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3 years ago

Which statement about the rates of changes of Functions A and B as shown is true?

Mathematics

1 answer:

Phoenix [80]3 years ago

7 0

Answer: function b has a greater rate of change

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Solve for x: 7x-3/5x-2 = -2

VMariaS [17]

Step-by-step explanation:

<h3>★ Solution:-</h3>

$\sf \leadsto \dfrac{7x - 3}{5x - 2} = -2$

$\sf \leadsto 7x - 3 = -2(5x - 2)$

$\sf \leadsto 7x - 3 = -10x + 4$

$\sf \leadsto 7x + 10x = 4 + 3$

$\sf \leadsto 17x = 7$

$\sf \leadsto x = \dfrac{7}{17}$

Hence the value of x is 7/17

4 0

2 years ago

Solve - 4x2 - 4x - 9 = 0, stating your solutions in the form a = bi. Someone please answer!!

PIT_PIT [208]

Answer:

$x=-0.5 \pm -i\sqrt{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Algebra II

Imaginary Roots: √-1 = i
Standard Form: a + bi

Step-by-step explanation:

Step 1: Define

-4x² - 4x - 9 = 0

a = -4

b = -4

c = -9

Step 2: Find roots

Substitute: $x=\frac{4\pm\sqrt{(-4)^2-4(-4)(-9)} }{2(-4)}$
Exponents: $x=\frac{4\pm\sqrt{16-4(-4)(-9)} }{2(-4)}$
Multiply: $x=\frac{4\pm\sqrt{16-144} }{-8}$
Subtract: $x=\frac{4\pm\sqrt{-128} }{-8}$
Factor: $x=\frac{4\pm \sqrt{-1} \cdot \sqrt{128} }{-8}$
Simplify: $x=\frac{4\pm 8i\sqrt{2} }{-8}$
Factor: $x=\frac{4(1\pm 2i\sqrt{2}) }{-8}$
Divide: $x=\frac{1\pm 2i\sqrt{2}}{-2}$
Expand: $x=\frac{-1}{2} \pm \frac{-2i\sqrt{2} }{2}$
Simplify: $x=\frac{-1}{2} \pm -i\sqrt{2}$
Evaluate: $x=-0.5 \pm -i\sqrt{2}$

6 0

3 years ago

8. Find the value of k, if (1-1) is a solution of the equation 3x-ky =8. Also, find the coordinates of

Yakvenalex [24]

Answer:

k = 5 and (6,2).

Step-by-step explanation:

Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.

Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.

So, 3(1) - k(-1) = 8

⇒ 3 + k = 8

⇒ k = 5 (Answer)

Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)

Now, putting x = 6 , then from equation (1) we get y = 2

Therefore, (6,2) is also a point on the graph of equation (1). (Answer)

8 0

3 years ago

I need help ASAP PLEASEEEEEEEEEEEEEEEEEE

Oksanka [162]

Answer:

97,99,101,103

Step-by-step explanation:

Let x = first odd integer

x+2 = 2nd odd integer

x+4 = 3rd odd integer

x+6 = 4th odd integer

Sum of 4 odd integers is 400

x+ (x+2) + (x+4)+(x+6) = 400

Combine like terms

4x +12 = 400

Subtract 12 from each side

4x+12-12 = 400-12

4x = 388

Divide by 4 on each side

4x/4 = 388/4

x=97

The first integer is 97

The 2nd is 97+2 =99

The third ix 97+4 = 101

The 4th is 97+6 = 103

5 0

3 years ago

Read 2 more answers

5(17+13) ÷(8-7) Simply the expression

Scrat [10]

First expand by multiplying
Do 5 x 17=85
Then 5 x 13= 65
As them
85+65=150
8-7=1
150/1=150
Answer-150

8 0

2 years ago

Read 2 more answers