.
7 0
3 years ago
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