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2 years ago

Joe needs to read 4 novels each month.

Mathematics

1 answer:

marusya05 [52]2 years ago

4 0

9514 1404 393

Answer:

N = 4M
44

Step-by-step explanation:

If Joe reads 4 novels each month, the number of novels read will be 4 times the number of months that have passed.

N = 4M

When M=11, we have ...

N = 4×11 = 44

Joe needs to read 44 novels in 11 months.

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What is the value of 19 + 5a4 – 3b2 when a = 2 and b = −4?

densk [106]

19 + 5a⁴ - 3b²
19 + 5(2)⁴ - 3(-4)²
19 + 5(16) - 3(16)
19 + 80 - 48
99 - 48
51

7 0

2 years ago

2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?

NNADVOKAT [17]

Standard form: ax^2 + bx + c = y

Steps to simplify:

2x^2 - 1 = 3x + 4

~Subtract (3x + 4) to both sides

2x^2 - 1 - 3x + 4 = 3x + 4 - 3x + 4

~Simplify

2x^2 - 3x - 5 = 0

(a = 2, b = -3, c = -5)

Now that we know what these values are, we can use the quadratic formula to solve.

$x=\frac{-b-+\sqrt{b^2-4ac} }{2a} \\x = \frac{-(-3)-+\sqrt{-3^2-4(2)(-5)} }{2(2)}\\x= \frac{-3-+\sqrt{49} }{4} \\x=\frac{3-+7}{4} \\x = \frac{10}{4}~or~\frac{-4}{4} \\x=\frac{5}{2}~or~-1$

Answer: x = 5/2 or x = -1

Best of Luck!

5 0

3 years ago

The relationship between the scale factor and the volume ratio is that the volume ratio is

Oxana [17]

Answer:

triple the scale factor

Step-by-step explanation:

meaning the scale factor would have to be ³ (cubed) to become the volume ratio

8 0

3 years ago

[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with dx = 0.01 is

otez555 [7]

Answer:

$\frac{1}{200}$

Step-by-step explanation:

Find the derivative of the function when x=3

$y=\sqrt{2(x-1)}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}$

$\frac{dy}{dx}=\frac{1}{\sqrt{4}}$

$\frac{dy}{dx}=\frac{1}{2}$

Since the change in the value of the function is $dy$ and we know that the change in x is $dx=0.01$ , then we have:

$\frac{dy}{dx}=\frac{1}{2}$

$dy=\frac{1}{2}dx$

$dy=\frac{1}{2}(0.01)$

$dy=\frac{1}{200}$

Therefore, the 2nd option is correct

8 0

2 years ago

Y=109x y=79x+2506 can some one solve both equations and a graph would be helpful plz

Amiraneli [1.4K]

Answer:

x ≈ 83.533

y = 9105.13

Step-by-step explanation:

Step 1: Substitution

109x = 79x + 2506

30x = 2506

x = 83.533

Step 2: Plug x in

y = 109(83.533)

y = 9105.13

Graphically:

5 0

3 years ago