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Katyanochek1 [597]
2 years ago
7

23. The solution set for x – 13=- 144x

Mathematics
1 answer:
kvasek [131]2 years ago
4 0

Answer:X=13/145

Step-by-step explanation:

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(V2.00)<br>Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form.<br>​
Mashutka [201]

Answer:

The standard form of the quadratic equation is f(x)=-2x^{2}+12x-16

Step-by-step explanation:

we know that

The standard form of a quadratic equation is

f(x)=ax^{2}+bx+c

we have

f(x)=-2(x-3)^{2}+2

convert to standard form

f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16

6 0
3 years ago
7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective
Elina [12.6K]

Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

E_{IR} = \frac{E}{P}.

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}.

So

E = 6200*0.0884*\frac{1}{9} = 60.9

The effective interest rate is

E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0
3 years ago
If the measure of angle ABF=6x+26 and the measure of angle EBF=2x9 and measure of angle ABE= 11x-31 find the measure of angle AB
Hunter-Best [27]

Its not clearly given that whether EBF = 2x + 9 or 2x - 9.

I have written the solution for both.

If EBF = 2x + 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x + 9)

           = (6x + 2x) + (26 + 9)

           = 8x + 35

11x - 8x = 35 + 31

3x = 66

x = 22

Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°

If EBF = 2x - 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x - 9)

           = (6x + 2x) + (26 - 9)

           = 8x + 17

11x - 8x = 17 + 31

3x = 48

x = 16

Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

4 0
3 years ago
24a - 22 = -4(1-6a)<br><br> solve for a​
maw [93]

Answer:

No solution

Step-by-step explanation:

24a-22= -4(1-6a)

24a-22= -4+24a

-24a            -24a

0-22= -4

-22= -4

8 0
3 years ago
Read 2 more answers
Please help me solve all of these for M and B.
erastovalidia [21]

Answer:

In number 1:

m = 10/3

b = 19

Step-by-step explanation:

To find the answers to these, simply look to the coefficient of x and the constant at the end of the equation. The number attached to x is always m (which is known as the slope). The number at the end is b (or the y-intercept).

6 0
3 years ago
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