Pls help me with this i need help pls :)

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

Answer:

y=4x-3 (third one)

Step-by-step explanation:

if you replace the x in the equation with any of the x values in the table it will equal the corresponding y value.

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Squad root of 130 by using the Babylonian method. Let 11.5 be initial.

tangare [24]

The Babylonian method for approximating square roots is the recursive method given by:

Given:

x0≈k−−√
x
0
≈
k

Then:

xn+1=x2n+k2xn
x
n
+
1
=
x
n
2
+
k
2
x
n

where k
k
is the number for which we are approximating the square root.

So, armed with this formula, let's now answer the given questions:

1.) Fill in the missing info in the problem to find square root 130 by using the Babylonian method. Let 11.5 be your initial guess.

We will use 15 digits of precision here since it is not stated how many iterations to carry out:

x0=11.5
x
0
=
11.5

x1≈11.4021739130435
x
1
≈
11.4021739130435

x2≈11.4017542587143
x
2
≈
11.4017542587143

x3≈11.4017542509914
x
3
≈
11.4017542509914

x4≈11.4017542509914
x
4
≈
11.4017542509914

Thus, with 15 digits of accuracy, we may state:

130−−−√≈11.4017542509914
130
≈
11.4017542509914

2.) Use the Babylonian method for your next estimate of square root 115 by using 10.7262 as your guess what's your next result?

The next result here is approximately:

x1=10.72622+1152⋅10.7262≈10.7238055620816
x
1
=
10.7262
2
+
115
2
⋅
10.7262
≈
10.7238055620816

3.) Nails wants to use the Babylonia method to estimate square root 58 to the nearest hundredth her initial estimate is 7.8. What is her estimate after she correctly completes the Babylonian method once?

The next result here is:

x1=7.82+582⋅7.8=7.6179487¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
x
1
=
7.8
2
+
58
2
⋅
7.8
=
7.6
179487
¯

4.) If you use the Babylonian method to estimate square root 75 to the nearest hundredth, starting with the estimate 8. What is the next estimate?

The next result here is:

x1=82+752⋅8=8.6875
x
1
=
8
2
+
75
2
⋅
8
=
8.6875

6 0

3 years ago

How much money must you pay into an account at the beginning of each of 20 years in order to have $10,000 at the end of the 20th

Blababa [14]

Answer:

$191

Step-by-step explanation:

6 0

2 years ago

what is the quotient when x3 − 5x2 2x 5 is divided by x − 2? x2 − 3x − 4 x2 − 7x 16 x2 − 3x − 4 − 3 over the quantity of x minus

nekit [7.7K]

The correct answer is: 
x²-3x-4 - $\frac{3}{x-2}$ .

Explanation: 
To divide these polynomials, the dividend, x³-5x²+2x+5, goes under the box, and the divisor, x-2, goes outside of the box.

We first want to find what we multiply x by to make x³; x*x²=x³, so we write x² over -5x² in the box.

Now we multiply our divisor, x-2, by x²: 
x*x²=x³
-2*x²=-2x².

This goes under x³-5x² in the box.

Now we subtract: 
(x³-5x²)-(x³-2x²)=-3x².

This goes below the 2x² we wrote, and we bring down 2x.

Now we see what we multiply x by to make -3x²;
x*-3x=-3x², so we write -3x beside x² in the quotient (at the top).

We multiply our divisor, x-2, by -3x: 
x*-3x=-3x²
-2*-3x=6x.

We write -3x²+6x under our -3x²+2x and subtract:
(-3x²+2x)-(-3x²+6x)=-4x.

Write this below 6x. Bring down +5.

Now we see what we multiply x by to make -4x;
x*-4=-4x, so write -4 beside -3x in the quotient.

Multiply our divisor, x-2, by -4: 
x*-4=-4x;
-2*-4=8;

write -4x+8 below -4x+5 and subtract:
(-4x+5)-(-4x+8)=-3.

This gives us the quotient x²-3x-4 with a remainder of -3, so we write our full answer as x²-3x-4-(3/x-2).

3 0

3 years ago

Read 2 more answers

Please help me! I’m begging you I’ll mark you brainly! I need it by now

Inessa05 [86]

Answer:

Boxes at the top are as follows

Monomial. 1. 4x

Binomial. 2. 4x+2

Trinomial. 3.

Polynomial. More than 3.

${5x}^{4} + {2x}^{3} + {12x}^{2} + 135$