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scoray [572]
3 years ago
9

Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet

wide by 7 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?.
Mathematics
1 answer:
Vilka [71]3 years ago
8 0
The answer is 4x^2+26x-3=0
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Tell whether (-1,2) is a solution of 8x+y>-6
harina [27]

Answer:

Not a solution.

Step-by-step explanation:

(x, y)

(-1, 2)

Substitute the x and y values in the expression with the point given.

8x + y > -6

8(-1) + 2 > -6

-8 + 2 > -6

-6 > -6

Since our final value has to be greater than -6 but is instead equal to -6, the solution is not true.

3 0
3 years ago
If y varies inversely as x and y=32 when x=3, find x when y=15
deff fn [24]
Y=kx, k is not equal to 0
when y=32,x=3, 32=3k
                           k=32/3
so y=32/3*x
when y=15, 15=32/3*x
                     x=45/32

5 0
3 years ago
Identify the domain of the exponential function shown in the following graph:
Advocard [28]
All real numbers is the correct answer.
4 0
3 years ago
Read 2 more answers
Consider the function below. f(x) = ln(x4 + 27) (a) Find the interval of increase. (Enter your answer using interval notation.)
andrezito [222]

Answer:

a) The function is constantly increasing and is never decreasing

b) There is no local maximum or local minimum.

Step-by-step explanation:

To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.

f(x) = ln(x^4 + 27)

f'(x) = 1/(x^2 + 27)

Now we take the derivative and solve for zero to find the local max and mins.

f'(x) = 1/(x^2 + 27)

0 = 1/(x^2 + 27)

Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.

6 0
3 years ago
Juliet has a choice between receiving a monthly salary of $1750 from a company or a base salary of $1600 and a 3% commission on
Westkost [7]

For an amount of sales of $5,000, the two salary choice will be equal

Let the amount of sales be $x

The 3% she will receive will be;

\frac{3}{100}\times x\text{ = 0.03x}

We add this to the base salary and equate to the former monthy salary

We have this as;

\begin{gathered} 1750\text{ =1600 + 0.03x} \\ 1750-1600\text{ = 0.03x} \\ 150\text{ = 0.03x} \\ x\text{ = }\frac{150}{0.03} \\ x\text{ = \$5000} \end{gathered}

4 0
1 year ago
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