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ra1l [238]
3 years ago
7

What is 1 7/40 in the simplest form

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
6 0
It all ready Is in simplest form ❤️
OleMash [197]3 years ago
4 0
That is the simplest form
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Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha
Nookie1986 [14]

Answer:

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.  The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c - Coefficients, dimensionless.

If we know that (3, -30), (-2, 0) and (18, 0) are part of the parabola, the following linear system of equations is formed:

9\cdot a +3\cdot b + c = -30

4\cdot a -2\cdot b +c = 0

324\cdot a +18\cdot b + c = 0

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

a = \frac{2}{5}, b = -\frac{32}{5}, c = -\frac{72}{5}.

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.

Now, we calculate the average rate of change (r), dimensionless, between x = -2 and x = 8 by using the formula of secant line slope:

r = \frac{y(8)-y(-2)}{8-(-2)}

r = \frac{y(8)-y(-2)}{10}

x = -2

y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}

y(-2) = 0

x = 8

y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}

y(8) = -40

r = \frac{-40-0}{10}

r = -4

The average rate of change of the parabola is -4.

3 0
2 years ago
Can someone plz help me with this one problem plzzzzz!!! I will mark brainliest
Tpy6a [65]

Answer:

2 = 76

3 = 114

8 = 304

10 = 380

5 0
2 years ago
Find 4,290 + 3,602. Explain how to use mental math to solve.
lina2011 [118]
Answer: 7892

explanation: add each number individually left to right. 4+3 , 2+6 , 9+0 , 0+2
4 0
3 years ago
Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio
Galina-37 [17]

Answer:

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is (x_1,y_1)=(-3, 2)

Equation of a circle with center (h,k) and radius 'r' is given as:

(x-h)^2+(y-k)^2=r^2

Here, (h,k)=(5,-4)

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

r^2=(h-x_1)^2+(k-y_1)^2

Using distance formula for the points (5, -4) and (-3, 2), we get

r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100

Now, rewriting it in the form asked in the question, we get

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

4 0
3 years ago
Which place is the better but
lawyer [7]

Answer:

Stop and Save

Step-by-step explanation:

Find the cost of one apple in each place.

<u>Quick Market</u>:

Divide the total cost with the amount of apples:

1.08/3 = 0.36

The cost for one apple in <em>quick market </em>is $0.36

<u>Stop and Save</u>:

Divide the total cost with the amount of apples:

1.10/5 = 0.22

The cost for one apple in <em>Stop and Save</em> is $0.22

-----------------------------------------------------------------------------------------

$0.22 < $0.36 ∴ <em>Stop and Save</em><em> </em>is cheaper than Quickmarket by $0.14, making Stop and Save your answer.

~

3 0
3 years ago
Read 2 more answers
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